(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR
 (6046 178
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (5639 178
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1084 178
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1068 178
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (805 805
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (746 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (689 32
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (686 25
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (606 606
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (550 25
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (400 334
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (356 356 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (356 356
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (356 356
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (356 356
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (356 356
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (334 334
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (334 334
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (315 290
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (208
    208
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (208 208
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (208 208
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (208
     208
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (208 208
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (208 208
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (208 208
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (208 208
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (181 181
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (181 181
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (181 181
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (178 178
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (178 178
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (178 178
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (178 178
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (133 133
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (113 113
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (84 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (51 51
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (51 51
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (50 25
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (45 45
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (45 45
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (33 33
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (26 26
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (26 26
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 25
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (25 25 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (25 25
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (25 25
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (25 25
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (21 21
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (15 15
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6
   6
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-UNDER-IFF
    (2 2
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
    (1 1
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR
 (1002 30
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (933 30
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (329 329
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (276 276
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (223 13
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (183 30
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (182 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (180 30
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (154 7 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (151 65
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (79 65
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (65 65
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (60 60 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (60 60
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (60 60
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (60 60 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (60 60
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (58
    58
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (58 58
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (41 41
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (30 30
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (24 24
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (14 7
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR
 (1002 30
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (933 30
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (294 294
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (245 245
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (200 14
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (183 30
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (180 30
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (142 62
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (132 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (74 62
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (62 62
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (60 60 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (60 60
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (60 60
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (60 60 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (60 60
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (49
    49
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (49 49
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (49 49
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (38 38
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (30 30
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR
 (1002 30
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (933 30
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (395 20
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (379 379
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (325 49
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (320 320
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (276 12
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (265 95
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (224 14
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (204 6
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (183 30
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (183 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (180 30
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (156 12
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (156 12
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (109 71
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (95 95
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (87 57
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (72 12
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (65
    65
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (65 65
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (65 65
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (65 65
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (65 65
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (65 65
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (65 65
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (65 65
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (60 60 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (60 60
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (60 60
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (60 60 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (60 60
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (49 49
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (49 49
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (46 46
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (30 30
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (30 30
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 20
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (15 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12
  12
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (12
   12
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (12
  12
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (12
  12
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (12 12
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (12 12
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (12
  12
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (12 12
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (12
  12
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (12
  12
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP
 (32672 881
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (30790 862
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (8073 495
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (5222 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (5162 881
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (5146 881
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (3991 190
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (3050 100
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (2351 1996
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (2146 2146
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2137 2137
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2133 2133
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2133 2133
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2133 2133
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (2133 2133
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2133 2133
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2133 2133
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1706 1706 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1706 1706
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1706 1706
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1706 1706
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1706 1706
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1036 28
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (952 28
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (881 881
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (881 881
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (881 881
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (881 881
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (881 881
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (881 881
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (875 875
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (862 862
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (738
     9
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (694 33
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (519
    519
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (519 519
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (519 519
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (519
     519
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (519 519
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (519 519
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (519 519
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (519 519
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (495 495
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (495 495
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (495 495
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (316 316
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (316 316
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (316 316
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (306 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (306 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (211
    211
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (198 9
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (190 190
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (166 166
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (165 33
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (132 33
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (124 31
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (122 122
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (122 122
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (122 122
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (117 117
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (100 100 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (100 100
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (80 80
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (80 80
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (80 80
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (80 80
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (71 71
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (71 71
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (71 71
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (71 71
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (71 71 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (62 31
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (61
   61
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (61 61
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (54 9
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (50 50
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (50 50
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (50 50
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (41 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (38 38
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (38 38
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (37 37
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (36 9
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (33 33
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (33 33
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (31 31
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (31 31
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (31 31
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (31 31
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (31 31
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (31 31
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (25 25
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (16 16
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (9 9 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP
 (672 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (623 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (308 14 (:DEFINITION NOT))
 (254 17
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (176 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (128 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (104 49
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (70 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (59 49
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (57 47
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (49 49
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (17 17
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (17 17
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (17 17
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1252 40
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1158 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (572 26 (:DEFINITION NOT))
 (508 34
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (352 16
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (244 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (240 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (200 94
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (140 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (114 94
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (110 90
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (94 94
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (80 80 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (80 80 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (80 80
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (40 40
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (40 40
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (40 40
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 16
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12
    12
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP
 (699 36
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (672 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (623 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (382 25
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (261 99
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (248
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (128 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (99 99
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (77 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (52
    18
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (40 40
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (36 36
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (36 36
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (36 36
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12
    12
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (8 8 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP
 (672 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (623 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (348 21
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (308 22
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (248
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (196 83
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (128 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (110 18
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (92 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (83 83
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (77 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (23
    17
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (17 17
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (17 17
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (17
  17
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (17
  17
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (17
    17
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (17
  17
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (17
  17
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (17
  17
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (17
  17
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (17
  17
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (17
    17
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (17
  17
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (17
    17
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (17
  17
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (17
  17
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
  4
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP
 (672 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (623 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (401 27
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (331 24
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (248
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (215 88
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (128 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (117 25
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (92 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (88 88
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (86 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (70 55
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31
    19
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (24 24
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (19 19
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (19 19
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (19
  19
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (19
  19
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
  4
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-HIGH
 (3374 98
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3151 98
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (596 98
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (588 98
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (393 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (310 13
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (208 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (196 196 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (196 196
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (196 196
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (196 196
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (196 196
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (177 177
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (176 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (100 100
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (98 98
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (98 98
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (98 98
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (98 98
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (98 98
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (98 98
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (98 98
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (55
    55
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (55 55
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (55 55
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (54 54
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (46 46
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (27 27
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (19 19
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (19 19
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (13 13
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (13 13
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (13 13
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR
 (1090 31
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1020 31
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (188 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (186 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (130 59
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (123 6 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (123 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (89 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (73 59
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (63 53
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62 62
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (59 59
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (43 43
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (37
    37
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (37 37
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (37 37
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (31 31
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (31 31
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (27 27
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (17 17
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-UNDER-IFF
    (1 1
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR
 (288 9
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (267 9
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (97 4 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (78 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (66 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (55 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (53 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (44 44
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 22
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (18 18 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (18 18 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (18 18
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (9 9
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (3 3
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR
 (864 27
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (801 27
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (196 10
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (164 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (163 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (132 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (130 56
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (75 75
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (68 56
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (56 56
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (28
    28
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR
 (288 9
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (267 9
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (147 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (109 17
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (98 5 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (92 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (91 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (79 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (60 60
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (55 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (38 24
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (32 32
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 18
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (20
    20
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (18 18 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (18 18
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (9 9
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4
  4
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (3 3
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP
 (20612 569
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (19391 557
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (5180 332
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (3526 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (3324 569
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (3314 569
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (3089 149
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2252 74
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1561 1291
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1411 1411
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1403 1403
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1399 1399
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1399 1399
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1399 1399
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1399 1399
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1399 1399
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1399 1399
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1098 1098 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1098 1098
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1098 1098
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1098 1098
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1098 1098
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (740 20
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (680 20
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (656
     8
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (569 569
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (569 569
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (569 569
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (569 569
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (569 569
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (569 569
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (557 557
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (518 25
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (332 332
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (332 332
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (332 332
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (305
    305
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (305 305
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (305 305
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (305
     305
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (305 305
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (305 305
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (305 305
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (305 305
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (282 282
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (272 8
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (272 8
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (240 240
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (240 240
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (240 240
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (176 8
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (149 149
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (125 25
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (119 119
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (115
    115
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (100 25
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (96 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (94 94
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (94 94
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (89 89
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (74 74 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (74 74
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (71 71
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (63 63
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (63 63
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (63 63
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (54 54
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (54 54
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (54 54
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (54 54
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (54 54 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (48 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (48 8
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (41 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (40
   40
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (32 8
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (25 25
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (24 24
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (24 24
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (24 24
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (18 18
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (9 9 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (8 8
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP
 (576 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (534 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (264 12 (:DEFINITION NOT))
 (210 15
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (176 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (110 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (92 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (70 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (53 43
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (51 41
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (43 43
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (15 15
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (15 15
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (15 15
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1060 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (980 34
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (484 22 (:DEFINITION NOT))
 (420 30
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (352 16
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (208 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (204 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (176 82
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (140 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (102 82
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (98 78
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (82 82
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (68 68 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (68 68
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (68 68
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (68 68 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (68 68
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 16
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP
 (633 33
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (576 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (534 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (382 25
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (249
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (240 90
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (110 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (90 90
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (77 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (48
    16
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33 33
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (33 33
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (33 33
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20 20
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (16 16
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (16 16
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (16
  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (16
  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (8 8 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP
 (576 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (534 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (308 22
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (304 19
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (249
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (182 76
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (110 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (110 18
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (92 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (77 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (76 76
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (22
    16
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (16 16
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (16
  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (16
  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4
  4
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP
 (576 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (534 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (357 25
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (331 24
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (249
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (201 81
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (117 25
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (110 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (92 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (86 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (81 81
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (64 49
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30
    18
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 25
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (25 25
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (25 25
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (24 24
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (12 12
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4
  4
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-HIGH
 (2200 67
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2045 67
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (408 67
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (402 67
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (268 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (238 10
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (134 134 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (134 134
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (134 134
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (134 134
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (134 134
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (132 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (119 119
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (67 67
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (67 67
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (67 67
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (67 67
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (67 67
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (67 67
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (67 67
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (42 42
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (34
    34
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (21 21
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (15 15
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::CLAUSE.THEOREM-AUX-SPLIT-POSITIVE)
(MILAWA::CLAUSE.THEOREM-AUX-SPLIT-POSITIVE-PROOF)
(MILAWA::LOGIC.FORMULAP-OF-CLAUSE.THEOREM-AUX-SPLIT-POSITIVE)
(MILAWA::CONCLUSION-OF-CLAUSE.THEOREM-AUX-SPLIT-POSITIVE-PROOF)
(MILAWA::LOGIC.PROOFP-OF-CLAUSE.THEOREM-AUX-SPLIT-POSITIVE-PROOF)
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-BLDR
 (6346 211
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (5844 211
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1308 176
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1061 176
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (719 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (514 514
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (513 513
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (513 513
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (513 513
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (468 468
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (340 340
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (340 340
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (328 328 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (328 328
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (328 328
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (322 322
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (312 12 (:REWRITE MILAWA::|(< 1 (len x))|))
 (296 296
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (296 296
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (295 285
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (288 288
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (252
     252
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (252 252
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (242 242
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (242 242
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (242 242
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (234 234
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (234 234
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (234 234
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (216 216
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (216 216
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (211 211
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (211 211
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (211 211
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (192 192
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (174 174
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (157
    157
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (157 157
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (157 157
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (157
     157
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (157 157
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (157 157
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (157 157
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (157 157
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (127 127
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (108 108
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (108
     108
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (108 108
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (80 80
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (53 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (50 50
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (36 36
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (36 12 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (27 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (25 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (13 13
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (13 13
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (13 13 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (12 12
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (12 12
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (10 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR
 (628 31
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (547 31
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (251 251
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (251 251
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (251 251
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (234 234
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (194 194
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (144 144
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (126
     126
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (126 126
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (123 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (117 117
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (117 117
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (117 117
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (116 11
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (110 40
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (108 108
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (108 108
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (103 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (54 54
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (54 54
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (40 40
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (33 33
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (33 33
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (32 32 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (32 32 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (32 32
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (31
    31
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (31 31
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (31 31
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (31 31
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (30 30
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 29
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (26 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (19 19
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR
 (1304 74
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1106 74
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (532 532
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (532 532
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (532 532
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (494 494
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (464 23
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (443 443
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (304 304
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (266
     266
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (266 266
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (247 247
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (247 247
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (247 247
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (247 92
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (246 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (228 228
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (228 228
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (206 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (114
     114
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (114 114
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (105 105
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (104 104
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (104 104
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (104 104
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (92 92
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (79 79
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (74 74
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (74 74
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (74 74
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (71 71
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (71 71
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (67 67
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (66 66
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (66 66
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62
    62
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (62 62
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (62 62
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (55 55
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (52 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (50 50
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (21 21
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR
 (700 36
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (605 36
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (341 341
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (341 341
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (341 341
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (272 272
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (192 192
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (168
     168
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (168 168
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (158 158
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (158 158
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (158 158
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (147 54
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (144 144
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (144 144
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (129 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (119 14
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (109 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 72
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (72 72
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (71 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (62 37
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (56 56
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (56 56
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (56 56
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (54 54
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (52 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (41 41
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (41 41
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (40 15
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (38
    38
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (38 38
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (36 36
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (35 35
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (35 35
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (32 32
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (24 24
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (23 23
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP
 (69418 1870
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (65363 1852
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (23851 1339
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (12700 1870
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (12408 4980
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (11108 1870
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (10162 303
        (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (8764 484
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (5878 4618
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (4994 4994
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4980 4980
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (4976 4976
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (4976 4976
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (4976 4976
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (4976 4976
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (4899 4899
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (4899 4899
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (3599 3599
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (3599 3599
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (3522 3522 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (3522 3522
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (3522 3522
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2146 58
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (2002 77 (:REWRITE MILAWA::|(< 1 (len x))|))
 (1972 58
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (1870 1870
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1870 1870
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1870 1870
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1870 1870
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1870 1870
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1870 1870
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1852 1852
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1354 63
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (1339 1339
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1339 1339
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1339 1339
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1148
     14
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (893
    893
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (893 893
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (893 893
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (893
     893
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (893 893
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (893 893
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (893 893
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (893 893
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (816 816
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (816 816
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (816 816
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (800 200
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (710
    710
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (710 710
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (684 684
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (484 484
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (476 14
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (476 14
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (400 200
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (375 375
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (342 342
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (315 63
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (313 313
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (313 313
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (308 14
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (303 303 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (266 266
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (266 266
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (266 266
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (266 266
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (252 252
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (252 252
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (252 252
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (252 252
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (252 252 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (252 63
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (231 77 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (202 202
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (202 202
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (202 202
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (200 200
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (200
     200
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (200 200
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (200 200
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (200 200
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (200
     200
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (200 200
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (200 200
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (192 192
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (184 184
      (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (130
   130
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (130 130
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (119 119
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (84 14
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (77 77
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (77 77
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (77 77
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (74 74
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (71 71
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (68 68
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (68 68
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (67 67
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (64 64
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (64 64
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (63 63
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (63 63
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (56 14
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (41 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (33 33
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (14 14 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (14 14
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP
 (910 28
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (845 28
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (436 27
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (418 19 (:DEFINITION NOT))
 (268 13
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (190 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (172 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (155 73
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (105 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (88 73
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (83 68
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (73 73
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (72 72
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (72 72
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (55 55
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (55 55
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12
    12
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1728 54
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1602 54
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (872 54
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (792 36 (:DEFINITION NOT))
 (536 26
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (368 54
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (332 54
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (302 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (172 142
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (162 132
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (142 142
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (106 106
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (106 106
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (104 104 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (104 104
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (104 104
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (54 54
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (54 54
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (54 54
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (54 54
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (54 54
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (54 54
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (54 54
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (28 28
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24
    24
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (24
    24
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP
 (1038 53
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (956 29
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (889 29
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (498 33
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (372 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (250
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (190 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (172 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (141 141
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (136 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (88 1
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (73
    25
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (55 55
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (55 55
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (53 53
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (53 53
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (53 53
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (29 29
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (29 29
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (25 25
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (25 25
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (25
   25
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (25
  25
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (25
   25
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (25
    25
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (25
   25
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (25
    25
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (25
  25
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (25
    25
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (25
   25
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (25
   25
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (25
  25
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (25
    25
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (25
  25
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (25
  25
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (25
  25
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (25
  25
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (25
    25
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (25
  25
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (25
  25
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (25
    25
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (25
    25
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (25
  25
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (25
  25
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (25
  25
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (25
   25
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (25
  25
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (25
    25
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (25
  25
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (25
  25
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (25
    25
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (25
   25
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (25
  25
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (25
  25
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (25
   25
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (25
   25
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (25
   25
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (25
   25
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (25
   25
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (25
  25
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (25
   25
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (25
  25
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (25
   25
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (25
  25
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (25
   25
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (25 25
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (24
    24
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (24
    24
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (24 24
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (11 11 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP
 (966 29
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (899 29
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (527 31
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (345 26
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (250
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (249 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (196 29
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (178 29
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (111 111
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (103 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (84 74
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (57 57
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (57 57
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (56 56 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (56 56 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (56 56
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (36 11
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31 31
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (31 31
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (31 31
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (30
    24
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (29 29
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (29 29
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (29 29
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (29 29
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (29 29
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (24 24
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (24 24
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (24
   24
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (24
  24
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (24
   24
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (24
    24
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (24
   24
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (24
    24
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (24
  24
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (24
    24
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (24
   24
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (24
   24
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (24
  24
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (24
    24
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (24
  24
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (24
  24
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (24
  24
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (24
  24
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (24
    24
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (24
  24
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (24
  24
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (24
    24
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (24
    24
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (24
  24
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (24
  24
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (24
  24
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (24
   24
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (24
  24
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (24
    24
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (24 24
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (24
  24
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (24
  24
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (24
    24
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (24
   24
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (24
  24
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (24
   24
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (24
   24
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (24
   24
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (24
   24
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (24
   24
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (24
  24
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (24
   24
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (24
  24
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (24
   24
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (24
  24
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (24
   24
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (24 24
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (23
    23
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22
    22
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP
 (966 29
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (899 29
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (580 37
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (369 28
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (268 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (250
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (196 29
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (178 29
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (121 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (116 116
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (115 115
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (115 115
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (111 81
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (57 57
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (57 57
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (56 56 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (56 56 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (56 56
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (43 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (38
    26
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (38 2
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (29 29
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (29 29
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (29 29
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (29 29
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (29 29
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (28 28
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (26 26
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (26
   26
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (26
  26
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (26
   26
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (26
    26
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (26
   26
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (26
    26
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (26
  26
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (26
    26
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (26
   26
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (26
   26
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (26
  26
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (26
    26
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (26
  26
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (26
  26
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (26
  26
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (26
  26
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (26
    26
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (26
  26
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (26
  26
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (26
    26
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (26
    26
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (26
  26
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (26
  26
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (26
  26
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (26
   26
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (26
  26
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (26
    26
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (26 26
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (26
  26
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (26
  26
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (26
    26
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (26
   26
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (26
  26
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (26
  26
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (26
   26
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (26
   26
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (26
   26
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (26
   26
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (26
   26
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (26
  26
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (26
   26
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (26
  26
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (26
   26
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (26
  26
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (26
   26
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (26 26
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23
    23
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (22
    22
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.~ARG))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-BLDR-HIGH
 (5768 161
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (5407 161
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1218 161
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (971 161
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (590 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (312 12
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (312 12 (:REWRITE MILAWA::|(< 1 (len x))|))
 (310 310
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (310 310
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (301 277
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (298 298 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (298 298
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (298 298
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (277 277
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (265 265
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (265 265
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (253 253
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (198 9 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (180 12
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (161 161
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (161 161
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (161 161
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (161 161
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (161 161
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (161 161
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (161 161
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (156 12
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (144 24
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (120 24
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (116 116
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (98
    98
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (98 98
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (98 98
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (98 98
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (98 98
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (98 98
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (98 98
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (98 98
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (65 65
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (59 59
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (59 59
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (49 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (39 39
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (36 12 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (34 34
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (25 25
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (25 25
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (25 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (24
  24
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (24
  24
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (15 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (13 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (12 12
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (12 12
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (12
    12
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (12
   12
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (12 12
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (12 12
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (12 12
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 12
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR
 (9526 334
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (8719 334
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1881 261
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1573 261
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1126 494
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1114 1114
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1114 1114
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1114 1114
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1040 1040
       (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (990 990
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (640 640
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (618 618
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (560
     560
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (560 560
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (520 520
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (520 520
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (520 520
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (507 507
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (507 507
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (494 494
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (494 494
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (492 492 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (492 492
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (492 492
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (480 480
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (480 480
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (447 447
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (447 447
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (443 433
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (390 15 (:REWRITE MILAWA::|(< 1 (len x))|))
 (375 375
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (375 375
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (375 375
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (334 334
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (334 334
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (334 334
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (322 322
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (297 297
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (242
    242
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (242 242
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (242 242
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (242
     242
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (242 242
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (242 242
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (242 242
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (242 242
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (240
     240
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (240 240
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (222 222
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (139 139
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (65 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (64 64
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (55 55
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (46 46
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (45 45
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (45 45
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (45 15 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (33 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (27 27
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (27 27
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (16 16 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (10 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR
 (756 42
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (644 42
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (413 413
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (413 413
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (413 413
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (390 390
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (282 282
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (240 240
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (210
     210
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (210 210
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (195 195
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (195 195
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (195 195
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (180 180
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (180 180
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (164 17
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (152 52
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (141 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (121 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (91 91
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (90 90
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (57 57
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (57 57
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (57 57
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (53 53
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (52 52
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (42 42
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (42 42
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (42 42
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (39 39
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (39 39
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (38 38 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (38 38 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (38 38
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (38 38
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (36
    36
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (28 28
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR
 (1648 118
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1322 118
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1051 1051
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1051 1051
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1051 1051
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (988 988
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (882 42
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (774 774
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (608 608
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (532
     532
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (532 532
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (494 494
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (494 494
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (494 494
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (456 456
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (456 456
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (396 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (336 336
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (282 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (242 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (228
     228
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (228 228
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (182 182
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (179 179
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (148 148
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (148 148
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (148 148
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (138 138
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (118 118
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (118 118
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (118 118
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (96 96
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (90 90
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (80 80
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (78
    78
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (78 78
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (76 76 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (76 76 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (76 76
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (52 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (40 40
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 25
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR
 (836 49
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (704 49
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (557 557
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (557 557
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (557 557
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (390 390
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (320 320
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (280
     280
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (280 280
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (262 262
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (262 262
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (262 262
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (240 240
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (240 240
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (187 68
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (169 22
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (147 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (127 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (120
     120
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (120 120
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (96 96
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (71 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (68 68
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (68 43
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (52 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (49 49
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (49 49
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (49 49
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (44
    44
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (44 44
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (44 44
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (44 19
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (41 41
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (41 41
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 40 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (40 40 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (40 40
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 40
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 34
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (34 34
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (29 29
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP
 (113019 3015
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (106487 2986
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (37247 2141
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (20124 3015
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (19146 7902
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (17937 3015
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (14534 776
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (13979 416
        (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (9145 7405
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (7918 7918
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7902 7902
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (7898 7898
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (7898 7898
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (7898 7898
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (7898 7898
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (7792 7792
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (7792 7792
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (5834 5834
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (5834 5834
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (5728 5728 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (5728 5728
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (5728 5728
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (3169 3169
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3145 85
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (3015 3015
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (3015 3015
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (3015 3015
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (3015 3015
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (3015 3015
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (3015 3015
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2986 2986
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2890 85
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (2756 106 (:REWRITE MILAWA::|(< 1 (len x))|))
 (2141 2141
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2141 2141
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2141 2141
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1948 90
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (1608
    1608
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (1608 1608
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (1608
      1608
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1608
     1608
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1608 1608
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (1608 1608
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (1608 1608
       (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (1608
      1608
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1312
     16
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1114 1114
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1114 1114
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1114 1114
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1088 272
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1068 1068
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (942 942
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (776 776
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (579 579
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (544 272
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (544 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (544 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (450 90
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (437 437
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (437 437
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (416 416 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (365 365
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (365 365
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (365 365
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (365 365
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (360 90
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (352 16
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (348 348
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (348 348
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (348 348
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (348 348
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (348 348 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (329 329
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (318 106
      (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (285 285
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (285 285
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (285 285
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (272 272
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (272
     272
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (272 272
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (272 272
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (272 272
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (272
     272
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (272 272
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (272 272
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (252 252
      (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (220
   220
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (220 220
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (164 164
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (112 112
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (106 106
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (106 106
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (105 105
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (96 16
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (95 95
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (95 95
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (94 94
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (91 91
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (91 91
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (90 90
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (90 90
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (65
    65
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (64 16
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (41 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (39 39
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (39 39
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (17 17 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (15
    15
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP
 (1056 33
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (979 33
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (504 32
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (484 22 (:DEFINITION NOT))
 (312 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (220 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (202 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (177 84
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (105 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (99 84
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (94 79
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (84 84
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (65 65
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (65 65
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 39
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33 33
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (2020 64
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1870 64
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1008 64
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (924 42 (:DEFINITION NOT))
 (624 30
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (428 64
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (392 64
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (346 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (194 164
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (184 154
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (164 164
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (124 124 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (124 124
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (124 124
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (64 64
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (64 64
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (64 64
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (64 64
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (64 64
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (64 64
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (64 64
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30 30
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (28 28
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP
 (1200 62
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1102 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1023 34
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (588 39
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (428 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (251
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (220 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (202 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (163 163
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (136 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (88 1
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (86
    30
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (70 70
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (65 65
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (65 65
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (39 39
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 34
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 23
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP
 (1112 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1033 34
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (595 36
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (391 30
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (279 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (251
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (226 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (208 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (126 126
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (103 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (95 85
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (67 67
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (67 67
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (66 66 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (66 66 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (66 66
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (64 64
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (36 36
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (36 36
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (36 36
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36 11
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34
    28
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (28 28
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (28
  28
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (28
  28
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (28
    28
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (28
  28
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (28
  28
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (28
  28
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (28
  28
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (28
  28
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (28
    28
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (28
  28
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (28
    28
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (28
  28
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (28
  28
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP
 (1112 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1033 34
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (648 42
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (415 32
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (298 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (251
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (226 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (208 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (131 131
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (122 92
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (121 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (67 67
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (67 67
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (66 66 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (66 66 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (66 66
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (64 64
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (43 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (42 42
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (42 42
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (42 42
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (42
    30
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (42 2
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.~ARG))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-HIGH
 (8696 242
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (8154 242
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1767 242
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1459 242
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (865 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (469 469
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (469 469
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (454 454 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (454 454
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (454 454
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (440 410
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (410 410
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (395 395
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (395 395
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (390 15
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (390 15 (:REWRITE MILAWA::|(< 1 (len x))|))
 (380 380
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (328 328
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (264 12
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (242 242
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (242 242
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (242 242
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (242 242
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (242 242
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (242 242
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (242 242
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (225 15
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (195 15
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (180 30
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (161 161
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (154
    154
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (154 154
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (154 154
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (154
     154
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (154 154
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (154 154
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (154 154
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (154 154
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (150 30
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (109 109
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (75 75
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (61 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (58 58
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (45 15 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (44 44
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (44 44
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (42 42
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (31 31
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (31 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (30
  30
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (30
  30
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (15
    15
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (15
   15
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (15 15 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (15 15
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (15 15
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (15 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR
 (10092 276
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (9478 276
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1992 276
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1899 1899
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1662 276
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1429 1429
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1051 488
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (678 26
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (547 488
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (536 536
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (536 536
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (520 520 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (520 520
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (520 520
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (488 488
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (488 488
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (472 472
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (472 472
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (465 450
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (421 22
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (416 16 (:REWRITE MILAWA::|(< 1 (len x))|))
 (313
    313
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (313 313
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (313 313
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (313
     313
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (313 313
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (313 313
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (313 313
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (313 313
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (276 276
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (276 276
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (276 276
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (276 276
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (276 276
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (276 276
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (276 276
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (130 130
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (88 22
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (84 84
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (62 62
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (51 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (48 48
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (48 16 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (44 44
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (44 44
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (26 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (26 26 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (25 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 25
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (25 25
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (22 22
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (22 22
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (16 16
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (16 16
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16 16
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (7
  7
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR
 (2292 69
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2133 69
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (766 766
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (639 639
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (477 69
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (417 69
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (249 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (182 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (181 13
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (135 135
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (135 135
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (132 132 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (132 132
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (132 132
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (128 114
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (114 114
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (94
    94
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (94 94
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (94 94
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (94 94
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (94 94
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (94 94
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (94 94
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (94 94
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (69 69
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (69 69
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (69 69
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (69 69
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (53 53
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (28 28
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (21 21
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 7
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR
 (2292 69
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2133 69
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (670 670
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (551 551
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (477 69
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (417 69
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (244 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (182 14
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (135 135
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (135 135
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (132 132 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (132 132
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (132 132
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (125 113
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (113 113
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (79
    79
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (79 79
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (79 79
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (79 79
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (79 79
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (79 79
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (79 79
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (79 79
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (69 69
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (69 69
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (69 69
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (69 69
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (54 54
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (21 21
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8
  8
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR
 (2460 72
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2295 72
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (894 894
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (756 756
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (495 72
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (435 72
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (333 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (204 6
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (197 135
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (185 125
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (183 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (182 14
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (141 141
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (141 141
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (141 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (138 138 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (138 138
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (138 138
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (138 138
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (106
    106
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (106 106
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (106 106
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (106
     106
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (106 106
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (106 106
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (106 106
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (106 106
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (105 6
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (102 3
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (100 25
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (72 72
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (72 72
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (72 72
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (72 72
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (72 72
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (72 72
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (72 72
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (58 58
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (39 3
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (39 3
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (32 32
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (21 21
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 3
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (18 3
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (15 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (12 12 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (9 9
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3
  3
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (3
   3
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (3
  3
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (3
  3
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (3 3
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (3 3
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (3 3
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (3 3
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (3 3
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (3
  3
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP
 (164524 4342
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (155144 4300
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (52915 3110
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (28767 4342
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (26956 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (25893 4342
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (22719 1182
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (17845 530
        (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (12905 10695
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (11387 11387
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11369 11369
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (11365 11365
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (11365 11365
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (11365 11365
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (11365 11365
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (11224 11224
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (11224 11224
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (8423 8423
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (8423 8423
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8282 8282 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8282 8282
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8282 8282
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (7304 7304
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4342 4342
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (4342 4342
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (4342 4342
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (4342 4342
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (4342 4342
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (4342 4342
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (4300 4300
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (3996 108
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (3672 108
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (3666 141 (:REWRITE MILAWA::|(< 1 (len x))|))
 (3110 3110
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (3110 3110
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (3110 3110
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2527
    2527
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2495
    2495
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (2495 2495
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (2495
      2495
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2495
     2495
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (2495 2495
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (2495 2495
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (2495 2495
       (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (2495
      2495
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2454 113
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (1476
     18
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1406 1406
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1406 1406
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1406 1406
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1380 345
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1296 1296
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1182 1182
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1032 1032
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (792 792
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (690 345
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (612 18
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (612 18
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (580 580
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (580 580
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (565 113
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (530 530 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (462 462
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (462 462
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (462 462
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (462 462
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (454 454
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (452 113
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (442 442
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (442 442
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (442 442
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (442 442
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (442 442 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (423 141
      (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (411 411
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (411 411
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (411 411
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (396 18
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (345 345
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (345
     345
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (345 345
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (345 345
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (345 345
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (345
     345
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (345 345
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (345 345
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (323 323
      (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (288
   288
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (288 288
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (207 207
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (195 195
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (148 148
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (141 141
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (141 141
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (118 118
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (118 118
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (117
     117
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (114 114
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (114
     114
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (113 113
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (113 113
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (113 113
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (113
     113
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (108 18
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (72 18
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (45 45
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (45 45
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (41 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (32 32
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (32 32
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (32 32
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (32
    32
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (25 25
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (20 20 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (18 18
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (18 18
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (18 18
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (18 18
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (18 18
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (18 18
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP
 (1202 38
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1113 38
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (572 37
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (550 25 (:DEFINITION NOT))
 (356 17
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (250 38
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (232 38
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (199 95
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (110 95
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (105 90
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (105 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (95 95
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (75 75
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (75 75
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (74 74 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (74 74 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (74 74
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (67 67
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (38 38
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (38 38
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (38 38
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (38 38
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (38 38
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (38 38
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (17 17
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (2312 74
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2138 74
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1144 74
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1056 48 (:DEFINITION NOT))
 (712 34
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (488 74
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (452 74
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (390 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (216 186
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (206 176
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (186 186
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (184 184
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (184 184
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (146 146
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (146 146
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (144 144 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (144 144
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (144 144
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (134 134
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (74 74
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (74 74
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (74 74
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (74 74
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (74 74
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (74 74
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (74 74
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (74 74
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (74 74
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (74 74
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (54
    54
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (36
    36
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (34 34
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (28 28
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP
 (1362 71
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1248 39
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1157 39
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (678 45
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (484 185
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (252
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (250 38
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (232 38
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (185 185
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (136 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (123 123
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (116 116
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (99
    35
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (88 1
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (75 75
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (75 75
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (74 74 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (74 74 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (74 74
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (71 71
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (71 71
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (71 71
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (54
    54
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (44 44
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (43 43
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (43 43
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (43 43
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (39 39
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (39 39
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (38 38
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (38 38
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (38 38
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (36
    36
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (35 35
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (35 35
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (35
   35
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (35
  35
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (35
   35
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (35
    35
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (35
   35
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (35
    35
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (35
  35
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (35
    35
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (35
   35
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (35
   35
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (35
  35
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (35
    35
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (35
  35
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (35
  35
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (35
  35
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (35
  35
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (35
    35
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (35
    35
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (35
    35
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (35
  35
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (35
   35
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (35
    35
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (35 35
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (35
  35
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (35
  35
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (35
    35
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (35
   35
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (35
   35
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (35
   35
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (35
   35
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (35
   35
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (35
   35
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (35
   35
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (35
   35
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (35
  35
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (35
   35
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (35 35
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (15 15 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP
 (1258 39
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1167 39
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (663 41
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (437 34
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (309 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (256 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (252
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (238 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (141 141
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (109 109
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (109 109
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (107 107
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (106 96
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (103 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (77 77
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (77 77
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (76 76 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (76 76 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (76 76
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (50
    50
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (39 39
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (39 39
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (38
    32
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (36 11
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32
    32
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (32 32
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (32
  32
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (32
  32
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (32
    32
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (32
  32
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (32
  32
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (32
  32
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (32
  32
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (32
  32
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (32
    32
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (32
  32
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (32
    32
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (32
  32
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (32
  32
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP
 (1258 39
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1167 39
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (716 47
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (461 36
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (328 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (256 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (252
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (238 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (147 147
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (147 147
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (147 147
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (147 147
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (146 146
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (133 103
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (121 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (115 115
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (115 115
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (107 107
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (77 77
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (77 77
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (76 76 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (76 76 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (76 76
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (50
    50
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (47 47
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (47 47
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (47 47
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (46
    34
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (46 2
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (43 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (39 39
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (39 39
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (36 36
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (34 34
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (34
  34
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (34
  34
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (34
    34
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (34
  34
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (34
  34
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (34
  34
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (34
  34
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (34
  34
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (34
    34
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (34
  34
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (34
    34
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (34
  34
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (34
  34
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32
    32
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (31 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.~ARG))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VLHS))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-HIGH
 (12246 342
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (11479 342
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2451 342
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2061 342
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1199 571
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (665 665
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (665 665
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (646 646 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (646 646
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (646 646
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (642 642
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (609 571
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (571 571
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (571 571
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (552 552
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (552 552
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (533 533
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (494 19
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (494 19 (:REWRITE MILAWA::|(< 1 (len x))|))
 (342 342
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (342 342
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (342 342
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (342 342
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (342 342
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (342 342
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (342 342
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (330 15
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (270 18
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (234 18
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (221
    221
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (221 221
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (221 221
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (221
     221
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (221 221
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (221 221
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (221 221
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (221 221
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (216 36
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (186 186
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (180 36
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (159 159
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (94 94
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (83 83
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (77 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (57 19 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (56 56
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (56 56
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (50 50
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (50 50
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (39 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (37 37
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (37 37
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (37 37
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (19 19
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (19 19
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (19 19
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (19 19
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (19 19 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (19 19
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (19 19
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (19 19
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (19 19
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (18
    18
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (18
   18
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (18
    18
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (15 15
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (15 15
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (15 15
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (15 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR
 (5402 143
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (5088 143
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1068 143
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (860 143
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (550 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (341 341
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (331 13
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (287 257
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (276 276
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (276 276
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (266 266 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (266 266
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (266 266
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (260 10 (:REWRITE MILAWA::|(< 1 (len x))|))
 (257 257
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (247 237
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (193 193
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (143 143
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (143 143
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (143 143
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (143 143
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (143 143
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (143 143
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (143 143
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (134
    134
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (134 134
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (134 134
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (134
     134
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (134 134
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (134 134
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (134 134
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (134 134
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (111 6 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (53 53
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (48 12
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (38 38
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (36 36
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (30 10 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (28 28
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (25 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (24 24
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (13 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (13 13 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (12 12
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (12 12
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 12
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (10 10
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 10
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR
 (668 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (622 20
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (141 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (121 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (113 113
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (108 108
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (79 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (78 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (67 4 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (41 35
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (39 39
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (39 39
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (38 38 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (38 38 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (38 38
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (37
    37
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (37 37
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (37 37
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (37 37
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (35 35
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (20 20
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (20 20
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 18
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR
 (2004 60
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1866 60
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (423 60
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (363 60
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (221 221
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (220 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (199 199
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (178 10
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (117 117
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (117 117
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (114 114 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (114 114
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (114 114
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (113 101
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (101 101
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (101 101
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (73
    73
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (73 73
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (73 73
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (73 73
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (73 73
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (73 73
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (73 73
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (73 73
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (60 60
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (60 60
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (42 42
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR
 (724 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (676 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (161 161
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (147 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (144 144
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (127 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (107 43
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (79 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (68 5 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (64 42
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (58 38
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (49
    49
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (49 49
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (49 49
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (49 49
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (47 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (43 43
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (41 41
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (41 41
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 40 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (40 40 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (40 40
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 9
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP
 (112915 2989
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (106461 2960
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (36978 2124
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (19971 2989
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (19130 7894
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (17794 2989
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (14653 781
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (13979 416
        (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (9128 7388
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (7910 7910
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7894 7894
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (7890 7890
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (7890 7890
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (7890 7890
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (7890 7890
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (7784 7784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (7784 7784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (5782 5782
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (5782 5782
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (5676 5676 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (5676 5676
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (5676 5676
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (3684 3684
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3145 85
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (2989 2989
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2989 2989
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2989 2989
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (2989 2989
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2989 2989
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2989 2989
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2960 2960
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2890 85
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (2756 106 (:REWRITE MILAWA::|(< 1 (len x))|))
 (2124 2124
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2124 2124
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2124 2124
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1948 90
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (1697
    1697
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1608
    1608
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (1608 1608
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (1608
      1608
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1608
     1608
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1608 1608
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (1608 1608
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (1608 1608
       (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (1608
      1608
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1312
     16
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1114 1114
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1114 1114
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1114 1114
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1088 272
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (968 968
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (781 781
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (553 553
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (544 272
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (544 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (544 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (518 518
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (450 90
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (437 437
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (437 437
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (416 416 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (365 365
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (365 365
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (365 365
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (365 365
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (360 90
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (352 16
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (348 348
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (348 348
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (348 348
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (348 348
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (348 348 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (329 329
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (318 106
      (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (294 294
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (294 294
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (294 294
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (272 272
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (272
     272
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (272 272
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (272 272
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (272 272
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (272
     272
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (272 272
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (272 272
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (252 252
      (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (220
   220
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (220 220
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (164 164
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (121 121
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (112 112
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (106 106
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (106 106
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (96 16
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (95 95
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (95 95
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (94 94
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (91 91
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (91 91
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (90 90
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (90 90
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (64 16
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (41 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (39 39
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (39 39
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (18
    18
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (17 17 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP
 (1056 33
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (979 33
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (504 32
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (484 22 (:DEFINITION NOT))
 (312 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (220 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (202 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (177 84
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (105 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (99 84
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (94 79
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (84 84
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (65 65
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (65 65
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (43 43
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33 33
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (22
    22
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (2020 64
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1870 64
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1008 64
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (924 42 (:DEFINITION NOT))
 (624 30
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (428 64
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (392 64
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (346 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (194 164
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (184 154
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (164 164
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (124 124 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (124 124
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (124 124
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (86 86
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (64 64
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (64 64
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (64 64
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (64 64
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (64 64
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (64 64
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (64 64
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (44
    44
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30 30
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (28 28
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP
 (1200 62
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1102 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1023 34
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (588 39
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (428 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (253
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (220 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (202 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (163 163
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (136 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (88 1
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (86
    30
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (65 65
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (65 65
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (44
    44
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (39 39
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 34
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 23
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP
 (1112 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1033 34
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (595 36
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (391 30
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (279 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (253
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (226 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (208 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (126 126
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (103 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (95 85
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (73 73
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (67 67
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (67 67
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (66 66 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (66 66 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (66 66
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (41
    41
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (36 36
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (36 36
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36 11
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34
    28
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (28 28
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (28 28
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (28
  28
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (28
  28
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (28
    28
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (28
  28
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (28
  28
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (28
  28
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (28
  28
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (28
  28
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (28
    28
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (28
  28
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (28
    28
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (28 28
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (28
  28
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (28
  28
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (28
    28
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (28
   28
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (28
  28
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (28
   28
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (28 28
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP
 (1112 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1033 34
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (648 42
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (415 32
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (298 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (253
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (226 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (208 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (131 131
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (122 92
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (121 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (73 73
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (67 67
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (67 67
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (66 66 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (66 66 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (66 66
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (43 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (42 42
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (42 42
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (42 42
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (42
    30
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (42 2
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (41
    41
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.~ARG))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VLHS))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-HIGH
 (8696 242
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (8154 242
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1767 242
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1459 242
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (865 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (469 469
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (469 469
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (454 454 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (454 454
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (454 454
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (440 410
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (410 410
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (410 410
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (397 397
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (395 395
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (395 395
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (390 15
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (390 15 (:REWRITE MILAWA::|(< 1 (len x))|))
 (380 380
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (264 12
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (242 242
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (242 242
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (242 242
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (242 242
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (242 242
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (242 242
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (242 242
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (225 15
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (195 15
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (180 30
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (154
    154
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (154 154
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (154 154
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (154
     154
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (154 154
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (154 154
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (154 154
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (154 154
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (150 30
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (109 109
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (92 92
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (75 75
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (61 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (58 58
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (45 15 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (44 44
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (44 44
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (42 42
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (31 31
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (31 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (30
  30
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (30
  30
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (15
    15
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (15
   15
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (15 15 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (15 15
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (15 15
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (15 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::CLAUSE.THEOREM-AUX-SPLIT-NEGATIVE)
(MILAWA::CLAUSE.THEOREM-AUX-SPLIT-NEGATIVE-PROOF)
(MILAWA::LOGIC.FORMULAP-OF-CLAUSE.THEOREM-AUX-SPLIT-NEGATIVE)
(MILAWA::CONCLUSION-OF-CLAUSE.THEOREM-AUX-SPLIT-NEGATIVE-PROOF)
(MILAWA::LOGIC.PROOFP-OF-CLAUSE.THEOREM-AUX-SPLIT-NEGATIVE-PROOF)
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-BLDR
 (19220 1196
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (16129 1122
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (4944 96
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (3445 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2181 248
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1495 248
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1323 1323
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1323 1323
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1323 1323
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1301 1301
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1301 1301
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1196 1196
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1196 1196
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1182 1182
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (1122 1122
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (963 963
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (963 963
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (943 853
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (924 168
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (888 64
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (872 872
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (872 872
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (872 872
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (858 33 (:REWRITE MILAWA::|(< 1 (len x))|))
 (854 854
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (773 773
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (744 40
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (468 468
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (463 463
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (463 463
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (430 430 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (430 430
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (430 430
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (306
     306
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (306 306
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (288 288
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (281 281
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (281 281
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (281 281
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (234 234
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (234 234
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (234 234
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (232 232
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (230 133
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (216 216
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (216 216
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (216
     216
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (216 216
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (215 215
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (196 196
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (177
    177
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (177 177
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (177 177
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (177
     177
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (177 177
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (177 177
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (177 177
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (177 177
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (148 37
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (133 133
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (133 133
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (133
     133
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (133 133
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (129 129
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (129 129
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (129 129
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (123 123
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (123 123
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (123 123
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (123 123
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (123 123
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (119 119
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (99 33 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (97 97
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (96 96 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (90 90 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (90 90
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (90
    90
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (84 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (66 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (62 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (58 58
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (58 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (45 45
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (45 45
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (45 45
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (45
  45
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (40 40
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (40
  40
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (40 40
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (40 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (37 37
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (37 37
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (37 37
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (35 35
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (33 33
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (33 33
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (32 8
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (24 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (22
    22
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (22
   22
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (18 18
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (18 18
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (18 18
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (18 18 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR
 (4570 27
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (3585 330
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2767 273
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1212 27
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (823 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (717 129
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (468 18
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (440 440
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (372 372
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (372 372
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (372 372
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (369 369
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (369 369
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (369 369
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (330 330
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (330 330
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (308 308
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (308 308
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (291 39
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (273 273
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (268 18
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (234 234
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (230 10
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (215 215
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (213 213
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (189 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (184 184
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (184 184
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (153
     153
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (153 153
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (144 144
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (127 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (117 117
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (117 117
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (117 117
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (108 108
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (108 108
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (108
     108
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (108 108
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (69 69
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (69 69
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (69 69
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (48 30
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (46 46
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (39 39
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (39 39
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (31
    31
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (31 31
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (31 31
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (31 31
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30 30
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (24 24
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24
    24
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 18 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (16 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (14 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (12
  12
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR
 (19357 114
        (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (13047 1119
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (10037 1050
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (5091 114
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (3041 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2865 429
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1794 69
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1263 1263
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1263 1263
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1263 1263
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1230 159
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1196 1196
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (1126 76
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1119 1119
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1119 1119
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1093 1093
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1093 1093
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1050 1050
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (966 42
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (938 938
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (938 938
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (938 938
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (841 841
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (738 738
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (696 696
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (696 696
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (585 585
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (494 494
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (378 42
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (323
     323
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (323 323
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (304 304
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (285 285
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (285 285
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (285 285
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (254 42
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (247 247
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (247 247
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (247 247
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (228 228
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (228 228
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (228
     228
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (228 228
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (189 120
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (159 159
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (156 6 (:REWRITE MILAWA::|(< 1 (len x))|))
 (121 121
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (120 120
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (120 120
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (120
     120
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (120 120
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (107 107
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (107 107
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (107 107
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (102 102
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (102 102
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (102 102
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (102
    102
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (79 79
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (72 72 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (72 72 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (72 72
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (69 69 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (69 69
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (62
    62
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (62 62
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (62 62
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (62 62
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (51 51
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (51 51
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (51 51
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (51
  51
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (42
  42
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (42 42
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (40 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (35 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (25 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 5
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (18 6 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (15
    15
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (15
   15
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (6 6
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (6 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR
 (4832 30
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (4040 388
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3109 304
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1452 30
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (980 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (801 150
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (572 572
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (572 25
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (477 477
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (477 477
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (477 477
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (438 438
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (438 438
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (438 438
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (388 388
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (388 388
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (370 370
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (370 370
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (368 368
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (368 368
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (361 42
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (320 20
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (304 304
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (276 12
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (250 250
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (239 239
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (219 219
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (219 219
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (204
     204
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (204 204
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (204 179
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (195 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (192 192
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (158 158
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (158 158
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (158 158
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (144 144
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (144 144
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (144
     144
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (144 144
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (133 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (107 82
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (82 82
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (82 82
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (54 33
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (54 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (52 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (48 48
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (46 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (46 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (41 41
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (41 41
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (39 39
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (38 38 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (38 38 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (38
    38
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (38 38
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (38 38
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (37 37
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (33 33
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (33 33
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (32 32
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (32 32
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 29
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (29 29
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (29 29
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (29 29
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (29 29
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (29 29
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (26 26 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (24 24 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (24 24
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24
    24
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (21 21
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (17 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (15 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (13
  13
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (13
  13
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (12
  12
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 3
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP
 (125276 3212
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (118425 3185
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (50971 2812
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (27401 3212
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (25674 9837
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (19106 3212
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (15378 1092
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (12792 9027
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (10270 395 (:REWRITE MILAWA::|(< 1 (len x))|))
 (9854 9854
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (9837 9837
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (9827 9827
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (9827 9827
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (9827 9827
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (9827 9827
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (9432 9432
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (9432 9432
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (6115 152
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (5941 5941
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (5941 5941
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (5659 152
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (5546 5546 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (5546 5546
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (5546 5546
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (3212 3212
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (3212 3212
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (3212 3212
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (3212 3212
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (3212 3212
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (3212 3212
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (3185 3185
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2812 2812
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2812 2812
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2812 2812
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2812 76
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (2584 76
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (2336 584
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2000 2000
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2000 2000
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2000 2000
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1878 89
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (1825 1825
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1394
     17
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1283
    1283
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (1283 1283
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (1283
      1283
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1283
     1283
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1283 1283
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (1283 1283
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (1283 1283
       (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (1283
      1283
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1185 395
       (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (1168 584
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1092 1092
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (999
    999
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (999 999
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (913 913
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (771 771
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (771 771
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (771 771
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (771 771
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (753 753
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (753 753
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (753 753
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (753 753
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (753 753 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (709 709 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (697 697
      (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (584 584
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (584
     584
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (584 584
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (584 584
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (584 584
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (584
     584
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (584 584
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (584 584
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (578 17
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (578 17
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (554 554
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (554 554
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (554 554
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (505 505
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (445 89
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (434 434
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (434 434
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (395 395
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (395 395
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (395 395
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (374 17
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (356 89
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (346 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (299 299
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (270 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (228 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (204
   204
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (204 204
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (169 169
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (169 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (152
  152
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (152
     152
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (108 108
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (108 108
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (108 108
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (104
     104
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (102 17
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (95 95
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (95 95
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (95 95
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (93 93
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (93 93
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (89 89
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (89 89
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (68 17
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (54 54
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (40 40
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (18 18 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (17 17
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (17 17
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (17 17
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (17 17
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (17 17
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (17 17
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (17 17
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (6
  6
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP
 (1186 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1109 34
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (681 41
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (550 25 (:DEFINITION NOT))
 (337 19
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (291 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (233 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (208 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (141 106
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (133 98
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (106 106
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (60 60 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (60 60 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (60 60
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19 19
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12
    12
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (2280 66
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2130 66
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1362 82
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1056 48 (:DEFINITION NOT))
 (674 38
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (570 66
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (458 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (420 12
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (404 66
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (278 208
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (262 192
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (208 208
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (208 8 (:REWRITE MILAWA::|(< 1 (len x))|))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (124 124
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (124 124
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (116 116 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (116 116
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (116 116
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (82 82
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (82 82
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (82 82
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (66 66
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (66 66
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (66 66
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (66 66
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (66 66
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (66 66
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 46
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (38 38
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24
    24
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (24
    24
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 8 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (8 8 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP
 (1493 79
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1263 45
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1160 42
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (636 45
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (536 199
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (291 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (266 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (254
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (208 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (199 199
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (91
    31
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (88 1
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (79 79
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (79 79
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (79 79
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (60 60 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (60 60 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (60 60
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (47 47
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (47 47
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (47 47
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 46
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (42 42
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (41 41
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (39 39
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (31 31
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (31 31
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (31
   31
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (31
  31
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (31
   31
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (31
    31
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (31
   31
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (31
    31
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (31
  31
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (31
    31
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (31
   31
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (31
   31
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (31
  31
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (31
    31
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (31
  31
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (31
  31
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (31
  31
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (31
  31
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (31
    31
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (31
    31
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (31
    31
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (31
  31
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (31
   31
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (31
    31
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (31 31
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (31
  31
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (31
  31
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (31
    31
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (31
   31
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (31
  31
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (31
   31
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (31
   31
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (31
   31
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (31
   31
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (31
   31
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (31
   31
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (31
   31
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (31
  31
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (31
   31
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (31 31
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (24
    24
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (24
    24
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 23
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (16 16
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (14 14 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP
 (1242 35
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1163 35
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (772 45
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (417 35
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (349 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (297 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (254
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (233 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (214 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (152 152
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (151 151
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (151 151
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (110 100
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (66 66
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (66 66
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (45 45
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (45 45
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (45 45
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (42 17
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (36
    30
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (35 35
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (35 35
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (35 35
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (35 35
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (35 35
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (35 35
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (35 35
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (35 35
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23
    23
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22
    22
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP
 (1242 35
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1163 35
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (825 51
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (441 37
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (377 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (297 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (278 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (254
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (214 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (169 114
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (160 160
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (159 159
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (159 159
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (158 2
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (77 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (66 66
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (50 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (47 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (44
    32
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (37 37
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (37 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (37 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (36 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (35 35
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (35 35
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (35 35
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (35 35
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (35 35
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (35 35
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (35 35
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (32 32
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (32
  32
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (32
  32
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (32
    32
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (32
  32
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (32
  32
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (32
  32
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (32
  32
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (32
  32
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (32
    32
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (32
  32
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (32
    32
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (32 32
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (32
  32
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (32
  32
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (32
    32
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (32
  32
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (32
   32
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (32
  32
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (32
   32
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (32 32
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23
    23
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (22
    22
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.~ARG))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (11 11 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-HIGH
 (10312 331
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (9533 331
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3772
  7
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (3730 82
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2604 9
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (2214 250
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1508 250
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1449 600
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1118 43
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (884 34 (:REWRITE MILAWA::|(< 1 (len x))|))
 (731 59
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (720 9
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (600 600
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (600 600
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (522 522
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (522 522
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (469 469
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (466 466
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (466 466
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (432 432 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (432 432
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (432 432
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (340 340
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (340 340
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (340 340
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (332 19
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (331 331
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (331 331
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (331 331
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (295 295
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (275 34
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (250 61
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (248 19
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (191 34
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (156 6
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (150 150
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (150 150
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (148 148
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (142 70
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (140 140
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (138 36
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (138 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (128
    128
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (128 128
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (128 128
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (128
     128
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (128 128
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (128 128
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (128 128
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (128 128
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (117 117
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (102 34 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (88 45
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (83 83
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (83 83
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (83 83
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (82 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (66 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (59 59
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (59 59
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (59 59
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (54 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (52 52
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (52 52
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (52 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (45 45
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (45 45
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (45 45
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (45 45
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (43 43 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (43 43
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (40 40
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (38 38
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (38 38
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (34 34
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (34 34
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (34
  34
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (34 34
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (34 34
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (34 34
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (34
  34
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (33 33
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (33 33
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (29
    29
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (29
   29
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (27 27
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (27 27
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (25 25
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (19
    19
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 18 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (18
    18
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (9
  9
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR
 (34032 2382
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (27805 2220
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (9531 207
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (6603 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2955 349
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2924 2924
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2630 2630
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2630 2630
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2630 2630
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2463 2463
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2463 2463
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2382 2382
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2382 2382
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2220 2220
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2219 329
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2103 349
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1956 138
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1887 1887
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1887 1887
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1887 1887
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1730 1730
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1730 1730
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1662 78
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (1648 1648
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1625 1625
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1587 1512
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1066 41 (:REWRITE MILAWA::|(< 1 (len x))|))
 (1040 1040
       (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (968 968
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (680
     680
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (680 680
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (657 657
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (657 657
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (640 640
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (616 616 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (616 616
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (616 616
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (559 559
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (559 559
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (559 559
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (520 520
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (520 520
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (520 520
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (480 480
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (480 480
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (480
     480
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (480 480
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (414 252
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (382 382
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (348 348
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (266
    266
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (266 266
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (266 266
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (266
     266
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (266 266
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (266 266
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (266 266
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (266 266
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (252 252
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (252 252
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (252
     252
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (252 252
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (233 233
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (233 233
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (233 233
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (233 233
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (233 233
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (228 228
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (228 228
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (228 228
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (215 215
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (192 192
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (192 192
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (192
    192
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (180 45
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (162 162
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (161 161 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (123 41 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (96 96
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (96 96
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (96 96
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (96
  96
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (84 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (83 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (78
  78
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (78 78
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (73 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (72 72
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (62 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (55 55
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (50 10
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (49 49
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (45 45
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (45 45
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (45 45
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (41 41
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (41 41
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (40 10
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (31 31
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (31
    31
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (31
   31
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (27 27
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (27 27
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (24 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (15 15 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (13
    13
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (9 9
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR
 (6724 39
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (4959 495
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3750 396
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1698 39
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (1181 442
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1039 199
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (794 794
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (624 24
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (595 595
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (595 595
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (595 595
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (549 549
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (549 549
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (549 549
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (495 495
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (495 495
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (442 442
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (442 442
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (435 57
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (396 396
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (390 390
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (376 26
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (322 14
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (318 318
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (312 312
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (255
     255
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (255 255
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (240 240
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (207 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (195 195
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (195 195
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (195 195
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (180 180
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (180 180
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (180
     180
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (180 180
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (145 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (131 131
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (99 99
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (99 99
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (99 99
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (66 42
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (58 58
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (53 53
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (45 45
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (45 45
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (42 42
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (36
    36
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (36 36
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (36
    36
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 24 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (24 24
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (18
  18
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (14
  14
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (14 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR
 (38190 222
        (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (24102 2160
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (18276 2022
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (9702 222
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (5784 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (5546 842
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (3276 126
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (2742 2742
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2454 312
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2412 2412
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2412 2412
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2412 2412
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2160 2160
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2160 2160
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2148 148
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2064 2064
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2064 2064
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2022 2022
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1851 1851
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1851 1851
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1851 1851
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1840 80
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (1644 1644
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1404 1404
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1288 1288
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1288 1288
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1082 1082
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (988 988
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (646
     646
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (646 646
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (608 608
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (552 552
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (552 552
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (552 552
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (520 520
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (494 494
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (494 494
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (494 494
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (456 456
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (456 456
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (456
     456
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (456 456
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (414 48
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (354 228
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (290 48
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (271 271
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (228 228
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (228 228
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (228
     228
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (228 228
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (211 211
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (211 211
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (211 211
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (210 210
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (210 210
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (210 210
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (210 210
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (210 210
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (204 204
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (204 204
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (204 204
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (204
    204
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (182 182
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (156 6 (:REWRITE MILAWA::|(< 1 (len x))|))
 (126 126 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (126 126
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (102 102
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (102 102
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (102 102
      (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (102
  102
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (90 90
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (90 90
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (84 84 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (84 84 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (84 84
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (80
  80
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (80 80
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (78
    78
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (78 78
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (78 78
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (56 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (49 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (35 7
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (28 7
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (25 25
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (21
    21
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (21
   21
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (18 6 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (7
  7
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (7
  7
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (6 6
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (6 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR
 (6986 42
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (5456 577
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (4098 433
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1938 42
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (1362 516
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1135 232
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1014 1014
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (767 767
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (767 767
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (767 767
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (728 31
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (639 639
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (639 639
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (639 639
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (577 577
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (577 577
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (516 516
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (516 516
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (514 514
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (514 514
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (505 60
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (433 433
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (428 28
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (368 16
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (361 361
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (348 348
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (340
     340
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (340 340
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (320 320
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (287 287
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (287 287
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (262 262
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (262 262
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (262 262
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (262 237
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (240 240
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (240 240
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (240
     240
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (240 240
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (213 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (151 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (137 112
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (112 112
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (112 112
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (72 45
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (60 60
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (54 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (52 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (47 47
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (47 47
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (46 46
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (46 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (46 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (45 45
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (45 45
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (45 45
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (44 44 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (44 44 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (44
    44
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (44 44
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (44 44
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (44 44
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (44 44
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (41 41
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (41 41
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (41 41
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (41 41
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (41 41
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (41 41
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (36 36 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (36 36
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (36
    36
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (32 32 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (27 27
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (18
  18
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (17 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (16
  16
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (15 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (13
  13
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (13
  13
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 3
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP
 (188154 4800
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (177920 4759
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (72787 4084
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (39561 4800
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (36574 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (28578 4800
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (23359 1579
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (18287 13277
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (14358 14358
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14339 14339
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (13806 13806
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (13806 13806
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (13598 523 (:REWRITE MILAWA::|(< 1 (len x))|))
 (8957 8957
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (8957 8957
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8434 8434 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8434 8434
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8434 8434
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (8024 199
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (7427 199
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (5983 5983
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4800 4800
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (4800 4800
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (4800 4800
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (4800 4800
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (4800 4800
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (4800 4800
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (4759 4759
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (4084 4084
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4084 4084
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4084 4084
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (4033 109
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (3706 109
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (3068 767
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2632 2632
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2632 2632
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2632 2632
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2604 122
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (2407 2407
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2187
    2187
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (2187 2187
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (2187
      2187
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2187
     2187
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (2187 2187
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (2187 2187
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (2187 2187
       (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (2187
      2187
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1579 1579
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1569 523
       (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (1558
     19
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1534 767
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1412 1412
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1023 1023
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1023 1023
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1023 1023
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1023 1023
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1002 1002
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1002 1002
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1002 1002
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1002 1002
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1002 1002
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (936 936 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (917 917
      (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (767 767
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (767
     767
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (767 767
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (767 767
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (767 767
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (767
     767
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (767 767
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (767 767
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (740 740
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (740 740
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (740 740
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (732 732
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (646 19
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (646 19
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (610 122
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (576 576
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (576 576
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (523 523
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (523 523
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (523 523
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (488 488
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (488 122
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (418 19
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (346 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (326
   326
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (326 326
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (270 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (228 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (223 223
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (199
  199
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (199
     199
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (169 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (156 156
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (142 142
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (141 141
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (141 141
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (137
     137
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (128 128
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (128 128
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (126 126
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (126
     126
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (122 122
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (122
     122
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (114 19
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (76 19
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (70
    70
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (62 62
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (46 46
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (21 21 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (15
    15
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (6
  6
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP)))
(MILAWA::BOOLEANP-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP
 (1332 39
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1243 39
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (749 46
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (616 28 (:DEFINITION NOT))
 (381 21
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (321 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (255 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (238 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (152 117
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (144 109
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (117 117
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (74 74
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (74 74
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 70 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (70 70 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (70 70
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (54 54
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (39 39
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (21 21
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (2572 76
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2398 76
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1498 92
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1188 54 (:DEFINITION NOT))
 (762 42
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (630 76
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (502 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (464 76
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (420 12
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (300 230
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (284 214
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (230 230
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (208 8 (:REWRITE MILAWA::|(< 1 (len x))|))
 (144 144
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (144 144
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (136 136 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (136 136
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (136 136
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (108 108
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (92 92
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (92 92
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (92 92
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (76 76
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (76 76
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (76 76
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (76 76
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (76 76
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (76 76
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (76 76
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (42 42
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 8 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (8 8 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP
 (1655 88
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1409 50
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1294 47
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (726 51
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (592 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (321 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (266 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (255
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (238 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (221 221
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (104
    36
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (98 98
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (88 88
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (88 88
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (88 88
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (88 1
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (74 74
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (74 74
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 70 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (70 70 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (70 70
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (53 53
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (53 53
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (53 53
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 50
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (50 50
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (50 50
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (47 47
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (41 41
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (39 39
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (36 36
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (36 36
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (36
  36
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (36
  36
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (34 34
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (34 34
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP
 (1388 40
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1297 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (840 50
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (463 39
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (379 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (327 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (255
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (244 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (233 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (167 167
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (166 166
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (166 166
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (121 111
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (91 91
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (72 72 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (72 72 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (72 72
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (42 17
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (40 40
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (40 40
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (40
    34
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (39 39
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (34 34
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (34
  34
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (34
  34
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (34
    34
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (34
  34
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (34
  34
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (34
  34
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (34
  34
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (34
  34
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (34
    34
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (34
  34
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (34
    34
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (34
  34
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (34
  34
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP
 (1388 40
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1297 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (893 56
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (487 41
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (407 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (327 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (278 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (255
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (244 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (180 125
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (175 175
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (162 2
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (91 91
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (81 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (72 72 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (72 72 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (72 72
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (50 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (48
    36
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (47 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (41 41
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (41 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (40 40
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (40 40
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (37 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (36 36
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (36 36
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (36
  36
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (36
  36
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (36 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.~ARG))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (11 11 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-HIGH
 (14348 458
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (13272 458
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (5053
  9
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4992 104
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3472 12
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (2982 350
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2110 350
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1946 814
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1404 54
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1092 42 (:REWRITE MILAWA::|(< 1 (len x))|))
 (960 12
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (916 76
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (814 814
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (714 714
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (714 714
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (658 658
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (658 658
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (648 648
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (616 616 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (616 616
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (616 616
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (584 584
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (470 470
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (470 470
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (470 470
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (458 458
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (458 458
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (458 458
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (410 410
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (400 23
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (331 41
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (330 78
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (299 23
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (230 41
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (228 228
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (210 90
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (208 8
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (201 201
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (190
    190
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (190 190
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (190 190
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (190
     190
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (190 190
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (190 190
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (190 190
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (190 190
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (184 8
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (181 181
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (170 44
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (160 160
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (126 42 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (110 56
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (106 106
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (106 106
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (106 106
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (82 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (76 76
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (76 76
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (76 76
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (66 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (56 56
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (56 56
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (56 56
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (56 56
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (56 56
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (54 54 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (54 54
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (54 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (52 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (48 48
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (45 45
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (45 45
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (43 43
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (43 43
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (42 42
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (42 42
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (42 42
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (41
  41
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (41
  41
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (35
    35
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (35
   35
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (30 30
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (24 24
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24
    24
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23
    23
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (12
  12
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1
 (8220 207
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (7775 207
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1725 207
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1243 207
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (884 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (730 26
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (598 23 (:REWRITE MILAWA::|(< 1 (len x))|))
 (559 559
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (473 403
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (403 403
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (403 403
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (391 391
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (391 391
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (390 360
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (380 380
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (380 380
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (368 368 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (368 368
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (368 368
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (251 251
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (207 207
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (207 207
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (207 207
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (207 207
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (207 207
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (207 207
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (207 207
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (148
    148
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (148 148
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (148 148
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (148
     148
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (148 148
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (148 148
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (148 148
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (148 148
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (104 26
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (85 85
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (69 23 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (52 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (44 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (38 38
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (31 31
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (28 28
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (26 26
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (26 26
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (26 26
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (26 26 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (26 26
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (26 26
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (26 26
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (26 26
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (23 23
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (23 23
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (23 23
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 23
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1
 (948 27
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (887 27
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (225 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (210 210
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (173 173
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (163 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (120 51
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (63 51
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (51 51
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (51 51
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (51 51
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (48 48 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (48 48 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (48 48
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (48 48
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (48 48
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (44 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (27 27
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26
    26
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1
 (1308 54
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1269
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1242 16
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1172 54
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (868 3
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (241 89
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (240 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (239 239
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (234 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (225 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (199 199
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (188 20
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (163 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (153 89
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (89 89
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (75 12
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (57 57
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (57 57
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (57 57
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (54 54
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (54 54
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (54 54
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (52 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (51 51
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (51 51
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (51 20
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (49 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (48 48 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (48 48 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (48 48
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (46 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (31 3
     (:REWRITE MILAWA::FORCING-LOGIC.TERMP-OF-LOGIC.=LHS))
 (28 28
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (28 28
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (26
    26
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (25 3
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.~ARG))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (21 21
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (19 6
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.VLHS))
 (18 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (10 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.VRHS))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (9 9
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.CONCLUSION))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3
  3
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1
 (1004 28
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (941 28
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (231 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (210 210
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (173 173
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (169 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (148 59
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (86 58
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (69 49
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (59 59
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (53 53
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (53 53
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (50 50 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (50 50 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (50 50
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (49 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (44 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (37 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (28 28
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26
    26
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP
 (255789 6510
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (241889 6464
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (96130 5480
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (52438 6510
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (47854 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (38842 6510
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (32773 2128
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (23972 17827
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (19154 19154
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19133 19133
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (19123 19123
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (19123 19123
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (19123 19123
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (19123 19123
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (18475 18475
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (18475 18475
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (16848 648 (:REWRITE MILAWA::|(< 1 (len x))|))
 (12238 12238
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (12238 12238
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (11590 11590
        (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (11590 11590
        (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (11590 11590
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (9605 238
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (8891 238
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (7563 7563
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6510 6510
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (6510 6510
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (6510 6510
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (6510 6510
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (6510 6510
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (6510 6510
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (6464 6464
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (5480 5480
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (5480 5480
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (5480 5480
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5106 138
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (4692 138
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (4422 4422
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3939
    3939
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (3740 935
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3242 151
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (3230
    3230
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3230 3230
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3230
      3230
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (3230
     3230
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3230 3230
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3230 3230
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3230 3230
       (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3230
      3230
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3196 3196
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3196 3196
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3196 3196
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2983 2983
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2128 2128
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1944 648
       (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (1870 935
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1722
     21
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1253 1253
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1253 1253
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1253 1253
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1253 1253
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1229 1229
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1229 1229
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1229 1229
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1229 1229
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1229 1229
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1141 1141 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1120 1120
       (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (989 989
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (935 935
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (935
     935
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (935 935
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (935 935
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (935 935
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (935
     935
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (935 935
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (935 935
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (930 930
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (930 930
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (930 930
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (755 151
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (727 727
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (727 727
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (714 21
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (714 21
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (648 648
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (648 648
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (648 648
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (614 614
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (604 151
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (462 21
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (432
   432
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (432 432
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (346 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (270 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (264 264
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (238
  238
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (238
     238
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (228 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (222 222
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (176 176
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (170 170
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (170 170
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (169 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (166
     166
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (157 157
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (157 157
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (155 155
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (155
     155
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (151 151
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (151
     151
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (126 21
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (84 21
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (71 71
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (52 52
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (52 52
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (24 24 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (23 23
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (23
    23
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (21 21
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (21 21
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (21 21
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (21 21
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (21 21
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (21 21
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (21 21
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (6
  6
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP
 (1478 44
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1377 44
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (817 51
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (682 31 (:DEFINITION NOT))
 (425 23
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (351 44
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (277 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (268 44
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (163 128
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (155 120
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (128 128
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (80 80 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (80 80 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (80 80
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (63 63
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (44 44
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (44 44
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (44 44
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (33
    33
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (23 23
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP-OF-LOGIC.APPEAL-IDENTITY
 (2864 86
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2666 86
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1634 102
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1320 60 (:DEFINITION NOT))
 (850 46
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (690 86
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (546 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (524 86
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (420 12
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (322 252
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (306 236
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (252 252
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (244 244
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (244 244
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (208 8 (:REWRITE MILAWA::|(< 1 (len x))|))
 (164 164
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (164 164
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (156 156 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (156 156
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (156 156
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (126 126
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (102 102
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (102 102
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (102 102
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (86 86
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (86 86
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (86 86
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (86 86
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (86 86
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (86 86
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (86 86
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (76 76
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (66
    66
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (46 46
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (36
    36
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26 26
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (24 8 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (8 8 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP
 (1817 97
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1555 55
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1428 52
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (816 57
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (648 243
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (351 44
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (268 44
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (266 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (256
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (244 244
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (244 244
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (244 244
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (244 244
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (243 243
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (243 243
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (123 123
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (117
    41
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (97 97
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (97 97
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (97 97
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (88 1
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (80 80 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (80 80 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (80 80
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (66
    66
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (65 65
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (58 58
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (58 58
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (58 58
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (55 55
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (55 55
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (54 54
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (54 54
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (54 54
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (52 52
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (51 51
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (41 41
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (41 41
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (41
   41
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (41
  41
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (41
   41
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (41
    41
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (41
   41
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (41
    41
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (41
  41
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (41
    41
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (41
   41
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (41
   41
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (41
  41
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (41
    41
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (41
  41
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (41
  41
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (41
  41
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (41
  41
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (41
    41
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (41
    41
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (41
    41
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (41
  41
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (41
   41
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (41
    41
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (41 41
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (41
  41
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (41
  41
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (41
    41
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (41
   41
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (41
  41
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (41
   41
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (41
   41
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (41
   41
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (41
   41
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (41
   41
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (41
   41
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (41
   41
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (41
  41
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (41
   41
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (41 41
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (39 39
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (38 38
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (38 38
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (35
    35
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (35 35
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (18 18 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP
 (1534 45
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1431 45
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (908 55
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (509 43
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (409 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (357 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (274 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (256
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (233 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (183 183
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (183 183
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (183 183
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (183 183
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (182 182
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (132 122
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (115 115
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (86 86
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (86 86
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (82 82 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (82 82 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (82 82
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62
    62
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (55 55
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (55 55
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (55 55
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (45 45
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (45 45
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (45 45
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (45 45
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (45 45
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (44
    38
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (43 43
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (42 17
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (38 38
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (38 38
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (38
   38
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (38
  38
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (38
   38
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (38
    38
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (38
   38
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (38
    38
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (38
  38
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (38
    38
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (38
   38
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (38
   38
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (38
  38
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (38
    38
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (38
  38
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (38
  38
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (38
  38
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (38
  38
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (38
    38
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (38
    38
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (38
    38
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (38
  38
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (38
   38
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (38
    38
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (38 38
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (38
  38
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (38
  38
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (38
    38
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (38
   38
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (38
   38
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (38
   38
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (38
   38
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (38
   38
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (38
   38
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (38
   38
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (38
   38
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (38
  38
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (38
   38
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (38 38
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32
    32
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP
 (1534 45
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1431 45
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (961 61
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (533 45
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (437 190
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (357 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (278 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (274 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (256
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (191 191
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (191 191
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (191 191
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (191 191
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (191 136
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (190 190
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (190 190
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (190 190
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (190 190
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (190 190
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (190 190
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (190 190
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (190 190
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (190 190
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (190 190
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (189 189
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (189 189
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (162 2
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (115 115
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (86 86
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (86 86
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (82 82 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (82 82 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (82 82
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (81 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (62
    62
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (61 61
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (61 61
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (61 61
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (52
    40
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (50 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (47 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (45 45
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (45 45
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (45 45
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (45 45
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (45 45
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (45 45
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (41 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (40 40
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (40 40
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (40
   40
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (40
  40
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (40
   40
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (40
    40
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (40
   40
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (40
    40
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (40
  40
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (40
    40
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (40
   40
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (40
   40
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (40
  40
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (40
    40
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (40
  40
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (40
  40
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (40
  40
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (40
  40
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (40
    40
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (40
    40
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (40
    40
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (40
  40
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (40
   40
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (40
    40
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (40 40
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (40
  40
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (40
  40
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (40
    40
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (40
   40
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (40
  40
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (40
   40
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (40
   40
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (40
   40
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (40
   40
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (40
   40
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (40
   40
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (40
   40
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (40
  40
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (40
   40
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (40 40
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (37 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (36 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32
    32
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.~ARG))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (11 11 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-HIGH
 (18646 577
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (17304 577
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (5069
  9
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (5020 116
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3885 469
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (3472 12
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (2826 469
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (2377 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1638 63
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1326 51 (:REWRITE MILAWA::|(< 1 (len x))|))
 (1016 1016
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1016 1016
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (968 968
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (960 78
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (960 12
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (907 907
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (907 907
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (887 887
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (887 887
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (836 836 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (836 836
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (836 836
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (832 832
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (589 589
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (589 589
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (589 589
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (577 577
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (577 577
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (577 577
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (529 529
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (400 23
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (339 87
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (332 332
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (331 41
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (299 23
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (288 288
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (263
    263
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (263 263
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (263 263
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (263
     263
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (263 263
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (263 263
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (263 263
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (263 263
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (235 99
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (230 41
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (212 212
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (208 8
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (206 53
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (188 188
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (184 8
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (153 51 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (128 65
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (115 115
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (115 115
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (115 115
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (82 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (78 78
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (78 78
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (78 78
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (75 75
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (75 75
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (75 75
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (75 75
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (75 75
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (68 68
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (66 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (65 65
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (65 65
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (65 65
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (65 65
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (63 63 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (63 63
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (56 56
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (56 56
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (54 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (52 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (51 51
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (51 51
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (51 51
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (51 51
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (51 51
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (45 45
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (45 45
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (43 43
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (43 43
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (41
  41
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (41
  41
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (35
    35
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (35
   35
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (30 30
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (24 24
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24
    24
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23
    23
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (12
  12
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 12
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP
 (624 12
      (:REWRITE MILAWA::LOGIC.FUNCTION-NAMEP-WHEN-CONSP))
 (444
  12
  (:REWRITE
       MILAWA::LOGIC.FUNCTION-NAMEP-OF-CAR-WHEN-LOGIC.FUNCTION-SYMBOL-LISTP))
 (408 12
      (:REWRITE MILAWA::LOGIC.FUNCTION-SYMBOL-LISTP-WHEN-NOT-CONSP))
 (408
  12
  (:REWRITE
   MILAWA::LOGIC.FUNCTION-NAMEP-OF-CAR-WHEN-LOGIC.TERMP-AND-NOT-LOGIC.VARIABLEP))
 (300 12
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (265 13
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (264 12
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (264 12
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (259 89
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (209 89
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (145 75
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (113 113
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (101 16
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (101 16
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (72
   12
   (:REWRITE MILAWA::LOGIC.FUNCTION-NAMEP-WHEN-LOOKUP-IN-LOGIC.ARITY-TABLEP))
 (64 16
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (60 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (60
  12
  (:REWRITE
     MILAWA::LOGIC.FUNCTION-NAMEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (52 2
     (:REWRITE MILAWA::CONS-OF-CAR-AND-CDR))
 (48 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (39 39
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (39 39
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (39 39
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (32 32 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (32 32
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (32 32
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (32 32 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (32 32
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (27 27
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (27 27
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (16 16
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (16 16
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (16 16
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (16 16
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (16 16
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (15 15
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FUNCTION-SYMBOL-LISTP-OF-SUBSETP-WHEN-LOGIC.FUNCTION-SYMBOL-LISTP-ALT))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FUNCTION-SYMBOL-LISTP-OF-SUBSETP-WHEN-LOGIC.FUNCTION-SYMBOL-LISTP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FUNCTION-NAMEP-WHEN-MEMBERP-OF-LOGIC.FUNCTION-SYMBOL-LISTP-ALT))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FUNCTION-NAMEP-WHEN-MEMBERP-OF-LOGIC.FUNCTION-SYMBOL-LISTP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::EQUAL-OF-ONE-TUPLES
     (596 23
          (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (539 23
          (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (374 22
          (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (368 22
          (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (288 12
          (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
     (286 11 (:REWRITE MILAWA::|(< 1 (len x))|))
     (273 13
          (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
     (223 74
          (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (137 22
          (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (90 35
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (74 74
         (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (74 74
         (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
     (63 63
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (63 63
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (33 33
         (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (33 33
         (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (33 11 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
     (25 25
         (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
     (25 25
         (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
     (25 25
         (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
     (23 23
         (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (23 23
         (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
     (23 23
         (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
     (23 23
         (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
     (23 23
         (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
     (23 23
         (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
     (22 22
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (22 22
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
     (22 22
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
     (22 22 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (22 22 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (22 22
         (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (21 21
         (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
     (16 12
         (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
     (13 13
         (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
     (13 13
         (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
     (13 13 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (13 13
         (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
     (13 13
         (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
     (13 13
         (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
     (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
     (11 11
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
     (11 11
         (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (11 11
         (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (11 11
         (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (11 11
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (11 11
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (11 11
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (11 11
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (11 11
         (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (10 10
         (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::EQUAL-OF-LOGIC.FUNCTION-ARGS-AND-LOGIC.FUNCTION-ARGS-WHEN-ONE-TUPLES
     (44 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
     (13 2
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (13 2
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (8 2
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (4 4 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (4 4
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (4 4
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (4 4 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (4 4
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (4 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (2 2
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (2 2
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
     (2 2
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (2 2
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (2 2
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
     (2 2
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
     (2 2
        (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (2 2
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
     (2 2
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
     (2 2
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
     (2 2
        (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
     (2 2
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
     (2 2
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
     (2 2
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
     (2 2
        (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2
 (3740 95
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3535 95
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (870 95
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (576 95
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (572 26
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (470 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (382 14
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (364 14 (:REWRITE MILAWA::|(< 1 (len x))|))
 (248 214
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (214 214
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (214 214
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (198 188
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (176 176
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (176 176
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (162 162 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (162 162
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (162 162
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (118 118
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (104 104
      (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (95 95
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (95 95
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (95 95
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (95 95
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (95 95
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (95 95
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (95 95
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (82
    82
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (82 82
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (82 82
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (82 82
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (82 82
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (82 82
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (82 82
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (82 82
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (82 82
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (76 76
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (57 57
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (56 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (55 55
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (42 14 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (29 29
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (28 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (26 26
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (26 26
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (26 26
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (14 14
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (14 14
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (14 14 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (14 14
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (14 14
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-UNDER-IFF
 (9 1
    (:REWRITE MILAWA::FORCING-LOGIC.POR-OF-LOGIC.VLHS-AND-LOGIC.VRHS))
 (5 1
    (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.VLHS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.CONCLUSION)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2
 (844 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (796 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (264 12
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (218 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (134 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (124 56
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (64 56
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (56 56
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (48 48
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (45 45
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26 26
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (26 26
     (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (24 24
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (22
    22
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2
 (844 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (796 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (220 10
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (218 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (134 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (120 54
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (62 54
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (54 54
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (47 47
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (37 37
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (25 25
     (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (23 23
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 20
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (17
    17
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2
 (844 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (796 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (266 14
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (218 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (158 64
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (136 4
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (134 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (96 64
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (86 56
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (68 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (64 64
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (64 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (48 48
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (48 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (25 25
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (24
    24
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 2
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
   2
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2
  2
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP
 (41501 1061
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (39271 1044
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (11952 642
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (7554 1061
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6894 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6231 1061
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (4784 149
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (3327 219
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (3149 2579
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (2809 2809
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2799 2799
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2793 2793
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2793 2793
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2793 2793
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2793 2793
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2730 2730
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2730 2730
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (2005 2005
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2005 2005
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1942 1942 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1942 1942
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1942 1942
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1638 63 (:REWRITE MILAWA::|(< 1 (len x))|))
 (1221 33
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (1122 33
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (1061 1061
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1061 1061
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1061 1061
       (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (1061 1061
       (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (1061 1061
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1061 1061
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1061 1061
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1061 1061
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1044 1044
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (854 41
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (820
     10
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (706 706
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (642 642
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (642 642
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (642 642
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (608
    608
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (608 608
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (608 608
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (608
     608
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (608 608
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (608 608
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (608 608
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (608 608
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (432 432
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (432 432
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (432 432
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (340 10
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (340 10
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (336 336
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (316 79
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (220 10
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (219 219
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (205 41
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (191 191
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (189 63 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (174 174
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (164 41
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (158 79
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (155 155
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (149 149 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (136 136
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (122 122
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (122 122
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (122 122
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (122 122
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (114 114
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (114 114
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (114 114
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (114 114
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (114 114 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (110 110
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (108 108
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (89
    89
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (86 86
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (79 79
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (79 79
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (79 79
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (79 79
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (79 79
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (79 79
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (79
   79
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (79 79
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (79 79
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (79 79
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (66 8
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (63 63
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (63 63
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (63 63
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (63 63
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (60 10
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (49 49
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (49 49
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (49 49
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (47 47
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (43 43
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (40 10
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (32 8
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (10 10
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (10 10
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (8 8 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP
 (760 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (710 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (352 16 (:DEFINITION NOT))
 (316 19
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (175 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (134 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (133 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (123 57
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (105 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (72 57
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (69 54
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (57 57
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 40 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (40 40 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (40 40
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1428 42
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1332 42
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (660 30 (:DEFINITION NOT))
 (632 38
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (338 42
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (268 16
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (254 42
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (238 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (140 110
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (134 104
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (110 110
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (76 76 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (76 76 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (76 76
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (42 42
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (42 42
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (42 42
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (42 42
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (42 42
     (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (42 42
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (42 42
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (42 42
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (42 42
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 16
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP
 (824 41
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (760 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (710 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (318 24
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (304 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (257
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (175 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (133 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (129 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (113 113
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (58
    20
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (40 40 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (40 40 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (40 40
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (26 26
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (26 26
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (26 26
     (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (24 24
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (20 20
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (20
  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (20
  20
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (20
  20
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (20
  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (20
  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (19 19
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (19 19
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (8 8 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP
 (760 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (710 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (429 24
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (257
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (203 88
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (185 17
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (175 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (133 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (129 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (88 88
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (63 58
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 40 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (40 40 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (40 40
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (36 11
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (25
    19
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (19 19
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (19
  19
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (19
  19
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (17 17
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP
 (760 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (710 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (482 30
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (257
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (222 93
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (208 19
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (175 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (147 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (133 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (93 93
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (90 65
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (43 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 40 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (40 40 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (40 40
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
    21
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (21 21
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (21
   21
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (21
  21
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (21
   21
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (21
    21
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (21
   21
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (21
    21
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (21
  21
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (21
    21
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (21
   21
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (21
   21
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (21
  21
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (21
    21
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (21
  21
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (21
  21
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (21
  21
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (21
  21
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (21
    21
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (21
    21
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (21
    21
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (21
  21
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (21
   21
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (21
    21
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (21 21
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (21
  21
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (21
  21
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (21
    21
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (21
   21
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (21
  21
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (21
   21
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (21
   21
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (21
   21
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (21
   21
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (21
   21
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (21
   21
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (21
   21
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (21
  21
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (21
   21
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (21 21
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (19 19
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-HIGH
 (4442 113
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (4198 113
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1064 113
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (686 113
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (538 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (468 18
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (468 18 (:REWRITE MILAWA::|(< 1 (len x))|))
 (352 16
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (278 242
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (242 242
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (224 224
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (224 224
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (208 208
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (208 208
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (190 190 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (190 190
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (190 190
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (113 113
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (113 113
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (113 113
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (113 113
      (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (113 113
      (:REWRITE MILAWA::EQUAL-OF-ONE-TUPLES))
 (113 113
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (113 113
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (113 113
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (113 113
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (76 76
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (72 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (59
    59
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (59 59
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (59 59
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (59 59
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (59 59
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (59 59
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (59 59
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (59 59
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (54 18 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (44 44
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (43 43
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (43 43
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (36 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (18 18
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (18 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (18 18 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (18 18
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (18 18
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 18
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR
 (14239 412
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (13309 409
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3009 357
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2148 357
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1875 816
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1066 41 (:REWRITE MILAWA::|(< 1 (len x))|))
 (816 816
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (816 816
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (773 773
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (740 660
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (739 739
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (739 739
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (673 673
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (673 673
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (632 632 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (632 632
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (632 632
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (446 5
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (417 417
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (417 417
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (417 417
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (412 412
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (412 412
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (409 409
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (376 376
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (284 9
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (282 5
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (258 8
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (256 256
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (224
    224
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (224 224
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (224 224
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (224
     224
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (224 224
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (224 224
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (224 224
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (224 224
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (196 49
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (174 174
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (166 90
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (123 41 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (115
  9
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (112
    3
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-OF-CDR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (109 109
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (102 102
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (102 102
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (102 102
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (100 100
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (96 96
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (96 96
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (96 96
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (90 90
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (81 81
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (81 81
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (81 81
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (78 51
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (72 72
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (72 72
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (63 20 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (61 2
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (54 54 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (52 52
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (52 52
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (52 52
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (52 52
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (51 51
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (51 51
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (51 51
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (49 49
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (49 49
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (49 49
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (41 41
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (41 41
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (23 23
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (23
    23
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (12 12
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR
 (2284 67
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2131 67
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (596 50
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (516 61
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (369 61
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (356 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (241 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (182 7 (:REWRITE MILAWA::|(< 1 (len x))|))
 (171 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (168 168
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (154 154
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (115 115
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (115 115
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (108 108 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (108 108
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (108 108
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (96 9
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (88 88
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (68 68
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (68 68
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (68 68
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (67 67
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (67 67
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (67 67
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (62 62
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (54 54
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (36 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (34
    34
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (21 7 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (19 19
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (10 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (7 7
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (7 7 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR
 (2730 84
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2535 84
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1381 65
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (881 11
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (568 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (538 18
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (516 61
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (369 61
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (265 19
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (233 233
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (233 233
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (186 186
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (182 7 (:REWRITE MILAWA::|(< 1 (len x))|))
 (171 171
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (115 115
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (115 115
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (108 108 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (108 108
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (108 108
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (102 102
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (85 85
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (85 85
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (85 85
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (84 84
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (84 84
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (84 84
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (74 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (71 71
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (66 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (65 65
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (65 65
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (65 65
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (62 62
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (52 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (34 34
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34
    34
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 29
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (21 7 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (20 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (19 19 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (7 7
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (7 7 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR
 (2284 67
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2131 67
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (596 50
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (516 61
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (411 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (369 61
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (267 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (211 17
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (204 6
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (182 7 (:REWRITE MILAWA::|(< 1 (len x))|))
 (168 168
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (168 168
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (155 125
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (115 115
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (115 115
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (108 108 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (108 108
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (108 108
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (96 9
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (88 88
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (75 29
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (68 68
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (68 68
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (68 68
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (67 67
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (67 67
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (67 67
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (62 62
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (54 54
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (46 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (36 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (34
    34
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (34 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (29 29
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (29 29
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (26 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (23 1
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (21 7 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (19 19
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12 2
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (10 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (7 7
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (7 7 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
   2
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP
 (258607 6739
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (244031 6714
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (96785 6382
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (59333 3860
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (52223 6739
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (47328 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (40264 6739
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (31499 907
        (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (22927 18492
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (19986 19986
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19962 19962
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (19934 19934
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (19934 19934
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (19934 19934
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (19934 19934
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (19363 19363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (19363 19363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (14846 571 (:REWRITE MILAWA::|(< 1 (len x))|))
 (12809 12809
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (12809 12809
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (12238 12238
        (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (12238 12238
        (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (12238 12238
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (10447 10447
        (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6739 6739
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (6739 6739
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (6739 6739
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (6739 6739
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (6739 6739
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (6739 6739
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (6714 6714
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (6382 6382
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (6382 6382
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (6382 6382
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5513 149
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (5066 149
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (4673
    4673
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (3860 3860
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3782 182
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (3724
    3724
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3724 3724
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3724
      3724
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (3724
     3724
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3724 3724
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3724 3724
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3724 3724
       (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3724
      3724
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3157 77
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2926 77
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2780 695
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2621 2621
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2468 2468
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2468 2468
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2468 2468
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1968
     24
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1797 1797
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1713 571
       (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (1405 1405
       (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (1390 695
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1195 1195
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1110 1110
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1110 1110
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1110 1110
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1072 182
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (927 927
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (927 927
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (927 927
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (927 927
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (907 907 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (887 887
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (887 887
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (887 887
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (887 887
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (887 887 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (884 182
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (867 867
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (816 24
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (816 24
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (736 736
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (736
    736
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (695 695
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (695
     695
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (695 695
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (695 695
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (695 695
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (695
     695
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (695 695
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (695 695
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (571 571
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (571 571
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (571 571
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (569 569
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (528 24
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (463
   463
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (463 463
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (418 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (306 7
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (257 7
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (246 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (210 210
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (210 210
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (204
     204
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (188 188
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (188
     188
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (183 183
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (183 183
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (182 182
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (182
     182
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (174 174
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (156 6
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (152 8
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (144 24
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (138 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (138 12
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (132 6
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (124 124
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (118 118
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (96 24
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (77
  77
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (77 77
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (54 54
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (54 54
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (40 40 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (34 34
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (24 24
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (24 24
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (24 24
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (24 24
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (24 24
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (24 24
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (24 24
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (24 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (15
    15
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (7
  7
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7
   7
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (7
  7
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP
 (1528 46
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1422 46
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (810 61
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (704 32 (:DEFINITION NOT))
 (682 46
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (363 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (301 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (279 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (175 140
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (165 130
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (140 140
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (84 84 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (84 84 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (84 84
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (69 69
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (61 61
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (61 61
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (61 61
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (33
    33
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19
    19
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 16
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (12
    12
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (2964 90
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2756 90
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1620 122
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1364 92
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1364 62 (:DEFINITION NOT))
 (714 90
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (594 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (546 90
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (420 12
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (346 276
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (326 256
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (276 276
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (276 276
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (268 268
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (268 268
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (208 8 (:REWRITE MILAWA::|(< 1 (len x))|))
 (172 172
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (172 172
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (164 164 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (164 164
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (164 164
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (138 138
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (122 122
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (122 122
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (122 122
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (92 92
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (90 90
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (90 90
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (90 90
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (90 90
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (90 90
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (90 90
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (90 90
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (66
    66
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (54 54
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (38
    38
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (38 38
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (32 32
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (28 28
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (28 28
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24
    24
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 8 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 12
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (8 8 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP
 (2352 126
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1712 134
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1528 46
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1422 46
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (818 310
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (363 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (311 311
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (311 311
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (311 311
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (311 311
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (310 310
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (310 310
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (285 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (279 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (258
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (185 185
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (157
    53
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (134 134
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (130 130
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (126 126
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (126 126
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (126 126
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (86 86
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (86 86
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (86 86
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (84 84 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (84 84 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (84 84
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (66 66
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (66
    66
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (66 66
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (66 66
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (58 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (54 54
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (53 53
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (53 53
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (53
  53
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (53
  53
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (53
    53
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (53
  53
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (53
  53
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (53
  53
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (53
  53
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (53
  53
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (53
    53
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (53
  53
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (53
    53
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (53
  53
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (53
  53
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (52 52
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (52 52
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (52 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 46
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 40
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (38
    38
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (38 38
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (38 38
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (37 37
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (37
    37
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (30 30
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (30 30
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (30 30 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (28 28
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP
 (1528 46
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1422 46
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1071 77
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (861 97
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (494 220
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (363 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (285 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (279 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (258
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (220 220
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (220 220
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (127 127
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (97 97
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (84 84 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (84 84 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (84 84
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (77 77
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (77 77
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (77 77
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (68 22
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (65
    65
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (61
    53
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (55 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (53 53
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (53 53
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (53
  53
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (53
  53
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (53
    53
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (53
  53
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (53
  53
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (53
  53
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (53
  53
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (53
  53
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (53
    53
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (53
  53
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (53
    53
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (53 53
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (53
  53
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (53
  53
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (53
    53
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (53
  53
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (53
   53
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (53
  53
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (53
   53
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (53 53
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (49 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (46 46
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34
    34
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (26
    26
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 2
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
   2
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2
  2
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP
 (1528 46
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1422 46
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1155 86
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (914 103
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (515 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (363 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (330 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (279 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (258
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (226 226
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (185 145
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (127 127
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (103 103
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (86 86
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (86 86
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (86 86
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (84 84 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (84 84 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (84 84
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (75 29
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (68
    54
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (65
    65
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (64 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (58 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (54 54
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (54 54
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (54
   54
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (54
  54
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (54
   54
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (54
    54
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (54
   54
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (54
    54
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (54
  54
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (54
    54
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (54
   54
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (54
   54
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (54
  54
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (54
    54
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (54
  54
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (54
  54
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (54
  54
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (54
  54
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (54
    54
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (54
    54
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (54
    54
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (54
  54
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (54
   54
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (54
    54
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (54 54
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (54
  54
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (54
  54
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (54
    54
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (54
   54
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (54
  54
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (54
   54
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (54
   54
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (54
   54
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (54
   54
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (54
   54
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (54
   54
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (54
   54
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (54
  54
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (54
   54
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (54 54
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (48 48
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (48 48
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (48 48
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34
    34
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (29 29
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (28 28
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (28
    28
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 2
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
   2
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2
  2
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-HIGH
 (20812 562
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (19568 562
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (4761 562
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (3396 562
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (2552 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2190 97
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1898 73
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1690 65 (:REWRITE MILAWA::|(< 1 (len x))|))
 (1153 1153
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1153 1153
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1088 1088
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1088 1088
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1059 1059
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1059 1059
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (996 996
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (994 994 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (994 994
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (994 994
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (981 981
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (617 89
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (562 562
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (562 562
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (562 562
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (562 562
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (562 562
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (562 562
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (562 562
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (316 316
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (296 74
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (295
    295
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (295 295
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (295 295
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (295
     295
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (295 295
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (295 295
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (295 295
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (295 295
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (232 8
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (216 216
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (208 8
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (195 65 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (153 153
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (148 74
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (120 120
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (97 97
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (97 97
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (97 97
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (94 94
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (90 90
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (89 89
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (89 89
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (82 82
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (82 82
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (82 82
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (82 82
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (81 81
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (74 74
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (74 74
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (74 74
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (74 74
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (74 74
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (74 74
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (74 74
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (74 74
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (73 73 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (72 72
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (65 65
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (65 65
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (65 65
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (48 48
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1
 (6544 166
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (6186 166
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1416 166
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (997 166
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (719 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (652 23
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (520 20 (:REWRITE MILAWA::|(< 1 (len x))|))
 (389 325
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (325 325
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (318 288
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (312 312
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (312 312
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (308 308
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (305 305
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (305 305
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (292 292 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (292 292
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (292 292
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (166 166
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (166 166
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (166 166
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (166 166
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (166 166
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (166 166
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (166 166
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (134 134
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (114
    114
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (114 114
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (114 114
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (114
     114
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (114 114
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (114 114
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (114 114
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (114 114
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (92 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (76 76
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (60 20 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (46 46
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (46 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (44 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (24 24
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (23 23
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (23 23
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (23 23
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (23 23
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (23 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (23 23 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (23 23
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (23 23
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (23 23
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (23 23
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (20 20
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (20 20
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (20 20
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (20 20
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1
 (852 24
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (798 24
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (207 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (145 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (112 47
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (80 80
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (59 47
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (47 47
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (45 45
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (45 45
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (44 44
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (44 44
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (44 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (24
    24
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 24
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (24 24
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (24 24
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 22
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1
 (1265
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1238 16
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1212 51
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1083 51
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (868 3
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (240 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (234 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (233 85
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (207 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (188 20
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (149 85
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (145 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (92 92
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (88 88
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (85 85
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (75 12
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (54 54
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (54 54
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (54 54
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (52 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (51 51
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (47 20
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (46 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (45 45
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (45 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 39
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (28 28
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (27 3
     (:REWRITE MILAWA::FORCING-LOGIC.TERMP-OF-LOGIC.=LHS))
 (24
    24
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (21 21
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (21 3
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.~ARG))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (18 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (11 4
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.VLHS))
 (10 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.VRHS))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (9 9
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.CONCLUSION))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3
  3
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1
 (908 25
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (852 25
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (213 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (151 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (140 55
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (82 54
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (80 80
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (65 45
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (55 55
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (49 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (47 47
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (47 47
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (44 44 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (44 44 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (44 44
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (44 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (37 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (24
    24
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP
 (188126 4793
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (177913 4752
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (72714 4074
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (39519 4793
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (36554 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (28540 4793
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (23205 1572
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (18277 13267
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (14348 14348
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14329 14329
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (14319 14319
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (14319 14319
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (14319 14319
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (14319 14319
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (13796 13796
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (13796 13796
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (13598 523 (:REWRITE MILAWA::|(< 1 (len x))|))
 (8943 8943
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (8943 8943
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8420 8420 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8420 8420
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8420 8420
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (8024 199
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (7427 199
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (4793 4793
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (4793 4793
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (4793 4793
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (4793 4793
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (4793 4793
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (4793 4793
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (4752 4752
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (4178 4178
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4074 4074
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4074 4074
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4074 4074
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (4033 109
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (3706 109
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (3211 3211
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3068 767
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2828
    2828
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2632 2632
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2632 2632
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2632 2632
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2604 122
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (2415 2415
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2187
    2187
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (2187 2187
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (2187
      2187
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2187
     2187
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (2187 2187
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (2187 2187
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (2187 2187
       (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (2187
      2187
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1572 1572
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1569 523
       (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (1558
     19
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1534 767
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1023 1023
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1023 1023
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1023 1023
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1023 1023
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1002 1002
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1002 1002
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1002 1002
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1002 1002
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1002 1002
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (936 936 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (917 917
      (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (767 767
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (767
     767
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (767 767
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (767 767
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (767 767
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (767
     767
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (767 767
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (767 767
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (740 740
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (740 740
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (740 740
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (725 725
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (646 19
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (646 19
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (610 122
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (576 576
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (576 576
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (523 523
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (523 523
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (523 523
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (488 488
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (488 122
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (418 19
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (346 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (326
   326
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (326 326
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (270 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (228 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (223 223
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (199
  199
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (199
     199
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (169 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (160 160
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (142 142
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (141 141
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (141 141
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (137
     137
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (128 128
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (128 128
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (126 126
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (126
     126
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (122 122
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (122
     122
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (114 19
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (76 19
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (62 62
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (46 46
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (21 21 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (15
    15
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (6
  6
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP
 (1332 39
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1243 39
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (749 46
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (616 28 (:DEFINITION NOT))
 (381 21
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (321 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (255 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (238 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (152 117
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (144 109
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (117 117
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (74 74
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (74 74
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 70 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (70 70 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (70 70
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (41 41
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (39 39
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28
    28
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (23 23
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (21 21
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP-OF-LOGIC.APPEAL-IDENTITY
 (2572 76
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2398 76
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1498 92
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1188 54 (:DEFINITION NOT))
 (762 42
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (630 76
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (502 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (464 76
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (420 12
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (300 230
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (284 214
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (230 230
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (230 230
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (208 8 (:REWRITE MILAWA::|(< 1 (len x))|))
 (144 144
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (144 144
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (136 136 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (136 136
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (136 136
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (92 92
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (92 92
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (92 92
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (82 82
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (76 76
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (76 76
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (76 76
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (76 76
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (76 76
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (76 76
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (76 76
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (56
    56
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (42 42
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 8 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (8 8 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP
 (1655 88
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1409 50
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1294 47
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (726 51
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (592 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (321 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (266 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (259
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (238 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (221 221
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (221 221
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (104
    36
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (88 88
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (88 88
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (88 88
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (88 1
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (82 82
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (74 74
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (74 74
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 70 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (70 70 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (70 70
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (56
    56
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (53 53
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (53 53
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (53 53
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 50
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (50 50
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (50 50
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (48 48
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (47 47
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (41 41
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (39 39
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (36 36
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (36 36
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (36
  36
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (36
  36
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (34 34
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (34 34
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP
 (1388 40
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1297 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (840 50
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (463 39
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (379 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (327 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (259
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (244 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (233 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (167 167
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (167 167
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (166 166
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (166 166
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (121 111
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (77 77
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (72 72 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (72 72 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (72 72
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (53
    53
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (50 50
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (43 43
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (42 17
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (40 40
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (40 40
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (40
    34
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (39 39
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (34 34
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (34
  34
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (34
  34
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (34
    34
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (34
  34
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (34
  34
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (34
  34
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (34
  34
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (34
  34
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (34
    34
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (34
  34
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (34
    34
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (34 34
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (34
  34
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (34
  34
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (34
    34
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (34
  34
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (34
   34
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (34
  34
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (34
   34
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (34 34
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (17 17
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP
 (1388 40
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1297 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (893 56
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (487 41
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (407 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (327 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (278 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (259
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (244 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (180 125
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (175 175
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (175 175
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (162 2
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (81 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (77 77
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (72 72 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (72 72 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (72 72
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (53
    53
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (50 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (48
    36
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (47 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (43 43
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (41 41
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (41 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (40 40
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (40 40
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (37 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (36 36
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (36 36
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (36
  36
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (36
  36
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (36
  36
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (36
  36
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (36
    36
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (36 36
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (36
  36
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (36
    36
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (36
  36
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (36
   36
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (36
  36
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (36
   36
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (36 36
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (36 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.~ARG))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (16 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (11 11 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-HIGH
 (14348 458
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (13272 458
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (5053
  9
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4992 104
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3472 12
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (2982 350
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2110 350
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1946 814
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1404 54
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1092 42 (:REWRITE MILAWA::|(< 1 (len x))|))
 (960 12
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (916 76
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (814 814
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (814 814
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (714 714
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (714 714
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (658 658
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (658 658
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (648 648
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (616 616 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (616 616
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (616 616
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (579 579
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (470 470
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (470 470
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (470 470
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (458 458
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (458 458
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (458 458
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (410 410
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (400 23
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (331 41
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (330 78
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (299 23
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (230 41
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (228 228
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (210 90
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (208 8
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (206 206
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (190
    190
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (190 190
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (190 190
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (190
     190
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (190 190
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (190 190
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (190 190
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (190 190
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (184 8
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (181 181
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (170 44
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (160 160
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (126 42 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (110 56
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (106 106
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (106 106
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (106 106
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (82 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (76 76
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (76 76
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (76 76
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (66 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (56 56
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (56 56
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (56 56
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (56 56
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (56 56
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (54 54 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (54 54
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (54 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (52 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (48 48
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (45 45
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (45 45
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (43 43
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (43 43
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (42 42
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (42 42
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (42 42
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (41
  41
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (41
  41
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (35
    35
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (35
   35
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (30 30
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (24 24
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24
    24
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23
    23
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (12
  12
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2
 (2052 51
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1943 51
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (519 51
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (309 51
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (278 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (266 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (260 10 (:REWRITE MILAWA::|(< 1 (len x))|))
 (220 10
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (144 118
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (118 118
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (110 100
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (82 82 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (82 82 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (82 82
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (51 51
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (51 51
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (43 43
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (35
    35
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (35 35
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (35 35
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30 10 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (28 28
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (10 10
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 10
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2
 (376 10
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (354 10
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (132 6 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (103 10
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (61 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (58 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (52 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (30 26
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 16 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (16 16 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (16 16
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (10 10
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (10 10
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2
 (752 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (708 20
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (220 10
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (206 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (122 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (112 50
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (58 50
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (50 50
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (32 32 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (32 32 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (32 32
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (20 20
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (19 19
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (18 18
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4 4
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2
 (376 10
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (354 10
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (134 8 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (103 10
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (75 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (61 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (52 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (46 30
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (41 26
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (32 7
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (30 30
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (24 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (16 16 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (16 16 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (16 16
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (10 10
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (10 10
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP
 (30030 762
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (28441 749
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (6980 506
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (5890 762
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (5889 345
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (5516 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (4508 138
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (4462 762
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (2493 1943
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (2179 2179
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2170 2170
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2164 2164
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2164 2164
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2164 2164
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2164 2164
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2096 2096
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2096 2096
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1768 68 (:REWRITE MILAWA::|(< 1 (len x))|))
 (1412 1412
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1412 1412
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1344 1344 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1344 1344
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1344 1344
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1036 28
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (952 28
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (762 762
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (762 762
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (762 762
      (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (762 762
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (762 762
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (762 762
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (762 762
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (749 749
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (744 36
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (738
     9
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (506 506
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (506 506
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (506 506
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (392 392
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (392 392
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (392 392
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (380
    380
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (380 380
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (380 380
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (380
     380
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (380 380
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (380 380
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (380 380
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (380 380
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (345 345
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (336 84
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (306 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (306 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (235 235
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (218 218
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (204 68 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (198 9
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (196 196
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (180 36
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (168 84
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (144 36
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (139 139
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (139 139
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (139 139
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (138 138 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (123 123
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (123 123
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (123 123
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (123 123
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (110 110
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (110 110
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (110 110
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (110 110
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (110 110 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (105 105
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (105 105
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (102 102
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (84 84
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (84 84
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (84 84
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (84 84
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (84 84
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (84 84
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (84 84
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (84 84
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (77 77
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (71
   71
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (71 71
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (70 70
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (68 68
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (68 68
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (68 68
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (68 68
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (66 8
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (54 9
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (44 44
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (38 38
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (37 37
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (36 36
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (36 9
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (32 8
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP
 (664 19
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (621 19
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (308 14 (:DEFINITION NOT))
 (209 17
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (200 11
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (157 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (115 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (111 51
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (105 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (66 51
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (63 48
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (51 51
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (19 19
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (17 17
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (17 17
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (17 17
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (11 11
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1236 36
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1154 36
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (572 26 (:DEFINITION NOT))
 (418 34
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (400 22
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (302 36
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (218 36
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (214 98
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (128 98
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (122 92
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (98 98
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (68 68
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (68 68
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (36 36
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (36 36
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP
 (701 38
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (664 19
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (621 19
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (430 31
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (287 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (260
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (157 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (129 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (115 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (106 106
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (54
    18
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31 31
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP
 (664 19
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (621 19
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (322 22
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (260
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (254 23
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (189 81
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (157 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (129 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (115 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (81 81
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (57 52
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 11
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (24
    18
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (23 23
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (19 19
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP
 (664 19
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (621 19
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (375 28
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (277 25
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (260
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (208 86
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (157 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (147 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (115 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (86 86
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (84 59
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (43 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32
    20
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (20 20
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (20
  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (20
  20
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (20
  20
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (20
  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (20
  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (19 19
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-HIGH
 (3130 79
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2960 79
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (816 79
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (480 79
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (416 16
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (416 16 (:REWRITE MILAWA::|(< 1 (len x))|))
 (404 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (264 12
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (210 178
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (178 178
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (142 142
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (142 142
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (126 126 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (126 126
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (79 79
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (79 79
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (79 79
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (79 79
     (:REWRITE MILAWA::EQUAL-WHEN-LOGIC.FUNCTIONP-AND-LOGIC.FUNCTIONP))
 (79 79
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (79 79
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (79 79
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (79 79
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (64 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (48 48
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (48 16 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (43 43
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (35
    35
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (35 35
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (35 35
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (32 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (29 29
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (25 25
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (16 16
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (16 16
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (16 16 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 16
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (16 16
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (16 16
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16 16
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 12
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR
 (11979 351
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (11184 348
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2628 304
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1830 304
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1631 700
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (988 38 (:REWRITE MILAWA::|(< 1 (len x))|))
 (700 700
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (700 700
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (633 563
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (630 630
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (630 630
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (570 570
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (570 570
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (532 532 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (532 532
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (532 532
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (514 514
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (446 5
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (356 356
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (356 356
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (356 356
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (351 351
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (351 351
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (348 348
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (322 322
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (184 46
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (183 183
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (181
    181
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (181 181
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (181 181
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (181
     181
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (181 181
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (181 181
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (181 181
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (181 181
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (171
  7
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (170 5
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (162 162
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (152 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (148 80
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (114 38 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (96 96
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (93 93
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (93 93
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (93 93
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (86 86
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (85 85
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (79 79
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (77 77
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (77 77
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (77 77
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (66 66
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (49 49
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (49 49
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (49 49 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (49 49
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (46 46
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (46 46
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (46 46
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (38 38
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (38 38
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (38
    1
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-OF-CDR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (18
    18
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15 15 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR
 (2046 60
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1909 60
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (570 45
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (486 56
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (339 56
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (330 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (208 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (182 7 (:REWRITE MILAWA::|(< 1 (len x))|))
 (171 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (141 141
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (105 105
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (105 105
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (98 98 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (98 98 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (98 98
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (61 61
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (61 61
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (61 61
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (60 60
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (59 59
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (56 56
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (51 51
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (36 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (29
    29
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (21 7 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (17 17
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (10 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (7 7 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR
 (2062 64
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1913 64
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1194 53
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (486 56
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (424 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (339 56
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (218 17
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (208 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (182 7 (:REWRITE MILAWA::|(< 1 (len x))|))
 (179 179
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (109 109
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (105 105
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (105 105
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (98 98 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (98 98 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (98 98
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (74 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (66 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (65 65
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (65 65
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (65 65
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (64 64
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (64 64
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (64 64
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (63 63
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (56 56
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (56 56
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (52 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (29
    29
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (22 22
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (21 21
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (21 7 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (20 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (7 7 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR
 (2046 60
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1909 60
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (570 45
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (486 56
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (385 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (339 56
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (234 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (211 17
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (204 6
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (182 7 (:REWRITE MILAWA::|(< 1 (len x))|))
 (155 155
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (144 114
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (105 105
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (105 105
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (98 98 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (98 98 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (98 98
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (75 29
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (61 61
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (61 61
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (61 61
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (60 60
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (59 59
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (56 56
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (51 51
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (46 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (36 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (34 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (29
    29
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (29 29
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (26 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (23 1
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (21 7 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (17 17
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 2
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (10 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (7 7 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
   2
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP
 (191011 5005
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (180170 4988
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (74451 4867
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (45473 3008
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (39696 5005
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (36328 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (29891 5005
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (25734 743
        (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (17490 13890
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (15141 15141
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15119 15119
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (15091 15091
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (15091 15091
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (15091 15091
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (15091 15091
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (14623 14623
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (14623 14623
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (12168 468 (:REWRITE MILAWA::|(< 1 (len x))|))
 (9464 9464
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (9464 9464
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8996 8996 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8996 8996
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8996 8996
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (5773 5773
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5005 5005
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (5005 5005
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (5005 5005
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (5005 5005
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (5005 5005
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (5005 5005
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (4988 4988
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (4867 4867
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4867 4867
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4867 4867
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (4440 120
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (4080 120
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (3484
    3484
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (3144 153
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (3008 3008
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2599
    2599
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (2599 2599
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (2599
      2599
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2599
     2599
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (2599 2599
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (2599 2599
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (2599 2599
       (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (2599
      2599
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2460 60
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2284 571
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2280 60
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2030 2030
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2030 2030
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2030 2030
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1804
     22
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1659 1659
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1471 1471
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1404 468
       (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (1142 1142
       (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (1142 571
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (927 153
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (920 920
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (920 920
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (920 920
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (914 914
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (768 153
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (757 757
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (757 757
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (757 757
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (757 757
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (748 22
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (748 22
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (743 743 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (720 720
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (720 720
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (720 720
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (720 720
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (720 720 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (716 716
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (591 591
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (591
    591
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (571 571
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (571
     571
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (571 571
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (571 571
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (571 571
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (571
     571
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (571 571
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (571 571
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (484 22
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (468 468
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (468 468
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (468 468
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (430 430
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (418 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (357
   357
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (357 357
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (306 7
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (257 7
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (246 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (181 181
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (181 181
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (175
     175
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (159 159
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (159
     159
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (156 6
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (154 154
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (154 154
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (153 153
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (153
     153
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (152 8
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (138 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (138 12
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (137 137
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (132 22
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (132 6
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (107 107
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (89 89
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (88 22
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (60
  60
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (60 60
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (48 48
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (37 37 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (31 31
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (24 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (22 22
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (22 22
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (22 22
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (22 22
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (22 22
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (22 22
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (22 22
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (15
    15
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (7
  7
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7
   7
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (7
  7
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP
 (1382 41
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1288 41
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (742 56
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (638 44
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (638 29 (:DEFINITION NOT))
 (333 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (279 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (249 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (164 129
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (154 119
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (129 129
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (74 74 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (74 74 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (74 74
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (44 44
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (44 44
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (41 41
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (41 41
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (41 41
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (41 41
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (41 41
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (41 41
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (28
    28
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16
    16
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (12
    12
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (2672 80
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2488 80
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1484 112
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1276 88
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1232 56 (:DEFINITION NOT))
 (654 80
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (550 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (486 80
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (420 12
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (324 254
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (304 234
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (254 254
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (246 246
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (246 246
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (208 8 (:REWRITE MILAWA::|(< 1 (len x))|))
 (152 152
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (152 152
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (144 144 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (144 144
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (144 144
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (112 112
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (112 112
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (112 112
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (88 88
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (88 88
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (80 80
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (80 80
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (80 80
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (80 80
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (80 80
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (80 80
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (80 80
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (56
    56
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (32
    32
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (24 24
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24
    24
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 8 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 12
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (8 8 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP
 (2190 117
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1622 128
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1382 41
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1288 41
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (762 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (333 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (289 289
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (289 289
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (289 289
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (289 289
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (288 288
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (285 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (261
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (249 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (237 237
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (237 237
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (144
    48
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (128 128
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (117 117
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (117 117
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (117 117
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (85 85
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (82 82
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (74 74 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (74 74 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (74 74
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62 62
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (62 62
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (62 62
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (58 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (56
    56
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (52 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (48 48
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (48 48
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (48 48
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (48 48
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (48
   48
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (48
  48
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (48
   48
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (48
    48
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (48
   48
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (48
    48
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (48
  48
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (48
    48
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (48
   48
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (48
   48
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (48
  48
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (48
    48
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (48
  48
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (48
  48
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (48
  48
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (48
  48
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (48
    48
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (48
    48
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (48
    48
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (48
  48
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (48
   48
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (48
    48
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (48 48
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (48
  48
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (48
  48
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (48
    48
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (48
   48
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (48
  48
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (48
   48
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (48
   48
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (48
   48
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (48
   48
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (48
   48
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (48
   48
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (48
   48
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (48
  48
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (48
   48
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (48 48
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (41 41
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (41 41
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (41 41
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (41 41
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (37 37
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (37
    37
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32
    32
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (28 28 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (28 28
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP
 (1382 41
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1288 41
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1003 72
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (815 93
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (464 205
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (333 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (285 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (261
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (249 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (205 205
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (205 205
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (93 93
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (84 84
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (74 74 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (74 74 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (74 74
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (72 72
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (72 72
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (72 72
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (68 22
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (57
    49
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (56
    56
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (55 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (49 49
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (49 49
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (49
   49
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (49
  49
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (49
   49
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (49
    49
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (49
   49
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (49
    49
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (49
  49
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (49
    49
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (49
   49
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (49
   49
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (49
  49
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (49
    49
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (49
  49
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (49
  49
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (49
  49
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (49
  49
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (49
    49
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (49
    49
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (49
    49
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (49
  49
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (49
   49
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (49
    49
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (49 49
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (49
  49
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (49
  49
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (49
    49
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (49
   49
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (49
  49
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (49
   49
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (49
   49
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (49
   49
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (49
   49
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (49
   49
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (49
   49
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (49
   49
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (49
  49
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (49
   49
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (49 49
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (49 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (46 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (45 45
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (45 45
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (41 41
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (41 41
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (41 41
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (41 41
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (41 41
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (41 41
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (41 41
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (29
    29
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (26
    26
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 2
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
   2
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2
  2
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP
 (1382 41
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1288 41
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1087 81
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (868 99
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (485 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (333 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (330 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (261
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (249 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (212 212
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (212 212
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (212 212
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (212 212
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (211 211
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (174 134
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (99 99
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (84 84
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (81 81
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (81 81
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (81 81
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (75 29
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (74 74 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (74 74 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (74 74
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (64
    50
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (64 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (58 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (56
    56
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (50 50
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (50 50
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (50
   50
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (50
  50
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (50
   50
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (50
    50
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (50
   50
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (50
    50
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (50
  50
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (50
    50
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (50
   50
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (50
   50
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (50
  50
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (50
    50
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (50
  50
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (50
  50
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (50
  50
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (50
  50
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (50
    50
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (50
    50
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (50
    50
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (50
  50
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (50
   50
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (50
    50
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (50 50
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (50
  50
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (50
  50
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (50
    50
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (50
   50
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (50
  50
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (50
   50
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (50
   50
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (50
   50
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (50
   50
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (50
   50
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (50
   50
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (50
   50
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (50
  50
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (50
   50
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (50 50
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (46 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (41 41
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (41 41
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (41 41
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (41 41
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (41 41
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (41 41
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (41 41
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (29
    29
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (29 29
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (28
    28
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 2
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
   2
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2
  2
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-HIGH
 (15908 428
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (14962 428
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3720 428
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2586 428
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1979 889
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1648 73
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1560 60
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1404 54 (:REWRITE MILAWA::|(< 1 (len x))|))
 (889 889
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (835 835
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (835 835
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (802 802
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (802 802
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (749 749
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (748 748 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (748 748
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (748 748
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (598 598
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (468 72
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (428 428
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (428 428
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (428 428
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (428 428
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (428 428
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (428 428
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (428 428
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (244 61
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (217
    217
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (217 217
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (217 217
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (217
     217
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (217 217
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (217 217
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (217 217
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (217 217
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (200 200
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (178 178
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (174 6
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (162 54 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (156 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (123 123
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (122 61
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (90 90
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (78 78
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (78 78
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (73 73
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (73 73
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (73 73
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (72 72
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (72 72
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (72 72
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (72 72
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (67 67
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (67 67
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (67 67
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (67 67
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (65 65
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (61 61
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (61 61
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (61 61
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (61 61
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (61 61
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (61 61
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (61 61
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (61 61
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (60 60 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (60 60
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (54 54
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (54 54
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (54 54
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (36 36
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR
 (6210 6210
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4460 128
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (4253 4253
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4170 128
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (768 128
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (768 128
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (507
    507
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (507 507
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (507 507
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (507
     507
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (507 507
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (507 507
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (507 507
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (507 507
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (376 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (256 256 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (256 256
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (256 256
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (256 256
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (256 256
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (223 223
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (188 188
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (128 128
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (128 128
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (128 128
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (128 128
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (128 128
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (128 128
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (128 128
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (85 85
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (69 69
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (43 43
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (34 34
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-UNDER-IFF
    (2 2
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
    (1 1
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR
 (3009 3009
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2078 2078
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (714 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (666 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (168
    168
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (168 168
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (168 168
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (168
     168
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (168 168
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (168 168
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (168 168
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (168 168
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 72
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (60 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (37 37
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR
 (2923 2923
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2020 2020
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (714 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (666 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (155
    155
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (155 155
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (155 155
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (155
     155
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (155 155
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (155 155
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (155 155
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (155 155
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (66 66
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (60 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (37 37
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (35 35
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR
 (3363 3363
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2323 2323
       (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (714 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (666 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (204 6
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (188
    188
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (188 188
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (188 188
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (188
     188
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (188 188
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (188 188
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (188 188
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (188 188
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (111 42
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (102 3
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (90 15
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (87 42
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (84 84
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (78 42
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (66 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (40 40
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (39 3
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (39 3
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (37 37
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 3
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3
  3
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (3
   3
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (3
  3
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (3
  3
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (3 3
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (3 3
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3
  3
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP
 (23118 621
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (21804 605
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (5638 271
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (3606 621
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (3606 621
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (3516 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1708 61
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1529 1329
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1439 1439
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1431 1431
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1194 1194 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1194 1194
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1194 1194
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1194 1194
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1194 1194
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (972 48
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (888 24
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (816 24
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (656
     8
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (621 621
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (621 621
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (621 621
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (621 621
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (621 621
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (621 621
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (605 605
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (533 533
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (528 24
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (393
    393
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (393 393
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (393 393
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (393
     393
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (393 393
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (393 393
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (393 393
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (393 393
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (272 8
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (272 8
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (271 271
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (271 271
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (271 271
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (218 218
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (218 218
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (218 218
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (176 176
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (176 8
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (120 24
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (112 112
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (102 102
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (96 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (71 71
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (71 71
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (61 61 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (61 61
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (48 48
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (48 8
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (47
   47
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (47 47
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (40 40
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (40 40
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (40 40
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (40 40 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (40 40
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (32 8
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (29 29
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (29 29
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (24 24
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (8 8
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP
 (576 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (534 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (264 12 (:DEFINITION NOT))
 (203 11
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (77 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (66 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (42 37
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (41 36
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (37 37
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (35 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (11 11
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (11 11
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (11 11
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1 1
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1060 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (980 34
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (484 22 (:DEFINITION NOT))
 (406 22
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (204 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (204 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (146 70
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (132 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (80 70
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (78 68
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (70 70
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (70 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (68 68 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (68 68
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (68 68
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (68 68 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (68 68
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP
 (576 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (534 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (526 25
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (262
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (196 74
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (181 13
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (74 74
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (40
    14
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (25 25
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (25 25
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (25 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (14 14
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (14
  14
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (14
  14
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (14
    14
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (14
  14
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (14
  14
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (14
  14
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (14
  14
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (14
  14
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (14
    14
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (14
  14
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (14
    14
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (14
  14
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (14
  14
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (13 13
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (13 13
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP
 (576 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (534 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (272 14
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (262
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (131 58
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (114 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (58 58
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (45 40
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 7
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (19
    13
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (14 14
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (13 13
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (13 13
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (13
  13
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (13
    13
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (13
  13
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (13
  13
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (13
  13
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (13
  13
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (13
    13
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (13
    13
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (13
  13
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (13
  13
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (9 9
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP
 (576 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (534 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (325 20
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (262
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (150 63
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (137 11
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (63 63
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (60 45
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (39 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    15
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (25 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (15 15
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (15 15
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (15
   15
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (15
  15
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (15
   15
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (15
    15
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (15
   15
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (15
    15
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (15
  15
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (15
    15
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (15
   15
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (15
   15
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (15
  15
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (15
    15
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (15
  15
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (15
  15
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (15
  15
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (15
  15
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (15
    15
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (15
    15
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (15
    15
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (15
  15
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (15
   15
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (15
    15
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (15
  15
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (15
  15
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (15
    15
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (15
   15
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (15
  15
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (15
   15
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (15
   15
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (15
   15
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (15
   15
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (15
   15
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (15
   15
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (15
   15
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (15
  15
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (15
   15
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (15 15
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (11 11
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-HIGH
 (2368 67
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2217 67
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (402 67
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (402 67
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (200 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (134 134 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (134 134
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (134 134
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (134 134
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (134 134
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (100 100
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (67 67
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (67 67
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (67 67
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (67 67
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (67 67
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (67 67
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (67 67
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (54 54
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (50
    50
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (50 50
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (50 50
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (41 41
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (38 38
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (17 17
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (17 17
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (9 9
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR
 (710 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (665 20
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (120 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (120 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (60 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (40 40 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 40 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (40 40
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26
    26
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (20 20
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (15 15
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR
 (192 6
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (178 6
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (36 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (36 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (16 8
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (12 12 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (12 12 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (12 12
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (6 6
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR
 (192 6
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (178 6
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (36 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (36 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 8
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (12 12 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (12 12 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (12 12
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR
 (192 6
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (178 6
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (36 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (36 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (30 5
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (27 12
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (24 12
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (22 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (12 12 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (12 12
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (12 12
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (5 5
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP
 (13018 358
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (12260 349
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3213 156
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (2140 836
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2068 358
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2068 358
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1176 42
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (913 763
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (843 843
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (836 836
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (686 35
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (684 684 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (684 684
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (684 684
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (684 684
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (684 684
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (592 16
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (574
     7
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (544 16
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (358 358
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (358 358
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (358 358
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (358 358
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (358 358
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (358 358
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (352 16
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (349 349
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (238 7
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (238 7
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (207
    207
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (207 207
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (207 207
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (207
     207
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (207 207
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (207 207
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (207 207
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (207 207
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (156 156
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (156 156
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (156 156
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (156 156
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (156 156
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (156 156
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (154 7
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (130 130
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (80 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (79 79
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (72 72
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (64 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (56 56
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (50 50
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (50 50
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (42 42 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (42 42
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (42 7
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (35 35
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (34 34
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (34 34
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (30 30 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (28 7
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (26
   26
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (25 25
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (7 7
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (7 7
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR)))
(MILAWA::BOOLEANP-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP
 (480 15
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (445 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (220 10 (:DEFINITION NOT))
 (159 9 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (66 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (65 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (36 31
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (35 30
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (35 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (30 30 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (30 30 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (30 30
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1 1
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (868 28
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (802 28
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (396 18 (:DEFINITION NOT))
 (318 18
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (168 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (168 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (132 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (122 58
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (70 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (68 58
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (66 56
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (58 58
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (56 56 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (56 56
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (56 56
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (56 56 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (56 56
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (28 28
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP
 (480 15
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (445 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (435 21
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (263
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (166 62
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (158 11
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (62 62
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (41 41
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (36
    12
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (30 30 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (30 30
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (12 12
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (12 12
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (12 12
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (12
  12
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (12
  12
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP
 (480 15
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (445 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (263
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (228 12
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (117 51
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (114 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (51 51
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (39 34
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 7
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (30 30 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (30 30 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (30 30
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (18
    12
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (12 12
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (12
  12
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (12
  12
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP
 (480 15
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (445 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (281 18
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (263
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (137 11
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (136 56
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (56 56
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (54 39
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (39 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (30 30 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (30 30
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26
    14
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (25 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (14 14
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (14 14
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (14
  14
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
 (14
  14
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (14
    14
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (14
  14
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (14
  14
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (14
  14
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (14
  14
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (14
  14
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (14
    14
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (14
  14
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (14
    14
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (14 14
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (14
  14
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (14
  14
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (14
    14
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (14
  14
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (14
   14
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (14
  14
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (14
   14
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (14 14
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (11 11
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-HIGH
 (1432 43
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1333 43
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (258 43
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (258 43
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (120 60
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (86 86 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (86 86
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (86 86
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (86 86 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (86 86
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (60 60
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (43 43
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (43 43
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (43 43
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (43 43
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (43 43
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (43 43
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (43 43
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (13 13
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE)))
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE)
(MILAWA::CLAUSE.AUX-SPLIT-DOUBLE-NEGATE
 (1696 46
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1601 53
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (720 16
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (676 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (578 241
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (504 244
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (276 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (276 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (261 261
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (242 242
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (164 4
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (160
  4
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (147 147
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (138 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (136 4
      (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (132 2 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (127 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (121 71
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (101 5
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (92 92 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (92 92 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (92 92
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (88 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (81 81
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (81 81
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (81 81
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (71 71
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (71 71
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (61 61
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (61 61
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (61 61
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (61 61
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (61 61
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (61 61
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (61 61
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (61 61
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (61 61 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (60 18
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (53 53
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (52
    52
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (52 52
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (52 52
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (52 52
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (52 52
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (52 52
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (38 38
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (36 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (34 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (32 32
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (32 16
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (29 8
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (22 22
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (20 4
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (20 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (19 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (17 17
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (16 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (8 8
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (4 4
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (4 4
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE
 (696 27
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (634 32
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (225 5
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (218 70
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (208 68
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (205 6
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (179 70
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (164 4
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (162 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (162 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (160
  4
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (136 4
      (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (110 5
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (75 75
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (71 5
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (70 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (48 48
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (45 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (39 39
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (36 36
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (36 36
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (36 36
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (35 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (32 32
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (29 5
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (26 26
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (26 26
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (26 26
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (26 26 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (24 24
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (24 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (20 4
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (19 5
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (17 17
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16
    16
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (10
    10
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (10
   10
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (10 5
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (5 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (4 4
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (4 4
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE
 (1712 71
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1544 82
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (855 19
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (517 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (499 166
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (426 71
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (426 71
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (425 170
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (410 10
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (400
  10
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (340 10
      (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (298 15
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (264 12
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (189 189
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (170 170
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (166 166
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (166 166
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (156 156
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (142 142 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (142 142
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (142 142
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (142 142
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (142 142
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (105 105
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (105 105
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (105 105
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (99 11
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (84 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (83 83
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (83 83
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (83 83
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (82 82
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (77 11
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (76 10
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (71 71
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (71 71
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (71 71
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (70 70
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (70
  70
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (65 11
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (60 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (60 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (59 59
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (59 59
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (59 59
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (59 59
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (59 59
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (59 59
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (59 59
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (59 59
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (59 59 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (57 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (50 10
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (48 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (47 47
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (46
    46
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (46 46
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (46 46
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (46 46
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (46 46
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (46 46
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (46 46
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (44 11
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (43 11
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (40 40
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (40 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (38 19
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (34 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (32 32
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (22
  22
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (22
    22
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (22
   22
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 20 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (19 19 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (15
  15
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (12
   12
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE
 (2396 326
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2093 107
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2070 90
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (1380 51
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1282 44
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1170 90
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (1170 90
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (1020 306
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (540 90
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (420 24
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (366 51
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (352 112
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (326 326
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (326 326
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (311 311
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (304 304
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (304 304
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (303 114
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (294 294
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (294 294
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (272 8
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (246 51
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (225 5
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (205 6
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (164 4
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (160
  4
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (150 6 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (136 4
      (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (115 115
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (110 5
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (90
  90
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (90 90
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (90 90
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (90 90
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (90 90
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (90 90
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (90 90
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (90
   90
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (90
  90
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (90 90
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (90 90
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (90 90
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (90
  90
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (90 90
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (90 90
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (90 90
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (90 90
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (90 90
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (90 90
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (90 90
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (90
  90
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (90 90
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (90
  90
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (90
  90
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (90
  90
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (72 12
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (71 5
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (70 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (66 66 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (66 66 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (66 66
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (63 63
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (63 63
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (63 63
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (48 48
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (46 46 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (45 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (44 44
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (35 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (29 5
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (28 28
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (24 24
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (24
  24
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (24 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (24 6
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (20 4
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (19 5
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (18 18
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (18 18
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (18 6 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (17 17
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (16 16
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (16 16
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (16
    16
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (10
    10
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (10
   10
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (10 5
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATED-IF)
(MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP
     (230 5
          (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (220 5
          (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (94 24
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (84 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (77 24
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (30 5
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (29 29
         (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
     (22 5
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (12 12
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (12 12
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (12 12
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
     (12 12
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
     (12 12
         (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (12 12
         (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (12 12
         (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
     (12 12
         (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
     (12 12 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (12 12
         (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
     (12 12
         (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
     (12 12
         (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
     (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
     (12 4 (:REWRITE MILAWA::|(< 1 (len x))|))
     (10 10
         (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (10 5
         (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
     (6 6
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (6 6
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
     (5 5
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (5 5
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
     (5 5
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
     (5 5
        (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (5 5
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
     (5 5
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
     (5 5
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
     (4 4
        (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
     (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
     (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (2 2
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATED-IF
 (55049 4654
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (52151 2054
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (33596 1478 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (20777 1144 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (19451 6784
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (16264 3311
        (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (15608 1813
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (13891 6215
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (13031 627
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (12274 1968
        (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (11080 1604
        (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (10740 1711
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (10400 1711
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (8910 3837
       (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (7126 4280
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (6922 6922
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (6784 6784
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6780 6780
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (6780 6780
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (6780 6780
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (6780 6780
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (6780 6780
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (6215 6215
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6215 6215
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6210 138
       (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (6182 1109
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5955 744
       (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (5531 5531
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (5531 5531
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (4654 4654
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (4571 744
       (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4524 4524
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (3846 3846
       (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (3837 3837
       (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (3837 3837
       (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (3410 3410
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (3410 3410
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (3398 3398 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (3398 3398
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (3398 3398
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (3347 3347
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (3311 3311
       (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3311 3311
       (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3310 3310
       (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (3021 3021
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (3021 3021
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (3021 3021
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2691 2691
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (2691 2691
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (2691
    2691
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (2691
   2691
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (2691 2691
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (2688 8
       (:REWRITE MILAWA::FORCING-LOGIC.DISJOIN-FORMULAS-OF-TWO-ELEMENT-LIST))
 (2054 2054
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2054 2054
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1925 1925
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1878 1878
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1878 1878
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1878 1878
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1811 1811
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1650 1650
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1650 1650
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1650 1650
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1626
  1626
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1626
     1626
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1613
  1613
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (1613
     1613
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (1604
    1604
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1476 49
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1147 1147
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1109 1109
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1069 1069
       (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (878
    878
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (878 878
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (878 878
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (878
     878
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (878 878
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (878 878
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (878 878
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (878 878
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (869 869
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (834
    834
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (834
   834
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (834
    834
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (820 820
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (820 820
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (816 816
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (816
     816
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (792 201
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (783
     783
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (779 779
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (779
     779
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (765 765
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (743 743
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (743 743
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (743 743
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (738 35
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (737 737
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (703 703
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (703 703
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (703 703
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (684 684
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (653 653
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (623 7
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (617 617
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (590 41
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (522 522
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (517 517
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (514 514
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (514 514
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (514 514
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (514 514
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (514 514 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (505 505
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (411 41
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (356 356
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (344 26
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (326 14
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (317 317
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (312 12 (:REWRITE MILAWA::|(< 1 (len x))|))
 (288 288
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (276 138
      (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (257 257
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (247 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (201 201
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (201 201
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (201
     201
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (201 201
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (197 197
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (197
     197
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (197 197
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (179 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (175 35
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (140 35
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (107 107
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (107
    107
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (92 7
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (84
  84
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (84
  84
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (84
  84
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (84
   84
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (84
  84
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (84 84
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (65 65
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (65 65
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (56
   56
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (56 56
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (52 52 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (41 41
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (37 37
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (37 37
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (37 37
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (36 12 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 12
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (12 12
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (10 2
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.POR-REWRITE))
 (7 7
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (1 1
    (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-NEGATED-IF
 (3758 188
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3745 102
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3457 318
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1462 79
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1348 461
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1347 123
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1299 223
       (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (1074 72 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (869 55 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (778 127
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (774 127
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (696 102
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (616 168
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (609 345
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (601 112
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (516 4
      (:REWRITE MILAWA::FORCING-LOGIC.DISJOIN-FORMULAS-OF-TWO-ELEMENT-LIST))
 (471 471
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (461 291
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (459 459
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (459 459
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (459 459
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (459 459
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (459 459
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (450 10
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (384 48
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (367 367
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (367 367
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (349 73
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (347 347
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (345 345
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (345 345
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (318 318
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (288 48
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (254 254 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (254 254
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (254 254
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (254 254
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (254 254
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (250 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (248 248
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (248 248
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (248 248
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (243 243
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (205 205
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (205 205
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (205 205
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (205 205
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (202 202
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (188 188
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (188 188
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (179 113
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (174 174
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (172 172
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (172 172
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (172
    172
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (172
   172
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (172 172
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (168 168
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (168 168
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (164 164
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (138 7
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (131 131
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (120 120
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (120 120
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (120 120
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (106
  106
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (106
     106
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (102
    102
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (102
  102
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (102
     102
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (101 101
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (101 101
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (101 101
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (91 3
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (88 88
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (85 85
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (73 73
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (72 72
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (68 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66
    66
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (66 66
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (66 66
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (60 60
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (60 60
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (60 60
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (55 55
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (55 55
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (55 55
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (54 54
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (54 54
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (48 48
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (48 48
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (48 48
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (48
    48
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (48
   48
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (48 48
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (48
    48
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (48 48
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (46 46 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (45 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (40 40
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (35 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (32 32
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (30 30 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (28 28
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (28 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (23 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (20
   20
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (20 10
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (17 17
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 2
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.POR-REWRITE))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-NEGATED-IF
 (11569 270
        (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (10678 889
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (9056 1187
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (6724 322
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (6473 488
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (4724 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (4203 721
       (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (3504 240 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (2669 175 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (2002 546
       (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (1966 321
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1956 321
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1883 1139
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1842 270
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (1705 370
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (1606 1606
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1573 1573
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1571 1571
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1571 1571
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1571 1571
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1571 1571
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1571 1571
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1485 33
       (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (1401 1005
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1207 1207
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1207 1207
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1187 1187
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1139 1139
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1139 1139
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1046 1046
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1046 1046
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1046 1046
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1008 126
       (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (1002 1002
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (971 971
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (968 182
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (889 889
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (889 889
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (759 126
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (671 671
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (661 661
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (661 661
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (661 661
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (661 661
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (661 24
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (658 658
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (642 642 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (642 642
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (642 642
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (642 642
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (642 642
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (546 546
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (546 546
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (516 4
      (:REWRITE MILAWA::FORCING-LOGIC.DISJOIN-FORMULAS-OF-TWO-ELEMENT-LIST))
 (506 506
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (445 445
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (445 445
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (445
    445
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (445
   445
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (445 445
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (437 371
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (388 388
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (388 388
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (388 388
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (356 4
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (340 340
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (297 297
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (297 297
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (297 297
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (292 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (279 279
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (277
  277
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (277
     277
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (270
    270
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (270
  270
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (270
     270
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (245 245
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (245 245
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (245 245
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (212 212
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (212 53
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (182 182
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (180 180
      (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (171 171
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (153
    153
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (153 153
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (153 153
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (153
     153
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (153 153
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (153 153
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (153 153
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (153 153
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (151 151
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (151
     151
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (151 151
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (151 151
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (144 144
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (140 140
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (140
     140
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (140
     140
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (132 132
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (129
    129
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (129
   129
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (129
    129
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (127 127
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (126 126
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (126 126
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (126 126
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (126 126
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (109 109
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (99 11
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (86 86
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (73 73
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (70 70
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (70 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (66 66
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (66 66
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (66 66
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (66 66
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (66 66 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (66 33
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (57 15
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (56 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (53 53
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (53 53
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (53 53
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (53 53
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (53 53
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (53 53
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (53 53
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (44 11
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (43 43
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (40 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (34 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (33 33 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (27
   27
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (21 21
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (21
    21
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (10 2
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.POR-REWRITE))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-LOGIC.FUNCTION))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-NEGATED-IF
 (3758 188
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3745 102
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3457 318
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2427 177
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2028 522
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1815 591
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1462 79
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1299 223
       (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (1242 54
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (1074 72 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (869 55 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (778 127
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (774 127
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (702 54
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (702 54
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (696 102
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (616 168
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (601 601
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (601 112
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (591 591
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (589 589
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (589 589
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (589 589
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (589 589
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (589 589
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (545 305
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (522 522
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (522 522
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (516 4
      (:REWRITE MILAWA::FORCING-LOGIC.DISJOIN-FORMULAS-OF-TWO-ELEMENT-LIST))
 (497 497
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (497 497
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (476 14
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (450 10
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (384 48
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (349 73
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (347 347
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (324 54
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (318 318
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (288 48
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (276 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (254 254 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (254 254
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (254 254
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (254 254
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (254 254
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (248 248
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (248 248
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (248 248
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (243 243
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (205 205
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (205 205
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (205 205
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (205 205
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (202 202
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (188 188
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (188 188
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (185 185
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (179 113
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (175 175
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (172 172
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (172 172
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (172
    172
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (172
   172
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (172 172
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (168 168
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (168 168
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (166 166
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (138 7
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (134 134
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (134 134
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (134 134
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (106
  106
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (106
     106
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (102
    102
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (102
  102
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (102
     102
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (101 101
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (101 101
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (101 101
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (91 3
     (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (88 88
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (88 88
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (86 86
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (73 73
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (68 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (66 66
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (66
    66
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (66 66
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (66 66
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (61 61
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (61 61
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (61 61
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (54
  54
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (54 54
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (54 54
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (54 54
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (54 54
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (54 54
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (54 54
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (54
   54
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (54
  54
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (54 54
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (54 54
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (54 54
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (54
  54
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (54 54
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (54 54
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (54 54
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (54 54
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (54 54
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (54 54
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (54 54
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (54 54
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (54 54
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (54
  54
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (54 54
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (54
  54
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (54
  54
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (54
  54
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (48 48
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (48 48
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (48 48
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (48
    48
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (48
   48
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (48 48
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (48
    48
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (48 48
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (46 46 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (45 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (44 44
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (44 44
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (44 44
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (44 44 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (40 40
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (35 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (32 32
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (28 28
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (28 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (24 6
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (23 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (20
   20
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (20 10
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (17 17
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (16 16
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (14 14
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (13 13 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (10 2
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.POR-REWRITE))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-IF)
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-IF
 (64186 1777 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (53020 3731
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (34760 1193
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (28625 3113
        (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (21593 3006
        (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (18053 6664
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (16959 1910
        (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (9521 486 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (9286 148
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (8588 4891
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7742 847
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (7665 1107
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (7337 1193
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (7291 310
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (7200 1193
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (6778 6778
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6664 6664
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (6631 6631
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (6631 6631
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (6631 6631
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (6631 6631
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (6311 1116
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5529 5529
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (5529 5529
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (5130 114
       (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (4891 4891
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4891 4891
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4866 3268
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (3731 3731
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (3691 3691
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (3113 3113
       (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3113 3113
       (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3015 3015
       (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (3006 3006
       (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (3006 3006
       (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (2493 2493
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2493 2493
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2493 2493
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2386 2386 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2386 2386
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2386 2386
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2386 2386
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2386 2386
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2328 2328
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2216 2216
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (2216 2216
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (2216
    2216
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (2216
   2216
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (2216 2216
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (2121 2121
       (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (1965 243
       (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (1876 1876
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1876 1876
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1876 1876
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1304 1304
       (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (1248 243
       (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (1193 1193
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1193 1193
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1185 1185
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1185 1185
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1185 1185
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1151
  1151
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1151
     1151
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1149 1149
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1125
  1125
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (1125
     1125
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (1116
    1116
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1107 1107
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (952 952
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (885 885
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (882 882
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (881 881
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (839
    839
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (839
   839
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (839
    839
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (792 792
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (780 30
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (649
    649
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (649 649
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (649 649
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (649
     649
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (649 649
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (649 649
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (649 649
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (649 649
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (533 40
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (509 509
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (462 33
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (365 365
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (351 40
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (329 83
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (316 316
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (316 316
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (310
     310
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (310 310
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (310 310
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (310 310
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (282 282
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (282
     282
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (276 276
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (276
     276
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (274 274
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (274 274
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (274 274
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (274 274
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (274 274 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (273 14
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (252 252
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (248 248
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (248 248
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (248 248
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (247 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (242 242
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (239 239
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (235 34
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (228 228
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (228 114
      (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (221 221
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (183 183
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (165 83
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (165 33
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (132 33
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (126 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (83 83
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (83 83
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (83 83
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (83 83
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (82 82
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (82 82
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (82 82
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (82 82
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (75 75
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (75
    75
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (65
  65
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (65
  65
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (65
  65
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (65
   65
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (65
  65
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (65 65
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (60 60
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (57
  57
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (42 7
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (40 40
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (40
   40
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (39 39
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (34 34
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (34 34 (:REWRITE MILAWA::CDR-OF-CONS))
 (33 33
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (30 30 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-POSITIVE-IF
 (4380 70
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3558 254
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3474 123
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2135 85 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (1895 4
       (:REWRITE MILAWA::FORCING-LOGIC.DISJOIN-FORMULAS-OF-TWO-ELEMENT-LIST))
 (1225 171
       (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (1121 391
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1036 122
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (786 152
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (756 123
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (742 123
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (658 133
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (633 27
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (551 50
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (450 10
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (423 243
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (401 401
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (401 150
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (392 70
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (391 391
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (386 386
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (386 386
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (386 386
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (386 386
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (362 242
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (333 63
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (329 19 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (324 324
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (324 324
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (254 254
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (246 246 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (246 246
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (246 246
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (246 246
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (246 246
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (242 242
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (242 242
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (240 240
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (173 173
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (168 168
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (168 168
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (168 168
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (152 152
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (152 152
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (150 150
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (150 150
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (150 150
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (139 139
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (134 134
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (132 132
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (132 132
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (132
    132
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (132
   132
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (132 132
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (130 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (128 16
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (123 123
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (123 123
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (106 106
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (96 96
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (88 88
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (88 88
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (88 88
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (80 16
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (74
  74
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (74 74
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (72 72
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (70
    70
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (70
  70
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (70 70
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (70 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (67
    67
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (67 67
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (67 67
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (64 64
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (63 63
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (58 58
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (54 54
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (50 50 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (48
    48
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (48
   48
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (48
    48
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (40 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (36 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (35 35
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (32 32
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (32 32
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (32 32
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (32 32 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (31 31
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (31 31
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (31 31
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (22 22
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (20 10
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5
   5
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (3
  3
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-POSITIVE-IF
 (9046 319
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (9042 156
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (8848 642
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (4059 197 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (2681 419
       (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (2588 901
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2177 306
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (1910 311
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1895 4
       (:REWRITE MILAWA::FORCING-LOGIC.DISJOIN-FORMULAS-OF-TWO-ELEMENT-LIST))
 (1877 311
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1607 70
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1578 368
       (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (1575 35
       (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (1308 135
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1072 602
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (936 936
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (929 317
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (901 901
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (897 565
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (893 51 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (889 889
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (871 156
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (763 763
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (763 763
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (730 130
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (712 8
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (642 642
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (625 374
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (622 622 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (622 622
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (622 622
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (622 622
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (622 622
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (576 20
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (565 565
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (565 565
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (559 559
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (447 447
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (420 420
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (420 420
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (420 420
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (374 374
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (374 374
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (374 374
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (368 368
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (368 368
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (363 363
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (341 341
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (319 319
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (319 319
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (310 310
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (288 36
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (281 281
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (281 281
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (281
    281
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (281
   281
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (281 281
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (244 244
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (244 244
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (244 244
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (210 210
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (210 210
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (210 210
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (180 36
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (174 174
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (174 174
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (168 12
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (163
  163
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (163
     163
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (156
    156
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (156
    156
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (156 156
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (156 156
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (156
     156
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (156 156
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (156 156
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (156 156
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (156
  156
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (156
     156
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (156 156
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (155 155
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (152 152
      (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (130 130
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (129 129
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (120 120
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (110 110
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (103
    103
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (103
   103
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (103
    103
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (96 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (96 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (82 82
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (82 82
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (82 82
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (80 80
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (80 80
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (80 80
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (80 80
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (80 80 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (80 80
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (80 17
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (70 70
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (70 35
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (62 62
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (60 60
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (60 60
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (60 60
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (60 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (55 55
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (48 48
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (48 48
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (48 48
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (48 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (48 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (48 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (36 36
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (36 36
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (36 36
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (24 24
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (24 24
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (24 24
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (20 20 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (13
    13
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (12
   12
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (8 8
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (6
  6
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (2 2
    (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-POSITIVE-IF
 (4380 70
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3666 256
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3590 129
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2135 85 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (1895 4
       (:REWRITE MILAWA::FORCING-LOGIC.DISJOIN-FORMULAS-OF-TWO-ELEMENT-LIST))
 (1295 433
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1225 171
       (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (1036 122
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (812 129
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (786 152
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (758 129
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (731 58
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (658 133
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (633 27
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (565 275
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (554 284
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (476 14
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (450 10
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (443 443
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (428 428
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (428 428
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (426 426
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (426 426
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (401 150
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (392 70
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (366 366
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (366 366
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (333 63
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (329 19 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (284 284
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (284 284
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (256 256
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (254 254
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (250 250
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (250 250
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (246 246 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (246 246
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (246 246
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (234 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (204 6
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (174 174
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (174 174
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (174 174
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (173 173
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (152 152
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (152 152
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (150 150
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (150 150
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (150 150
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (140 140
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (139 139
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (132 132
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (132 132
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (132
    132
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (132
   132
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (132 132
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (129 129
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (129 129
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (128 16
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (110 110
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (110 110
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (110 110
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (110 110
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (96 96
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (94 94
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (80 16
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (78 6
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (78 6
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (74
  74
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (74 74
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (70
    70
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (70
  70
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (70 70
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (70 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (67
    67
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (67 67
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (67 67
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (67 67
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (66 66
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (64 64
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (63 63
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (54 54
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (54 54
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (54 54
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (54 54
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (54 54 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (54 54
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (50 50 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (50 2 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (48
    48
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (48
   48
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (48
    48
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (40 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (38 38
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (36 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (36 6
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (35 35
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (31 31
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (31 31
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (31 31
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (24 6
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (20 10
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (20 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (16 16
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (14 14
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (6 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (6
  6
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (6 6
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (6 6
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (6 6
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (6 6
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (6 6
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (6 6
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (6
   6
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (6
  6
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (6 6
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (6 6
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (6
  6
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (6 6
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (6 6
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6
  6
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5
   5
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (5
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (3
  3
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE)))
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-DEFAULT)
(MILAWA::CLAUSE.AUX-SPLIT-NEGATIVE-DEFAULT
 (6016 202
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (5723 348
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2620 159 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (1665 37
       (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (1416 504
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1316 505
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1230 202
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1212 202
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1141 482
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (764 116
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (635 215
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (633 167
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (541 541
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (505 505
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (505 505
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (504 504
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (501 501
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (501 501
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (498 99
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (427 427
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (404 404 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (404 404
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (404 404
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (404 404
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (404 404
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (400 22
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (399 99
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (348 348
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (346 303
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (328 328
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (328 328
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (328 328
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (305 305
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (303 303
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (303 303
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (286 13
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (253 253
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (250 8
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (235 235
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (214 214
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (214 214
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (214 214
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (209 209
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (205 7
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (202 202
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (202 202
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (181 181
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (167 167
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (167 167
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (142 16
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (132 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (126 126
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (126 126
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (125 125
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (125
     125
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (125 32
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (118
  118
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (118
     118
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (118
    118
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (118 118
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (118 118
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (118
     118
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (118 118
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (118 118
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (117 117
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (117 117
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (117 117
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (117 117
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (117 117
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (117 117 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (117 117
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (117 117
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (117
    117
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (117
   117
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (117 117
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (117
  117
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (117
     117
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (116
    116
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (115 115
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (113
     113
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (112 112
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (112
     112
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (74 74
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (74 74
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (74 74
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (74 74
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (74 74
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (74 37
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (65 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (63 63
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (63 32
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (62 62
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (61 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (60 60
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (56 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (53 53
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (52 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (44 44
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (43
  43
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (37 37 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (31 31
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (31 31
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (31 31
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14
   14
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (1 1
    (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-DEFAULT
 (912 39
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (832 58
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (595 18
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (286 98
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (225 5
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (214 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (210 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (210 14 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (208 88
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (197 33
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (195 27
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (176 8 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (124 68
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (110 5
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (108 18
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (103 103
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (75 19
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (72 72
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (71 5
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (70 70 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 70 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (70 70
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (70 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (68 68
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (68 68
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (60 12
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (58 58
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (55 55
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (55 55
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (55 55
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (48 12
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (45 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (39 39
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (35 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (34 34
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (34 34
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (32 32
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (31 31
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (22 22
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (22 22
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (22 22 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (22
  22
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (22
    22
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (22
   22
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (19
    19
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18
    18
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (18
  18
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (16 16
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (10 5
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-NEGATIVE-DEFAULT
 (844 43
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (750 62
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (595 18
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (585 13
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (374 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (291 39
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (286 110
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (264 12
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (214 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (210 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (210 14 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (197 33
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (137 137
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (136 80
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (110 5
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (108 18
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (84 84
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (80 80
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (80 80
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (75 19
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (71 5
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (70 70 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 70 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (70 70
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (70 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (62 62
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (60 12
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (59 59
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (59 59
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (59 59
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (48 12
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (45 45
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (45 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (43 43
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (43 43
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (35 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (32 32
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (31 31
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (30 30
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (30 30 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (26 13
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (24 24
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (22
  22
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (22
    22
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (22
   22
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (19
    19
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18
    18
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (18
  18
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-NEGATIVE-DEFAULT
 (1380 220
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1155 75
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1104 48
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (912 39
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (832 58
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (670 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (624 48
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (624 48
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (595 18
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (288 48
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (272 8
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (256 96
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (225 5
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (220 220
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (220 220
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (214 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (211 211
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (210 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (210 14 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (197 33
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (176 8 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (110 5
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (108 18
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (79 79
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (75 19
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (72 72
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (71 5
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (70 70 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 70 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (70 70
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (70 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (60 12
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (58 58
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (55 55
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (55 55
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (55 55
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (48
  48
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (48 48
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (48 48
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (48 48
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (48 48
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (48 48
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (48 48
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (48
   48
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (48
  48
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (48 48
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (48 48
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (48 48
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (48
  48
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (48 48
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (48 48
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (48 48
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (48 48
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (48 48
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (48 48
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (48 48
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (48
  48
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (48 48
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (48
  48
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (48
  48
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (48
  48
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (48 12
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (45 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (39 39
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (35 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (33 33
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (32 32
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (30 30
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (30 30 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (24 6
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (22
  22
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (22
    22
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (22
   22
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (19
    19
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18
    18
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (18
  18
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (10 5
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-DEFAULT)
(MILAWA::CLAUSE.AUX-SPLIT-POSITIVE-DEFAULT
 (247 4
      (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (163 7
      (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (135 3
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (132 2 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (102 3
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (91 3
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (76 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (72 21
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (68 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (61 22
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (50 7
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (50 2
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (47 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (23 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (20 5
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (14 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (7 7
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (7 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 3
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (4 4 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4 4 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2 2
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1 (:REWRITE MILAWA::CDR-OF-CONS)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-CLAUSE.AUX-SPLIT-POSITIVE-DEFAULT
 (446 17
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (409 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (204 5
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (180 4
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (142 47
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (133 45
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (115 47
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (71 5
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (70 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (66 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (51 51
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (47 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (29 5
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (27 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 22
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (19 5
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (8 4
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-CLAUSE.AUX-SPLIT-POSITIVE-DEFAULT
 (540 12
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (362 17
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (323 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (227 63
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (214 65
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (205 6
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (189 65
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (110 5
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (77 77
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (71 5
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (70 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (48 48
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (48 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (45 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (38 38
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (38 38
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (38 38
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (35 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (29 5
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (28 28
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (28 28
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (28 28
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (28 28 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (24 12
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (24 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (19 5
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (17 17
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (12 12
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (10
    10
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (10
   10
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-CLAUSE.AUX-SPLIT-POSITIVE-DEFAULT
 (446 17
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (409 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (204 6
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (204 5
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (180 4
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (172 53
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (169 51
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (145 53
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (71 5
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (70 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (66 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (57 57
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (47 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (29 5
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (27 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (22 22
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (22 22
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (22 22
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (22 22 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (19 5
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (8 4
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP)))
