(L6-REGULAR-FILE-ENTRY-P)
(L6-REGULAR-FILE-FIRST-CLUSTER)
(L6-REGULAR-FILE-LENGTH)
(L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1
 (27 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (19 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (10 1 (:DEFINITION NAT-LISTP))
 (9 9 (:REWRITE DEFAULT-<-2))
 (9 9 (:REWRITE DEFAULT-<-1))
 (7 7 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE DEFAULT-CDR))
 (5 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (5 1 (:DEFINITION INTEGER-LISTP))
 (2 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(L6-MAKE-REGULAR-FILE)
(L6-MAKE-REGULAR-FILE-CORRECTNESS-1
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(L6-MAKE-REGULAR-FILE-CORRECTNESS-2)
(L6-FS-P
 (479 186 (:REWRITE DEFAULT-+-2))
 (314 186 (:REWRITE DEFAULT-+-1))
 (238 17 (:REWRITE LENGTH-WHEN-STRINGP))
 (187 17 (:DEFINITION LEN))
 (136 34 (:DEFINITION INTEGER-ABS))
 (121 70 (:REWRITE DEFAULT-CDR))
 (79 79 (:REWRITE DEFAULT-CAR))
 (68 8 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (62 4 (:DEFINITION SYMBOL-LISTP))
 (51 51 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (51 34 (:REWRITE STR::CONSP-OF-EXPLODE))
 (47 47 (:REWRITE FOLD-CONSTS-IN-+))
 (40 36 (:REWRITE DEFAULT-<-2))
 (40 36 (:REWRITE DEFAULT-<-1))
 (34 34 (:REWRITE DEFAULT-UNARY-MINUS))
 (34 17 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (17 17 (:TYPE-PRESCRIPTION LEN))
 (17 17 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (17 17 (:REWRITE DEFAULT-REALPART))
 (17 17 (:REWRITE DEFAULT-NUMERATOR))
 (17 17 (:REWRITE DEFAULT-IMAGPART))
 (17 17 (:REWRITE DEFAULT-DENOMINATOR))
 (12 6 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (8 8 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 )
(L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2
 (5 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(ALISTP-L6-FS-P
 (643 82 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (514 41 (:DEFINITION SYMBOL-LISTP))
 (432 6 (:REWRITE ALISTP-L2-FS-P))
 (416 12 (:DEFINITION L2-FS-P))
 (296 6 (:REWRITE ALISTP-L3-FS-P))
 (280 10 (:DEFINITION L3-FS-P))
 (258 6 (:REWRITE ALISTP-L1-FS-P))
 (242 10 (:DEFINITION L1-FS-P))
 (218 218 (:REWRITE DEFAULT-CAR))
 (170 170 (:REWRITE DEFAULT-CDR))
 (143 143 (:TYPE-PRESCRIPTION L2-FS-P))
 (96 48 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (82 82 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (74 74 (:TYPE-PRESCRIPTION L3-FS-P))
 (74 74 (:TYPE-PRESCRIPTION L1-FS-P))
 (54 54 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (41 15 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (27 9 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (27 9 (:DEFINITION NATP))
 (22 11 (:REWRITE L2-CREATE-CORRECTNESS-1-LEMMA-2))
 (10 10 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE DEFAULT-<-1))
 )
(L6-FS-P-ASSOC
 (1728 184 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (1396 92 (:DEFINITION SYMBOL-LISTP))
 (583 583 (:REWRITE DEFAULT-CAR))
 (504 342 (:REWRITE DEFAULT-CDR))
 (257 119 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (226 113 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (184 184 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 )
(L6-BUILD-INDEX-LIST
 (310 12 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (186 6 (:DEFINITION NTH))
 (115 23 (:DEFINITION LEN))
 (102 82 (:REWRITE DEFAULT-<-2))
 (96 82 (:REWRITE DEFAULT-<-1))
 (94 17 (:REWRITE NFIX-WHEN-ZP))
 (61 21 (:REWRITE ZP-OPEN))
 (56 33 (:REWRITE DEFAULT-+-2))
 (36 9 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (33 33 (:REWRITE DEFAULT-+-1))
 (29 29 (:REWRITE DEFAULT-CDR))
 (22 22 (:TYPE-PRESCRIPTION ZP))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER))
 (12 12 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(L6-BUILD-INDEX-LIST-ALT
 (995 38 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (589 19 (:DEFINITION NTH))
 (260 42 (:REWRITE NFIX-WHEN-ZP))
 (240 48 (:DEFINITION LEN))
 (217 174 (:REWRITE DEFAULT-<-2))
 (185 70 (:REWRITE ZP-OPEN))
 (183 174 (:REWRITE DEFAULT-<-1))
 (134 42 (:REWRITE NFIX-WHEN-NATP))
 (123 75 (:REWRITE DEFAULT-+-2))
 (79 73 (:REWRITE DEFAULT-CDR))
 (75 75 (:REWRITE DEFAULT-+-1))
 (69 23 (:DEFINITION NFIX))
 (69 23 (:DEFINITION NATP))
 (48 12 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (38 38 (:LINEAR POSITION-WHEN-MEMBER))
 (38 38 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (31 25 (:REWRITE DEFAULT-CAR))
 (23 23 (:TYPE-PRESCRIPTION NATP))
 (16 4 (:REWRITE INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (12 12 (:TYPE-PRESCRIPTION INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 )
(L6-STAT
 (1195 403 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (334 13 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (277 7 (:DEFINITION L6-FS-P))
 (91 7 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (56 7 (:DEFINITION MEMBER-EQUAL))
 (52 52 (:REWRITE DEFAULT-CDR))
 (52 52 (:REWRITE DEFAULT-CAR))
 (35 35 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (35 7 (:DEFINITION ASSOC-EQUAL))
 (21 21 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 1))
 (7 3 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 )
(UNMAKE-BLOCKS-WITHOUT-FEASIBILITY
 (346 2 (:DEFINITION UNMAKE-BLOCKS-WITHOUT-FEASIBILITY))
 (152 8 (:DEFINITION TAKE))
 (129 16 (:REWRITE TAKE-OF-LEN-FREE))
 (108 4 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (100 2 (:DEFINITION TRUE-LIST-LISTP))
 (91 5 (:DEFINITION TRUE-LISTP))
 (90 10 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (88 76 (:REWRITE DEFAULT-CDR))
 (82 50 (:REWRITE DEFAULT-+-2))
 (72 60 (:REWRITE DEFAULT-CAR))
 (60 10 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (60 10 (:DEFINITION STRING-LISTP))
 (58 3 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (50 50 (:TYPE-PRESCRIPTION STRING-LISTP))
 (50 50 (:REWRITE DEFAULT-+-1))
 (43 15 (:REWRITE ZP-OPEN))
 (42 12 (:DEFINITION CHARACTER-LISTP))
 (38 36 (:REWRITE DEFAULT-<-2))
 (38 36 (:REWRITE DEFAULT-<-1))
 (34 7 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (30 2 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (28 4 (:DEFINITION BINARY-APPEND))
 (24 4 (:REWRITE STR::LEN-OF-MAKE-CHARACTER-LIST))
 (21 3 (:REWRITE CONSP-OF-TAKE))
 (20 20 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (20 10 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (20 3 (:REWRITE NFIX-WHEN-ZP))
 (16 2 (:REWRITE ASSOCIATIVITY-OF-+))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER))
 (14 14 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (14 6 (:REWRITE FOLD-CONSTS-IN-+))
 (12 4 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (11 3 (:REWRITE NFIX-WHEN-NATP))
 (10 10 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (10 10 (:REWRITE SET::IN-SET))
 (10 10 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (8 8 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (6 2 (:DEFINITION NFIX))
 (5 5 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (4 2 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-1
 (152 18 (:REWRITE TAKE-OF-LEN-FREE))
 (149 10 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (131 25 (:DEFINITION LEN))
 (68 47 (:REWRITE DEFAULT-CDR))
 (66 4 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (61 34 (:REWRITE DEFAULT-+-2))
 (52 31 (:REWRITE DEFAULT-CAR))
 (38 10 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (37 26 (:REWRITE DEFAULT-<-2))
 (34 34 (:REWRITE DEFAULT-+-1))
 (33 26 (:REWRITE DEFAULT-<-1))
 (33 3 (:DEFINITION BINARY-APPEND))
 (25 7 (:REWRITE CONSP-OF-TAKE))
 (22 22 (:LINEAR POSITION-WHEN-MEMBER))
 (22 22 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (19 19 (:TYPE-PRESCRIPTION TAKE))
 (19 19 (:REWRITE ZP-OPEN))
 (15 15 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (15 3 (:REWRITE NFIX-WHEN-NATP))
 (12 3 (:REWRITE NFIX-WHEN-ZP))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (9 3 (:DEFINITION NFIX))
 (9 3 (:DEFINITION NATP))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 )
(UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-2
 (160 22 (:REWRITE TAKE-OF-LEN-FREE))
 (87 49 (:REWRITE DEFAULT-+-2))
 (75 51 (:REWRITE DEFAULT-CDR))
 (63 7 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (60 4 (:DEFINITION BINARY-APPEND))
 (52 28 (:REWRITE DEFAULT-CAR))
 (51 49 (:REWRITE DEFAULT-+-1))
 (44 44 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (42 7 (:DEFINITION CHARACTER-LISTP))
 (41 41 (:LINEAR POSITION-WHEN-MEMBER))
 (41 41 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (35 35 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (32 22 (:REWRITE DEFAULT-<-2))
 (32 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (27 22 (:REWRITE DEFAULT-<-1))
 (20 20 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (12 3 (:REWRITE NFIX-WHEN-ZP))
 (11 11 (:REWRITE ZP-OPEN))
 (8 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (7 7 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 1 (:DEFINITION NATP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE FOLD-CONSTS-IN-+))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-3
 (731 33 (:DEFINITION TAKE))
 (422 256 (:REWRITE DEFAULT-+-2))
 (296 260 (:REWRITE DEFAULT-CDR))
 (257 256 (:REWRITE DEFAULT-+-1))
 (210 174 (:REWRITE DEFAULT-CAR))
 (130 105 (:REWRITE DEFAULT-<-1))
 (129 27 (:DEFINITION BINARY-APPEND))
 (119 105 (:REWRITE DEFAULT-<-2))
 (112 112 (:LINEAR POSITION-WHEN-MEMBER))
 (112 112 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (110 38 (:REWRITE ZP-OPEN))
 (108 7 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (87 23 (:DEFINITION CHARACTER-LISTP))
 (78 17 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (78 6 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (64 32 (:REWRITE DEFAULT-*-2))
 (47 7 (:REWRITE CONSP-OF-TAKE))
 (44 7 (:REWRITE NFIX-WHEN-ZP))
 (32 32 (:REWRITE DEFAULT-*-1))
 (30 30 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (18 9 (:REWRITE DEFAULT-UNARY-MINUS))
 (15 7 (:REWRITE NFIX-WHEN-NATP))
 (13 13 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 )
(UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-4
 (373 17 (:REWRITE UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-3))
 (162 86 (:REWRITE DEFAULT-+-2))
 (156 129 (:REWRITE DEFAULT-CDR))
 (135 108 (:REWRITE DEFAULT-CAR))
 (135 11 (:DEFINITION TAKE))
 (134 19 (:REWRITE TAKE-OF-LEN-FREE))
 (111 9 (:DEFINITION BINARY-APPEND))
 (86 86 (:REWRITE DEFAULT-+-1))
 (72 18 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (54 9 (:REWRITE STR::LEN-OF-MAKE-CHARACTER-LIST))
 (42 6 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (39 31 (:REWRITE DEFAULT-<-2))
 (38 4 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (34 14 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (32 31 (:REWRITE DEFAULT-<-1))
 (30 30 (:LINEAR POSITION-WHEN-MEMBER))
 (30 30 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (22 22 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (12 12 (:REWRITE ZP-OPEN))
 (12 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 4 (:REWRITE NFIX-WHEN-ZP))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:REWRITE NFIX-WHEN-NATP))
 )
(UNMAKE-WITHOUT-FEASIBILITY-MAKE-BLOCKS
 (15 2 (:DEFINITION LEN))
 (6 3 (:REWRITE DEFAULT-CDR))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 3 (:TYPE-PRESCRIPTION MAKE-BLOCKS))
 (3 1 (:DEFINITION CHARACTER-LISTP))
 (2 2 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(L6-FILE-INDEX-LIST)
(L6-FILE-INDEX-LIST-CORRECTNESS-1
 (235 2 (:DEFINITION NATP))
 (229 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (199 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (195 4 (:DEFINITION NAT-LISTP))
 (176 2 (:DEFINITION INTEGER-LISTP))
 (151 9 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (128 4 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (116 4 (:DEFINITION L6-FS-P))
 (114 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (78 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (72 5 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (70 14 (:DEFINITION LEN))
 (60 8 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (44 4 (:DEFINITION SYMBOL-LISTP))
 (34 34 (:REWRITE DEFAULT-CDR))
 (34 23 (:REWRITE DEFAULT-<-2))
 (32 32 (:TYPE-PRESCRIPTION L6-FS-P))
 (32 23 (:REWRITE DEFAULT-<-1))
 (31 31 (:TYPE-PRESCRIPTION NAT-LISTP))
 (28 28 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (28 14 (:REWRITE DEFAULT-+-2))
 (26 26 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (20 20 (:REWRITE DEFAULT-CAR))
 (14 14 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (14 14 (:REWRITE DEFAULT-+-1))
 (13 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (13 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (9 9 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (9 9 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (9 9 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (8 4 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE INDICES-MARKED-P-CORRECTNESS-1))
 (4 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(L6-FILE-INDEX-LIST-CORRECTNESS-2
 (32 1 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (29 1 (:DEFINITION L6-FS-P))
 (15 2 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (11 1 (:DEFINITION SYMBOL-LISTP))
 (8 8 (:TYPE-PRESCRIPTION L6-FS-P))
 (7 7 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (5 1 (:DEFINITION LEN))
 (4 4 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 2 (:REWRITE DEFAULT-<-2))
 (3 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (2 1 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(L6-FILE-INDEX-LIST-CORRECTNESS-3
 (10 2 (:DEFINITION LEN))
 (8 2 (:REWRITE INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (6 4 (:REWRITE DEFAULT-<-2))
 (6 4 (:REWRITE DEFAULT-<-1))
 (6 2 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION L6-REGULAR-FILE-ENTRY-P))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(L6-RDCHS
 (310 2 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (238 1 (:DEFINITION UNMAKE-BLOCKS-WITHOUT-FEASIBILITY))
 (218 4 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (152 2 (:DEFINITION NTH))
 (140 10 (:REWRITE ZP-OPEN))
 (130 4 (:DEFINITION L6-FS-P))
 (124 6 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (117 6 (:REWRITE NFIX-WHEN-ZP))
 (87 17 (:DEFINITION LEN))
 (87 1 (:DEFINITION L6-STAT))
 (81 43 (:REWRITE DEFAULT-<-2))
 (80 10 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (77 9 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (74 43 (:REWRITE DEFAULT-<-1))
 (74 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (70 14 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (67 5 (:DEFINITION SYMBOL-LISTP))
 (66 2 (:REWRITE UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-4))
 (63 57 (:REWRITE DEFAULT-CDR))
 (60 6 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (56 38 (:REWRITE DEFAULT-+-2))
 (56 4 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (56 2 (:REWRITE UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-3))
 (53 47 (:REWRITE DEFAULT-CAR))
 (48 2 (:DEFINITION TAKE))
 (48 1 (:DEFINITION BINARY-APPEND))
 (44 4 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (39 38 (:REWRITE DEFAULT-+-1))
 (36 4 (:REWRITE TAKE-OF-LEN-FREE))
 (32 4 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (30 6 (:DEFINITION CHARACTER-LISTP))
 (26 2 (:DEFINITION NFIX))
 (18 6 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (17 1 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (14 14 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (14 14 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (13 5 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (13 1 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (12 12 (:TYPE-PRESCRIPTION ZP))
 (12 12 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (12 2 (:REWRITE STR::LEN-OF-MAKE-CHARACTER-LIST))
 (11 11 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (11 1 (:REWRITE L6-FS-P-ASSOC))
 (10 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (10 2 (:DEFINITION ASSOC-EQUAL))
 (10 1 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-2))
 (9 9 (:LINEAR POSITION-WHEN-MEMBER))
 (9 9 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (9 1 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (8 1 (:DEFINITION MEMBER-EQUAL))
 (7 3 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 6 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 5 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (4 4 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (4 4 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 )
(L6-WRCHS
 (3970 1328 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1890 9 (:DEFINITION UNMAKE-BLOCKS-WITHOUT-FEASIBILITY))
 (1780 534 (:REWRITE DEFAULT-CDR))
 (1727 58 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (1659 62 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (1480 10 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (1224 46 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (1060 20 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1007 25 (:DEFINITION L6-FS-P))
 (831 425 (:REWRITE DEFAULT-<-2))
 (760 62 (:REWRITE UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-4))
 (760 10 (:DEFINITION NTH))
 (653 36 (:REWRITE NFIX-WHEN-ZP))
 (588 425 (:REWRITE DEFAULT-<-1))
 (492 435 (:REWRITE DEFAULT-CAR))
 (480 263 (:REWRITE DEFAULT-+-2))
 (432 18 (:DEFINITION TAKE))
 (416 18 (:REWRITE UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-3))
 (400 50 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (396 36 (:REWRITE TAKE-OF-LEN-FREE))
 (350 70 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (306 18 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (300 30 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (286 22 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (280 20 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (278 263 (:REWRITE DEFAULT-+-1))
 (270 54 (:DEFINITION ASSOC-EQUAL))
 (220 20 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (207 9 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (179 179 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (176 22 (:DEFINITION MEMBER-EQUAL))
 (160 20 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (153 9 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (135 18 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (130 10 (:DEFINITION NFIX))
 (124 62 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (123 23 (:DEFINITION CHARACTER-LISTP))
 (112 8 (:DEFINITION MAKE-LIST-AC))
 (110 110 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (109 109 (:LINEAR POSITION-WHEN-MEMBER))
 (109 109 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (108 18 (:REWRITE STR::LEN-OF-MAKE-CHARACTER-LIST))
 (104 10 (:DEFINITION BINARY-APPEND))
 (99 99 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (99 9 (:REWRITE CONSP-OF-TAKE))
 (70 70 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (62 62 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (61 61 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (50 10 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (50 5 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-2))
 (46 46 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (45 45 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (44 44 (:REWRITE SUBSETP-MEMBER . 2))
 (44 44 (:REWRITE SUBSETP-MEMBER . 1))
 (30 11 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (29 29 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (25 5 (:DEFINITION EQLABLE-ALISTP))
 (21 9 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (20 20 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (20 20 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (18 18 (:TYPE-PRESCRIPTION TAKE))
 (18 9 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 10 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (7 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:TYPE-PRESCRIPTION SET-INDICES))
 )
(L6-CREATE
 (3202 1072 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (325 25 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (293 140 (:REWRITE DEFAULT-CDR))
 (206 108 (:REWRITE DEFAULT-<-2))
 (200 25 (:DEFINITION MEMBER-EQUAL))
 (144 4 (:DEFINITION L6-FS-P))
 (135 69 (:REWRITE DEFAULT-+-2))
 (129 17 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (126 36 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (125 125 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (110 108 (:REWRITE DEFAULT-<-1))
 (80 77 (:REWRITE DEFAULT-CAR))
 (70 69 (:REWRITE DEFAULT-+-1))
 (57 38 (:REWRITE STR::CONSP-OF-EXPLODE))
 (50 50 (:REWRITE SUBSETP-MEMBER . 2))
 (50 50 (:REWRITE SUBSETP-MEMBER . 1))
 (39 39 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (26 7 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (20 4 (:DEFINITION ASSOC-EQUAL))
 (18 18 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (14 6 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (12 4 (:DEFINITION CHARACTER-LISTP))
 (10 2 (:DEFINITION EQLABLE-ALISTP))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5 1 (:DEFINITION BINARY-APPEND))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (1 1 (:TYPE-PRESCRIPTION SET-INDICES))
 (1 1 (:REWRITE NFIX-WHEN-ZP))
 )
(L6-UNLINK
 (1874 642 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (144 4 (:DEFINITION L6-FS-P))
 (124 12 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (105 12 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (56 11 (:DEFINITION LEN))
 (46 46 (:REWRITE DEFAULT-CDR))
 (44 44 (:REWRITE DEFAULT-CAR))
 (39 3 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (30 6 (:DEFINITION ASSOC-EQUAL))
 (26 14 (:REWRITE DEFAULT-+-2))
 (24 3 (:DEFINITION MEMBER-EQUAL))
 (24 2 (:REWRITE ZP-OPEN))
 (20 1 (:REWRITE NFIX-WHEN-ZP))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (15 14 (:REWRITE DEFAULT-+-1))
 (14 6 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (14 1 (:DEFINITION MAKE-LIST-AC))
 (13 10 (:REWRITE DEFAULT-<-2))
 (13 10 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 )
(FA-TABLE-TO-ALV-HELPER
 (4 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE MEMBER-OF-FAT32-ENTRY-LIST))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(FA-TABLE-TO-ALV-HELPER-CORRECTNESS-1
 (43 38 (:REWRITE DEFAULT-CDR))
 (42 21 (:REWRITE DEFAULT-+-2))
 (24 24 (:LINEAR POSITION-WHEN-MEMBER))
 (24 24 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (21 21 (:REWRITE DEFAULT-+-1))
 (9 9 (:REWRITE DEFAULT-CAR))
 )
(FA-TABLE-TO-ALV-HELPER-CORRECTNESS-2
 (94 44 (:REWRITE BOOLEAN-LISTP-WHEN-NOT-CONSP))
 (76 70 (:REWRITE DEFAULT-CDR))
 (51 45 (:REWRITE DEFAULT-CAR))
 )
(FA-TABLE-TO-ALV-HELPER-CORRECTNESS-3
 (190 42 (:REWRITE NFIX-WHEN-ZP))
 (138 98 (:REWRITE DEFAULT-<-2))
 (136 76 (:REWRITE DEFAULT-+-2))
 (124 44 (:REWRITE ZP-OPEN))
 (98 98 (:REWRITE DEFAULT-<-1))
 (96 86 (:REWRITE DEFAULT-CDR))
 (96 16 (:REWRITE FA-TABLE-TO-ALV-HELPER-CORRECTNESS-1))
 (88 4 (:REWRITE NTH-UNDER-IFF-1))
 (86 38 (:REWRITE NFIX-WHEN-NATP))
 (76 76 (:REWRITE DEFAULT-+-1))
 (54 4 (:DEFINITION MEMBER-EQUAL))
 (41 39 (:REWRITE DEFAULT-CAR))
 (40 40 (:LINEAR POSITION-WHEN-MEMBER))
 (40 40 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (36 12 (:DEFINITION NATP))
 (20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (10 8 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 )
(FA-TABLE-TO-ALV
 (1 1 (:TYPE-PRESCRIPTION TRUE-LISTP))
 )
(FA-TABLE-TO-ALV-CORRECTNESS-1
 (15 3 (:DEFINITION LEN))
 (10 7 (:REWRITE DEFAULT-+-2))
 (9 1 (:REWRITE NFIX-WHEN-ZP))
 (7 7 (:REWRITE DEFAULT-+-1))
 (7 1 (:REWRITE ZP-OPEN))
 (4 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-<-2))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(FA-TABLE-TO-ALV-CORRECTNESS-2
 (76 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (40 2 (:DEFINITION TRUE-LISTP))
 (40 1 (:DEFINITION NTHCDR))
 (36 4 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (24 4 (:DEFINITION STRING-LISTP))
 (20 20 (:TYPE-PRESCRIPTION STRING-LISTP))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (8 1 (:REWRITE BOOLEAN-LISTP-WHEN-NOT-CONSP))
 (7 7 (:REWRITE DEFAULT-CDR))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:REWRITE SET::IN-SET))
 (4 4 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (1 1 (:DEFINITION MAKE-LIST-AC))
 )
(FA-TABLE-TO-ALV-CORRECTNESS-3
 (129 6 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (76 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (54 2 (:DEFINITION NTH))
 (40 2 (:DEFINITION TRUE-LISTP))
 (40 1 (:DEFINITION NTHCDR))
 (36 4 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (36 2 (:REWRITE LEN-OF-NTHCDR))
 (32 9 (:REWRITE NFIX-WHEN-ZP))
 (30 6 (:DEFINITION LEN))
 (30 1 (:REWRITE LEN-OF-MAKE-LIST-AC))
 (25 19 (:REWRITE DEFAULT-+-2))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (24 4 (:DEFINITION STRING-LISTP))
 (22 1 (:REWRITE FA-TABLE-TO-ALV-HELPER-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION STRING-LISTP))
 (19 19 (:REWRITE DEFAULT-+-1))
 (19 4 (:REWRITE ZP-OPEN))
 (16 13 (:REWRITE DEFAULT-<-2))
 (15 15 (:REWRITE DEFAULT-CDR))
 (13 13 (:REWRITE DEFAULT-<-1))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:REWRITE SET::IN-SET))
 (4 4 (:REWRITE DEFAULT-CAR))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:DEFINITION MAKE-LIST-AC))
 )
(L6-TO-L4-FS-HELPER
 (8607 11 (:DEFINITION ACL2-COUNT))
 (7483 156 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (6933 10 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (6852 10 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (6104 64 (:DEFINITION INTEGER-LISTP))
 (6056 130 (:DEFINITION NAT-LISTP))
 (5832 5 (:DEFINITION RATIONAL-LISTP))
 (4311 234 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (3504 101 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (3226 336 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (2271 182 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1870 316 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (1201 130 (:DEFINITION NATP))
 (680 680 (:REWRITE DEFAULT-CAR))
 (614 130 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (557 557 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (557 557 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (473 449 (:REWRITE DEFAULT-CDR))
 (336 336 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (336 336 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (227 85 (:REWRITE DEFAULT-+-2))
 (192 186 (:REWRITE DEFAULT-<-1))
 (188 186 (:REWRITE DEFAULT-<-2))
 (156 156 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (148 20 (:DEFINITION LEN))
 (145 85 (:REWRITE DEFAULT-+-1))
 (139 18 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (116 11 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (112 60 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (112 8 (:REWRITE LENGTH-WHEN-STRINGP))
 (108 9 (:DEFINITION SYMBOL-LISTP))
 (80 16 (:REWRITE COMMUTATIVITY-OF-+))
 (64 16 (:DEFINITION INTEGER-ABS))
 (52 52 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (33 15 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (24 24 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (24 16 (:REWRITE STR::CONSP-OF-EXPLODE))
 (20 10 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (19 19 (:REWRITE FOLD-CONSTS-IN-+))
 (18 18 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (16 16 (:REWRITE DEFAULT-UNARY-MINUS))
 (16 8 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (16 4 (:REWRITE L2-CREATE-CORRECTNESS-1-LEMMA-2))
 (12 6 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (10 10 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (8 8 (:REWRITE DEFAULT-REALPART))
 (8 8 (:REWRITE DEFAULT-NUMERATOR))
 (8 8 (:REWRITE DEFAULT-IMAGPART))
 (8 8 (:REWRITE DEFAULT-DENOMINATOR))
 (8 4 (:DEFINITION L2-FS-P))
 (7 7 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION L2-FS-P))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:LINEAR ACL2-COUNT-OF-CONSP-POSITIVE))
 (1 1 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 )
(L6-TO-L4-FS)
(L6-TO-L4-FS-CORRECTNESS-1
 (60 2 (:DEFINITION L6-FS-P))
 (38 1 (:DEFINITION L6-TO-L4-FS-HELPER))
 (36 2 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (30 4 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (22 2 (:DEFINITION SYMBOL-LISTP))
 (14 14 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (10 10 (:TYPE-PRESCRIPTION L6-REGULAR-FILE-ENTRY-P))
 (8 8 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE DEFAULT-CAR))
 (7 3 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (4 2 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(L6-TO-L4-FS-CORRECTNESS-2
 (60 2 (:DEFINITION L6-FS-P))
 (38 1 (:DEFINITION L6-TO-L4-FS-HELPER))
 (36 2 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (30 4 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (22 2 (:DEFINITION SYMBOL-LISTP))
 (15 3 (:DEFINITION LEN))
 (14 14 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (11 11 (:REWRITE DEFAULT-CDR))
 (10 10 (:TYPE-PRESCRIPTION L6-REGULAR-FILE-ENTRY-P))
 (8 8 (:REWRITE DEFAULT-CAR))
 (7 3 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (6 3 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (4 2 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (3 3 (:REWRITE DEFAULT-+-1))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-<-2))
 )
(L6-LIST-ALL-OK-INDICES
 (8607 11 (:DEFINITION ACL2-COUNT))
 (7483 156 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (6933 10 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (6852 10 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (6104 64 (:DEFINITION INTEGER-LISTP))
 (6056 130 (:DEFINITION NAT-LISTP))
 (5832 5 (:DEFINITION RATIONAL-LISTP))
 (4311 234 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (3504 101 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (3226 336 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (2271 182 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1870 316 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (897 897 (:REWRITE DEFAULT-CAR))
 (808 106 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (674 650 (:REWRITE DEFAULT-CDR))
 (667 50 (:DEFINITION SYMBOL-LISTP))
 (614 130 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (557 557 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (557 557 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (336 336 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (336 336 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (252 28 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (238 14 (:DEFINITION TRUE-LISTP))
 (229 86 (:REWRITE DEFAULT-+-2))
 (178 175 (:REWRITE DEFAULT-<-1))
 (177 175 (:REWRITE DEFAULT-<-2))
 (168 28 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (168 28 (:DEFINITION STRING-LISTP))
 (156 156 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (153 21 (:DEFINITION LEN))
 (146 86 (:REWRITE DEFAULT-+-1))
 (144 60 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (140 140 (:TYPE-PRESCRIPTION STRING-LISTP))
 (126 63 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (112 60 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (112 8 (:REWRITE LENGTH-WHEN-STRINGP))
 (100 100 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (80 16 (:REWRITE COMMUTATIVITY-OF-+))
 (64 16 (:DEFINITION INTEGER-ABS))
 (56 56 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (56 28 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (54 18 (:DEFINITION BINARY-APPEND))
 (52 52 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (28 28 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (28 28 (:REWRITE SET::IN-SET))
 (24 24 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (24 16 (:REWRITE STR::CONSP-OF-EXPLODE))
 (22 22 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (19 19 (:REWRITE FOLD-CONSTS-IN-+))
 (16 16 (:REWRITE DEFAULT-UNARY-MINUS))
 (16 8 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (16 4 (:REWRITE L2-CREATE-CORRECTNESS-1-LEMMA-2))
 (12 6 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (10 10 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (8 8 (:REWRITE DEFAULT-REALPART))
 (8 8 (:REWRITE DEFAULT-NUMERATOR))
 (8 8 (:REWRITE DEFAULT-IMAGPART))
 (8 8 (:REWRITE DEFAULT-DENOMINATOR))
 (8 4 (:DEFINITION L2-FS-P))
 (4 4 (:TYPE-PRESCRIPTION L2-FS-P))
 (2 2 (:LINEAR ACL2-COUNT-OF-CONSP-POSITIVE))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 )
(L6-LIST-ALL-OK-INDICES-CORRECTNESS-2
 (288 9 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (261 9 (:DEFINITION L6-FS-P))
 (135 18 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (99 9 (:DEFINITION SYMBOL-LISTP))
 (72 72 (:TYPE-PRESCRIPTION L6-FS-P))
 (59 59 (:REWRITE DEFAULT-CDR))
 (51 51 (:REWRITE DEFAULT-CAR))
 (30 6 (:DEFINITION LEN))
 (27 9 (:DEFINITION BINARY-APPEND))
 (18 18 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (18 9 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (12 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:TYPE-PRESCRIPTION LEN))
 (6 6 (:REWRITE DEFAULT-+-1))
 )
(L6-LIST-ALL-OK-INDICES-CORRECTNESS-3
 (530 70 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (451 32 (:DEFINITION SYMBOL-LISTP))
 (167 167 (:REWRITE DEFAULT-CAR))
 (156 156 (:REWRITE DEFAULT-CDR))
 (86 43 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (66 22 (:DEFINITION BINARY-APPEND))
 (65 13 (:DEFINITION LEN))
 (64 64 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (61 23 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (40 2 (:DEFINITION TRUE-LISTP))
 (28 4 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (26 13 (:REWRITE DEFAULT-+-2))
 (25 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (20 20 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (19 19 (:TYPE-PRESCRIPTION LEN))
 (19 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (18 3 (:DEFINITION STRING-LISTP))
 (17 17 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (15 15 (:TYPE-PRESCRIPTION STRING-LISTP))
 (14 14 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (14 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (13 13 (:REWRITE DEFAULT-+-1))
 (12 12 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(L6-LIST-ALL-OK-INDICES-CORRECTNESS-4
 (8997 63 (:DEFINITION NAT-LISTP))
 (7409 49 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 1))
 (4530 120 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (3765 60 (:DEFINITION INTEGER-LISTP))
 (3630 120 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (3120 123 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (1991 123 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (1849 447 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (1821 241 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (1438 116 (:DEFINITION SYMBOL-LISTP))
 (1226 1226 (:REWRITE DEFAULT-CAR))
 (1101 1101 (:REWRITE DEFAULT-CDR))
 (859 63 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (637 637 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (497 497 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (497 497 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (437 437 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (432 432 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (415 83 (:DEFINITION LEN))
 (268 134 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (232 232 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (166 83 (:REWRITE DEFAULT-+-2))
 (130 128 (:REWRITE DEFAULT-<-1))
 (128 128 (:REWRITE DEFAULT-<-2))
 (120 120 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (120 60 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (83 83 (:TYPE-PRESCRIPTION LEN))
 (83 83 (:REWRITE DEFAULT-+-1))
 (78 28 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (51 17 (:DEFINITION BINARY-APPEND))
 (27 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (14 14 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (10 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE NAT-LISTP-OF-CONS))
 )
(L6-LIST-ALL-OK-INDICES-CORRECTNESS-5
 (18583 102 (:DEFINITION NAT-LISTP))
 (11795 38 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (11684 40 (:DEFINITION L3-FS-P))
 (9431 178 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (8322 89 (:DEFINITION INTEGER-LISTP))
 (8084 178 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (7499 187 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (5902 782 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (5498 189 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (4465 386 (:DEFINITION SYMBOL-LISTP))
 (4150 650 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (3646 3646 (:REWRITE DEFAULT-CAR))
 (1661 104 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1414 1414 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (818 409 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (774 772 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (730 730 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (730 730 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (648 648 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (638 638 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (303 303 (:TYPE-PRESCRIPTION L3-FS-P))
 (298 149 (:REWRITE DEFAULT-+-2))
 (191 189 (:REWRITE DEFAULT-<-1))
 (189 189 (:REWRITE DEFAULT-<-2))
 (178 178 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (178 89 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (149 149 (:TYPE-PRESCRIPTION LEN))
 (149 149 (:REWRITE DEFAULT-+-1))
 (121 45 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (33 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (26 26 (:TYPE-PRESCRIPTION NATP))
 (17 17 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (10 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(L6-STRICTER-FS-P)
(L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-1
 (2166 72 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1196 36 (:DEFINITION NTH))
 (770 80 (:REWRITE NFIX-WHEN-NATP))
 (551 80 (:REWRITE NFIX-WHEN-ZP))
 (549 7 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (510 102 (:DEFINITION LEN))
 (507 89 (:REWRITE ZP-OPEN))
 (460 3 (:DEFINITION NAT-LISTP))
 (426 271 (:REWRITE DEFAULT-<-1))
 (393 271 (:REWRITE DEFAULT-<-2))
 (375 7 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (292 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (262 160 (:REWRITE DEFAULT-+-2))
 (231 33 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (181 21 (:DEFINITION NATP))
 (170 148 (:REWRITE DEFAULT-CDR))
 (160 160 (:REWRITE DEFAULT-+-1))
 (160 8 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (120 18 (:DEFINITION NFIX))
 (108 12 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (101 74 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (92 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (84 21 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (44 4 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-1))
 (41 41 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (41 41 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (40 40 (:LINEAR POSITION-WHEN-MEMBER))
 (40 40 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (40 8 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (33 11 (:REWRITE COMMUTATIVITY-OF-+))
 (27 14 (:REWRITE DEFAULT-CAR))
 (27 9 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (24 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (22 22 (:TYPE-PRESCRIPTION NAT-LISTP))
 (21 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FAT32-BUILD-INDEX-LIST))
 (21 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (20 8 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (20 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (19 19 (:TYPE-PRESCRIPTION NATP))
 (19 19 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (13 13 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (12 12 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (11 11 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (9 3 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (8 8 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (8 8 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (8 8 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE FAT32-ENTRY-MASK-CORRECTNESS-1))
 )
(L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-2
 (128 4 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (116 4 (:DEFINITION L6-FS-P))
 (60 8 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (44 4 (:DEFINITION SYMBOL-LISTP))
 (32 32 (:TYPE-PRESCRIPTION L6-FS-P))
 (28 28 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (15 15 (:REWRITE DEFAULT-CDR))
 (15 3 (:DEFINITION LEN))
 (12 12 (:REWRITE DEFAULT-CAR))
 (10 6 (:REWRITE DEFAULT-<-1))
 (9 6 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (8 4 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (8 2 (:REWRITE INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (6 3 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE DEFAULT-+-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-3
 (65738 688 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (63353 322 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (52243 463 (:DEFINITION NAT-LISTP))
 (45749 129 (:DEFINITION INTEGER-LISTP))
 (32653 662 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (32219 45 (:DEFINITION NTH))
 (31349 135 (:REWRITE ZP-OPEN))
 (30587 45 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-3))
 (30523 164 (:DEFINITION L3-FS-P))
 (29753 588 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (20979 224 (:REWRITE L4-LIST-ALL-INDICES-CORRECTNESS-1))
 (20642 113 (:DEFINITION L4-FS-P))
 (16839 2232 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (12531 1111 (:DEFINITION SYMBOL-LISTP))
 (10474 1285 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (8941 8941 (:REWRITE DEFAULT-CDR))
 (8879 8879 (:REWRITE DEFAULT-CAR))
 (8824 32 (:REWRITE L4-INDICES-MARKED-P-OF-LIST-ALL-INDICES))
 (8048 504 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (7118 90 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (3814 90 (:REWRITE NFIX-WHEN-NATP))
 (2579 2579 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (2284 1142 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (2224 2222 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (1996 1996 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1996 1996 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1615 1615 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1592 1592 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1364 2 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (1287 1163 (:REWRITE DEFAULT-<-2))
 (1261 1163 (:REWRITE DEFAULT-<-1))
 (1135 1135 (:TYPE-PRESCRIPTION LEN))
 (1081 1081 (:TYPE-PRESCRIPTION L3-FS-P))
 (977 511 (:REWRITE DEFAULT-+-2))
 (904 90 (:REWRITE NFIX-WHEN-ZP))
 (675 45 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-1))
 (538 129 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (511 511 (:REWRITE DEFAULT-+-1))
 (322 322 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (180 180 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (175 39 (:DEFINITION NFIX))
 (165 63 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (129 129 (:LINEAR POSITION-WHEN-MEMBER))
 (129 129 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (125 37 (:DEFINITION BINARY-APPEND))
 (113 113 (:TYPE-PRESCRIPTION L4-FS-P))
 (90 90 (:TYPE-PRESCRIPTION ZP))
 (90 90 (:TYPE-PRESCRIPTION NFIX))
 (70 70 (:TYPE-PRESCRIPTION NATP))
 (68 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (66 9 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (50 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (33 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (32 6 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (22 22 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (19 19 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (16 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (10 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (9 9 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (6 6 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-4
 (350569 2564 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (341805 1088 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (290882 472 (:DEFINITION INTEGER-LISTP))
 (271600 2125 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (171685 1486 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (167252 1532 (:DEFINITION L3-FS-P))
 (162576 94 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-3))
 (152116 94 (:DEFINITION NTH))
 (150300 282 (:REWRITE ZP-OPEN))
 (80236 10637 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (65627 12052 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (59226 5313 (:DEFINITION SYMBOL-LISTP))
 (52287 52269 (:REWRITE DEFAULT-CDR))
 (49306 49287 (:REWRITE DEFAULT-CAR))
 (32208 32208 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (27320 188 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (20344 188 (:REWRITE NFIX-WHEN-NATP))
 (17053 3373 (:DEFINITION LEN))
 (12031 12031 (:TYPE-PRESCRIPTION L3-FS-P))
 (10736 5368 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (10638 10626 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (8540 8540 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8508 8508 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7312 7272 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (7272 7272 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6840 3467 (:REWRITE DEFAULT-+-2))
 (5895 5665 (:REWRITE DEFAULT-<-2))
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 (4771 4771 (:TYPE-PRESCRIPTION LEN))
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 (1898 188 (:REWRITE NFIX-WHEN-ZP))
 (1410 94 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-1))
 (1088 1088 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (944 472 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (400 94 (:DEFINITION NFIX))
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 (376 376 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (270 270 (:LINEAR POSITION-WHEN-MEMBER))
 (270 270 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (188 188 (:TYPE-PRESCRIPTION ZP))
 (188 188 (:TYPE-PRESCRIPTION NFIX))
 (121 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (116 116 (:TYPE-PRESCRIPTION NATP))
 (90 18 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (84 12 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (56 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (35 7 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (32 8 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (29 29 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (26 26 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (16 16 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (8 8 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(L6-STRICTER-FS-P-CORRECTNESS-1
 (345 46 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (316 16 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (253 23 (:DEFINITION SYMBOL-LISTP))
 (228 6 (:DEFINITION L6-TO-L4-FS-HELPER))
 (176 4 (:DEFINITION L4-COLLECT-ALL-INDEX-LISTS))
 (161 161 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (159 3 (:DEFINITION L6-LIST-ALL-OK-INDICES))
 (140 7 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (132 4 (:DEFINITION L4-REGULAR-FILE-ENTRY-P))
 (128 128 (:REWRITE DEFAULT-CDR))
 (124 5 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (117 117 (:REWRITE DEFAULT-CAR))
 (55 5 (:DEFINITION MEMBER-EQUAL))
 (49 21 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (47 13 (:DEFINITION BINARY-APPEND))
 (46 46 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (46 23 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (40 10 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (21 9 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 1))
 (15 3 (:DEFINITION LEN))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (7 7 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 3 (:REWRITE DEFAULT-+-2))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION LEN))
 (3 3 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (3 3 (:REWRITE DEFAULT-+-1))
 )
(L6-STRICTER-FS-P-CORRECTNESS-2)
(L6-TO-L4-FS-CORRECTNESS-3
 (7951 59 (:DEFINITION NAT-LISTP))
 (6539 46 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 1))
 (3995 112 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (3281 56 (:DEFINITION INTEGER-LISTP))
 (3155 112 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2690 115 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (1782 419 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (1629 115 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (1521 201 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (1218 96 (:DEFINITION SYMBOL-LISTP))
 (1088 1088 (:REWRITE DEFAULT-CAR))
 (969 969 (:REWRITE DEFAULT-CDR))
 (805 59 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (595 595 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (465 465 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (465 465 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (409 409 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (404 404 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (390 78 (:DEFINITION LEN))
 (228 114 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (192 192 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (156 78 (:REWRITE DEFAULT-+-2))
 (122 120 (:REWRITE DEFAULT-<-1))
 (120 120 (:REWRITE DEFAULT-<-2))
 (112 112 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (112 56 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (87 29 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (78 78 (:TYPE-PRESCRIPTION LEN))
 (78 78 (:REWRITE DEFAULT-+-1))
 (71 25 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (58 58 (:TYPE-PRESCRIPTION L6-STRICTER-FS-P))
 (42 14 (:DEFINITION BINARY-APPEND))
 (27 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (10 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (5 5 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE NAT-LISTP-OF-CONS))
 )
(L6-STAT-CORRECTNESS-1-LEMMA-1
 (40077 1982 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (14266 1700 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (10457 850 (:DEFINITION SYMBOL-LISTP))
 (6701 493 (:DEFINITION MEMBER-EQUAL))
 (5912 5903 (:REWRITE DEFAULT-CDR))
 (3944 986 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (2544 848 (:DEFINITION BINARY-APPEND))
 (1726 863 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (1700 1700 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (1360 272 (:DEFINITION LEN))
 (986 986 (:REWRITE SUBSETP-MEMBER . 4))
 (986 986 (:REWRITE SUBSETP-MEMBER . 3))
 (986 986 (:REWRITE SUBSETP-MEMBER . 2))
 (986 986 (:REWRITE SUBSETP-MEMBER . 1))
 (544 272 (:REWRITE DEFAULT-+-2))
 (502 502 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (429 195 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (272 272 (:REWRITE DEFAULT-+-1))
 )
(L6-STAT-CORRECTNESS-1-LEMMA-2
 (911 11 (:DEFINITION NAT-LISTP))
 (720 96 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (667 14 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (562 14 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (545 7 (:DEFINITION INTEGER-LISTP))
 (528 48 (:DEFINITION SYMBOL-LISTP))
 (514 42 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (356 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (351 351 (:REWRITE DEFAULT-CAR))
 (337 337 (:REWRITE DEFAULT-CDR))
 (302 18 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (180 13 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (96 96 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (96 48 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (59 59 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (59 59 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (42 42 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (39 39 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (38 1 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (35 15 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (33 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (29 1 (:DEFINITION L3-FS-P))
 (20 10 (:REWRITE DEFAULT-+-2))
 (20 8 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (14 14 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (14 7 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (11 11 (:REWRITE DEFAULT-<-2))
 (11 11 (:REWRITE DEFAULT-<-1))
 (10 10 (:TYPE-PRESCRIPTION LEN))
 (10 10 (:REWRITE DEFAULT-+-1))
 (10 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION L3-FS-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (6 1 (:REWRITE L6-TO-L4-FS-CORRECTNESS-3))
 (3 1 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (2 2 (:TYPE-PRESCRIPTION L6-STRICTER-FS-P))
 (2 2 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(L6-STAT-CORRECTNESS-1-LEMMA-3
 (17029 40 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (16743 79 (:DEFINITION L3-FS-P))
 (6642 154 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
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(L6-STAT-CORRECTNESS-1-LEMMA-4
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(L6-STAT-CORRECTNESS-1-LEMMA-5
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(L6-STAT-CORRECTNESS-1-LEMMA-6
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(L6-STAT-CORRECTNESS-1-LEMMA-7
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(L6-STAT-CORRECTNESS-1-LEMMA-8
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(L6-STAT-CORRECTNESS-1-LEMMA-9
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(L6-STAT-CORRECTNESS-1-LEMMA-10
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(L6-STAT-CORRECTNESS-1-LEMMA-11
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(L6-STAT-CORRECTNESS-1-LEMMA-12
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(L6-STAT-CORRECTNESS-1
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(L6-STAT-CORRECTNESS-2
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 (39 13 (:DEFINITION CHARACTER-LISTP))
 (33 33 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (22 22 (:LINEAR POSITION-WHEN-MEMBER))
 (22 22 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (21 21 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (21 21 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (21 7 (:DEFINITION BINARY-APPEND))
 (16 16 (:TYPE-PRESCRIPTION NATP))
 (14 14 (:TYPE-PRESCRIPTION NFIX))
 (14 14 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (14 14 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (14 7 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (4 4 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 )
(L6-RDCHS-CORRECTNESS-1-LEMMA-1
 (614 1 (:DEFINITION L3-STAT))
 (440 12 (:DEFINITION L6-FS-P))
 (372 4 (:DEFINITION L6-STAT))
 (366 14 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (342 1 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (306 102 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (275 25 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (234 2 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (207 3 (:DEFINITION L6-STRICTER-FS-P))
 (206 13 (:DEFINITION SYMBOL-LISTP))
 (192 1 (:REWRITE L6-STAT-CORRECTNESS-2 . 1))
 (168 4 (:REWRITE ZP-OPEN))
 (162 1 (:DEFINITION NTH))
 (159 7 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (152 131 (:REWRITE DEFAULT-CDR))
 (149 10 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (145 5 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (144 134 (:REWRITE DEFAULT-CAR))
 (134 134 (:TYPE-PRESCRIPTION LEN))
 (125 2 (:REWRITE NFIX-WHEN-ZP))
 (118 1 (:DEFINITION UNMAKE-BLOCKS))
 (117 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (113 22 (:DEFINITION ASSOC-EQUAL))
 (104 104 (:TYPE-PRESCRIPTION ZP))
 (96 1 (:REWRITE L6-STAT-CORRECTNESS-1 . 1))
 (93 9 (:DEFINITION MEMBER-EQUAL))
 (85 3 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (80 8 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (80 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (72 9 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-3))
 (68 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (65 5 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (61 1 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-7))
 (56 11 (:REWRITE DEFAULT-<-1))
 (56 2 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (53 2 (:REWRITE TAKE-OF-LEN-FREE))
 (52 2 (:REWRITE NFIX-WHEN-NATP))
 (49 11 (:REWRITE DEFAULT-<-2))
 (48 8 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (46 5 (:REWRITE L6-FS-P-ASSOC))
 (41 41 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (40 1 (:DEFINITION TAKE))
 (38 1 (:DEFINITION L6-TO-L4-FS-HELPER))
 (32 8 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (31 1 (:DEFINITION NATP))
 (30 6 (:DEFINITION LEN))
 (29 13 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (29 10 (:REWRITE DEFAULT-+-1))
 (28 28 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (28 2 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-4))
 (28 1 (:DEFINITION NFIX))
 (26 10 (:REWRITE DEFAULT-+-2))
 (18 18 (:REWRITE SUBSETP-MEMBER . 2))
 (18 18 (:REWRITE SUBSETP-MEMBER . 1))
 (17 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (15 1 (:DEFINITION BLOCK-LISTP))
 (13 1 (:REWRITE COMMUTATIVITY-OF-+))
 (11 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (9 1 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-8))
 (8 8 (:TYPE-PRESCRIPTION NAT-LISTP))
 (8 8 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (7 7 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (7 7 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (7 3 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-10))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3 3 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (3 1 (:DEFINITION CHARACTER-LISTP))
 (3 1 (:DEFINITION BINARY-APPEND))
 (2 2 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (2 2 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (2 2 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (1 1 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 )
(L6-RDCHS-CORRECTNESS-1-LEMMA-2
 (5480 10 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (3913 184 (:REWRITE DEFAULT-<-1))
 (3910 142 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (3704 29 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (3414 20 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2887 5 (:DEFINITION RATIONAL-LISTP))
 (2852 20 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (2746 67 (:DEFINITION NAT-LISTP))
 (2710 31 (:DEFINITION INTEGER-LISTP))
 (2511 1 (:DEFINITION ACL2-NUMBER-LISTP))
 (2037 679 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1824 103 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (1760 110 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (1380 43 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (1231 20 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1157 130 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1118 39 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1059 8 (:DEFINITION UNMAKE-BLOCKS))
 (1041 151 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (1013 29 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (994 7 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (982 982 (:REWRITE DEFAULT-CDR))
 (936 936 (:REWRITE DEFAULT-CAR))
 (879 38 (:REWRITE ZP-OPEN))
 (874 10 (:DEFINITION NTH))
 (715 65 (:DEFINITION MEMBER-EQUAL))
 (700 24 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
 (687 29 (:DEFINITION BLOCK-LISTP))
 (659 6 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (604 20 (:REWRITE NFIX-WHEN-ZP))
 (592 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (445 89 (:DEFINITION ASSOC-EQUAL))
 (381 77 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (346 184 (:REWRITE DEFAULT-<-2))
 (338 26 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (320 8 (:DEFINITION BINARY-APPEND))
 (312 78 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (273 273 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (270 27 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (268 268 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (268 268 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (246 16 (:REWRITE TAKE-OF-LEN-FREE))
 (240 20 (:REWRITE NFIX-WHEN-NATP))
 (216 8 (:DEFINITION TAKE))
 (207 117 (:REWRITE DEFAULT-+-2))
 (175 175 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (175 175 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (163 77 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (142 142 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (138 29 (:DEFINITION CHARACTER-LISTP))
 (130 130 (:REWRITE SUBSETP-MEMBER . 2))
 (130 130 (:REWRITE SUBSETP-MEMBER . 1))
 (124 117 (:REWRITE DEFAULT-+-1))
 (121 10 (:DEFINITION NFIX))
 (97 97 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (95 95 (:LINEAR POSITION-WHEN-MEMBER))
 (95 95 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (87 37 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (78 78 (:REWRITE SUBSETP-MEMBER . 4))
 (78 78 (:REWRITE SUBSETP-MEMBER . 3))
 (39 39 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (31 8 (:REWRITE COMMUTATIVITY-OF-+))
 (29 29 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (27 27 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (25 25 (:TYPE-PRESCRIPTION NATP))
 (20 20 (:TYPE-PRESCRIPTION NFIX))
 (20 20 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (18 18 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (2 1 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 )
(L6-RDCHS-CORRECTNESS-1-LEMMA-3
 (1534 87 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (1518 506 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (946 33 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (573 51 (:DEFINITION MEMBER-EQUAL))
 (506 506 (:REWRITE DEFAULT-CAR))
 (470 470 (:REWRITE DEFAULT-CDR))
 (270 54 (:DEFINITION ASSOC-EQUAL))
 (264 66 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (234 18 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (211 211 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (150 10 (:DEFINITION BLOCK-LISTP))
 (129 60 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (102 102 (:REWRITE SUBSETP-MEMBER . 2))
 (102 102 (:REWRITE SUBSETP-MEMBER . 1))
 (80 16 (:DEFINITION LEN))
 (73 31 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (66 66 (:REWRITE SUBSETP-MEMBER . 4))
 (66 66 (:REWRITE SUBSETP-MEMBER . 3))
 (33 33 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (32 16 (:REWRITE DEFAULT-+-2))
 (30 10 (:DEFINITION CHARACTER-LISTP))
 (16 16 (:REWRITE DEFAULT-+-1))
 (10 10 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 )
(L6-RDCHS-CORRECTNESS-1
 (4551 51 (:DEFINITION L6-STAT))
 (3930 8 (:DEFINITION TAKE))
 (3359 119 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (3048 1054 (:REWRITE DEFAULT-CDR))
 (2353 216 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (2326 4 (:REWRITE CAR-OF-NTHCDR))
 (1730 109 (:DEFINITION SYMBOL-LISTP))
 (1730 8 (:DEFINITION NTH))
 (1576 16 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1520 25 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
 (1402 16 (:REWRITE TAKE-OF-LEN-FREE))
 (1309 918 (:REWRITE DEFAULT-CAR))
 (1161 387 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (984 93 (:DEFINITION MEMBER-EQUAL))
 (928 4 (:REWRITE CONSP-OF-NTHCDR))
 (802 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (745 55 (:DEFINITION LEN))
 (745 3 (:REWRITE LEN-OF-NTHCDR))
 (738 4 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (735 6 (:REWRITE STR::CONSP-OF-EXPLODE))
 (676 52 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (583 116 (:DEFINITION ASSOC-EQUAL))
 (571 4 (:DEFINITION NTHCDR))
 (563 52 (:REWRITE L6-FS-P-ASSOC))
 (527 1 (:DEFINITION L3-STAT))
 (503 4 (:DEFINITION UNMAKE-BLOCKS))
 (501 2 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (472 63 (:REWRITE ZP-OPEN))
 (428 428 (:TYPE-PRESCRIPTION ZP))
 (427 85 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (418 8 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (387 41 (:REWRITE NFIX-WHEN-ZP))
 (378 2 (:REWRITE L6-STAT-CORRECTNESS-2 . 1))
 (328 82 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (231 28 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (227 125 (:REWRITE DEFAULT-<-2))
 (226 20 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (224 109 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (222 222 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (222 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (210 8 (:DEFINITION BLOCK-LISTP))
 (200 125 (:REWRITE DEFAULT-<-1))
 (186 186 (:REWRITE SUBSETP-MEMBER . 2))
 (186 186 (:REWRITE SUBSETP-MEMBER . 1))
 (185 114 (:REWRITE DEFAULT-+-2))
 (164 22 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (158 41 (:REWRITE NFIX-WHEN-NATP))
 (139 114 (:REWRITE DEFAULT-+-1))
 (137 8 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (124 3 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (123 4 (:DEFINITION BINARY-APPEND))
 (113 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (103 1 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (89 8 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (82 82 (:REWRITE SUBSETP-MEMBER . 4))
 (82 82 (:REWRITE SUBSETP-MEMBER . 3))
 (80 8 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (76 2 (:DEFINITION L6-TO-L4-FS-HELPER))
 (73 7 (:DEFINITION NFIX))
 (72 9 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-3))
 (55 1 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-7))
 (44 44 (:LINEAR POSITION-WHEN-MEMBER))
 (44 44 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (42 8 (:DEFINITION CHARACTER-LISTP))
 (41 41 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (40 20 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (39 30 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (29 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (28 28 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (28 28 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (28 2 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-4))
 (22 22 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (14 6 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (9 1 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-8))
 (8 8 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (8 8 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (8 8 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (8 8 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (8 8 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (5 5 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-10))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 )
(L6-WRCHS-RETURNS-FS-LEMMA-1
 (591 74 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (488 37 (:DEFINITION SYMBOL-LISTP))
 (207 207 (:REWRITE DEFAULT-CAR))
 (161 65 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (134 134 (:REWRITE DEFAULT-CDR))
 (92 46 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (74 74 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (51 17 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (17 17 (:TYPE-PRESCRIPTION NULL))
 (17 17 (:DEFINITION NULL))
 )
(L6-WRCHS-RETURNS-FS
 (3323 17 (:DEFINITION UNMAKE-BLOCKS-WITHOUT-FEASIBILITY))
 (2761 911 (:REWRITE DEFAULT-CDR))
 (2523 17 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (1805 34 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1365 455 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1292 17 (:DEFINITION NTH))
 (1262 572 (:REWRITE DEFAULT-<-2))
 (1255 801 (:REWRITE DEFAULT-CAR))
 (1064 7 (:DEFINITION SET-INDICES))
 (1038 54 (:REWRITE NFIX-WHEN-ZP))
 (964 104 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (950 34 (:REWRITE UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-3))
 (854 572 (:REWRITE DEFAULT-<-1))
 (741 405 (:REWRITE DEFAULT-+-2))
 (722 32 (:DEFINITION TAKE))
 (680 85 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (677 62 (:REWRITE TAKE-OF-LEN-FREE))
 (637 41 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (595 119 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (528 32 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (510 51 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (465 41 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (421 405 (:REWRITE DEFAULT-+-1))
 (345 15 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (322 7 (:DEFINITION UPDATE-NTH))
 (315 35 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (307 41 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (300 60 (:DEFINITION ASSOC-EQUAL))
 (261 17 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (252 50 (:DEFINITION CHARACTER-LISTP))
 (229 24 (:DEFINITION BINARY-APPEND))
 (227 32 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (221 17 (:DEFINITION NFIX))
 (210 70 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (201 201 (:LINEAR POSITION-WHEN-MEMBER))
 (201 201 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (196 14 (:DEFINITION MAKE-LIST-AC))
 (192 32 (:REWRITE STR::LEN-OF-MAKE-CHARACTER-LIST))
 (182 76 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (175 175 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (165 15 (:REWRITE CONSP-OF-TAKE))
 (156 12 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (140 14 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-2))
 (119 119 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (106 44 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (96 12 (:DEFINITION MEMBER-EQUAL))
 (91 91 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (85 17 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (81 81 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (75 75 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (72 12 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (70 70 (:TYPE-PRESCRIPTION NULL))
 (70 70 (:DEFINITION NULL))
 (62 41 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (62 41 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (60 60 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (45 45 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (45 30 (:REWRITE STR::CONSP-OF-EXPLODE))
 (42 21 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (36 12 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (35 7 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (34 34 (:TYPE-PRESCRIPTION NFIX))
 (34 34 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (30 30 (:TYPE-PRESCRIPTION TAKE))
 (30 15 (:REWRITE DEFAULT-UNARY-MINUS))
 (28 28 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (26 26 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (24 24 (:TYPE-PRESCRIPTION L6-STRICTER-FS-P))
 (24 24 (:TYPE-PRESCRIPTION L6-LIST-ALL-OK-INDICES-CORRECTNESS-2))
 (24 24 (:REWRITE SUBSETP-MEMBER . 2))
 (24 24 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (13 13 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-5
 (5919 1973 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2736 255 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (2103 123 (:DEFINITION SYMBOL-LISTP))
 (1033 1031 (:REWRITE DEFAULT-CAR))
 (806 685 (:REWRITE DEFAULT-CDR))
 (294 147 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (246 246 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (159 53 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (141 47 (:REWRITE L6-FS-P-ASSOC))
 (131 45 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (130 52 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (120 24 (:DEFINITION LEN))
 (78 26 (:DEFINITION BINARY-APPEND))
 (48 24 (:REWRITE DEFAULT-+-2))
 (47 21 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-10))
 (39 39 (:TYPE-PRESCRIPTION NULL))
 (39 39 (:DEFINITION NULL))
 (28 28 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE DEFAULT-+-1))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-6
 (1150 1 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (1148 3 (:DEFINITION L3-FS-P))
 (802 6 (:DEFINITION NAT-LISTP))
 (380 46 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (377 10 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (316 5 (:DEFINITION INTEGER-LISTP))
 (302 10 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (296 11 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (201 201 (:REWRITE DEFAULT-CAR))
 (185 37 (:DEFINITION ASSOC-EQUAL))
 (179 179 (:REWRITE DEFAULT-CDR))
 (149 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (142 7 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (132 16 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (130 4 (:DEFINITION L6-FS-P))
 (97 8 (:DEFINITION SYMBOL-LISTP))
 (97 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (96 32 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (86 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (59 3 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (50 10 (:DEFINITION LEN))
 (43 43 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (43 43 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
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 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-7
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(L6-WRCHS-CORRECTNESS-1-LEMMA-8
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 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-9
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 (1 1 (:DEFINITION MAKE-LIST-AC))
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(L6-WRCHS-CORRECTNESS-1-LEMMA-10
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 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-11
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(L6-WRCHS-CORRECTNESS-1-LEMMA-12
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(L6-WRCHS-CORRECTNESS-1-LEMMA-15
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(L6-WRCHS-CORRECTNESS-1-LEMMA-17
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(L6-WRCHS-CORRECTNESS-1-LEMMA-18
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 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-19
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 (408 408 (:REWRITE SUBSETP-MEMBER . 3))
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 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-20
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 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-21
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 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-22
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(L6-WRCHS-CORRECTNESS-1-LEMMA-23
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 (287 1 (:DEFINITION INTEGER-LISTP))
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 (241 3 (:DEFINITION NAT-LISTP))
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 (122 4 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (119 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (117 117 (:REWRITE DEFAULT-CAR))
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(L6-WRCHS-CORRECTNESS-1-LEMMA-24
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(L6-WRCHS-CORRECTNESS-1-LEMMA-29
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 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-30
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(L6-WRCHS-CORRECTNESS-1-LEMMA-31
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 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-32
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(L6-WRCHS-CORRECTNESS-1-LEMMA-33
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(L6-WRCHS-CORRECTNESS-1-LEMMA-35
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(L6-WRCHS-CORRECTNESS-1-LEMMA-36
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(L6-WRCHS-CORRECTNESS-1-LEMMA-37
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(L6-WRCHS-CORRECTNESS-1-LEMMA-38
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(L6-WRCHS-CORRECTNESS-1-LEMMA-39
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(L6-WRCHS-CORRECTNESS-1-LEMMA-40
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(L6-WRCHS-CORRECTNESS-1-LEMMA-41
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(L6-WRCHS-CORRECTNESS-1-LEMMA-42
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(L6-WRCHS-CORRECTNESS-1-LEMMA-43
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(L6-WRCHS-CORRECTNESS-1-LEMMA-44
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(L6-WRCHS-CORRECTNESS-1-LEMMA-45
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 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (44 44 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (44 44 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (36 36 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (34 28 (:REWRITE DEFAULT-<-2))
 (28 28 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (24 24 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (22 22 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (15 15 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (12 12 (:REWRITE INDICES-MARKED-P-CORRECTNESS-1))
 (6 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-46
 (979 21 (:DEFINITION SUBSETP-EQUAL))
 (705 11 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (476 29 (:DEFINITION MEMBER-EQUAL))
 (195 26 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (189 132 (:REWRITE DEFAULT-CAR))
 (176 8 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (170 134 (:REWRITE DEFAULT-CDR))
 (155 1 (:DEFINITION INDICES-MARKED-P))
 (152 10 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (152 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (152 4 (:DEFINITION L6-TO-L4-FS-HELPER))
 (143 13 (:DEFINITION SYMBOL-LISTP))
 (141 3 (:DEFINITION L4-COLLECT-ALL-INDEX-LISTS))
 (123 11 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (120 10 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (108 2 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (107 11 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (105 105 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (102 11 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (99 3 (:DEFINITION L4-REGULAR-FILE-ENTRY-P))
 (96 3 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (91 91 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (87 3 (:DEFINITION L3-FS-P))
 (85 42 (:REWRITE DEFAULT-<-2))
 (78 1 (:DEFINITION NTH))
 (70 14 (:DEFINITION LEN))
 (60 12 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-4))
 (58 42 (:REWRITE DEFAULT-<-1))
 (54 54 (:REWRITE SUBSETP-MEMBER . 2))
 (54 54 (:REWRITE SUBSETP-MEMBER . 1))
 (49 35 (:REWRITE DEFAULT-+-2))
 (48 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (48 2 (:REWRITE NFIX-WHEN-ZP))
 (42 42 (:REWRITE SUBSETP-TRANS2))
 (42 42 (:REWRITE SUBSETP-TRANS))
 (42 18 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (40 40 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (40 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (38 11 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (38 11 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (35 35 (:REWRITE DEFAULT-+-1))
 (33 33 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-10))
 (30 10 (:REWRITE COMMUTATIVITY-OF-+))
 (30 3 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (28 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (27 11 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (27 9 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (26 26 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (26 13 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (25 1 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-3))
 (24 12 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-3))
 (22 2 (:REWRITE NFIX-WHEN-NATP))
 (22 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (20 20 (:TYPE-PRESCRIPTION ZP))
 (18 6 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (16 4 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (16 2 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (15 3 (:DEFINITION BINARY-APPEND))
 (13 1 (:DEFINITION NFIX))
 (12 12 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (11 11 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (9 9 (:TYPE-PRESCRIPTION NAT-LISTP))
 (9 9 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (9 9 (:REWRITE L6-LIST-ALL-OK-INDICES-CORRECTNESS-3))
 (8 8 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION L4-COLLECT-ALL-INDEX-LISTS))
 (6 6 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 1 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-1))
 (5 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3 3 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (2 2 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (2 2 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-47
 (4545 15 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (3246 584 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (2759 32 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (2425 1218 (:REWRITE DEFAULT-CDR))
 (2295 765 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1922 16 (:DEFINITION NTH))
 (1550 81 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1457 41 (:REWRITE NFIX-WHEN-ZP))
 (1370 50 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (1317 32 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (1281 342 (:REWRITE DEFAULT-<-1))
 (1240 50 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (1221 968 (:REWRITE DEFAULT-CAR))
 (1184 51 (:DEFINITION SUBSETP-EQUAL))
 (1111 590 (:REWRITE DEFAULT-+-2))
 (1084 30 (:DEFINITION L6-FS-P))
 (1035 107 (:DEFINITION MEMBER-EQUAL))
 (1008 48 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (908 342 (:REWRITE DEFAULT-<-2))
 (908 32 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (902 15 (:DEFINITION UNMAKE-BLOCKS))
 (883 46 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (724 90 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (693 32 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (684 40 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (665 133 (:DEFINITION ASSOC-EQUAL))
 (641 66 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (630 590 (:REWRITE DEFAULT-+-1))
 (620 378 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (565 113 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (517 40 (:DEFINITION SYMBOL-LISTP))
 (482 30 (:REWRITE TAKE-OF-LEN-FREE))
 (477 159 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (474 46 (:DEFINITION NATP))
 (421 32 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (420 15 (:DEFINITION TAKE))
 (390 30 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
 (384 16 (:DEFINITION NFIX))
 (341 2 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-18))
 (329 1 (:DEFINITION INDICES-MARKED-P))
 (321 321 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (289 113 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (266 19 (:DEFINITION MAKE-LIST-AC))
 (260 32 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (256 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (255 255 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (253 19 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (215 215 (:REWRITE SUBSETP-MEMBER . 2))
 (215 215 (:REWRITE SUBSETP-MEMBER . 1))
 (208 32 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (208 32 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (160 12 (:DEFINITION COUNT-FREE-BLOCKS))
 (156 156 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (152 32 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (150 30 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-1))
 (150 10 (:DEFINITION BLOCK-LISTP))
 (140 60 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (130 10 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (127 127 (:LINEAR POSITION-WHEN-MEMBER))
 (127 127 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (126 42 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (110 10 (:REWRITE L6-FS-P-ASSOC))
 (102 102 (:REWRITE SUBSETP-TRANS2))
 (102 102 (:REWRITE SUBSETP-TRANS))
 (100 50 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (100 32 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (90 90 (:TYPE-PRESCRIPTION UNMAKE-BLOCKS))
 (80 50 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (80 32 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (80 32 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (80 1 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-3))
 (75 75 (:TYPE-PRESCRIPTION MAKE-BLOCKS))
 (70 70 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (66 66 (:REWRITE SUBSETP-MEMBER . 4))
 (66 66 (:REWRITE SUBSETP-MEMBER . 3))
 (62 62 (:TYPE-PRESCRIPTION NATP))
 (60 30 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (50 50 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (50 16 (:DEFINITION BINARY-APPEND))
 (45 45 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (45 45 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (32 32 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (30 30 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (30 10 (:DEFINITION CHARACTER-LISTP))
 (28 28 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (25 25 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (11 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (11 1 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (10 10 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (8 4 (:TYPE-PRESCRIPTION SET-INDICES-IN-ALV))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5 5 (:TYPE-PRESCRIPTION INDICES-MARKED-P))
 (3 1 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-18))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-2))
 (1 1 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-2))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-48
 (25250 4222 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (21664 12381 (:REWRITE DEFAULT-CDR))
 (20873 1100 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (20622 278 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (16329 54 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-45))
 (15390 1120 (:DEFINITION MEMBER-EQUAL))
 (14458 139 (:DEFINITION NTH))
 (11679 318 (:DEFINITION SUBSETP-EQUAL))
 (11226 42 (:REWRITE LEN-OF-APPEND))
 (11098 12 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-31 . 1))
 (10999 612 (:REWRITE NFIX-WHEN-ZP))
 (10890 5987 (:REWRITE DEFAULT-+-2))
 (10880 24 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-44))
 (10716 718 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (10644 42 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-10 . 2))
 (8705 275 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (8490 2520 (:REWRITE DEFAULT-<-1))
 (7851 2617 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7404 261 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (7123 1120 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (7074 417 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (6730 5987 (:REWRITE DEFAULT-+-1))
 (6466 2520 (:REWRITE DEFAULT-<-2))
 (5713 26 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-38))
 (5592 12 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (4970 90 (:DEFINITION UNMAKE-BLOCKS))
 (4920 984 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (4913 275 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (4596 12 (:REWRITE NTH-OF-SET-INDICES-IN-FA-TABLE-WHEN-MEMBER))
 (3288 42 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-APPEND))
 (3164 213 (:REWRITE TAKE-OF-LEN-FREE))
 (3078 42 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 2))
 (3075 275 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (2775 139 (:DEFINITION NFIX))
 (2750 14 (:DEFINITION UNMAKE-BLOCKS-WITHOUT-FEASIBILITY))
 (2605 117 (:DEFINITION TAKE))
 (2274 2274 (:REWRITE SUBSETP-MEMBER . 2))
 (2274 2274 (:REWRITE SUBSETP-MEMBER . 1))
 (2106 30 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (2087 261 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2000 9 (:DEFINITION SET-INDICES))
 (1952 984 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1919 194 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1723 151 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1698 261 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1642 261 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1581 1581 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1410 261 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1270 275 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (1270 275 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (1190 85 (:DEFINITION MAKE-LIST-AC))
 (1120 1120 (:REWRITE SUBSETP-MEMBER . 4))
 (1120 1120 (:REWRITE SUBSETP-MEMBER . 3))
 (806 806 (:LINEAR POSITION-WHEN-MEMBER))
 (806 806 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (804 12 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (636 636 (:REWRITE SUBSETP-TRANS2))
 (636 636 (:REWRITE SUBSETP-TRANS))
 (605 11 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-3))
 (550 125 (:DEFINITION BINARY-APPEND))
 (451 27 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (419 419 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (417 417 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (414 46 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (414 9 (:DEFINITION UPDATE-NTH))
 (409 175 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (343 343 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (336 336 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (306 90 (:REWRITE FOLD-CONSTS-IN-+))
 (299 13 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (278 278 (:TYPE-PRESCRIPTION NFIX))
 (276 92 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (261 261 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (261 261 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (261 261 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (261 261 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (261 261 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (261 261 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (261 261 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (261 261 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (261 261 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (252 56 (:DEFINITION CHARACTER-LISTP))
 (224 14 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (208 208 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (204 204 (:REWRITE L6-LIST-ALL-OK-INDICES-CORRECTNESS-3))
 (196 27 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (193 193 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (168 84 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (162 27 (:REWRITE STR::LEN-OF-MAKE-CHARACTER-LIST))
 (148 148 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (143 13 (:REWRITE CONSP-OF-TAKE))
 (92 92 (:TYPE-PRESCRIPTION NULL))
 (92 92 (:DEFINITION NULL))
 (84 84 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (84 42 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (78 3 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-1))
 (70 70 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (68 68 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (68 34 (:TYPE-PRESCRIPTION SET-INDICES-IN-ALV))
 (60 60 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (45 9 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (42 42 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (30 30 (:REWRITE LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS . 1))
 (26 26 (:TYPE-PRESCRIPTION TAKE))
 (26 13 (:REWRITE DEFAULT-UNARY-MINUS))
 (11 11 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-2))
 (9 9 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (1 1 (:REWRITE INDICES-MARKED-P-CORRECTNESS-1))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-49
 (10463 530 (:DEFINITION SUBSETP-EQUAL))
 (9963 3321 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (8168 871 (:DEFINITION MEMBER-EQUAL))
 (8022 827 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (7543 299 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (5993 409 (:DEFINITION SYMBOL-LISTP))
 (5932 5147 (:REWRITE DEFAULT-CDR))
 (5351 5073 (:REWRITE DEFAULT-CAR))
 (5090 28 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-32))
 (4487 351 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (3189 759 (:DEFINITION BINARY-APPEND))
 (2701 2701 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1950 1736 (:REWRITE SUBSETP-MEMBER . 2))
 (1914 240 (:DEFINITION LEN))
 (1890 1081 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (1809 583 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (1736 1736 (:REWRITE SUBSETP-MEMBER . 1))
 (1552 1090 (:REWRITE SUBSETP-TRANS2))
 (1509 299 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1495 299 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1407 15 (:REWRITE SUBSETP-APPEND1))
 (1217 299 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1090 1090 (:REWRITE SUBSETP-TRANS))
 (1041 299 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (971 299 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (890 445 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (818 818 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (659 299 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (535 62 (:REWRITE L6-FS-P-ASSOC))
 (480 240 (:REWRITE DEFAULT-+-2))
 (443 299 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (443 299 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (351 351 (:REWRITE SUBSETP-MEMBER . 4))
 (351 351 (:REWRITE SUBSETP-MEMBER . 3))
 (324 36 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (299 299 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (299 299 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (299 299 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (299 299 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (299 299 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (240 240 (:REWRITE DEFAULT-+-1))
 (171 57 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (130 5 (:REWRITE MEMBER-OF-BINARY-APPEND))
 (60 60 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (60 20 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-33))
 (57 57 (:TYPE-PRESCRIPTION NULL))
 (57 57 (:DEFINITION NULL))
 (44 44 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-1
 (67218 1206 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (60082 13948 (:REWRITE DEFAULT-CDR))
 (53308 770 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (47553 123 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (45524 1174 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
 (38203 3990 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (36352 123 (:DEFINITION SET-INDICES))
 (31445 3296 (:REWRITE ZP-OPEN))
 (30330 12914 (:REWRITE DEFAULT-CAR))
 (27266 246 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (22929 7643 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (20070 2850 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (18908 123 (:DEFINITION NTH))
 (18121 95 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-10 . 1))
 (18001 1269 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-1))
 (17024 643 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (15966 369 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (15884 369 (:REWRITE NFIX-WHEN-ZP))
 (13866 4249 (:REWRITE DEFAULT-<-2))
 (13734 4249 (:REWRITE DEFAULT-<-1))
 (12822 2594 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (12722 2140 (:DEFINITION ASSOC-EQUAL))
 (12572 784 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (12453 341 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-2))
 (11840 304 (:DEFINITION L6-FS-P))
 (11790 840 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-3))
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 (10594 369 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (10049 5309 (:REWRITE DEFAULT-+-2))
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 (9194 123 (:DEFINITION UNMAKE-BLOCKS))
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 (9141 369 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (8964 28 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-19))
 (7608 95 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-1))
 (7368 369 (:REWRITE NFIX-WHEN-NATP))
 (7026 1168 (:DEFINITION NATP))
 (6276 56 (:REWRITE L4-WRCHS-RETURNS-STRICTER-FS-LEMMA-10))
 (6265 5309 (:REWRITE DEFAULT-+-1))
 (6187 6187 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (5744 369 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (5742 28 (:REWRITE FIND-N-FREE-BLOCKS-CORRECTNESS-2))
 (5382 598 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (5322 123 (:DEFINITION UPDATE-NTH))
 (5248 2744 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (4714 246 (:REWRITE TAKE-OF-LEN-FREE))
 (4452 84 (:DEFINITION L4-COLLECT-ALL-INDEX-LISTS))
 (4180 950 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (3949 56 (:REWRITE L4-WRCHS-RETURNS-STRICTER-FS-LEMMA-11))
 (3807 123 (:DEFINITION NFIX))
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 (3588 1196 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (3494 3494 (:TYPE-PRESCRIPTION UNMAKE-BLOCKS))
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 (3080 84 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2816 1424 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (2772 84 (:DEFINITION L4-REGULAR-FILE-ENTRY-P))
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 (2669 214 (:DEFINITION MEMBER-EQUAL))
 (2536 917 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2520 504 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2436 84 (:DEFINITION L3-FS-P))
 (2412 1206 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (2379 190 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (2352 336 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2273 369 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (2273 369 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (2241 2241 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (2090 2090 (:REWRITE L6-FILE-INDEX-LIST-CORRECTNESS-2))
 (2059 130 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1995 190 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (1965 357 (:REWRITE COMMUTATIVITY-OF-+))
 (1863 139 (:DEFINITION COUNT-FREE-BLOCKS))
 (1821 113 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-8))
 (1733 123 (:DEFINITION MIN))
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 (1500 1500 (:LINEAR POSITION-WHEN-MEMBER))
 (1500 1500 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1405 95 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-21))
 (1359 302 (:DEFINITION BINARY-APPEND))
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 (1235 1235 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
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 (902 902 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
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 (783 531 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (738 738 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (738 492 (:REWRITE STR::CONSP-OF-EXPLODE))
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 (559 464 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (475 95 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (448 168 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (431 431 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (428 428 (:REWRITE SUBSETP-MEMBER . 2))
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 (394 56 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-4))
 (380 190 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (285 285 (:TYPE-PRESCRIPTION BOUNDED-NAT-LISTP))
 (285 285 (:REWRITE L6-FILE-INDEX-LIST-CORRECTNESS-1))
 (285 95 (:REWRITE UNICITY-OF-0))
 (285 95 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-19))
 (285 95 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-18))
 (285 95 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-MAKE-LIST-AC))
 (262 262 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (252 252 (:TYPE-PRESCRIPTION L4-COLLECT-ALL-INDEX-LISTS))
 (252 84 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-6))
 (246 246 (:TYPE-PRESCRIPTION NFIX))
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 (240 16 (:DEFINITION BLOCK-LISTP))
 (224 224 (:TYPE-PRESCRIPTION FIND-N-FREE-BLOCKS))
 (207 207 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-2))
 (190 190 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (190 190 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (190 190 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (168 168 (:REWRITE SUBSETP-MEMBER . 4))
 (168 168 (:REWRITE SUBSETP-MEMBER . 3))
 (151 151 (:TYPE-PRESCRIPTION INDICES-MARKED-P))
 (140 140 (:TYPE-PRESCRIPTION NO-DUPLICATES-LISTP))
 (112 56 (:TYPE-PRESCRIPTION SET-INDICES-IN-ALV))
 (95 95 (:TYPE-PRESCRIPTION LOWER-BOUNDED-INTEGER-LISTP))
 (95 95 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (95 95 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (95 95 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-35))
 (95 95 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (56 56 (:TYPE-PRESCRIPTION INDICES-MARKED-LISTP))
 (56 56 (:TYPE-PRESCRIPTION FIND-N-FREE-BLOCKS-CORRECTNESS-3))
 (48 16 (:DEFINITION CHARACTER-LISTP))
 (16 16 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-51
 (2979 9 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (2063 203 (:DEFINITION LEN))
 (1834 280 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (1656 18 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1152 9 (:DEFINITION NTH))
 (945 45 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (911 357 (:REWRITE DEFAULT-CDR))
 (860 19 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (801 19 (:REWRITE NFIX-WHEN-ZP))
 (766 143 (:REWRITE DEFAULT-<-1))
 (621 27 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (602 20 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (544 20 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (495 9 (:DEFINITION UNMAKE-BLOCKS))
 (471 254 (:REWRITE DEFAULT-+-2))
 (447 149 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (445 19 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (443 143 (:REWRITE DEFAULT-<-2))
 (434 19 (:REWRITE NFIX-WHEN-NATP))
 (360 240 (:REWRITE DEFAULT-CAR))
 (316 316 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (315 63 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (288 27 (:DEFINITION NATP))
 (270 90 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (267 254 (:REWRITE DEFAULT-+-1))
 (266 19 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (252 9 (:DEFINITION TAKE))
 (243 18 (:REWRITE TAKE-OF-LEN-FREE))
 (234 18 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
 (234 9 (:DEFINITION NFIX))
 (215 173 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (215 43 (:DEFINITION ASSOC-EQUAL))
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 (149 149 (:TYPE-PRESCRIPTION L6-LIST-ALL-OK-INDICES-CORRECTNESS-2))
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 (98 7 (:DEFINITION MAKE-LIST-AC))
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 (77 7 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
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 (54 54 (:TYPE-PRESCRIPTION UNMAKE-BLOCKS))
 (51 12 (:REWRITE COMMUTATIVITY-OF-+))
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 (35 35 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (27 27 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (27 27 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (27 9 (:DEFINITION BINARY-APPEND))
 (27 2 (:DEFINITION SYMBOL-LISTP))
 (26 2 (:DEFINITION COUNT-FREE-BLOCKS))
 (20 20 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION NFIX))
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 (15 1 (:DEFINITION BLOCK-LISTP))
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 (11 1 (:REWRITE L6-FS-P-ASSOC))
 (10 10 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (8 1 (:DEFINITION MEMBER-EQUAL))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
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 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (4 2 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (3 3 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (3 1 (:REWRITE UNICITY-OF-0))
 (3 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-MAKE-LIST-AC))
 (3 1 (:DEFINITION CHARACTER-LISTP))
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 (2 2 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 1 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (1 1 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (1 1 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (1 1 (:TYPE-PRESCRIPTION BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE L6-FILE-INDEX-LIST-CORRECTNESS-1))
 (1 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-52
 (3332 14 (:DEFINITION SUBSETP-EQUAL))
 (2317 7 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (1947 290 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (1655 8 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1524 18 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1319 8 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (1077 70 (:REWRITE ZP-OPEN))
 (1064 9 (:DEFINITION NTH))
 (961 403 (:REWRITE DEFAULT-CDR))
 (845 46 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (773 22 (:REWRITE NFIX-WHEN-ZP))
 (699 17 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (623 129 (:REWRITE DEFAULT-<-1))
 (555 27 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (553 22 (:DEFINITION MEMBER-EQUAL))
 (545 317 (:REWRITE DEFAULT-CAR))
 (506 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (480 160 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (466 1 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-32))
 (447 242 (:REWRITE DEFAULT-+-2))
 (434 14 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (421 1 (:REWRITE NTH-OF-SET-INDICES-IN-FA-TABLE-WHEN-MEMBER))
 (392 14 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (388 8 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (385 7 (:DEFINITION UNMAKE-BLOCKS))
 (381 129 (:REWRITE DEFAULT-<-2))
 (375 17 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (343 63 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (318 318 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (295 87 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (255 195 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (255 51 (:DEFINITION ASSOC-EQUAL))
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 (252 242 (:REWRITE DEFAULT-+-1))
 (233 17 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (212 9 (:DEFINITION NFIX))
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 (154 63 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (154 11 (:DEFINITION MAKE-LIST-AC))
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 (112 7 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (108 17 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (108 17 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (108 2 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-39))
 (93 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (80 10 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (70 14 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-1))
 (64 64 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (51 17 (:REWRITE L6-LIST-ALL-OK-INDICES-CORRECTNESS-3))
 (48 8 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (43 43 (:REWRITE SUBSETP-MEMBER . 2))
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 (42 42 (:TYPE-PRESCRIPTION UNMAKE-BLOCKS))
 (33 33 (:TYPE-PRESCRIPTION NATP))
 (30 30 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (28 28 (:REWRITE SUBSETP-TRANS2))
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 (28 14 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
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 (28 12 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (27 27 (:LINEAR POSITION-WHEN-MEMBER))
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 (26 26 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (21 21 (:TYPE-PRESCRIPTION MAKE-BLOCKS))
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 (21 21 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (21 7 (:DEFINITION BINARY-APPEND))
 (14 14 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (14 14 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION NULL))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (8 8 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (8 8 (:DEFINITION NULL))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE SUBSETP-MEMBER . 4))
 (7 7 (:REWRITE SUBSETP-MEMBER . 3))
 (7 7 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (5 5 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (5 5 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-54
 (6684 2228 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2376 207 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (1839 99 (:DEFINITION SYMBOL-LISTP))
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 (776 528 (:REWRITE DEFAULT-CDR))
 (246 123 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (198 198 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (180 24 (:DEFINITION LEN))
 (159 53 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (141 47 (:REWRITE L6-FS-P-ASSOC))
 (131 45 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (110 26 (:DEFINITION BINARY-APPEND))
 (92 54 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (48 24 (:REWRITE DEFAULT-+-2))
 (28 28 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE DEFAULT-+-1))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-55
 (9930 30 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
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 (3150 150 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2997 2 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-30))
 (2824 100 (:REWRITE NFIX-WHEN-ZP))
 (2822 62 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2583 539 (:REWRITE DEFAULT-<-1))
 (2516 94 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (2124 1151 (:REWRITE DEFAULT-+-2))
 (2070 90 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (1937 1 (:REWRITE FAT32-BUILD-INDEX-LIST-OF-SET-INDICES-DISJOINT))
 (1806 60 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (1756 4 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-44))
 (1734 578 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (1650 30 (:DEFINITION UNMAKE-BLOCKS))
 (1595 539 (:REWRITE DEFAULT-<-2))
 (1459 62 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (1432 25 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (1427 12 (:DEFINITION MEMBER-EQUAL))
 (1355 877 (:REWRITE DEFAULT-CAR))
 (1251 5 (:REWRITE INTERSECTP-WHEN-SUBSETP))
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 (1226 5 (:DEFINITION SUBSETP-EQUAL))
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 (1086 2 (:DEFINITION INTERSECTP-EQUAL))
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 (1044 118 (:DEFINITION NATP))
 (987 329 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (883 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 2))
 (878 62 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (875 659 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (857 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (840 30 (:DEFINITION TAKE))
 (810 60 (:REWRITE TAKE-OF-LEN-FREE))
 (780 156 (:DEFINITION ASSOC-EQUAL))
 (780 30 (:DEFINITION NFIX))
 (768 1 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-39))
 (613 7 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (600 210 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (589 7 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (579 579 (:TYPE-PRESCRIPTION L6-LIST-ALL-OK-INDICES-CORRECTNESS-2))
 (579 579 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (562 8 (:REWRITE L6-MAKE-REGULAR-FILE-CORRECTNESS-1))
 (504 168 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (486 3 (:REWRITE LEN-OF-APPEND))
 (455 62 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (455 62 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (440 88 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-1))
 (336 24 (:DEFINITION MAKE-LIST-AC))
 (332 332 (:REWRITE L6-FILE-INDEX-LIST-CORRECTNESS-2))
 (281 281 (:TYPE-PRESCRIPTION UNMAKE-BLOCKS))
 (246 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-APPEND))
 (223 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (216 111 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (216 108 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
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 (195 15 (:DEFINITION COUNT-FREE-BLOCKS))
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 (165 6 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (149 149 (:TYPE-PRESCRIPTION NATP))
 (141 141 (:LINEAR POSITION-WHEN-MEMBER))
 (141 141 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (118 118 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (111 15 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (108 108 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (108 33 (:DEFINITION BINARY-APPEND))
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 (90 90 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (81 6 (:DEFINITION SYMBOL-LISTP))
 (74 4 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (66 66 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (62 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (61 61 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (60 60 (:TYPE-PRESCRIPTION NFIX))
 (60 60 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (50 50 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (48 4 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (45 3 (:DEFINITION BLOCK-LISTP))
 (42 42 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (39 3 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (33 3 (:REWRITE L6-FS-P-ASSOC))
 (30 30 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (28 28 (:REWRITE STR::CONSP-OF-EXPLODE))
 (26 26 (:REWRITE SUBSETP-MEMBER . 2))
 (26 26 (:REWRITE SUBSETP-MEMBER . 1))
 (25 25 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (17 17 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (16 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (16 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (12 6 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (10 10 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (10 10 (:REWRITE SUBSETP-TRANS2))
 (10 10 (:REWRITE SUBSETP-TRANS))
 (9 9 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (9 3 (:DEFINITION CHARACTER-LISTP))
 (8 2 (:REWRITE MEMBER-OF-FAT32-BUILD-INDEX-LIST))
 (6 6 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (6 3 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (6 3 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (5 5 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 2 (:REWRITE INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (2 2 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (1 1 (:REWRITE INDICES-MARKED-P-CORRECTNESS-1))
 )
(L6-WRCHS-CORRECTNESS-1-LEMMA-3
 (7613 23 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (6241 882 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (4444 50 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (3924 1334 (:REWRITE DEFAULT-CDR))
 (3096 25 (:DEFINITION NTH))
 (2738 78 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (2598 66 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (2503 126 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2296 54 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2251 89 (:REWRITE NFIX-WHEN-ZP))
 (2027 445 (:REWRITE DEFAULT-<-1))
 (1882 1029 (:REWRITE DEFAULT-+-2))
 (1647 75 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (1621 773 (:REWRITE DEFAULT-CAR))
 (1426 23 (:DEFINITION UNMAKE-BLOCKS))
 (1418 76 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
 (1378 445 (:REWRITE DEFAULT-<-2))
 (1202 54 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (1183 5 (:DEFINITION SET-INDICES))
 (1143 3 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-32))
 (1125 1029 (:REWRITE DEFAULT-+-1))
 (1008 584 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (957 2 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-44))
 (898 1 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-31 . 1))
 (875 175 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (842 3 (:DEFINITION INTERSECTP-EQUAL))
 (782 46 (:REWRITE TAKE-OF-LEN-FREE))
 (716 54 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (666 132 (:DEFINITION ASSOC-EQUAL))
 (644 23 (:DEFINITION TAKE))
 (624 25 (:DEFINITION NFIX))
 (587 11 (:DEFINITION L6-FS-P))
 (478 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (474 175 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (455 11 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (429 26 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (406 18 (:DEFINITION MEMBER-EQUAL))
 (406 10 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (404 10 (:DEFINITION SUBSETP-EQUAL))
 (389 1 (:REWRITE NTH-OF-SET-INDICES-IN-FA-TABLE-WHEN-MEMBER))
 (368 54 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (368 54 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (285 95 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (266 19 (:DEFINITION MAKE-LIST-AC))
 (237 20 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (234 18 (:DEFINITION COUNT-FREE-BLOCKS))
 (230 5 (:DEFINITION UPDATE-NTH))
 (224 224 (:TYPE-PRESCRIPTION UNMAKE-BLOCKS))
 (199 24 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (166 84 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (156 78 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (153 153 (:LINEAR POSITION-WHEN-MEMBER))
 (153 153 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (112 7 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (108 2 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-39))
 (104 104 (:TYPE-PRESCRIPTION MAKE-BLOCKS))
 (99 28 (:DEFINITION BINARY-APPEND))
 (93 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (85 85 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (79 79 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (78 78 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (54 6 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (53 53 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (50 50 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (50 50 (:TYPE-PRESCRIPTION NFIX))
 (46 46 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (38 38 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (37 37 (:REWRITE SUBSETP-MEMBER . 2))
 (37 37 (:REWRITE SUBSETP-MEMBER . 1))
 (36 12 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (30 30 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (30 20 (:REWRITE STR::CONSP-OF-EXPLODE))
 (28 28 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (25 5 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (24 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (21 21 (:TYPE-PRESCRIPTION L6-MAKE-REGULAR-FILE))
 (20 20 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (20 20 (:REWRITE SUBSETP-TRANS2))
 (20 20 (:REWRITE SUBSETP-TRANS))
 (18 9 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (17 17 (:REWRITE L6-LIST-ALL-OK-INDICES-CORRECTNESS-3))
 (16 16 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (15 5 (:REWRITE L6-FS-P-ASSOC))
 (15 1 (:DEFINITION BLOCK-LISTP))
 (13 1 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (12 12 (:TYPE-PRESCRIPTION NULL))
 (12 12 (:DEFINITION NULL))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (11 11 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (10 10 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (9 3 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (7 7 (:REWRITE SUBSETP-MEMBER . 4))
 (7 7 (:REWRITE SUBSETP-MEMBER . 3))
 (5 5 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (5 5 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (3 1 (:DEFINITION CHARACTER-LISTP))
 (1 1 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (1 1 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-1))
 )
(L6-WRCHS-CORRECTNESS-1
 (125173 1123 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (118197 18336 (:REWRITE DEFAULT-<-1))
 (104156 351 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (99881 324 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (92614 539 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (90044 115 (:DEFINITION INTEGER-LISTP))
 (81166 324 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (80709 15 (:DEFINITION RATIONAL-LISTP))
 (80160 255 (:DEFINITION NAT-LISTP))
 (77403 1914 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (71043 3 (:DEFINITION ACL2-NUMBER-LISTP))
 (56127 948 (:DEFINITION NTH))
 (50981 400 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (46991 20302 (:REWRITE DEFAULT-CDR))
 (40367 2687 (:REWRITE NFIX-WHEN-ZP))
 (39591 1030 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (35075 151 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (28047 1761 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (27180 3891 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (26460 21 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (24943 18046 (:REWRITE DEFAULT-CAR))
 (20847 4581 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (20146 11727 (:REWRITE DEFAULT-+-2))
 (18418 3608 (:DEFINITION ASSOC-EQUAL))
 (17442 18 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (16458 70 (:DEFINITION UPDATE-NTH))
 (13408 496 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
 (12429 11727 (:REWRITE DEFAULT-+-1))
 (11511 1533 (:DEFINITION NFIX))
 (9255 3085 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6526 16 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-44))
 (6043 105 (:DEFINITION UNMAKE-BLOCKS))
 (5752 16 (:DEFINITION INTERSECTP-EQUAL))
 (5700 1432 (:REWRITE INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (4552 16 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-32))
 (4501 402 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (4275 4275 (:TYPE-PRESCRIPTION INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (4224 6 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-31 . 1))
 (4172 344 (:REWRITE TAKE-OF-LEN-FREE))
 (3960 8 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (3888 2688 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (3187 163 (:DEFINITION MEMBER-EQUAL))
 (2960 202 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2864 716 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (2800 2 (:DEFINITION BOUNDED-NAT-LISTP))
 (2688 451 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (2604 29 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (2528 35 (:DEFINITION L3-FS-P))
 (2454 2 (:DEFINITION LOWER-BOUNDED-INTEGER-LISTP))
 (2345 1123 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2166 4 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-24))
 (2156 168 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (2129 147 (:DEFINITION MAKE-LIST-AC))
 (2093 101 (:DEFINITION NTHCDR))
 (2078 2078 (:TYPE-PRESCRIPTION NFIX))
 (1982 56 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1950 180 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-3))
 (1899 211 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (1868 351 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (1841 324 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (1742 46 (:DEFINITION SUBSETP-EQUAL))
 (1682 6 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-19))
 (1548 1080 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1546 1546 (:LINEAR POSITION-WHEN-MEMBER))
 (1546 1546 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1443 1443 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1368 72 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (1242 422 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (1204 54 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1189 757 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1184 55 (:DEFINITION BLOCK-LISTP))
 (1106 12 (:REWRITE L4-WRCHS-RETURNS-STRICTER-FS-LEMMA-10))
 (1058 46 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (926 7 (:REWRITE MEMBER-OF-FAT32-BUILD-INDEX-LIST))
 (912 912 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (864 18 (:DEFINITION L4-COLLECT-ALL-INDEX-LISTS))
 (813 172 (:DEFINITION BINARY-APPEND))
 (783 98 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (747 12 (:REWRITE L4-WRCHS-RETURNS-STRICTER-FS-LEMMA-11))
 (670 72 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (653 50 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (651 651 (:TYPE-PRESCRIPTION FAT32-IS-EOF))
 (649 649 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (603 19 (:REWRITE CDR-OF-MAKE-LIST))
 (594 18 (:DEFINITION L4-REGULAR-FILE-ENTRY-P))
 (453 19 (:REWRITE CAR-OF-MAKE-LIST))
 (432 8 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-39))
 (410 410 (:TYPE-PRESCRIPTION NULL))
 (410 410 (:DEFINITION NULL))
 (384 79 (:DEFINITION CHARACTER-LISTP))
 (368 14 (:DEFINITION TRUE-LISTP))
 (367 367 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (362 6 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-7))
 (345 345 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (338 338 (:REWRITE SUBSETP-MEMBER . 2))
 (338 338 (:REWRITE SUBSETP-MEMBER . 1))
 (336 24 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (330 330 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (330 220 (:REWRITE STR::CONSP-OF-EXPLODE))
 (302 302 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (292 146 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (280 28 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (272 136 (:REWRITE L6-LIST-ALL-OK-INDICES-CORRECTNESS-3))
 (256 256 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (252 6 (:DEFINITION NO-DUPLICATES-LISTP))
 (230 230 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (228 28 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (221 1 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (216 36 (:REWRITE STR::LEN-OF-MAKE-CHARACTER-LIST))
 (212 212 (:TYPE-PRESCRIPTION L3-FS-P))
 (196 28 (:DEFINITION STRING-LISTP))
 (165 33 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (144 12 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (140 140 (:TYPE-PRESCRIPTION STRING-LISTP))
 (140 35 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-5))
 (105 5 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (98 98 (:REWRITE SUBSETP-MEMBER . 4))
 (98 98 (:REWRITE SUBSETP-MEMBER . 3))
 (92 92 (:REWRITE SUBSETP-TRANS2))
 (92 92 (:REWRITE SUBSETP-TRANS))
 (88 88 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (80 3 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (78 78 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (72 72 (:TYPE-PRESCRIPTION L6-MAKE-REGULAR-FILE))
 (72 72 (:TYPE-PRESCRIPTION FIND-N-FREE-BLOCKS))
 (69 18 (:REWRITE L6-TO-L4-FS-CORRECTNESS-3))
 (64 25 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (63 27 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (56 56 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (56 56 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (56 56 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (56 28 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (54 54 (:TYPE-PRESCRIPTION L4-COLLECT-ALL-INDEX-LISTS))
 (54 1 (:DEFINITION CEILING))
 (46 12 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-4))
 (41 22 (:REWRITE DEFAULT-UNARY-MINUS))
 (33 33 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (30 30 (:TYPE-PRESCRIPTION NO-DUPLICATES-LISTP))
 (30 30 (:TYPE-PRESCRIPTION FIND-N-FREE-BLOCKS-CORRECTNESS-3))
 (30 2 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (28 28 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (28 28 (:REWRITE SET::IN-SET))
 (24 12 (:TYPE-PRESCRIPTION SET-INDICES-IN-ALV))
 (12 12 (:TYPE-PRESCRIPTION INDICES-MARKED-LISTP))
 (9 9 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (6 3 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 (4 4 (:REWRITE INDICES-MARKED-P-CORRECTNESS-1))
 (4 1 (:REWRITE COMMUTATIVITY-OF-*))
 (3 2 (:REWRITE DEFAULT-*-2))
 (3 2 (:REWRITE DEFAULT-*-1))
 (2 2 (:REWRITE RATIONALP-*))
 (2 2 (:DEFINITION IFIX))
 (2 1 (:REWRITE DEFAULT-NUMERATOR))
 (2 1 (:REWRITE DEFAULT-DENOMINATOR))
 )
(L6-CREATE-RETURNS-FS
 (1374 458 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (833 102 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (743 491 (:REWRITE DEFAULT-CDR))
 (544 8 (:DEFINITION SET-INDICES))
 (542 468 (:REWRITE DEFAULT-CAR))
 (377 114 (:REWRITE DEFAULT-<-2))
 (368 8 (:DEFINITION UPDATE-NTH))
 (321 172 (:REWRITE DEFAULT-+-2))
 (225 93 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (195 15 (:DEFINITION COUNT-FREE-BLOCKS))
 (187 172 (:REWRITE DEFAULT-+-1))
 (184 8 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (143 11 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (141 114 (:REWRITE DEFAULT-<-1))
 (126 14 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (104 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (102 42 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (88 11 (:DEFINITION MEMBER-EQUAL))
 (84 28 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (60 15 (:REWRITE COMMUTATIVITY-OF-+))
 (55 55 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (54 18 (:DEFINITION CHARACTER-LISTP))
 (52 4 (:REWRITE NFIX-WHEN-ZP))
 (48 8 (:DEFINITION BINARY-APPEND))
 (42 42 (:LINEAR POSITION-WHEN-MEMBER))
 (42 42 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (40 8 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (40 8 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (32 8 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (32 8 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (32 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (30 30 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (28 28 (:TYPE-PRESCRIPTION NULL))
 (28 28 (:DEFINITION NULL))
 (26 26 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (25 25 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (22 22 (:REWRITE SUBSETP-MEMBER . 2))
 (22 22 (:REWRITE SUBSETP-MEMBER . 1))
 (18 18 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (13 13 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 )
(L6-CREATE-CORRECTNESS-1-LEMMA-1
 (1698 566 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1662 1338 (:REWRITE DEFAULT-CDR))
 (1457 124 (:DEFINITION MEMBER-EQUAL))
 (1350 15 (:DEFINITION INTERSECTP-EQUAL))
 (1256 1159 (:REWRITE DEFAULT-CAR))
 (931 124 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (794 32 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (476 7 (:DEFINITION SET-INDICES))
 (450 246 (:REWRITE DEFAULT-+-2))
 (406 91 (:DEFINITION BINARY-APPEND))
 (403 31 (:DEFINITION COUNT-FREE-BLOCKS))
 (375 124 (:REWRITE DEFAULT-<-2))
 (322 7 (:DEFINITION UPDATE-NTH))
 (315 88 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (277 246 (:REWRITE DEFAULT-+-1))
 (262 262 (:REWRITE SUBSETP-MEMBER . 2))
 (262 262 (:REWRITE SUBSETP-MEMBER . 1))
 (196 112 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (182 14 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (180 36 (:DEFINITION ASSOC-EQUAL))
 (165 124 (:REWRITE DEFAULT-<-1))
 (161 7 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (144 16 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (139 139 (:TYPE-PRESCRIPTION MAKE-BLOCKS))
 (124 124 (:REWRITE SUBSETP-MEMBER . 4))
 (124 124 (:REWRITE SUBSETP-MEMBER . 3))
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 (28 7 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
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 )
(L6-CREATE-CORRECTNESS-1
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 (10268 226 (:DEFINITION UPDATE-NTH))
 (10122 3374 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
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 (5339 233 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (4572 2609 (:REWRITE DEFAULT-+-2))
 (4495 344 (:DEFINITION COUNT-FREE-BLOCKS))
 (4341 793 (:DEFINITION ASSOC-EQUAL))
 (4229 316 (:DEFINITION MEMBER-EQUAL))
 (3016 232 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (2953 2609 (:REWRITE DEFAULT-+-1))
 (2698 2104 (:REWRITE DEFAULT-<-1))
 (2526 520 (:DEFINITION BINARY-APPEND))
 (2079 231 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (2046 132 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1386 462 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (1322 4 (:REWRITE FAT32-BUILD-INDEX-LIST-OF-SET-INDICES-DISJOINT))
 (1320 334 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (1160 232 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1130 226 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (928 232 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (928 232 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (897 5 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-30))
 (816 294 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-10))
 (798 456 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (674 170 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
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 (602 4 (:DEFINITION INTERSECTP-EQUAL))
 (540 540 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (528 528 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (516 58 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (462 462 (:TYPE-PRESCRIPTION NULL))
 (462 462 (:DEFINITION NULL))
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 (360 2 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-44))
 (340 340 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (334 334 (:REWRITE SUBSETP-MEMBER . 4))
 (334 334 (:REWRITE SUBSETP-MEMBER . 3))
 (298 2 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-31 . 1))
 (232 232 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (207 207 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (206 206 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (184 4 (:REWRITE FAT32-BUILD-INDEX-LIST-OF-SET-INDICES-IN-FA-TABLE-COINCIDENT))
 (165 165 (:LINEAR POSITION-WHEN-MEMBER))
 (165 165 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (139 139 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (52 4 (:REWRITE NFIX-WHEN-ZP))
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 (32 32 (:TYPE-PRESCRIPTION L6-MAKE-REGULAR-FILE))
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 (21 3 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (20 20 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (20 4 (:REWRITE DISTRIBUTIVITY))
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 (16 4 (:REWRITE MEMBER-OF-FAT32-BUILD-INDEX-LIST))
 (16 4 (:REWRITE FAT32-BUILD-INDEX-LIST-CORRECTNESS-1 . 1))
 (12 12 (:REWRITE INDICES-MARKED-P-CORRECTNESS-1))
 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
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 )
(L6-UNLINK-RETURNS-FS
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 (678 72 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (325 325 (:REWRITE DEFAULT-CAR))
 (231 231 (:REWRITE DEFAULT-CDR))
 (215 43 (:DEFINITION ASSOC-EQUAL))
 (156 12 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (121 51 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (117 13 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (110 16 (:DEFINITION LEN))
 (96 12 (:DEFINITION MEMBER-EQUAL))
 (78 26 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (69 9 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (64 29 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (60 60 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (48 3 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (42 3 (:DEFINITION MAKE-LIST-AC))
 (35 19 (:REWRITE DEFAULT-+-2))
 (33 9 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (26 26 (:TYPE-PRESCRIPTION NULL))
 (26 26 (:DEFINITION NULL))
 (24 24 (:REWRITE SUBSETP-MEMBER . 2))
 (24 24 (:REWRITE SUBSETP-MEMBER . 1))
 (24 6 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (24 3 (:REWRITE ZP-OPEN))
 (23 13 (:REWRITE DEFAULT-<-1))
 (19 19 (:REWRITE DEFAULT-+-1))
 (18 18 (:TYPE-PRESCRIPTION L6-LIST-ALL-OK-INDICES-CORRECTNESS-2))
 (18 3 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-54 . 1))
 (16 13 (:REWRITE DEFAULT-<-2))
 (15 15 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
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 (12 12 (:TYPE-PRESCRIPTION L6-STRICTER-FS-P))
 (11 11 (:LINEAR POSITION-WHEN-MEMBER))
 (11 11 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (10 10 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (9 3 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-54 . 2))
 (6 6 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 )
(L6-UNLINK-CORRECTNESS-1-LEMMA-1
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 (1395 39 (:DEFINITION L6-FS-P))
 (935 97 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (761 75 (:DEFINITION MEMBER-EQUAL))
 (750 28 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (748 34 (:DEFINITION SUBSETP-EQUAL))
 (638 612 (:REWRITE DEFAULT-CAR))
 (575 521 (:REWRITE DEFAULT-CDR))
 (481 26 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (403 26 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (290 58 (:DEFINITION ASSOC-EQUAL))
 (237 30 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (223 26 (:DEFINITION LEN))
 (195 15 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (170 170 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (159 159 (:REWRITE SUBSETP-MEMBER . 2))
 (159 159 (:REWRITE SUBSETP-MEMBER . 1))
 (153 17 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (130 130 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (118 28 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (102 34 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (93 42 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (80 24 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (68 68 (:REWRITE SUBSETP-TRANS2))
 (68 68 (:REWRITE SUBSETP-TRANS))
 (68 28 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (68 4 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (60 20 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (59 32 (:REWRITE DEFAULT-+-2))
 (56 4 (:DEFINITION MAKE-LIST-AC))
 (48 5 (:REWRITE ZP-OPEN))
 (44 28 (:REWRITE INTERSECT-WITH-SUBSET . 12))
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 (34 34 (:TYPE-PRESCRIPTION NULL))
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 (30 30 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
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 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (28 28 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (28 17 (:REWRITE DEFAULT-<-1))
 (26 26 (:REWRITE SUBSETP-MEMBER . 4))
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 (23 17 (:REWRITE DEFAULT-<-2))
 (20 1 (:REWRITE NFIX-WHEN-ZP))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER))
 (14 14 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(L6-UNLINK-CORRECTNESS-1
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 (7863 650 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (6645 2215 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5988 5600 (:REWRITE DEFAULT-CAR))
 (5341 881 (:DEFINITION ASSOC-EQUAL))
 (5272 3877 (:REWRITE DEFAULT-CDR))
 (2574 286 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (2332 148 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2266 228 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (1845 135 (:DEFINITION LEN))
 (1826 158 (:DEFINITION MEMBER-EQUAL))
 (1716 572 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (1068 164 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (1025 49 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (851 237 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (783 783 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (686 49 (:DEFINITION MAKE-LIST-AC))
 (572 572 (:TYPE-PRESCRIPTION NULL))
 (572 572 (:DEFINITION NULL))
 (562 40 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-3))
 (484 1 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-32))
 (408 50 (:REWRITE ZP-OPEN))
 (340 6 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (322 186 (:REWRITE DEFAULT-+-2))
 (315 315 (:REWRITE SUBSETP-MEMBER . 2))
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 (310 6 (:DEFINITION SUBSETP-EQUAL))
 (271 2 (:DEFINITION INTERSECTP-EQUAL))
 (258 258 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (228 228 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (187 186 (:REWRITE DEFAULT-+-1))
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 (108 2 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-39))
 (90 71 (:REWRITE DEFAULT-<-1))
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 (50 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
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 (12 12 (:REWRITE SUBSETP-TRANS2))
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 (10 10 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
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 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 )
(L6-WRCHS-RETURNS-FA-TABLE
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 (3745 19 (:DEFINITION UNMAKE-BLOCKS-WITHOUT-FEASIBILITY))
 (3281 1256 (:REWRITE DEFAULT-CDR))
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 (2960 19 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-18))
 (2704 16 (:DEFINITION INDICES-MARKED-P))
 (2692 35 (:DEFINITION NTH))
 (2250 116 (:REWRITE NFIX-WHEN-ZP))
 (1807 800 (:REWRITE DEFAULT-<-2))
 (1528 191 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1495 979 (:REWRITE DEFAULT-CAR))
 (1461 487 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1354 800 (:REWRITE DEFAULT-<-1))
 (1305 725 (:REWRITE DEFAULT-+-2))
 (1305 261 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1216 8 (:DEFINITION SET-INDICES))
 (1164 78 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (1141 38 (:REWRITE UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-3))
 (1050 105 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (978 141 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (886 92 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (874 78 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (818 36 (:DEFINITION TAKE))
 (786 725 (:REWRITE DEFAULT-+-1))
 (767 70 (:REWRITE TAKE-OF-LEN-FREE))
 (600 78 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (596 36 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (495 99 (:DEFINITION ASSOC-EQUAL))
 (455 35 (:DEFINITION NFIX))
 (400 16 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-3))
 (391 17 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (384 106 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (368 8 (:DEFINITION UPDATE-NTH))
 (324 36 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (319 82 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-9))
 (295 19 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (285 19 (:DEFINITION COUNT-FREE-BLOCKS))
 (279 55 (:DEFINITION CHARACTER-LISTP))
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 (260 16 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-2))
 (257 36 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
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 (240 240 (:LINEAR POSITION-WHEN-MEMBER))
 (240 240 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (224 16 (:DEFINITION MAKE-LIST-AC))
 (216 72 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (216 36 (:REWRITE STR::LEN-OF-MAKE-CHARACTER-LIST))
 (215 215 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (197 197 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (187 17 (:REWRITE CONSP-OF-TAKE))
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 (162 78 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (156 156 (:TYPE-PRESCRIPTION L6-STRICTER-FS-P))
 (156 156 (:TYPE-PRESCRIPTION L6-LIST-ALL-OK-INDICES-CORRECTNESS-2))
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 (146 16 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-1))
 (108 46 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
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 (102 78 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (101 101 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (96 12 (:DEFINITION MEMBER-EQUAL))
 (93 16 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-2))
 (92 37 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (91 91 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (85 85 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (80 80 (:TYPE-PRESCRIPTION INDICES-MARKED-P))
 (76 38 (:TYPE-PRESCRIPTION SET-INDICES-IN-ALV))
 (72 72 (:TYPE-PRESCRIPTION NULL))
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 (51 51 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (51 34 (:REWRITE STR::CONSP-OF-EXPLODE))
 (48 16 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-18))
 (40 8 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (38 38 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (34 34 (:TYPE-PRESCRIPTION TAKE))
 (34 17 (:REWRITE DEFAULT-UNARY-MINUS))
 (30 30 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (29 29 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (29 29 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (24 24 (:REWRITE SUBSETP-MEMBER . 2))
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 (16 16 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-2))
 (16 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 )
(L6-WRCHS-RETURNS-DISK
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 (3745 19 (:DEFINITION UNMAKE-BLOCKS-WITHOUT-FEASIBILITY))
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 (1807 798 (:REWRITE DEFAULT-<-2))
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 (1461 487 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1351 798 (:REWRITE DEFAULT-<-1))
 (1305 261 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
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 (1216 8 (:DEFINITION SET-INDICES))
 (1164 78 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (1141 38 (:REWRITE UNMAKE-BLOCKS-WITHOUT-FEASIBILITY-CORRECTNESS-3))
 (1050 105 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (886 92 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (874 78 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (864 134 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (818 36 (:DEFINITION TAKE))
 (767 70 (:REWRITE TAKE-OF-LEN-FREE))
 (743 691 (:REWRITE DEFAULT-+-1))
 (600 78 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (596 36 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (465 93 (:DEFINITION ASSOC-EQUAL))
 (455 35 (:DEFINITION NFIX))
 (400 16 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-3))
 (391 17 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (368 8 (:DEFINITION UPDATE-NTH))
 (327 99 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (324 36 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (321 69 (:DEFINITION CHARACTER-LISTP))
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 )
(L6-WRCHS-RETURNS-STRICTER-FS-LEMMA-1
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 )
(L6-WRCHS-RETURNS-STRICTER-FS-LEMMA-4
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 )
(L6-WRCHS-RETURNS-STRICTER-FS-LEMMA-5
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 )
(L6-WRCHS-RETURNS-STRICTER-FS-LEMMA-6
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(L6-WRCHS-RETURNS-STRICTER-FS-LEMMA-7
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 )
(L6-WRCHS-RETURNS-STRICTER-FS-LEMMA-8
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 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
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 (5 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
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 (4 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4 2 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
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 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:REWRITE SET::IN-SET))
 (3 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-TRUE-LIST-FIX))
 (2 2 (:TYPE-PRESCRIPTION L6-REGULAR-FILE-ENTRY-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (2 2 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (2 2 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (2 2 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 )
(L6-WRCHS-RETURNS-STRICTER-FS-LEMMA-9
 (490997 1718 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (484050 54108 (:REWRITE DEFAULT-<-1))
 (467106 280 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (412322 154 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (396961 2327 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (374770 70 (:DEFINITION RATIONAL-LISTP))
 (362981 583 (:DEFINITION INTEGER-LISTP))
 (348885 154 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (348523 1113 (:DEFINITION NAT-LISTP))
 (329886 14 (:DEFINITION ACL2-NUMBER-LISTP))
 (215326 5780 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (214146 1728 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (163062 761 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (159780 2848 (:DEFINITION NTH))
 (126565 4765 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (122864 98 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
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 (80990 84 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (65568 44228 (:REWRITE DEFAULT-CDR))
 (62085 54108 (:REWRITE DEFAULT-<-2))
 (60756 1759 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (57720 11544 (:DEFINITION ASSOC-EQUAL))
 (55400 50463 (:REWRITE DEFAULT-CAR))
 (53214 16929 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (35608 22297 (:REWRITE DEFAULT-+-2))
 (35299 5779 (:DEFINITION NFIX))
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 (22519 22297 (:REWRITE DEFAULT-+-1))
 (17192 17192 (:TYPE-PRESCRIPTION INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
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 (2381 34 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (2375 200 (:REWRITE TAKE-OF-LEN-FREE))
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 (1712 4 (:DEFINITION INDICES-MARKED-P))
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 (1007 1007 (:LINEAR POSITION-WHEN-MEMBER))
 (1007 1007 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (998 66 (:DEFINITION COUNT-FREE-BLOCKS))
 (936 2 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (893 41 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (864 96 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (859 147 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (840 20 (:DEFINITION FEASIBLE-FILE-LENGTH-P))
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 (766 2 (:REWRITE NTH-OF-SET-INDICES-IN-FA-TABLE-WHEN-MEMBER))
 (751 280 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (742 53 (:DEFINITION MAKE-LIST-AC))
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 (637 166 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (628 198 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (570 192 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (565 64 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (481 37 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (460 16 (:DEFINITION UPDATE-NTH))
 (460 4 (:REWRITE SET-INDICES-IN-ALV-CORRECTNESS-4))
 (392 392 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (390 170 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (389 23 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (308 308 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (306 306 (:REWRITE SUBSETP-MEMBER . 2))
 (306 306 (:REWRITE SUBSETP-MEMBER . 1))
 (294 8 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-39))
 (280 140 (:TYPE-PRESCRIPTION SET-INDICES-IN-ALV))
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 (256 4 (:REWRITE SET-INDICES-IN-ALV-CORRECTNESS-3))
 (192 82 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (189 189 (:TYPE-PRESCRIPTION NULL))
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 (176 26 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 (141 141 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
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 (134 134 (:REWRITE SUBSETP-MEMBER . 4))
 (134 134 (:REWRITE SUBSETP-MEMBER . 3))
 (128 28 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-2))
 (126 63 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
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 (105 105 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (96 36 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-54 . 2))
 (84 28 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-19))
 (84 28 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-18))
 (82 82 (:REWRITE L6-LIST-ALL-OK-INDICES-CORRECTNESS-3))
 (81 42 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (64 64 (:TYPE-PRESCRIPTION L6-MAKE-REGULAR-FILE))
 (60 60 (:REWRITE DEFAULT-*-1))
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 (52 52 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (52 52 (:REWRITE SUBSETP-TRANS2))
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 (46 23 (:REWRITE DEFAULT-UNARY-MINUS))
 (40 40 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (34 34 (:REWRITE INTERSECT-WITH-SUBSET . 12))
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 (34 34 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (34 34 (:REWRITE INTERSECT-WITH-SUBSET . 7))
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 (34 34 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (34 34 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (34 34 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (34 34 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (34 34 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (34 34 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (34 14 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-38))
 (32 16 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (16 16 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (12 8 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-40 . 2))
 (11 1 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-49 . 2))
 (7 7 (:TYPE-PRESCRIPTION FAT32-IS-EOF))
 )
(L6-WRCHS-RETURNS-STRICTER-FS-LEMMA-10
 (628 34 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
 (570 76 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (494 13 (:DEFINITION L6-TO-L4-FS-HELPER))
 (464 25 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (418 38 (:DEFINITION SYMBOL-LISTP))
 (266 266 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (211 17 (:DEFINITION MEMBER-EQUAL))
 (202 199 (:REWRITE DEFAULT-CDR))
 (185 182 (:REWRITE DEFAULT-CAR))
 (136 34 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (94 2 (:DEFINITION L4-COLLECT-ALL-INDEX-LISTS))
 (92 3 (:DEFINITION L3-FS-P))
 (84 36 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (76 76 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (76 38 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (68 3 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 2))
 (66 2 (:DEFINITION L4-REGULAR-FILE-ENTRY-P))
 (60 2 (:DEFINITION NO-DUPLICATES-LISTP))
 (34 34 (:REWRITE SUBSETP-MEMBER . 4))
 (34 34 (:REWRITE SUBSETP-MEMBER . 3))
 (34 34 (:REWRITE SUBSETP-MEMBER . 2))
 (34 34 (:REWRITE SUBSETP-MEMBER . 1))
 (22 22 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (14 14 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (10 2 (:DEFINITION BINARY-APPEND))
 (9 9 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-10))
 (8 8 (:TYPE-PRESCRIPTION L4-COLLECT-ALL-INDEX-LISTS))
 (7 3 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 1))
 )
(L6-WRCHS-RETURNS-STRICTER-FS
 (623690 233 (:DEFINITION L4-WRCHS))
 (493182 11 (:DEFINITION INDICES-MARKED-LISTP))
 (465797 2945 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (465214 2217 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (439499 6051 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (413333 163 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (367615 36 (:DEFINITION INTEGER-LISTP))
 (366738 75 (:DEFINITION INDICES-MARKED-P))
 (363448 5859 (:REWRITE ZP-OPEN))
 (343735 105 (:DEFINITION NAT-LISTP))
 (254672 818 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (218240 2204 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (204344 361 (:DEFINITION NTH))
 (203913 902 (:REWRITE NFIX-WHEN-ZP))
 (183626 1738 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (178446 2162 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
 (172512 57504 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (170899 51270 (:REWRITE DEFAULT-CDR))
 (149864 233 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-19))
 (148021 20 (:REWRITE L4-WRCHS-RETURNS-STRICTER-FS-LEMMA-28))
 (147225 134 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (146311 14 (:DEFINITION BOUNDED-NAT-LISTP))
 (108750 2162 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-1))
 (107939 382 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (100636 62182 (:REWRITE DEFAULT-CAR))
 (85392 783 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-42 . 2))
 (80531 233 (:DEFINITION SET-INDICES))
 (78053 8503 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (66740 8163 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-3))
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 (59741 59741 (:TYPE-PRESCRIPTION ZP))
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 (49330 1698 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (44824 382 (:DEFINITION UNMAKE-BLOCKS))
 (44381 902 (:REWRITE NFIX-WHEN-NATP))
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 (15280 382 (:DEFINITION TAKE))
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 (14458 2274 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-2))
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 (14068 466 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-2))
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 (12903 391 (:DEFINITION L4-REGULAR-FILE-ENTRY-P))
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 (11222 1249 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-4))
 (9407 634 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-8))
 (9379 361 (:DEFINITION NFIX))
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 (8104 8104 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (7047 783 (:DEFINITION REMOVE1-ASSOC-EQUAL))
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 (4856 60 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-48))
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 (4454 233 (:DEFINITION UPDATE-NTH))
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 (4202 764 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4052 4052 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
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 (3333 3333 (:TYPE-PRESCRIPTION INTEGER-LISTP))
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 (988 988 (:TYPE-PRESCRIPTION FIND-N-FREE-BLOCKS))
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 (970 970 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (970 970 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
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 (924 84 (:DEFINITION MIN))
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 (636 636 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (466 233 (:REWRITE L6-FS-P-ASSOC))
 (446 446 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (424 424 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (336 168 (:TYPE-PRESCRIPTION SET-INDICES-IN-ALV))
 (246 82 (:DEFINITION CHARACTER-LISTP))
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 (233 233 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-3))
 (233 233 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-1))
 (196 7 (:REWRITE L4-WRCHS-RETURNS-STRICTER-FS-LEMMA-25))
 (142 142 (:TYPE-PRESCRIPTION FIND-N-FREE-BLOCKS-CORRECTNESS-3))
 (140 14 (:REWRITE L4-LIST-ALL-INDICES-CORRECTNESS-1))
 (76 1 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-3 . 1))
 (72 36 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (70 70 (:TYPE-PRESCRIPTION BOUNDED-NAT-LISTP))
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 (56 56 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (56 24 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-3 . 1))
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 (14 14 (:TYPE-PRESCRIPTION L4-FS-P))
 )
(L6-STAT-AFTER-WRITE-LEMMA-6
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 (17002 168 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (14252 4704 (:REWRITE DEFAULT-CDR))
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 (10129 30 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
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 (8056 152 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-1))
 (7432 620 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (7298 241 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (7265 19 (:DEFINITION SET-INDICES))
 (7041 60 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (6744 606 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-3))
 (6475 467 (:REWRITE ZP-OPEN))
 (6215 1135 (:DEFINITION ASSOC-EQUAL))
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 (5164 19 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-19))
 (5133 248 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (4916 30 (:DEFINITION NTH))
 (4902 430 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (4709 4709 (:TYPE-PRESCRIPTION ZP))
 (4559 169 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (4294 113 (:DEFINITION L6-TO-L4-FS-HELPER))
 (4127 79 (:REWRITE NFIX-WHEN-ZP))
 (3876 76 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-42 . 2))
 (3439 19 (:REWRITE FIND-N-FREE-BLOCKS-CORRECTNESS-2))
 (3340 38 (:REWRITE L4-WRCHS-RETURNS-STRICTER-FS-LEMMA-10))
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 (2775 29 (:DEFINITION L6-STAT))
 (2679 57 (:DEFINITION L4-COLLECT-ALL-INDEX-LISTS))
 (2652 79 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2601 90 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (2508 19 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-18))
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 (2299 38 (:REWRITE L4-WRCHS-RETURNS-STRICTER-FS-LEMMA-11))
 (2286 656 (:REWRITE DEFAULT-<-2))
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 (2008 656 (:REWRITE DEFAULT-<-1))
 (1976 64 (:DEFINITION L3-FS-P))
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 (1596 76 (:REWRITE L2-READ-AFTER-WRITE-1-LEMMA-1))
 (1583 756 (:REWRITE DEFAULT-+-2))
 (1419 60 (:REWRITE TAKE-OF-LEN-FREE))
 (1397 23 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-7))
 (1327 116 (:DEFINITION MEMBER-EQUAL))
 (1254 38 (:REWRITE FETCH-BLOCKS-BY-INDICES-CORRECTNESS-2))
 (1227 756 (:REWRITE DEFAULT-+-1))
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 (1116 30 (:DEFINITION TAKE))
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 (910 910 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
 (863 30 (:DEFINITION NFIX))
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 (767 59 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (758 662 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-10))
 (684 76 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (634 19 (:DEFINITION UPDATE-NTH))
 (590 590 (:TYPE-PRESCRIPTION L3-FS-P))
 (580 580 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (578 4 (:REWRITE L6-STAT-CORRECTNESS-2 . 1))
 (573 573 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (551 30 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (545 52 (:REWRITE L6-FS-P-ASSOC))
 (544 544 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (530 4 (:REWRITE L6-STAT-CORRECTNESS-1 . 1))
 (468 468 (:TYPE-PRESCRIPTION NAT-LISTP))
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 (437 437 (:TYPE-PRESCRIPTION UNMAKE-BLOCKS))
 (435 57 (:REWRITE COMMUTATIVITY-OF-+))
 (389 27 (:DEFINITION COUNT-FREE-BLOCKS))
 (375 87 (:DEFINITION BINARY-APPEND))
 (358 187 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (336 168 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (304 114 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (272 272 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (267 60 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (266 266 (:TYPE-PRESCRIPTION FEASIBLE-FILE-LENGTH-P))
 (259 259 (:LINEAR POSITION-WHEN-MEMBER))
 (259 259 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (248 248 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (248 248 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (232 232 (:REWRITE SUBSETP-MEMBER . 2))
 (232 232 (:REWRITE SUBSETP-MEMBER . 1))
 (220 220 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (214 214 (:TYPE-PRESCRIPTION MAKE-BLOCKS))
 (212 212 (:TYPE-PRESCRIPTION NATP))
 (209 19 (:DEFINITION MIN))
 (205 57 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-41))
 (192 64 (:REWRITE L6-TO-L4-FS-CORRECTNESS-3))
 (171 171 (:TYPE-PRESCRIPTION L4-COLLECT-ALL-INDEX-LISTS))
 (168 168 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (152 152 (:TYPE-PRESCRIPTION NULL))
 (152 152 (:DEFINITION NULL))
 (147 7 (:REWRITE L3-FS-P-ASSOC))
 (140 140 (:TYPE-PRESCRIPTION FIND-N-FREE-BLOCKS))
 (114 114 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (114 114 (:REWRITE SUBSETP-MEMBER . 4))
 (114 114 (:REWRITE SUBSETP-MEMBER . 3))
 (114 76 (:REWRITE STR::CONSP-OF-EXPLODE))
 (114 38 (:REWRITE L6-STRICTER-FS-P-CORRECTNESS-1-LEMMA-4))
 (95 95 (:TYPE-PRESCRIPTION NO-DUPLICATES-LISTP))
 (90 90 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (83 83 (:TYPE-PRESCRIPTION BOOLEAN-LISTP))
 (83 83 (:REWRITE FA-TABLE-TO-ALV-CORRECTNESS-2))
 (79 79 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (79 79 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (79 79 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (79 79 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (76 38 (:TYPE-PRESCRIPTION SET-INDICES-IN-ALV))
 (63 7 (:REWRITE L4-WRCHS-RETURNS-FS))
 (60 60 (:TYPE-PRESCRIPTION NFIX))
 (60 60 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (57 57 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-6))
 (46 46 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (38 38 (:TYPE-PRESCRIPTION INDICES-MARKED-P))
 (38 38 (:TYPE-PRESCRIPTION INDICES-MARKED-LISTP))
 (38 38 (:TYPE-PRESCRIPTION FIND-N-FREE-BLOCKS-CORRECTNESS-3))
 (34 34 (:LINEAR L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (27 9 (:DEFINITION CHARACTER-LISTP))
 (24 8 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-48))
 (21 9 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 1))
 (19 19 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-3))
 (19 19 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-1))
 (11 11 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 (3 3 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(L6-STAT-AFTER-WRITE-LEMMA-7
 (16051 175 (:DEFINITION L6-STAT))
 (14516 13 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (12000 118 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (11085 386 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (8588 190 (:DEFINITION L6-FS-P))
 (7025 26 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (6008 394 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (5557 39 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (4959 62 (:REWRITE ZP-OPEN))
 (4801 13 (:DEFINITION NTH))
 (4720 12 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (4620 1540 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4310 202 (:DEFINITION SYMBOL-LISTP))
 (3864 2650 (:REWRITE DEFAULT-CDR))
 (3747 150 (:REWRITE DEFAULT-<-1))
 (3478 14 (:REWRITE NFIX-WHEN-ZP))
 (3338 18 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (3191 2397 (:REWRITE DEFAULT-CAR))
 (2267 182 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2242 12 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (2238 14 (:REWRITE NFIX-WHEN-NATP))
 (1969 173 (:REWRITE L6-FS-P-ASSOC))
 (1961 388 (:DEFINITION ASSOC-EQUAL))
 (1904 42 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1593 5 (:DEFINITION L3-STAT))
 (1559 1559 (:TYPE-PRESCRIPTION ZP))
 (1476 182 (:DEFINITION MEMBER-EQUAL))
 (1392 12 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1338 150 (:REWRITE DEFAULT-<-2))
 (1132 6 (:DEFINITION NATP))
 (1126 6 (:DEFINITION NFIX))
 (1078 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (896 2 (:DEFINITION L4-WRCHS))
 (895 895 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (856 42 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (826 12 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (826 12 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (691 13 (:DEFINITION TAKE))
 (639 26 (:REWRITE TAKE-OF-LEN-FREE))
 (502 29 (:DEFINITION L6-TO-L4-FS-HELPER))
 (434 202 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (424 424 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (417 223 (:REWRITE DEFAULT-+-2))
 (405 9 (:REWRITE L6-STAT-CORRECTNESS-2 . 1))
 (364 364 (:REWRITE SUBSETP-MEMBER . 2))
 (364 364 (:REWRITE SUBSETP-MEMBER . 1))
 (346 22 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-3))
 (320 16 (:REWRITE L3-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (315 13 (:DEFINITION BLOCK-LISTP))
 (304 12 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (300 15 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (292 17 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (282 223 (:REWRITE DEFAULT-+-1))
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 (221 19 (:DEFINITION BINARY-APPEND))
 (211 9 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (198 6 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-1))
 (154 6 (:DEFINITION L4-COLLECT-ALL-INDEX-LISTS))
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 (124 6 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-7))
 (108 8 (:DEFINITION COUNT-FREE-BLOCKS))
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 (103 103 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (82 3 (:DEFINITION NO-DUPLICATES-LISTP))
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 (78 6 (:DEFINITION L4-REGULAR-FILE-ENTRY-P))
 (70 2 (:REWRITE FIND-N-FREE-BLOCKS-CORRECTNESS-2))
 (64 8 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (63 13 (:DEFINITION CHARACTER-LISTP))
 (58 2 (:DEFINITION L3-FS-P))
 (51 51 (:TYPE-PRESCRIPTION INTEGER-LISTP))
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 (44 2 (:DEFINITION SET-INDICES))
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 (40 4 (:REWRITE CONS-CAR-CDR))
 (34 16 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (32 16 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (32 8 (:REWRITE L2-READ-AFTER-WRITE-1-LEMMA-1))
 (32 8 (:REWRITE L1-READ-AFTER-WRITE-1-LEMMA-1))
 (31 31 (:TYPE-PRESCRIPTION L3-REGULAR-FILE-ENTRY-P))
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 (26 26 (:TYPE-PRESCRIPTION NFIX))
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 (22 2 (:DEFINITION MIN))
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 (16 16 (:TYPE-PRESCRIPTION NULL))
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 (12 12 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 12 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (10 10 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (10 10 (:DEFINITION MV-NTH))
 (8 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (8 4 (:TYPE-PRESCRIPTION SET-INDICES-IN-ALV))
 (6 6 (:TYPE-PRESCRIPTION FIND-N-FREE-BLOCKS))
 (6 2 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-19))
 (6 2 (:REWRITE L4-WRCHS-CORRECTNESS-1-LEMMA-18))
 (5 5 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 (3 3 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3 2 (:REWRITE STR::CONSP-OF-EXPLODE))
 (3 1 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-12))
 (2 2 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-3))
 (2 2 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-1))
 (2 1 (:REWRITE L6-WRCHS-RETURNS-STRICTER-FS-LEMMA-6))
 (2 1 (:REWRITE L6-STAT-CORRECTNESS-1-LEMMA-11))
 )
(L6-STAT-AFTER-WRITE
 (79798 25 (:DEFINITION FETCH-BLOCKS-BY-INDICES))
 (78809 845 (:DEFINITION L6-STAT))
 (69577 724 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (52089 1700 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (38269 50 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (38183 859 (:DEFINITION L6-FS-P))
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 (26836 50 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (26370 149 (:REWRITE ZP-OPEN))
 (25624 25 (:DEFINITION NTH))
 (21113 573 (:REWRITE DEFAULT-<-1))
 (18993 50 (:REWRITE NFIX-WHEN-ZP))
 (18543 75 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (18342 6114 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (18052 12147 (:REWRITE DEFAULT-CDR))
 (13866 9592 (:REWRITE DEFAULT-CAR))
 (12412 50 (:REWRITE NFIX-WHEN-NATP))
 (12412 50 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (11457 845 (:REWRITE L6-FS-P-ASSOC))
 (10985 845 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (9086 175 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (8450 1690 (:DEFINITION ASSOC-EQUAL))
 (7504 50 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (6989 573 (:REWRITE DEFAULT-<-2))
 (6760 845 (:DEFINITION MEMBER-EQUAL))
 (6256 25 (:DEFINITION NFIX))
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 (6056 25 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (4933 175 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
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 (4808 50 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (4451 25 (:DEFINITION UNMAKE-BLOCKS))
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 (2784 25 (:DEFINITION TAKE))
 (2487 50 (:REWRITE TAKE-OF-LEN-FREE))
 (1972 190 (:REWRITE L6-WRCHS-RETURNS-FS))
 (1907 1866 (:REWRITE DEFAULT-+-1))
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 (704 32 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (640 32 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (484 4 (:REWRITE L6-STAT-CORRECTNESS-2 . 2))
 (238 7 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
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 (196 16 (:DEFINITION COUNT-FREE-BLOCKS))
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 (175 175 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (164 41 (:REWRITE COMMUTATIVITY-OF-+))
 (152 152 (:LINEAR POSITION-WHEN-MEMBER))
 (152 152 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (76 76 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
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 (50 50 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
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 (43 1 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (32 32 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (16 16 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 )
(L6-READ-AFTER-WRITE-1
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 (6576 73 (:DEFINITION L6-STAT))
 (6283 130 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (4319 12 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (4304 148 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (3671 1193 (:REWRITE DEFAULT-CDR))
 (3051 75 (:DEFINITION L6-FS-P))
 (2905 20 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2848 6 (:DEFINITION NTH))
 (2800 94 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (2542 8 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2345 37 (:REWRITE NFIX-WHEN-ZP))
 (2163 236 (:REWRITE DEFAULT-<-1))
 (2006 151 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (1767 12 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (1653 10 (:REWRITE TAKE-OF-LEN-FREE))
 (1496 76 (:DEFINITION SYMBOL-LISTP))
 (1452 841 (:REWRITE DEFAULT-CAR))
 (1397 37 (:REWRITE NFIX-WHEN-NATP))
 (1345 88 (:REWRITE UNMAKE-BLOCKS-CORRECTNESS-2))
 (1314 438 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1186 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (1034 11 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (1028 73 (:REWRITE L6-FS-P-ASSOC))
 (966 236 (:REWRITE DEFAULT-<-2))
 (949 73 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (875 28 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (754 2 (:REWRITE LEN-OF-NTHCDR))
 (730 146 (:DEFINITION ASSOC-EQUAL))
 (718 8 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (654 338 (:REWRITE DEFAULT-+-2))
 (606 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (601 4 (:DEFINITION NFIX))
 (584 73 (:DEFINITION MEMBER-EQUAL))
 (569 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (532 532 (:TYPE-PRESCRIPTION ZP))
 (530 2 (:REWRITE CONSP-OF-NTHCDR))
 (472 28 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (452 8 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (452 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (365 365 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (364 1 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (345 338 (:REWRITE DEFAULT-+-1))
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 (223 2 (:DEFINITION CHARACTER-LISTP))
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 (182 4 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (165 3 (:DEFINITION UNMAKE-BLOCKS))
 (155 76 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (154 154 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (146 146 (:REWRITE SUBSETP-MEMBER . 2))
 (146 146 (:REWRITE SUBSETP-MEMBER . 1))
 (121 121 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (114 76 (:REWRITE STR::CONSP-OF-EXPLODE))
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 (74 1 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (44 2 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (30 10 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (29 29 (:REWRITE L6-STAT-AFTER-WRITE-LEMMA-7))
 (28 28 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (22 22 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (17 17 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (15 1 (:DEFINITION BLOCK-LISTP))
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 (12 12 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (9 3 (:DEFINITION BINARY-APPEND))
 (8 8 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (8 8 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (6 6 (:TYPE-PRESCRIPTION FETCH-BLOCKS-BY-INDICES))
 (5 5 (:REWRITE FOLD-CONSTS-IN-+))
 (4 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:TYPE-PRESCRIPTION MAKE-BLOCKS))
 (2 2 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
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 )
(L6-READ-AFTER-WRITE-2
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 (49013 200 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (45830 412 (:REWRITE DEFAULT-<-1))
 (45394 34 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (40016 16 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (35610 10 (:DEFINITION RATIONAL-LISTP))
 (35306 302 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (33924 16 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (33554 62 (:DEFINITION INTEGER-LISTP))
 (32232 1146 (:REWRITE L6-REGULAR-FILE-ENTRY-P-CORRECTNESS-2 . 2))
 (31596 134 (:DEFINITION NAT-LISTP))
 (31258 2 (:DEFINITION ACL2-NUMBER-LISTP))
 (23804 574 (:DEFINITION L6-FS-P))
 (19856 220 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (16300 86 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (11916 48 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (11888 14 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (10578 3526 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (9369 7829 (:REWRITE DEFAULT-CDR))
 (7990 12 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (7410 570 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (6914 6629 (:REWRITE DEFAULT-CAR))
 (6857 200 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
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 (5700 1140 (:DEFINITION ASSOC-EQUAL))
 (4638 12 (:DEFINITION NTH))
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 (2178 133 (:REWRITE L6-WRCHS-CORRECTNESS-1-LEMMA-15))
 (1565 36 (:REWRITE TAKE-OF-LEN-FREE))
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 (1243 28 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
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 (640 536 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (618 618 (:TYPE-PRESCRIPTION INTEGER-LISTP))
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 (536 536 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
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 (457 13 (:DEFINITION NFIX))
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 (400 4 (:DEFINITION NTHCDR))
 (396 8 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (352 350 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (350 350 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (323 3 (:DEFINITION UNMAKE-BLOCKS))
 (319 7 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (318 10 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (296 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (280 3 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (245 189 (:REWRITE L6-WRCHS-RETURNS-FS))
 (230 200 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (212 8 (:DEFINITION BINARY-APPEND))
 (211 2 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (176 8 (:REWRITE MAKE-BLOCKS-CORRECTNESS-5 . 1))
 (160 8 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (151 14 (:REWRITE L6-WRCHS-RETURNS-DISK))
 (135 25 (:DEFINITION CHARACTER-LISTP))
 (126 3 (:REWRITE CONSP-OF-TAKE))
 (102 102 (:LINEAR POSITION-WHEN-MEMBER))
 (102 102 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (86 86 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (64 34 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (55 55 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (52 4 (:DEFINITION COUNT-FREE-BLOCKS))
 (46 16 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (40 20 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (37 37 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (31 31 (:TYPE-PRESCRIPTION NFIX))
 (26 26 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (25 25 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (15 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (12 12 (:TYPE-PRESCRIPTION MAKE-BLOCKS))
 (8 8 (:TYPE-PRESCRIPTION FA-TABLE-TO-ALV))
 (8 8 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION TAKE))
 (4 4 (:REWRITE MAKE-BLOCKS-CORRECTNESS-4))
 (4 2 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 (2 2 (:TYPE-PRESCRIPTION LENGTH))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 )
