File: hifat-to-lofat-inversion%40useless-runes.lsp

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acl2 8.6%2Bdfsg-2
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file content (13720 lines) | stat: -rw-r--r-- 632,374 bytes
parent folder | download | duplicates (2)
(BOUNDED-NAT-LISTP-OF-GENERATE-INDEX-LIST
 (108 22 (:REWRITE DEFAULT-<-1))
 (85 5 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (70 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (70 5 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (55 5 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (40 10 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (40 5 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (24 24 (:REWRITE DEFAULT-+-2))
 (24 24 (:REWRITE DEFAULT-+-1))
 (24 6 (:REWRITE NFIX-WHEN-ZP))
 (22 22 (:REWRITE DEFAULT-<-2))
 (14 12 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE ZP-OPEN))
 (10 10 (:TYPE-PRESCRIPTION NAT-LISTP))
 (10 10 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (10 10 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (10 10 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE GENERATE-INDEX-LIST-CORRECTNESS-1))
 (10 10 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7 6 (:REWRITE DEFAULT-CDR))
 (5 5 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (5 5 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (5 5 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (5 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(SET-EQUIV-IMPLIES-EQUAL-NOT-INTERSECTP-LIST-1
 (45 9 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (14 14 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (14 14 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (13 13 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (13 13 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (13 13 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (9 9 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (9 9 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (9 9 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (9 9 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(GET-CC
 (168 125 (:REWRITE DEFAULT-<-2))
 (154 125 (:REWRITE DEFAULT-<-1))
 (136 92 (:REWRITE DEFAULT-+-2))
 (135 92 (:REWRITE DEFAULT-+-1))
 (72 17 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (6 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 1 (:REWRITE UPDATE-BPB_SECPERCLUS-CORRECTNESS-2 . 3))
 )
(GET-CC-ALT
 (6553 154 (:REWRITE TAKE-OF-LEN-FREE))
 (5640 376 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (5018 5018 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3290 329 (:DEFINITION ALISTP))
 (3061 2105 (:REWRITE DEFAULT-<-2))
 (2982 994 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2982 994 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2769 1606 (:REWRITE DEFAULT-+-2))
 (2632 658 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (2349 2105 (:REWRITE DEFAULT-<-1))
 (1988 1988 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1986 662 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (1836 1710 (:REWRITE DEFAULT-CDR))
 (1760 1606 (:REWRITE DEFAULT-+-1))
 (1645 1645 (:TYPE-PRESCRIPTION ALISTP))
 (1563 521 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1502 1502 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1497 666 (:REWRITE DEFAULT-CAR))
 (1395 143 (:DEFINITION NATP))
 (1316 1316 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (994 994 (:LINEAR POSITION-WHEN-MEMBER))
 (994 994 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (658 658 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (534 89 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (267 89 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (217 59 (:REWRITE FOLD-CONSTS-IN-+))
 (178 178 (:TYPE-PRESCRIPTION FAT32$C-P))
 (168 42 (:REWRITE INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (143 143 (:TYPE-PRESCRIPTION NATP))
 (126 126 (:TYPE-PRESCRIPTION INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (84 84 (:REWRITE DEFAULT-UNARY-MINUS))
 (24 24 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 3 (:REWRITE COMMUTATIVITY-2-OF-+))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(GET-CONTENTS-FROM-CC
 (1640 1 (:DEFINITION GET-CONTENTS-FROM-CC))
 (1630 16 (:REWRITE TAKE-OF-LEN-FREE))
 (1455 49 (:REWRITE NFIX-WHEN-ZP))
 (1387 10 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (1367 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1348 50 (:REWRITE ZP-OPEN))
 (960 8 (:DEFINITION TAKE))
 (921 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (597 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (547 4 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (500 300 (:REWRITE DEFAULT-+-2))
 (497 41 (:DEFINITION LEN))
 (455 295 (:REWRITE DEFAULT-<-1))
 (448 295 (:REWRITE DEFAULT-<-2))
 (415 16 (:REWRITE MOVE-NEGATIVE-CONSTANT-1))
 (414 4 (:REWRITE THEN-SUBSEQ-SAME-2))
 (402 300 (:REWRITE DEFAULT-+-1))
 (369 3 (:DEFINITION LENGTH))
 (357 54 (:REWRITE STR::CONSP-OF-EXPLODE))
 (356 356 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (356 356 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (356 356 (:REWRITE EXPT-COMPARE))
 (356 356 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (350 350 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (350 350 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (326 326 (:TYPE-PRESCRIPTION LEN))
 (295 295 (:META CANCEL_PLUS-LESSP-CORRECT))
 (252 252 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (243 21 (:REWRITE NONNEG-+))
 (225 102 (:REWRITE DEFAULT-CDR))
 (187 130 (:REWRITE DEFAULT-CAR))
 (181 10 (:DEFINITION UNSIGNED-BYTE-P))
 (161 10 (:DEFINITION INTEGER-RANGE-P))
 (150 18 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (147 49 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (147 49 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (136 136 (:TYPE-PRESCRIPTION STRINGP-SUBSEQ-TYPE-PRESCRIPTION))
 (132 15 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (126 6 (:REWRITE PRODUCT-LESS-THAN-ZERO))
 (122 10 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (112 14 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (111 49 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (102 10 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (98 98 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (97 97 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (74 1 (:DEFINITION STRING-APPEND))
 (66 66 (:REWRITE EXPT-COMPARE-EQUAL))
 (66 66 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (65 10 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (62 62 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (58 58 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (58 58 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (58 58 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (58 58 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (58 58 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (50 21 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (49 49 (:LINEAR POSITION-WHEN-MEMBER))
 (49 49 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (46 46 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (46 46 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (45 3 (:REWRITE INTEGERP-+))
 (43 43 (:REWRITE POWER2-INTEGER))
 (43 43 (:REWRITE INTEGERP-MINUS))
 (42 42 (:TYPE-PRESCRIPTION ZP))
 (32 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (30 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (30 1 (:DEFINITION BINARY-APPEND))
 (26 13 (:REWRITE DEFAULT-*-2))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (20 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (16 16 (:REWRITE COLLECT-CONSTANTS-IN-EQUAL-OF-SUMS))
 (15 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (13 13 (:REWRITE DEFAULT-*-1))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:REWRITE EXPT-EXECUTE-REWRITE))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE INTEGERP-SUM-OF-ODDS-OVER-2-LEADING-CONSTANT))
 )
(STRINGP-OF-GET-CONTENTS-FROM-CC)
(GET-CC-CONTENTS
 (138 138 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (138 138 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (138 138 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (138 138 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (138 138 (:REWRITE EXPT-COMPARE))
 (138 138 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (133 101 (:REWRITE DEFAULT-<-2))
 (128 101 (:REWRITE DEFAULT-<-1))
 (111 86 (:REWRITE DEFAULT-+-2))
 (99 86 (:REWRITE DEFAULT-+-1))
 (96 16 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (94 94 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (93 31 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (76 12 (:REWRITE NONNEG-+))
 (48 16 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (32 32 (:TYPE-PRESCRIPTION FAT32$C-P))
 (16 16 (:REWRITE DEFAULT-*-2))
 (16 16 (:REWRITE DEFAULT-*-1))
 (13 13 (:REWRITE POWER2-INTEGER))
 (13 13 (:REWRITE INTEGERP-MINUS))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(INTEGERP-OF-GET-CC-CONTENTS
 (20296 952 (:DEFINITION LEN))
 (18656 352 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (17952 352 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (17228 2028 (:REWRITE STR::CONSP-OF-EXPLODE))
 (16912 552 (:REWRITE LENGTH-WHEN-STRINGP))
 (13520 100 (:DEFINITION TAKE))
 (10840 200 (:REWRITE TAKE-OF-LEN-FREE))
 (10400 100 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (10300 100 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (10084 100 (:REWRITE THEN-SUBSEQ-SAME-2))
 (9784 100 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (6920 1084 (:REWRITE DEFAULT-CDR))
 (6416 6416 (:TYPE-PRESCRIPTION LEN))
 (6336 352 (:DEFINITION UNSIGNED-BYTE-P))
 (5632 352 (:DEFINITION INTEGER-RANGE-P))
 (4120 200 (:REWRITE MOVE-NEGATIVE-CONSTANT-1))
 (3928 2392 (:REWRITE DEFAULT-+-2))
 (3568 3568 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (2924 2392 (:REWRITE DEFAULT-+-1))
 (2608 2608 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2560 132 (:REWRITE DEFAULT-CAR))
 (2128 1024 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2083 1540 (:REWRITE DEFAULT-<-1))
 (1972 1540 (:REWRITE DEFAULT-<-2))
 (1867 1867 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (1867 1867 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (1867 1867 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (1867 1867 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (1867 1867 (:REWRITE EXPT-COMPARE))
 (1867 1867 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (1864 1864 (:REWRITE EXPT-COMPARE-EQUAL))
 (1864 1864 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (1764 1764 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (1764 1764 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (1764 1764 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (1764 1764 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (1764 1764 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (1656 552 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1656 552 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1540 1540 (:META CANCEL_PLUS-LESSP-CORRECT))
 (1484 716 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1202 1202 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1104 1104 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1104 1104 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1059 353 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (1056 176 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (928 32 (:DEFINITION BINARY-APPEND))
 (818 142 (:REWRITE NONNEG-+))
 (804 64 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (664 60 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (600 200 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (552 552 (:LINEAR POSITION-WHEN-MEMBER))
 (552 552 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (528 176 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (512 80 (:REWRITE STR-FIX-WHEN-STRINGP))
 (352 352 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (352 352 (:TYPE-PRESCRIPTION FAT32$C-P))
 (352 352 (:REWRITE EXPT-EXECUTE-REWRITE))
 (308 308 (:REWRITE DEFAULT-*-2))
 (308 308 (:REWRITE DEFAULT-*-1))
 (288 144 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (224 80 (:REWRITE STR-FIX-DEFAULT))
 (200 200 (:TYPE-PRESCRIPTION NFIX))
 (200 200 (:TYPE-PRESCRIPTION LENGTH))
 (200 200 (:REWRITE COLLECT-CONSTANTS-IN-EQUAL-OF-SUMS))
 (157 157 (:REWRITE POWER2-INTEGER))
 (157 157 (:REWRITE INTEGERP-MINUS))
 (128 32 (:REWRITE A3))
 (88 8 (:REWRITE A1))
 (48 8 (:REWRITE COMMUTATIVITY-2-OF-*))
 (24 24 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL-WITH-0))
 (24 8 (:REWRITE A5))
 (8 8 (:REWRITE A4))
 )
(STRINGP-OF-GET-CC-CONTENTS
 (12768 336 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (12684 840 (:DEFINITION LEN))
 (12096 336 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (11928 504 (:REWRITE LENGTH-WHEN-STRINGP))
 (6988 1812 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6720 84 (:REWRITE THEN-SUBSEQ-SAME-2))
 (6468 84 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (6300 84 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (6216 84 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5124 5124 (:TYPE-PRESCRIPTION LEN))
 (4864 956 (:REWRITE DEFAULT-CDR))
 (4452 84 (:DEFINITION TAKE))
 (4032 168 (:REWRITE TAKE-OF-LEN-FREE))
 (3360 336 (:DEFINITION UNSIGNED-BYTE-P))
 (3184 3184 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3024 336 (:DEFINITION INTEGER-RANGE-P))
 (2786 1648 (:REWRITE DEFAULT-+-2))
 (2012 936 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1898 1648 (:REWRITE DEFAULT-+-1))
 (1848 1848 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1769 1349 (:REWRITE DEFAULT-<-1))
 (1568 1349 (:REWRITE DEFAULT-<-2))
 (1362 652 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1260 420 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1260 420 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1076 1076 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1000 116 (:REWRITE DEFAULT-CAR))
 (840 840 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (714 32 (:DEFINITION BINARY-APPEND))
 (532 532 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (507 57 (:DEFINITION NATP))
 (448 64 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (434 62 (:REWRITE STR-FIX-WHEN-STRINGP))
 (432 144 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (420 420 (:LINEAR POSITION-WHEN-MEMBER))
 (420 420 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (360 60 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (336 336 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (284 64 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (252 84 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (248 124 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (186 62 (:REWRITE STR-FIX-DEFAULT))
 (180 60 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (168 168 (:TYPE-PRESCRIPTION LENGTH))
 (120 120 (:TYPE-PRESCRIPTION FAT32$C-P))
 (72 12 (:REWRITE COMMUTATIVITY-2-OF-+))
 (62 62 (:REWRITE DEFAULT-UNARY-MINUS))
 (57 57 (:TYPE-PRESCRIPTION NATP))
 (24 24 (:REWRITE FOLD-CONSTS-IN-+))
 (24 24 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (20 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 )
(GET-CC-CONTENTS
 (432 8 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (416 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (270 218 (:REWRITE DEFAULT-<-2))
 (260 218 (:REWRITE DEFAULT-<-1))
 (201 60 (:REWRITE NFIX-WHEN-ZP))
 (186 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (183 119 (:REWRITE DEFAULT-+-2))
 (162 119 (:REWRITE DEFAULT-+-1))
 (40 8 (:DEFINITION UNSIGNED-BYTE-P))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (32 8 (:DEFINITION INTEGER-RANGE-P))
 (32 2 (:DEFINITION LEN))
 (25 1 (:REWRITE STR-FIX-WHEN-STRINGP))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (10 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10 2 (:REWRITE DEFAULT-CDR))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 1 (:REWRITE UPDATE-BPB_SECPERCLUS-CORRECTNESS-2 . 3))
 (3 1 (:REWRITE STR-FIX-DEFAULT))
 )
(GET-CC-CONTENTS-CORRECTNESS-2
 (13832 364 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (13104 364 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (12922 546 (:REWRITE LENGTH-WHEN-STRINGP))
 (9919 331 (:REWRITE TAKE-OF-LEN-FREE))
 (7471 1936 (:REWRITE STR::CONSP-OF-EXPLODE))
 (7442 7442 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (7280 91 (:REWRITE THEN-SUBSEQ-SAME-2))
 (7090 2841 (:REWRITE DEFAULT-CDR))
 (7007 91 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (6825 91 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (6734 91 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5767 375 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (5538 3254 (:REWRITE DEFAULT-+-2))
 (4563 1521 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4563 1521 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4253 3103 (:REWRITE DEFAULT-<-2))
 (3666 3103 (:REWRITE DEFAULT-<-1))
 (3640 364 (:DEFINITION UNSIGNED-BYTE-P))
 (3490 3254 (:REWRITE DEFAULT-+-1))
 (3384 3384 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3370 337 (:DEFINITION ALISTP))
 (3276 364 (:DEFINITION INTEGER-RANGE-P))
 (3042 3042 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2696 674 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (2223 680 (:REWRITE DEFAULT-CAR))
 (2037 679 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1945 927 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1685 1685 (:TYPE-PRESCRIPTION ALISTP))
 (1521 1521 (:LINEAR POSITION-WHEN-MEMBER))
 (1521 1521 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1390 695 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1348 1348 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (1176 392 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (1116 132 (:DEFINITION NATP))
 (1112 1112 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1018 1018 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (674 674 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (660 110 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (638 29 (:DEFINITION BINARY-APPEND))
 (406 58 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (380 167 (:REWRITE FOLD-CONSTS-IN-+))
 (378 54 (:REWRITE STR-FIX-WHEN-STRINGP))
 (364 364 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (330 110 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (288 48 (:REWRITE COMMUTATIVITY-2-OF-+))
 (220 220 (:TYPE-PRESCRIPTION FAT32$C-P))
 (216 108 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (182 182 (:TYPE-PRESCRIPTION LENGTH))
 (164 164 (:REWRITE DEFAULT-UNARY-MINUS))
 (162 54 (:REWRITE STR-FIX-DEFAULT))
 (132 132 (:TYPE-PRESCRIPTION NATP))
 (29 29 (:TYPE-PRESCRIPTION STRINGP-OF-GET-CC-CONTENTS))
 (18 18 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(GET-CONTENTS-FROM-CC-OF-UPDATE-DATA-REGIONI
 (3092 56 (:REWRITE TAKE-OF-LEN-FREE))
 (1936 48 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (1840 48 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1496 26 (:DEFINITION TAKE))
 (1485 26 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1483 169 (:DEFINITION LEN))
 (1339 61 (:REWRITE LENGTH-WHEN-STRINGP))
 (1183 26 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1142 58 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (1100 1100 (:TYPE-PRESCRIPTION LEN))
 (918 13 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (743 361 (:REWRITE DEFAULT-+-1))
 (730 93 (:REWRITE ZP-OPEN))
 (698 361 (:REWRITE DEFAULT-+-2))
 (662 294 (:REWRITE STR::CONSP-OF-EXPLODE))
 (633 230 (:REWRITE DEFAULT-CDR))
 (608 608 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (484 48 (:DEFINITION UNSIGNED-BYTE-P))
 (481 356 (:REWRITE DEFAULT-<-2))
 (481 13 (:DEFINITION LENGTH))
 (436 48 (:DEFINITION INTEGER-RANGE-P))
 (426 356 (:REWRITE DEFAULT-<-1))
 (419 203 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (387 129 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (387 129 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (353 15 (:DEFINITION BINARY-APPEND))
 (291 54 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (258 258 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (254 30 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (244 106 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (216 216 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (215 13 (:REWRITE THEN-SUBSEQ-SAME-2))
 (213 15 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (210 9 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (183 9 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (178 81 (:REWRITE DEFAULT-CAR))
 (153 27 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (138 46 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (136 136 (:TYPE-PRESCRIPTION TAKE))
 (129 129 (:LINEAR POSITION-WHEN-MEMBER))
 (129 129 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (112 12 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (105 18 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (90 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (81 27 (:DEFINITION FIX))
 (78 13 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (75 75 (:TYPE-PRESCRIPTION ZP))
 (65 13 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (64 16 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (54 54 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (52 4 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-APPEND))
 (48 48 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (40 36 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (40 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (33 3 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (28 14 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (26 26 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (26 26 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (26 26 (:TYPE-PRESCRIPTION D-E-P))
 (26 26 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (26 13 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (24 12 (:REWRITE DEFAULT-UNARY-MINUS))
 (21 21 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (21 21 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (20 2 (:REWRITE STR::EQUAL-OF-EXPLODES))
 (18 18 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (18 18 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (18 18 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION FAT32$C-P))
 (15 15 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (15 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (13 13 (:TYPE-PRESCRIPTION LENGTH))
 (13 13 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (13 13 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (13 13 (:REWRITE SET::IN-SET))
 (11 11 (:REWRITE SUBSETP-MEMBER . 4))
 (11 11 (:REWRITE SUBSETP-MEMBER . 3))
 (11 11 (:REWRITE SUBSETP-MEMBER . 2))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 3))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 9 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE TAKE-OF-ZERO))
 )
(GET-CC-CONTENTS-CORRECTNESS-1
 (17550 396 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (17028 624 (:REWRITE LENGTH-WHEN-STRINGP))
 (16758 396 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (15125 1106 (:DEFINITION LEN))
 (10442 141 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (9301 141 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (9268 2354 (:REWRITE STR::CONSP-OF-EXPLODE))
 (9011 123 (:REWRITE THEN-SUBSEQ-SAME-2))
 (8917 123 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (7821 145 (:DEFINITION TAKE))
 (6339 1344 (:REWRITE DEFAULT-CDR))
 (4692 2732 (:REWRITE DEFAULT-+-2))
 (3960 396 (:DEFINITION UNSIGNED-BYTE-P))
 (3564 396 (:DEFINITION INTEGER-RANGE-P))
 (3467 2732 (:REWRITE DEFAULT-+-1))
 (3398 2710 (:REWRITE DEFAULT-<-1))
 (3299 2710 (:REWRITE DEFAULT-<-2))
 (2766 2766 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2419 1167 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2147 900 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1974 238 (:REWRITE DEFAULT-CAR))
 (1923 74 (:DEFINITION BINARY-APPEND))
 (1809 603 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1809 603 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1516 18 (:DEFINITION LENGTH))
 (1296 48 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (1252 1252 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1206 1206 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1200 80 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (1140 148 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (720 80 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (603 603 (:LINEAR POSITION-WHEN-MEMBER))
 (603 603 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (531 177 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (400 80 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (396 396 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (336 48 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (270 176 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (228 228 (:TYPE-PRESCRIPTION LENGTH))
 (195 65 (:REWRITE STR-FIX-DEFAULT))
 (138 23 (:REWRITE COMMUTATIVITY-2-OF-+))
 (128 128 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (128 128 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (124 124 (:REWRITE DEFAULT-UNARY-MINUS))
 (108 18 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (90 18 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (80 80 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (80 80 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (63 7 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (46 46 (:REWRITE FOLD-CONSTS-IN-+))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (36 36 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (36 36 (:TYPE-PRESCRIPTION D-E-P))
 (36 36 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (36 18 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (27 1 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (26 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-APPEND))
 (22 20 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (20 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (18 18 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (18 18 (:REWRITE SET::IN-SET))
 (16 16 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (16 8 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (12 4 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (9 9 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (5 5 (:REWRITE CONSP-OF-TAKE))
 (4 1 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (2 2 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 )
(GET-CC-CONTENTS-CORRECTNESS-3
 (21888 576 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (21744 1440 (:DEFINITION LEN))
 (20736 576 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (20448 864 (:REWRITE LENGTH-WHEN-STRINGP))
 (11952 3096 (:REWRITE STR::CONSP-OF-EXPLODE))
 (11520 144 (:REWRITE THEN-SUBSEQ-SAME-2))
 (11088 144 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (10800 144 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (10656 144 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (8784 8784 (:TYPE-PRESCRIPTION LEN))
 (8408 1682 (:REWRITE DEFAULT-CDR))
 (7632 144 (:DEFINITION TAKE))
 (6912 288 (:REWRITE TAKE-OF-LEN-FREE))
 (5760 576 (:DEFINITION UNSIGNED-BYTE-P))
 (5436 5436 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (5184 576 (:DEFINITION INTEGER-RANGE-P))
 (4500 2654 (:REWRITE DEFAULT-+-2))
 (3168 3168 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3136 1496 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3060 2654 (:REWRITE DEFAULT-+-1))
 (2725 2039 (:REWRITE DEFAULT-<-1))
 (2388 2039 (:REWRITE DEFAULT-<-2))
 (2232 1116 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2160 720 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2160 720 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2160 54 (:DEFINITION STRING-APPEND))
 (1784 242 (:REWRITE DEFAULT-CAR))
 (1640 1640 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1440 1440 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1188 54 (:DEFINITION BINARY-APPEND))
 (791 77 (:DEFINITION NATP))
 (756 108 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (732 132 (:REWRITE STR-FIX-WHEN-STRINGP))
 (720 720 (:LINEAR POSITION-WHEN-MEMBER))
 (720 720 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (604 604 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (576 576 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (432 144 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (408 68 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (402 134 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (400 200 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (332 132 (:REWRITE STR-FIX-DEFAULT))
 (324 96 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (288 288 (:TYPE-PRESCRIPTION LENGTH))
 (204 68 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (136 136 (:TYPE-PRESCRIPTION FAT32$C-P))
 (78 78 (:REWRITE DEFAULT-UNARY-MINUS))
 (77 77 (:TYPE-PRESCRIPTION NATP))
 )
(LENGTH-OF-GET-CC-CONTENTS
 (12992 168 (:REWRITE THEN-SUBSEQ-SAME-2))
 (11750 168 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (11174 168 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (11006 168 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (9738 1836 (:REWRITE DEFAULT-CDR))
 (9460 168 (:DEFINITION TAKE))
 (7888 336 (:REWRITE TAKE-OF-LEN-FREE))
 (6258 598 (:DEFINITION UNSIGNED-BYTE-P))
 (6098 3723 (:REWRITE DEFAULT-+-2))
 (5660 598 (:DEFINITION INTEGER-RANGE-P))
 (4397 3723 (:REWRITE DEFAULT-+-1))
 (3881 3146 (:REWRITE DEFAULT-<-1))
 (3604 3146 (:REWRITE DEFAULT-<-2))
 (3584 1690 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3496 3496 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3484 120 (:DEFINITION BINARY-APPEND))
 (3274 1376 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2998 288 (:REWRITE DEFAULT-CAR))
 (2370 790 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2370 790 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1894 1894 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1749 240 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1580 1580 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (790 790 (:LINEAR POSITION-WHEN-MEMBER))
 (790 790 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (405 135 (:REWRITE STR-FIX-DEFAULT))
 (336 336 (:TYPE-PRESCRIPTION LENGTH))
 (284 32 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (204 34 (:REWRITE COMMUTATIVITY-2-OF-+))
 (164 164 (:REWRITE DEFAULT-UNARY-MINUS))
 (68 68 (:REWRITE FOLD-CONSTS-IN-+))
 (48 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (26 26 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (16 16 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (16 16 (:TYPE-PRESCRIPTION STRINGP-OF-IMPLODE))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (16 16 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 )
(GET-CC-CONTENTS-OF-UPDATE-FATI
 (122936 3256 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (116598 7680 (:DEFINITION LEN))
 (116172 3256 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (108192 4564 (:REWRITE LENGTH-WHEN-STRINGP))
 (66225 17023 (:REWRITE STR::CONSP-OF-EXPLODE))
 (64275 857 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (63784 857 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (56858 857 (:REWRITE THEN-SUBSEQ-SAME-2))
 (54659 857 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (50034 41 (:REWRITE MEMBER-OF-FAT32-BUILD-INDEX-LIST))
 (47930 47930 (:TYPE-PRESCRIPTION LEN))
 (46374 9037 (:REWRITE DEFAULT-CDR))
 (42652 875 (:DEFINITION TAKE))
 (38202 1750 (:REWRITE TAKE-OF-LEN-FREE))
 (32200 3220 (:DEFINITION UNSIGNED-BYTE-P))
 (28980 3220 (:DEFINITION INTEGER-RANGE-P))
 (24642 14734 (:REWRITE DEFAULT-+-2))
 (17572 17572 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (16803 7845 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (16638 14734 (:REWRITE DEFAULT-+-1))
 (16091 12326 (:REWRITE DEFAULT-<-1))
 (14187 12326 (:REWRITE DEFAULT-<-2))
 (12188 6081 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (12042 4014 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12042 4014 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10760 1357 (:REWRITE DEFAULT-CAR))
 (8958 8958 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8028 8028 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7126 321 (:DEFINITION BINARY-APPEND))
 (4482 642 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (4014 4014 (:LINEAR POSITION-WHEN-MEMBER))
 (4014 4014 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3292 3292 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3114 3114 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (2752 384 (:DEFINITION NATP))
 (2596 394 (:REWRITE STR-FIX-WHEN-STRINGP))
 (2373 791 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (2274 758 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2118 353 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (2066 51 (:DEFINITION MEMBER-EQUAL))
 (1710 1710 (:TYPE-PRESCRIPTION LENGTH))
 (1683 875 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (1683 18 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (1312 144 (:REWRITE SUBSETP-MEMBER . 3))
 (1128 394 (:REWRITE STR-FIX-DEFAULT))
 (1086 362 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (756 136 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (724 724 (:TYPE-PRESCRIPTION FAT32$C-P))
 (668 668 (:REWRITE DEFAULT-UNARY-MINUS))
 (496 20 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (444 444 (:REWRITE FOLD-CONSTS-IN-+))
 (386 386 (:TYPE-PRESCRIPTION STRINGP-OF-GET-CC-CONTENTS))
 (384 384 (:TYPE-PRESCRIPTION NATP))
 (294 36 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (216 36 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (172 172 (:REWRITE SUBSETP-MEMBER . 2))
 (144 144 (:REWRITE SUBSETP-MEMBER . 4))
 (144 144 (:REWRITE INTERSECTP-MEMBER . 3))
 (144 144 (:REWRITE INTERSECTP-MEMBER . 2))
 (133 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (120 120 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (96 90 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (78 78 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (78 39 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (78 6 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-APPEND))
 (72 72 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (72 72 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (54 9 (:REWRITE NATP-OF-CLUSTER-SIZE . 3))
 (36 36 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (15 6 (:REWRITE STR::EQUAL-OF-EXPLODES))
 (10 5 (:REWRITE INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 )
(USELESS-D-E-P
 (90 2 (:DEFINITION TAKE))
 (87 4 (:REWRITE TAKE-OF-LEN-FREE))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (10 7 (:REWRITE DEFAULT-CDR))
 (10 5 (:REWRITE DEFAULT-+-2))
 (8 8 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER))
 (6 6 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 1 (:REWRITE LEN-OF-NATS=>CHARS))
 (5 5 (:REWRITE DEFAULT-+-1))
 (5 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 1 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-TAKE-AND-NTHCDR))
 (1 1 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-NOT-CONSP))
 )
(USELESS-D-E-P-OF-D-E-INSTALL-DIRECTORY-BIT
 (1470 42 (:REWRITE TAKE-OF-LEN-FREE))
 (1374 65 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (990 27 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (869 169 (:DEFINITION LEN))
 (861 21 (:DEFINITION TAKE))
 (828 828 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (720 27 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (623 4 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (558 186 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (558 186 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (535 4 (:REWRITE DEFAULT-CODE-CHAR))
 (507 18 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (390 30 (:REWRITE LEN-UPDATE-NTH))
 (386 22 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (372 372 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (353 4 (:REWRITE ZP-OPEN))
 (338 169 (:REWRITE DEFAULT-+-2))
 (336 173 (:REWRITE DEFAULT-<-2))
 (264 8 (:REWRITE BITOPS::INSTALL-BIT-WHEN-REDUNDANT))
 (214 173 (:REWRITE DEFAULT-<-1))
 (210 30 (:DEFINITION MAX))
 (205 23 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (190 190 (:REWRITE DEFAULT-CDR))
 (186 186 (:LINEAR POSITION-WHEN-MEMBER))
 (186 186 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (169 169 (:REWRITE DEFAULT-+-1))
 (168 8 (:DEFINITION LOGBIT$INLINE))
 (159 12 (:DEFINITION LENGTH))
 (144 72 (:TYPE-PRESCRIPTION TRUE-LISTP-SUBSEQ-TYPE-PRESCRIPTION))
 (144 8 (:DEFINITION LOGBITP))
 (126 42 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (123 27 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (120 8 (:DEFINITION ODDP))
 (120 5 (:REWRITE NATS=>CHARS-OF-TAKE))
 (96 8 (:DEFINITION EVENP))
 (90 90 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (86 86 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (81 18 (:REWRITE THEN-SUBSEQ-SAME-2))
 (80 80 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-15))
 (80 80 (:TYPE-PRESCRIPTION FLOOR))
 (72 72 (:TYPE-PRESCRIPTION STRINGP-SUBSEQ-TYPE-PRESCRIPTION))
 (70 2 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (68 23 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (68 23 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (66 66 (:TYPE-PRESCRIPTION BITOPS::NATP-INSTALL-BIT))
 (47 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (46 46 (:TYPE-PRESCRIPTION NAT-LISTP))
 (46 46 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (45 12 (:REWRITE LENGTH-WHEN-STRINGP))
 (40 8 (:REWRITE COMMUTATIVITY-OF-*))
 (36 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (32 16 (:REWRITE DEFAULT-*-2))
 (32 16 (:REWRITE DEFAULT-*-1))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (23 23 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (23 23 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (23 23 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (22 6 (:REWRITE LEN-OF-NATS=>CHARS))
 (21 21 (:REWRITE DEFAULT-CAR))
 (20 16 (:REWRITE NTH-WHEN-D-E-P . 2))
 (16 8 (:DEFINITION IFIX))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION LENGTH))
 (12 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION LOGBIT-TYPE))
 (8 8 (:REWRITE-QUOTED-CONSTANT BFIX-UNDER-BIT-EQUIV))
 (6 6 (:REWRITE NTH-WHEN-D-E-P . 3))
 (2 2 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 )
(USELESS-D-E-P-OF-D-E-SET-FILENAME
 (5 4 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION NFIX))
 )
(MAKE-D-E-LIST
 (2817 259 (:DEFINITION LEN))
 (2816 58 (:REWRITE TAKE-OF-LEN-FREE))
 (2148 29 (:DEFINITION TAKE))
 (1336 297 (:REWRITE DEFAULT-CDR))
 (804 520 (:REWRITE STR::CONSP-OF-EXPLODE))
 (790 790 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (698 16 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (536 277 (:REWRITE DEFAULT-+-2))
 (492 164 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (492 164 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (465 235 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (378 4 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (348 3 (:REWRITE LEN-OF-NTHCDR))
 (328 328 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (302 7 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (295 7 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (294 3 (:DEFINITION D-E-P))
 (286 19 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (277 277 (:REWRITE DEFAULT-+-1))
 (230 230 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (204 4 (:REWRITE NFIX-WHEN-NATP))
 (201 67 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (196 4 (:DEFINITION NATP))
 (180 7 (:REWRITE ZP-OPEN))
 (176 4 (:REWRITE NFIX-WHEN-ZP))
 (171 3 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (165 3 (:REWRITE CAR-OF-NTHCDR))
 (164 164 (:LINEAR POSITION-WHEN-MEMBER))
 (164 164 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (156 13 (:REWRITE CAR-OF-CHARS=>NATS))
 (153 3 (:REWRITE CONSP-OF-NTHCDR))
 (140 131 (:REWRITE DEFAULT-<-2))
 (135 131 (:REWRITE DEFAULT-<-1))
 (117 26 (:REWRITE DEFAULT-CAR))
 (104 4 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (98 1 (:REWRITE THEN-SUBSEQ-SAME-2))
 (93 6 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (52 13 (:REWRITE DEFAULT-CHAR-CODE))
 (52 13 (:REWRITE CONSP-OF-CHARS=>NATS))
 (44 44 (:TYPE-PRESCRIPTION TRUE-LISTP-SUBSEQ-TYPE-PRESCRIPTION))
 (34 34 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (30 15 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (27 9 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (9 3 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (6 6 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (6 3 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 )
(LEN-OF-MAKE-D-E-LIST
 (7629 49 (:DEFINITION TAKE))
 (5544 931 (:REWRITE STR::CONSP-OF-EXPLODE))
 (3845 618 (:REWRITE DEFAULT-CDR))
 (2000 2000 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1728 48 (:REWRITE MOVE-NEGATIVE-CONSTANT-1))
 (1560 39 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1438 28 (:REWRITE ZP-OPEN))
 (1380 28 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1275 654 (:REWRITE DEFAULT-+-2))
 (1266 422 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1266 422 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1250 16 (:REWRITE NFIX-WHEN-ZP))
 (1186 28 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1147 11 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (1122 14 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (1050 14 (:DEFINITION NTHCDR))
 (1040 524 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (844 844 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (762 3 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (738 654 (:REWRITE DEFAULT-+-1))
 (714 714 (:REWRITE EXPT-COMPARE-EQUAL))
 (714 714 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (690 690 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (690 690 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (690 690 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (690 690 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (690 690 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (672 12 (:REWRITE CAR-OF-NTHCDR))
 (660 24 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (636 12 (:REWRITE CONSP-OF-NTHCDR))
 (570 3 (:REWRITE NTH-OF-MAKE-CHARACTER-LIST))
 (516 516 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (502 37 (:REWRITE DEFAULT-CAR))
 (468 156 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (462 6 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (452 338 (:REWRITE DEFAULT-<-2))
 (422 422 (:LINEAR POSITION-WHEN-MEMBER))
 (422 422 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (418 338 (:REWRITE DEFAULT-<-1))
 (397 397 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (396 396 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (396 396 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (396 396 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (396 396 (:REWRITE EXPT-COMPARE))
 (353 17 (:REWRITE CAR-OF-CHARS=>NATS))
 (338 338 (:META CANCEL_PLUS-LESSP-CORRECT))
 (288 12 (:DEFINITION NFIX))
 (261 17 (:REWRITE CONSP-OF-CHARS=>NATS))
 (240 34 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (196 8 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (183 3 (:REWRITE CHARACTERP-NTH))
 (97 1 (:REWRITE FL-STRONG-MONOTONE))
 (74 74 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (72 12 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (69 15 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (68 68 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (68 68 (:TYPE-PRESCRIPTION CHARS=>NATS))
 (68 68 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (68 17 (:REWRITE DEFAULT-CHAR-CODE))
 (66 3 (:REWRITE CAR-OF-TAKE))
 (60 12 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (54 54 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (52 34 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 48 (:REWRITE COLLECT-CONSTANTS-IN-EQUAL-OF-SUMS))
 (43 24 (:REWRITE DEFAULT-*-2))
 (43 4 (:REWRITE FL-INT))
 (43 4 (:REWRITE A10))
 (36 12 (:REWRITE A4))
 (31 24 (:REWRITE DEFAULT-*-1))
 (30 30 (:REWRITE LEN-OF-TAKE))
 (28 28 (:REWRITE NONNEG-+))
 (27 27 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (24 12 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (24 6 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (18 18 (:TYPE-PRESCRIPTION TRUE-LISTP-SUBSEQ-TYPE-PRESCRIPTION))
 (18 18 (:TYPE-PRESCRIPTION TAKE))
 (18 18 (:TYPE-PRESCRIPTION SUBSEQ))
 (18 18 (:TYPE-PRESCRIPTION STRINGP-SUBSEQ-TYPE-PRESCRIPTION))
 (18 18 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (18 18 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (18 9 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (17 12 (:LINEAR *-WEAKLY-MONOTONIC-NEGATIVE-MULTIPLIER . 2))
 (16 16 (:TYPE-PRESCRIPTION ZP))
 (16 8 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (14 8 (:REWRITE INTEGERP-PROD))
 (12 12 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE SET::IN-SET))
 (12 12 (:REWRITE CONSP-OF-TAKE))
 (12 12 (:LINEAR *-WEAKLY-MONOTONIC-NEGATIVE-MULTIPLIER . 1))
 (12 12 (:LINEAR *-WEAKLY-MONOTONIC . 1))
 (12 12 (:LINEAR *-STRONGLY-MONOTONIC-NEGATIVE-MULTIPLIER . 2))
 (12 12 (:LINEAR *-STRONGLY-MONOTONIC-NEGATIVE-MULTIPLIER . 1))
 (12 12 (:LINEAR *-STRONGLY-MONOTONIC . 2))
 (12 12 (:LINEAR *-STRONGLY-MONOTONIC . 1))
 (12 4 (:REWRITE FL-OF-NON-RATIONAL))
 (8 8 (:REWRITE POWER2-INTEGER))
 (8 8 (:REWRITE INTEGERP-MINUS))
 (6 3 (:REWRITE LEN-OF-MAKE-CHARACTER-LIST))
 (5 5 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-15))
 (4 4 (:REWRITE FL-MINUS-GEN))
 (2 2 (:LINEAR FL-WEAKLY-MONOTONIC . 2))
 (2 2 (:LINEAR FL-WEAKLY-MONOTONIC . 1))
 (2 2 (:LINEAR FL-MONOTONE-LINEAR))
 (1 1 (:LINEAR N<=FL-LINEAR))
 )
(USEFUL-D-E-LIST-P
 (70 2 (:REWRITE TAKE-OF-LEN-FREE))
 (41 1 (:DEFINITION TAKE))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 1 (:REWRITE NATS=>CHARS-OF-TAKE))
 (20 20 (:TYPE-PRESCRIPTION LEN))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (15 3 (:DEFINITION LEN))
 (10 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 3 (:REWRITE DEFAULT-+-2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER))
 (5 5 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4 4 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION NFIX))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE DEFAULT-<-2))
 )
(D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P
 (2766 138 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1800 12 (:REWRITE DEFAULT-CODE-CHAR))
 (980 28 (:REWRITE TAKE-OF-LEN-FREE))
 (776 776 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (760 152 (:DEFINITION LEN))
 (574 14 (:DEFINITION TAKE))
 (540 180 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (540 180 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (521 79 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (495 45 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (391 229 (:REWRITE DEFAULT-<-2))
 (360 360 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (336 14 (:REWRITE NATS=>CHARS-OF-TAKE))
 (325 53 (:REWRITE SUBSETP-CAR-MEMBER))
 (304 152 (:REWRITE DEFAULT-+-2))
 (289 229 (:REWRITE DEFAULT-<-1))
 (225 45 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (183 183 (:REWRITE DEFAULT-CDR))
 (180 180 (:LINEAR POSITION-WHEN-MEMBER))
 (180 180 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (152 152 (:REWRITE DEFAULT-+-1))
 (150 30 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (98 21 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (81 81 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (77 21 (:REWRITE NTH-WHEN-D-E-P . 3))
 (76 7 (:DEFINITION MEMBER-EQUAL))
 (70 70 (:REWRITE DEFAULT-CAR))
 (45 45 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (45 45 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (45 45 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (45 45 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (45 45 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (41 41 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (41 41 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 14 (:REWRITE LEN-OF-NATS=>CHARS))
 (15 15 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (15 1 (:REWRITE SUBSETP-OF-CONS))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST
 (6972 98 (:REWRITE TAKE-OF-LEN-FREE))
 (4852 484 (:DEFINITION LEN))
 (4178 4 (:DEFINITION SUBSEQ))
 (4062 8 (:DEFINITION SUBSEQ-LIST))
 (3902 49 (:DEFINITION TAKE))
 (2300 563 (:REWRITE DEFAULT-CDR))
 (2069 87 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1720 1720 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1326 1326 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1225 777 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1113 371 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1113 371 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1096 40 (:LINEAR NTH-WHEN-D-E-P))
 (1040 532 (:REWRITE DEFAULT-+-2))
 (897 13 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (882 8 (:REWRITE LEN-OF-NTHCDR))
 (860 13 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (817 411 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (787 5 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (767 5 (:REWRITE DEFAULT-CODE-CHAR))
 (742 742 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (564 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (548 532 (:REWRITE DEFAULT-+-1))
 (488 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (468 328 (:REWRITE DEFAULT-<-2))
 (436 8 (:DEFINITION NTHCDR))
 (418 328 (:REWRITE DEFAULT-<-1))
 (406 406 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (371 371 (:LINEAR POSITION-WHEN-MEMBER))
 (371 371 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (368 2 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (356 8 (:REWRITE CAR-OF-NTHCDR))
 (354 118 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (350 8 (:REWRITE NFIX-WHEN-NATP))
 (344 8 (:REWRITE NFIX-WHEN-ZP))
 (324 8 (:REWRITE CONSP-OF-NTHCDR))
 (318 8 (:DEFINITION NATP))
 (300 20 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (296 2 (:REWRITE NTH-OF-MAKE-CHARACTER-LIST))
 (224 4 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (216 16 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (210 17 (:REWRITE CAR-OF-CHARS=>NATS))
 (197 59 (:REWRITE DEFAULT-CAR))
 (140 20 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (120 20 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (106 106 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (94 2 (:REWRITE CHARACTERP-NTH))
 (80 40 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (68 68 (:TYPE-PRESCRIPTION CHARS=>NATS))
 (68 17 (:REWRITE DEFAULT-CHAR-CODE))
 (67 13 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (66 17 (:REWRITE CONSP-OF-CHARS=>NATS))
 (64 16 (:REWRITE COMMUTATIVITY-OF-+))
 (56 8 (:DEFINITION NFIX))
 (48 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (40 40 (:TYPE-PRESCRIPTION NAT-LISTP))
 (40 40 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (40 40 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (40 40 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (40 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (34 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (32 8 (:REWRITE FOLD-CONSTS-IN-+))
 (31 31 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 10 (:REWRITE NTH-WHEN-D-E-P . 3))
 (20 20 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (20 20 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (20 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20 20 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (20 20 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (20 20 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (18 18 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (18 9 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (16 8 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (16 4 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (16 4 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (16 2 (:REWRITE CAR-OF-TAKE))
 (12 12 (:TYPE-PRESCRIPTION TAKE))
 (10 5 (:REWRITE LEN-OF-NATS=>CHARS))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE SET::IN-SET))
 (8 8 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE CONSP-OF-TAKE))
 (8 4 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (4 4 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 (4 2 (:REWRITE LEN-OF-MAKE-CHARACTER-LIST))
 )
(USEFUL-D-E-LIST-P-OF-CDR
 (225 11 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (208 8 (:LINEAR NTH-WHEN-D-E-P))
 (141 1 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (137 1 (:REWRITE DEFAULT-CODE-CHAR))
 (76 76 (:TYPE-PRESCRIPTION LEN))
 (70 2 (:REWRITE TAKE-OF-LEN-FREE))
 (60 60 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (60 12 (:DEFINITION LEN))
 (44 4 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (41 1 (:DEFINITION TAKE))
 (30 19 (:REWRITE DEFAULT-<-2))
 (28 28 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (24 12 (:REWRITE DEFAULT-+-2))
 (24 1 (:REWRITE NATS=>CHARS-OF-TAKE))
 (22 19 (:REWRITE DEFAULT-<-1))
 (20 20 (:TYPE-PRESCRIPTION NFIX))
 (20 4 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (14 14 (:REWRITE DEFAULT-CDR))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER))
 (14 14 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (12 12 (:REWRITE DEFAULT-+-1))
 (10 1 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (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 DEFAULT-CAR))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 1 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (2 2 (:REWRITE NTH-WHEN-D-E-P . 3))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE LEN-OF-NATS=>CHARS))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(USEFUL-D-E-LIST-P-CORRECTNESS-1
 (28742 1523 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (24191 224 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (22471 224 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (13454 104 (:REWRITE TAKE-OF-LEN-FREE))
 (10906 426 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (6807 48 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (6636 39 (:REWRITE THEN-SUBSEQ-SAME-2))
 (5964 5964 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (5445 39 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (5393 435 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (5030 48 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3711 2214 (:REWRITE STR::CONSP-OF-EXPLODE))
 (3264 1001 (:REWRITE DEFAULT-CDR))
 (2412 52 (:DEFINITION TAKE))
 (2225 435 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2225 435 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2220 2220 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2199 17 (:DEFINITION LENGTH))
 (1884 942 (:REWRITE DEFAULT-+-2))
 (1805 224 (:DEFINITION UNSIGNED-BYTE-P))
 (1765 18 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (1744 1744 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1581 224 (:DEFINITION INTEGER-RANGE-P))
 (1511 18 (:REWRITE DEFAULT-CODE-CHAR))
 (1509 503 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1509 503 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1006 1006 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (942 942 (:REWRITE DEFAULT-+-1))
 (907 907 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (894 149 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (870 870 (:TYPE-PRESCRIPTION NAT-LISTP))
 (870 870 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (812 812 (:TYPE-PRESCRIPTION TAKE))
 (554 401 (:REWRITE DEFAULT-<-1))
 (503 503 (:LINEAR POSITION-WHEN-MEMBER))
 (503 503 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (473 23 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (435 435 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (435 435 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (435 435 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (315 9 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (312 104 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (298 298 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (298 298 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (224 224 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (208 96 (:REWRITE DEFAULT-CAR))
 (149 149 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (146 8 (:REWRITE NATS=>CHARS-OF-TAKE))
 (63 9 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (33 33 (:TYPE-PRESCRIPTION LENGTH))
 (29 23 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (24 6 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (23 23 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20 20 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(REMOVE1-D-E
 (1425 22 (:REWRITE TAKE-OF-LEN-FREE))
 (1292 128 (:DEFINITION LEN))
 (835 11 (:DEFINITION TAKE))
 (571 145 (:REWRITE DEFAULT-CDR))
 (454 454 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (373 15 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (330 330 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (303 198 (:REWRITE STR::CONSP-OF-EXPLODE))
 (300 100 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (300 100 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (272 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (268 140 (:REWRITE DEFAULT-+-2))
 (260 6 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (256 8 (:LINEAR NTH-WHEN-D-E-P))
 (249 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (202 4 (:REWRITE THEN-SUBSEQ-SAME-2))
 (200 200 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (197 1 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (193 1 (:REWRITE DEFAULT-CODE-CHAR))
 (189 93 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (165 2 (:REWRITE LEN-OF-NTHCDR))
 (140 140 (:REWRITE DEFAULT-+-1))
 (134 4 (:REWRITE NFIX-WHEN-NATP))
 (126 4 (:REWRITE NFIX-WHEN-ZP))
 (126 4 (:DEFINITION NATP))
 (113 93 (:REWRITE DEFAULT-<-2))
 (102 93 (:REWRITE DEFAULT-<-1))
 (100 100 (:LINEAR POSITION-WHEN-MEMBER))
 (100 100 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (99 1 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (96 96 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (94 1 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (92 4 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (78 78 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (76 2 (:REWRITE CAR-OF-NTHCDR))
 (70 70 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (70 2 (:REWRITE CONSP-OF-NTHCDR))
 (58 2 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (54 4 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (44 4 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (40 40 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (36 3 (:REWRITE CAR-OF-CHARS=>NATS))
 (33 9 (:REWRITE DEFAULT-CAR))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (20 10 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (20 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (16 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (16 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (15 3 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (13 13 (:TYPE-PRESCRIPTION TRUE-LISTP-SUBSEQ-TYPE-PRESCRIPTION))
 (13 13 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (13 13 (:TYPE-PRESCRIPTION STRINGP-SUBSEQ-TYPE-PRESCRIPTION))
 (12 12 (:TYPE-PRESCRIPTION CHARS=>NATS))
 (12 3 (:REWRITE DEFAULT-CHAR-CODE))
 (12 3 (:REWRITE CONSP-OF-CHARS=>NATS))
 (12 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 2 (:REWRITE NTH-WHEN-D-E-P . 3))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 8 (:TYPE-PRESCRIPTION NAT-LISTP))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 2 (:REWRITE FOLD-CONSTS-IN-+))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE SET::IN-SET))
 (4 4 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 1 (:REWRITE LEN-OF-NATS=>CHARS))
 )
(STRINGP-OF-REMOVE1-D-E
 (6105 82 (:REWRITE TAKE-OF-LEN-FREE))
 (5893 537 (:DEFINITION LEN))
 (3173 41 (:DEFINITION TAKE))
 (2643 596 (:REWRITE DEFAULT-CDR))
 (1804 1804 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1656 1080 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1466 1466 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1104 567 (:REWRITE DEFAULT-+-2))
 (1016 502 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (954 318 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (954 318 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (945 20 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (925 20 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (897 10 (:REWRITE THEN-SUBSEQ-SAME-2))
 (893 15 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (792 8 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (752 8 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (718 21 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (636 636 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (580 5 (:REWRITE LEN-OF-NTHCDR))
 (567 567 (:REWRITE DEFAULT-+-1))
 (514 514 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (387 369 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (318 318 (:LINEAR POSITION-WHEN-MEMBER))
 (318 318 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (291 276 (:REWRITE DEFAULT-<-2))
 (291 97 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (283 276 (:REWRITE DEFAULT-<-1))
 (283 5 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (275 5 (:REWRITE CAR-OF-NTHCDR))
 (255 5 (:REWRITE NFIX-WHEN-NATP))
 (255 5 (:REWRITE CONSP-OF-NTHCDR))
 (245 5 (:DEFINITION NATP))
 (230 10 (:REWRITE ZP-OPEN))
 (220 5 (:REWRITE NFIX-WHEN-ZP))
 (216 18 (:REWRITE CAR-OF-CHARS=>NATS))
 (177 39 (:REWRITE DEFAULT-CAR))
 (155 10 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (87 21 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (72 72 (:TYPE-PRESCRIPTION CHARS=>NATS))
 (72 18 (:REWRITE DEFAULT-CHAR-CODE))
 (72 18 (:REWRITE CONSP-OF-CHARS=>NATS))
 (54 3 (:DEFINITION BINARY-APPEND))
 (50 25 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (32 32 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (27 27 (:TYPE-PRESCRIPTION TRUE-LISTP-SUBSEQ-TYPE-PRESCRIPTION))
 (24 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (22 22 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (22 22 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (22 11 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (21 3 (:REWRITE CAR-OF-TAKE))
 (15 5 (:REWRITE FOLD-CONSTS-IN-+))
 (15 5 (:DEFINITION NFIX))
 (9 9 (:REWRITE CONSP-OF-TAKE))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE LEN-OF-TAKE))
 (5 5 (:TYPE-PRESCRIPTION ZP))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 )
(REMOVE1-D-E
 (1875 173 (:DEFINITION LEN))
 (1732 44 (:REWRITE TAKE-OF-LEN-FREE))
 (1580 22 (:DEFINITION TAKE))
 (902 201 (:REWRITE DEFAULT-CDR))
 (607 607 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (548 548 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (543 350 (:REWRITE STR::CONSP-OF-EXPLODE))
 (403 13 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (358 185 (:REWRITE DEFAULT-+-2))
 (336 112 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (336 112 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (300 156 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (232 2 (:REWRITE LEN-OF-NTHCDR))
 (224 224 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (219 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (214 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (196 2 (:DEFINITION D-E-P))
 (190 2 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (185 185 (:REWRITE DEFAULT-+-1))
 (178 18 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (150 50 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (144 144 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (120 10 (:REWRITE CAR-OF-CHARS=>NATS))
 (114 2 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (112 112 (:LINEAR POSITION-WHEN-MEMBER))
 (112 112 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (110 2 (:REWRITE CAR-OF-NTHCDR))
 (107 107 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (102 3 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (102 2 (:REWRITE NFIX-WHEN-NATP))
 (102 2 (:REWRITE CONSP-OF-NTHCDR))
 (100 1 (:REWRITE THEN-SUBSEQ-SAME-2))
 (98 2 (:DEFINITION NATP))
 (92 4 (:REWRITE ZP-OPEN))
 (91 85 (:REWRITE DEFAULT-<-2))
 (90 20 (:REWRITE DEFAULT-CAR))
 (88 2 (:REWRITE NFIX-WHEN-ZP))
 (86 85 (:REWRITE DEFAULT-<-1))
 (63 63 (:TYPE-PRESCRIPTION TRUE-LISTP-SUBSEQ-TYPE-PRESCRIPTION))
 (62 4 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (40 40 (:TYPE-PRESCRIPTION CHARS=>NATS))
 (40 10 (:REWRITE DEFAULT-CHAR-CODE))
 (40 10 (:REWRITE CONSP-OF-CHARS=>NATS))
 (26 26 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (20 10 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (15 9 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (9 9 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 2 (:REWRITE FOLD-CONSTS-IN-+))
 (6 2 (:DEFINITION NFIX))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 )
(MAKE-D-E-LIST-OF-REMOVE1-D-E
 (1415571 62665 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (572349 3609 (:DEFINITION TAKE))
 (364325 52336 (:REWRITE DEFAULT-CDR))
 (353632 18021 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (265606 7608 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (175487 1515 (:REWRITE CAR-OF-NTHCDR))
 (128999 7608 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (124270 1790 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (119658 702 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (108272 108272 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (97403 52450 (:REWRITE DEFAULT-+-2))
 (88341 2232 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (87033 386 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (75743 7608 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (75743 7608 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (67289 1519 (:REWRITE CONSP-OF-NTHCDR))
 (65049 21683 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (65049 21683 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (58532 84 (:REWRITE NTH-OF-MAKE-CHARACTER-LIST))
 (55355 2978 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (52650 52450 (:REWRITE DEFAULT-+-1))
 (51273 3253 (:REWRITE NFIX-WHEN-ZP))
 (48543 84 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (45396 448 (:REWRITE NATS=>CHARS-OF-NTHCDR))
 (43366 43366 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (38585 523 (:REWRITE NTH-OF-CHARS=>NATS))
 (35820 35820 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (33747 33747 (:TYPE-PRESCRIPTION STRINGP-OF-STR-FIX))
 (33740 2163 (:REWRITE DEFAULT-CAR))
 (32310 10770 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (29229 1011 (:REWRITE CAR-OF-CHARS=>NATS))
 (29225 24326 (:REWRITE DEFAULT-<-2))
 (26423 24326 (:REWRITE DEFAULT-<-1))
 (21683 21683 (:LINEAR POSITION-WHEN-MEMBER))
 (21683 21683 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (20990 607 (:REWRITE CHARACTERP-NTH))
 (15756 156 (:REWRITE NTHCDR-OF-NTHCDR))
 (15216 15216 (:TYPE-PRESCRIPTION NAT-LISTP))
 (15216 15216 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (14797 2132 (:REWRITE CONSP-OF-CHARS=>NATS))
 (13296 113 (:REWRITE THEN-SUBSEQ-SAME-2))
 (13037 485 (:REWRITE UNSIGNED-BYTE-LISTP-OF-NTHCDR))
 (12203 170 (:REWRITE CAR-OF-TAKE))
 (11245 499 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (10555 75 (:REWRITE CHARS=>NATS-OF-NTHCDR))
 (10104 1866 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (9797 1534 (:REWRITE DEFAULT-CHAR-CODE))
 (9562 364 (:REWRITE NTH-OF-NTHCDR))
 (9351 9351 (:TYPE-PRESCRIPTION CHARS=>NATS))
 (8354 62 (:REWRITE DEFAULT-CODE-CHAR))
 (7608 7608 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (7608 7608 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (7608 7608 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7120 502 (:REWRITE CONSP-OF-TAKE))
 (6336 462 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3442 3442 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (2746 2746 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (2746 1373 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (2649 69 (:DEFINITION BINARY-APPEND))
 (2640 264 (:REWRITE CHARACTER-LISTP-OF-NTHCDR))
 (2244 462 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1690 234 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1680 1680 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1428 36 (:REWRITE CDR-OF-LIST-FIX))
 (1372 96 (:REWRITE LEN-OF-LIST-FIX))
 (1225 1225 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1098 234 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (924 924 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (634 634 (:TYPE-PRESCRIPTION ZP))
 (485 485 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-TAKE-AND-NTHCDR))
 (432 432 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (432 216 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (276 46 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (264 24 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (252 168 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (234 234 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (230 46 (:REWRITE NTH-WHEN-D-E-P . 3))
 (216 216 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (216 216 (:REWRITE SET::IN-SET))
 (108 6 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (84 6 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (72 6 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (42 42 (:REWRITE LIST-FIX-UNDER-LIST-EQUIV))
 (28 14 (:REWRITE LEN-OF-MAKE-CHARACTER-LIST))
 )
(D-E-CC)
(TRUE-LISTP-OF-D-E-CC
 (6 1 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (5 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE SET::IN-SET))
 )
(FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 )
(D-E-CC-OF-UPDATE-FATI
 (306 24 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (289 7 (:DEFINITION MEMBER-EQUAL))
 (209 14 (:REWRITE MEMBER-WHEN-ATOM))
 (148 22 (:REWRITE ZP-OPEN))
 (117 117 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (79 47 (:REWRITE DEFAULT-<-2))
 (72 72 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (63 21 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (60 60 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (56 47 (:REWRITE DEFAULT-<-1))
 (48 48 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (48 6 (:REWRITE MEMBER-OF-FAT32-BUILD-INDEX-LIST))
 (36 22 (:REWRITE DEFAULT-+-2))
 (33 11 (:REWRITE DEFAULT-CDR))
 (33 11 (:REWRITE DEFAULT-CAR))
 (30 30 (:TYPE-PRESCRIPTION INTEGERP-OF-GET-CC-CONTENTS))
 (30 22 (:REWRITE DEFAULT-+-1))
 (18 3 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (14 14 (:REWRITE SUBSETP-MEMBER . 4))
 (14 14 (:REWRITE SUBSETP-MEMBER . 3))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 1))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 3))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 2))
 (14 14 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (9 3 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION INTEGERP-OF-FAT32-BUILD-INDEX-LIST))
 (6 6 (:TYPE-PRESCRIPTION FAT32$C-P))
 (6 6 (:REWRITE GET-CC-CONTENTS-CORRECTNESS-2))
 (6 2 (:DEFINITION NATP))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(D-E-CC-UNDER-IFF
 (26 13 (:REWRITE DEFAULT-<-2))
 (20 4 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (13 13 (:REWRITE DEFAULT-<-1))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 )
(INTEGER-LISTP-OF-D-E-CC
 (11 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (5 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION NAT-LISTP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-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))
 )
(D-E-CC-CONTENTS)
(STRINGP-OF-D-E-CC-CONTENTS
 (3 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 )
(LENGTH-OF-D-E-CC-CONTENTS
 (64 13 (:REWRITE DEFAULT-CDR))
 (37 15 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (28 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (26 13 (:REWRITE DEFAULT-+-2))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (13 13 (:REWRITE DEFAULT-+-1))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10 2 (:DEFINITION UNSIGNED-BYTE-P))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 2 (:DEFINITION INTEGER-RANGE-P))
 (6 4 (:REWRITE DEFAULT-<-2))
 (5 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(D-E-CC-CORRECTNESS-1
 (6 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE DEFAULT-<-2))
 )
(D-E-CC-CONTENTS-OF-UPDATE-FATI
 (10 1 (:DEFINITION MEMBER-EQUAL))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(INTEGERP-OF-D-E-CC-CONTENTS
 (2 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(D-E-LIST-FROM-FIRST-CLUSTER)
(USEFUL-D-E-LIST-P-OF-D-E-LIST-FROM-FIRST-CLUSTER)
(SUBDIR-CONTENTS-P)
(LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P
 (5698 2 (:DEFINITION GET-CC-CONTENTS))
 (2538 6 (:DEFINITION SUBSEQ))
 (2502 6 (:DEFINITION SUBSEQ-LIST))
 (2134 38 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (2101 95 (:DEFINITION LEN))
 (2058 38 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1574 178 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1038 6 (:REWRITE THEN-SUBSEQ-SAME-2))
 (1020 6 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (972 6 (:DEFINITION TAKE))
 (804 12 (:REWRITE TAKE-OF-LEN-FREE))
 (684 38 (:DEFINITION UNSIGNED-BYTE-P))
 (624 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (622 103 (:REWRITE DEFAULT-CDR))
 (618 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (608 38 (:DEFINITION INTEGER-RANGE-P))
 (576 576 (:TYPE-PRESCRIPTION STRINGP-OF-STR-FIX))
 (402 14 (:REWRITE ZP-OPEN))
 (328 8 (:REWRITE NFIX-WHEN-ZP))
 (324 324 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (324 12 (:REWRITE MOVE-NEGATIVE-CONSTANT-1))
 (304 174 (:REWRITE DEFAULT-+-2))
 (299 299 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (295 1 (:REWRITE FL-STRONG-MONOTONE))
 (210 71 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (207 69 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (207 69 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (200 174 (:REWRITE DEFAULT-+-1))
 (197 83 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (184 124 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (178 8 (:REWRITE NFIX-WHEN-NATP))
 (177 109 (:REWRITE DEFAULT-<-1))
 (156 109 (:REWRITE DEFAULT-<-2))
 (154 8 (:REWRITE DEFAULT-CAR))
 (144 6 (:DEFINITION NATP))
 (143 143 (:REWRITE EXPT-COMPARE-EQUAL))
 (143 143 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (138 138 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (137 137 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (137 137 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (137 137 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (137 137 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (137 137 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (136 6 (:REWRITE REARRANGE-NEGATIVE-COEFS-<))
 (126 126 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (124 124 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (124 124 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (124 124 (:REWRITE EXPT-COMPARE))
 (124 4 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (122 2 (:DEFINITION STRING-APPEND))
 (120 120 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (118 22 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (109 109 (:META CANCEL_PLUS-LESSP-CORRECT))
 (72 24 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (69 69 (:LINEAR POSITION-WHEN-MEMBER))
 (69 69 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (64 2 (:DEFINITION NFIX))
 (60 6 (:DEFINITION MIN))
 (58 2 (:DEFINITION BINARY-APPEND))
 (56 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (53 5 (:REWRITE FL-INT))
 (53 5 (:REWRITE A10))
 (52 14 (:REWRITE COLLECT-CONSTANTS-IN-<-OF-SUMS))
 (52 1 (:REWRITE FL-WEAK-MONOTONE))
 (52 1 (:REWRITE FL-<=-Y))
 (38 38 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (38 38 (:REWRITE EXPT-EXECUTE-REWRITE))
 (35 21 (:REWRITE DEFAULT-*-1))
 (34 2 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (30 12 (:REWRITE UNICITY-OF-0))
 (30 2 (:LINEAR LENGTH-OF-GET-CC-CONTENTS . 2))
 (25 21 (:REWRITE DEFAULT-*-2))
 (18 18 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (18 6 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (16 16 (:TYPE-PRESCRIPTION INTEGERP-OF-GET-CC-CONTENTS))
 (16 16 (:REWRITE POWER2-INTEGER))
 (16 16 (:REWRITE INTEGERP-MINUS))
 (16 10 (:REWRITE INTEGERP-PROD))
 (15 5 (:REWRITE FL-OF-NON-RATIONAL))
 (14 14 (:TYPE-PRESCRIPTION NFIX))
 (14 14 (:TYPE-PRESCRIPTION FAT-ENTRY-COUNT))
 (12 12 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-15))
 (12 12 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (12 12 (:TYPE-PRESCRIPTION LENGTH))
 (12 12 (:REWRITE COLLECT-CONSTANTS-IN-EQUAL-OF-SUMS))
 (12 6 (:REWRITE UNICITY-OF-1))
 (10 10 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (8 8 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (8 8 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (8 8 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 (8 4 (:REWRITE NONNEG-+))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION FAT32$C-P))
 (6 6 (:DEFINITION NTHCDR))
 (6 2 (:REWRITE STR-FIX-DEFAULT))
 (6 2 (:REWRITE A2))
 (5 5 (:REWRITE FL-MINUS-GEN))
 (4 4 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL-WITH-0))
 (2 2 (:TYPE-PRESCRIPTION FAT32-IS-EOF))
 (2 2 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (2 2 (:LINEAR FL-WEAKLY-MONOTONIC . 2))
 (2 2 (:LINEAR FL-WEAKLY-MONOTONIC . 1))
 (2 2 (:LINEAR FL-MONOTONE-LINEAR))
 (2 2 (:LINEAR *-WEAKLY-MONOTONIC-NEGATIVE-MULTIPLIER . 2))
 (2 2 (:LINEAR *-WEAKLY-MONOTONIC-NEGATIVE-MULTIPLIER . 1))
 (2 2 (:LINEAR *-WEAKLY-MONOTONIC . 2))
 (2 2 (:LINEAR *-WEAKLY-MONOTONIC . 1))
 (2 2 (:LINEAR *-STRONGLY-MONOTONIC-NEGATIVE-MULTIPLIER . 2))
 (2 2 (:LINEAR *-STRONGLY-MONOTONIC-NEGATIVE-MULTIPLIER . 1))
 (2 2 (:LINEAR *-STRONGLY-MONOTONIC . 2))
 (2 2 (:LINEAR *-STRONGLY-MONOTONIC . 1))
 (1 1 (:LINEAR N<=FL-LINEAR))
 )
(FIND-D-E
 (12 3 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 1 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (2 2 (:TYPE-PRESCRIPTION D-E-FIX))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(FIND-D-E-CORRECTNESS-1
 (56 4 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (36 4 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (14 14 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (12 4 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (8 8 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (7 7 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(FIND-D-E-CORRECTNESS-2
 (112 8 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (72 8 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (24 8 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (16 16 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 16 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (16 16 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (11 11 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(D-E-FILENAME-OF-FIND-D-E
 (294 21 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (189 21 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (63 21 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (42 42 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (42 42 (:TYPE-PRESCRIPTION D-E-P))
 (42 42 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (42 42 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (25 25 (:REWRITE DEFAULT-CAR))
 (21 21 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE DEFAULT-CDR))
 )
(D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15
 (140 10 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (90 10 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (75 9 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (30 10 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (20 20 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (20 20 (:TYPE-PRESCRIPTION D-E-P))
 (20 20 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (20 20 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (13 13 (:REWRITE DEFAULT-CAR))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE DEFAULT-CDR))
 )
(NOT-USELESS-D-E-P-OF-FIND-D-E
 (2016 97 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1898 73 (:LINEAR NTH-WHEN-D-E-P))
 (1650 12 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1612 9 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1128 8 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (1096 8 (:REWRITE DEFAULT-CODE-CHAR))
 (662 662 (:TYPE-PRESCRIPTION LEN))
 (560 16 (:REWRITE TAKE-OF-LEN-FREE))
 (525 105 (:DEFINITION LEN))
 (516 516 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (385 35 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (363 121 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (363 121 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (328 8 (:DEFINITION TAKE))
 (261 164 (:REWRITE DEFAULT-<-2))
 (242 242 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (210 105 (:REWRITE DEFAULT-+-2))
 (192 8 (:REWRITE NATS=>CHARS-OF-TAKE))
 (188 164 (:REWRITE DEFAULT-<-1))
 (178 178 (:TYPE-PRESCRIPTION NFIX))
 (175 35 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (121 121 (:LINEAR POSITION-WHEN-MEMBER))
 (121 121 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (119 119 (:REWRITE DEFAULT-CDR))
 (105 105 (:REWRITE DEFAULT-+-1))
 (58 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (40 40 (:REWRITE DEFAULT-CAR))
 (35 35 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (35 35 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (35 35 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (35 35 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (35 35 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (32 16 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (24 24 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (24 24 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (16 16 (:REWRITE NTH-WHEN-D-E-P . 3))
 (16 8 (:REWRITE LEN-OF-NATS=>CHARS))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 4 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (8 2 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (5 5 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(LOFAT-TO-HIFAT-HELPER
 (165 21 (:REWRITE NFIX-WHEN-ZP))
 (138 34 (:REWRITE ZP-OPEN))
 (124 101 (:REWRITE DEFAULT-<-1))
 (113 101 (:REWRITE DEFAULT-<-2))
 (83 69 (:REWRITE DEFAULT-+-2))
 (71 69 (:REWRITE DEFAULT-+-1))
 (43 11 (:DEFINITION NATP))
 (42 42 (:REWRITE DEFAULT-CAR))
 (36 12 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (22 20 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (15 15 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (13 13 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:REWRITE FOLD-CONSTS-IN-+))
 (8 7 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1
 (46916 1464 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (39220 1606 (:DEFINITION FIND-D-E))
 (25454 1606 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (21960 1464 (:DEFINITION MEMBER-EQUAL))
 (19129 1719 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (18940 5836 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (17287 14249 (:REWRITE DEFAULT-+-2))
 (16548 14249 (:REWRITE DEFAULT-+-1))
 (14640 2928 (:REWRITE SUBSETP-CAR-MEMBER))
 (14590 14590 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12598 12578 (:REWRITE DEFAULT-CDR))
 (11698 5836 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (11567 1719 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (10082 10082 (:REWRITE DEFAULT-CAR))
 (9384 7589 (:REWRITE DEFAULT-<-1))
 (8772 2193 (:DEFINITION BINARY-APPEND))
 (8226 7589 (:REWRITE DEFAULT-<-2))
 (8005 1623 (:REWRITE ZP-OPEN))
 (7804 4888 (:REWRITE FOLD-CONSTS-IN-+))
 (7375 197 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7337 7295 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (7295 7295 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (7280 1456 (:REWRITE SUBSETP-CONS-2))
 (7098 2366 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (6794 6794 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (6741 879 (:REWRITE NFIX-WHEN-ZP))
 (6051 133 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (5836 5836 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (5836 5836 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (5836 5836 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (5290 875 (:REWRITE ASSOCIATIVITY-OF-+))
 (4113 64 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3438 3438 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2928 2928 (:REWRITE SUBSETP-MEMBER . 4))
 (2928 2928 (:REWRITE SUBSETP-MEMBER . 3))
 (2928 2928 (:REWRITE SUBSETP-MEMBER . 2))
 (2928 2928 (:REWRITE SUBSETP-MEMBER . 1))
 (2928 2928 (:REWRITE MEMBER-WHEN-ATOM))
 (2928 2928 (:REWRITE INTERSECTP-MEMBER . 3))
 (2928 2928 (:REWRITE INTERSECTP-MEMBER . 2))
 (2922 2922 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (2922 2922 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (2922 2922 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (2750 2750 (:TYPE-PRESCRIPTION D-E-P))
 (2217 739 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (2062 2062 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (1675 1655 (:REWRITE DEFAULT-UNARY-MINUS))
 (1606 1606 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (1582 113 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1487 1487 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1478 1478 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1464 1464 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1374 1374 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1031 1031 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (918 918 (:REWRITE D-E-FILENAME-OF-D-E-FIX))
 (864 196 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (783 261 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (783 261 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (688 688 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (522 522 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (498 83 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (495 165 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (455 437 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (453 453 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (374 374 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (372 372 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (261 261 (:LINEAR POSITION-WHEN-MEMBER))
 (261 261 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (243 81 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (209 128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (176 176 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (166 166 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (166 83 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (138 46 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (128 128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (128 128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (120 20 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (113 47 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (83 83 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (83 83 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (83 83 (:REWRITE SET::IN-SET))
 (81 27 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (64 64 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (7 7 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 )
(M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER
 (59855 1276 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (54446 204 (:DEFINITION FAT32-FILENAME-P))
 (28045 67 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (27844 67 (:DEFINITION HIFAT-NO-DUPS-P))
 (26581 2020 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (24839 932 (:REWRITE TAKE-OF-LEN-FREE))
 (19106 466 (:DEFINITION TAKE))
 (17026 356 (:REWRITE LENGTH-WHEN-STRINGP))
 (15786 356 (:REWRITE DEFAULT-CODE-CHAR))
 (14171 2311 (:DEFINITION LEN))
 (12784 12784 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8582 534 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (8190 2730 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (8190 2730 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (7420 356 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (6315 3573 (:REWRITE DEFAULT-+-2))
 (6010 174 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5953 4638 (:REWRITE DEFAULT-CDR))
 (5612 172 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (5460 5460 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (4024 534 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (3812 3573 (:REWRITE DEFAULT-+-1))
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 (3188 3188 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
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 (2796 932 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
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 (2728 2728 (:LINEAR POSITION-WHEN-MEMBER))
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 (534 534 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
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 (402 67 (:DEFINITION ASSOC-EQUAL))
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 (201 67 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (201 67 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (201 65 (:DEFINITION NATP))
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 (160 160 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (134 67 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (134 67 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (134 67 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (132 132 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (118 118 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
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 (80 80 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (77 77 (:TYPE-PRESCRIPTION NATP))
 (67 67 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (67 67 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
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 (56 56 (:TYPE-PRESCRIPTION LOFAT-FS-P))
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 (20 20 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
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 (8 8 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
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 )
(HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER-LEMMA-1
 (8212 256 (:DEFINITION NO-DUPLICATESP-EQUAL))
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 (2906 2432 (:REWRITE DEFAULT-+-1))
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 (2488 2488 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2280 2268 (:REWRITE DEFAULT-CDR))
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 (1992 992 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (1962 1962 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (1740 580 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (1672 1342 (:REWRITE DEFAULT-<-2))
 (1672 1342 (:REWRITE DEFAULT-<-1))
 (1631 301 (:REWRITE ZP-OPEN))
 (1472 368 (:DEFINITION BINARY-APPEND))
 (1384 148 (:REWRITE NFIX-WHEN-ZP))
 (1304 804 (:REWRITE FOLD-CONSTS-IN-+))
 (1268 1244 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1244 1244 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
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 (992 992 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (992 992 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (992 992 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (904 136 (:REWRITE ASSOCIATIVITY-OF-+))
 (812 812 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (776 776 (:TYPE-PRESCRIPTION D-E-P))
 (740 740 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (672 54 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
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 (512 512 (:REWRITE SUBSETP-MEMBER . 3))
 (512 512 (:REWRITE SUBSETP-MEMBER . 2))
 (512 512 (:REWRITE SUBSETP-MEMBER . 1))
 (512 512 (:REWRITE MEMBER-WHEN-ATOM))
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 (500 500 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (500 500 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (396 132 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (396 128 (:DEFINITION NATP))
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 (256 256 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (228 228 (:TYPE-PRESCRIPTION NFIX))
 (170 38 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
 (152 152 (:TYPE-PRESCRIPTION NATP))
 (116 116 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (116 44 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (112 112 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (108 36 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (88 88 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (84 84 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (54 54 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (52 52 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (48 16 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (44 44 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (42 42 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (24 6 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (12 4 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE))
 (6 6 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (2 2 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 )
(HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER
 (2032450 884 (:DEFINITION USEFUL-D-E-LIST-P))
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 (1446400 6596 (:DEFINITION CHAR))
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 (1360050 178 (:DEFINITION FIND-D-E))
 (1357350 1106 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1262228 7105 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1242020 884 (:DEFINITION USELESS-D-E-P))
 (1156348 2414 (:DEFINITION FAT32-FILENAME-P))
 (1032004 6336 (:REWRITE NTH-OF-NATS=>CHARS))
 (948052 53600 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (881816 34336 (:LINEAR NTH-WHEN-D-E-P))
 (625176 9234 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (615328 8620 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (544736 6336 (:REWRITE DEFAULT-CODE-CHAR))
 (461792 17240 (:REWRITE TAKE-OF-LEN-FREE))
 (358192 6336 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (353420 8620 (:DEFINITION TAKE))
 (306584 306584 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (282316 55724 (:DEFINITION LEN))
 (246896 2638 (:REWRITE LENGTH-WHEN-STRINGP))
 (226095 221 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (221748 6336 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (219524 113 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
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 (219497 113 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (204078 68026 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
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 (175252 15584 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
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 (68024 68024 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (8620 8620 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8052 244 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
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 (7368 3684 (:REWRITE LEN-OF-NATS=>CHARS))
 (7218 466 (:DEFINITION MEMBER-EQUAL))
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 (4124 220 (:DEFINITION UNSIGNED-BYTE-P))
 (4115 2089 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3904 220 (:DEFINITION INTEGER-RANGE-P))
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 (2200 18 (:LINEAR LEN-OF-EXPLODE-OF-M1-FILE-CONTENTS-FIX))
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 (684 684 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
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 (536 536 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
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 (478 73 (:REWRITE ASSOCIATIVITY-OF-+))
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 (339 113 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (323 323 (:TYPE-PRESCRIPTION M1-FILE-P))
 (300 113 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (270 270 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (270 270 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (270 270 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (213 69 (:DEFINITION NATP))
 (207 69 (:DEFINITION NFIX))
 (204 204 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (178 178 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (170 148 (:REWRITE DEFAULT-UNARY-MINUS))
 (162 162 (:REWRITE D-E-FILENAME-OF-D-E-FIX))
 (120 120 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (118 118 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (113 113 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (113 113 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (102 102 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (81 81 (:TYPE-PRESCRIPTION NATP))
 (56 56 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (54 18 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (24 8 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (22 22 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (20 20 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (8 8 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (6 2 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (2 2 (:REWRITE M1-FILE-P-OF-M1-FILE))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 )
(LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3
 (23510 734 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (15440 808 (:DEFINITION FIND-D-E))
 (11836 793 (:DEFINITION MEMBER-EQUAL))
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 (8976 808 (:REWRITE D-E-FIX-WHEN-D-E-P))
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 (7526 7526 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (5834 2916 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (5753 809 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (5663 5582 (:REWRITE DEFAULT-CAR))
 (4384 1096 (:DEFINITION BINARY-APPEND))
 (4267 3453 (:REWRITE DEFAULT-<-1))
 (4132 2546 (:REWRITE FOLD-CONSTS-IN-+))
 (4104 772 (:REWRITE ZP-OPEN))
 (3863 809 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (3844 3453 (:REWRITE DEFAULT-<-2))
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 (2916 2916 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
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 (2916 2916 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (2904 434 (:REWRITE ASSOCIATIVITY-OF-+))
 (2610 81 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1618 1618 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
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 (955 50 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (888 803 (:REWRITE DEFAULT-UNARY-MINUS))
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 (808 808 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
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 (584 82 (:DEFINITION ASSOC-EQUAL))
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 (515 59 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (390 15 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (359 359 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (300 60 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (222 222 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (213 213 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (198 66 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (193 71 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (187 71 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (177 59 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (120 120 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (114 3 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (96 2 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (87 29 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (87 29 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (82 82 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (82 22 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (78 26 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (63 1 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (60 60 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (59 59 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (59 59 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (58 58 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (51 51 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (45 5 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (40 40 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (37 19 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (35 1 (:DEFINITION TRUE-LIST-LISTP))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER))
 (19 19 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (15 5 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 2))
 (15 5 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (14 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (8 2 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (7 7 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (7 7 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (7 1 (:DEFINITION ALISTP))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (6 1 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (5 1 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (5 1 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (4 4 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (4 4 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(TRUE-LISTP-OF-LOFAT-TO-HIFAT-HELPER)
(LOFAT-TO-HIFAT-HELPER
 (620 10 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (287 29 (:REWRITE ZP-OPEN))
 (214 213 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (213 213 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (204 12 (:DEFINITION FIND-D-E))
 (196 44 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (190 10 (:DEFINITION MEMBER-EQUAL))
 (184 128 (:REWRITE DEFAULT-<-1))
 (176 109 (:REWRITE DEFAULT-+-2))
 (170 128 (:REWRITE DEFAULT-<-2))
 (160 20 (:REWRITE SUBSETP-CAR-MEMBER))
 (155 18 (:REWRITE NFIX-WHEN-ZP))
 (150 12 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (139 109 (:REWRITE DEFAULT-+-1))
 (114 84 (:REWRITE DEFAULT-CAR))
 (114 72 (:REWRITE DEFAULT-CDR))
 (108 12 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (105 3 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (84 84 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (54 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (54 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (50 20 (:REWRITE MEMBER-WHEN-ATOM))
 (48 48 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (48 48 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (48 3 (:DEFINITION LEN))
 (34 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (30 12 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (28 6 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (21 6 (:REWRITE STR::CONSP-OF-EXPLODE))
 (20 20 (:REWRITE SUBSETP-MEMBER . 4))
 (20 20 (:REWRITE SUBSETP-MEMBER . 3))
 (20 20 (:REWRITE SUBSETP-MEMBER . 2))
 (20 20 (:REWRITE SUBSETP-MEMBER . 1))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 3))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (12 12 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (12 12 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (12 12 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (12 12 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (12 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (12 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (12 3 (:DEFINITION BINARY-APPEND))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (10 2 (:REWRITE SUBSETP-CONS-2))
 (9 9 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (9 3 (:REWRITE UPDATE-BPB_SECPERCLUS-CORRECTNESS-2 . 3))
 (9 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (7 1 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (6 6 (:REWRITE FOLD-CONSTS-IN-+))
 (6 3 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3 3 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (3 3 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 2))
 )
(LOFAT-TO-HIFAT-HELPER-CORRECTNESS-4
 (81828 3143 (:DEFINITION FIND-D-E))
 (54364 3153 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (47636 1959 (:REWRITE NFIX-WHEN-ZP))
 (39367 3148 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (34405 25490 (:REWRITE DEFAULT-+-2))
 (30667 25490 (:REWRITE DEFAULT-+-1))
 (23015 3148 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (21469 10471 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (20807 20403 (:REWRITE DEFAULT-CDR))
 (17585 14388 (:REWRITE DEFAULT-<-1))
 (16803 14388 (:REWRITE DEFAULT-<-2))
 (16700 16296 (:REWRITE DEFAULT-CAR))
 (15804 3951 (:DEFINITION BINARY-APPEND))
 (10471 10471 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (10471 10471 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (10471 10471 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (8659 7981 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (7981 7981 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6296 6296 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (5548 5548 (:TYPE-PRESCRIPTION D-E-P))
 (5291 5291 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (4800 4800 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (3644 3072 (:REWRITE DEFAULT-UNARY-MINUS))
 (3143 3143 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (2861 594 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (2702 2702 (:REWRITE SUBSETP-MEMBER . 4))
 (2702 2702 (:REWRITE SUBSETP-MEMBER . 3))
 (2702 2702 (:REWRITE SUBSETP-MEMBER . 2))
 (2702 2702 (:REWRITE SUBSETP-MEMBER . 1))
 (2702 2702 (:REWRITE MEMBER-WHEN-ATOM))
 (2702 2702 (:REWRITE INTERSECTP-MEMBER . 3))
 (2702 2702 (:REWRITE INTERSECTP-MEMBER . 2))
 (2400 2400 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (2395 2395 (:REWRITE D-E-FILENAME-OF-D-E-FIX))
 (2195 2195 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1712 1712 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1583 581 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (878 58 (:REWRITE SUBSETP-APPEND1))
 (718 266 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (476 238 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (387 129 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (297 297 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (297 297 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER))
 (238 238 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (75 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (72 72 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (40 20 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (39 39 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-17)
(LOFAT-TO-HIFAT-HELPER-OF-UPDATE-FATI
 (68873 3083 (:DEFINITION FIND-D-E))
 (59757 3898 (:DEFINITION MEMBER-EQUAL))
 (53829 1614 (:REWRITE NFIX-WHEN-ZP))
 (52860 8650 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (44209 3083 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (40045 133 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (39784 38046 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (39334 37792 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (33432 25394 (:REWRITE DEFAULT-+-2))
 (32737 32468 (:REWRITE DEFAULT-CDR))
 (30255 25394 (:REWRITE DEFAULT-+-1))
 (28302 28033 (:REWRITE DEFAULT-CAR))
 (19243 19243 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (19243 19243 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (19243 19243 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (16807 13738 (:REWRITE DEFAULT-<-1))
 (16153 13738 (:REWRITE DEFAULT-<-2))
 (16120 4030 (:DEFINITION BINARY-APPEND))
 (12332 12332 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (8528 6356 (:REWRITE SUBSETP-MEMBER . 3))
 (8458 8458 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (8294 8294 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (8238 8238 (:REWRITE INTERSECTP-MEMBER . 1))
 (8082 8082 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (7800 7800 (:REWRITE SUBSETP-MEMBER . 2))
 (7800 7800 (:REWRITE SUBSETP-MEMBER . 1))
 (7402 6356 (:REWRITE MEMBER-WHEN-ATOM))
 (6356 6356 (:REWRITE SUBSETP-MEMBER . 4))
 (6356 6356 (:REWRITE INTERSECTP-MEMBER . 3))
 (6356 6356 (:REWRITE INTERSECTP-MEMBER . 2))
 (5473 5473 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (5473 5473 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (3964 1312 (:DEFINITION NATP))
 (3751 500 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (3400 1594 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (3232 2900 (:REWRITE DEFAULT-UNARY-MINUS))
 (3158 192 (:REWRITE SUBSETP-OF-CONS))
 (3083 3083 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (2820 2820 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1368 1368 (:TYPE-PRESCRIPTION NATP))
 (1346 458 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (1330 266 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (1283 1283 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1078 1078 (:TYPE-PRESCRIPTION NFIX))
 (624 40 (:REWRITE SUBSETP-APPEND1))
 (306 153 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (270 90 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (175 175 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (168 12 (:REWRITE MEMBER-OF-CONS))
 (162 54 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (153 153 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (153 153 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (66 66 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (46 46 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 )
(HIFAT-BOUNDED-FILE-ALIST-P-HELPER-OF-LOFAT-TO-HIFAT-HELPER-LEMMA-1
 (58 1 (:DEFINITION HIFAT-BOUNDED-FILE-ALIST-P-HELPER))
 (28 4 (:DEFINITION LEN))
 (15 1 (:REWRITE ZP-OPEN))
 (14 14 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (11 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10 6 (:REWRITE DEFAULT-+-2))
 (10 2 (:REWRITE HIFAT-BOUNDED-FILE-ALIST-P-OF-CDR-LEMMA-2))
 (8 2 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (7 7 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-+-1))
 (6 1 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 1 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1 1 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (1 1 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (1 1 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (1 1 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (1 1 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (1 1 (:REWRITE EXPT-COMPARE-EQUAL))
 (1 1 (:REWRITE EXPT-COMPARE))
 (1 1 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (1 1 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (1 1 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (1 1 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (1 1 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (1 1 (:META CANCEL_PLUS-LESSP-CORRECT))
 (1 1 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(HIFAT-BOUNDED-FILE-ALIST-P-HELPER-OF-LOFAT-TO-HIFAT-HELPER
 (13338 414 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (11164 428 (:DEFINITION FIND-D-E))
 (7426 428 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (6210 414 (:DEFINITION MEMBER-EQUAL))
 (5436 432 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (5280 1626 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (5000 3753 (:REWRITE DEFAULT-+-2))
 (4653 430 (:REWRITE ZP-OPEN))
 (4471 3753 (:REWRITE DEFAULT-+-1))
 (4140 828 (:REWRITE SUBSETP-CAR-MEMBER))
 (4130 226 (:REWRITE NFIX-WHEN-ZP))
 (4086 4086 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (3477 3349 (:REWRITE DEFAULT-CDR))
 (3300 1626 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (3300 432 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (3294 1098 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (2694 2689 (:REWRITE DEFAULT-CAR))
 (2412 603 (:DEFINITION BINARY-APPEND))
 (2399 1969 (:REWRITE DEFAULT-<-1))
 (2250 10 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (2192 1969 (:REWRITE DEFAULT-<-2))
 (2105 2043 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2043 2043 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2030 406 (:REWRITE SUBSETP-CONS-2))
 (1712 1712 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (1626 1626 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (1626 1626 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (1626 1626 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (1526 231 (:REWRITE ASSOCIATIVITY-OF-+))
 (1205 20 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1008 8 (:REWRITE M1-REGULAR-FILE-P-OF-M1-FILE))
 (864 864 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (828 828 (:REWRITE SUBSETP-MEMBER . 4))
 (828 828 (:REWRITE SUBSETP-MEMBER . 3))
 (828 828 (:REWRITE SUBSETP-MEMBER . 2))
 (828 828 (:REWRITE SUBSETP-MEMBER . 1))
 (828 828 (:REWRITE MEMBER-WHEN-ATOM))
 (828 828 (:REWRITE INTERSECTP-MEMBER . 3))
 (828 828 (:REWRITE INTERSECTP-MEMBER . 2))
 (816 816 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (816 816 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (816 816 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (810 6 (:DEFINITION UNSIGNED-BYTE-P))
 (804 6 (:DEFINITION INTEGER-RANGE-P))
 (750 750 (:TYPE-PRESCRIPTION D-E-P))
 (636 636 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (628 206 (:DEFINITION NATP))
 (618 206 (:DEFINITION NFIX))
 (566 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (501 9 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (484 438 (:REWRITE DEFAULT-UNARY-MINUS))
 (444 14 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (436 16 (:REWRITE LENGTH-WHEN-STRINGP))
 (428 428 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (414 414 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (356 6 (:LINEAR LEN-OF-EXPLODE-OF-M1-FILE-CONTENTS-FIX))
 (318 318 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (314 314 (:REWRITE D-E-FILENAME-OF-D-E-FIX))
 (238 52 (:REWRITE STR::CONSP-OF-EXPLODE))
 (226 226 (:TYPE-PRESCRIPTION NATP))
 (200 100 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (196 196 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (190 190 (:TYPE-PRESCRIPTION NFIX))
 (176 176 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (156 6 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (148 66 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (102 52 (:REWRITE HIFAT-BOUNDED-FILE-ALIST-P-OF-CDR-LEMMA-1))
 (101 45 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (100 20 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (78 78 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (75 7 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (74 26 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (70 14 (:REWRITE HIFAT-BOUNDED-FILE-ALIST-P-OF-CDR-LEMMA-2))
 (66 26 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (56 16 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (56 4 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (52 2 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (51 9 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (46 2 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (36 36 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-P))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (21 21 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (21 7 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (18 6 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
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 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 3 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (2 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (1 1 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (1 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(HIFAT-BOUNDED-FILE-ALIST-P-OF-LOFAT-TO-HIFAT
 (195 13 (:DEFINITION MEMBER-EQUAL))
 (184 14 (:REWRITE D-E-CC-CORRECTNESS-1))
 (130 26 (:REWRITE SUBSETP-CAR-MEMBER))
 (85 17 (:DEFINITION LEN))
 (79 9 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (77 77 (:REWRITE DEFAULT-CDR))
 (75 46 (:REWRITE DEFAULT-<-1))
 (72 28 (:LINEAR PSEUDO-ROOT-D-E-CORRECTNESS-1))
 (70 70 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (62 10 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (57 46 (:REWRITE DEFAULT-<-2))
 (56 14 (:REWRITE HIFAT-BOUNDED-FILE-ALIST-P-OF-CDR-LEMMA-2))
 (51 23 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (46 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (46 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (42 25 (:REWRITE DEFAULT-+-2))
 (37 7 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (36 14 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (33 33 (:REWRITE DEFAULT-CAR))
 (28 28 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (26 26 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (26 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (26 26 (:REWRITE SUBSETP-MEMBER . 4))
 (26 26 (:REWRITE SUBSETP-MEMBER . 3))
 (26 26 (:REWRITE SUBSETP-MEMBER . 2))
 (26 26 (:REWRITE SUBSETP-MEMBER . 1))
 (26 26 (:REWRITE MEMBER-WHEN-ATOM))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 3))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 2))
 (25 25 (:REWRITE DEFAULT-+-1))
 (21 7 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (17 17 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (15 5 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
 (11 11 (:TYPE-PRESCRIPTION M1-FILE-P))
 (10 10 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (10 10 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (10 10 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (10 10 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (10 2 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9 9 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (6 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 2 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (5 5 (:REWRITE USEFUL-D-E-LIST-P-OF-ROOT-D-E-LIST))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(STOBJ-SET-INDICES-IN-FA-TABLE
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 (205 160 (:REWRITE DEFAULT-+-1))
 (85 16 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (71 39 (:REWRITE DEFAULT-<-2))
 (62 62 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (43 39 (:REWRITE DEFAULT-<-1))
 (42 42 (:REWRITE DEFAULT-CDR))
 (33 33 (:REWRITE DEFAULT-CAR))
 (31 31 (:LINEAR POSITION-WHEN-MEMBER))
 (31 31 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (29 29 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (16 16 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (15 15 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (8 1 (:REWRITE NFIX-WHEN-ZP))
 (6 6 (:REWRITE MEMBER-OF-FAT32-ENTRY-LIST))
 (6 1 (:REWRITE ZP-OPEN))
 (4 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 1 (:REWRITE UPDATE-BPB_SECPERCLUS-CORRECTNESS-2 . 3))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 )
(COUNT-OF-CLUSTERS-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (108 36 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (84 84 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (71 7 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (55 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (46 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (35 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (30 19 (:REWRITE DEFAULT-<-2))
 (22 22 (:TYPE-PRESCRIPTION NAT-LISTP))
 (21 14 (:REWRITE DEFAULT-+-2))
 (21 14 (:REWRITE DEFAULT-+-1))
 (19 19 (:REWRITE DEFAULT-<-1))
 (18 6 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (17 17 (:REWRITE DEFAULT-CAR))
 (12 12 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(STOBJ-SET-INDICES-IN-FA-TABLE-CORRECTNESS-1
 (677 83 (:REWRITE NFIX-WHEN-ZP))
 (543 35 (:REWRITE ZP-OPEN))
 (366 230 (:REWRITE DEFAULT-+-2))
 (316 230 (:REWRITE DEFAULT-+-1))
 (311 21 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (266 23 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (254 4 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-4))
 (246 57 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (200 8 (:REWRITE LEN-UPDATE-NTH))
 (196 159 (:REWRITE DEFAULT-<-2))
 (174 23 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (159 159 (:REWRITE DEFAULT-<-1))
 (158 4 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (106 106 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (104 14 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (104 4 (:REWRITE NTH-UPDATE-NTH))
 (79 79 (:REWRITE DEFAULT-CAR))
 (69 23 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (69 23 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (57 57 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (57 57 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (57 57 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (56 56 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (56 56 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (46 46 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (39 39 (:REWRITE DEFAULT-CDR))
 (35 35 (:TYPE-PRESCRIPTION ZP))
 (28 4 (:REWRITE UPDATE-NTH-OF-UPDATE-NTH-1))
 (24 8 (:DEFINITION MAX))
 (23 23 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (23 23 (:LINEAR POSITION-WHEN-MEMBER))
 (23 23 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (19 1 (:REWRITE FATI-OF-UPDATE-FATI))
 (7 1 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-DISJOINT))
 (1 1 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (1 1 (:REWRITE COUNT-OF-CLUSTERS-OF-UPDATE-FATI))
 )
(FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (130 2 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (85 1 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (75 7 (:REWRITE NFIX-WHEN-ZP))
 (58 4 (:REWRITE ZP-OPEN))
 (46 28 (:REWRITE DEFAULT-+-2))
 (38 28 (:REWRITE DEFAULT-+-1))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (13 7 (:REWRITE DEFAULT-<-2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10 2 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (10 1 (:DEFINITION MEMBER-EQUAL))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7 7 (:REWRITE DEFAULT-<-1))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (5 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (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 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(LOFAT-FS-P-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (90 21 (:REWRITE DEFAULT-<-1))
 (75 9 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (66 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (66 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (66 3 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (62 36 (:REWRITE DEFAULT-+-2))
 (54 3 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (51 15 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (46 36 (:REWRITE DEFAULT-+-1))
 (45 3 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (38 38 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (36 21 (:REWRITE DEFAULT-<-2))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER))
 (19 19 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (18 18 (:REWRITE DEFAULT-CAR))
 (17 17 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (15 15 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (15 15 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (15 15 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 9 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (9 9 (:REWRITE DEFAULT-CDR))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(CLUSTER-SIZE-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (132 16 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (130 130 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (102 22 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (93 19 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (72 22 (:REWRITE LOFAT-FS-P-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (71 7 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (55 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (46 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (35 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (32 32 (:TYPE-PRESCRIPTION FAT32$C-P))
 (30 19 (:REWRITE DEFAULT-<-2))
 (21 14 (:REWRITE DEFAULT-+-2))
 (21 14 (:REWRITE DEFAULT-+-1))
 (19 19 (:REWRITE DEFAULT-<-1))
 (17 17 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 2 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(DATA-REGION-LENGTH-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (80 24 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (71 7 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (56 56 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (55 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (46 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (35 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (30 19 (:REWRITE DEFAULT-<-2))
 (21 14 (:REWRITE DEFAULT-+-2))
 (21 14 (:REWRITE DEFAULT-+-1))
 (19 19 (:REWRITE DEFAULT-<-1))
 (18 4 (:REWRITE LOFAT-FS-P-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (17 17 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 3 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 2 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(FAT-LENGTH-OF-STOBJ-SET-INDICES-IN-FA-TABLE
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 (71 7 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (66 66 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (55 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (46 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (35 24 (:REWRITE DEFAULT-<-2))
 (35 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (25 17 (:REWRITE DEFAULT-+-2))
 (25 17 (:REWRITE DEFAULT-+-1))
 (24 24 (:REWRITE DEFAULT-<-1))
 (24 5 (:REWRITE LOFAT-FS-P-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (20 20 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 3 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (9 3 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (8 1 (:REWRITE NFIX-WHEN-ZP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 1 (:REWRITE ZP-OPEN))
 (4 4 (:REWRITE DEFAULT-CDR))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 )
(BPB_ROOTCLUS-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (71 7 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (55 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (46 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (36 8 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (35 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (30 30 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (30 19 (:REWRITE DEFAULT-<-2))
 (24 2 (:LINEAR UPDATE-BPB_ROOTCLUS-CORRECTNESS-2))
 (21 14 (:REWRITE DEFAULT-+-2))
 (21 14 (:REWRITE DEFAULT-+-1))
 (19 19 (:REWRITE DEFAULT-<-1))
 (17 17 (:REWRITE DEFAULT-CAR))
 (12 2 (:REWRITE LOFAT-FS-P-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 3 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 2 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (4 4 (:TYPE-PRESCRIPTION FAT32$C-P))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(DATA-REGIONI-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (71 7 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (55 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (46 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (35 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (30 19 (:REWRITE DEFAULT-<-2))
 (21 14 (:REWRITE DEFAULT-+-2))
 (21 14 (:REWRITE DEFAULT-+-1))
 (19 19 (:REWRITE DEFAULT-<-1))
 (18 18 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (18 6 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (17 17 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 3 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(MAX-ENTRY-COUNT-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (126 2 (:REWRITE NFIX-WHEN-ZP))
 (112 2 (:REWRITE NFIX-WHEN-NATP))
 (106 2 (:REWRITE ZP-OPEN))
 (92 2 (:DEFINITION NATP))
 (60 4 (:LINEAR PAINFUL-DEBUGGING-LEMMA-15))
 (38 2 (:DEFINITION NOT))
 (36 12 (:REWRITE DEFAULT-<-2))
 (28 12 (:REWRITE DEFAULT-<-1))
 (8 4 (:REWRITE DEFAULT-*-2))
 (8 4 (:REWRITE DEFAULT-*-1))
 (6 2 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 )
(PSEUDO-ROOT-D-E-OF-STOBJ-SET-INDICES-IN-FA-TABLE)
(GET-CC-CONTENTS-OF-STOBJ-SET-INDICES-IN-FA-TABLE-DISJOINT
 (48138 2006 (:REWRITE LENGTH-WHEN-STRINGP))
 (43320 1140 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (41040 1140 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (34371 7006 (:REWRITE STR::CONSP-OF-EXPLODE))
 (29844 481 (:REWRITE THEN-SUBSEQ-SAME-2))
 (27265 481 (:DEFINITION TAKE))
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 (25542 481 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (24369 481 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (21137 4024 (:REWRITE DEFAULT-CDR))
 (19256 962 (:REWRITE TAKE-OF-LEN-FREE))
 (13298 13298 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (13238 8438 (:REWRITE DEFAULT-+-2))
 (11400 1140 (:DEFINITION UNSIGNED-BYTE-P))
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 (10105 8644 (:REWRITE DEFAULT-<-1))
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 (7936 240 (:DEFINITION BINARY-APPEND))
 (7870 7870 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5943 2793 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5253 1751 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (5253 1751 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (3502 3502 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3150 3150 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2369 168 (:DEFINITION MEMBER-EQUAL))
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 (1751 1751 (:LINEAR POSITION-WHEN-MEMBER))
 (1751 1751 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1299 433 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1279 286 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1140 1140 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (962 962 (:TYPE-PRESCRIPTION LENGTH))
 (492 492 (:REWRITE DEFAULT-UNARY-MINUS))
 (438 186 (:REWRITE STR-FIX-DEFAULT))
 (368 79 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (332 332 (:REWRITE SUBSETP-MEMBER . 2))
 (332 332 (:REWRITE SUBSETP-MEMBER . 1))
 (314 314 (:REWRITE FOLD-CONSTS-IN-+))
 (255 255 (:TYPE-PRESCRIPTION STRINGP-OF-GET-CC-CONTENTS))
 (230 46 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (138 138 (:REWRITE SUBSETP-MEMBER . 4))
 (138 138 (:REWRITE SUBSETP-MEMBER . 3))
 (138 138 (:REWRITE MEMBER-WHEN-ATOM))
 (138 138 (:REWRITE INTERSECTP-MEMBER . 2))
 (126 126 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (95 95 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (92 92 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (92 92 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (79 79 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (79 79 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (79 79 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (79 79 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (79 79 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (79 79 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (79 79 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (79 79 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (79 79 (:REWRITE INTERSECT-WITH-SUBSET . 3))
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 (62 62 (:REWRITE INTERSECT-WITH-SUBSET . 1))
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 (46 46 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (46 46 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (31 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 )
(GET-CONTENTS-FROM-CC-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (10476 284 (:REWRITE TAKE-OF-LEN-FREE))
 (10295 1169 (:DEFINITION LEN))
 (10033 218 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (9978 302 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (9374 302 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8829 218 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (4810 1982 (:REWRITE STR::CONSP-OF-EXPLODE))
 (4282 94 (:DEFINITION TAKE))
 (4134 1477 (:REWRITE DEFAULT-CDR))
 (3923 85 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (3032 302 (:DEFINITION UNSIGNED-BYTE-P))
 (2896 2896 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2771 1367 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2730 302 (:DEFINITION INTEGER-RANGE-P))
 (2563 372 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2555 97 (:DEFINITION BINARY-APPEND))
 (2286 1076 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (1990 67 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (1977 659 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1977 659 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1858 194 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1789 67 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1782 728 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1620 76 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1534 1094 (:REWRITE DEFAULT-<-2))
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 (1426 165 (:REWRITE ZP-OPEN))
 (1404 1404 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1318 1318 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1306 1306 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (870 125 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (836 676 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (783 304 (:REWRITE DEFAULT-CAR))
 (762 177 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (748 34 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (659 659 (:LINEAR POSITION-WHEN-MEMBER))
 (659 659 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (645 177 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (604 67 (:DEFINITION NATP))
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 (539 49 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (480 48 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (470 470 (:TYPE-PRESCRIPTION TAKE))
 (390 130 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (354 354 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (340 340 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (327 327 (:TYPE-PRESCRIPTION NFIX))
 (302 302 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (245 49 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (234 234 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (234 234 (:TYPE-PRESCRIPTION D-E-P))
 (234 234 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (234 117 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (204 34 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (186 93 (:REWRITE DEFAULT-UNARY-MINUS))
 (177 177 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (174 174 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (174 174 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (144 24 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (135 9 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (125 125 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (125 125 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (125 125 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (117 117 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (117 117 (:REWRITE SET::IN-SET))
 (100 20 (:TYPE-PRESCRIPTION TRUE-LISTP-SUBSEQ-TYPE-PRESCRIPTION))
 (95 95 (:TYPE-PRESCRIPTION LENGTH))
 (76 76 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (72 24 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (72 24 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (71 71 (:TYPE-PRESCRIPTION ZP))
 (68 68 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (67 67 (:TYPE-PRESCRIPTION NATP))
 (67 67 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (48 48 (:TYPE-PRESCRIPTION FAT32$C-P))
 (34 34 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (20 20 (:TYPE-PRESCRIPTION SUBSEQ))
 (20 20 (:TYPE-PRESCRIPTION STRINGP-SUBSEQ-TYPE-PRESCRIPTION))
 )
(D-E-CC-OF-STOBJ-SET-INDICES-IN-FA-TABLE-DISJOINT
 (72 3 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (60 3 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (53 2 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (24 3 (:REWRITE ZP-OPEN))
 (10 2 (:DEFINITION LEN))
 (9 9 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 4 (:REWRITE DEFAULT-<-2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (5 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE DEFAULT-+-2))
 (4 1 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (3 3 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (3 1 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (2 2 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:TYPE-PRESCRIPTION FAT32$C-P))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 8))
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 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(D-E-CC-CONTENTS-OF-STOBJ-SET-INDICES-IN-FA-TABLE-DISJOINT
 (77 4 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (61 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (53 2 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (24 3 (:REWRITE ZP-OPEN))
 (20 4 (:DEFINITION LEN))
 (10 2 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (9 9 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 4 (:REWRITE DEFAULT-<-2))
 (8 4 (:REWRITE DEFAULT-+-2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (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 DEFAULT-CDR))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 1 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (3 1 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
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 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:TYPE-PRESCRIPTION FAT32$C-P))
 (1 1 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 )
(LOFAT-TO-HIFAT-HELPER-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (79168 2947 (:DEFINITION FIND-D-E))
 (65134 5357 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (55251 32292 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (53157 2947 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (49369 1593 (:REWRITE NFIX-WHEN-ZP))
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 (39240 5232 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (38286 2410 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (35525 151 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (34996 5357 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (33280 24962 (:REWRITE DEFAULT-+-2))
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 (26940 588 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (24006 23239 (:REWRITE DEFAULT-CAR))
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 (18460 18460 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
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 (15540 3885 (:DEFINITION BINARY-APPEND))
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 (10714 10714 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
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 (1510 302 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (1311 1311 (:TYPE-PRESCRIPTION NATP))
 (1240 1240 (:TYPE-PRESCRIPTION NFIX))
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 (528 528 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (396 132 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (264 264 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (248 248 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
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 (132 132 (:LINEAR POSITION-WHEN-MEMBER))
 (132 132 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (124 124 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (124 124 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (124 124 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (96 96 (:REWRITE LOFAT-FS-P-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (64 64 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (42 21 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (40 40 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (21 21 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (21 21 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-1
 (86 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (57 7 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (55 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (45 32 (:REWRITE DEFAULT-<-2))
 (40 12 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (36 36 (:REWRITE DEFAULT-CAR))
 (32 32 (:REWRITE DEFAULT-<-1))
 (30 4 (:REWRITE FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (26 26 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (24 16 (:REWRITE DEFAULT-+-2))
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 (21 7 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (18 6 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (13 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (13 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
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 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
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 (12 2 (:REWRITE NFIX-WHEN-ZP))
 (10 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (7 7 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
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 )
(STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-2
 (158 16 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
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 (100 10 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (99 72 (:REWRITE DEFAULT-CAR))
 (98 98 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (94 94 (:REWRITE DEFAULT-<-1))
 (70 22 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (65 46 (:REWRITE DEFAULT-+-2))
 (65 46 (:REWRITE DEFAULT-+-1))
 (58 18 (:REWRITE ZP-OPEN))
 (49 22 (:REWRITE DEFAULT-CDR))
 (28 28 (:TYPE-PRESCRIPTION ZP))
 (27 9 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (22 22 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (22 22 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (22 22 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (21 7 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (13 13 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
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 )
(STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-4
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 (24 8 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (22 22 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
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 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7 7 (:REWRITE SUBSETP-MEMBER . 4))
 (7 7 (:REWRITE SUBSETP-MEMBER . 2))
 (7 7 (:REWRITE SUBSETP-MEMBER . 1))
 (7 7 (:REWRITE MEMBER-WHEN-ATOM))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 3))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (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 DEFAULT-CDR))
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 )
(STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-3
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 (329 63 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (258 258 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (237 29 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (179 29 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (159 53 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (159 53 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (147 147 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (142 142 (:TYPE-PRESCRIPTION ZP))
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 (123 123 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (106 106 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (96 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (69 23 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (60 4 (:REWRITE POSITION-OF-CDR))
 (53 53 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (51 51 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (47 47 (:TYPE-PRESCRIPTION NATP))
 (34 34 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (24 24 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (21 21 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (20 20 (:REWRITE SUBSETP-MEMBER . 4))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 3))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 2))
 (20 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (19 19 (:REWRITE SUBSETP-MEMBER . 2))
 (19 19 (:REWRITE SUBSETP-MEMBER . 1))
 (19 19 (:REWRITE MEMBER-WHEN-ATOM))
 (10 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE MEMBER-OF-FAT32-ENTRY-LIST))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(INDUCTION-SCHEME)
(STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE
 (697 400 (:REWRITE DEFAULT-+-2))
 (665 60 (:REWRITE NFIX-WHEN-ZP))
 (591 152 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (572 33 (:REWRITE ZP-OPEN))
 (529 59 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (502 400 (:REWRITE DEFAULT-+-1))
 (486 243 (:REWRITE DEFAULT-<-1))
 (484 243 (:REWRITE DEFAULT-<-2))
 (461 47 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (393 67 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (307 296 (:REWRITE DEFAULT-CDR))
 (297 29 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (260 46 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (239 29 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (212 201 (:REWRITE DEFAULT-CAR))
 (188 14 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-DISJOINT))
 (168 168 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (156 6 (:REWRITE FAT-LENGTH-OF-UPDATE-FATI))
 (154 4 (:REWRITE FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (152 152 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (90 30 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (72 72 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (70 70 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (61 14 (:REWRITE SUBSETP-CAR-MEMBER))
 (42 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (38 6 (:DEFINITION MAX))
 (36 36 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (36 36 (:LINEAR POSITION-WHEN-MEMBER))
 (36 36 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (35 7 (:DEFINITION NFIX))
 (33 33 (:TYPE-PRESCRIPTION ZP))
 (31 4 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (30 2 (:DEFINITION MEMBER-EQUAL))
 (28 28 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-4))
 (26 26 (:TYPE-PRESCRIPTION NFIX))
 (18 18 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (13 13 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (7 7 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (2 2 (:REWRITE MEMBER-OF-FAT32-ENTRY-LIST))
 )
(STOBJ-SET-CLUSTERS
 (168 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (136 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (102 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (78 43 (:REWRITE DEFAULT-+-2))
 (72 10 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (70 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (62 62 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (62 62 (:REWRITE DEFAULT-CAR))
 (58 1 (:DEFINITION STOBJ-SET-CLUSTERS))
 (48 48 (:REWRITE DEFAULT-CDR))
 (43 43 (:REWRITE DEFAULT-+-1))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (37 28 (:REWRITE DEFAULT-<-2))
 (33 3 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (30 30 (:TYPE-PRESCRIPTION STOBJ-SET-CLUSTERS))
 (28 28 (:REWRITE DEFAULT-<-1))
 (26 26 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (15 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (14 14 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (13 13 (:LINEAR POSITION-WHEN-MEMBER))
 (13 13 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 )
(CLUSTER-SIZE-OF-STOBJ-SET-CLUSTERS
 (102 17 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (90 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (80 80 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (69 23 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (66 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (51 17 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (34 34 (:TYPE-PRESCRIPTION FAT32$C-P))
 (30 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (27 27 (:REWRITE DEFAULT-CAR))
 (19 13 (:REWRITE DEFAULT-<-2))
 (18 12 (:REWRITE DEFAULT-+-2))
 (13 13 (:REWRITE DEFAULT-<-1))
 (12 12 (:TYPE-PRESCRIPTION NAT-LISTP))
 (12 12 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (12 12 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(COUNT-OF-CLUSTERS-OF-STOBJ-SET-CLUSTERS
 (108 36 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (90 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (84 84 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (66 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (30 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (27 27 (:REWRITE DEFAULT-CAR))
 (19 13 (:REWRITE DEFAULT-<-2))
 (18 12 (:REWRITE DEFAULT-+-2))
 (18 6 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (13 13 (:REWRITE DEFAULT-<-1))
 (12 12 (:TYPE-PRESCRIPTION NAT-LISTP))
 (12 12 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (12 12 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS
 (90 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (88 29 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (66 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (58 58 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (30 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (27 27 (:REWRITE DEFAULT-CAR))
 (23 16 (:REWRITE DEFAULT-<-2))
 (20 14 (:REWRITE DEFAULT-+-2))
 (16 16 (:REWRITE DEFAULT-<-1))
 (14 14 (:REWRITE DEFAULT-+-1))
 (12 12 (:TYPE-PRESCRIPTION NAT-LISTP))
 (12 12 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (8 1 (:REWRITE NFIX-WHEN-ZP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 1 (:REWRITE ZP-OPEN))
 (4 4 (:REWRITE DEFAULT-CDR))
 (3 1 (:REWRITE LOFAT-FS-P-OF-UPDATE-DATA-REGIONI))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 )
(LOFAT-FS-P-OF-STOBJ-SET-CLUSTERS
 (628 28 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (516 28 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (428 35 (:REWRITE CLUSTER-P-CORRECTNESS-1))
 (393 35 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (288 35 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (270 41 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (143 13 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (142 87 (:REWRITE DEFAULT-+-2))
 (134 134 (:REWRITE DEFAULT-CDR))
 (129 129 (:REWRITE DEFAULT-CAR))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (89 87 (:REWRITE DEFAULT-+-1))
 (78 13 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (70 70 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (65 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (54 54 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (54 54 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (50 46 (:REWRITE DEFAULT-<-2))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (46 46 (:REWRITE DEFAULT-<-1))
 (41 41 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (41 41 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (41 41 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (36 36 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (28 28 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3 3 (:TYPE-PRESCRIPTION STOBJ-SET-CLUSTERS))
 )
(FATI-OF-STOBJ-SET-CLUSTERS
 (90 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (66 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (30 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (27 27 (:REWRITE DEFAULT-CAR))
 (19 13 (:REWRITE DEFAULT-<-2))
 (18 12 (:REWRITE DEFAULT-+-2))
 (18 6 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (13 13 (:REWRITE DEFAULT-<-1))
 (12 12 (:TYPE-PRESCRIPTION NAT-LISTP))
 (12 12 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (12 12 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (12 12 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(FAT-LENGTH-OF-STOBJ-SET-CLUSTERS
 (119 29 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (90 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (78 78 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (66 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (31 11 (:REWRITE LOFAT-FS-P-OF-STOBJ-SET-CLUSTERS))
 (30 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (27 27 (:REWRITE DEFAULT-CAR))
 (19 13 (:REWRITE DEFAULT-<-2))
 (18 12 (:REWRITE DEFAULT-+-2))
 (13 13 (:REWRITE DEFAULT-<-1))
 (12 12 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 1 (:REWRITE LOFAT-FS-P-OF-UPDATE-DATA-REGIONI))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(BPB_ROOTCLUS-OF-STOBJ-SET-CLUSTERS
 (90 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (66 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (42 10 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (36 4 (:LINEAR UPDATE-BPB_ROOTCLUS-CORRECTNESS-2))
 (30 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (28 28 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (27 27 (:REWRITE DEFAULT-CAR))
 (19 13 (:REWRITE DEFAULT-<-2))
 (18 12 (:REWRITE DEFAULT-+-2))
 (13 13 (:REWRITE DEFAULT-<-1))
 (12 12 (:REWRITE DEFAULT-+-1))
 (12 4 (:REWRITE LOFAT-FS-P-OF-STOBJ-SET-CLUSTERS))
 (8 8 (:TYPE-PRESCRIPTION FAT32$C-P))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(DATA-REGIONI-OF-STOBJ-SET-CLUSTERS
 (135 9 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (99 9 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (45 9 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (42 33 (:REWRITE DEFAULT-<-2))
 (39 30 (:REWRITE DEFAULT-+-2))
 (33 33 (:REWRITE DEFAULT-<-1))
 (30 30 (:REWRITE DEFAULT-+-1))
 (27 9 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (15 15 (:REWRITE SUBSETP-MEMBER . 4))
 (15 15 (:REWRITE SUBSETP-MEMBER . 3))
 (15 15 (:REWRITE SUBSETP-MEMBER . 2))
 (15 15 (:REWRITE INTERSECTP-MEMBER . 3))
 (15 15 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 2 (:REWRITE NFIX-WHEN-ZP))
 (11 11 (:REWRITE MEMBER-WHEN-ATOM))
 (9 9 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (9 9 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (9 9 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (9 9 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (9 9 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (9 9 (:REWRITE DEFAULT-CDR))
 (9 9 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7 2 (:REWRITE ZP-OPEN))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 )
(EFFECTIVE-FAT-OF-STOBJ-SET-CLUSTERS
 (90 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (66 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (30 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (27 27 (:REWRITE DEFAULT-CAR))
 (19 13 (:REWRITE DEFAULT-<-2))
 (18 12 (:REWRITE DEFAULT-+-2))
 (18 6 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (13 13 (:REWRITE DEFAULT-<-1))
 (12 12 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (12 12 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(INDUCTION-SCHEME
 (17631 5948 (:REWRITE DEFAULT-+-2))
 (9192 5948 (:REWRITE DEFAULT-+-1))
 (5167 885 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4691 216 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (4472 4472 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4264 3387 (:REWRITE DEFAULT-<-2))
 (4199 204 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (3719 750 (:REWRITE DEFAULT-CAR))
 (3666 3387 (:REWRITE DEFAULT-<-1))
 (3131 505 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2800 700 (:DEFINITION INTEGER-ABS))
 (2532 221 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2436 812 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2436 812 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2362 57 (:REWRITE STRINGP-OF-NTH))
 (2248 110 (:DEFINITION STRING-LISTP))
 (1896 263 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1836 612 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1742 1742 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1672 505 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1624 1624 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1432 61 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (1210 110 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1149 766 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1095 1071 (:REWRITE FOLD-CONSTS-IN-+))
 (1086 58 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1074 101 (:DEFINITION ALISTP))
 (855 57 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (844 844 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (812 812 (:LINEAR POSITION-WHEN-MEMBER))
 (812 812 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (799 57 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (788 788 (:REWRITE DEFAULT-UNARY-MINUS))
 (786 786 (:TYPE-PRESCRIPTION D-E-P))
 (786 786 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (716 181 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (644 114 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (568 568 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (568 284 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (550 110 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (505 505 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (422 422 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (381 61 (:DEFINITION NFIX))
 (378 378 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (375 375 (:TYPE-PRESCRIPTION STRING-LISTP))
 (354 354 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (350 350 (:REWRITE DEFAULT-REALPART))
 (350 350 (:REWRITE DEFAULT-NUMERATOR))
 (350 350 (:REWRITE DEFAULT-IMAGPART))
 (350 350 (:REWRITE DEFAULT-DENOMINATOR))
 (344 344 (:LINEAR ACL2-COUNT-WHEN-MEMBER))
 (318 53 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (301 301 (:TYPE-PRESCRIPTION ALISTP))
 (300 20 (:REWRITE ACL2-COUNT-WHEN-MEMBER))
 (285 57 (:REWRITE NTH-WHEN-D-E-P . 3))
 (285 57 (:REWRITE NTH-WHEN-D-E-P . 2))
 (284 284 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (284 284 (:REWRITE SET::IN-SET))
 (200 20 (:DEFINITION MEMBER-EQUAL))
 (181 181 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (167 10 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (158 5 (:DEFINITION TRUE-LIST-LISTP))
 (112 16 (:REWRITE DISTRIBUTIVITY-OF-MINUS-OVER-+))
 (112 3 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (110 110 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (110 110 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (110 110 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (110 110 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (110 110 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (110 110 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (100 100 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (79 2 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (75 3 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (69 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (63 1 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (56 2 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (51 5 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (40 40 (:REWRITE SUBSETP-MEMBER . 2))
 (40 40 (:REWRITE SUBSETP-MEMBER . 1))
 (21 5 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (15 3 (:DEFINITION UNSIGNED-BYTE-P))
 (14 14 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (12 6 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (12 3 (:DEFINITION INTEGER-RANGE-P))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (9 9 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (7 7 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 2 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (5 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4 2 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (3 3 (:TYPE-PRESCRIPTION STRINGP-SUBSEQ-TYPE-PRESCRIPTION))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 )
(GET-CONTENTS-FROM-CC-OF-STOBJ-SET-CLUSTERS-COINCIDENT-LEMMA-1
 (26 26 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (26 13 (:REWRITE DEFAULT-+-2))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (13 13 (:REWRITE DEFAULT-+-1))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER))
 (6 6 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4 4 (:REWRITE DEFAULT-CDR))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 )
(GET-CONTENTS-FROM-CC-OF-STOBJ-SET-CLUSTERS-COINCIDENT
 (55767 414 (:DEFINITION TAKE))
 (39413 7814 (:REWRITE DEFAULT-CDR))
 (36539 1389 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (33761 1389 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (19460 24 (:REWRITE TAKE-OF-TAKE-SPLIT))
 (18973 642 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (16633 10418 (:REWRITE DEFAULT-+-2))
 (16427 245 (:REWRITE CAR-OF-NTHCDR))
 (15794 15794 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (15450 301 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (10849 10418 (:REWRITE DEFAULT-+-1))
 (10741 9068 (:REWRITE DEFAULT-<-1))
 (10364 9068 (:REWRITE DEFAULT-<-2))
 (9963 307 (:REWRITE CONSP-OF-NTHCDR))
 (9625 412 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (9555 3185 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9555 3185 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8770 4312 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8288 440 (:REWRITE LEN-OF-TAKE))
 (7355 1389 (:DEFINITION UNSIGNED-BYTE-P))
 (6370 6370 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6282 52 (:REWRITE NTHCDR-OF-NTHCDR))
 (5966 1389 (:DEFINITION INTEGER-RANGE-P))
 (5089 199 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (4581 1527 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (4458 4458 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4020 20 (:REWRITE NTH-OF-TAKE))
 (3596 1434 (:REWRITE DEFAULT-CAR))
 (3486 186 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (3185 3185 (:LINEAR POSITION-WHEN-MEMBER))
 (3185 3185 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3165 2809 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2743 126 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2265 514 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1927 121 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (1921 79 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (1784 256 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (1685 121 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1539 1522 (:REWRITE DEFAULT-UNARY-MINUS))
 (1389 1389 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1320 20 (:REWRITE NTH-OF-NTHCDR))
 (1172 344 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (1132 180 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (1024 118 (:REWRITE CHARACTER-LISTP-OF-NTHCDR))
 (1018 21 (:DEFINITION LENGTH))
 (992 52 (:DEFINITION CHARACTER-LISTP))
 (952 952 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (660 39 (:DEFINITION MEMBER-EQUAL))
 (615 123 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (608 92 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (580 90 (:REWRITE SUBSETP-CAR-MEMBER))
 (576 72 (:REWRITE LEN-OF-MAKE-CHARACTER-LIST))
 (514 37 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (512 8 (:REWRITE NTH-OF-MAKE-CHARACTER-LIST))
 (504 24 (:REWRITE TAKE-FEWER-OF-TAKE-MORE))
 (488 230 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (472 468 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (407 407 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (407 407 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (310 310 (:TYPE-PRESCRIPTION STOBJ-SET-CLUSTERS))
 (292 4 (:REWRITE STR::EQUAL-OF-IMPLODES))
 (258 258 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (220 220 (:TYPE-PRESCRIPTION REPEAT))
 (220 24 (:REWRITE REPEAT-WHEN-ZP))
 (216 4 (:REWRITE CHARACTER-LISTP-APPEND))
 (208 8 (:REWRITE CHARACTERP-NTH))
 (200 8 (:REWRITE CONSP-OF-APPEND))
 (167 110 (:REWRITE DEFAULT-*-2))
 (160 32 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (156 26 (:REWRITE ASSOCIATIVITY-OF-+))
 (134 21 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (122 122 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (115 110 (:REWRITE DEFAULT-*-1))
 (112 112 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (111 37 (:REWRITE DATA-REGIONI-OF-STOBJ-SET-CLUSTERS))
 (105 21 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (104 52 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-CDR-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (96 8 (:REWRITE TAKE-OF-MAKE-CHARACTER-LIST))
 (90 90 (:REWRITE SUBSETP-MEMBER . 4))
 (90 90 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 2))
 (88 88 (:REWRITE SUBSETP-MEMBER . 2))
 (88 88 (:REWRITE SUBSETP-MEMBER . 1))
 (73 73 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-4))
 (52 4 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-APPEND))
 (50 50 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (48 48 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (42 42 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (42 42 (:TYPE-PRESCRIPTION D-E-P))
 (42 42 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (42 21 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (26 26 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (26 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (26 2 (:REWRITE CAR-OF-APPEND))
 (21 21 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (21 21 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (21 21 (:REWRITE SET::IN-SET))
 (8 8 (:REWRITE MAKE-CHARACTER-LIST-MAKES-CHARACTER-LIST))
 )
(PLACE-CONTENTS
 (170 81 (:REWRITE DEFAULT-+-2))
 (162 13 (:REWRITE NFIX-WHEN-ZP))
 (131 4 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (128 82 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (110 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (98 81 (:REWRITE DEFAULT-+-1))
 (68 38 (:REWRITE DEFAULT-CDR))
 (63 1 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (60 48 (:REWRITE DEFAULT-<-2))
 (60 48 (:REWRITE DEFAULT-<-1))
 (52 52 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (42 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (42 1 (:DEFINITION BINARY-APPEND))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (39 1 (:DEFINITION STOBJ-SET-CLUSTERS))
 (38 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (26 26 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (23 11 (:REWRITE DEFAULT-CAR))
 (21 7 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (19 1 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (15 15 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (15 10 (:REWRITE STR::CONSP-OF-EXPLODE))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (13 13 (:LINEAR POSITION-WHEN-MEMBER))
 (13 13 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (7 1 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:TYPE-PRESCRIPTION ATOM))
 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (5 5 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (3 1 (:REWRITE UNICITY-OF-0))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 1 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (2 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 )
(LOFAT-FS-P-OF-PLACE-CONTENTS
 (163 8 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (144 74 (:REWRITE DEFAULT-+-2))
 (128 14 (:REWRITE ZP-OPEN))
 (121 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (84 74 (:REWRITE DEFAULT-+-1))
 (84 2 (:DEFINITION BINARY-APPEND))
 (76 2 (:DEFINITION STOBJ-SET-CLUSTERS))
 (72 36 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (67 47 (:REWRITE DEFAULT-<-2))
 (64 10 (:REWRITE NFIX-WHEN-ZP))
 (58 47 (:REWRITE DEFAULT-<-1))
 (40 27 (:REWRITE DEFAULT-CDR))
 (40 4 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (36 36 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (32 15 (:REWRITE DEFAULT-CAR))
 (21 1 (:DEFINITION NATP))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER))
 (5 5 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 2 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(CLUSTER-SIZE-OF-PLACE-CONTENTS
 (46 1 (:DEFINITION STOBJ-SET-CLUSTERS))
 (24 24 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (24 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (24 3 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (20 11 (:REWRITE DEFAULT-+-2))
 (18 4 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (15 3 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (12 9 (:REWRITE DEFAULT-CDR))
 (12 7 (:REWRITE DEFAULT-CAR))
 (12 4 (:REWRITE LOFAT-FS-P-OF-PLACE-CONTENTS))
 (11 11 (:REWRITE DEFAULT-+-1))
 (8 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (8 8 (:TYPE-PRESCRIPTION ATOM))
 (6 6 (:TYPE-PRESCRIPTION FAT32$C-P))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 2 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (4 1 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (3 2 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 )
(COUNT-OF-CLUSTERS-OF-PLACE-CONTENTS
 (46 1 (:DEFINITION STOBJ-SET-CLUSTERS))
 (36 6 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (28 28 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (24 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (20 11 (:REWRITE DEFAULT-+-2))
 (18 6 (:REWRITE LOFAT-FS-P-OF-PLACE-CONTENTS))
 (12 9 (:REWRITE DEFAULT-CDR))
 (12 7 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE DEFAULT-+-1))
 (8 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (8 8 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (8 8 (:TYPE-PRESCRIPTION ATOM))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 2 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (4 1 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (3 2 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 )
(DATA-REGION-LENGTH-OF-PLACE-CONTENTS
 (46 1 (:DEFINITION STOBJ-SET-CLUSTERS))
 (24 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (20 11 (:REWRITE DEFAULT-+-2))
 (12 9 (:REWRITE DEFAULT-CDR))
 (12 7 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE DEFAULT-+-1))
 (9 3 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (8 8 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (8 8 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (8 8 (:TYPE-PRESCRIPTION ATOM))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 2 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (3 2 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 )
(BPB_ROOTCLUS-OF-PLACE-CONTENTS
 (46 1 (:DEFINITION STOBJ-SET-CLUSTERS))
 (24 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (20 11 (:REWRITE DEFAULT-+-2))
 (12 9 (:REWRITE DEFAULT-CDR))
 (12 7 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE DEFAULT-+-1))
 (8 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (8 8 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (8 8 (:TYPE-PRESCRIPTION ATOM))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (4 2 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (4 1 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (3 2 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 )
(D-E-P-OF-PLACE-CONTENTS
 (46 1 (:DEFINITION STOBJ-SET-CLUSTERS))
 (26 14 (:REWRITE DEFAULT-+-2))
 (24 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (24 4 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (15 12 (:REWRITE DEFAULT-CDR))
 (14 14 (:REWRITE DEFAULT-+-1))
 (12 7 (:REWRITE DEFAULT-CAR))
 (8 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (8 8 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (8 8 (:TYPE-PRESCRIPTION ATOM))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-TAKE-AND-NTHCDR))
 (4 4 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-NOT-CONSP))
 (4 2 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (4 1 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (3 2 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(PSEUDO-ROOT-D-E-OF-PLACE-CONTENTS)
(PLACE-CONTENTS-CORRECTNESS-1
 (46 1 (:DEFINITION STOBJ-SET-CLUSTERS))
 (42 14 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (36 19 (:REWRITE DEFAULT-+-2))
 (19 19 (:REWRITE DEFAULT-+-1))
 (18 14 (:REWRITE DEFAULT-CDR))
 (14 14 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (14 14 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (14 14 (:TYPE-PRESCRIPTION ATOM))
 (12 7 (:REWRITE DEFAULT-CAR))
 (10 2 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (8 4 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 1 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (3 2 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:REWRITE DEFAULT-<-1))
 )
(GET-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-LEMMA-2
 (1576 48 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1300 33 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (972 15 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (722 722 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (682 48 (:REWRITE LEN-WHEN-PREFIXP))
 (655 332 (:REWRITE DEFAULT-+-2))
 (492 40 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (489 478 (:REWRITE DEFAULT-CDR))
 (479 49 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (387 129 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (387 129 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (344 332 (:REWRITE DEFAULT-+-1))
 (309 103 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (258 258 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (245 38 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (226 62 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (204 40 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (186 62 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (150 150 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (145 123 (:REWRITE DEFAULT-CAR))
 (129 129 (:LINEAR POSITION-WHEN-MEMBER))
 (129 129 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (105 105 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (105 56 (:REWRITE DEFAULT-<-1))
 (103 56 (:REWRITE DEFAULT-<-2))
 (75 75 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (62 62 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (62 62 (:TYPE-PRESCRIPTION D-E-P))
 (62 62 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (62 62 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (62 31 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (58 58 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (57 57 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (50 50 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (42 39 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (32 1 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (31 31 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (31 31 (:REWRITE SET::IN-SET))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (16 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (9 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 )
(GET-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-LEMMA-3
 (2796 156 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (2271 2271 (:TYPE-PRESCRIPTION LAST))
 (1872 78 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1640 10 (:DEFINITION PREFIXP))
 (1208 1208 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1104 24 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (956 18 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (936 18 (:DEFINITION TRUE-LIST-FIX))
 (892 456 (:REWRITE DEFAULT-+-2))
 (730 44 (:DEFINITION MEMBER-EQUAL))
 (684 36 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (654 218 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (654 218 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (634 8 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (628 24 (:REWRITE LEN-WHEN-PREFIXP))
 (590 90 (:REWRITE SUBSETP-CAR-MEMBER))
 (540 36 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (462 456 (:REWRITE DEFAULT-+-1))
 (436 436 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (360 34 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (310 212 (:REWRITE DEFAULT-<-2))
 (286 26 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (273 51 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (252 72 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (242 28 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (218 218 (:LINEAR POSITION-WHEN-MEMBER))
 (218 218 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (216 72 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (216 36 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (206 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (174 34 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (150 30 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (149 71 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (144 144 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (142 114 (:REWRITE DEFAULT-*-2))
 (130 10 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (120 120 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (120 120 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (114 114 (:REWRITE DEFAULT-*-1))
 (112 112 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (110 10 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (91 91 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (90 90 (:REWRITE SUBSETP-MEMBER . 4))
 (90 90 (:REWRITE SUBSETP-MEMBER . 3))
 (90 90 (:REWRITE SUBSETP-MEMBER . 2))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 2))
 (88 88 (:REWRITE MEMBER-WHEN-ATOM))
 (78 78 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (78 78 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (78 78 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (78 78 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (78 78 (:REWRITE CONSP-OF-LAST))
 (72 72 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (72 72 (:TYPE-PRESCRIPTION D-E-P))
 (72 72 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (72 72 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (72 36 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (72 8 (:REWRITE FAT32-BUILD-INDEX-LIST-OF-SET-INDICES-DISJOINT))
 (70 22 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (64 4 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (56 56 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (55 5 (:LINEAR NON-NEGATIVITY-OF-CAR-OF-LAST-WHEN-NAT-LISTP))
 (54 54 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (52 52 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-4))
 (44 44 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (44 22 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (36 36 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (36 36 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (36 36 (:REWRITE SET::IN-SET))
 (34 34 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (34 34 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (31 31 (:REWRITE ZP-OPEN))
 (31 31 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (31 31 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (31 31 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (24 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (10 10 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (5 5 (:LINEAR CAR-OF-LAST-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 )
(GET-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT
 (31637 903 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (15802 254 (:DEFINITION BINARY-APPEND))
 (14534 508 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (13170 6986 (:REWRITE DEFAULT-+-2))
 (12111 7 (:DEFINITION GET-CONTENTS-FROM-CC))
 (11554 1343 (:REWRITE NFIX-WHEN-ZP))
 (11270 76 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (9966 66 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (9894 5092 (:REWRITE DEFAULT-<-2))
 (8694 6986 (:REWRITE DEFAULT-+-1))
 (8380 218 (:DEFINITION STOBJ-SET-CLUSTERS))
 (7653 7 (:DEFINITION SUBSEQ))
 (7611 14 (:DEFINITION SUBSEQ-LIST))
 (7025 35 (:REWRITE GET-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-LEMMA-3))
 (6979 82 (:REWRITE DATA-REGIONI-WHEN-LOFAT-FS-P . 2))
 (6811 148 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (5975 5092 (:REWRITE DEFAULT-<-1))
 (5895 3084 (:REWRITE DEFAULT-CDR))
 (5162 53 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (5056 53 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4992 15 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (4722 15 (:REWRITE SUBSETP-OF-CONS))
 (4649 2044 (:REWRITE DEFAULT-CAR))
 (4130 566 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (4052 35 (:REWRITE FAT32-BUILD-INDEX-LIST-OF-SET-INDICES-DISJOINT))
 (2890 28 (:REWRITE TAKE-OF-LEN-FREE))
 (2777 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2388 2388 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2221 67 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1941 21 (:DEFINITION MEMBER-EQUAL))
 (1749 583 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1749 583 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1630 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1357 7 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (1252 7 (:DEFINITION LENGTH))
 (1166 1166 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1112 7 (:REWRITE THEN-SUBSEQ-SAME-2))
 (1096 132 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (1080 650 (:REWRITE STR::CONSP-OF-EXPLODE))
 (892 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (844 324 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (728 14 (:DEFINITION TAKE))
 (726 12 (:REWRITE MEMBER-WHEN-ATOM))
 (700 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (618 42 (:REWRITE SUBSETP-MEMBER . 1))
 (583 583 (:LINEAR POSITION-WHEN-MEMBER))
 (583 583 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (570 38 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (567 21 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (532 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (520 520 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (520 260 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (473 269 (:REWRITE DEFAULT-*-1))
 (421 269 (:REWRITE DEFAULT-*-2))
 (414 27 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (410 53 (:DEFINITION UNSIGNED-BYTE-P))
 (371 7 (:DEFINITION STRING-APPEND))
 (357 53 (:DEFINITION INTEGER-RANGE-P))
 (347 277 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (342 38 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (285 57 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (190 38 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (188 188 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (147 21 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (132 132 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (128 128 (:TYPE-PRESCRIPTION D-E-P))
 (128 128 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (119 7 (:REWRITE DATA-REGIONI-OF-STOBJ-SET-CLUSTERS))
 (96 96 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (80 80 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (75 75 (:REWRITE INTERSECTP-MEMBER . 1))
 (70 70 (:TYPE-PRESCRIPTION TAKE))
 (60 15 (:REWRITE FAT32-BUILD-INDEX-LIST-CORRECTNESS-2))
 (59 59 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (56 56 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (53 53 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (48 26 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (46 46 (:REWRITE DEFAULT-UNARY-MINUS))
 (45 3 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (42 42 (:REWRITE SUBSETP-MEMBER . 2))
 (42 7 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (40 40 (:TYPE-PRESCRIPTION PREFIXP))
 (40 40 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (39 3 (:DEFINITION ZEROP))
 (38 38 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (38 38 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (35 7 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (21 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (20 20 (:REWRITE LAST-OF-APPEND))
 (18 18 (:TYPE-PRESCRIPTION MOD))
 (16 16 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-4))
 (14 14 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (14 14 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (14 14 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 (14 14 (:DEFINITION NTHCDR))
 (14 7 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 3 (:REWRITE NAT-LISTP-OF-CONS))
 (7 7 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (7 7 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (7 7 (:REWRITE SET::IN-SET))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 6 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-1
 (740 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (656 4 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (402 2 (:DEFINITION BINARY-APPEND))
 (140 22 (:REWRITE DEFAULT-<-2))
 (128 2 (:DEFINITION MAKE-LIST-AC))
 (110 10 (:DEFINITION LEN))
 (72 8 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (52 22 (:REWRITE DEFAULT-+-2))
 (44 44 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (42 12 (:REWRITE DEFAULT-CDR))
 (40 22 (:REWRITE DEFAULT-+-1))
 (36 24 (:REWRITE STR::CONSP-OF-EXPLODE))
 (23 22 (:REWRITE DEFAULT-<-1))
 (21 9 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (18 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (8 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (8 4 (:REWRITE DEFAULT-*-2))
 (8 4 (:REWRITE DEFAULT-*-1))
 (8 2 (:REWRITE DEFAULT-CAR))
 (5 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (4 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-2
 (740 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (656 4 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (402 2 (:DEFINITION BINARY-APPEND))
 (140 22 (:REWRITE DEFAULT-<-2))
 (128 2 (:DEFINITION MAKE-LIST-AC))
 (99 9 (:DEFINITION LEN))
 (72 8 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (50 21 (:REWRITE DEFAULT-+-2))
 (41 41 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (39 21 (:REWRITE DEFAULT-+-1))
 (38 11 (:REWRITE DEFAULT-CDR))
 (33 22 (:REWRITE STR::CONSP-OF-EXPLODE))
 (25 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (24 22 (:REWRITE DEFAULT-<-1))
 (23 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (20 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (18 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 2 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (9 9 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (8 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (8 4 (:REWRITE DEFAULT-*-2))
 (8 4 (:REWRITE DEFAULT-*-1))
 (8 2 (:REWRITE DEFAULT-CAR))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (5 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (5 1 (:DEFINITION UNSIGNED-BYTE-P))
 (4 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 1 (:DEFINITION INTEGER-RANGE-P))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(FATI-OF-PLACE-CONTENTS-DISJOINT
 (163 8 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (128 62 (:REWRITE DEFAULT-+-2))
 (121 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (105 12 (:REWRITE ZP-OPEN))
 (84 2 (:DEFINITION BINARY-APPEND))
 (76 2 (:DEFINITION STOBJ-SET-CLUSTERS))
 (71 62 (:REWRITE DEFAULT-+-1))
 (61 41 (:REWRITE DEFAULT-<-2))
 (60 30 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (49 41 (:REWRITE DEFAULT-<-1))
 (40 4 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (37 7 (:REWRITE NFIX-WHEN-ZP))
 (31 21 (:REWRITE DEFAULT-CDR))
 (30 30 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (28 13 (:REWRITE DEFAULT-CAR))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION ZP))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER))
 (5 5 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 2 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 )
(USELESS-D-E-P-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE
 (512 16 (:LINEAR NTH-WHEN-D-E-P))
 (486 22 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (394 2 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (386 2 (:REWRITE DEFAULT-CODE-CHAR))
 (208 2 (:REWRITE ZP-OPEN))
 (184 8 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (168 24 (:DEFINITION LEN))
 (156 156 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (152 152 (:TYPE-PRESCRIPTION LEN))
 (148 4 (:REWRITE TAKE-OF-LEN-FREE))
 (120 120 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (98 2 (:DEFINITION TAKE))
 (88 8 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (64 34 (:REWRITE DEFAULT-<-2))
 (56 56 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (52 52 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (52 2 (:REWRITE NATS=>CHARS-OF-TAKE))
 (48 34 (:REWRITE DEFAULT-<-1))
 (48 24 (:REWRITE DEFAULT-+-2))
 (40 40 (:TYPE-PRESCRIPTION NFIX))
 (32 26 (:REWRITE DEFAULT-CDR))
 (32 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (32 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (28 28 (:TYPE-PRESCRIPTION D-E-P))
 (28 28 (:LINEAR POSITION-WHEN-MEMBER))
 (28 28 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (24 24 (:REWRITE DEFAULT-+-1))
 (24 24 (:REWRITE D-E-P-OF-D-E-FIX))
 (24 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (20 4 (:REWRITE NTH-WHEN-D-E-P . 3))
 (20 4 (:REWRITE NTH-WHEN-D-E-P . 2))
 (18 6 (:DEFINITION NOT))
 (16 16 (:TYPE-PRESCRIPTION NAT-LISTP))
 (16 16 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (10 2 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 2 (:REWRITE DEFAULT-CAR))
 (4 2 (:REWRITE LEN-OF-NATS=>CHARS))
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(USELESS-D-E-P-OF-PLACE-CONTENTS
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 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 )
(FAT-LENGTH-OF-PLACE-CONTENTS
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 (8 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (8 8 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (8 8 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (8 8 (:TYPE-PRESCRIPTION ATOM))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 2 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (4 1 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (3 2 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 )
(NATP-OF-PLACE-CONTENTS
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 (36 19 (:REWRITE DEFAULT-+-2))
 (19 19 (:REWRITE DEFAULT-+-1))
 (18 14 (:REWRITE DEFAULT-CDR))
 (14 14 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (14 14 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (14 14 (:TYPE-PRESCRIPTION ATOM))
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 (10 2 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (8 4 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
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 (4 1 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
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 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:REWRITE DEFAULT-<-1))
 )
(TRUE-LISTP-OF-PLACE-CONTENTS
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 (8 8 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
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 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
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 (5 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 2 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
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 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
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 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
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 (1 1 (:REWRITE SET::IN-SET))
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(FAT32-MASKED-ENTRY-LIST-P-OF-PLACE-CONTENTS
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 (62 44 (:REWRITE DEFAULT-CDR))
 (60 60 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (45 15 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (30 30 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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(MAX-ENTRY-COUNT-OF-PLACE-CONTENTS
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(GET-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT
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 )
(FAT32-BUILD-INDEX-LIST-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS-DISJOINT
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 (343 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
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 (192 192 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (144 48 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (100 4 (:REWRITE SUBSETP-OF-CONS))
 (96 96 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (54 2 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (51 51 (:TYPE-PRESCRIPTION ZP))
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 (48 48 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (41 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
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 (15 3 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
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 (8 8 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 4 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (7 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (7 1 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (6 6 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (5 1 (:REWRITE GET-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-LEMMA-3))
 (3 3 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (2 1 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FAT32-BUILD-INDEX-LIST))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(D-E-CC-OF-PLACE-CONTENTS-DISJOINT
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 (18 4 (:REWRITE GET-CC-CONTENTS-CORRECTNESS-2))
 (10 10 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
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 (5 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
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 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(D-E-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT
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 (5 2 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-2))
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 (2 2 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
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 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 1 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(LOFAT-TO-HIFAT-HELPER-OF-PLACE-CONTENTS
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 (10142 10142 (:REWRITE SUBSETP-MEMBER . 1))
 (9348 246 (:REWRITE LOFAT-FS-P-OF-PLACE-CONTENTS))
 (8020 8020 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (7892 7892 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (7847 7847 (:REWRITE INTERSECTP-MEMBER . 1))
 (7728 7728 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (6360 6360 (:REWRITE SUBSETP-MEMBER . 4))
 (6360 6360 (:REWRITE INTERSECTP-MEMBER . 3))
 (6360 6360 (:REWRITE INTERSECTP-MEMBER . 2))
 (5205 5205 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (5205 5205 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (3746 1240 (:DEFINITION NATP))
 (3230 2829 (:REWRITE DEFAULT-UNARY-MINUS))
 (2920 2920 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (2840 147 (:REWRITE SUBSETP-OF-CONS))
 (1750 350 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (1292 1292 (:TYPE-PRESCRIPTION NATP))
 (1240 1240 (:TYPE-PRESCRIPTION NFIX))
 (1213 1213 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (579 213 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-2))
 (428 28 (:REWRITE SUBSETP-APPEND1))
 (315 105 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (294 147 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (210 210 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (147 147 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (147 147 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (136 136 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (70 5 (:REWRITE MEMBER-OF-CONS))
 (48 48 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (28 28 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 )
(FAT32-BUILD-INDEX-LIST-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS-COINCIDENT
 (3138 94 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (1826 36 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1659 5 (:REWRITE GET-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-LEMMA-3))
 (1445 661 (:REWRITE DEFAULT-+-2))
 (924 5 (:REWRITE FAT32-BUILD-INDEX-LIST-OF-SET-INDICES-DISJOINT))
 (907 119 (:REWRITE NFIX-WHEN-ZP))
 (855 510 (:REWRITE DEFAULT-<-2))
 (798 661 (:REWRITE DEFAULT-+-1))
 (764 18 (:DEFINITION BINARY-APPEND))
 (643 510 (:REWRITE DEFAULT-<-1))
 (579 15 (:DEFINITION STOBJ-SET-CLUSTERS))
 (508 286 (:REWRITE DEFAULT-CDR))
 (452 5 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (422 5 (:REWRITE SUBSETP-CONS-2))
 (367 5 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (336 157 (:REWRITE DEFAULT-CAR))
 (332 10 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (332 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (328 328 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (246 82 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (246 82 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (242 4 (:REWRITE MEMBER-WHEN-ATOM))
 (206 2 (:DEFINITION MEMBER-EQUAL))
 (180 6 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (168 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (164 164 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (156 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (127 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (126 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (99 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (96 32 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (90 10 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (82 82 (:LINEAR POSITION-WHEN-MEMBER))
 (82 82 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (80 16 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (70 5 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (66 66 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (66 44 (:REWRITE STR::CONSP-OF-EXPLODE))
 (65 5 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (64 64 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (60 6 (:DEFINITION UNSIGNED-BYTE-P))
 (54 6 (:DEFINITION INTEGER-RANGE-P))
 (49 27 (:REWRITE DEFAULT-*-1))
 (48 27 (:REWRITE DEFAULT-*-2))
 (32 32 (:TYPE-PRESCRIPTION D-E-P))
 (32 32 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (30 15 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (22 22 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (15 1 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (14 14 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (10 10 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (10 5 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (9 1 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (7 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 6 (:TYPE-PRESCRIPTION PREFIXP))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (5 5 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-4))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 1))
 (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))
 (5 1 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 1 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (3 3 (:REWRITE LAST-OF-APPEND))
 (3 1 (:REWRITE NAT-LISTP-OF-CONS))
 (2 2 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (1 1 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (1 1 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (1 1 (:TYPE-PRESCRIPTION FAT32$C-P))
 (1 1 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1
 (66 6 (:DEFINITION LEN))
 (56 2 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (48 2 (:REWRITE ZP-OPEN))
 (26 14 (:REWRITE DEFAULT-+-2))
 (18 6 (:REWRITE DEFAULT-CDR))
 (16 14 (:REWRITE DEFAULT-+-1))
 (16 9 (:REWRITE DEFAULT-<-2))
 (16 4 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (13 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 12 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 8 (:REWRITE STR::CONSP-OF-EXPLODE))
 (11 9 (:REWRITE DEFAULT-<-1))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (5 1 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-DISJOINT))
 (4 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 )
(D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2
 (56 2 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (55 5 (:DEFINITION LEN))
 (48 2 (:REWRITE ZP-OPEN))
 (30 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (28 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 13 (:REWRITE DEFAULT-+-2))
 (16 9 (:REWRITE DEFAULT-<-2))
 (16 4 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (15 13 (:REWRITE DEFAULT-+-1))
 (14 5 (:REWRITE DEFAULT-CDR))
 (13 9 (:REWRITE DEFAULT-<-1))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10 2 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (10 1 (:DEFINITION UNSIGNED-BYTE-P))
 (9 9 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (9 6 (:REWRITE STR::CONSP-OF-EXPLODE))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (9 1 (:DEFINITION INTEGER-RANGE-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (5 1 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-DISJOINT))
 (4 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (3 3 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1 1 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 )
(HIFAT-TO-LOFAT-HELPER
 (1064 42 (:REWRITE LENGTH-WHEN-STRINGP))
 (1018 90 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1008 363 (:REWRITE DEFAULT-+-2))
 (648 20 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (647 363 (:REWRITE DEFAULT-+-1))
 (582 574 (:TYPE-PRESCRIPTION ACL2-COUNT-OF-CONSP-POSITIVE))
 (568 20 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (532 44 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (511 49 (:DEFINITION LEN))
 (420 84 (:REWRITE COMMUTATIVITY-OF-+))
 (336 84 (:DEFINITION INTEGER-ABS))
 (314 38 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (294 168 (:REWRITE DEFAULT-CDR))
 (268 36 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (232 18 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (216 16 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (180 180 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (166 166 (:REWRITE DEFAULT-CAR))
 (160 160 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (140 18 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (126 126 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (126 84 (:REWRITE STR::CONSP-OF-EXPLODE))
 (124 26 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (118 96 (:REWRITE DEFAULT-<-1))
 (106 96 (:REWRITE DEFAULT-<-2))
 (88 88 (:REWRITE FOLD-CONSTS-IN-+))
 (84 84 (:REWRITE DEFAULT-UNARY-MINUS))
 (84 42 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (80 80 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (72 72 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (60 5 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (56 56 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (56 56 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (46 2 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (42 42 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (42 42 (:REWRITE DEFAULT-REALPART))
 (42 42 (:REWRITE DEFAULT-NUMERATOR))
 (42 42 (:REWRITE DEFAULT-IMAGPART))
 (42 42 (:REWRITE DEFAULT-DENOMINATOR))
 (38 38 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (38 38 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (38 38 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (36 36 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (34 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (24 24 (:LINEAR ACL2-COUNT-WHEN-MEMBER))
 (20 20 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 16 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (13 13 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (12 12 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 12 (:LINEAR ACL2-COUNT-OF-CONSP-POSITIVE))
 (12 4 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (12 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 10 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 (10 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 2 (:REWRITE NTH-WHEN-D-E-P . 3))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 2 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(CLUSTER-SIZE-OF-HIFAT-TO-LOFAT-HELPER
 (629 221 (:REWRITE DEFAULT-CDR))
 (608 104 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (542 54 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (462 42 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (424 32 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (334 334 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (292 22 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (286 104 (:REWRITE DEFAULT-<-1))
 (282 47 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (276 46 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (276 46 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (252 42 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (225 75 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (210 14 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (206 194 (:REWRITE DEFAULT-CAR))
 (184 28 (:DEFINITION BINARY-APPEND))
 (178 89 (:REWRITE DEFAULT-+-2))
 (176 176 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (168 28 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (141 47 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (140 28 (:REWRITE NTH-WHEN-D-E-P . 3))
 (135 45 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (132 132 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (132 104 (:REWRITE DEFAULT-<-2))
 (104 56 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (94 94 (:TYPE-PRESCRIPTION FAT32$C-P))
 (92 92 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (89 89 (:REWRITE DEFAULT-+-1))
 (88 88 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (84 84 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (80 20 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (72 72 (:TYPE-PRESCRIPTION D-E-P))
 (72 72 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (60 60 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (46 46 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION M1-FILE-P))
 (42 42 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 8 (:LINEAR NTH-WHEN-D-E-P))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(COUNT-OF-CLUSTERS-OF-HIFAT-TO-LOFAT-HELPER
 (629 221 (:REWRITE DEFAULT-CDR))
 (608 104 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (542 54 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (462 42 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (424 32 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (356 356 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (315 105 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (292 22 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (286 104 (:REWRITE DEFAULT-<-1))
 (276 46 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (276 46 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (252 42 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (210 14 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (206 194 (:REWRITE DEFAULT-CAR))
 (184 28 (:DEFINITION BINARY-APPEND))
 (178 89 (:REWRITE DEFAULT-+-2))
 (176 176 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (168 28 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (140 28 (:REWRITE NTH-WHEN-D-E-P . 3))
 (135 45 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (132 132 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (132 104 (:REWRITE DEFAULT-<-2))
 (104 56 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (92 92 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (89 89 (:REWRITE DEFAULT-+-1))
 (88 88 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (84 84 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (84 28 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (80 20 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (72 72 (:TYPE-PRESCRIPTION D-E-P))
 (72 72 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (60 60 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (46 46 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION M1-FILE-P))
 (42 42 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 8 (:LINEAR NTH-WHEN-D-E-P))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(NATP-OF-HIFAT-TO-LOFAT-HELPER
 (592 202 (:REWRITE DEFAULT-CDR))
 (577 97 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (440 40 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (428 29 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (389 43 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (255 17 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (250 87 (:REWRITE DEFAULT-<-1))
 (246 21 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (240 40 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (234 39 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (234 39 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (192 30 (:DEFINITION BINARY-APPEND))
 (164 82 (:REWRITE DEFAULT-+-2))
 (162 150 (:REWRITE DEFAULT-CAR))
 (158 158 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (150 25 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (125 25 (:REWRITE NTH-WHEN-D-E-P . 3))
 (124 124 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (116 116 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (112 87 (:REWRITE DEFAULT-<-2))
 (111 37 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (108 60 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (84 84 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (82 82 (:REWRITE DEFAULT-+-1))
 (79 79 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (78 78 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (75 25 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (66 66 (:TYPE-PRESCRIPTION D-E-P))
 (66 66 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (56 56 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (40 40 (:TYPE-PRESCRIPTION M1-FILE-P))
 (40 40 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (40 8 (:LINEAR NTH-WHEN-D-E-P))
 (39 39 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (32 8 (:REWRITE ZP-OPEN))
 (28 28 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER))
 (14 14 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(DATA-REGION-LENGTH-OF-HIFAT-TO-LOFAT-HELPER
 (361 61 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (360 120 (:REWRITE DEFAULT-CDR))
 (307 31 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (275 25 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (268 19 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (205 69 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (184 184 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (163 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (162 63 (:REWRITE DEFAULT-<-1))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (150 25 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (135 9 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (106 100 (:REWRITE DEFAULT-CAR))
 (104 104 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (102 51 (:REWRITE DEFAULT-+-2))
 (96 15 (:DEFINITION BINARY-APPEND))
 (92 63 (:REWRITE DEFAULT-<-2))
 (90 15 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (78 78 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (75 15 (:REWRITE NTH-WHEN-D-E-P . 3))
 (72 24 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 30 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (52 52 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (51 51 (:REWRITE DEFAULT-+-1))
 (48 12 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (46 46 (:TYPE-PRESCRIPTION D-E-P))
 (46 46 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (42 42 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 8 (:LINEAR NTH-WHEN-D-E-P))
 (36 36 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-P))
 (25 25 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(BPB_ROOTCLUS-OF-HIFAT-TO-LOFAT-HELPER
 (361 61 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (360 120 (:REWRITE DEFAULT-CDR))
 (307 31 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (275 25 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (268 19 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (163 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (162 63 (:REWRITE DEFAULT-<-1))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (150 25 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (135 9 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (132 22 (:LINEAR UPDATE-BPB_ROOTCLUS-CORRECTNESS-2))
 (122 122 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (111 37 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (106 100 (:REWRITE DEFAULT-CAR))
 (104 104 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (102 51 (:REWRITE DEFAULT-+-2))
 (96 15 (:DEFINITION BINARY-APPEND))
 (92 63 (:REWRITE DEFAULT-<-2))
 (90 15 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (78 78 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (75 15 (:REWRITE NTH-WHEN-D-E-P . 3))
 (72 24 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 30 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (52 52 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (51 51 (:REWRITE DEFAULT-+-1))
 (48 12 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (46 46 (:TYPE-PRESCRIPTION D-E-P))
 (46 46 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (44 44 (:TYPE-PRESCRIPTION FAT32$C-P))
 (42 42 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 8 (:LINEAR NTH-WHEN-D-E-P))
 (36 36 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-P))
 (25 25 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER
 (14175 1949 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (13108 964 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10956 611 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (9923 2289 (:REWRITE DEFAULT-CDR))
 (9759 359 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (9588 730 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (8424 468 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (7440 500 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5420 275 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (4716 4716 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4698 783 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (4020 624 (:DEFINITION BINARY-APPEND))
 (3666 611 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3510 234 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3052 1048 (:REWRITE DEFAULT-<-1))
 (2358 2358 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2264 1248 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2041 1787 (:REWRITE DEFAULT-CAR))
 (1788 460 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (1778 1778 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (1718 1718 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1638 234 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (1564 1048 (:REWRITE DEFAULT-<-2))
 (1546 776 (:REWRITE DEFAULT-+-2))
 (1432 1432 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1432 964 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1328 1328 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (1222 1222 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1085 362 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1008 1008 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (948 243 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (835 248 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (776 776 (:REWRITE DEFAULT-+-1))
 (756 252 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (756 252 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (611 611 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (504 504 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (468 468 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (252 252 (:LINEAR POSITION-WHEN-MEMBER))
 (252 252 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (234 234 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (112 8 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (72 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (42 3 (:REWRITE NFIX-WHEN-ZP))
 (40 8 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (40 8 (:LINEAR NTH-WHEN-D-E-P))
 (36 9 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 16 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (14 14 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (3 1 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 )
(LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1
 (11 6 (:REWRITE DEFAULT-+-2))
 (7 6 (:REWRITE DEFAULT-+-1))
 (4 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE NFIX-WHEN-ZP))
 )
(LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER
 (10467 1207 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9703 693 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8172 502 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (7701 1785 (:REWRITE DEFAULT-CDR))
 (7416 288 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (7038 549 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (5881 417 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5184 288 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (4896 316 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (4104 684 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3758 3758 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3144 489 (:DEFINITION BINARY-APPEND))
 (3012 502 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2855 203 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2472 1014 (:REWRITE DEFAULT-<-1))
 (2160 144 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1879 1879 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1833 999 (:REWRITE DEFAULT-+-2))
 (1770 978 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1479 1014 (:REWRITE DEFAULT-<-2))
 (1448 370 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (1408 1408 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1386 1386 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (1382 1184 (:REWRITE DEFAULT-CAR))
 (1244 208 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1211 41 (:REWRITE NFIX-WHEN-ZP))
 (1164 999 (:REWRITE DEFAULT-+-1))
 (1078 1078 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (1036 208 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1008 144 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (1004 1004 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (981 981 (:TYPE-PRESCRIPTION M1-FILE-P))
 (981 693 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (792 792 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (594 198 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (594 198 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (532 532 (:TYPE-PRESCRIPTION D-E-P))
 (532 532 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (502 502 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (396 396 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (288 288 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (280 56 (:LINEAR NTH-WHEN-D-E-P))
 (198 198 (:LINEAR POSITION-WHEN-MEMBER))
 (198 198 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (153 153 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (144 144 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (32 32 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (21 21 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (15 3 (:REWRITE NTH-WHEN-D-E-P . 2))
 )
(D-E-LIST-P-OF-HIFAT-TO-LOFAT-HELPER
 (424 46 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (391 151 (:REWRITE DEFAULT-CDR))
 (372 63 (:REWRITE DEFAULT-<-1))
 (361 61 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (310 31 (:DEFINITION MEMBER-EQUAL))
 (307 31 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (300 15 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (285 15 (:REWRITE NTH-WHEN-D-E-P . 3))
 (275 25 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (268 19 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (208 8 (:LINEAR NTH-WHEN-D-E-P))
 (163 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (158 158 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (150 25 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (144 24 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (137 131 (:REWRITE DEFAULT-CAR))
 (135 9 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (126 126 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (104 104 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (102 51 (:REWRITE DEFAULT-+-2))
 (96 15 (:DEFINITION BINARY-APPEND))
 (92 63 (:REWRITE DEFAULT-<-2))
 (87 29 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (78 78 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (72 24 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (69 4 (:REWRITE SUBSETP-OF-CONS))
 (62 62 (:REWRITE SUBSETP-MEMBER . 2))
 (62 62 (:REWRITE SUBSETP-MEMBER . 1))
 (58 58 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 30 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (52 52 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (51 51 (:REWRITE DEFAULT-+-1))
 (50 50 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (48 12 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (45 15 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (36 36 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-P))
 (25 25 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (18 18 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7 7 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (7 7 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 )
(USEFUL-D-E-LIST-P-OF-HIFAT-TO-LOFAT-HELPER
 (15355 777 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (11884 1372 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (10279 659 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9992 3064 (:REWRITE DEFAULT-CDR))
 (8850 700 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (8550 384 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (7206 605 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (6426 1071 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5363 31 (:REWRITE DEFAULT-CODE-CHAR))
 (4860 4860 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4200 700 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4104 1877 (:REWRITE DEFAULT-<-1))
 (4096 640 (:DEFINITION BINARY-APPEND))
 (3876 3876 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3863 295 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3109 1877 (:REWRITE DEFAULT-<-2))
 (2870 1435 (:REWRITE DEFAULT-+-2))
 (2760 920 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2760 920 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2430 2430 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2304 1280 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2194 363 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2049 1793 (:REWRITE DEFAULT-CAR))
 (2009 49 (:DEFINITION TAKE))
 (1992 325 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (1950 1950 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1944 108 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1841 353 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1840 1840 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1796 1796 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1792 1792 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (1724 458 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (1435 1435 (:REWRITE DEFAULT-+-1))
 (1400 1400 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1266 1266 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (1176 49 (:REWRITE NATS=>CHARS-OF-TAKE))
 (1065 343 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (939 289 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (920 920 (:LINEAR POSITION-WHEN-MEMBER))
 (920 920 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (828 12 (:REWRITE FAT-LENGTH-OF-UPDATE-FATI))
 (819 659 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (810 54 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (793 793 (:TYPE-PRESCRIPTION M1-FILE-P))
 (740 148 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (700 700 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (420 24 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (408 12 (:REWRITE NFIX-WHEN-ZP))
 (378 54 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (294 98 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (240 12 (:REWRITE NFIX-WHEN-NATP))
 (216 12 (:DEFINITION NATP))
 (148 148 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (148 148 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (148 148 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (148 148 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (148 148 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (144 24 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (120 24 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (108 108 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (98 49 (:REWRITE LEN-OF-NATS=>CHARS))
 (84 12 (:DEFINITION MAX))
 (54 54 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (52 52 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (42 14 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (9 9 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 )
(UNSIGNED-BYTE-LISTP-OF-FLATTEN-WHEN-D-E-LIST-P
 (169 7 (:DEFINITION MEMBER-EQUAL))
 (79 1 (:REWRITE WHEN-APPEND-SAME))
 (70 2 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (41 1 (:DEFINITION LAST))
 (21 20 (:REWRITE DEFAULT-CDR))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (18 5 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (16 4 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-NOT-CONSP))
 (15 15 (:REWRITE DEFAULT-CAR))
 (14 14 (:TYPE-PRESCRIPTION LEN))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 1))
 (12 12 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12 3 (:DEFINITION BINARY-APPEND))
 (10 2 (:DEFINITION LEN))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5 5 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-TAKE-AND-NTHCDR))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 3 (:TYPE-PRESCRIPTION LAST))
 (3 1 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (2 2 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 1 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (1 1 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(LEN-OF-FLATTEN-WHEN-D-E-LIST-P
 (210 13 (:DEFINITION MEMBER-EQUAL))
 (76 1 (:REWRITE WHEN-APPEND-SAME))
 (67 2 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (61 1 (:DEFINITION LAST))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (49 49 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (38 38 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (32 31 (:REWRITE DEFAULT-CDR))
 (31 31 (:REWRITE SUBSETP-MEMBER . 2))
 (31 31 (:REWRITE SUBSETP-MEMBER . 1))
 (24 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (24 3 (:DEFINITION BINARY-APPEND))
 (21 21 (:REWRITE DEFAULT-CAR))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER))
 (19 19 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (18 10 (:REWRITE DEFAULT-+-2))
 (18 5 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (12 12 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (10 10 (:REWRITE DEFAULT-+-1))
 (10 5 (:REWRITE DEFAULT-*-2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (6 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (5 5 (:REWRITE MEMBER-SELF))
 (5 5 (:REWRITE DEFAULT-*-1))
 (3 3 (:TYPE-PRESCRIPTION LAST))
 (3 1 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (2 2 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 1 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (1 1 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4
 (2480 170 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (2125 1113 (:REWRITE DEFAULT-CDR))
 (1425 561 (:REWRITE DEFAULT-<-1))
 (1179 383 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1152 252 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1134 189 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (1128 174 (:DEFINITION BINARY-APPEND))
 (1014 1014 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (978 489 (:REWRITE DEFAULT-+-2))
 (899 827 (:REWRITE DEFAULT-CAR))
 (823 561 (:REWRITE DEFAULT-<-2))
 (774 129 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (766 766 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (645 129 (:REWRITE NTH-WHEN-D-E-P . 3))
 (636 348 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (567 189 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (542 94 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (504 504 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (489 489 (:REWRITE DEFAULT-+-1))
 (422 422 (:TYPE-PRESCRIPTION D-E-P))
 (422 422 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (410 82 (:LINEAR NTH-WHEN-D-E-P))
 (387 129 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (383 383 (:LINEAR POSITION-WHEN-MEMBER))
 (383 383 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (358 106 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (60 20 (:REWRITE HIFAT-BOUNDED-FILE-ALIST-P-OF-CDAR))
 (6 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 )
(TRUE-LISTP-OF-HIFAT-TO-LOFAT-HELPER
 (361 61 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (360 120 (:REWRITE DEFAULT-CDR))
 (307 31 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (275 25 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (268 19 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (163 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (162 63 (:REWRITE DEFAULT-<-1))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (150 25 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (144 24 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (135 9 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (126 126 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (106 100 (:REWRITE DEFAULT-CAR))
 (104 104 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (102 51 (:REWRITE DEFAULT-+-2))
 (96 15 (:DEFINITION BINARY-APPEND))
 (92 63 (:REWRITE DEFAULT-<-2))
 (90 15 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (90 15 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (78 78 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (76 76 (:TYPE-PRESCRIPTION D-E-P))
 (76 76 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (75 15 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (75 15 (:REWRITE NTH-WHEN-D-E-P . 3))
 (72 24 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 30 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (52 52 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (51 51 (:REWRITE DEFAULT-+-1))
 (48 12 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (45 15 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (42 42 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 8 (:LINEAR NTH-WHEN-D-E-P))
 (36 36 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (30 30 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (30 15 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-P))
 (25 25 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (15 15 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (15 15 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (15 15 (:REWRITE SET::IN-SET))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(HIFAT-TO-LOFAT-HELPER-GUARD-LEMMA-1
 (2684 13 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1850 39 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1444 39 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (744 64 (:DEFINITION LEN))
 (686 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (575 39 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (543 343 (:REWRITE DEFAULT-CDR))
 (498 69 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (300 90 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (289 119 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (264 264 (:REWRITE DEFAULT-CAR))
 (224 128 (:REWRITE STR::CONSP-OF-EXPLODE))
 (192 192 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (172 4 (:LINEAR LEN-OF-EXPLODE-OF-M1-FILE-CONTENTS-FIX))
 (170 170 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (168 168 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (152 38 (:DEFINITION STRIP-CARS))
 (140 140 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (128 128 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (128 64 (:REWRITE DEFAULT-+-2))
 (126 42 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (126 42 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (112 61 (:REWRITE DEFAULT-<-1))
 (84 84 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (72 64 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (70 70 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (64 64 (:REWRITE DEFAULT-+-1))
 (62 62 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (61 61 (:REWRITE DEFAULT-<-2))
 (39 39 (:LINEAR POSITION-WHEN-MEMBER))
 (39 39 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (30 30 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (20 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 )
(HIFAT-TO-LOFAT-HELPER-GUARD-LEMMA-2
 (6 1 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (5 1 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (5 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-TAKE-AND-NTHCDR))
 (1 1 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 )
(HIFAT-TO-LOFAT-HELPER-GUARD-LEMMA-3)
(HIFAT-TO-LOFAT-HELPER
 (5050 10 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (2585 40 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (1389 40 (:REWRITE NFIX-WHEN-ZP))
 (932 30 (:DEFINITION LEN))
 (910 71 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (783 79 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (695 58 (:REWRITE STR::CONSP-OF-EXPLODE))
 (681 166 (:REWRITE DEFAULT-CDR))
 (670 410 (:REWRITE DEFAULT-+-2))
 (657 352 (:REWRITE DEFAULT-<-1))
 (560 410 (:REWRITE DEFAULT-+-1))
 (524 60 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (475 352 (:REWRITE DEFAULT-<-2))
 (391 56 (:DEFINITION BINARY-APPEND))
 (271 32 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (252 252 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (214 112 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (190 38 (:LINEAR NTH-WHEN-D-E-P))
 (169 145 (:REWRITE DEFAULT-CAR))
 (145 25 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (142 142 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (120 24 (:REWRITE NTH-WHEN-D-E-P . 3))
 (100 30 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (98 98 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (93 93 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (87 87 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (70 70 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (38 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (35 7 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (34 34 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (29 29 (:TYPE-PRESCRIPTION ZP))
 (18 18 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (18 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (12 2 (:REWRITE CONSP-OF-APPEND))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (7 7 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-TAKE-AND-NTHCDR))
 (5 5 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (3 3 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 1 (:REWRITE DEFAULT-*-2))
 (1 1 (:REWRITE DEFAULT-*-1))
 )
(MAX-ENTRY-COUNT-OF-HIFAT-TO-LOFAT-HELPER
 (361 61 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (360 120 (:REWRITE DEFAULT-CDR))
 (307 31 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (275 25 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (268 19 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (163 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (162 63 (:REWRITE DEFAULT-<-1))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (150 25 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (144 24 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (135 9 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (126 126 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (106 100 (:REWRITE DEFAULT-CAR))
 (104 104 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (102 51 (:REWRITE DEFAULT-+-2))
 (96 15 (:DEFINITION BINARY-APPEND))
 (92 63 (:REWRITE DEFAULT-<-2))
 (90 15 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (78 78 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (75 15 (:REWRITE NTH-WHEN-D-E-P . 3))
 (72 24 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 30 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (52 52 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (51 51 (:REWRITE DEFAULT-+-1))
 (48 12 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (46 46 (:TYPE-PRESCRIPTION D-E-P))
 (46 46 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (45 15 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (42 42 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 8 (:LINEAR NTH-WHEN-D-E-P))
 (36 36 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-P))
 (25 25 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(HIFAT-TO-LOFAT-GUARD-LEMMA-1
 (27 13 (:REWRITE DEFAULT-<-1))
 (17 17 (:REWRITE DEFAULT-+-2))
 (17 17 (:REWRITE DEFAULT-+-1))
 (13 13 (:REWRITE DEFAULT-<-2))
 (10 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (1 1 (:REWRITE UPDATE-BPB_SECPERCLUS-CORRECTNESS-2 . 3))
 (1 1 (:REWRITE UPDATE-BPB_RSVDSECCNT-CORRECTNESS-2 . 3))
 (1 1 (:REWRITE UPDATE-BPB_NUMFATS-CORRECTNESS-2 . 3))
 (1 1 (:REWRITE UPDATE-BPB_FATSZ32-CORRECTNESS-2 . 3))
 (1 1 (:REWRITE UPDATE-BPB_BYTSPERSEC-CORRECTNESS-2 . 3))
 )
(HIFAT-TO-LOFAT
 (4276 987 (:REWRITE NFIX-WHEN-ZP))
 (3328 2103 (:REWRITE DEFAULT-+-2))
 (3136 96 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (2732 2103 (:REWRITE DEFAULT-+-1))
 (2652 44 (:REWRITE MEMBER-OF-GENERATE-INDEX-LIST))
 (2647 27 (:REWRITE FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (2579 1420 (:REWRITE DEFAULT-<-1))
 (2571 279 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (2250 741 (:REWRITE DEFAULT-CDR))
 (2071 1420 (:REWRITE DEFAULT-<-2))
 (2058 210 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2049 261 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1761 27 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (1504 48 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (1440 225 (:DEFINITION BINARY-APPEND))
 (981 135 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (810 450 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (738 648 (:REWRITE DEFAULT-CAR))
 (702 105 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (672 51 (:DEFINITION MAKE-LIST-AC))
 (642 108 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (630 630 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (600 120 (:LINEAR NTH-WHEN-D-E-P))
 (525 105 (:REWRITE NTH-WHEN-D-E-P . 3))
 (525 39 (:DEFINITION GENERATE-INDEX-LIST))
 (468 138 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (450 450 (:TYPE-PRESCRIPTION D-E-P))
 (450 450 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (431 431 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (402 201 (:REWRITE DEFAULT-*-2))
 (333 333 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (330 330 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (315 315 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (272 272 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (245 25 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (204 68 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (204 68 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (201 201 (:REWRITE DEFAULT-*-1))
 (162 6 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (150 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (138 138 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (136 136 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (110 44 (:REWRITE MEMBER-WHEN-ATOM))
 (108 108 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (108 108 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (96 96 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (91 25 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (88 22 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (68 68 (:LINEAR POSITION-WHEN-MEMBER))
 (68 68 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (48 48 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (44 44 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (44 44 (:REWRITE SUBSETP-MEMBER . 4))
 (44 44 (:REWRITE SUBSETP-MEMBER . 3))
 (44 44 (:REWRITE SUBSETP-MEMBER . 2))
 (44 44 (:REWRITE SUBSETP-MEMBER . 1))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 3))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 2))
 (25 25 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (25 25 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 3 (:REWRITE UPDATE-BPB_SECPERCLUS-CORRECTNESS-2 . 3))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 )
(NATP-OF-HIFAT-TO-LOFAT
 (24176 44 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (6992 176 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (4840 88 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (4312 88 (:REWRITE LENGTH-WHEN-STRINGP))
 (4268 264 (:DEFINITION LEN))
 (3960 88 (:REWRITE FAT-LENGTH-OF-UPDATE-FATI))
 (2508 396 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2420 748 (:REWRITE DEFAULT-CDR))
 (2358 146 (:REWRITE NFIX-WHEN-ZP))
 (2332 176 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2100 2100 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1980 132 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1936 176 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1936 88 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1779 789 (:REWRITE DEFAULT-<-2))
 (1584 176 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1544 789 (:REWRITE DEFAULT-<-1))
 (1408 1408 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (1408 220 (:DEFINITION BINARY-APPEND))
 (1320 220 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1320 220 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1056 176 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1056 176 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (1056 176 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1056 88 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (996 332 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (968 88 (:DEFINITION MAX))
 (836 88 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (822 14 (:REWRITE MEMBER-OF-GENERATE-INDEX-LIST))
 (818 466 (:REWRITE DEFAULT-+-2))
 (816 816 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (816 816 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (792 440 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (792 88 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (748 88 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (732 732 (:TYPE-PRESCRIPTION LEN))
 (624 168 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (616 616 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (616 616 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (572 484 (:REWRITE DEFAULT-CAR))
 (531 91 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (528 528 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (528 176 (:REWRITE LOFAT-FS-P-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (466 466 (:REWRITE DEFAULT-+-1))
 (440 440 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (440 440 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (440 88 (:REWRITE NTH-WHEN-D-E-P . 3))
 (408 408 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (380 16 (:REWRITE FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (364 40 (:DEFINITION MAKE-LIST-AC))
 (352 352 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (352 352 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (352 88 (:REWRITE FAT-LENGTH-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (308 308 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (278 146 (:REWRITE NFIX-WHEN-NATP))
 (264 264 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (264 88 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (264 88 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (220 220 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (176 176 (:TYPE-PRESCRIPTION M1-FILE-P))
 (176 176 (:TYPE-PRESCRIPTION D-E-P))
 (176 176 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (176 176 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (176 176 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (140 14 (:REWRITE LEN-OF-MAKE-LIST-AC))
 (104 104 (:TYPE-PRESCRIPTION ZP))
 (88 88 (:TYPE-PRESCRIPTION NFIX))
 (88 88 (:LINEAR POSITION-WHEN-MEMBER))
 (88 88 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (72 12 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 2))
 (70 14 (:REWRITE COMMUTATIVITY-OF-+))
 (56 56 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (44 44 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (42 42 (:TYPE-PRESCRIPTION GENERATE-INDEX-LIST))
 (42 14 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-MAKE-LIST-AC))
 (28 28 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (28 28 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (28 28 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (28 14 (:REWRITE UNICITY-OF-0))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE SUBSETP-MEMBER . 3))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (14 14 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (14 14 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (14 14 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 )
(LOFAT-FS-P-OF-HIFAT-TO-LOFAT
 (5210 108 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (3824 54 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (3602 54 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (3180 42 (:REWRITE MEMBER-OF-GENERATE-INDEX-LIST))
 (2975 24 (:REWRITE FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (2013 24 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (1816 363 (:REWRITE NFIX-WHEN-ZP))
 (1782 54 (:REWRITE LENGTH-WHEN-STRINGP))
 (1386 863 (:REWRITE DEFAULT-+-2))
 (1263 628 (:REWRITE DEFAULT-<-1))
 (1215 54 (:DEFINITION LEN))
 (1107 863 (:REWRITE DEFAULT-+-1))
 (983 628 (:REWRITE DEFAULT-<-2))
 (945 351 (:REWRITE DEFAULT-CDR))
 (864 135 (:DEFINITION BINARY-APPEND))
 (783 108 (:REWRITE STR::CONSP-OF-EXPLODE))
 (756 756 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (756 108 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (756 54 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (714 51 (:DEFINITION MAKE-LIST-AC))
 (675 135 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (648 108 (:DEFINITION MIN))
 (630 45 (:DEFINITION GENERATE-INDEX-LIST))
 (486 270 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (378 378 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (372 102 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (351 297 (:REWRITE DEFAULT-CAR))
 (324 108 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (324 108 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (324 54 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (297 54 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (294 294 (:TYPE-PRESCRIPTION GENERATE-INDEX-LIST))
 (270 270 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (270 54 (:REWRITE NTH-WHEN-D-E-P . 3))
 (243 243 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (243 81 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (243 54 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (231 21 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (216 216 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (189 189 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (162 162 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (159 159 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (135 135 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (108 108 (:TYPE-PRESCRIPTION M1-FILE-P))
 (108 108 (:TYPE-PRESCRIPTION D-E-P))
 (108 108 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (108 108 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (105 42 (:REWRITE MEMBER-WHEN-ATOM))
 (84 21 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (84 21 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (79 79 (:TYPE-PRESCRIPTION ZP))
 (54 54 (:TYPE-PRESCRIPTION NFIX))
 (54 54 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (54 54 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (42 42 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (42 42 (:REWRITE SUBSETP-MEMBER . 4))
 (42 42 (:REWRITE SUBSETP-MEMBER . 3))
 (42 42 (:REWRITE SUBSETP-MEMBER . 2))
 (42 42 (:REWRITE SUBSETP-MEMBER . 1))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 3))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 2))
 (27 27 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (21 21 (:TYPE-PRESCRIPTION NAT-LISTP))
 (21 21 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (21 21 (:REWRITE GENERATE-INDEX-LIST-CORRECTNESS-1))
 (21 21 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (14 2 (:DEFINITION NFIX))
 )
(FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1
 (8648 23 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (2254 46 (:REWRITE LENGTH-WHEN-STRINGP))
 (1587 46 (:DEFINITION LEN))
 (1311 207 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1219 92 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1177 300 (:REWRITE DEFAULT-CDR))
 (1035 69 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1012 92 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (916 57 (:REWRITE ZP-OPEN))
 (845 338 (:REWRITE DEFAULT-<-1))
 (828 92 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (794 64 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (736 115 (:DEFINITION BINARY-APPEND))
 (690 115 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (690 115 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (598 598 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (566 13 (:REWRITE NFIX-WHEN-ZP))
 (552 92 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (469 338 (:REWRITE DEFAULT-<-2))
 (439 4 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (437 46 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (421 2 (:REWRITE MEMBER-WHEN-ATOM))
 (414 414 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (414 414 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (414 230 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (391 46 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (368 92 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (368 92 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (322 322 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (322 322 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (311 182 (:REWRITE DEFAULT-+-2))
 (303 254 (:REWRITE DEFAULT-CAR))
 (301 49 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (276 276 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (276 276 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (240 48 (:REWRITE NTH-WHEN-D-E-P . 3))
 (235 182 (:REWRITE DEFAULT-+-1))
 (230 230 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (230 230 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (207 207 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (184 46 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (161 161 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (138 138 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (115 115 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (110 110 (:TYPE-PRESCRIPTION D-E-P))
 (110 110 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (92 92 (:TYPE-PRESCRIPTION M1-FILE-P))
 (92 92 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (92 46 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (70 70 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (47 1 (:DEFINITION MEMBER-EQUAL))
 (46 46 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (23 23 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (19 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (9 9 (:TYPE-PRESCRIPTION ZP))
 (7 3 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:TYPE-PRESCRIPTION NAT-LISTP))
 (1 1 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (1 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 )
(FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2
 (2256 6 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (588 12 (:REWRITE LENGTH-WHEN-STRINGP))
 (414 12 (:DEFINITION LEN))
 (342 54 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (318 24 (:REWRITE STR::CONSP-OF-EXPLODE))
 (306 78 (:REWRITE DEFAULT-CDR))
 (270 18 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (264 24 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (216 24 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (197 76 (:REWRITE DEFAULT-<-1))
 (192 30 (:DEFINITION BINARY-APPEND))
 (183 15 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (180 30 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (180 30 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (156 156 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (144 24 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (114 12 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (108 108 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (108 108 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (108 60 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (102 12 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (100 76 (:REWRITE DEFAULT-<-2))
 (96 24 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (96 24 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (96 12 (:REWRITE ZP-OPEN))
 (84 84 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (84 84 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (78 66 (:REWRITE DEFAULT-CAR))
 (72 72 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (72 72 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (72 12 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (60 60 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (60 12 (:REWRITE NTH-WHEN-D-E-P . 3))
 (54 54 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 48 (:TYPE-PRESCRIPTION FAT-ENTRY-COUNT))
 (48 12 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (42 42 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (36 36 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION D-E-P))
 (24 24 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (24 24 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (24 12 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (24 12 (:REWRITE DEFAULT-+-2))
 (16 16 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (12 12 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (12 12 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (12 12 (:REWRITE DEFAULT-+-1))
 (6 6 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT
 (11114 1297 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (10282 742 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8562 532 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (7902 312 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (7841 1531 (:REWRITE DEFAULT-CDR))
 (7422 589 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (6101 439 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5508 306 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (4158 693 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3934 3934 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3653 1506 (:REWRITE DEFAULT-<-1))
 (3572 340 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (3472 538 (:DEFINITION BINARY-APPEND))
 (3192 532 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3048 219 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2295 153 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1967 1967 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1963 1506 (:REWRITE DEFAULT-<-2))
 (1956 1076 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1553 401 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (1540 1540 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (1506 1286 (:REWRITE DEFAULT-CAR))
 (1498 1498 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1334 225 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1109 225 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1071 153 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (1064 1064 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1048 1048 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1048 742 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (846 474 (:REWRITE DEFAULT-+-2))
 (640 640 (:TYPE-PRESCRIPTION D-E-P))
 (640 640 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (564 474 (:REWRITE DEFAULT-+-1))
 (532 532 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (470 94 (:LINEAR NTH-WHEN-D-E-P))
 (395 395 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (306 306 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (257 62 (:REWRITE NFIX-WHEN-ZP))
 (153 153 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (41 41 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (34 34 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (33 13 (:REWRITE NTH-WHEN-D-E-P . 2))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(PLACE-CONTENTS-EXPANSION-1
 (1215 33 (:REWRITE MAKE-CLUSTERS-CORRECTNESS-1 . 1))
 (567 3 (:DEFINITION STOBJ-SET-CLUSTERS))
 (389 49 (:REWRITE DEFAULT-CDR))
 (375 33 (:DEFINITION LENGTH))
 (231 99 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (180 180 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (161 68 (:REWRITE DEFAULT-<-2))
 (138 21 (:REWRITE DEFAULT-CAR))
 (132 132 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (132 33 (:REWRITE LENGTH-WHEN-STRINGP))
 (117 51 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (105 56 (:REWRITE DEFAULT-+-2))
 (68 68 (:REWRITE DEFAULT-<-1))
 (66 33 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (56 56 (:REWRITE DEFAULT-+-1))
 (51 51 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (51 51 (:TYPE-PRESCRIPTION ATOM))
 (33 33 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (27 27 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (27 18 (:REWRITE STR::CONSP-OF-EXPLODE))
 (25 5 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (18 3 (:DEFINITION BINARY-APPEND))
 (15 15 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (15 7 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (15 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (14 14 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (12 3 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (10 10 (:TYPE-PRESCRIPTION D-E-P))
 (10 10 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (9 3 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 )
(PLACE-CONTENTS-EXPANSION-2
 (819 23 (:REWRITE MAKE-CLUSTERS-CORRECTNESS-1 . 1))
 (247 25 (:REWRITE DEFAULT-CDR))
 (220 22 (:REWRITE ZP-OPEN))
 (209 23 (:DEFINITION LENGTH))
 (189 1 (:DEFINITION STOBJ-SET-CLUSTERS))
 (161 69 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (132 132 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (113 46 (:REWRITE DEFAULT-<-2))
 (92 92 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (92 23 (:REWRITE LENGTH-WHEN-STRINGP))
 (81 35 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (61 32 (:REWRITE DEFAULT-+-2))
 (46 46 (:REWRITE DEFAULT-<-1))
 (46 23 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (46 7 (:REWRITE DEFAULT-CAR))
 (35 35 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (35 35 (:TYPE-PRESCRIPTION ATOM))
 (32 32 (:REWRITE DEFAULT-+-1))
 (23 23 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (13 5 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (10 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 2 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (9 9 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (9 6 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:TYPE-PRESCRIPTION DATA-REGION-LENGTH))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER))
 (5 5 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 1 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (3 1 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 )
(MAKE-D-E-LIST-OF-APPEND-1
 (7740 16 (:DEFINITION SUBSEQ))
 (6984 16 (:DEFINITION SUBSEQ-LIST))
 (5415 56 (:DEFINITION TAKE))
 (3190 144 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (2048 2048 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1903 708 (:REWRITE DEFAULT-CDR))
 (1802 1802 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1296 432 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1296 432 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1280 16 (:DEFINITION NTHCDR))
 (1200 643 (:REWRITE DEFAULT-+-2))
 (1151 36 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (1108 16 (:REWRITE LEN-OF-NTHCDR))
 (1052 32 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1004 63 (:DEFINITION CHARACTER-LISTP))
 (864 864 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (828 126 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (792 16 (:REWRITE CAR-OF-NTHCDR))
 (657 643 (:REWRITE DEFAULT-+-1))
 (624 32 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (600 16 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (486 334 (:REWRITE DEFAULT-<-2))
 (480 160 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (432 432 (:LINEAR POSITION-WHEN-MEMBER))
 (432 432 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (428 428 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (428 16 (:REWRITE CONSP-OF-NTHCDR))
 (382 334 (:REWRITE DEFAULT-<-1))
 (380 32 (:REWRITE ZP-OPEN))
 (372 16 (:REWRITE NFIX-WHEN-ZP))
 (356 17 (:REWRITE CHARACTERP-NTH))
 (332 48 (:DEFINITION BINARY-APPEND))
 (326 30 (:REWRITE LEN-OF-MAKE-CHARACTER-LIST))
 (315 315 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (312 16 (:REWRITE NFIX-WHEN-NATP))
 (285 285 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (256 16 (:DEFINITION NATP))
 (212 212 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (186 10 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (178 151 (:REWRITE DEFAULT-CAR))
 (174 87 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (160 80 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (154 68 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (132 106 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (132 96 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (126 63 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-CDR-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (111 29 (:REWRITE CAR-OF-CHARS=>NATS))
 (96 16 (:DEFINITION NFIX))
 (87 87 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (87 87 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (86 86 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (81 57 (:REWRITE CONSP-OF-CHARS=>NATS))
 (75 36 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (70 70 (:TYPE-PRESCRIPTION TAKE))
 (63 18 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (48 16 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (39 10 (:REWRITE CAR-OF-TAKE))
 (32 32 (:TYPE-PRESCRIPTION LENGTH))
 (32 32 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 30 (:REWRITE CONSP-OF-TAKE))
 (29 29 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (29 29 (:REWRITE DEFAULT-CHAR-CODE))
 (20 10 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-TAKE))
 (16 16 (:TYPE-PRESCRIPTION ZP))
 (16 16 (:TYPE-PRESCRIPTION NATP))
 (16 16 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 (12 12 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 )
(MAKE-D-E-LIST-OF-APPEND-2-LEMMA-1
 (6928 82 (:DEFINITION TAKE))
 (4448 801 (:REWRITE DEFAULT-CDR))
 (3322 43 (:DEFINITION BINARY-APPEND))
 (2280 36 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2246 18 (:DEFINITION NTHCDR))
 (2006 83 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1708 1708 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1679 941 (:REWRITE DEFAULT-+-2))
 (1670 48 (:REWRITE ZP-OPEN))
 (1574 36 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1428 48 (:REWRITE CONSP-OF-NTHCDR))
 (1258 64 (:REWRITE NFIX-WHEN-ZP))
 (1138 50 (:REWRITE REARRANGE-NEGATIVE-COEFS-<))
 (1078 2 (:REWRITE NTH-OF-NATS=>CHARS))
 (1031 941 (:REWRITE DEFAULT-+-1))
 (994 20 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (977 977 (:REWRITE EXPT-COMPARE-EQUAL))
 (977 977 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (971 971 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (971 971 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (971 971 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (969 323 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (969 323 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (967 967 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (967 967 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (876 117 (:REWRITE DEFAULT-CAR))
 (874 10 (:REWRITE MAKE-D-E-LIST-OF-APPEND-1))
 (792 35 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (664 45 (:REWRITE CONSP-OF-CHARS=>NATS))
 (648 40 (:REWRITE CAR-OF-CHARS=>NATS))
 (646 646 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (639 639 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (639 639 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (639 639 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (639 639 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (639 639 (:REWRITE EXPT-COMPARE))
 (639 639 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (628 4 (:REWRITE NTHCDR-OF-NTHCDR))
 (624 208 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (624 16 (:LINEAR NTH-WHEN-D-E-P))
 (617 503 (:REWRITE DEFAULT-<-2))
 (608 18 (:REWRITE CAR-OF-NTHCDR))
 (595 503 (:REWRITE DEFAULT-<-1))
 (557 389 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (510 2 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (503 503 (:META CANCEL_PLUS-LESSP-CORRECT))
 (488 2 (:REWRITE DEFAULT-CODE-CHAR))
 (323 323 (:LINEAR POSITION-WHEN-MEMBER))
 (323 323 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (276 82 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (256 8 (:DEFINITION NFIX))
 (252 36 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (206 206 (:TYPE-PRESCRIPTION MOD-NON-POSITIVE-TYPE-PRESCRIPTION))
 (204 204 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (188 2 (:REWRITE CHARS=>NATS-OF-NTHCDR))
 (184 8 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (182 6 (:REWRITE CONSP-OF-TAKE))
 (174 4 (:REWRITE REARRANGE-NEGATIVE-COEFS-EQUAL))
 (168 168 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (160 16 (:REWRITE A1))
 (156 156 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (142 40 (:REWRITE DEFAULT-CHAR-CODE))
 (140 64 (:REWRITE A4))
 (116 58 (:REWRITE UNICITY-OF-1))
 (108 16 (:REWRITE MOVE-NEGATIVE-CONSTANT-1))
 (104 8 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (92 68 (:REWRITE NONNEG-+))
 (88 8 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (82 82 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (78 10 (:REWRITE A2))
 (74 4 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (74 2 (:REWRITE UNSIGNED-BYTE-LISTP-OF-NTHCDR))
 (72 72 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (68 68 (:REWRITE DEFAULT-*-2))
 (68 68 (:REWRITE DEFAULT-*-1))
 (68 10 (:REWRITE A9))
 (58 2 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (52 36 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (50 50 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (48 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (34 34 (:TYPE-PRESCRIPTION ZP))
 (32 20 (:REWRITE MOD-WITH-X-A-NON-ACL2-NUMBER-IS-ZERO))
 (32 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (32 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (32 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (30 6 (:REWRITE NTH-WHEN-D-E-P . 2))
 (28 28 (:TYPE-PRESCRIPTION TAKE))
 (28 28 (:REWRITE FOLD-CONSTS-IN-+))
 (26 26 (:REWRITE D-E-P-OF-D-E-FIX))
 (24 24 (:REWRITE MOD-WHEN-Y-IS-AN-INVERSE))
 (24 24 (:REWRITE MOD-MINUS-ALT))
 (24 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (24 2 (:REWRITE MOD-DROP-IRRELEVANT-SECOND-TERM))
 (20 20 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (20 10 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-CDR-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (20 4 (:REWRITE NTH-WHEN-D-E-P . 3))
 (20 4 (:REWRITE A5))
 (16 16 (:TYPE-PRESCRIPTION NAT-LISTP))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (16 16 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE COLLECT-CONSTANTS-IN-EQUAL-OF-SUMS))
 (8 8 (:REWRITE POWER2-INTEGER))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE INTEGERP-MINUS))
 (8 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (8 8 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL-WITH-0))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 4 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (6 2 (:REWRITE COMMUTATIVITY-OF-*))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-TAKE-AND-NTHCDR))
 (4 2 (:REWRITE LEN-OF-NATS=>CHARS))
 (2 2 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (2 2 (:REWRITE INTEGERP-PROD))
 )
(MAKE-D-E-LIST-OF-APPEND-2
 (70 4 (:REWRITE MOD-DOES-NOTHING))
 (30 30 (:TYPE-PRESCRIPTION MOD-NON-POSITIVE-TYPE-PRESCRIPTION))
 (27 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (24 1 (:REWRITE MAKE-D-E-LIST-OF-APPEND-1))
 (20 4 (:DEFINITION LEN))
 (19 1 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (14 2 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (11 6 (:REWRITE DEFAULT-<-1))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 4 (:REWRITE MOD-WITH-X-A-NON-ACL2-NUMBER-IS-ZERO))
 (8 4 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (6 6 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (6 6 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (6 6 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (6 6 (:REWRITE EXPT-COMPARE))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (6 6 (:META CANCEL_PLUS-LESSP-CORRECT))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5 5 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (5 1 (:DEFINITION BINARY-APPEND))
 (4 4 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (4 4 (:REWRITE MOD-WHEN-Y-IS-AN-INVERSE))
 (4 4 (:REWRITE MOD-MINUS-ALT))
 (4 4 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE EXPT-COMPARE-EQUAL))
 (2 2 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (2 2 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (2 2 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (2 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2 2 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (2 2 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (2 1 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-CDR-WHEN-HEX-DIGIT-CHAR-LIST*P))
 )
(MAKE-D-E-LIST-OF-IMPLODE-OF-MAKE-LIST-AC-1
 (4757 25 (:DEFINITION TAKE))
 (3096 50 (:REWRITE TAKE-OF-LEN-FREE))
 (2665 79 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (2653 167 (:DEFINITION LEN))
 (2516 28 (:REWRITE CAR-OF-NTHCDR))
 (2156 16 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (1988 44 (:DEFINITION CHARACTER-LISTP))
 (1781 266 (:REWRITE DEFAULT-CDR))
 (1576 26 (:REWRITE LEN-OF-NTHCDR))
 (1276 1276 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1148 574 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (1124 10 (:REWRITE CHARACTER-LISTP-OF-TAKE))
 (928 94 (:REWRITE NFIX-WHEN-ZP))
 (874 72 (:REWRITE ZP-OPEN))
 (846 282 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (846 282 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (836 102 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (688 8 (:DEFINITION NTHCDR))
 (652 24 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (612 40 (:DEFINITION NATP))
 (574 574 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (574 574 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (574 435 (:REWRITE DEFAULT-<-2))
 (564 564 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (544 24 (:REWRITE CONSP-OF-NTHCDR))
 (482 435 (:REWRITE DEFAULT-<-1))
 (476 272 (:REWRITE DEFAULT-+-2))
 (472 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (470 24 (:REWRITE CHARACTERP-NTH))
 (450 450 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (434 12 (:REWRITE CAR-OF-TAKE))
 (432 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (420 96 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (396 12 (:REWRITE NTH-OF-NTHCDR))
 (376 8 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (362 46 (:REWRITE CONSP-OF-TAKE))
 (310 74 (:DEFINITION NFIX))
 (298 272 (:REWRITE DEFAULT-+-1))
 (282 282 (:LINEAR POSITION-WHEN-MEMBER))
 (282 282 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (280 24 (:REWRITE LEN-OF-MAKE-CHARACTER-LIST))
 (266 266 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (262 88 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (252 12 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (236 236 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (222 74 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (210 6 (:REWRITE CHARACTER-LISTP-OF-NTHCDR))
 (184 6 (:REWRITE CAR-OF-CHARS=>NATS))
 (176 176 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (160 4 (:REWRITE CHARACTER-LISTP-OF-MAKE-LIST-AC))
 (152 16 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (120 6 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (110 7 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (96 39 (:REWRITE DEFAULT-CAR))
 (88 44 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-CDR-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (76 6 (:REWRITE DEFAULT-CHAR-CODE))
 (42 4 (:REWRITE TAKE-OF-MAKE-LIST-AC))
 (40 40 (:TYPE-PRESCRIPTION NATP))
 (35 17 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (34 6 (:REWRITE CONSP-OF-CHARS=>NATS))
 (28 12 (:REWRITE FOLD-CONSTS-IN-+))
 (26 26 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (26 2 (:REWRITE LEN-OF-NATS=>CHARS))
 (24 24 (:TYPE-PRESCRIPTION CHARS=>NATS))
 (24 8 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (24 2 (:REWRITE COMMUTATIVITY-2-OF-+))
 (20 10 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-TAKE))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (16 16 (:TYPE-PRESCRIPTION LENGTH))
 (12 6 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-NTHCDR))
 (10 10 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (6 2 (:REWRITE CDR-OF-MAKE-LIST))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (4 4 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (2 2 (:REWRITE CAR-OF-MAKE-LIST))
 )
(MAKE-D-E-LIST-INVERSION
 (4210 30 (:DEFINITION TAKE))
 (2950 60 (:REWRITE TAKE-OF-LEN-FREE))
 (2132 8 (:REWRITE CAR-OF-NTHCDR))
 (2086 19 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (2016 91 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1802 19 (:REWRITE DEFAULT-CODE-CHAR))
 (1658 151 (:LINEAR NTH-WHEN-D-E-P))
 (1590 232 (:DEFINITION LEN))
 (1473 75 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (1410 1410 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (995 995 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (876 292 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (876 292 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (842 88 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (825 295 (:REWRITE DEFAULT-CDR))
 (584 584 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (512 280 (:REWRITE DEFAULT-+-2))
 (512 8 (:DEFINITION NTHCDR))
 (478 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (466 8 (:REWRITE LEN-OF-NTHCDR))
 (462 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (452 371 (:REWRITE DEFAULT-<-2))
 (447 31 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (398 1 (:REWRITE MAKE-D-E-LIST-OF-APPEND-2))
 (390 371 (:REWRITE DEFAULT-<-1))
 (363 121 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (302 8 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (299 13 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (292 292 (:LINEAR POSITION-WHEN-MEMBER))
 (292 292 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (289 88 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (289 88 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (280 280 (:REWRITE DEFAULT-+-1))
 (274 274 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (232 16 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (214 8 (:REWRITE CONSP-OF-NTHCDR))
 (188 94 (:REWRITE DEFAULT-*-2))
 (164 8 (:REWRITE NFIX-WHEN-ZP))
 (140 8 (:REWRITE NFIX-WHEN-NATP))
 (124 8 (:DEFINITION NATP))
 (94 94 (:REWRITE DEFAULT-*-1))
 (88 88 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (88 88 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (88 88 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (86 44 (:REWRITE DEFAULT-CAR))
 (80 40 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (70 10 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (52 13 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (50 5 (:REWRITE LEN-OF-CHARS=>NATS))
 (32 1 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (24 24 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (24 8 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (24 8 (:REWRITE FOLD-CONSTS-IN-+))
 (24 8 (:DEFINITION NFIX))
 (22 4 (:DEFINITION BINARY-APPEND))
 (20 20 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (20 10 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION LENGTH))
 (16 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 12 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (11 8 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (11 1 (:REWRITE NATS=>CHARS-OF-CHARS=>NATS))
 (10 2 (:REWRITE CAR-OF-CHARS=>NATS))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION CHARS=>NATS))
 (8 8 (:REWRITE NTH-WHEN-D-E-P . 3))
 (8 2 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (8 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (6 2 (:REWRITE CONSP-OF-CHARS=>NATS))
 (4 1 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE RETURN-TYPE-OF-CHARS=>NATS))
 (2 2 (:REWRITE DEFAULT-CHAR-CODE))
 (1 1 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-TAKE-AND-NTHCDR))
 )
(USELESS-D-E-P-OF-D-E-SET-FILENAME-OF-CONSTANT
 (50287 1661 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (44238 6 (:DEFINITION D-E-FIX))
 (36819 1661 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (27470 134 (:DEFINITION TAKE))
 (26032 859 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (25326 804 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (23670 5560 (:REWRITE DEFAULT-CDR))
 (21842 804 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (17752 17752 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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(NON-FREE-INDEX-LISTP)
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 (10870 2174 (:LINEAR NTH-WHEN-D-E-P))
 (7560 1260 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
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 (6400 991 (:DEFINITION BINARY-APPEND))
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 (6094 6094 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (5996 44 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (5790 965 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5451 381 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4725 315 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3615 3615 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3613 1471 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (3606 1982 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (3461 3461 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (2842 2842 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (2734 2328 (:REWRITE DEFAULT-CAR))
 (2691 539 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2688 2688 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2550 682 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2205 315 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (2152 528 (:REWRITE NTH-WHEN-D-E-P . 3))
 (2020 2020 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2020 1390 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1930 1930 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (965 965 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (630 630 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (350 350 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (315 315 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (156 4 (:DEFINITION MEMBER-EQUAL))
 (70 70 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (60 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (52 52 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (44 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (26 26 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 4 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (13 13 (:LINEAR POSITION-WHEN-MEMBER))
 (13 13 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (12 12 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE MEMBER-WHEN-ATOM))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
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 )
(NON-FREE-INDEX-LISTP-CORRECTNESS-5
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 (550 21 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (452 11 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (339 15 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (330 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (309 69 (:REWRITE ZP-OPEN))
 (288 6 (:DEFINITION MEMBER-EQUAL))
 (280 10 (:REWRITE MEMBER-WHEN-ATOM))
 (276 276 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (175 21 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (165 33 (:DEFINITION LEN))
 (153 102 (:REWRITE DEFAULT-<-2))
 (121 11 (:REWRITE NFIX-WHEN-ZP))
 (121 11 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (116 102 (:REWRITE DEFAULT-<-1))
 (112 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (108 108 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (71 11 (:REWRITE NFIX-WHEN-NATP))
 (68 35 (:REWRITE DEFAULT-+-2))
 (60 16 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (58 43 (:REWRITE DEFAULT-CDR))
 (54 54 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (54 39 (:REWRITE DEFAULT-CAR))
 (38 38 (:TYPE-PRESCRIPTION ZP))
 (36 9 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (35 35 (:REWRITE DEFAULT-+-1))
 (35 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (32 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (27 27 (:LINEAR POSITION-WHEN-MEMBER))
 (27 27 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (21 21 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (20 5 (:DEFINITION NFIX))
 (16 16 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (16 16 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (14 14 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (14 14 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE SUBSETP-MEMBER . 1))
 (11 11 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (10 6 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (7 7 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 (5 5 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 )
(NON-FREE-INDEX-LISTP-OF-APPEND
 (594 27 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (416 18 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (378 74 (:DEFINITION LEN))
 (316 20 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (270 18 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (236 20 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (192 192 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (168 144 (:REWRITE DEFAULT-CAR))
 (164 109 (:REWRITE DEFAULT-CDR))
 (152 76 (:REWRITE DEFAULT-+-2))
 (130 130 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (129 43 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (129 43 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (126 36 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (116 58 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (110 21 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (108 36 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (108 18 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (106 81 (:REWRITE DEFAULT-<-2))
 (86 86 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (84 28 (:REWRITE CAR-OF-APPEND))
 (81 81 (:REWRITE DEFAULT-<-1))
 (76 76 (:REWRITE DEFAULT-+-1))
 (58 58 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (43 43 (:LINEAR POSITION-WHEN-MEMBER))
 (43 43 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (36 36 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (36 36 (:TYPE-PRESCRIPTION D-E-P))
 (36 36 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (36 36 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (36 18 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (27 27 (:TYPE-PRESCRIPTION NFIX))
 (27 27 (:REWRITE NFIX-WHEN-ZP))
 (27 27 (:REWRITE NFIX-WHEN-NATP))
 (22 22 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (21 21 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (21 21 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (21 21 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (20 20 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (18 18 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (18 18 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (18 18 (:REWRITE SET::IN-SET))
 (14 14 (:REWRITE CONSP-OF-APPEND))
 (11 1 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (7 7 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (5 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 )
(NON-FREE-INDEX-LISTP-OF-FAT32-BUILD-INDEX-LIST
 (464 30 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (260 52 (:DEFINITION LEN))
 (190 128 (:REWRITE DEFAULT-<-1))
 (150 33 (:REWRITE NFIX-WHEN-NATP))
 (134 128 (:REWRITE DEFAULT-<-2))
 (116 64 (:REWRITE DEFAULT-+-2))
 (116 33 (:REWRITE NFIX-WHEN-ZP))
 (107 37 (:REWRITE ZP-OPEN))
 (68 58 (:REWRITE DEFAULT-CDR))
 (66 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (64 64 (:REWRITE DEFAULT-+-1))
 (64 16 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (56 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (49 25 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (45 3 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (40 8 (:DEFINITION NATP))
 (37 24 (:REWRITE DEFAULT-CAR))
 (36 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (27 3 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (18 6 (:DEFINITION NFIX))
 (15 3 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11 11 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (11 11 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (9 9 (:TYPE-PRESCRIPTION NATP))
 (9 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FAT32-BUILD-INDEX-LIST))
 (8 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:TYPE-PRESCRIPTION NAT-LISTP))
 (5 5 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (5 5 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (3 3 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (3 3 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE FAT32-ENTRY-MASK-CORRECTNESS-1))
 )
(FREE-INDEX-LISTP-OF-UPDATE-NTH
 (2738 73 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (507 30 (:REWRITE LEN-UPDATE-NTH))
 (387 32 (:REWRITE ZP-OPEN))
 (365 73 (:DEFINITION LEN))
 (316 205 (:REWRITE DEFAULT-<-2))
 (296 58 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (235 205 (:REWRITE DEFAULT-<-1))
 (192 30 (:DEFINITION MAX))
 (187 17 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (172 172 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (158 85 (:REWRITE DEFAULT-+-2))
 (129 43 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (129 43 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (119 17 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (102 34 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (89 24 (:DEFINITION NATP))
 (86 86 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (85 85 (:REWRITE DEFAULT-+-1))
 (77 77 (:REWRITE DEFAULT-CDR))
 (61 61 (:REWRITE DEFAULT-CAR))
 (44 44 (:TYPE-PRESCRIPTION ZP))
 (43 43 (:LINEAR POSITION-WHEN-MEMBER))
 (43 43 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (34 34 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (34 34 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (34 34 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (32 16 (:TYPE-PRESCRIPTION MAX))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (17 17 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (17 17 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (17 17 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 )
(COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-LEMMA-1
 (3780 108 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (653 85 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (540 108 (:DEFINITION LEN))
 (530 41 (:REWRITE ZP-OPEN))
 (460 36 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (397 274 (:REWRITE DEFAULT-<-2))
 (384 384 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (288 96 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (288 96 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (286 274 (:REWRITE DEFAULT-<-1))
 (259 12 (:REWRITE LEN-UPDATE-NTH))
 (240 60 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (224 116 (:REWRITE DEFAULT-+-2))
 (192 192 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (191 191 (:REWRITE DEFAULT-CAR))
 (144 20 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (122 122 (:REWRITE DEFAULT-CDR))
 (120 12 (:REWRITE FREE-INDEX-LISTP-OF-UPDATE-NTH))
 (116 116 (:REWRITE DEFAULT-+-1))
 (107 29 (:DEFINITION NATP))
 (98 16 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (96 96 (:LINEAR POSITION-WHEN-MEMBER))
 (96 96 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (80 12 (:DEFINITION MAX))
 (60 60 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (60 60 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (60 60 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (57 57 (:TYPE-PRESCRIPTION ZP))
 (48 8 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (44 44 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (44 44 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (40 20 (:TYPE-PRESCRIPTION MAX))
 (36 36 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (29 29 (:TYPE-PRESCRIPTION NATP))
 (20 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 )
(COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1
 (869 53 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (702 439 (:REWRITE DEFAULT-+-2))
 (531 27 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (461 439 (:REWRITE DEFAULT-+-1))
 (423 27 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (356 19 (:DEFINITION MEMBER-EQUAL))
 (314 302 (:REWRITE DEFAULT-CDR))
 (309 55 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (308 261 (:REWRITE DEFAULT-<-2))
 (268 261 (:REWRITE DEFAULT-<-1))
 (250 36 (:REWRITE SUBSETP-CAR-MEMBER))
 (213 122 (:REWRITE NFIX-WHEN-ZP))
 (170 158 (:REWRITE DEFAULT-CAR))
 (156 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (147 6 (:REWRITE NTH-UPDATE-NTH))
 (131 9 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (114 114 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (100 100 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (87 5 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-4))
 (85 3 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 2))
 (70 14 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (70 14 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (60 60 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (60 60 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (57 57 (:LINEAR POSITION-WHEN-MEMBER))
 (57 57 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (55 55 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (55 55 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (55 55 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (50 50 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (50 50 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (38 38 (:REWRITE SUBSETP-MEMBER . 4))
 (38 38 (:REWRITE SUBSETP-MEMBER . 3))
 (38 38 (:REWRITE SUBSETP-MEMBER . 2))
 (38 38 (:REWRITE SUBSETP-MEMBER . 1))
 (38 38 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (38 38 (:REWRITE MEMBER-WHEN-ATOM))
 (38 38 (:REWRITE INTERSECTP-MEMBER . 3))
 (38 38 (:REWRITE INTERSECTP-MEMBER . 2))
 (38 38 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (35 5 (:REWRITE UPDATE-NTH-OF-UPDATE-NTH-1))
 (27 27 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (13 13 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 )
(COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-2
 (1852 39 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1096 66 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1009 43 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (937 60 (:REWRITE NFIX-WHEN-ZP))
 (903 146 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (846 31 (:REWRITE ZP-OPEN))
 (494 98 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (468 238 (:REWRITE DEFAULT-+-2))
 (452 204 (:REWRITE DEFAULT-<-1))
 (437 204 (:REWRITE DEFAULT-<-2))
 (432 31 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (395 59 (:REWRITE SUBSETP-CAR-MEMBER))
 (380 32 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (360 360 (:REWRITE DEFAULT-CDR))
 (321 27 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (312 59 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (278 238 (:REWRITE DEFAULT-+-1))
 (267 27 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (212 212 (:REWRITE DEFAULT-CAR))
 (165 55 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (146 146 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (126 2 (:REWRITE FREE-INDEX-LISTP-OF-UPDATE-NTH))
 (110 110 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (105 21 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (93 1 (:REWRITE NTH-UPDATE-NTH))
 (89 89 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (84 84 (:REWRITE SUBSETP-MEMBER . 4))
 (84 84 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (84 84 (:REWRITE INTERSECTP-MEMBER . 3))
 (84 84 (:REWRITE INTERSECTP-MEMBER . 2))
 (84 84 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (82 82 (:REWRITE SUBSETP-MEMBER . 2))
 (82 82 (:REWRITE SUBSETP-MEMBER . 1))
 (82 82 (:REWRITE MEMBER-WHEN-ATOM))
 (80 80 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (80 80 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (55 55 (:LINEAR POSITION-WHEN-MEMBER))
 (55 55 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (44 44 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (32 32 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-4))
 (31 31 (:TYPE-PRESCRIPTION ZP))
 (24 12 (:REWRITE DEFAULT-UNARY-MINUS))
 (22 22 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (13 13 (:REWRITE FOLD-CONSTS-IN-+))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3 3 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 )
(NON-FREE-INDEX-LIST-LISTP)
(NON-FREE-INDEX-LIST-LISTP-OF-APPEND
 (84 29 (:REWRITE DEFAULT-CDR))
 (58 29 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (55 46 (:REWRITE DEFAULT-CAR))
 (29 29 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (29 29 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (21 7 (:REWRITE CAR-OF-APPEND))
 (14 14 (:REWRITE CONSP-OF-APPEND))
 (7 7 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(NON-FREE-INDEX-LISTP-OF-D-E-CC
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 )
(NON-FREE-INDEX-LIST-LISTP-OF-LOFAT-TO-HIFAT-HELPER
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 )
(NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1-LEMMA-1
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 (66 55 (:REWRITE DEFAULT-<-2))
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 )
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(NON-FREE-INDEX-LIST-LISTP-OF-UPDATE-NTH
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(NON-FREE-INDEX-LIST-LISTP-OF-SET-DIFFERENCE-1
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 )
(LEMMA-1
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 )
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 )
(NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE
 (90 3 (:DEFINITION NOT-INTERSECTP-LIST))
 (39 5 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (15 3 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (9 9 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (8 8 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE DEFAULT-CAR))
 (6 6 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (6 6 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (6 6 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (6 6 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (6 6 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (6 6 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (6 6 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (6 6 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (3 3 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (3 3 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3 3 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 1))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (3 3 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (3 1 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 )
(NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-2
 (290 13 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (219 13 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (159 13 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (130 26 (:DEFINITION LEN))
 (77 77 (:REWRITE DEFAULT-CAR))
 (73 13 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (58 6 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (52 52 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (52 39 (:REWRITE DEFAULT-<-2))
 (52 26 (:REWRITE DEFAULT-+-2))
 (50 50 (:REWRITE DEFAULT-CDR))
 (47 6 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (39 39 (:REWRITE DEFAULT-<-1))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (36 4 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (31 6 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (26 26 (:REWRITE DEFAULT-+-1))
 (26 26 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 5 (:DEFINITION BINARY-APPEND))
 (13 13 (:TYPE-PRESCRIPTION NFIX))
 (13 13 (:REWRITE NFIX-WHEN-ZP))
 (13 13 (:REWRITE NFIX-WHEN-NATP))
 (13 13 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (13 13 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (13 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (13 13 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (13 13 (:LINEAR POSITION-WHEN-MEMBER))
 (13 13 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (12 4 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (10 10 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (10 10 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (10 5 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (10 2 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (8 8 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 8 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (5 5 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (5 5 (:REWRITE SET::IN-SET))
 (4 4 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 )
(NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER
 (200 8 (:REWRITE NFIX-WHEN-ZP))
 (176 8 (:REWRITE ZP-OPEN))
 (156 8 (:REWRITE NFIX-WHEN-NATP))
 (104 8 (:DEFINITION NATP))
 (72 24 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (68 12 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (64 64 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (52 36 (:REWRITE DEFAULT-<-2))
 (44 36 (:REWRITE DEFAULT-<-1))
 (44 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (28 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (24 8 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (24 8 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION NAT-LISTP))
 (12 8 (:REWRITE DEFAULT-+-2))
 (12 8 (:REWRITE DEFAULT-+-1))
 (9 9 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (5 5 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 1 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (2 2 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (1 1 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 )
(NON-FREE-INDEX-LIST-LISTP-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS
 (510 16 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (464 5 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (222 35 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (222 10 (:REWRITE NFIX-WHEN-ZP))
 (192 8 (:REWRITE ZP-OPEN))
 (182 14 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (169 169 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (151 10 (:REWRITE NFIX-WHEN-NATP))
 (146 13 (:DEFINITION MEMBER-EQUAL))
 (125 10 (:DEFINITION NATP))
 (105 7 (:REWRITE SUBSETP-OF-CONS))
 (72 45 (:REWRITE DEFAULT-+-2))
 (72 18 (:REWRITE COMMUTATIVITY-OF-+))
 (63 45 (:REWRITE DEFAULT-+-1))
 (36 36 (:REWRITE DEFAULT-CAR))
 (36 23 (:REWRITE DEFAULT-<-2))
 (30 30 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (30 30 (:TYPE-PRESCRIPTION FAT-ENTRY-COUNT))
 (30 30 (:REWRITE SUBSETP-MEMBER . 2))
 (30 30 (:REWRITE SUBSETP-MEMBER . 1))
 (28 28 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (28 7 (:REWRITE SUBSETP-CONS-2))
 (23 23 (:REWRITE DEFAULT-<-1))
 (21 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (19 19 (:REWRITE DEFAULT-CDR))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (15 5 (:DEFINITION NFIX))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (14 14 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION ZP))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE MEMBER-WHEN-ATOM))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (9 9 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (9 9 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (9 9 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (9 9 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (9 9 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (9 9 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (9 9 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (7 7 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (7 7 (:REWRITE SUBSETP-NIL))
 (7 7 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 1))
 (5 1 (:REWRITE FATI-OF-PLACE-CONTENTS-DISJOINT))
 (1 1 (:REWRITE COUNT-OF-CLUSTERS-OF-PLACE-CONTENTS))
 )
(FREE-INDEX-LIST-LISTP)
(FREE-INDEX-LIST-LISTP-CORRECTNESS-1
 (486 6 (:DEFINITION FREE-INDEX-LISTP))
 (456 6 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (150 6 (:REWRITE NFIX-WHEN-NATP))
 (138 6 (:REWRITE NFIX-WHEN-ZP))
 (126 6 (:REWRITE ZP-OPEN))
 (102 18 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (66 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (42 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (36 36 (:TYPE-PRESCRIPTION LEN))
 (36 30 (:REWRITE DEFAULT-<-2))
 (36 12 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (36 6 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (36 6 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (30 30 (:REWRITE DEFAULT-<-1))
 (30 6 (:DEFINITION LEN))
 (26 26 (:REWRITE DEFAULT-CAR))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 6 (:DEFINITION NFIX))
 (24 6 (:DEFINITION NATP))
 (21 21 (:REWRITE DEFAULT-CDR))
 (20 5 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12 12 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12 6 (:REWRITE DEFAULT-+-2))
 (7 7 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (7 7 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (7 7 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION NFIX))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE DEFAULT-+-1))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER))
 (6 6 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (5 5 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (5 5 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (5 5 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (5 5 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (5 5 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (5 5 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (5 5 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 )
(FREE-INDEX-LIST-LISTP-OF-APPEND
 (2120 29 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (667 29 (:REWRITE NFIX-WHEN-ZP))
 (641 29 (:REWRITE NFIX-WHEN-NATP))
 (609 29 (:REWRITE ZP-OPEN))
 (493 87 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (319 29 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (203 29 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (174 174 (:TYPE-PRESCRIPTION LEN))
 (174 145 (:REWRITE DEFAULT-<-2))
 (174 58 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (145 145 (:REWRITE DEFAULT-<-1))
 (145 29 (:DEFINITION LEN))
 (142 87 (:REWRITE DEFAULT-CDR))
 (132 22 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (132 22 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (116 116 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (116 29 (:DEFINITION NFIX))
 (116 29 (:DEFINITION NATP))
 (87 29 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (87 29 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (84 75 (:REWRITE DEFAULT-CAR))
 (58 58 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (58 58 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (58 58 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (58 58 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (58 29 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (58 29 (:REWRITE DEFAULT-+-2))
 (44 44 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (44 44 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (29 29 (:TYPE-PRESCRIPTION ZP))
 (29 29 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (29 29 (:TYPE-PRESCRIPTION NFIX))
 (29 29 (:TYPE-PRESCRIPTION NATP))
 (29 29 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (29 29 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (29 29 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (29 29 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (29 29 (:REWRITE DEFAULT-+-1))
 (29 29 (:LINEAR POSITION-WHEN-MEMBER))
 (29 29 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (22 22 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (21 7 (:REWRITE CAR-OF-APPEND))
 (14 14 (:REWRITE CONSP-OF-APPEND))
 (7 7 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(FREE-INDEX-LIST-LISTP-OF-UPDATE-NTH-LEMMA-1
 (1587 25 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (567 39 (:REWRITE NFIX-WHEN-ZP))
 (504 24 (:REWRITE ZP-OPEN))
 (413 77 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (309 7 (:REWRITE FREE-INDEX-LISTP-OF-UPDATE-NTH))
 (308 7 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (264 24 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (170 136 (:REWRITE DEFAULT-<-2))
 (168 24 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (144 48 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (141 136 (:REWRITE DEFAULT-<-1))
 (120 24 (:DEFINITION LEN))
 (96 24 (:DEFINITION NATP))
 (85 5 (:REWRITE LEN-UPDATE-NTH))
 (76 76 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (58 34 (:REWRITE DEFAULT-+-2))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (48 48 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (48 48 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (48 48 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (39 39 (:REWRITE DEFAULT-CDR))
 (38 38 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (35 5 (:DEFINITION MAX))
 (34 34 (:REWRITE DEFAULT-+-1))
 (30 30 (:REWRITE DEFAULT-CAR))
 (25 5 (:DEFINITION UPDATE-NTH))
 (24 24 (:TYPE-PRESCRIPTION ZP))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (24 24 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER))
 (19 19 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1 1 (:TYPE-PRESCRIPTION LOWER-BOUNDED-INTEGER-LISTP))
 (1 1 (:DEFINITION LOWER-BOUNDED-INTEGER-LISTP))
 )
(FREE-INDEX-LIST-LISTP-OF-UPDATE-NTH
 (508 8 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (152 8 (:REWRITE NFIX-WHEN-NATP))
 (140 8 (:REWRITE NFIX-WHEN-ZP))
 (126 6 (:REWRITE ZP-OPEN))
 (102 18 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (80 8 (:DEFINITION MEMBER-EQUAL))
 (70 8 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (66 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (60 4 (:REWRITE SUBSETP-OF-CONS))
 (48 48 (:TYPE-PRESCRIPTION LEN))
 (45 37 (:REWRITE DEFAULT-<-2))
 (42 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (40 8 (:DEFINITION LEN))
 (37 37 (:REWRITE DEFAULT-<-1))
 (36 12 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (36 6 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (36 6 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (28 28 (:REWRITE DEFAULT-CAR))
 (26 26 (:REWRITE DEFAULT-CDR))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (24 6 (:DEFINITION NFIX))
 (24 6 (:DEFINITION NATP))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 8 (:REWRITE DEFAULT-+-2))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE MEMBER-WHEN-ATOM))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (8 8 (:REWRITE DEFAULT-+-1))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (4 4 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (4 4 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (4 4 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (4 4 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (4 4 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (4 4 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 )
(INDUCTION-SCHEME
 (56 2 (:REWRITE NFIX-WHEN-ZP))
 (49 3 (:REWRITE ZP-OPEN))
 (49 2 (:REWRITE NFIX-WHEN-NATP))
 (41 2 (:DEFINITION NATP))
 (17 11 (:REWRITE DEFAULT-+-2))
 (17 10 (:REWRITE DEFAULT-<-2))
 (17 10 (:REWRITE DEFAULT-<-1))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (15 3 (:DEFINITION LEN))
 (14 11 (:REWRITE DEFAULT-+-1))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS-HELPER
 (720 131 (:REWRITE DEFAULT-CDR))
 (671 16 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (582 24 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (394 30 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (358 56 (:REWRITE NFIX-WHEN-ZP))
 (305 61 (:DEFINITION LEN))
 (250 64 (:REWRITE ZP-OPEN))
 (226 165 (:REWRITE DEFAULT-+-2))
 (207 14 (:REWRITE DEFAULT-CAR))
 (196 98 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (165 165 (:REWRITE DEFAULT-+-1))
 (164 164 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (156 26 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (150 150 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (149 21 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (141 98 (:REWRITE DEFAULT-<-2))
 (130 26 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (98 98 (:REWRITE DEFAULT-<-1))
 (97 7 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (96 32 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (96 32 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (64 64 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (59 7 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (54 18 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (52 52 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (52 52 (:TYPE-PRESCRIPTION D-E-P))
 (52 52 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (52 26 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (52 14 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (32 32 (:LINEAR POSITION-WHEN-MEMBER))
 (32 32 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (28 7 (:DEFINITION NFIX))
 (26 26 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (26 26 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (26 26 (:REWRITE SET::IN-SET))
 (14 14 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (14 14 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7 7 (:TYPE-PRESCRIPTION NATP))
 (7 7 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (7 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (7 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 )
(FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS
 (30 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (17 1 (:DEFINITION NTHCDR))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS)
(LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1
 (224 4 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (196 4 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (106 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (106 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (92 4 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (56 56 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (42 14 (:REWRITE ZP-OPEN))
 (24 24 (:TYPE-PRESCRIPTION LEN))
 (22 14 (:REWRITE DEFAULT-<-2))
 (20 4 (:DEFINITION LEN))
 (18 14 (:REWRITE DEFAULT-<-1))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-5))
 (9 3 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 4 (:REWRITE DEFAULT-+-2))
 (6 2 (:DEFINITION NATP))
 (4 4 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 )
(LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2
 (137966 59 (:DEFINITION LOFAT-TO-HIFAT-HELPER))
 (85300 200 (:REWRITE NOT-INTERSECTP-LIST-OF-APPEND-1))
 (82598 611 (:DEFINITION NOT-INTERSECTP-LIST))
 (45026 611 (:DEFINITION INTERSECTP-EQUAL))
 (38221 235 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (37533 252 (:DEFINITION FREE-INDEX-LISTP))
 (33814 235 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (31832 118 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (19320 731 (:DEFINITION MEMBER-EQUAL))
 (14093 677 (:REWRITE ZP-OPEN))
 (10498 10498 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (10168 1224 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (8931 569 (:DEFINITION NATP))
 (7576 947 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (7112 1422 (:REWRITE SUBSETP-CAR-MEMBER))
 (6246 18 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (6138 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (5293 1993 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (5148 1716 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (5044 4144 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4812 4154 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4737 4737 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (4616 4616 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (4518 804 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4410 3108 (:REWRITE DEFAULT-<-2))
 (4174 1987 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (4040 3108 (:REWRITE DEFAULT-<-1))
 (3996 63 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (3942 118 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3884 3884 (:REWRITE DEFAULT-CDR))
 (3716 3716 (:REWRITE DEFAULT-CAR))
 (3706 654 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (3547 44 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (3176 32 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (3068 118 (:DEFINITION FIND-D-E))
 (2596 118 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-APPEND))
 (2494 2494 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (2398 218 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2077 2077 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2030 308 (:REWRITE SUBSETP-CONS-2))
 (2006 118 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (2006 118 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1993 1993 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (1993 1993 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (1993 1993 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (1918 1344 (:REWRITE DEFAULT-+-2))
 (1825 1344 (:REWRITE DEFAULT-+-1))
 (1802 1802 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (1776 592 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (1679 419 (:REWRITE COMMUTATIVITY-OF-+))
 (1597 1597 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (1526 218 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1484 1484 (:REWRITE SUBSETP-MEMBER . 2))
 (1484 1484 (:REWRITE SUBSETP-MEMBER . 1))
 (1440 1440 (:REWRITE SUBSETP-MEMBER . 4))
 (1440 1440 (:REWRITE SUBSETP-MEMBER . 3))
 (1440 1440 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1440 1440 (:REWRITE INTERSECTP-MEMBER . 3))
 (1440 1440 (:REWRITE INTERSECTP-MEMBER . 2))
 (1440 1440 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1438 1438 (:REWRITE MEMBER-WHEN-ATOM))
 (1416 118 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1308 436 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1224 1224 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (1215 1215 (:REWRITE INTERSECT-WITH-SUBSET . 12))
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 (1215 1215 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1215 1215 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1215 1215 (:REWRITE INTERSECT-WITH-SUBSET . 8))
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 (1215 1215 (:REWRITE INTERSECT-WITH-SUBSET . 6))
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 (1215 1215 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (1213 1213 (:REWRITE INTERSECTP-MEMBER . 1))
 (1141 1141 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (900 300 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (880 880 (:TYPE-PRESCRIPTION NAT-LISTP))
 (764 764 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (708 708 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (708 177 (:DEFINITION BINARY-APPEND))
 (708 118 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (708 118 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (708 118 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (656 656 (:TYPE-PRESCRIPTION ZP))
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 (583 18 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (531 177 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (484 8 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (472 472 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (472 472 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (472 59 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (454 454 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (436 436 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (436 436 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (436 436 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (436 436 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (413 413 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (354 354 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (354 177 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (354 59 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (354 59 (:REWRITE COMMUTATIVITY-2-OF-+))
 (340 340 (:TYPE-PRESCRIPTION D-E-P))
 (340 340 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (236 236 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (236 236 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (236 236 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (236 236 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (236 236 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (236 236 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (236 236 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (236 236 (:REWRITE FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (236 236 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (236 236 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (236 236 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (236 59 (:REWRITE DISTRIBUTIVITY-OF-MINUS-OVER-+))
 (218 218 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (218 218 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (218 218 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (190 100 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (177 177 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (177 177 (:REWRITE FOLD-CONSTS-IN-+))
 (177 59 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (176 2 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (160 32 (:LINEAR NTH-WHEN-D-E-P))
 (118 118 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (118 118 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (118 118 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 3))
 (118 118 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (118 118 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (118 118 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (118 118 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (118 118 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (118 118 (:REWRITE DEFAULT-UNARY-MINUS))
 (118 118 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (118 118 (:REWRITE D-E-FILENAME-OF-D-E-FIX))
 (118 59 (:REWRITE APPEND-OF-CONS))
 (66 18 (:REWRITE NTH-WHEN-D-E-P . 3))
 (59 59 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (54 54 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (50 18 (:REWRITE NTH-WHEN-D-E-P . 2))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (26 2 (:REWRITE MEMBER-OF-CONS))
 (18 18 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (17 17 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (8 8 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE CDR-CONS))
 (8 8 (:REWRITE CAR-CONS))
 (4 4 (:DEFINITION ATOM))
 )
(LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT
 (590659 2429 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (232832 29104 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (192318 10122 (:LINEAR NTH-WHEN-D-E-P))
 (158772 196 (:REWRITE FATI-OF-UPDATE-FATI))
 (145520 14552 (:DEFINITION MEMBER-EQUAL))
 (108080 5521 (:REWRITE NFIX-WHEN-ZP))
 (99359 41256 (:REWRITE DEFAULT-<-1))
 (97439 10521 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (86835 3890 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (83031 10789 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (73915 5849 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (72760 72760 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (61206 2914 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (58974 41256 (:REWRITE DEFAULT-<-2))
 (58584 4904 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (50156 50156 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (48786 4507 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (47515 3991 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (47010 3198 (:REWRITE NTH-WHEN-D-E-P . 2))
 (40750 2411 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (38339 2411 (:REWRITE NTH-WHEN-D-E-P . 3))
 (36922 196 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (32184 1908 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (31474 4900 (:DEFINITION BINARY-APPEND))
 (29424 4904 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (29104 29104 (:REWRITE SUBSETP-MEMBER . 2))
 (29104 29104 (:REWRITE SUBSETP-MEMBER . 1))
 (27887 25720 (:REWRITE DEFAULT-CAR))
 (27498 27498 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (26862 16318 (:REWRITE DEFAULT-+-2))
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 (22092 16318 (:REWRITE DEFAULT-+-1))
 (20304 3384 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (18898 7642 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (17716 9800 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (14347 14347 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (13808 13808 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (13749 13749 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (12150 954 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (11805 11805 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (9808 9808 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (7753 7753 (:TYPE-PRESCRIPTION M1-FILE-P))
 (7753 5845 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6678 954 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (4904 4904 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3328 1664 (:REWRITE COUNT-OF-CLUSTERS-OF-UPDATE-FATI))
 (1908 1908 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (954 954 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (597 597 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (508 508 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (498 166 (:DEFINITION NFIX))
 (224 224 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (212 212 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (168 56 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (168 56 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (166 166 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (150 50 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (112 112 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (100 100 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (100 100 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (73 73 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (73 73 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (73 73 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (73 73 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (73 73 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (73 73 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (73 73 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (56 56 (:LINEAR POSITION-WHEN-MEMBER))
 (56 56 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (50 50 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 )
(FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE-LEMMA-1)
(FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE
 (1053 20 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (476 31 (:REWRITE NFIX-WHEN-ZP))
 (420 25 (:REWRITE ZP-OPEN))
 (324 32 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (268 4 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (247 31 (:REWRITE NFIX-WHEN-NATP))
 (221 146 (:REWRITE DEFAULT-<-1))
 (207 55 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (181 23 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (158 146 (:REWRITE DEFAULT-<-2))
 (137 71 (:REWRITE DEFAULT-+-2))
 (106 106 (:REWRITE DEFAULT-CDR))
 (100 5 (:REWRITE LEN-UPDATE-NTH))
 (96 96 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (92 23 (:DEFINITION NFIX))
 (84 4 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-2))
 (75 15 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (71 71 (:REWRITE DEFAULT-+-1))
 (69 69 (:REWRITE DEFAULT-CAR))
 (69 23 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (69 23 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (69 1 (:REWRITE NTH-UPDATE-NTH))
 (60 4 (:DEFINITION MEMBER-EQUAL))
 (56 4 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (50 50 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (50 50 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (48 4 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (47 47 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (47 47 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (47 47 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (46 46 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (25 25 (:TYPE-PRESCRIPTION ZP))
 (24 24 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (23 23 (:LINEAR POSITION-WHEN-MEMBER))
 (23 23 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION NATP))
 (15 5 (:DEFINITION MAX))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE MEMBER-WHEN-ATOM))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (6 3 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (6 2 (:REWRITE FREE-INDEX-LIST-LISTP-OF-UPDATE-NTH-LEMMA-1))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3 3 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 )
(FREE-INDEX-LISTP-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS
 (360 22 (:REWRITE ZP-OPEN))
 (341 3 (:DEFINITION FREE-INDEX-LISTP))
 (326 20 (:REWRITE NFIX-WHEN-ZP))
 (326 3 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (314 8 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (272 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (223 124 (:REWRITE DEFAULT-+-2))
 (154 124 (:REWRITE DEFAULT-+-1))
 (104 71 (:REWRITE DEFAULT-<-2))
 (86 71 (:REWRITE DEFAULT-<-1))
 (84 2 (:DEFINITION STOBJ-SET-CLUSTERS))
 (84 2 (:DEFINITION BINARY-APPEND))
 (76 38 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (51 9 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (46 32 (:REWRITE DEFAULT-CDR))
 (40 4 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (38 38 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (35 18 (:REWRITE DEFAULT-CAR))
 (33 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (21 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (18 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (14 14 (:TYPE-PRESCRIPTION ZP))
 (12 12 (:TYPE-PRESCRIPTION NAT-LISTP))
 (10 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 2 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER))
 (5 5 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (5 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 2 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (3 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 1 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 )
(FREE-INDEX-LISTP-OF-EFFECTIVE-FAT-OF-HIFAT-TO-LOFAT-HELPER
 (96966 510 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (27155 1252 (:REWRITE NFIX-WHEN-ZP))
 (25501 41 (:REWRITE FATI-OF-UPDATE-FATI))
 (21248 2205 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (19617 2233 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (18660 294 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (18103 1269 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (16815 754 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (15823 9447 (:REWRITE DEFAULT-<-1))
 (15456 966 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (14226 562 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (13888 2744 (:REWRITE DEFAULT-CDR))
 (13210 9447 (:REWRITE DEFAULT-<-2))
 (13158 1017 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (11234 43 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (11071 787 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10430 2086 (:LINEAR NTH-WHEN-D-E-P))
 (9712 9712 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (9072 504 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (8316 1386 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (7268 4457 (:REWRITE DEFAULT-+-2))
 (7242 7242 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6136 955 (:DEFINITION BINARY-APPEND))
 (6103 4457 (:REWRITE DEFAULT-+-1))
 (5916 5916 (:TYPE-PRESCRIPTION D-E-P))
 (5916 5916 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (5796 966 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5289 3 (:REWRITE FREE-INDEX-LIST-LISTP-OF-UPDATE-NTH-LEMMA-1))
 (5285 383 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5007 3 (:DEFINITION MEMBER-EQUAL))
 (3780 252 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3650 1478 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (3621 3621 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3454 1910 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (3337 3337 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (2702 2702 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (2696 2696 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2689 2303 (:REWRITE DEFAULT-CAR))
 (2617 512 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2542 654 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2105 505 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1932 1932 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1773 1773 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1773 1269 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1764 252 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (1573 219 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1063 97 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (966 966 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (547 159 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (504 504 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (438 62 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (353 353 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (252 252 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (222 6 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (159 159 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (159 159 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (159 159 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (97 97 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (97 97 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (97 97 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (60 60 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (56 56 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (45 15 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (45 15 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (40 2 (:REWRITE FATI-OF-PLACE-CONTENTS-DISJOINT))
 (30 30 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (18 6 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (15 15 (:LINEAR POSITION-WHEN-MEMBER))
 (15 15 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (12 12 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (7 2 (:REWRITE COUNT-OF-CLUSTERS-OF-PLACE-CONTENTS))
 (6 6 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (6 6 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE MEMBER-WHEN-ATOM))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 )
(NTH-OF-FREE-INDEX-LIST
 (2677 48 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1230 70 (:REWRITE ZP-OPEN))
 (933 48 (:REWRITE NFIX-WHEN-ZP))
 (438 34 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (402 78 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (384 48 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (373 46 (:REWRITE NFIX-WHEN-NATP))
 (348 20 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (274 274 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (259 207 (:REWRITE DEFAULT-<-2))
 (224 20 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (221 20 (:DEFINITION NATP))
 (210 207 (:REWRITE DEFAULT-<-1))
 (200 40 (:LINEAR NTH-WHEN-D-E-P))
 (168 56 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (168 56 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (141 82 (:REWRITE DEFAULT-+-2))
 (132 12 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (112 112 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (100 100 (:TYPE-PRESCRIPTION D-E-P))
 (100 100 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (84 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (82 82 (:REWRITE DEFAULT-+-1))
 (78 78 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (78 78 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (78 78 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (78 78 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (78 78 (:REWRITE DEFAULT-CDR))
 (78 78 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (75 25 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (60 20 (:REWRITE NTH-WHEN-D-E-P . 2))
 (60 12 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (56 56 (:LINEAR POSITION-WHEN-MEMBER))
 (56 56 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (36 36 (:REWRITE DEFAULT-CAR))
 (34 34 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FREE-INDEX-LIST-LISTP-OF-EFFECTIVE-FAT-OF-HIFAT-TO-LOFAT-HELPER
 (2086 3 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (948 38 (:REWRITE ZP-OPEN))
 (796 20 (:REWRITE NFIX-WHEN-ZP))
 (762 8 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (452 14 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (344 4 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (294 6 (:REWRITE LENGTH-WHEN-STRINGP))
 (270 12 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (222 142 (:REWRITE DEFAULT-<-1))
 (210 142 (:REWRITE DEFAULT-<-2))
 (208 128 (:REWRITE DEFAULT-+-2))
 (207 6 (:DEFINITION LEN))
 (176 128 (:REWRITE DEFAULT-+-1))
 (171 27 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (168 24 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (166 26 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (164 50 (:REWRITE DEFAULT-CDR))
 (159 12 (:REWRITE STR::CONSP-OF-EXPLODE))
 (156 156 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (144 24 (:DEFINITION MIN))
 (136 16 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (135 9 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (132 12 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (124 124 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (110 10 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (108 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (96 15 (:DEFINITION BINARY-APPEND))
 (90 15 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (90 15 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (80 16 (:LINEAR NTH-WHEN-D-E-P))
 (78 78 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (72 12 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (72 6 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (60 24 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (60 8 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (60 8 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (58 18 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (57 6 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (56 56 (:TYPE-PRESCRIPTION D-E-P))
 (56 56 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (56 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (55 49 (:REWRITE DEFAULT-CAR))
 (54 54 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (54 30 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (51 6 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (48 12 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (44 44 (:TYPE-PRESCRIPTION LEN))
 (44 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (42 42 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (36 36 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (34 10 (:REWRITE NTH-WHEN-D-E-P . 3))
 (32 32 (:TYPE-PRESCRIPTION ZP))
 (32 4 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (30 30 (:TYPE-PRESCRIPTION NFIX))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (30 6 (:REWRITE NTH-WHEN-D-E-P . 2))
 (27 27 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24 6 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (22 2 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (21 21 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (20 20 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (18 18 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (18 18 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (18 18 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16 16 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 12 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12 6 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (12 2 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (12 2 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (10 10 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (6 6 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (6 6 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (6 6 (:REWRITE COUNT-OF-CLUSTERS-OF-HIFAT-TO-LOFAT-HELPER))
 (4 4 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (3 3 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(ROOT-D-E-LIST-OF-PLACE-CONTENTS-COINCIDENT-LEMMA-1
 (10 5 (:REWRITE DEFAULT-+-2))
 (5 5 (:REWRITE DEFAULT-+-1))
 (4 2 (:REWRITE DEFAULT-<-2))
 (3 2 (:REWRITE DEFAULT-<-1))
 )
(ROOT-D-E-LIST-OF-PLACE-CONTENTS-COINCIDENT
 (3513 7 (:REWRITE MAKE-D-E-LIST-OF-APPEND-2))
 (2555 12 (:REWRITE LEN-OF-MAKE-LIST-AC))
 (1830 14 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1688 13 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (1498 41 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (1300 6 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1182 18 (:REWRITE NFIX-WHEN-ZP))
 (1134 18 (:REWRITE NFIX-WHEN-NATP))
 (1057 11 (:DEFINITION NATP))
 (1032 7 (:DEFINITION BINARY-APPEND))
 (889 41 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (641 190 (:REWRITE DEFAULT-CDR))
 (598 6 (:REWRITE CHARACTER-LISTP-OF-MAKE-LIST-AC))
 (581 7 (:REWRITE MAKE-D-E-LIST-OF-APPEND-1))
 (550 6 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (483 215 (:REWRITE DEFAULT-<-2))
 (454 245 (:REWRITE DEFAULT-+-2))
 (307 145 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (288 245 (:REWRITE DEFAULT-+-1))
 (285 215 (:REWRITE DEFAULT-<-1))
 (197 7 (:DEFINITION MAKE-LIST-AC))
 (195 15 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (189 15 (:DEFINITION NFIX))
 (164 164 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (162 162 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (160 3 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT))
 (157 41 (:DEFINITION UNSIGNED-BYTE-P))
 (135 135 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (124 62 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (123 41 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (123 41 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (116 41 (:DEFINITION INTEGER-RANGE-P))
 (102 26 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (94 5 (:REWRITE GET-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT))
 (93 6 (:REWRITE NTH-OF-MAKE-LIST-AC))
 (82 82 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (74 2 (:DEFINITION MEMBER-EQUAL))
 (70 35 (:REWRITE DEFAULT-*-2))
 (70 35 (:REWRITE DEFAULT-*-1))
 (62 62 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (60 15 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (59 14 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (50 19 (:REWRITE DEFAULT-CAR))
 (48 12 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (41 41 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (41 41 (:LINEAR POSITION-WHEN-MEMBER))
 (41 41 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (36 36 (:TYPE-PRESCRIPTION MOD))
 (29 10 (:REWRITE UNICITY-OF-0))
 (26 26 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (26 26 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (21 9 (:REWRITE FOLD-CONSTS-IN-+))
 (19 10 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (18 4 (:REWRITE MEMBER-WHEN-ATOM))
 (18 4 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (17 17 (:TYPE-PRESCRIPTION NFIX))
 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 8 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (15 15 (:TYPE-PRESCRIPTION FAT32$C-P))
 (15 15 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (12 12 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (11 11 (:TYPE-PRESCRIPTION NATP))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (9 3 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-2))
 (8 7 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 6 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (6 6 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (6 2 (:REWRITE D-E-P-OF-D-E-INSTALL-DIRECTORY-BIT . 1))
 (6 2 (:REWRITE D-E-FILE-SIZE-OF-D-E-INSTALL-DIRECTORY-BIT))
 (5 5 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (4 2 (:REWRITE D-E-FILE-SIZE-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (4 2 (:REWRITE D-E-CC-UNDER-IFF . 1))
 (2 2 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (2 2 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (2 2 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-1
 (115 5 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (108 4 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (101 6 (:REWRITE SUBSETP-OF-CONS))
 (70 31 (:REWRITE DEFAULT-CDR))
 (68 6 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (64 8 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (63 63 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (55 30 (:REWRITE DEFAULT-<-2))
 (48 21 (:REWRITE DEFAULT-+-2))
 (42 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (36 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (35 30 (:REWRITE DEFAULT-<-1))
 (32 11 (:REWRITE DEFAULT-CAR))
 (31 3 (:DEFINITION MEMBER-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (21 21 (:REWRITE DEFAULT-+-1))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (20 2 (:REWRITE MEMBER-EQUAL-NTH))
 (19 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (18 18 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (18 2 (:REWRITE SUBSETP-APPEND1))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 14 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13 1 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (12 12 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (9 3 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-5))
 (9 3 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (8 8 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 1))
 (5 1 (:REWRITE SUBSETP-CONS-2))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-2
 (17 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (13 4 (:REWRITE DEFAULT-CDR))
 (11 2 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8 4 (:REWRITE DEFAULT-+-2))
 (8 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 1 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1 1 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-3
 (6732 2244 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3488 56 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2019 150 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1368 113 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1307 87 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1195 42 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (815 56 (:DEFINITION MEMBER-EQUAL))
 (736 69 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (682 682 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (635 121 (:REWRITE SUBSETP-CAR-MEMBER))
 (608 131 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (569 87 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (495 64 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (470 80 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (396 396 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (391 259 (:REWRITE DEFAULT-CDR))
 (364 79 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (361 42 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (341 341 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (327 73 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (309 103 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (291 61 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (276 276 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (221 221 (:TYPE-PRESCRIPTION M1-FILE-P))
 (171 42 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (135 45 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (129 129 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (129 129 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (118 118 (:REWRITE SUBSETP-MEMBER . 2))
 (114 114 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (110 22 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (88 22 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (77 11 (:DEFINITION ALISTP))
 (65 65 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (65 65 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (57 57 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (52 52 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (44 44 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (35 35 (:REWRITE SUBSETP-MEMBER . 4))
 (35 35 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (35 35 (:REWRITE INTERSECTP-MEMBER . 3))
 (35 35 (:REWRITE INTERSECTP-MEMBER . 2))
 (35 35 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (30 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (26 26 (:REWRITE MEMBER-WHEN-ATOM))
 (22 22 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (3 1 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-4
 (193 67 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (184 23 (:DEFINITION ASSOC-EQUAL))
 (126 126 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (110 20 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (100 25 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (93 18 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (81 9 (:DEFINITION ALISTP))
 (78 78 (:REWRITE DEFAULT-CAR))
 (41 17 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (36 36 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (34 34 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (32 32 (:REWRITE DEFAULT-CDR))
 (29 15 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (25 25 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (23 23 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-5
 (8008 4 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (6090 53 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (3816 8 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (1923 115 (:REWRITE NFIX-WHEN-ZP))
 (1910 86 (:REWRITE ZP-OPEN))
 (1501 929 (:REWRITE DEFAULT-+-2))
 (1291 929 (:REWRITE DEFAULT-+-1))
 (517 290 (:REWRITE DEFAULT-<-2))
 (411 290 (:REWRITE DEFAULT-<-1))
 (392 8 (:REWRITE LENGTH-WHEN-STRINGP))
 (371 53 (:REWRITE FOLD-CONSTS-IN-+))
 (360 16 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (344 4 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (276 8 (:DEFINITION LEN))
 (228 36 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (212 16 (:REWRITE STR::CONSP-OF-EXPLODE))
 (208 208 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (204 52 (:REWRITE DEFAULT-CDR))
 (190 38 (:LINEAR NTH-WHEN-D-E-P))
 (180 12 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (176 16 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (159 53 (:REWRITE UNICITY-OF-0))
 (156 20 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (128 20 (:DEFINITION BINARY-APPEND))
 (120 20 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (120 20 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (110 110 (:TYPE-PRESCRIPTION D-E-P))
 (110 110 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (106 53 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (104 104 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (96 16 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (80 32 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (78 78 (:TYPE-PRESCRIPTION ZP))
 (76 8 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (72 72 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (72 72 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (72 40 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (68 8 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (66 17 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (64 64 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (64 16 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (56 56 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (52 44 (:REWRITE DEFAULT-CAR))
 (49 13 (:REWRITE NTH-WHEN-D-E-P . 3))
 (48 48 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (45 13 (:REWRITE NTH-WHEN-D-E-P . 2))
 (40 40 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (40 40 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (40 32 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (37 37 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (36 36 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (32 8 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (32 8 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (20 20 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (16 8 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (8 8 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-7
 (143540 204 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (28385 456 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (28320 408 (:REWRITE LENGTH-WHEN-STRINGP))
 (20866 2304 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20486 420 (:DEFINITION LEN))
 (19124 1284 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18340 816 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (17058 816 (:REWRITE STR::CONSP-OF-EXPLODE))
 (16530 1020 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (15426 612 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (14892 2924 (:REWRITE DEFAULT-CDR))
 (14004 1050 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (12150 1030 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11367 5824 (:REWRITE DEFAULT-<-1))
 (10603 1177 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (10596 10596 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (9648 1608 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (9126 468 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (8744 5824 (:REWRITE DEFAULT-<-2))
 (7836 7836 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6748 1042 (:DEFINITION BINARY-APPEND))
 (6290 1258 (:LINEAR NTH-WHEN-D-E-P))
 (6120 1020 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5958 408 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (5804 3 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (5751 296 (:REWRITE NFIX-WHEN-ZP))
 (5550 408 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5288 5288 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (5216 2 (:REWRITE FATI-OF-UPDATE-FATI))
 (5064 408 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (4176 4176 (:TYPE-PRESCRIPTION D-E-P))
 (4176 4176 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4064 1628 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (3978 234 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3918 3918 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3380 419 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (3286 832 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3284 3284 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3244 814 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (3046 2397 (:REWRITE DEFAULT-CAR))
 (3010 3010 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (2718 2 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (2702 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-4))
 (2454 822 (:REWRITE NTH-WHEN-D-E-P . 3))
 (2220 1284 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2127 439 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2117 17 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (2070 1642 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (2040 2040 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2036 2036 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1967 683 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1872 234 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (1813 1051 (:REWRITE DEFAULT-+-2))
 (1752 1752 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1390 1174 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (1363 2 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (1362 1 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (1345 1051 (:REWRITE DEFAULT-+-1))
 (1224 1224 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1172 17 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (1076 1076 (:TYPE-PRESCRIPTION ZP))
 (1020 1020 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (823 1 (:REWRITE LEN-UPDATE-NTH))
 (788 8 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (593 1 (:DEFINITION MAX))
 (592 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-5))
 (468 468 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (429 2 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (349 30 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (270 18 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (234 234 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (187 17 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (162 18 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (125 25 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (125 2 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (123 1 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (112 112 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (90 18 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (80 8 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (72 6 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 2))
 (66 22 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (56 56 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (52 52 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (38 38 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (37 1 (:REWRITE FREE-INDEX-LIST-LISTP-OF-UPDATE-NTH-LEMMA-1))
 (28 28 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (22 22 (:TYPE-PRESCRIPTION NATS=>STRING))
 (22 22 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (21 21 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER))
 (14 14 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (14 7 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 10 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (4 4 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (2 2 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (2 2 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (2 2 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-8
 (2904 6 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (1040 2 (:REWRITE SUBSETP-OF-CONS))
 (1026 2 (:DEFINITION MEMBER-EQUAL))
 (1010 2 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (588 12 (:REWRITE LENGTH-WHEN-STRINGP))
 (582 36 (:DEFINITION LEN))
 (540 24 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (432 36 (:REWRITE ZP-OPEN))
 (342 54 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (332 104 (:REWRITE DEFAULT-CDR))
 (325 16 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (318 24 (:REWRITE STR::CONSP-OF-EXPLODE))
 (312 312 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (270 18 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (264 24 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (234 30 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (193 104 (:REWRITE DEFAULT-<-1))
 (192 30 (:DEFINITION BINARY-APPEND))
 (182 104 (:REWRITE DEFAULT-<-2))
 (180 30 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (180 30 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (156 156 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (144 24 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (120 48 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (114 12 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (108 108 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (108 108 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (102 12 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (96 96 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (96 96 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (96 24 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (84 84 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (80 68 (:REWRITE DEFAULT-CAR))
 (72 72 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (72 36 (:REWRITE DEFAULT-+-2))
 (72 12 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (72 12 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (60 60 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (60 48 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (60 12 (:REWRITE NTH-WHEN-D-E-P . 3))
 (59 59 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (54 54 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 48 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (48 48 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (48 12 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (48 12 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (36 36 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (36 36 (:REWRITE DEFAULT-+-1))
 (36 12 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (36 12 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (36 12 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (35 5 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (30 5 (:DEFINITION MIN))
 (24 24 (:TYPE-PRESCRIPTION ZP))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION D-E-P))
 (24 24 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (24 24 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (24 24 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (18 18 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER))
 (12 12 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (6 6 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (5 5 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (5 5 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (5 5 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-9
 (48860 65 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (9680 150 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (9520 461 (:REWRITE ZP-OPEN))
 (9250 130 (:REWRITE LENGTH-WHEN-STRINGP))
 (9040 20 (:REWRITE FAT-LENGTH-OF-UPDATE-FATI))
 (8491 392 (:DEFINITION LEN))
 (6949 769 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6468 444 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5850 260 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (5605 260 (:REWRITE STR::CONSP-OF-EXPLODE))
 (5550 325 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (5096 1181 (:REWRITE DEFAULT-CDR))
 (5085 195 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4998 84 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (4922 66 (:REWRITE NFIX-WHEN-ZP))
 (4752 352 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (4383 269 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (3984 66 (:REWRITE NFIX-WHEN-NATP))
 (3981 327 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3974 3974 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (3846 45 (:DEFINITION NATP))
 (3595 184 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (3380 3380 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (3313 1737 (:REWRITE DEFAULT-<-2))
 (3205 1737 (:REWRITE DEFAULT-<-1))
 (2970 495 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2784 44 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (2532 2532 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2120 329 (:DEFINITION BINARY-APPEND))
 (1955 130 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (1950 325 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1922 1922 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1825 130 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1778 254 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (1690 1690 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (1564 92 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1524 254 (:DEFINITION MIN))
 (1447 507 (:REWRITE DEFAULT-+-2))
 (1306 194 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1300 520 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (1266 1266 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1260 63 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (1208 1208 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (1143 66 (:DEFINITION NFIX))
 (1044 1044 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1040 260 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (938 938 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (900 130 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (870 735 (:REWRITE DEFAULT-CAR))
 (860 172 (:REWRITE NTH-WHEN-D-E-P . 3))
 (840 840 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (812 444 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (751 751 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (743 92 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (730 1 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (721 2 (:REWRITE SUBSETP-OF-CONS))
 (716 2 (:REWRITE SUBSETP-CONS-2))
 (656 522 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (650 650 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (636 234 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (633 191 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (628 628 (:TYPE-PRESCRIPTION M1-FILE-P))
 (621 207 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (570 150 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (567 1 (:DEFINITION MEMBER-EQUAL))
 (559 1 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (554 554 (:TYPE-PRESCRIPTION D-E-P))
 (554 554 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (552 507 (:REWRITE DEFAULT-+-1))
 (549 1 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (547 1 (:DEFINITION FREE-INDEX-LISTP))
 (532 532 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (531 141 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (527 1 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (520 520 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (460 20 (:DEFINITION MAX))
 (420 84 (:LINEAR NTH-WHEN-D-E-P))
 (399 133 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (399 133 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (399 21 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (390 390 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (366 61 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (327 327 (:TYPE-PRESCRIPTION ZP))
 (325 325 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (266 266 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (264 2 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (232 205 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (207 69 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (184 184 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (180 45 (:REWRITE COMMUTATIVITY-OF-+))
 (176 176 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (162 2 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (147 63 (:REWRITE NTH-WHEN-D-E-P . 2))
 (138 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (135 1 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (133 133 (:LINEAR POSITION-WHEN-MEMBER))
 (133 133 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (108 108 (:TYPE-PRESCRIPTION NATP))
 (101 4 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (97 2 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 2))
 (92 92 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (63 63 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (63 21 (:REWRITE HIFAT-TO-LOFAT-HELPER-GUARD-LEMMA-3))
 (51 48 (:REWRITE COUNT-OF-CLUSTERS-OF-HIFAT-TO-LOFAT-HELPER))
 (35 35 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (21 21 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (12 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (11 11 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (8 8 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (6 3 (:REWRITE COUNT-OF-CLUSTERS-OF-UPDATE-FATI))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 1 (:REWRITE SUBSETP-CONS-SAME))
 (4 4 (:TYPE-PRESCRIPTION NATS=>STRING))
 (4 4 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (4 4 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (2 1 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (1 1 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (1 1 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE MEMBER-OF-CONS))
 (1 1 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (1 1 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (1 1 (:REWRITE CDR-CONS))
 (1 1 (:REWRITE CAR-CONS))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-10
 (897 53 (:REWRITE ZP-OPEN))
 (389 42 (:DEFINITION NATP))
 (323 57 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (253 23 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (248 207 (:REWRITE DEFAULT-<-2))
 (224 207 (:REWRITE DEFAULT-<-1))
 (199 55 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (198 66 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (166 166 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (160 98 (:REWRITE DEFAULT-+-2))
 (143 13 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (134 98 (:REWRITE DEFAULT-+-1))
 (133 19 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (130 26 (:LINEAR NTH-WHEN-D-E-P))
 (130 26 (:DEFINITION LEN))
 (110 110 (:TYPE-PRESCRIPTION NAT-LISTP))
 (72 72 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (71 71 (:TYPE-PRESCRIPTION ZP))
 (69 13 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (60 60 (:TYPE-PRESCRIPTION D-E-P))
 (60 60 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (55 55 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (55 55 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (55 55 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (51 17 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (46 46 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (45 45 (:REWRITE DEFAULT-CDR))
 (42 42 (:TYPE-PRESCRIPTION NATP))
 (36 36 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (36 36 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (29 13 (:REWRITE NTH-WHEN-D-E-P . 2))
 (23 23 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (19 19 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-11
 (3864 7 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (1083 57 (:REWRITE ZP-OPEN))
 (698 16 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (686 14 (:REWRITE LENGTH-WHEN-STRINGP))
 (630 28 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (622 19 (:REWRITE NFIX-WHEN-ZP))
 (483 14 (:DEFINITION LEN))
 (441 207 (:REWRITE DEFAULT-<-1))
 (399 63 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (371 28 (:REWRITE STR::CONSP-OF-EXPLODE))
 (369 94 (:REWRITE DEFAULT-CDR))
 (364 364 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (359 207 (:REWRITE DEFAULT-<-2))
 (315 21 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (308 28 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (288 36 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (273 35 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (224 35 (:DEFINITION BINARY-APPEND))
 (210 35 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (210 35 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (201 3 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (182 182 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (170 34 (:LINEAR NTH-WHEN-D-E-P))
 (168 28 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (147 91 (:REWRITE DEFAULT-CAR))
 (140 56 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (133 14 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (126 126 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (126 126 (:TYPE-PRESCRIPTION D-E-P))
 (126 126 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (126 126 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (126 70 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (124 15 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (119 14 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (114 29 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (112 112 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (112 28 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (109 66 (:REWRITE DEFAULT-+-2))
 (98 98 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (90 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (89 66 (:REWRITE DEFAULT-+-1))
 (85 29 (:REWRITE NTH-WHEN-D-E-P . 3))
 (84 84 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (76 16 (:REWRITE NTH-WHEN-D-E-P . 2))
 (70 70 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (70 70 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (70 56 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (63 63 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (58 5 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (56 14 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (56 14 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (55 55 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (54 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (43 43 (:TYPE-PRESCRIPTION ZP))
 (42 42 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (35 35 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (33 3 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (30 6 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-P))
 (28 28 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (28 14 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (25 5 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (21 21 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (17 17 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (14 14 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (9 3 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (6 6 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (6 6 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (6 6 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-12
 (153204 146 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (74402 353 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (33722 101 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (22583 14 (:REWRITE FATI-OF-UPDATE-FATI))
 (22502 1151 (:REWRITE NFIX-WHEN-ZP))
 (20452 292 (:REWRITE LENGTH-WHEN-STRINGP))
 (16107 14 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (15166 1674 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (14807 301 (:DEFINITION LEN))
 (13968 944 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (13130 584 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (12346 584 (:REWRITE STR::CONSP-OF-EXPLODE))
 (12064 6027 (:REWRITE DEFAULT-<-1))
 (12060 730 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (11178 438 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (11100 2173 (:REWRITE DEFAULT-CDR))
 (10513 6027 (:REWRITE DEFAULT-<-2))
 (10248 764 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (9925 1101 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (8784 736 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (7938 104 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (7586 7586 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (7020 360 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (6804 1134 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5650 1130 (:LINEAR NTH-WHEN-D-E-P))
 (5616 5616 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (5167 1 (:REWRITE FREE-INDEX-LIST-LISTP-OF-UPDATE-NTH-LEMMA-1))
 (4906 3063 (:REWRITE DEFAULT-+-2))
 (4832 746 (:DEFINITION BINARY-APPEND))
 (4380 730 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4310 292 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (4283 3063 (:REWRITE DEFAULT-+-1))
 (4018 292 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3788 3788 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (3645 2077 (:REWRITE DEFAULT-CAR))
 (3488 3488 (:TYPE-PRESCRIPTION D-E-P))
 (3488 3488 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (3481 1 (:DEFINITION MEMBER-EQUAL))
 (3136 292 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (3060 180 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2912 1166 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (2880 192 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2808 2808 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2724 1492 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2348 2348 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2326 583 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (2241 2079 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (2216 523 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2156 2156 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (1912 80 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (1728 192 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (1693 521 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1664 944 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1662 378 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1530 1530 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1503 2 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1478 1174 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1460 1460 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1440 180 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (1409 497 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1370 115 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (1354 1354 (:TYPE-PRESCRIPTION ZP))
 (1304 1304 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1291 105 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (1144 104 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (960 192 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (876 876 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (802 82 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-11))
 (730 730 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (550 110 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (360 360 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (214 214 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (180 180 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (170 170 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (127 2 (:REWRITE MEMBER-WHEN-ATOM))
 (48 16 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (41 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 40 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 16 (:TYPE-PRESCRIPTION NATS=>STRING))
 (16 16 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (2 2 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-13
 (14544 24 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (8791 213 (:REWRITE ZP-OPEN))
 (7066 68 (:REWRITE NFIX-WHEN-ZP))
 (6838 25 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (6266 1 (:DEFINITION FREE-INDEX-LISTP))
 (5435 25 (:REWRITE COUNT-FREE-CLUSTERS-OF-UPDATE-NTH))
 (4773 164 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (4366 194 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (3674 68 (:REWRITE NFIX-WHEN-NATP))
 (3498 42 (:DEFINITION NATP))
 (3272 55 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (3249 1 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (3241 41 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (2928 48 (:REWRITE LENGTH-WHEN-STRINGP))
 (2525 343 (:REWRITE DEFAULT-CDR))
 (2397 370 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (2338 1 (:DEFINITION MEMBER-EQUAL))
 (2311 1115 (:REWRITE DEFAULT-<-1))
 (2160 96 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (2127 51 (:DEFINITION LEN))
 (1944 216 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1895 1115 (:REWRITE DEFAULT-<-2))
 (1850 3 (:REWRITE FAT32-ENTRY-LIST-P-OF-UPDATE-NTH))
 (1704 96 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1659 1659 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (1632 96 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1512 72 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1502 3 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (1444 4 (:REWRITE LEN-UPDATE-NTH))
 (1440 120 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1324 274 (:REWRITE DEFAULT-CAR))
 (1296 216 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1256 2 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (1248 1248 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (1244 2 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (1230 122 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1152 96 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1000 2 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (992 3 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (923 512 (:REWRITE DEFAULT-+-2))
 (864 864 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (820 164 (:LINEAR NTH-WHEN-D-E-P))
 (768 120 (:DEFINITION BINARY-APPEND))
 (740 185 (:REWRITE COMMUTATIVITY-OF-+))
 (720 120 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (710 133 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (707 65 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (706 2 (:REWRITE MEMBER-WHEN-ATOM))
 (697 512 (:REWRITE DEFAULT-+-1))
 (627 1 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (624 624 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (624 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (600 48 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (588 588 (:TYPE-PRESCRIPTION D-E-P))
 (588 588 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (552 48 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (537 537 (:TYPE-PRESCRIPTION FAT-ENTRY-COUNT))
 (480 192 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (432 432 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (432 240 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (388 388 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (384 96 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (373 113 (:REWRITE NTH-WHEN-D-E-P . 3))
 (369 109 (:REWRITE NTH-WHEN-D-E-P . 2))
 (336 336 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (267 213 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (246 194 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (240 240 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (209 53 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (192 48 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (159 159 (:TYPE-PRESCRIPTION ZP))
 (144 144 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (120 120 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (96 96 (:TYPE-PRESCRIPTION NATP))
 (96 96 (:TYPE-PRESCRIPTION M1-FILE-P))
 (96 96 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (96 48 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (92 4 (:DEFINITION MAX))
 (76 76 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (68 68 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (51 51 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (48 48 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (48 8 (:TYPE-PRESCRIPTION MAX))
 (48 2 (:REWRITE FREE-INDEX-LIST-LISTP-OF-UPDATE-NTH-LEMMA-1))
 (42 42 (:REWRITE COUNT-OF-CLUSTERS-OF-HIFAT-TO-LOFAT-HELPER))
 (32 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (24 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (18 6 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (18 6 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (18 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (17 17 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (12 12 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10 2 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (9 3 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 6 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (6 6 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (6 6 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (6 6 (:TYPE-PRESCRIPTION ATOM))
 (6 3 (:REWRITE FAT32-UPDATE-LOWER-28-CORRECTNESS-1 . 1))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-21
 (143039 191 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (28879 1443 (:REWRITE ZP-OPEN))
 (28092 440 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (26216 58 (:REWRITE FAT-LENGTH-OF-UPDATE-FATI))
 (25291 1203 (:DEFINITION LEN))
 (20454 2281 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (19126 1326 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (17190 764 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (16452 768 (:REWRITE STR::CONSP-OF-EXPLODE))
 (16245 955 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (15105 3604 (:REWRITE DEFAULT-CDR))
 (14904 573 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (13986 1045 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (13804 232 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (13723 185 (:REWRITE NFIX-WHEN-ZP))
 (12853 776 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (11727 979 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11185 11185 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (11008 562 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (10684 118 (:DEFINITION NATP))
 (9973 5218 (:REWRITE DEFAULT-<-2))
 (9932 9932 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (9410 5218 (:REWRITE DEFAULT-<-1))
 (8748 1458 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (8629 1014 (:DEFINITION BINARY-APPEND))
 (7518 7518 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (7308 116 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (5730 955 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5718 5718 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (5357 384 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4977 711 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (4966 4966 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (4782 1676 (:REWRITE DEFAULT-+-2))
 (4777 281 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (4266 711 (:DEFINITION MIN))
 (3820 1528 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (3759 3759 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3742 556 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3480 174 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (3104 3104 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3074 3074 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (3056 764 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (3041 62 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2870 2870 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (2649 2239 (:REWRITE DEFAULT-CAR))
 (2640 382 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (2490 498 (:REWRITE NTH-WHEN-D-E-P . 3))
 (2456 2456 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (2450 1326 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2406 33 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (2303 2303 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2297 281 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (2006 728 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1976 1550 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1910 1910 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1902 518 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1888 1888 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1885 1676 (:REWRITE DEFAULT-+-1))
 (1842 556 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (1800 600 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (1705 26 (:REWRITE CONSP-OF-APPEND))
 (1576 1576 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1576 1576 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1553 411 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (1528 1528 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (1334 58 (:DEFINITION MAX))
 (1314 52 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-2))
 (1182 390 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1182 390 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1160 232 (:LINEAR NTH-WHEN-D-E-P))
 (1152 1152 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1102 58 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (1044 174 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (1024 1024 (:TYPE-PRESCRIPTION ZP))
 (956 27 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 1))
 (955 955 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (780 780 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (683 26 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (568 568 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (562 562 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (522 174 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (468 78 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (464 464 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (406 174 (:REWRITE NTH-WHEN-D-E-P . 2))
 (390 390 (:LINEAR POSITION-WHEN-MEMBER))
 (390 390 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (331 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (327 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (292 292 (:TYPE-PRESCRIPTION NATP))
 (281 281 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (174 174 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (174 58 (:REWRITE HIFAT-TO-LOFAT-HELPER-GUARD-LEMMA-3))
 (156 156 (:TYPE-PRESCRIPTION FAT32$C-P))
 (116 116 (:REWRITE COUNT-OF-CLUSTERS-OF-HIFAT-TO-LOFAT-HELPER))
 (110 110 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (110 55 (:REWRITE DEFAULT-*-2))
 (84 28 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (69 55 (:REWRITE DEFAULT-*-1))
 (58 58 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (54 54 (:TYPE-PRESCRIPTION NATS=>STRING))
 (52 4 (:DEFINITION UNSIGNED-BYTE-P))
 (48 4 (:DEFINITION INTEGER-RANGE-P))
 (36 2 (:REWRITE DIFFERENCE-UNSIGNED-BYTE-P))
 (28 28 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (28 14 (:REWRITE DEFAULT-UNARY-MINUS))
 (27 27 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 2))
 (24 8 (:REWRITE HIFAT-BOUNDED-FILE-ALIST-P-OF-CDAR))
 (24 3 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (21 3 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (6 6 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (6 3 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-23
 (765255 8351 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (404285 19140 (:REWRITE NFIX-WHEN-ZP))
 (368944 17428 (:REWRITE ZP-OPEN))
 (141659 24277 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (126690 15126 (:DEFINITION NATP))
 (100116 77391 (:REWRITE DEFAULT-<-2))
 (93313 5471 (:DEFINITION MEMBER-EQUAL))
 (91163 8593 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (90897 77391 (:REWRITE DEFAULT-<-1))
 (82267 239 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (79542 13810 (:DEFINITION NFIX))
 (75511 54999 (:REWRITE DEFAULT-+-2))
 (70525 54999 (:REWRITE DEFAULT-+-1))
 (65322 21774 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (61017 8351 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (59372 59372 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (51144 16944 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (50106 50106 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (44311 44248 (:REWRITE DEFAULT-CDR))
 (39448 39259 (:REWRITE DEFAULT-CAR))
 (32610 16214 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (25573 25213 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (25213 25213 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (24388 6097 (:DEFINITION BINARY-APPEND))
 (24054 4009 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (24054 4009 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (22062 7354 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (20537 12557 (:REWRITE FOLD-CONSTS-IN-+))
 (19410 5038 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (17118 16214 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (16766 16766 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16766 16766 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (16766 16766 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16341 16341 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-8))
 (16264 16264 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (16214 16214 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (16214 16214 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (16214 16214 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (16007 5345 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (15328 15328 (:TYPE-PRESCRIPTION NATP))
 (13118 2082 (:REWRITE ASSOCIATIVITY-OF-+))
 (10942 10942 (:REWRITE SUBSETP-MEMBER . 2))
 (10942 10942 (:REWRITE SUBSETP-MEMBER . 1))
 (8593 8593 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8410 8410 (:REWRITE SUBSETP-MEMBER . 4))
 (8410 8410 (:REWRITE SUBSETP-MEMBER . 3))
 (8410 8410 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8410 8410 (:REWRITE MEMBER-WHEN-ATOM))
 (8410 8410 (:REWRITE INTERSECTP-MEMBER . 3))
 (8410 8410 (:REWRITE INTERSECTP-MEMBER . 2))
 (8410 8410 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (8219 8219 (:REWRITE FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (8203 8203 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (8203 8203 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (8173 8173 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8173 8173 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (8158 1074 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (8018 8018 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8018 8018 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4810 4341 (:REWRITE DEFAULT-UNARY-MINUS))
 (4009 4009 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4009 4009 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2996 356 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2390 478 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (2190 192 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2116 356 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (1935 1935 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1246 178 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (1236 356 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1188 516 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (666 222 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (596 596 (:TYPE-PRESCRIPTION NFIX))
 (534 534 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (480 32 (:REWRITE SUBSETP-APPEND1))
 (360 360 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (289 82 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (256 64 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (192 192 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (164 164 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (128 128 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (102 102 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (88 88 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (64 64 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-18)
(HIFAT-TO-LOFAT-INVERSION-LEMMA-14
 (1936 4 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (392 8 (:REWRITE LENGTH-WHEN-STRINGP))
 (388 24 (:DEFINITION LEN))
 (360 16 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (288 24 (:REWRITE ZP-OPEN))
 (228 36 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (222 70 (:REWRITE DEFAULT-CDR))
 (212 16 (:REWRITE STR::CONSP-OF-EXPLODE))
 (208 208 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (180 12 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (176 16 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (176 8 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (156 20 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (128 20 (:DEFINITION BINARY-APPEND))
 (120 64 (:REWRITE DEFAULT-<-1))
 (120 20 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (120 20 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (112 64 (:REWRITE DEFAULT-<-2))
 (104 104 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (96 16 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (80 32 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (78 78 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (76 8 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (72 40 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (68 8 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (64 64 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (64 64 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (64 16 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (58 50 (:REWRITE DEFAULT-CAR))
 (56 56 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (48 48 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (48 24 (:REWRITE DEFAULT-+-2))
 (48 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (48 8 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (40 40 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (40 40 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (40 32 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (40 8 (:REWRITE NTH-WHEN-D-E-P . 3))
 (39 39 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (32 32 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (32 32 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (32 8 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (32 8 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (24 24 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (24 24 (:REWRITE DEFAULT-+-1))
 (24 8 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (24 8 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (24 8 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (19 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-23))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 16 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (16 16 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 4 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (16 2 (:DEFINITION ASSOC-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 2 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 2))
 (9 1 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7 7 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 1))
 (6 1 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (1 1 (:REWRITE D-E-LIST-P-OF-HIFAT-TO-LOFAT-HELPER))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-24
 (2426 6 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (1584 2 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (1582 2 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 2))
 (814 24 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (564 36 (:DEFINITION LEN))
 (564 12 (:REWRITE LENGTH-WHEN-STRINGP))
 (322 106 (:REWRITE DEFAULT-CDR))
 (318 30 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (300 24 (:REWRITE STR::CONSP-OF-EXPLODE))
 (264 12 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (240 30 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (240 24 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (236 22 (:REWRITE ZP-OPEN))
 (228 24 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (192 30 (:DEFINITION BINARY-APPEND))
 (192 24 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (180 18 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (174 30 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (168 168 (:TYPE-PRESCRIPTION NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (152 68 (:REWRITE DEFAULT-<-1))
 (148 148 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (112 68 (:REWRITE DEFAULT-<-2))
 (108 60 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (108 12 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (96 96 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (96 12 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (86 74 (:REWRITE DEFAULT-CAR))
 (84 84 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (80 28 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (72 36 (:REWRITE DEFAULT-+-2))
 (72 12 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (72 12 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (66 66 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (60 48 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (60 12 (:REWRITE NTH-WHEN-D-E-P . 3))
 (57 57 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 48 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (48 48 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (48 48 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (48 12 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (48 12 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (36 36 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (36 36 (:REWRITE DEFAULT-+-1))
 (36 12 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (36 12 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (36 12 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION D-E-P))
 (24 24 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (24 24 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (18 18 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION NFIX))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER))
 (12 12 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-15
 (398 51 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (329 22 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (319 29 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (307 22 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (271 206 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (250 30 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (210 12 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (185 35 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (164 75 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (148 148 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (137 17 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (137 7 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (130 10 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (127 127 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (102 12 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (91 81 (:REWRITE DEFAULT-CAR))
 (87 29 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (85 70 (:REWRITE DEFAULT-CDR))
 (85 52 (:REWRITE DEFAULT-+-2))
 (78 26 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (75 75 (:TYPE-PRESCRIPTION M1-FILE-P))
 (74 22 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (72 24 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (72 12 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (70 52 (:REWRITE DEFAULT-+-1))
 (61 61 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (52 52 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (50 5 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (42 14 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (36 7 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (30 30 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (25 5 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (21 7 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (20 10 (:REWRITE M1-FILE->CONTENTS$INLINE-OF-M1-FILE-FIX-X))
 (15 15 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (15 15 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15 15 (:REWRITE CDR-CONS))
 (14 14 (:REWRITE FOLD-CONSTS-IN-+))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 2 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 10 (:REWRITE CAR-CONS))
 (6 2 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-2))
 (5 5 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (5 5 (:REWRITE M1-FILE->D-E$INLINE-OF-M1-FILE-FIX-X))
 (5 5 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-FILE-ALIST-FIX))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-16)
(INDUCTION-SCHEME
 (1226 454 (:REWRITE DEFAULT-+-2))
 (1147 109 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1144 46 (:REWRITE LENGTH-WHEN-STRINGP))
 (779 454 (:REWRITE DEFAULT-+-1))
 (678 22 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (638 638 (:TYPE-PRESCRIPTION ACL2-COUNT-OF-CONSP-POSITIVE))
 (590 22 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (583 57 (:DEFINITION LEN))
 (580 52 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (404 266 (:REWRITE DEFAULT-CDR))
 (368 92 (:DEFINITION INTEGER-ABS))
 (324 40 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (268 36 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (243 243 (:REWRITE DEFAULT-CAR))
 (240 20 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (232 18 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (218 218 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (210 25 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (176 176 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (145 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (144 112 (:REWRITE DEFAULT-<-1))
 (138 138 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (138 92 (:REWRITE STR::CONSP-OF-EXPLODE))
 (132 112 (:REWRITE DEFAULT-<-2))
 (124 26 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (124 7 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (120 106 (:REWRITE DEFAULT-UNARY-MINUS))
 (114 114 (:REWRITE FOLD-CONSTS-IN-+))
 (108 108 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (92 46 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (88 88 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (58 58 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (58 58 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (54 54 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (46 46 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (46 46 (:REWRITE DEFAULT-REALPART))
 (46 46 (:REWRITE DEFAULT-NUMERATOR))
 (46 46 (:REWRITE DEFAULT-IMAGPART))
 (46 46 (:REWRITE DEFAULT-DENOMINATOR))
 (40 40 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (40 40 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (40 40 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (37 17 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (37 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (24 24 (:LINEAR ACL2-COUNT-WHEN-MEMBER))
 (24 8 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (22 22 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (20 20 (:TYPE-PRESCRIPTION D-E-P))
 (20 20 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (20 4 (:REWRITE NTH-WHEN-D-E-P . 3))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13 13 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (12 12 (:LINEAR ACL2-COUNT-OF-CONSP-POSITIVE))
 (12 4 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 10 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(INDUCTION-SCHEME-CORRECTNESS
 (207843 23619 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (192235 8632 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (184414 12164 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (173065 9144 (:REWRITE STR::CONSP-OF-EXPLODE))
 (167559 45087 (:REWRITE DEFAULT-CDR))
 (156774 10959 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (151417 6463 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (132228 10598 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (128570 12830 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (111024 111024 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (105894 17649 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (81544 81544 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (73376 35574 (:REWRITE DEFAULT-+-2))
 (69440 10832 (:DEFINITION BINARY-APPEND))
 (65754 10959 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (61664 36128 (:REWRITE DEFAULT-<-2))
 (58651 4572 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (57942 3132 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (43299 35574 (:REWRITE DEFAULT-+-1))
 (41699 16895 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (40772 40772 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (39072 21664 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (38166 38166 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (31727 31727 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (30840 26082 (:REWRITE DEFAULT-CAR))
 (30464 30464 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (29682 6998 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (29388 29388 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (23490 1566 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (22492 4636 (:REWRITE NTH-WHEN-D-E-P . 3))
 (22280 5075 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (21918 21918 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (19572 19572 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (17912 224 (:REWRITE FAT-LENGTH-OF-UPDATE-FATI))
 (15362 15362 (:TYPE-PRESCRIPTION M1-FILE-P))
 (15296 12164 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (14937 4627 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (14679 4893 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (14679 4893 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (13716 13716 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (12528 1566 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (10959 10959 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (10444 10444 (:TYPE-PRESCRIPTION D-E-P))
 (10444 10444 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (9786 9786 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8739 2689 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (8516 440 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (7760 204 (:REWRITE NFIX-WHEN-ZP))
 (7402 2168 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (6318 3159 (:REWRITE DEFAULT-UNARY-MINUS))
 (5336 204 (:REWRITE NFIX-WHEN-NATP))
 (4928 204 (:DEFINITION NATP))
 (4893 4893 (:LINEAR POSITION-WHEN-MEMBER))
 (4893 4893 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3168 672 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (3132 3132 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (2770 554 (:LINEAR NTH-WHEN-D-E-P))
 (2200 440 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1804 224 (:DEFINITION MAX))
 (1566 1566 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (1256 440 (:REWRITE NTH-WHEN-D-E-P . 2))
 (992 32 (:DEFINITION NFIX))
 (204 204 (:TYPE-PRESCRIPTION NATP))
 )
(HIFAT-TO-LOFAT-INVERSION-BIG-INDUCTION
 (2292500 115849 (:REWRITE NFIX-WHEN-ZP))
 (798205 489966 (:REWRITE DEFAULT-<-2))
 (770315 489966 (:REWRITE DEFAULT-<-1))
 (741718 103854 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (494852 46092 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (454903 305490 (:REWRITE DEFAULT-+-2))
 (408503 305490 (:REWRITE DEFAULT-+-1))
 (391035 36487 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (362928 72 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (336857 57174 (:DEFINITION BINARY-APPEND))
 (261023 40099 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (256429 76541 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (242886 13818 (:DEFINITION FIND-D-E))
 (212605 28609 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (210150 41456 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (200296 19620 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (188423 186503 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (187419 186527 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (166800 55600 (:LINEAR NTH-WHEN-D-E-P))
 (165008 2816 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (151845 96539 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (148726 17022 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (139491 56043 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (137980 19620 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (126754 13818 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (116820 14465 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (104104 104104 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (100120 99283 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (97583 97583 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-8))
 (96556 96556 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (96547 96547 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (96547 96547 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (95783 95783 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (95050 8798 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (91992 17934 (:REWRITE SUBSETP-CAR-MEMBER))
 (91194 15199 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (91194 15199 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (78800 19620 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (78310 28598 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (76349 76349 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (76349 76349 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (76349 76349 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (69500 14124 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (67222 18254 (:REWRITE MEMBER-WHEN-ATOM))
 (63256 2616 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (63224 1160 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (62314 25138 (:REWRITE NTH-WHEN-D-E-P . 2))
 (61038 20346 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (59900 388 (:REWRITE D-E-CC-OF-UPDATE-FATI))
 (54764 54764 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (54064 2848 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (49712 20892 (:REWRITE NTH-WHEN-D-E-P . 3))
 (48208 372 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-FATI))
 (46524 7116 (:REWRITE ASSOCIATIVITY-OF-+))
 (46092 46092 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (44842 44842 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (44588 44588 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (43032 856 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (41456 41456 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (41442 41442 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (41420 41420 (:REWRITE INTERSECTP-MEMBER . 1))
 (31256 1408 (:REWRITE FREE-INDEX-LIST-LISTP-OF-UPDATE-NTH-LEMMA-1))
 (30398 30398 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (30398 30398 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (28950 9650 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (28950 9650 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (27320 27320 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (27320 27320 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (27320 27320 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (24946 24946 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (20049 20049 (:REWRITE SUBSETP-MEMBER . 2))
 (20049 20049 (:REWRITE SUBSETP-MEMBER . 1))
 (18741 18741 (:REWRITE SUBSETP-MEMBER . 4))
 (18741 18741 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (18741 18741 (:REWRITE INTERSECTP-MEMBER . 3))
 (18741 18741 (:REWRITE INTERSECTP-MEMBER . 2))
 (18741 18741 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (16428 328 (:REWRITE CONSP-OF-APPEND))
 (15199 15199 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (15199 15199 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (14675 1393 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (14354 13964 (:REWRITE DEFAULT-UNARY-MINUS))
 (13818 13818 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (13644 13644 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (13636 13636 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (11909 11909 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (11760 11760 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (11296 32 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT))
 (9650 9650 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (9237 1922 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (6854 6854 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (6288 1048 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5523 1393 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (4626 22 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (4484 1932 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (4464 408 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (4368 1456 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4181 4181 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (4004 711 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (2928 2928 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (2845 398 (:REWRITE SUBSETP-OF-CONS))
 (2746 2746 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2685 43 (:DEFINITION MAKE-LIST-AC))
 (2096 2096 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1881 1881 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1768 34 (:REWRITE FREE-INDEX-LISTP-OF-EFFECTIVE-FAT-OF-HIFAT-TO-LOFAT-HELPER))
 (1764 252 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1462 1246 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (1393 1393 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1393 1393 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1358 14 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-5))
 (1246 1246 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1174 1174 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (1048 1048 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (960 320 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (960 192 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (960 32 (:REWRITE FATI-OF-PLACE-CONTENTS-DISJOINT))
 (875 21 (:REWRITE CHARACTER-LISTP-APPEND))
 (840 14 (:REWRITE NTH-OF-APPEND))
 (816 816 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (718 359 (:REWRITE DEFAULT-*-2))
 (711 711 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (640 640 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (520 359 (:REWRITE DEFAULT-*-1))
 (497 49 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (408 408 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (406 29 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (322 21 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-APPEND))
 (320 320 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (312 312 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (192 8 (:REWRITE NTH-OF-FREE-INDEX-LIST))
 (175 140 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (170 170 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (154 49 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (146 146 (:TYPE-PRESCRIPTION ATOM))
 (128 128 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (126 126 (:TYPE-PRESCRIPTION FIX))
 (114 114 (:LINEAR POSITION-WHEN-MEMBER))
 (114 114 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (89 8 (:REWRITE SUBSETP-APPEND1))
 (84 21 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (40 8 (:REWRITE D-E-LIST-P-OF-CONS))
 (21 3 (:REWRITE HIFAT-EQUIV-OF-CONS-LEMMA-3))
 (20 4 (:REWRITE MEMBER-OF-CONS))
 (16 16 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (9 9 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (7 7 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 )
(HIFAT-TO-LOFAT-INVERSION-BIG-INDUCTION-COROLLARIES
 (7872 18 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (2010 6 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (2004 4 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 2))
 (1656 36 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (1210 72 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (1188 36 (:REWRITE LENGTH-WHEN-STRINGP))
 (878 410 (:REWRITE DEFAULT-<-1))
 (810 36 (:DEFINITION LEN))
 (756 108 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (724 724 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (648 108 (:DEFINITION MIN))
 (632 236 (:REWRITE DEFAULT-CDR))
 (612 612 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (612 72 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (600 410 (:REWRITE DEFAULT-<-2))
 (576 90 (:DEFINITION BINARY-APPEND))
 (522 72 (:REWRITE STR::CONSP-OF-EXPLODE))
 (450 90 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (432 36 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (360 72 (:LINEAR NTH-WHEN-D-E-P))
 (324 180 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (300 116 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (288 288 (:TYPE-PRESCRIPTION D-E-P))
 (288 288 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (288 72 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (288 36 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (270 90 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (252 252 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (236 200 (:REWRITE DEFAULT-CAR))
 (216 216 (:TYPE-PRESCRIPTION LEN))
 (216 72 (:REWRITE NTH-WHEN-D-E-P . 3))
 (216 72 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (216 72 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (198 198 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (198 36 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (180 144 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (180 36 (:REWRITE NTH-WHEN-D-E-P . 2))
 (162 54 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (162 36 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (152 1 (:DEFINITION FREE-INDEX-LIST-LISTP))
 (151 151 (:TYPE-PRESCRIPTION FAT-ENTRY-COUNT))
 (144 144 (:TYPE-PRESCRIPTION NFIX))
 (144 144 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (144 144 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (144 36 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (144 36 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (143 1 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (108 108 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (90 90 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (88 46 (:REWRITE DEFAULT-+-2))
 (74 2 (:REWRITE NFIX-WHEN-ZP))
 (72 72 (:TYPE-PRESCRIPTION M1-FILE-P))
 (72 72 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (72 36 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (54 54 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (51 8 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (51 2 (:REWRITE NFIX-WHEN-NATP))
 (50 46 (:REWRITE DEFAULT-+-1))
 (40 40 (:TYPE-PRESCRIPTION NAT-LISTP))
 (38 38 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (38 38 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (36 36 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (36 36 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (36 36 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (36 36 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (36 36 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (26 2 (:DEFINITION NATP))
 (17 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (16 4 (:REWRITE COMMUTATIVITY-OF-+))
 (11 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (10 2 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (7 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 2 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (6 1 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (6 1 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (4 1 (:DEFINITION NFIX))
 (3 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (2 2 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-8))
 (1 1 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FD-TABLE-P-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))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-19
 (14 14 (:TYPE-PRESCRIPTION MOD-NON-POSITIVE-TYPE-PRESCRIPTION))
 (6 6 (:TYPE-PRESCRIPTION POWER2P))
 (3 2 (:REWRITE DEFAULT-<-1))
 (3 1 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (2 2 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (2 2 (:REWRITE MOD-WHEN-Y-IS-AN-INVERSE))
 (2 2 (:REWRITE MOD-MINUS-ALT))
 (2 2 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (2 2 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (2 2 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (2 2 (:REWRITE EXPT-COMPARE))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (2 2 (:META CANCEL_PLUS-LESSP-CORRECT))
 (1 1 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (1 1 (:REWRITE MOD-WITH-X-A-NON-ACL2-NUMBER-IS-ZERO))
 (1 1 (:REWRITE EXPT-COMPARE-EQUAL))
 (1 1 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (1 1 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (1 1 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (1 1 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL-WITH-0))
 (1 1 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (1 1 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (1 1 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-20
 (110 110 (:TYPE-PRESCRIPTION MOD-NON-POSITIVE-TYPE-PRESCRIPTION))
 (60 10 (:REWRITE MOD-DOES-NOTHING))
 (53 27 (:REWRITE DEFAULT-<-1))
 (29 29 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (29 29 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (29 29 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (29 29 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (29 29 (:REWRITE EXPT-COMPARE))
 (29 29 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (29 27 (:REWRITE DEFAULT-<-2))
 (28 28 (:META CANCEL_PLUS-LESSP-CORRECT))
 (25 10 (:REWRITE MOD-WHEN-Y-IS-AN-INVERSE))
 (23 8 (:REWRITE DEFAULT-CDR))
 (21 13 (:REWRITE DEFAULT-+-2))
 (20 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (16 16 (:REWRITE EXPT-COMPARE-EQUAL))
 (16 16 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (16 16 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (16 16 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (16 16 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (16 16 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (16 16 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (16 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (13 13 (:REWRITE DEFAULT-+-1))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (10 10 (:REWRITE MOD-WITH-X-A-NON-ACL2-NUMBER-IS-ZERO))
 (10 10 (:REWRITE MOD-MINUS-ALT))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 6 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (6 6 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (5 5 (:REWRITE POWER2-INTEGER))
 (5 5 (:REWRITE INTEGERP-MINUS))
 (5 5 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5 5 (:REWRITE DEFAULT-UNARY-/))
 (4 4 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL-WITH-0))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:REWRITE UPDATE-BPB_SECPERCLUS-CORRECTNESS-2 . 3))
 (2 2 (:REWRITE UPDATE-BPB_RSVDSECCNT-CORRECTNESS-2 . 3))
 (2 2 (:REWRITE UPDATE-BPB_NUMFATS-CORRECTNESS-2 . 3))
 (2 2 (:REWRITE UPDATE-BPB_FATSZ32-CORRECTNESS-2 . 3))
 (2 2 (:REWRITE UPDATE-BPB_BYTSPERSEC-CORRECTNESS-2 . 3))
 )
(HIFAT-TO-LOFAT-INVERSION-LEMMA-22
 (17065 7 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 2))
 (15972 11 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (11780 334 (:REWRITE ZP-OPEN))
 (11295 419 (:REWRITE NFIX-WHEN-ZP))
 (9183 33 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (8390 55 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (7795 10 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (7041 16 (:REWRITE MEMBER-OF-GENERATE-INDEX-LIST))
 (5131 25 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (4900 3029 (:REWRITE DEFAULT-+-2))
 (4804 33 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (4127 3029 (:REWRITE DEFAULT-+-1))
 (3718 22 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (3696 22 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (2685 9 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (2380 56 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1445 737 (:REWRITE DEFAULT-<-2))
 (1235 1235 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (1198 737 (:REWRITE DEFAULT-<-1))
 (1159 13 (:REWRITE FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (990 44 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (865 13 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (726 22 (:REWRITE LENGTH-WHEN-STRINGP))
 (703 304 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (666 295 (:REWRITE DEFAULT-CAR))
 (572 572 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (545 47 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (507 507 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (495 22 (:DEFINITION LEN))
 (462 66 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (430 158 (:REWRITE DEFAULT-CDR))
 (420 30 (:DEFINITION MAKE-LIST-AC))
 (420 30 (:DEFINITION GENERATE-INDEX-LIST))
 (418 2 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-18))
 (396 66 (:DEFINITION MIN))
 (358 33 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (352 55 (:DEFINITION BINARY-APPEND))
 (333 1 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (319 44 (:REWRITE STR::CONSP-OF-EXPLODE))
 (285 276 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (275 55 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (270 18 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (264 22 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (235 235 (:TYPE-PRESCRIPTION ZP))
 (223 1 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (220 88 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (220 44 (:LINEAR NTH-WHEN-D-E-P))
 (213 71 (:REWRITE COUNT-OF-CLUSTERS-OF-HIFAT-TO-LOFAT-HELPER))
 (212 1 (:DEFINITION FREE-INDEX-LISTP))
 (176 176 (:TYPE-PRESCRIPTION D-E-P))
 (176 176 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (176 44 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (176 44 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (176 22 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (165 55 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (162 18 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (161 1 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (154 154 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (148 74 (:REWRITE COUNT-OF-CLUSTERS-OF-UPDATE-FATI))
 (132 44 (:REWRITE NTH-WHEN-D-E-P . 3))
 (132 44 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (132 44 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (121 121 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (121 22 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (116 116 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (115 23 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (110 88 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (110 22 (:REWRITE NTH-WHEN-D-E-P . 2))
 (100 100 (:TYPE-PRESCRIPTION NFIX))
 (99 33 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (99 22 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (98 14 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (90 18 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (89 89 (:TYPE-PRESCRIPTION GENERATE-INDEX-LIST))
 (88 88 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (88 22 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (66 66 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (66 66 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (55 55 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (55 5 (:REWRITE SUBSETP-CAR-MEMBER))
 (44 44 (:TYPE-PRESCRIPTION M1-FILE-P))
 (44 44 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (42 6 (:REWRITE FATI-OF-UPDATE-FATI))
 (40 40 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (40 40 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (39 39 (:TYPE-PRESCRIPTION NAT-LISTP))
 (36 36 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (33 33 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (33 33 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (33 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (32 7 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (22 22 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (20 5 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (19 19 (:REWRITE SUBSETP-MEMBER . 4))
 (19 19 (:REWRITE SUBSETP-MEMBER . 3))
 (19 19 (:REWRITE SUBSETP-MEMBER . 2))
 (19 19 (:REWRITE SUBSETP-MEMBER . 1))
 (19 19 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (19 19 (:REWRITE INTERSECTP-MEMBER . 3))
 (19 19 (:REWRITE INTERSECTP-MEMBER . 2))
 (19 19 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (18 18 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (18 9 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (12 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:DEFINITION ATOM))
 (7 1 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (6 5 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (3 3 (:REWRITE GENERATE-INDEX-LIST-CORRECTNESS-1))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3 2 (:REWRITE MEMBER-OF-CONS))
 (2 2 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-8))
 (2 1 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (1 1 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (1 1 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (1 1 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 2))
 )
(HIFAT-TO-LOFAT-INVERSION
 (24508 56 (:REWRITE MEMBER-OF-GENERATE-INDEX-LIST))
 (21953 719 (:REWRITE NFIX-WHEN-ZP))
 (17220 292 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (16152 28 (:REWRITE FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (12222 28 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (9095 5594 (:REWRITE DEFAULT-+-2))
 (7639 5594 (:REWRITE DEFAULT-+-1))
 (6564 380 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (5376 32 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (5376 32 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (4774 682 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (3877 2393 (:REWRITE DEFAULT-<-2))
 (3694 2393 (:REWRITE DEFAULT-<-1))
 (3008 3008 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (2450 10 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (2436 2 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (2336 2 (:REWRITE COUNT-FREE-CLUSTERS-OF-UPDATE-NTH))
 (2126 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 2))
 (1520 304 (:LINEAR NTH-WHEN-D-E-P))
 (1400 64 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (1300 80 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (1248 92 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (1134 14 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (1102 84 (:DEFINITION BINARY-APPEND))
 (1078 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1044 4 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (1038 8 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (947 71 (:DEFINITION LEN))
 (766 43 (:DEFINITION MAKE-LIST-AC))
 (760 760 (:TYPE-PRESCRIPTION D-E-P))
 (760 760 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (668 4 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-2))
 (656 4 (:DEFINITION FREE-INDEX-LISTP))
 (631 271 (:REWRITE DEFAULT-CDR))
 (490 35 (:DEFINITION GENERATE-INDEX-LIST))
 (464 168 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (464 64 (:REWRITE STR::CONSP-OF-EXPLODE))
 (444 36 (:DEFINITION NFIX))
 (436 436 (:TYPE-PRESCRIPTION GENERATE-INDEX-LIST))
 (400 80 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (356 56 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (320 134 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (280 76 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (268 92 (:REWRITE NTH-WHEN-D-E-P . 2))
 (262 226 (:REWRITE DEFAULT-CAR))
 (240 80 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (228 24 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (224 224 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (204 76 (:REWRITE NTH-WHEN-D-E-P . 3))
 (192 64 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (189 189 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (176 176 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (168 12 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (160 128 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (156 12 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (144 48 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (144 32 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (136 136 (:TYPE-PRESCRIPTION NAT-LISTP))
 (132 12 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (128 128 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (128 56 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (128 32 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (116 116 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (108 36 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (108 12 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (104 12 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (96 96 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (92 92 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (80 80 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (80 80 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (68 18 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (64 64 (:TYPE-PRESCRIPTION M1-FILE-P))
 (64 64 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (61 31 (:REWRITE DEFAULT-*-2))
 (60 60 (:REWRITE SUBSETP-MEMBER . 4))
 (60 60 (:REWRITE SUBSETP-MEMBER . 3))
 (60 60 (:REWRITE SUBSETP-MEMBER . 2))
 (60 60 (:REWRITE SUBSETP-MEMBER . 1))
 (60 60 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (60 60 (:REWRITE INTERSECTP-MEMBER . 3))
 (60 60 (:REWRITE INTERSECTP-MEMBER . 2))
 (60 60 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (56 56 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (56 56 (:REWRITE GENERATE-INDEX-LIST-CORRECTNESS-1))
 (56 56 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (56 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (56 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (48 48 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (35 31 (:REWRITE DEFAULT-*-1))
 (32 32 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (28 10 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (26 26 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (26 2 (:REWRITE CDR-OF-MAKE-LIST))
 (24 24 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (24 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (24 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (20 20 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (16 4 (:DEFINITION ATOM))
 (14 2 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (12 12 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (12 12 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (12 12 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (12 12 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (12 10 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (12 4 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (10 10 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 10 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (10 10 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (10 10 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (10 10 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (10 10 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (10 10 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-8))
 (10 6 (:REWRITE FOLD-CONSTS-IN-+))
 (8 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (8 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (4 4 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (2 2 (:REWRITE MEMBER-OF-CONS))
 (2 2 (:REWRITE CAR-OF-MAKE-LIST))
 )
(COUNT-FREE-CLUSTERS-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS
 (2061 1305 (:REWRITE DEFAULT-+-2))
 (1862 115 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1799 115 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1776 1305 (:REWRITE DEFAULT-+-1))
 (1770 361 (:REWRITE NFIX-WHEN-ZP))
 (1024 48 (:REWRITE SUBSETP-APPEND1))
 (928 48 (:REWRITE SUBSETP-OF-CONS))
 (809 432 (:REWRITE DEFAULT-<-2))
 (668 88 (:REWRITE MEMBER-WHEN-ATOM))
 (519 20 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (488 432 (:REWRITE DEFAULT-<-1))
 (443 233 (:REWRITE DEFAULT-CDR))
 (308 56 (:DEFINITION ATOM))
 (273 115 (:REWRITE DEFAULT-CAR))
 (261 10 (:DEFINITION BINARY-APPEND))
 (224 224 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (156 52 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (156 52 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (156 4 (:DEFINITION STOBJ-SET-CLUSTERS))
 (149 5 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (146 146 (:REWRITE SUBSETP-MEMBER . 2))
 (146 146 (:REWRITE SUBSETP-MEMBER . 1))
 (124 31 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (112 112 (:TYPE-PRESCRIPTION ZP))
 (104 104 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (102 102 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (102 102 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (95 95 (:REWRITE SUBSETP-MEMBER . 4))
 (95 95 (:REWRITE INTERSECTP-MEMBER . 3))
 (95 95 (:REWRITE INTERSECTP-MEMBER . 2))
 (90 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (54 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (52 52 (:LINEAR POSITION-WHEN-MEMBER))
 (52 52 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (42 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (33 11 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30 6 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (27 17 (:REWRITE DEFAULT-UNARY-MINUS))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (20 20 (:REWRITE SUBSETP-NIL))
 (20 4 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (18 18 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (15 3 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (12 12 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 12 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 4 (:REWRITE DATA-REGION-LENGTH-OF-STOBJ-SET-CLUSTERS))
 (6 6 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (6 6 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (6 6 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (6 6 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(COUNT-FREE-CLUSTERS-OF-EFFECTIVE-FAT-OF-HIFAT-TO-LOFAT-HELPER
 (107676 278 (:DEFINITION FREE-INDEX-LISTP))
 (72642 3780 (:REWRITE NFIX-WHEN-ZP))
 (51642 3614 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (21601 10970 (:REWRITE DEFAULT-<-2))
 (21532 10970 (:REWRITE DEFAULT-<-1))
 (20719 12203 (:REWRITE DEFAULT-+-2))
 (20544 278 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (17464 12203 (:REWRITE DEFAULT-+-1))
 (15416 1784 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (13564 474 (:DEFINITION LEN))
 (13028 28 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (11213 3036 (:REWRITE DEFAULT-CDR))
 (10691 1032 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9808 804 (:REWRITE STR::CONSP-OF-EXPLODE))
 (8960 1792 (:LINEAR NTH-WHEN-D-E-P))
 (8340 556 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (7007 3309 (:REWRITE DEFAULT-CAR))
 (6223 915 (:DEFINITION BINARY-APPEND))
 (5172 5172 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (5004 556 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (4531 4531 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (3523 402 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3380 1830 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (3336 278 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (3231 1329 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (3058 278 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (2780 556 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (2575 1034 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (2534 2534 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (2507 526 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2427 735 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2382 228 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (2301 249 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-11))
 (1981 497 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1946 278 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1390 278 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (1206 1206 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (646 68 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (578 578 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (516 86 (:REWRITE DEFAULT-UNARY-MINUS))
 (328 164 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (303 303 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (269 269 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (269 269 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (228 228 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (204 68 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (204 34 (:REWRITE CONSP-OF-APPEND))
 (171 57 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (171 57 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (138 69 (:REWRITE DEFAULT-*-2))
 (114 114 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (72 24 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (69 69 (:REWRITE DEFAULT-*-1))
 (68 68 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (58 58 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (57 57 (:LINEAR POSITION-WHEN-MEMBER))
 (57 57 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (32 32 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (24 24 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (24 24 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 )
(HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-1
 (2242714 288 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (1197940 8263 (:REWRITE NFIX-WHEN-ZP))
 (946700 1983 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (395376 135915 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (276098 49697 (:REWRITE DEFAULT-+-2))
 (185871 11733 (:DEFINITION LEN))
 (172656 44449 (:REWRITE DEFAULT-<-2))
 (170001 2551 (:DEFINITION NFIX))
 (155567 19118 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (130907 40015 (:REWRITE DEFAULT-CDR))
 (108190 12656 (:REWRITE STR::CONSP-OF-EXPLODE))
 (94570 13062 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (89722 6328 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (74468 44449 (:REWRITE DEFAULT-<-1))
 (73278 49697 (:REWRITE DEFAULT-+-1))
 (59852 13196 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (54359 3121 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (40666 30266 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (40652 20326 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (35896 5128 (:REWRITE DISTRIBUTIVITY))
 (35838 11690 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (22940 288 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (21066 10533 (:REWRITE DEFAULT-*-2))
 (18984 18984 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (17796 396 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (14760 396 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (10858 914 (:DEFINITION BINARY-APPEND))
 (10533 10533 (:REWRITE DEFAULT-*-1))
 (10238 5119 (:REWRITE DEFAULT-UNARY-MINUS))
 (8380 1676 (:LINEAR NTH-WHEN-D-E-P))
 (6927 1096 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (6826 6676 (:REWRITE DEFAULT-CAR))
 (5626 5626 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (4292 4292 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2984 360 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2919 1663 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2842 1828 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2702 334 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (2256 216 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2058 686 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (2058 343 (:REWRITE CONSP-OF-APPEND))
 (1878 792 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1844 1844 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1676 568 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (1642 1642 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1642 1642 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1383 461 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1383 461 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1138 470 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1086 462 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1050 1050 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (922 922 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (910 182 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (686 686 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (668 668 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (461 461 (:LINEAR POSITION-WHEN-MEMBER))
 (461 461 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (350 350 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER-LEMMA-1))
 (334 334 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (240 40 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
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 (216 72 (:REWRITE LENGTH-OF-EMPTY-LIST))
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 (72 72 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
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 )
(HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-2
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 (177550 286 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-1))
 (171472 20539 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (143478 43224 (:REWRITE DEFAULT-CDR))
 (118557 13534 (:REWRITE STR::CONSP-OF-EXPLODE))
 (105364 14248 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (98333 6767 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (79759 53766 (:REWRITE DEFAULT-+-1))
 (79207 47690 (:REWRITE DEFAULT-<-1))
 (63860 14318 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (46965 288 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (44018 22009 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (43802 32524 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (38969 5567 (:REWRITE DISTRIBUTIVITY))
 (38661 12631 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (22826 11413 (:REWRITE DEFAULT-*-2))
 (20301 20301 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (17796 396 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (14760 396 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
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 (3088 386 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
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 (1920 820 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
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 (463 463 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (396 396 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (396 396 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (386 386 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (282 141 (:REWRITE COUNT-OF-CLUSTERS-OF-UPDATE-FATI))
 (240 40 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (216 72 (:REWRITE LENGTH-OF-EMPTY-LIST))
 (144 72 (:REWRITE STR-FIX-WHEN-STRINGP))
 (120 120 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (80 80 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (72 72 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (40 40 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (32 32 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-4 . 2))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
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(HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-3
 (257200 112 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (161204 246 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (95568 208 (:DEFINITION FREE-INDEX-LISTP))
 (64605 1538 (:REWRITE NFIX-WHEN-ZP))
 (55808 2704 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (53932 448 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (29061 441 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-2))
 (24052 1398 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (20832 208 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (19726 7055 (:REWRITE DEFAULT-<-1))
 (18953 2441 (:REWRITE DEFAULT-CAR))
 (18909 7055 (:REWRITE DEFAULT-<-2))
 (18610 9134 (:REWRITE DEFAULT-+-2))
 (18233 448 (:REWRITE NATP-OF-HIFAT-TO-LOFAT-HELPER))
 (16005 7579 (:REWRITE DEFAULT-CDR))
 (15101 441 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-1))
 (13622 9134 (:REWRITE DEFAULT-+-1))
 (13136 416 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (10186 5093 (:REWRITE DEFAULT-UNARY-MINUS))
 (9996 216 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-11))
 (9392 208 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (9184 208 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (6657 811 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6640 1328 (:LINEAR NTH-WHEN-D-E-P))
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 (2404 104 (:LINEAR PAINFUL-DEBUGGING-LEMMA-9))
 (2296 2296 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (2080 416 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (2016 1120 (:REWRITE APPEND-WHEN-NOT-CONSP))
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 (1568 1568 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
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 (1004 1004 (:TYPE-PRESCRIPTION CEILING))
 (836 25 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (761 25 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (624 208 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (542 542 (:TYPE-PRESCRIPTION M1-FILE-P))
 (454 454 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (416 416 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (208 104 (:REWRITE DEFAULT-*-2))
 (124 124 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (104 104 (:REWRITE DEFAULT-*-1))
 (93 31 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (93 31 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (62 62 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (31 31 (:LINEAR POSITION-WHEN-MEMBER))
 (31 31 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (31 1 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (25 25 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE HIFAT-TO-LOFAT-HELPER-GUARD-LEMMA-3))
 )
(HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5
 (10490844 886 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
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 (225095 219103 (:REWRITE DEFAULT-CDR))
 (211590 70588 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (135108 67554 (:REWRITE DEFAULT-*-2))
 (70588 70588 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
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 (67554 67554 (:REWRITE DEFAULT-*-1))
 (66078 33043 (:REWRITE DEFAULT-UNARY-MINUS))
 (48980 9796 (:LINEAR NTH-WHEN-D-E-P))
 (47138 3460 (:REWRITE COMMUTATIVITY-2-OF-+))
 (39439 17665 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (39046 38592 (:REWRITE DEFAULT-CAR))
 (23876 23876 (:TYPE-PRESCRIPTION D-E-P))
 (23876 23876 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (17406 10966 (:REWRITE NTH-WHEN-D-E-P . 2))
 (10371 1282 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (8188 8188 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (7833 3632 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (7212 1122 (:DEFINITION BINARY-APPEND))
 (6141 2047 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6141 2047 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (2040 2040 (:REWRITE HIFAT-TO-LOFAT-HELPER-GUARD-LEMMA-3))
 (1640 1640 (:TYPE-PRESCRIPTION NATS=>STRING))
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 (996 498 (:REWRITE COUNT-OF-CLUSTERS-OF-UPDATE-FATI))
 (656 19 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (599 19 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (462 462 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (286 44 (:TYPE-PRESCRIPTION MIN))
 (194 194 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (160 8 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (19 19 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (19 19 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(NON-FREE-INDEX-LISTP-CORRECTNESS-6-LEMMA-1
 (468 25 (:DEFINITION MEMBER-EQUAL))
 (294 57 (:REWRITE SUBSETP-MEMBER . 3))
 (249 6 (:REWRITE SUBSETP-OF-REMOVE1))
 (183 9 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (130 32 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (94 10 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (90 18 (:REWRITE DEFAULT-<-1))
 (75 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (72 4 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (63 4 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (62 4 (:REWRITE NAT-LISTP-OF-REMOVE))
 (60 10 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (57 57 (:REWRITE SUBSETP-MEMBER . 4))
 (57 57 (:REWRITE SUBSETP-MEMBER . 2))
 (57 57 (:REWRITE SUBSETP-MEMBER . 1))
 (57 57 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (57 57 (:REWRITE INTERSECTP-MEMBER . 3))
 (57 57 (:REWRITE INTERSECTP-MEMBER . 2))
 (57 57 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (56 55 (:REWRITE DEFAULT-CDR))
 (54 4 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (32 32 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (28 28 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (25 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (22 22 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-4))
 (22 22 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (20 20 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (18 18 (:REWRITE DEFAULT-<-2))
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 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
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 (1 1 (:REWRITE SUBSETP-REFL))
 )
(NON-FREE-INDEX-LISTP-CORRECTNESS-6-LEMMA-2
 (226 15 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (172 16 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
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 (115 23 (:DEFINITION LEN))
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 (53 41 (:REWRITE DEFAULT-<-2))
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 (37 15 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (34 34 (:REWRITE DEFAULT-CDR))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (23 23 (:REWRITE DEFAULT-+-1))
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 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (15 15 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
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 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (7 7 (:REWRITE NFIX-WHEN-ZP))
 (7 7 (:REWRITE NFIX-WHEN-NATP))
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 )
(INDUCTION-SCHEME
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 (156 3 (:DEFINITION TAKE))
 (156 3 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
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 (95 55 (:REWRITE DEFAULT-+-2))
 (82 82 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (39 32 (:REWRITE DEFAULT-<-2))
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 (32 32 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (30 30 (:TYPE-PRESCRIPTION TAKE))
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 (27 9 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (25 4 (:REWRITE NFIX-WHEN-ZP))
 (21 21 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (16 16 (:LINEAR POSITION-WHEN-MEMBER))
 (16 16 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 (5 5 (:TYPE-PRESCRIPTION ZP))
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 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (3 1 (:DEFINITION NATP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(NON-FREE-INDEX-LISTP-CORRECTNESS-6-LEMMA-3
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 (406 406 (:REWRITE DEFAULT-CAR))
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 (228 76 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-6-LEMMA-2))
 (212 212 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (200 200 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (194 194 (:REWRITE SUBSETP-MEMBER . 4))
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 (194 194 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (194 194 (:REWRITE MEMBER-WHEN-ATOM))
 (194 194 (:REWRITE INTERSECTP-MEMBER . 3))
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 (100 100 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
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 (93 22 (:REWRITE ZP-OPEN))
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 (81 18 (:DEFINITION POSITION-EQUAL-AC))
 (74 44 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (66 22 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
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 (50 50 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (50 50 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
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 (21 21 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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(LOFAT-TO-HIFAT-HELPER-CORRECTNESS-5-LEMMA-3
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(LOFAT-TO-HIFAT-HELPER-CORRECTNESS-5-LEMMA-5
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(LOFAT-TO-HIFAT-HELPER-CORRECTNESS-5-LEMMA-6
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(LOFAT-TO-HIFAT-HELPER-CORRECTNESS-5-LEMMA-7
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 (446 446 (:REWRITE |(equal (- x) 0)|))
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 (324 134 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (324 134 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (300 167 (:REWRITE |(< (+ c x) d)|))
 (280 280 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (280 280 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (280 280 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (268 268 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (252 252 (:REWRITE FOLD-CONSTS-IN-+))
 (250 250 (:REWRITE INTEGERP-MINUS-X))
 (231 88 (:REWRITE FLOOR-COMPLETION))
 (231 88 (:REWRITE FLOOR-CANCEL-*-WEAK))
 (199 88 (:REWRITE FLOOR-MINUS-WEAK))
 (188 88 (:REWRITE FLOOR-MINUS-2))
 (158 158 (:REWRITE |(integerp (* c x))|))
 (154 154 (:REWRITE |(* c (* d x))|))
 (140 140 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (134 134 (:LINEAR POSITION-WHEN-MEMBER))
 (134 134 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (130 130 (:REWRITE |(< 0 (- x))|))
 (120 54 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 3))
 (115 47 (:REWRITE |(< (+ d x) (+ c y))|))
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 (66 66 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
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 )
(LOFAT-TO-HIFAT-HELPER-CORRECTNESS-5
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 (13893 9454 (:REWRITE DEFAULT-+-2))
 (12872 716 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (12448 722 (:DEFINITION MEMBER-EQUAL))
 (12260 9454 (:REWRITE DEFAULT-+-1))
 (11252 1372 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (11157 2011 (:DEFINITION NFIX))
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 (9304 2712 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (8740 2692 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (8714 704 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (8246 7225 (:REWRITE DEFAULT-CDR))
 (8232 8232 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (6970 908 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
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 (5760 2692 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (5256 1752 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (5244 5244 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
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 (608 261 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
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 (300 28 (:REWRITE LEN-OF-FLATTEN-WHEN-D-E-LIST-P))
 (288 288 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (266 76 (:REWRITE STR::CONSP-OF-EXPLODE))
 (226 226 (:TYPE-PRESCRIPTION FAT32$C-P))
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 (192 64 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (168 168 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (140 70 (:REWRITE DEFAULT-*-2))
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 (128 128 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
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 (126 42 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (120 24 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (114 114 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
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 (96 96 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (96 96 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
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 (84 84 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (42 42 (:LINEAR POSITION-WHEN-MEMBER))
 (42 42 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (24 8 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
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 (16 16 (:TYPE-PRESCRIPTION M1-FILE))
 (9 9 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-1
 (718 22 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (449 69 (:REWRITE NFIX-WHEN-ZP))
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 (214 14 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (201 156 (:REWRITE DEFAULT-+-2))
 (198 21 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (178 14 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (156 156 (:REWRITE DEFAULT-+-1))
 (145 14 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (142 14 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (135 37 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (110 7 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (56 54 (:REWRITE DEFAULT-CDR))
 (49 20 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (43 37 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (37 37 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (37 37 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (32 32 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (30 5 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-2))
 (28 2 (:REWRITE LEN-UPDATE-NTH))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (24 6 (:REWRITE MEMBER-WHEN-ATOM))
 (22 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (21 21 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (20 4 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (16 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 14 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (14 14 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
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 (8 8 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
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 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
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 (6 6 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (6 2 (:DEFINITION MAX))
 (4 4 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-2
 (522 21 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (449 12 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (335 135 (:REWRITE NFIX-WHEN-ZP))
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 (257 12 (:REWRITE MEMBER-OF-GENERATE-INDEX-LIST))
 (230 46 (:DEFINITION LEN))
 (216 216 (:REWRITE DEFAULT-+-1))
 (206 9 (:REWRITE LEN-OF-NTHCDR))
 (181 35 (:REWRITE ZP-OPEN))
 (126 21 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-2))
 (118 116 (:REWRITE DEFAULT-<-1))
 (116 116 (:REWRITE DEFAULT-<-2))
 (84 84 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (51 51 (:TYPE-PRESCRIPTION GENERATE-INDEX-LIST))
 (48 12 (:REWRITE MEMBER-WHEN-ATOM))
 (46 46 (:REWRITE DEFAULT-CDR))
 (42 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (21 7 (:DEFINITION NFIX))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (20 5 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (18 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12 12 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE SUBSETP-MEMBER . 1))
 (12 12 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (10 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER))
 (5 5 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-3
 (398 2 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (297 3 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-2))
 (288 3 (:DEFINITION FREE-INDEX-LISTP))
 (243 3 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (129 3 (:REWRITE NFIX-WHEN-ZP))
 (127 4 (:REWRITE ZP-OPEN))
 (126 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (102 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (90 9 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (85 17 (:DEFINITION LEN))
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 (78 3 (:DEFINITION NTHCDR))
 (66 6 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (63 11 (:REWRITE DEFAULT-<-1))
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 (58 41 (:REWRITE DEFAULT-+-2))
 (57 57 (:TYPE-PRESCRIPTION GENERATE-INDEX-LIST))
 (54 6 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (51 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (45 45 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (41 41 (:REWRITE DEFAULT-+-1))
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 (30 12 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (30 6 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (30 3 (:REWRITE NFIX-WHEN-NATP))
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 (18 18 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
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 (12 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE GENERATE-INDEX-LIST-CORRECTNESS-1))
 (12 12 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
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 (6 6 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
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 (6 6 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
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 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (3 3 (:TYPE-PRESCRIPTION ZP))
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 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
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 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-5
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 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-6
 (98955 1 (:DEFINITION HIFAT-TO-LOFAT-HELPER))
 (93372 188 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (92056 188 (:REWRITE COUNT-FREE-CLUSTERS-OF-EFFECTIVE-FAT-OF-HIFAT-TO-LOFAT-HELPER))
 (76573 4 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (71750 77 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (71481 3 (:REWRITE FATI-OF-UPDATE-FATI))
 (48765 106 (:REWRITE MEMBER-OF-GENERATE-INDEX-LIST))
 (42080 488 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (39403 4 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (32408 4 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-2))
 (30733 4 (:REWRITE FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (23319 4 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (22075 5767 (:REWRITE NFIX-WHEN-ZP))
 (21783 10 (:DEFINITION NATP))
 (15433 312 (:REWRITE ZP-OPEN))
 (11124 18 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (10208 385 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-2))
 (9623 100 (:DEFINITION FREE-INDEX-LISTP))
 (9210 8617 (:REWRITE DEFAULT-+-2))
 (8793 21 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (8620 8617 (:REWRITE DEFAULT-+-1))
 (8123 100 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (6710 4 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-1))
 (6365 383 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (3464 1329 (:REWRITE DEFAULT-<-2))
 (3443 1329 (:REWRITE DEFAULT-<-1))
 (3400 200 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (3000 300 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2800 200 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (2344 2344 (:TYPE-PRESCRIPTION GENERATE-INDEX-LIST))
 (2280 380 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2200 200 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1700 100 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1512 189 (:REWRITE ASSOCIATIVITY-OF-+))
 (1167 3 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (1128 188 (:DEFINITION MIN))
 (1044 404 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (892 892 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (800 100 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (681 384 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (585 385 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (500 500 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (422 422 (:TYPE-PRESCRIPTION NAT-LISTP))
 (416 404 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (410 82 (:LINEAR NTH-WHEN-D-E-P))
 (409 106 (:REWRITE MEMBER-WHEN-ATOM))
 (404 404 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (404 404 (:REWRITE GENERATE-INDEX-LIST-CORRECTNESS-1))
 (404 404 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (384 384 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (378 189 (:REWRITE DEFAULT-UNARY-MINUS))
 (327 327 (:TYPE-PRESCRIPTION ZP))
 (321 321 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (220 5 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (210 5 (:REWRITE LOFAT-FS-P-OF-HIFAT-TO-LOFAT-HELPER))
 (200 200 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (200 200 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (200 200 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (200 193 (:REWRITE FOLD-CONSTS-IN-+))
 (198 4 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-3))
 (180 180 (:TYPE-PRESCRIPTION D-E-P))
 (180 180 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (171 137 (:REWRITE DEFAULT-CDR))
 (161 161 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (134 1 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (132 44 (:REWRITE COUNT-OF-CLUSTERS-OF-HIFAT-TO-LOFAT-HELPER))
 (119 117 (:REWRITE DEFAULT-CAR))
 (116 104 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (110 110 (:TYPE-PRESCRIPTION NATP))
 (106 106 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (106 106 (:REWRITE SUBSETP-MEMBER . 4))
 (106 106 (:REWRITE SUBSETP-MEMBER . 3))
 (106 106 (:REWRITE SUBSETP-MEMBER . 2))
 (106 106 (:REWRITE SUBSETP-MEMBER . 1))
 (106 106 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (106 106 (:REWRITE INTERSECTP-MEMBER . 3))
 (106 106 (:REWRITE INTERSECTP-MEMBER . 2))
 (106 106 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (98 49 (:REWRITE COUNT-OF-CLUSTERS-OF-UPDATE-FATI))
 (90 2 (:REWRITE LENGTH-WHEN-STRINGP))
 (90 2 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (78 78 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (68 3 (:DEFINITION LEN))
 (63 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (60 10 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (60 3 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (52 52 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (49 10 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-10))
 (49 5 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (47 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (45 21 (:REWRITE NTH-WHEN-D-E-P . 2))
 (35 1 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (32 5 (:DEFINITION BINARY-APPEND))
 (30 5 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (29 10 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (28 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (28 3 (:DEFINITION MAKE-LIST-AC))
 (27 3 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (26 1 (:LINEAR PAINFUL-DEBUGGING-LEMMA-9))
 (24 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (24 3 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (23 8 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (21 21 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (21 10 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (18 18 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (18 10 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (17 2 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (16 8 (:REWRITE NTH-WHEN-D-E-P . 3))
 (15 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (15 1 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-5))
 (14 14 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (13 13 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 10 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (11 11 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (11 11 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-P))
 (10 10 (:TYPE-PRESCRIPTION CEILING))
 (9 3 (:REWRITE CLUSTER-SIZE-OF-HIFAT-TO-LOFAT-HELPER))
 (7 7 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 1))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (5 5 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (4 2 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (3 3 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (3 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 1 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (3 1 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1))
 (2 1 (:REWRITE DEFAULT-*-2))
 (1 1 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (1 1 (:REWRITE DEFAULT-*-1))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-9
 (5 3 (:REWRITE DEFAULT-+-2))
 (4 3 (:REWRITE DEFAULT-+-1))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-4
 (19 1 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (10 2 (:DEFINITION LEN))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (7 1 (:LINEAR PAINFUL-DEBUGGING-LEMMA-9))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-10
 (399 3 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-2))
 (390 3 (:DEFINITION FREE-INDEX-LISTP))
 (345 3 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (264 14 (:REWRITE NFIX-WHEN-ZP))
 (235 7 (:REWRITE ZP-OPEN))
 (102 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (99 61 (:REWRITE DEFAULT-+-2))
 (90 9 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (84 61 (:REWRITE DEFAULT-+-1))
 (84 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (75 15 (:REWRITE DEFAULT-<-2))
 (66 15 (:REWRITE DEFAULT-<-1))
 (66 6 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (54 54 (:TYPE-PRESCRIPTION GENERATE-INDEX-LIST))
 (51 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (30 12 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (24 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (18 18 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (15 15 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (12 12 (:TYPE-PRESCRIPTION NAT-LISTP))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE GENERATE-INDEX-LIST-CORRECTNESS-1))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 9 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (9 3 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (7 7 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (6 6 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (4 1 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-15
 (274 2 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (152 10 (:DEFINITION LEN))
 (132 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (79 35 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (70 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (64 20 (:REWRITE STR::CONSP-OF-EXPLODE))
 (48 10 (:REWRITE DEFAULT-CDR))
 (48 2 (:REWRITE LENGTH-WHEN-STRINGP))
 (44 2 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (32 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30 30 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (28 28 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (24 24 (:TYPE-PRESCRIPTION STRINGP-OF-GET-CC-CONTENTS))
 (24 10 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (20 10 (:REWRITE DEFAULT-+-2))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12 6 (:REWRITE DEFAULT-<-2))
 (12 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10 10 (:REWRITE DEFAULT-+-1))
 (10 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 2 (:DEFINITION UNSIGNED-BYTE-P))
 (8 4 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (8 2 (:DEFINITION INTEGER-RANGE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 2 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (6 2 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 2))
 (6 2 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER))
 (5 5 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-11
 (98 2 (:DEFINITION LEN))
 (82 3 (:REWRITE ZP-OPEN))
 (74 4 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (48 1 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (12 6 (:REWRITE DEFAULT-<-2))
 (9 6 (:REWRITE SIMPLIFY-SUMS-<))
 (9 6 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (9 6 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (9 5 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (9 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (9 5 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (8 2 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (6 6 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE |(< 0 (- x))|))
 (6 6 (:REWRITE |(< (- x) (- y))|))
 (6 1 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (5 5 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (5 5 (:REWRITE |(equal (- x) (- y))|))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-=-0))
 (4 4 (:REWRITE |(equal (- x) 0)|))
 (4 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-5-LEMMA-6))
 (4 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 1 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (3 1 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3 1 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (2 2 (:TYPE-PRESCRIPTION FAT32$C-P))
 (2 2 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (2 2 (:REWRITE NORMALIZE-ADDENDS))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-12
 (3786 10 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (3040 10 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (2535 12 (:REWRITE CANCEL-FLOOR-+))
 (1857 23 (:REWRITE REDUCE-INTEGERP-+))
 (1716 23 (:META META-INTEGERP-CORRECT))
 (1218 45 (:REWRITE DEFAULT-UNARY-/))
 (710 40 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (324 53 (:REWRITE DEFAULT-+-2))
 (312 12 (:REWRITE FLOOR-ZERO . 3))
 (266 12 (:REWRITE FLOOR-ZERO . 2))
 (224 67 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (215 79 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (161 58 (:REWRITE DEFAULT-*-2))
 (153 69 (:REWRITE DEFAULT-<-2))
 (126 70 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (124 70 (:REWRITE SIMPLIFY-SUMS-<))
 (124 70 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (119 40 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-15))
 (111 68 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (106 68 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (106 68 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (101 41 (:REWRITE DEFAULT-CDR))
 (76 76 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (73 53 (:REWRITE DEFAULT-+-1))
 (71 71 (:REWRITE |(< (- x) (- y))|))
 (71 69 (:REWRITE DEFAULT-<-1))
 (69 69 (:REWRITE |(equal (- x) 0)|))
 (69 69 (:REWRITE |(equal (- x) (- y))|))
 (68 68 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-=-0))
 (67 67 (:TYPE-PRESCRIPTION FAT32$C-P))
 (67 58 (:REWRITE DEFAULT-*-1))
 (65 31 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (63 63 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (61 61 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (61 61 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (61 61 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (60 60 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (58 58 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (57 57 (:REWRITE |(< 0 (- x))|))
 (53 53 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (53 53 (:REWRITE NORMALIZE-ADDENDS))
 (53 1 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (52 12 (:REWRITE FLOOR-ZERO . 4))
 (51 51 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (50 32 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (45 45 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (45 45 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (40 40 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (40 40 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (40 40 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (40 40 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (40 40 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE-2))
 (40 40 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE-1))
 (40 40 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE-2))
 (40 40 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (40 40 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (39 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (39 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (32 32 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (32 32 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (32 32 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (28 28 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (26 12 (:REWRITE FLOOR-MINUS-WEAK))
 (26 12 (:REWRITE FLOOR-MINUS-2))
 (26 12 (:REWRITE FLOOR-COMPLETION))
 (26 12 (:REWRITE FLOOR-CANCEL-*-WEAK))
 (23 23 (:TYPE-PRESCRIPTION NOT-INTEGERP-3D))
 (23 23 (:TYPE-PRESCRIPTION NOT-INTEGERP-2D))
 (23 23 (:TYPE-PRESCRIPTION NOT-INTEGERP-1D))
 (23 23 (:REWRITE INTEGERP-MINUS-X))
 (17 17 (:REWRITE |(integerp (* c x))|))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER))
 (14 14 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (9 9 (:REWRITE |(* c (* d x))|))
 (2 2 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (2 2 (:REWRITE INTEGERP-+-REDUCE-LEADING-RATIONAL-CONSTANT))
 (2 1 (:REWRITE |(< (+ c x) d)|))
 (2 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-13
 (3957 235 (:DEFINITION LEN))
 (3656 65 (:REWRITE CANCEL-FLOOR-+))
 (3579 138 (:REWRITE DEFAULT-UNARY-/))
 (2254 65 (:REWRITE FLOOR-ZERO . 3))
 (1991 1142 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-15))
 (1909 65 (:REWRITE FLOOR-ZERO . 4))
 (1578 264 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1142 1142 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (1142 1142 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (1142 1142 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (1142 1142 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (1142 1142 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE-2))
 (1142 1142 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE-1))
 (1142 1142 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE-2))
 (1142 1142 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (1142 1142 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (1112 31 (:LINEAR FLOOR-BOUNDS-2))
 (1064 31 (:LINEAR PAINFUL-DEBUGGING-LEMMA-15))
 (951 65 (:REWRITE FLOOR-ZERO . 2))
 (919 318 (:REWRITE DEFAULT-+-2))
 (887 291 (:REWRITE DEFAULT-*-2))
 (786 209 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (783 209 (:REWRITE SIMPLIFY-SUMS-<))
 (783 209 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (727 235 (:REWRITE DEFAULT-CDR))
 (710 710 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (710 710 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (710 710 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (688 203 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (660 423 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (660 423 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (660 423 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (623 96 (:META META-INTEGERP-CORRECT))
 (578 209 (:REWRITE DEFAULT-<-2))
 (505 318 (:REWRITE DEFAULT-+-1))
 (477 115 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (424 212 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (423 423 (:REWRITE |(equal (- x) (- y))|))
 (420 209 (:REWRITE DEFAULT-<-1))
 (414 414 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (414 291 (:REWRITE DEFAULT-*-1))
 (396 150 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (318 318 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (318 318 (:REWRITE NORMALIZE-ADDENDS))
 (300 150 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (291 291 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (273 273 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-=-0))
 (273 273 (:REWRITE |(equal (- x) 0)|))
 (246 246 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (243 27 (:REWRITE LEN-OF-FLATTEN-WHEN-D-E-LIST-P))
 (233 74 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (228 228 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (220 22 (:REWRITE |(< d (+ c x))|))
 (218 218 (:TYPE-PRESCRIPTION NOT-INTEGERP-3D))
 (218 218 (:TYPE-PRESCRIPTION NOT-INTEGERP-2D))
 (218 218 (:TYPE-PRESCRIPTION NOT-INTEGERP-1D))
 (209 209 (:REWRITE |(< (- x) (- y))|))
 (203 203 (:TYPE-PRESCRIPTION FAT32$C-P))
 (198 11 (:REWRITE |(< d (+ c x y))|))
 (181 67 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (181 67 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (167 65 (:REWRITE FLOOR-MINUS-WEAK))
 (167 65 (:REWRITE FLOOR-MINUS-2))
 (167 65 (:REWRITE FLOOR-COMPLETION))
 (167 65 (:REWRITE FLOOR-CANCEL-*-WEAK))
 (141 141 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (138 138 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (136 136 (:REWRITE |arith (* c (* d x))|))
 (134 134 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (131 63 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (108 108 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (108 108 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (108 108 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (96 96 (:REWRITE REDUCE-INTEGERP-+))
 (96 96 (:REWRITE INTEGERP-MINUS-X))
 (85 85 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (85 85 (:REWRITE |(< 0 (- x))|))
 (84 84 (:REWRITE |(integerp (* c x))|))
 (67 67 (:LINEAR POSITION-WHEN-MEMBER))
 (67 67 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (63 63 (:REWRITE |arith (* (- x) y)|))
 (61 61 (:REWRITE |(* c (* d x))|))
 (54 54 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (54 54 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (53 1 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (46 46 (:REWRITE ARITH-NORMALIZE-ADDENDS))
 (34 34 (:REWRITE |arith (- (* c x))|))
 (27 27 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (20 20 (:REWRITE |(< 0 (* x y))|))
 (14 14 (:REWRITE |(+ c (+ d x))|))
 (14 1 (:LINEAR LOFAT-TO-HIFAT-INVERSION-LEMMA-12))
 (11 11 (:REWRITE FOLD-CONSTS-IN-+))
 (4 4 (:REWRITE |arith (+ c (+ d x))|))
 )
(LOFAT-TO-HIFAT-INVERSION-LEMMA-14
 (1520247 1486 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (1039418 92 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (921334 8716 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (499213 88 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT))
 (429402 99307 (:REWRITE NFIX-WHEN-ZP))
 (427876 22 (:REWRITE FATI-OF-UPDATE-FATI))
 (397136 70 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-2))
 (329082 1743 (:REWRITE MEMBER-OF-GENERATE-INDEX-LIST))
 (300792 180434 (:REWRITE DEFAULT-+-2))
 (268787 488 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (244116 460 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (240946 180434 (:REWRITE DEFAULT-+-1))
 (205587 7056 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (184784 34 (:REWRITE FATI-OF-STOBJ-SET-INDICES-IN-FA-TABLE))
 (157615 70 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-1))
 (152622 8850 (:DEFINITION NFIX))
 (138565 34 (:REWRITE STOBJ-SET-INDICES-IN-FA-TABLE-OF-STOBJ-SET-INDICES-IN-FA-TABLE-LEMMA-1))
 (90243 6686 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (52417 33469 (:REWRITE DEFAULT-<-2))
 (51379 33469 (:REWRITE DEFAULT-<-1))
 (23390 291 (:REWRITE FAT-LENGTH-OF-HIFAT-TO-LOFAT-HELPER))
 (15100 15100 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (13850 3959 (:REWRITE DEFAULT-CDR))
 (12225 6705 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (11748 110 (:REWRITE HIFAT-TO-LOFAT-HELPER-GUARD-LEMMA-3))
 (10967 10967 (:TYPE-PRESCRIPTION GENERATE-INDEX-LIST))
 (10885 5269 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (7750 1550 (:LINEAR NTH-WHEN-D-E-P))
 (7568 22 (:REWRITE FATI-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (7532 269 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (6946 1783 (:REWRITE MEMBER-WHEN-ATOM))
 (6460 3230 (:REWRITE DEFAULT-UNARY-MINUS))
 (6209 70 (:REWRITE HIFAT-TO-LOFAT-HELPER-CORRECTNESS-5-LEMMA-3))
 (5670 630 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (5203 2590 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (4693 361 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3716 3716 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3506 3506 (:TYPE-PRESCRIPTION D-E-P))
 (3497 269 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3370 3370 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2823 941 (:REWRITE COUNT-OF-CLUSTERS-OF-HIFAT-TO-LOFAT-HELPER))
 (2787 929 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2787 929 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2438 46 (:REWRITE LENGTH-WHEN-STRINGP))
 (2010 1005 (:REWRITE COUNT-OF-CLUSTERS-OF-UPDATE-FATI))
 (1896 1896 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (1858 1858 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1783 1783 (:REWRITE SUBSETP-MEMBER . 4))
 (1783 1783 (:REWRITE SUBSETP-MEMBER . 3))
 (1783 1783 (:REWRITE SUBSETP-MEMBER . 2))
 (1783 1783 (:REWRITE SUBSETP-MEMBER . 1))
 (1783 1783 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1783 1783 (:REWRITE INTERSECTP-MEMBER . 3))
 (1783 1783 (:REWRITE INTERSECTP-MEMBER . 2))
 (1783 1783 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1555 17 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (1495 115 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1442 8 (:DEFINITION FREE-INDEX-LISTP))
 (1357 92 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1035 115 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1034 8 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (929 929 (:LINEAR POSITION-WHEN-MEMBER))
 (929 929 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (909 431 (:REWRITE DEFAULT-CAR))
 (844 488 (:REWRITE NTH-WHEN-D-E-P . 2))
 (824 824 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (806 117 (:DEFINITION BINARY-APPEND))
 (776 136 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (759 69 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (630 630 (:TYPE-PRESCRIPTION M1-FILE-P))
 (583 140 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (538 538 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (538 43 (:DEFINITION MAKE-LIST-AC))
 (514 195 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (512 512 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (499 499 (:TYPE-PRESCRIPTION NAT-LISTP))
 (488 488 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (488 234 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (483 46 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (460 460 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (457 214 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (453 453 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (437 46 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (430 14 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (416 20 (:DEFINITION MEMBER-EQUAL))
 (408 136 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (408 136 (:REWRITE D-E-P-OF-D-E-INSTALL-DIRECTORY-BIT . 2))
 (405 39 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (322 322 (:TYPE-PRESCRIPTION D-E-INSTALL-DIRECTORY-BIT))
 (319 135 (:REWRITE NTH-WHEN-D-E-P . 3))
 (314 40 (:REWRITE SUBSETP-CAR-MEMBER))
 (295 295 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (291 291 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (272 226 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (269 269 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (240 16 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (192 96 (:REWRITE DEFAULT-*-2))
 (186 186 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (186 186 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (144 16 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (138 138 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (136 136 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (136 136 (:TYPE-PRESCRIPTION ATOM))
 (136 136 (:REWRITE D-E-P-OF-D-E-SET-FILENAME . 1))
 (124 31 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (124 31 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (112 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (97 40 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (97 40 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (96 96 (:REWRITE DEFAULT-*-1))
 (93 93 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (92 23 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (80 16 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (69 69 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (56 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (40 40 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (40 1 (:DEFINITION NO-DUPLICATES-LISTP))
 (31 31 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (31 31 (:REWRITE GENERATE-INDEX-LIST-CORRECTNESS-1))
 (31 31 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (24 24 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (24 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FAT32-BUILD-INDEX-LIST))
 (23 23 (:TYPE-PRESCRIPTION FAT32$C-P))
 (19 19 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (19 19 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-8))
 (16 16 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (16 16 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (14 14 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (14 14 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (14 14 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (14 14 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (11 1 (:REWRITE NO-DUPLICATESP-OF-FLATTEN-OF-LOFAT-TO-HIFAT-HELPER))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (4 1 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (1 1 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 )
(LOFAT-EQUIV)
(LOFAT-EQUIV-IS-AN-EQUIVALENCE
 (216 44 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 )
(LOFAT-TO-HIFAT-INVERSION
 (27 7 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 )