(LOFAT-MKDIR-REFINEMENT-LEMMA-14
 (289000 136308 (:REWRITE DEFAULT-+-2))
 (264435 181937 (:REWRITE DEFAULT-CDR))
 (255968 971 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (242944 12211 (:DEFINITION FIND-D-E))
 (169878 3388 (:DEFINITION NATP))
 (169194 136308 (:REWRITE DEFAULT-+-1))
 (132664 4916 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (104520 8913 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (85416 51885 (:REWRITE DEFAULT-<-1))
 (84417 51885 (:REWRITE DEFAULT-<-2))
 (75724 75724 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (68471 68471 (:TYPE-PRESCRIPTION LOFAT-FILE-CONTENTS-FIX))
 (65669 63093 (:REWRITE DEFAULT-CAR))
 (63695 63695 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (63075 12380 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (62327 21203 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (58228 58228 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (57565 973 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (52010 3944 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (46731 9965 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (43173 9191 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (40256 3944 (:REWRITE D-E-CC-CORRECTNESS-1))
 (38497 38497 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (38446 18983 (:REWRITE DEFAULT-*-2))
 (37862 37862 (:LINEAR POSITION-WHEN-MEMBER))
 (37862 37862 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (37862 37862 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (37862 37862 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (37002 26770 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (32870 32870 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (31488 31488 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (29253 1005 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (27546 27546 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (26840 26840 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (26100 10655 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (24222 10977 (:REWRITE DEFAULT-UNARY-MINUS))
 (23576 7734 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (22664 22664 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (20454 3373 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (18983 18983 (:REWRITE DEFAULT-*-1))
 (17013 17013 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (16836 5612 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (14960 448 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (14762 1269 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (13332 4444 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (12111 8913 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (12002 204 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (11720 11720 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (9693 224 (:DEFINITION INTEGER-LISTP))
 (8283 2761 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (7920 517 (:REWRITE SUBSETP-CAR-MEMBER))
 (7708 5770 (:TYPE-PRESCRIPTION LAST))
 (7588 1473 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6818 6818 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6784 169 (:DEFINITION PLACE-D-E))
 (6413 1954 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6255 264 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (5651 408 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (5269 1005 (:REWRITE NTH-WHEN-D-E-P . 2))
 (4865 1946 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4840 4840 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (4776 4776 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (4196 3484 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (3838 610 (:REWRITE CONSP-OF-LAST))
 (3656 668 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (3630 2420 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (3500 1034 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (3409 3409 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3388 3388 (:TYPE-PRESCRIPTION NATP))
 (2977 20 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2970 390 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (2943 871 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (2068 2068 (:TYPE-PRESCRIPTION FAT32$C-P))
 (1946 1946 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1946 1946 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1824 792 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (1692 1098 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-81))
 (1536 384 (:DEFINITION BINARY-APPEND))
 (1324 264 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1304 244 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1251 169 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (1156 1156 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1050 842 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1050 842 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1005 1005 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (973 973 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (973 973 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (842 842 (:REWRITE SUBSETP-TRANS2))
 (842 842 (:REWRITE SUBSETP-TRANS))
 (816 816 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (768 768 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (712 712 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (642 214 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (578 578 (:REWRITE SUBSETP-MEMBER . 2))
 (578 578 (:REWRITE SUBSETP-MEMBER . 1))
 (507 169 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (480 48 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (438 120 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (368 368 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (264 264 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (244 244 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (244 244 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (216 36 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (214 214 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (177 177 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (169 169 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (96 96 (:REWRITE SUBSETP-NIL))
 (96 96 (:REWRITE SET-EQUIV-OF-NIL))
 (40 20 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (36 12 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (36 12 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (28 12 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (6 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-78))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-15
 (10536 64 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (6488 256 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (4400 220 (:DEFINITION FIND-D-E))
 (4148 444 (:DEFINITION LEN))
 (2800 164 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (2688 64 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (2496 16 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (2408 252 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2304 16 (:DEFINITION FREE-INDEX-LISTP))
 (2064 16 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1660 60 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (1620 164 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (1608 764 (:REWRITE DEFAULT-+-2))
 (1588 120 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1416 236 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1368 216 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (1364 580 (:REWRITE DEFAULT-<-2))
 (1296 64 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1224 248 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (1148 16 (:DEFINITION INTEGER-LISTP))
 (1076 922 (:REWRITE DEFAULT-CDR))
 (1056 32 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (992 992 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (960 32 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (944 944 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (928 24 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (916 916 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (916 580 (:REWRITE DEFAULT-<-1))
 (900 24 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (892 32 (:REWRITE NFIX-WHEN-ZP))
 (888 888 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (848 848 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (788 252 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (780 764 (:REWRITE DEFAULT-+-1))
 (768 256 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (744 248 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (744 248 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (704 32 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (648 12 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (640 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (576 576 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (548 378 (:REWRITE DEFAULT-CAR))
 (544 88 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (544 16 (:DEFINITION PLACE-D-E))
 (536 536 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (524 372 (:TYPE-PRESCRIPTION LAST))
 (520 88 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (512 32 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (496 496 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (432 132 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (412 32 (:REWRITE NFIX-WHEN-NATP))
 (400 128 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (400 120 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (384 32 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (368 368 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (368 96 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (352 64 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (316 316 (:TYPE-PRESCRIPTION D-E-P))
 (312 104 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (288 96 (:REWRITE DEFAULT-*-2))
 (284 60 (:REWRITE CONSP-OF-LAST))
 (268 268 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (264 12 (:DEFINITION NATP))
 (256 256 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (256 64 (:DEFINITION BINARY-APPEND))
 (256 32 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (252 252 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (252 252 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (248 248 (:LINEAR POSITION-WHEN-MEMBER))
 (248 248 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (240 240 (:TYPE-PRESCRIPTION FAT32$C-P))
 (224 224 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (216 24 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (192 192 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (192 64 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (192 32 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (164 164 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (160 128 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (160 64 (:REWRITE STR::CONSP-OF-EXPLODE))
 (160 32 (:REWRITE NTH-WHEN-D-E-P . 2))
 (160 32 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (160 16 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (156 156 (:TYPE-PRESCRIPTION NAT-LISTP))
 (152 88 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (132 44 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (128 128 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (128 128 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (128 128 (:TYPE-PRESCRIPTION ATOM))
 (128 128 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (128 16 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (124 124 (:TYPE-PRESCRIPTION ZP))
 (120 32 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (112 112 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (108 24 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (104 20 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (104 8 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (96 96 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (96 96 (:REWRITE DEFAULT-*-1))
 (96 64 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (96 32 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (96 16 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (88 88 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (84 84 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (84 12 (:DEFINITION NFIX))
 (80 80 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (64 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (64 16 (:REWRITE D-E-CC-CORRECTNESS-1))
 (64 16 (:REWRITE COMMUTATIVITY-OF-+))
 (60 16 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (56 56 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (50 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-36))
 (48 48 (:TYPE-PRESCRIPTION NFIX))
 (48 48 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (48 48 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (48 32 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (48 16 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (48 16 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (48 8 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (32 32 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (32 32 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (32 32 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (32 32 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (32 32 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (28 28 (:TYPE-PRESCRIPTION NATP))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (24 24 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (24 24 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (24 24 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (24 24 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (24 8 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (24 4 (:REWRITE D-E-FIRST-CLUSTER-OF-D-E-INSTALL-DIRECTORY-BIT))
 (20 20 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (20 20 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (20 4 (:REWRITE D-E-FIRST-CLUSTER-OF-MAKE-D-E-WITH-FILENAME))
 (18 6 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (16 16 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (16 16 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 4 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 3))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 4 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (4 4 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (4 4 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (4 4 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-1
 (396729 29 (:DEFINITION LOFAT-PLACE-FILE))
 (162057 910 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (153455 280 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (103814 2371 (:REWRITE ZP-OPEN))
 (103278 9743 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (102392 484 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (96475 883 (:DEFINITION NATP))
 (91768 2905 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (81018 282 (:REWRITE EFFECTIVE-FAT-OF-UPDATE-FATI))
 (79209 2736 (:REWRITE NFIX-WHEN-ZP))
 (68824 4974 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (68370 11327 (:DEFINITION MIN))
 (64890 280 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-COINCIDENT))
 (54131 54131 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (45360 210 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (41906 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (38402 2006 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
 (36218 23120 (:REWRITE DEFAULT-<-1))
 (35694 48 (:REWRITE COUNT-FREE-CLUSTERS-OF-UPDATE-NTH))
 (33384 174 (:REWRITE LEN-OF-NATS=>CHARS))
 (33210 174 (:REWRITE LEN-OF-INSERT-D-E))
 (28970 105 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (28456 23120 (:REWRITE DEFAULT-<-2))
 (27885 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (27738 1459 (:DEFINITION FIND-D-E))
 (24364 1853 (:DEFINITION LEN))
 (24359 1721 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (23916 483 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (22488 174 (:REWRITE LEN-OF-PLACE-D-E))
 (22403 96 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (21589 180 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (21365 116 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (17860 1087 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (17823 9324 (:REWRITE DEFAULT-+-2))
 (17726 1702 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (17187 223 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (15696 1807 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (15580 3116 (:LINEAR NTH-WHEN-D-E-P))
 (15117 7545 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (15010 258 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (14910 5437 (:REWRITE DEFAULT-CDR))
 (12610 12610 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (11937 313 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (11690 881 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (11518 9324 (:REWRITE DEFAULT-+-1))
 (10883 116 (:DEFINITION INTEGER-LISTP))
 (10635 401 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (10389 1087 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (10189 10189 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (10152 282 (:DEFINITION UPDATE-NTH))
 (9658 1558 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (9443 497 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (8761 61 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (8642 1633 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (8468 522 (:REWRITE CONSP-OF-LAST))
 (8418 257 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (7986 7986 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (7011 2738 (:REWRITE DEFAULT-CAR))
 (6620 174 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (6126 6126 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (5769 1807 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (5749 87 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (5676 174 (:DEFINITION PLACE-D-E))
 (5461 658 (:REWRITE STR::CONSP-OF-EXPLODE))
 (5333 5333 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (5262 175 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (5084 1073 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (4685 78 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (4553 1721 (:REWRITE NTH-WHEN-D-E-P . 2))
 (4438 4438 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (4408 29 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (4380 980 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (4379 2668 (:TYPE-PRESCRIPTION LAST))
 (4097 4097 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (4082 228 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (3392 1834 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (3168 1584 (:TYPE-PRESCRIPTION MIN))
 (3040 1126 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (2972 344 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2919 343 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2813 58 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (2610 2610 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (2502 29 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2338 702 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2304 630 (:REWRITE DEFAULT-*-2))
 (2268 912 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (2266 2266 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (2264 2264 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (2262 174 (:REWRITE DISTRIBUTIVITY))
 (2124 236 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
 (2104 2104 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2077 329 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1911 13 (:DEFINITION FREE-INDEX-LISTP))
 (1807 1807 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (1744 247 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (1686 1686 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (1653 174 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1627 247 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 3))
 (1624 145 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1578 526 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1578 526 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1568 175 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1516 307 (:DEFINITION BINARY-APPEND))
 (1508 58 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (1488 1488 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (1452 36 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (1348 1348 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1321 1321 (:TYPE-PRESCRIPTION ZP))
 (1276 685 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1272 174 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (1258 864 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1126 1126 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1073 116 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1073 116 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1052 1052 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1046 614 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1020 36 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (1000 100 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (987 987 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (950 950 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (930 302 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (912 912 (:TYPE-PRESCRIPTION NAT-LISTP))
 (899 29 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (896 896 (:TYPE-PRESCRIPTION NATP))
 (876 688 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (841 841 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (747 57 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (724 3 (:REWRITE HIFAT-ENTRY-COUNT-OF-HIFAT-PLACE-FILE))
 (702 702 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (702 702 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (651 651 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (648 13 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (630 630 (:REWRITE DEFAULT-*-1))
 (591 591 (:REWRITE NTH-WHEN-D-E-P . 3))
 (564 282 (:REWRITE FAT32-UPDATE-LOWER-28-CORRECTNESS-1 . 1))
 (550 5 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (534 496 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (527 527 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (526 526 (:LINEAR POSITION-WHEN-MEMBER))
 (526 526 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (522 174 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (522 174 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (518 518 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (497 497 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (468 223 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (456 456 (:TYPE-PRESCRIPTION ATOM))
 (438 19 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (429 429 (:TYPE-PRESCRIPTION FAT32$C-P))
 (420 10 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (401 155 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (398 199 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (385 385 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (384 384 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (380 76 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (348 348 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (348 348 (:REWRITE D-E-FILENAME-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (348 174 (:REWRITE STR-FIX-WHEN-STRINGP))
 (336 26 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (322 322 (:REWRITE SUBSETP-MEMBER . 2))
 (322 322 (:REWRITE SUBSETP-MEMBER . 1))
 (319 319 (:TYPE-PRESCRIPTION NATS=>STRING))
 (290 58 (:REWRITE SUBSETP-CAR-MEMBER))
 (290 29 (:REWRITE D-E-FIRST-CLUSTER-OF-D-E-INSTALL-DIRECTORY-BIT))
 (290 15 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (287 287 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (280 280 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (261 29 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (261 29 (:REWRITE D-E-FIRST-CLUSTER-OF-MAKE-D-E-WITH-FILENAME))
 (241 26 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (232 29 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (210 210 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (201 201 (:TYPE-PRESCRIPTION LENGTH))
 (200 200 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (184 184 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (174 174 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (174 174 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (161 8 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-31))
 (154 26 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (149 149 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (145 145 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (145 145 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (142 142 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (132 22 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (132 18 (:DEFINITION NFIX))
 (130 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (120 120 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (116 116 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (116 116 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (116 116 (:REWRITE SUBSETP-TRANS2))
 (116 116 (:REWRITE SUBSETP-TRANS))
 (105 4 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (104 4 (:DEFINITION LENGTH))
 (96 48 (:REWRITE FAT32-ENTRY-MASK-OF-FAT32-UPDATE-LOWER-28))
 (95 95 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (93 93 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (84 84 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (84 12 (:REWRITE FOLD-CONSTS-IN-+))
 (78 78 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (65 15 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (63 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (62 62 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (60 36 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (59 19 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (58 58 (:REWRITE INTERSECTP-MEMBER . 1))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (58 58 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (58 29 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (55 55 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (54 15 (:REWRITE UNICITY-OF-0))
 (54 14 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (52 12 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (49 13 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (40 40 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (40 40 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (39 15 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (36 36 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (31 26 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (31 26 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (29 29 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (27 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (27 3 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (26 26 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (26 26 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (26 26 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (26 26 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (25 25 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (25 25 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (25 25 (:REWRITE FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (20 20 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (20 20 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (20 20 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (19 19 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-2))
 (19 19 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (19 19 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (19 19 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (19 19 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (19 19 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (18 4 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2))
 (15 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (14 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (12 4 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
 (12 4 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-66))
 (10 10 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (10 10 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (9 9 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (8 8 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (6 3 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER))
 (3 1 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (2 2 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (1 1 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (1 1 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 )
(LEMMA-1
 (43699 6 (:DEFINITION LOFAT-PLACE-FILE))
 (10740 96 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (8676 384 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (7653 799 (:DEFINITION LEN))
 (6256 330 (:DEFINITION FIND-D-E))
 (4723 90 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (4674 426 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (4560 24 (:REWRITE LEN-OF-NATS=>CHARS))
 (4536 24 (:REWRITE LEN-OF-INSERT-D-E))
 (4040 246 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (3258 378 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (3072 24 (:REWRITE LEN-OF-PLACE-D-E))
 (2624 1243 (:REWRITE DEFAULT-+-2))
 (2474 199 (:REWRITE ZP-OPEN))
 (2402 90 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (2350 246 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (2262 318 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (2250 2250 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (2118 87 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1969 84 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1879 1489 (:REWRITE DEFAULT-CDR))
 (1788 366 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (1770 354 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1681 24 (:DEFINITION INTEGER-LISTP))
 (1616 1616 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1584 48 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (1564 398 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (1548 48 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1398 450 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1387 307 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1383 689 (:REWRITE DEFAULT-<-2))
 (1376 48 (:DEFINITION LENGTH))
 (1351 36 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (1344 1344 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (1332 1332 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (1321 36 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1280 132 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (1249 1243 (:REWRITE DEFAULT-+-1))
 (1212 404 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1212 404 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1066 1066 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (1056 48 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (972 18 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (960 960 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (931 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (852 96 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-1))
 (840 96 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-COINCIDENT))
 (824 689 (:REWRITE DEFAULT-<-1))
 (816 816 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (808 808 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (804 804 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (792 540 (:REWRITE DEFAULT-CAR))
 (786 558 (:TYPE-PRESCRIPTION LAST))
 (780 132 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (768 24 (:DEFINITION PLACE-D-E))
 (701 189 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (696 120 (:REWRITE LOFAT-REGULAR-FILE-P-CORRECTNESS-1))
 (644 512 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (618 618 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (618 618 (:TYPE-PRESCRIPTION LOFAT-DIRECTORY-FILE-P))
 (588 588 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (576 192 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (552 552 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (552 144 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (552 102 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (546 546 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (528 96 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (522 522 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (516 516 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (507 507 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (498 6 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (496 176 (:REWRITE DEFAULT-*-2))
 (474 474 (:TYPE-PRESCRIPTION D-E-P))
 (456 132 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (426 90 (:REWRITE CONSP-OF-LAST))
 (426 6 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (408 408 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (398 398 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (398 398 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (398 398 (:LINEAR POSITION-WHEN-MEMBER))
 (398 398 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (384 96 (:DEFINITION BINARY-APPEND))
 (378 378 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (354 354 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (354 236 (:REWRITE STR::CONSP-OF-EXPLODE))
 (324 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (312 24 (:REWRITE DISTRIBUTIVITY))
 (288 288 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (288 96 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (268 98 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (264 264 (:TYPE-PRESCRIPTION FAT32$C-P))
 (256 256 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (256 256 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (240 192 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (240 48 (:REWRITE NTH-WHEN-D-E-P . 2))
 (240 24 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (228 132 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (222 222 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (198 66 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (192 192 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (192 192 (:TYPE-PRESCRIPTION ATOM))
 (192 192 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (180 48 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (180 6 (:REWRITE NFIX-WHEN-ZP))
 (176 176 (:REWRITE DEFAULT-*-1))
 (168 24 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (162 36 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (156 30 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (156 6 (:REWRITE NFIX-WHEN-NATP))
 (150 150 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (144 144 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (144 96 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (132 6 (:DEFINITION NATP))
 (129 21 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (118 118 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (114 114 (:TYPE-PRESCRIPTION NAT-LISTP))
 (108 36 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (103 103 (:TYPE-PRESCRIPTION ZP))
 (102 6 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (96 96 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (96 96 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (96 24 (:REWRITE D-E-CC-CORRECTNESS-1))
 (90 24 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (77 14 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (72 72 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (72 72 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (72 72 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (72 24 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (72 24 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (70 70 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (62 62 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (60 10 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (57 19 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (56 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (52 52 (:REWRITE LOFAT-FILE-CONTENTS-FIX-WHEN-LOFAT-FILE-CONTENTS-P))
 (48 48 (:TYPE-PRESCRIPTION NFIX))
 (48 48 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (48 48 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (48 48 (:REWRITE D-E-FILENAME-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (48 48 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (48 24 (:REWRITE STR-FIX-WHEN-STRINGP))
 (42 6 (:DEFINITION NFIX))
 (40 6 (:REWRITE D-E-FIRST-CLUSTER-OF-D-E-INSTALL-DIRECTORY-BIT))
 (36 36 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (36 12 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (36 12 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (34 6 (:REWRITE D-E-FIRST-CLUSTER-OF-MAKE-D-E-WITH-FILENAME))
 (30 30 (:REWRITE SUBSETP-MEMBER . 2))
 (30 30 (:REWRITE SUBSETP-MEMBER . 1))
 (30 30 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (30 30 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (24 24 (:TYPE-PRESCRIPTION NATS=>STRING))
 (24 24 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (24 24 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (24 24 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (24 24 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (24 6 (:REWRITE COMMUTATIVITY-OF-+))
 (24 2 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (22 22 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (21 7 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (20 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (15 3 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 12 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (12 12 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (12 12 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (12 12 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (12 6 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (12 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (11 11 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (10 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (9 5 (:REWRITE GOOD-ROOT-D-E-P-OF-PSEUDO-ROOT-D-E))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (8 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-1))
 (8 2 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (6 6 (:REWRITE LOFAT-FILE-CONTENTS-P-WHEN-D-E-LISTP))
 (6 2 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (6 2 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (6 2 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (5 5 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (3 3 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (3 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-2
 (367633 26 (:DEFINITION LOFAT-PLACE-FILE))
 (177170 916 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (160480 256 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (109634 492 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (104230 9764 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (94875 1880 (:REWRITE ZP-OPEN))
 (92524 300 (:REWRITE EFFECTIVE-FAT-OF-UPDATE-FATI))
 (91996 2916 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (89622 822 (:DEFINITION NATP))
 (89458 2558 (:REWRITE NFIX-WHEN-NATP))
 (79496 2558 (:REWRITE NFIX-WHEN-ZP))
 (69528 5000 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (69468 11396 (:DEFINITION MIN))
 (59328 256 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-COINCIDENT))
 (54436 54436 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (45724 56 (:REWRITE COUNT-FREE-CLUSTERS-OF-UPDATE-NTH))
 (41472 192 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (39148 1996 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
 (35424 22437 (:REWRITE DEFAULT-<-1))
 (26652 22437 (:REWRITE DEFAULT-<-2))
 (26522 96 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (24536 1732 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (21527 398 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (19625 1030 (:DEFINITION FIND-D-E))
 (16740 1612 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (16173 8360 (:REWRITE DEFAULT-+-2))
 (16140 84 (:REWRITE LEN-OF-NATS=>CHARS))
 (16056 84 (:REWRITE LEN-OF-INSERT-D-E))
 (15841 1454 (:DEFINITION LEN))
 (15560 3112 (:LINEAR NTH-WHEN-D-E-P))
 (13312 208 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (12696 332 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (12410 766 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (11408 11408 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (10986 4232 (:REWRITE DEFAULT-CDR))
 (10872 84 (:REWRITE LEN-OF-PLACE-D-E))
 (10800 300 (:DEFINITION UPDATE-NTH))
 (10727 1198 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (10431 8360 (:REWRITE DEFAULT-+-1))
 (10330 758 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (10322 56 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (10088 7604 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (10024 56 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (9980 1556 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (9956 524 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (9889 104 (:DEFINITION INTEGER-LISTP))
 (9798 874 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (8368 8368 (:TYPE-PRESCRIPTION NFIX))
 (8232 56 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (7592 468 (:REWRITE CONSP-OF-LAST))
 (7553 188 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (7530 290 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (7235 766 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (6778 6778 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (6251 6251 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (6067 156 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (6019 1114 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (5982 2014 (:REWRITE DEFAULT-CAR))
 (5954 78 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (5321 705 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4878 678 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (4845 156 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (4612 1732 (:REWRITE NTH-WHEN-D-E-P . 2))
 (4448 4448 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (4134 1322 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (4092 4092 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (3998 842 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (3926 2392 (:TYPE-PRESCRIPTION LAST))
 (3826 1206 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3801 3801 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (3775 798 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (3716 320 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (3412 822 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (3328 3328 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (3264 1632 (:TYPE-PRESCRIPTION MIN))
 (3168 64 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (2972 380 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (2748 84 (:DEFINITION PLACE-D-E))
 (2700 2700 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (2652 2652 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2624 266 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2532 124 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (2473 123 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (2375 26 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2304 256 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
 (2180 2180 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (2174 2174 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (2128 14 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (2096 152 (:REWRITE LOFAT-REGULAR-FILE-P-CORRECTNESS-1))
 (1989 663 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1989 663 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1872 936 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (1702 232 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (1700 1700 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (1688 648 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (1624 232 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 3))
 (1532 1532 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (1526 511 (:REWRITE DEFAULT-*-2))
 (1512 352 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1482 156 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1456 130 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1450 118 (:REWRITE LOFAT-FILE-CONTENTS-P-WHEN-D-E-LISTP))
 (1381 21 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (1376 1376 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1358 28 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1348 724 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1326 1326 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1322 1322 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (1296 48 (:DEFINITION LENGTH))
 (1290 1290 (:TYPE-PRESCRIPTION LOFAT-DIRECTORY-FILE-P))
 (1268 1268 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (1266 1266 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (1242 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (1224 2 (:REWRITE HIFAT-ENTRY-COUNT-OF-HIFAT-PLACE-FILE))
 (1206 1206 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1206 1206 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1200 1200 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (1200 264 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1143 706 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1132 812 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1132 230 (:DEFINITION BINARY-APPEND))
 (1092 84 (:REWRITE DISTRIBUTIVITY))
 (1059 1059 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1040 104 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (1004 1004 (:TYPE-PRESCRIPTION ZP))
 (940 940 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (928 728 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (925 317 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (888 296 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (842 842 (:TYPE-PRESCRIPTION NAT-LISTP))
 (822 822 (:TYPE-PRESCRIPTION NATP))
 (806 109 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (778 460 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (775 775 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (734 734 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (728 28 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (724 3 (:REWRITE M1-REGULAR-FILE-P-OF-M1-FILE))
 (686 13 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (672 84 (:DEFINITION NFIX))
 (648 648 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (635 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (624 624 (:REWRITE NTH-WHEN-D-E-P . 3))
 (618 84 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (600 300 (:REWRITE FAT32-UPDATE-LOWER-28-CORRECTNESS-1 . 1))
 (596 596 (:LINEAR POSITION-WHEN-MEMBER))
 (596 596 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (580 580 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (580 580 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (577 577 (:REWRITE SUBSETP-MEMBER . 2))
 (577 577 (:REWRITE SUBSETP-MEMBER . 1))
 (544 544 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (540 504 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (524 524 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (524 524 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (518 56 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (518 56 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (511 511 (:REWRITE DEFAULT-*-1))
 (448 448 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (434 14 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (416 104 (:REWRITE D-E-CC-CORRECTNESS-1))
 (392 196 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (374 353 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (352 352 (:TYPE-PRESCRIPTION FAT32$C-P))
 (336 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (312 312 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (312 312 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (300 300 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (260 52 (:REWRITE SUBSETP-CAR-MEMBER))
 (260 26 (:REWRITE D-E-FIRST-CLUSTER-OF-D-E-INSTALL-DIRECTORY-BIT))
 (256 256 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (252 84 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (252 84 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (248 248 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (242 242 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (238 14 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (234 26 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (234 26 (:REWRITE D-E-FIRST-CLUSTER-OF-MAKE-D-E-WITH-FILENAME))
 (230 46 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (216 72 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (200 200 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (200 6 (:REWRITE M1-FILE->CONTENTS-OF-M1-FILE))
 (168 168 (:REWRITE D-E-FILENAME-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (168 84 (:REWRITE STR-FIX-WHEN-STRINGP))
 (156 156 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (154 154 (:TYPE-PRESCRIPTION NATS=>STRING))
 (154 154 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (154 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-1))
 (144 144 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (130 130 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (130 130 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (118 118 (:REWRITE LEMMA-1))
 (112 56 (:REWRITE FAT32-ENTRY-MASK-OF-FAT32-UPDATE-LOWER-28))
 (112 14 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (104 104 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (100 28 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (95 19 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (84 84 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (84 84 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (84 84 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (79 43 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (71 1 (:LINEAR LEN-OF-EXPLODE-OF-M1-FILE-CONTENTS-FIX))
 (64 64 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (60 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (58 58 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (56 56 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (56 56 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (56 56 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (56 56 (:REWRITE SUBSETP-TRANS2))
 (56 56 (:REWRITE SUBSETP-TRANS))
 (56 56 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (52 26 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (49 8 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (42 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (36 6 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (32 32 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (32 8 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (30 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (28 28 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 1))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (28 28 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (26 26 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (24 8 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-15))
 (24 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (18 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (15 15 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (15 15 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 12 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (12 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (11 1 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (10 2 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE))
 (9 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (8 8 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 1))
 (7 7 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (6 2 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 3))
 (4 4 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (4 4 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (4 4 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (4 4 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (2 2 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-FIX-UNDER-LOFAT-FILE-EQUIV))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (1 1 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 )
(LOFAT-UNLINK-REFINEMENT-LEMMA-4
 (2980 380 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2049 72 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1))
 (2002 12 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (1460 380 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1188 112 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (965 607 (:REWRITE DEFAULT-CDR))
 (934 934 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (768 768 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (760 760 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (708 92 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (642 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-59))
 (604 2 (:LINEAR HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E))
 (597 597 (:REWRITE DEFAULT-CAR))
 (420 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (364 2 (:LINEAR HIFAT-ENTRY-COUNT-OF-REMOVE-ASSOC-EQUAL))
 (277 31 (:DEFINITION ASSOC-EQUAL))
 (245 137 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (244 148 (:REWRITE DEFAULT-+-2))
 (236 236 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (234 234 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (234 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-3))
 (229 229 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (229 16 (:DEFINITION LEN))
 (224 6 (:REWRITE DELETE-D-E-CORRECTNESS-1))
 (224 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (218 2 (:DEFINITION DELETE-D-E))
 (202 148 (:REWRITE DEFAULT-+-1))
 (193 32 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (189 151 (:REWRITE DEFAULT-<-1))
 (176 151 (:REWRITE DEFAULT-<-2))
 (156 26 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (138 16 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (128 28 (:REWRITE NFIX-WHEN-NATP))
 (118 118 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (109 28 (:REWRITE NFIX-WHEN-ZP))
 (107 12 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (102 22 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (91 26 (:REWRITE STR::CONSP-OF-EXPLODE))
 (82 2 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-6))
 (74 19 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (73 27 (:DEFINITION NATP))
 (53 53 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (53 8 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (45 9 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (44 12 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (40 3 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (39 39 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (38 38 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-CONTENTS-FIX-UNDER-LOFAT-FILE-CONTENTS-EQUIV))
 (36 10 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (34 34 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (30 5 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (28 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (27 27 (:TYPE-PRESCRIPTION NATP))
 (27 27 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (27 27 (:REWRITE ZP-OPEN))
 (26 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (18 18 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (15 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (15 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-3))
 (14 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (9 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 8 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (7 7 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (6 6 (:TYPE-PRESCRIPTION DELETE-D-E))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 3 (:REWRITE DEFAULT-*-2))
 (5 5 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:REWRITE DEFAULT-*-1))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3 3 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 2))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(LOFAT-PREAD-REFINEMENT-LEMMA-1
 (26 2 (:DEFINITION FIND-D-E))
 (16 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (14 2 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (6 2 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (1 1 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(LEMMA-1
 (9788 37 (:DEFINITION LOFAT-FIND-FILE))
 (8704 63 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (5406 318 (:DEFINITION FIND-D-E))
 (5082 41 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (4744 74 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1))
 (4719 37 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (4130 59 (:DEFINITION CEILING))
 (2862 318 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2371 97 (:DEFINITION LEN))
 (2361 191 (:REWRITE ZP-OPEN))
 (1909 244 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (1770 59 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (1590 318 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1575 79 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (1476 164 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (1439 79 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (1126 588 (:REWRITE DEFAULT-<-2))
 (1121 59 (:REWRITE DEFAULT-UNARY-/))
 (1036 111 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (1034 607 (:REWRITE DEFAULT-+-2))
 (954 318 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (938 597 (:REWRITE DEFAULT-CDR))
 (891 9 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (888 111 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (864 9 (:LINEAR PAINFUL-DEBUGGING-LEMMA-9))
 (855 588 (:REWRITE DEFAULT-<-1))
 (842 34 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (787 607 (:REWRITE DEFAULT-+-1))
 (636 636 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (636 636 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (636 636 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (555 555 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (535 78 (:REWRITE NFIX-WHEN-ZP))
 (534 15 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (495 400 (:REWRITE DEFAULT-CAR))
 (453 3 (:DEFINITION FREE-INDEX-LISTP))
 (429 429 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (407 37 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (405 405 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (393 3 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (383 383 (:TYPE-PRESCRIPTION D-E-P))
 (383 383 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (318 318 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (295 118 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (286 286 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (281 62 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (246 246 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (246 26 (:REWRITE LOFAT-UNLINK-REFINEMENT-LEMMA-4))
 (236 59 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (234 26 (:REWRITE SUBSETP-CAR-MEMBER))
 (222 37 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (182 52 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (181 181 (:TYPE-PRESCRIPTION ZP))
 (176 176 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (144 36 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-10))
 (132 44 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (132 44 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (120 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (118 59 (:REWRITE DEFAULT-UNARY-MINUS))
 (118 59 (:REWRITE DEFAULT-NUMERATOR))
 (118 59 (:REWRITE DEFAULT-DENOMINATOR))
 (118 59 (:REWRITE DEFAULT-*-2))
 (118 59 (:DEFINITION IFIX))
 (114 114 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (111 111 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-CONTENTS-FIX-UNDER-LOFAT-FILE-CONTENTS-EQUIV))
 (108 36 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (104 26 (:REWRITE MEMBER-WHEN-ATOM))
 (97 37 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (90 3 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (88 88 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (84 84 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (84 84 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (81 18 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (80 26 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (78 78 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (75 3 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (74 74 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (74 74 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (69 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (65 65 (:REWRITE PSEUDO-ROOT-D-E-CORRECTNESS-1))
 (59 59 (:TYPE-PRESCRIPTION FAT32$C-P))
 (59 59 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (59 59 (:REWRITE DEFAULT-*-1))
 (55 5 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (54 54 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (52 26 (:REWRITE SET-EQUIV-ASYM))
 (51 15 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (48 48 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (45 5 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (44 44 (:LINEAR POSITION-WHEN-MEMBER))
 (44 44 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (43 43 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (42 42 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (42 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (41 14 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (39 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (39 3 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (37 37 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (37 37 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (36 36 (:TYPE-PRESCRIPTION CEILING))
 (30 6 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (30 3 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (28 8 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (28 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (26 26 (:TYPE-PRESCRIPTION SET-EQUIV))
 (26 26 (:REWRITE SUBSETP-OF-CDR))
 (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 NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 3))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 2))
 (26 26 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (23 8 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (21 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (18 18 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (18 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (15 15 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (15 15 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-2))
 (15 15 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (15 15 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (15 15 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (15 15 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (15 15 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (15 6 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (15 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (12 12 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (12 12 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (12 12 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (12 3 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (9 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (9 3 (:DEFINITION NATP))
 (6 6 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (5 5 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (5 5 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-3))
 (3 3 (:TYPE-PRESCRIPTION NAT-LISTP))
 (3 3 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (3 3 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (3 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 )
(LEMMA-2
 (8282 67 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (5046 41 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (4427 16 (:DEFINITION LOFAT-FIND-FILE))
 (3850 55 (:DEFINITION CEILING))
 (2774 124 (:DEFINITION LEN))
 (2528 195 (:REWRITE ZP-OPEN))
 (2363 139 (:DEFINITION FIND-D-E))
 (2283 16 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (1650 55 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (1476 164 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (1251 139 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1139 45 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (1048 541 (:REWRITE DEFAULT-<-2))
 (1045 55 (:REWRITE DEFAULT-UNARY-/))
 (961 555 (:REWRITE DEFAULT-+-2))
 (956 408 (:REWRITE DEFAULT-CDR))
 (893 3 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-2))
 (827 107 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (774 33 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (764 541 (:REWRITE DEFAULT-<-1))
 (704 555 (:REWRITE DEFAULT-+-1))
 (700 40 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (695 139 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (693 7 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (672 7 (:LINEAR PAINFUL-DEBUGGING-LEMMA-9))
 (640 40 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (586 19 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (548 548 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (473 71 (:REWRITE NFIX-WHEN-ZP))
 (453 3 (:DEFINITION FREE-INDEX-LISTP))
 (448 48 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (420 140 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (393 3 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (384 48 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (380 84 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (343 217 (:REWRITE DEFAULT-CAR))
 (315 35 (:REWRITE SUBSETP-CAR-MEMBER))
 (291 6 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (278 278 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (278 278 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (278 278 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (275 110 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (268 268 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (246 246 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (245 70 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (240 240 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (233 47 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (226 226 (:TYPE-PRESCRIPTION D-E-P))
 (220 55 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (208 32 (:REWRITE STR::CONSP-OF-EXPLODE))
 (200 200 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (187 187 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (176 16 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (169 169 (:TYPE-PRESCRIPTION ZP))
 (168 168 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (150 50 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (150 50 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (141 141 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (140 35 (:REWRITE MEMBER-WHEN-ATOM))
 (136 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (133 3 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (123 17 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (122 61 (:REWRITE DEFAULT-*-2))
 (120 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (118 3 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (117 26 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (112 28 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-10))
 (110 55 (:REWRITE DEFAULT-UNARY-MINUS))
 (110 55 (:REWRITE DEFAULT-NUMERATOR))
 (110 55 (:REWRITE DEFAULT-DENOMINATOR))
 (110 55 (:DEFINITION IFIX))
 (108 35 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (107 23 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (105 105 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (100 100 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (99 99 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (96 32 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (96 16 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (92 4 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (87 87 (:REWRITE PSEUDO-ROOT-D-E-CORRECTNESS-1))
 (84 28 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (78 78 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (74 74 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (74 74 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (72 4 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (70 35 (:REWRITE SET-EQUIV-ASYM))
 (69 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (67 19 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (61 61 (:REWRITE DEFAULT-*-1))
 (55 55 (:TYPE-PRESCRIPTION FAT32$C-P))
 (55 55 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (50 50 (:LINEAR POSITION-WHEN-MEMBER))
 (50 50 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (48 48 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (48 48 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-CONTENTS-FIX-UNDER-LOFAT-FILE-CONTENTS-EQUIV))
 (42 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (39 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (39 3 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (35 35 (:TYPE-PRESCRIPTION SET-EQUIV))
 (35 35 (:REWRITE SUBSETP-OF-CDR))
 (35 35 (:REWRITE SUBSETP-MEMBER . 4))
 (35 35 (:REWRITE SUBSETP-MEMBER . 3))
 (35 35 (:REWRITE SUBSETP-MEMBER . 2))
 (35 35 (:REWRITE SUBSETP-MEMBER . 1))
 (35 35 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (35 35 (:REWRITE INTERSECTP-MEMBER . 3))
 (35 35 (:REWRITE INTERSECTP-MEMBER . 2))
 (35 35 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (33 33 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (33 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (31 31 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (31 7 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (30 6 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (30 3 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (28 28 (:TYPE-PRESCRIPTION CEILING))
 (26 26 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (21 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (19 19 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-2))
 (19 19 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (19 19 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (19 19 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (19 19 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (19 19 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (16 16 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (15 15 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (15 6 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (15 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (12 12 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 12 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (10 1 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (9 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (9 3 (:DEFINITION NATP))
 (9 1 (:REWRITE LOFAT-FILE-CONTENTS-P-WHEN-D-E-LISTP))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION NAT-LISTP))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3 3 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (3 3 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (3 3 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-3))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (1 1 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-3
 (3780 27 (:DEFINITION LOFAT-FIND-FILE))
 (1836 108 (:DEFINITION FIND-D-E))
 (1339 27 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (1269 54 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (972 108 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (960 8 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (756 81 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (648 81 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (560 8 (:DEFINITION CEILING))
 (540 108 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (448 16 (:DEFINITION LEN))
 (405 405 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (324 108 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (297 27 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (288 32 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (262 211 (:REWRITE DEFAULT-CDR))
 (240 8 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (226 226 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (216 216 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (216 216 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (216 216 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (216 24 (:REWRITE ZP-OPEN))
 (193 193 (:REWRITE USEFUL-D-E-LIST-P-OF-ROOT-D-E-LIST))
 (189 189 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (185 110 (:REWRITE DEFAULT-<-2))
 (177 110 (:REWRITE DEFAULT-+-2))
 (172 43 (:REWRITE COMMUTATIVITY-OF-+))
 (162 162 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (162 54 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (153 110 (:REWRITE DEFAULT-<-1))
 (153 110 (:REWRITE DEFAULT-+-1))
 (153 7 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (152 8 (:REWRITE DEFAULT-UNARY-/))
 (144 141 (:REWRITE DEFAULT-CAR))
 (108 108 (:TYPE-PRESCRIPTION D-E-P))
 (108 108 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (106 7 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (81 81 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (81 81 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (81 81 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-CONTENTS-FIX-UNDER-LOFAT-FILE-CONTENTS-EQUIV))
 (81 27 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (66 10 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-2))
 (54 54 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (54 54 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (54 54 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (42 14 (:REWRITE LOFAT-UNLINK-REFINEMENT-LEMMA-4))
 (40 40 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (40 16 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (40 16 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (32 8 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (31 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (30 30 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (30 6 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (27 27 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-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))
 (21 21 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 1))
 (21 7 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-5))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 8 (:REWRITE NFIX-WHEN-ZP))
 (16 8 (:REWRITE NFIX-WHEN-NATP))
 (16 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (16 8 (:REWRITE DEFAULT-NUMERATOR))
 (16 8 (:REWRITE DEFAULT-DENOMINATOR))
 (16 8 (:REWRITE DEFAULT-*-2))
 (16 8 (:DEFINITION IFIX))
 (15 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1))
 (9 9 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (9 3 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32$C-P))
 (8 8 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (8 8 (:REWRITE DEFAULT-*-1))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (3 3 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-5
 (2104 156 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1340 156 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (964 80 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (564 80 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (312 312 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (312 312 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (312 312 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (296 296 (:TYPE-PRESCRIPTION D-E-P))
 (290 274 (:REWRITE DEFAULT-CDR))
 (280 280 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (236 236 (:REWRITE DEFAULT-CAR))
 (195 29 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (188 188 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (186 62 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (186 1 (:REWRITE LOFAT-FILE-CONTENTS-P-WHEN-STRINGP))
 (182 82 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1))
 (170 170 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (170 170 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (158 1 (:DEFINITION UNSIGNED-BYTE-P))
 (157 1 (:DEFINITION INTEGER-RANGE-P))
 (141 101 (:REWRITE DEFAULT-<-1))
 (141 92 (:REWRITE DEFAULT-+-2))
 (140 140 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (140 140 (:REWRITE D-E-FILENAME-OF-D-E-FIX))
 (135 92 (:REWRITE DEFAULT-+-1))
 (130 101 (:REWRITE DEFAULT-<-2))
 (130 23 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (116 116 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (94 94 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (84 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (78 6 (:DEFINITION LEN))
 (74 16 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (73 2 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (52 2 (:REWRITE LENGTH-WHEN-STRINGP))
 (45 45 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-CONTENTS-FIX-UNDER-LOFAT-FILE-CONTENTS-EQUIV))
 (32 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (30 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (29 29 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (28 8 (:REWRITE STR::CONSP-OF-EXPLODE))
 (25 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION LOFAT-FILE))
 (20 20 (:TYPE-PRESCRIPTION LEN))
 (19 9 (:REWRITE LOFAT-UNLINK-REFINEMENT-LEMMA-4))
 (16 4 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-1))
 (13 1 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (12 12 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 8 (:REWRITE LOFAT-FILE-P-OF-LOFAT-FILE))
 (8 4 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (6 2 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (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 STRINGP-WHEN-NONEMPTY-STRINGP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE DEFAULT-*-2))
 (3 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (3 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (3 1 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 2))
 (3 1 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (3 1 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (2 2 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE DEFAULT-*-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-4
 (17220 123 (:DEFINITION LOFAT-FIND-FILE))
 (8364 492 (:DEFINITION FIND-D-E))
 (6021 117 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (5781 246 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (4428 492 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4320 36 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (3444 369 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (2952 369 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (2732 96 (:DEFINITION LEN))
 (2520 36 (:DEFINITION CEILING))
 (2460 492 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1845 1845 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (1476 961 (:REWRITE DEFAULT-CDR))
 (1476 492 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1353 123 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1296 144 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (1080 36 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (984 984 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (984 984 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (984 984 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (972 108 (:REWRITE ZP-OPEN))
 (881 881 (:REWRITE USEFUL-D-E-LIST-P-OF-ROOT-D-E-LIST))
 (861 861 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (849 522 (:REWRITE DEFAULT-+-2))
 (839 500 (:REWRITE DEFAULT-<-2))
 (780 195 (:REWRITE COMMUTATIVITY-OF-+))
 (738 738 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (738 246 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1))
 (738 123 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (717 522 (:REWRITE DEFAULT-+-1))
 (697 500 (:REWRITE DEFAULT-<-1))
 (684 36 (:REWRITE DEFAULT-UNARY-/))
 (621 619 (:REWRITE DEFAULT-CAR))
 (525 46 (:REWRITE STR::CONSP-OF-EXPLODE))
 (492 492 (:TYPE-PRESCRIPTION D-E-P))
 (492 492 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (371 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (369 369 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (369 369 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (369 369 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-CONTENTS-FIX-UNDER-LOFAT-FILE-CONTENTS-EQUIV))
 (369 123 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (266 266 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (266 266 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (257 39 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-2))
 (246 246 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (246 246 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (243 81 (:REWRITE LOFAT-UNLINK-REFINEMENT-LEMMA-4))
 (216 216 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (180 180 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (180 72 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (180 72 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (179 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (148 148 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (144 36 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (123 123 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (123 123 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (111 37 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (111 37 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (85 17 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (84 84 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 1))
 (75 25 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-5))
 (74 74 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (74 37 (:REWRITE DEFAULT-*-2))
 (72 36 (:REWRITE NFIX-WHEN-ZP))
 (72 36 (:REWRITE NFIX-WHEN-NATP))
 (72 36 (:REWRITE DEFAULT-UNARY-MINUS))
 (72 36 (:REWRITE DEFAULT-NUMERATOR))
 (72 36 (:REWRITE DEFAULT-DENOMINATOR))
 (72 36 (:DEFINITION IFIX))
 (69 69 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (68 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (64 24 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (48 12 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1))
 (40 40 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (38 38 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (37 37 (:REWRITE DEFAULT-*-1))
 (36 36 (:TYPE-PRESCRIPTION ZP))
 (36 36 (:TYPE-PRESCRIPTION FAT32$C-P))
 (36 36 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (36 36 (:LINEAR POSITION-WHEN-MEMBER))
 (36 36 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (29 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (20 2 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20 2 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-1))
 (14 2 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-6
 (803976 2919 (:DEFINITION UNSIGNED-BYTE-P))
 (802070 2919 (:DEFINITION INTEGER-RANGE-P))
 (423612 4794 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (308026 36047 (:REWRITE DEFAULT-CDR))
 (301541 2406 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (289114 2406 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (259014 11650 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (173635 313 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (149560 49802 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (113198 4200 (:DEFINITION FIND-D-E))
 (99012 46896 (:REWRITE DEFAULT-+-2))
 (98346 98346 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (92804 11611 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2))
 (91344 1250 (:DEFINITION NATP))
 (58926 46896 (:REWRITE DEFAULT-+-1))
 (53496 1196 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (48782 48782 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (47461 10129 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (43503 43503 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (43316 9304 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (38812 3331 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (36102 12034 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (36102 12034 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (35094 19597 (:REWRITE DEFAULT-<-2))
 (33452 19597 (:REWRITE DEFAULT-<-1))
 (32040 1068 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (26560 1684 (:REWRITE SUBSETP-CAR-MEMBER))
 (24068 24068 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (22406 22406 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (22286 22286 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (21757 4297 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (20636 323 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (19762 1462 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (19478 19478 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (18176 284 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (17811 3833 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (17432 17432 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (16860 128 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (15209 2877 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (15140 128 (:DEFINITION FREE-INDEX-LISTP))
 (14840 2406 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (14740 1462 (:REWRITE D-E-CC-CORRECTNESS-1))
 (14447 14447 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (13220 128 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (12160 12160 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (12016 12016 (:LINEAR POSITION-WHEN-MEMBER))
 (12016 12016 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (11715 355 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (11466 5637 (:REWRITE DEFAULT-*-2))
 (9426 9426 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (9413 8371 (:REWRITE DEFAULT-CAR))
 (9018 4093 (:REWRITE DEFAULT-UNARY-MINUS))
 (8918 3671 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (7987 532 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (7746 7746 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (7473 7473 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (7440 428 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (7428 1226 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (7053 969 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (6408 1068 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (6312 2104 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (5637 5637 (:REWRITE DEFAULT-*-1))
 (5472 1824 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (5246 78 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (4748 1526 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (4733 255 (:DEFINITION LENGTH))
 (4681 3331 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (4428 1476 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (4162 97 (:DEFINITION PLACE-D-E))
 (3822 637 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3741 1247 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (3726 3726 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3610 86 (:DEFINITION INTEGER-LISTP))
 (3322 1047 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3272 3272 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3272 3272 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3272 3272 (:REWRITE SUBSETP-TRANS2))
 (3272 3272 (:REWRITE SUBSETP-TRANS))
 (3204 1068 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (3200 256 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (3052 3052 (:TYPE-PRESCRIPTION FAT32$C-P))
 (3043 3043 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3022 2224 (:TYPE-PRESCRIPTION LAST))
 (2853 951 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (2491 355 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2476 2476 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2400 256 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (2308 102 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (2064 156 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (1863 1863 (:REWRITE SUBSETP-MEMBER . 2))
 (1863 1863 (:REWRITE SUBSETP-MEMBER . 1))
 (1636 1636 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (1618 1618 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1616 296 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (1615 646 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1600 256 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1582 250 (:REWRITE CONSP-OF-LAST))
 (1536 1536 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (1388 1084 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (1378 1378 (:TYPE-PRESCRIPTION NATP))
 (1314 174 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (1274 1274 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1238 1238 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1144 1144 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (1016 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (998 294 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (995 995 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (969 323 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (858 572 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (816 352 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (695 97 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (648 162 (:DEFINITION BINARY-APPEND))
 (646 646 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (646 646 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (640 640 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (637 637 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (624 48 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (532 102 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (524 94 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (514 190 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (470 106 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (400 128 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (324 324 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (323 323 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (312 312 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (304 304 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (291 97 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (256 256 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (256 256 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (252 114 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-81))
 (190 190 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (156 23 (:REWRITE LOFAT-FS-P-OF-PLACE-CONTENTS))
 (152 136 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (144 48 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 3))
 (140 140 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (136 136 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (120 40 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-6 . 2))
 (102 102 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (97 97 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (94 94 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (94 94 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (72 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (48 48 (:REWRITE SUBSETP-NIL))
 (48 48 (:REWRITE SET-EQUIV-OF-NIL))
 (48 48 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (48 48 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (16 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (6 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-78))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-7
 (360 20 (:DEFINITION FIND-D-E))
 (315 3 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (273 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (200 20 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (195 3 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (180 8 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (147 90 (:TYPE-PRESCRIPTION LAST))
 (123 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (120 20 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (120 15 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (111 15 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (108 108 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (102 3 (:DEFINITION INTEGER-LISTP))
 (99 15 (:REWRITE CONSP-OF-LAST))
 (96 12 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (88 31 (:REWRITE DEFAULT-CAR))
 (75 21 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (75 15 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (66 66 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (63 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (60 60 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (60 20 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (60 6 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (60 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (59 15 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (56 50 (:REWRITE DEFAULT-CDR))
 (54 3 (:DEFINITION LEN))
 (48 9 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (40 40 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (40 40 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (39 6 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (39 3 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (36 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (30 30 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION LOFAT-FILE-FIX$INLINE))
 (30 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (30 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (27 27 (:TYPE-PRESCRIPTION LOFAT-DIRECTORY-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (24 6 (:REWRITE D-E-CC-CORRECTNESS-1))
 (23 23 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (23 23 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (21 21 (:TYPE-PRESCRIPTION LEN))
 (21 21 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (20 20 (:TYPE-PRESCRIPTION D-E-P))
 (20 20 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (20 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18 9 (: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))
 (15 12 (:REWRITE DEFAULT-<-2))
 (15 12 (:REWRITE DEFAULT-<-1))
 (12 12 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (12 12 (:REWRITE LOFAT-FILE-P-OF-LOFAT-FILE-FIX))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (9 9 (:REWRITE DEFAULT-+-1))
 (9 3 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (9 3 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (6 6 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER))
 (6 6 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (5 3 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-6 . 2))
 (2 2 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-6 . 1))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 )
(LOFAT-PWRITE-REFINEMENT-LEMMA-30
 (176984 488 (:DEFINITION FREE-INDEX-LISTP))
 (163275 5857 (:REWRITE NFIX-WHEN-ZP))
 (155738 7924 (:DEFINITION FIND-D-E))
 (152330 316 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (138896 170 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (137026 170 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (125622 9341 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (121046 708 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-2))
 (102352 28533 (:REWRITE DEFAULT-CDR))
 (96547 333 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (95932 10492 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (88337 1107 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (77391 39840 (:REWRITE DEFAULT-+-2))
 (70240 140 (:DEFINITION BINARY-APPEND))
 (65621 27967 (:REWRITE DEFAULT-<-2))
 (64454 1284 (:DEFINITION PLACE-D-E))
 (61901 178 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (60422 902 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-2))
 (55248 9208 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (49222 39840 (:REWRITE DEFAULT-+-1))
 (48958 99 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-DIR-CONTENTS-DISJOINT))
 (47976 27967 (:REWRITE DEFAULT-<-1))
 (39435 15977 (:REWRITE DEFAULT-CAR))
 (36858 900 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (36401 1110 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (33492 33492 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (33170 6634 (:LINEAR NTH-WHEN-D-E-P))
 (31586 2133 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (24401 536 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (24256 1510 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (23714 130 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (23501 31 (:REWRITE FAT32-BUILD-INDEX-LIST-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS-DISJOINT))
 (23445 791 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (23098 102 (:DEFINITION INTEGER-LISTP))
 (22416 287 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (21204 3712 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (21166 333 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (19920 124 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (19222 19222 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (17697 37 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (17610 17610 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (17603 313 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (17149 1489 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15060 900 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (13710 539 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (13599 124 (:DEFINITION ALISTP))
 (12625 499 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (12018 296 (:DEFINITION UPDATE-NTH))
 (11762 2674 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11232 333 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (10680 10680 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10464 1744 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10383 488 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (10272 1284 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (9270 78 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (9008 50 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (8738 4284 (:REWRITE DEFAULT-*-2))
 (8537 48 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (8424 31 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (8264 44 (:REWRITE FAT32-BUILD-INDEX-LIST-OF-UPDATE-NTH))
 (7792 37 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (7755 37 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (7438 74 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (6964 900 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (6964 900 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (6727 248 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (6631 202 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-66))
 (6574 27 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (6196 27 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (6064 6064 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5983 248 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (5902 164 (:REWRITE D-E-CC-OF-CLEAR-CC))
 (5664 354 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (5523 2527 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5453 5453 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (5390 131 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (5112 333 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (5082 4284 (:REWRITE DEFAULT-*-1))
 (4530 2566 (:REWRITE NTH-WHEN-D-E-P . 2))
 (4510 900 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (4464 12 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-11))
 (4443 1481 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4443 1481 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4149 1720 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (3852 1284 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (3618 180 (:DEFINITION POSITION-EQUAL-AC))
 (3522 3522 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3402 3402 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3180 12 (:REWRITE D-E-CC-OF-UPDATE-DIR-CONTENTS))
 (3163 1177 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (3036 4 (:REWRITE POSITION-EQUAL-AC-OF-+))
 (2962 2962 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2848 709 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (2812 131 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (2730 818 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2660 118 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-11))
 (2465 209 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (2360 472 (:REWRITE NOT-D-E-DIRECTORY-P-OF-MAKE-D-E-WITH-FILENAME))
 (2131 58 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 3))
 (1979 180 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-66))
 (1837 557 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1804 632 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1761 1761 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1759 364 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (1662 1231 (:REWRITE INTERSECTP-MEMBER . 1))
 (1648 1648 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (1581 62 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (1494 21 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (1483 1483 (:REWRITE SUBSETP-TRANS2))
 (1483 1483 (:REWRITE SUBSETP-TRANS))
 (1426 126 (:REWRITE CONSP-OF-LAST))
 (1414 1414 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1397 16 (:REWRITE FAT32-BUILD-INDEX-LIST-OF-SET-INDICES-DISJOINT))
 (1354 2 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (1348 1348 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (1252 42 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (1223 1223 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (1170 130 (:REWRITE SUBSETP-CAR-MEMBER))
 (1151 1151 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (1125 612 (:TYPE-PRESCRIPTION LAST))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (1109 1109 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (1026 114 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (1021 1021 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (995 22 (:REWRITE FAT32-BUILD-INDEX-LIST-CORRECTNESS-1 . 2))
 (985 536 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (837 31 (:REWRITE SUBSETP-OF-CONS))
 (795 795 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (795 795 (:REWRITE INTERSECTP-MEMBER . 3))
 (795 795 (:REWRITE INTERSECTP-MEMBER . 2))
 (795 795 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (729 729 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (636 9 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (628 280 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (620 620 (:TYPE-PRESCRIPTION ALISTP))
 (598 302 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (558 62 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-1))
 (502 502 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (496 496 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (496 93 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (483 147 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (480 6 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (453 11 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-87))
 (438 14 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (423 8 (:REWRITE MEMBER-EQUAL-NTH))
 (410 3 (:REWRITE LEN-UPDATE-NTH))
 (403 206 (:REWRITE DEFAULT-UNARY-MINUS))
 (403 31 (:REWRITE SUBSETP-CONS-2))
 (396 198 (:REWRITE SET-EQUIV-ASYM))
 (384 12 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-7))
 (364 364 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (341 341 (:REWRITE SUBSETP-MEMBER . 2))
 (340 2 (:REWRITE NTH-OF-FREE-INDEX-LIST))
 (333 333 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-2))
 (333 333 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (333 333 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (322 322 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (314 53 (:REWRITE MEMBER-OF-FAT32-BUILD-INDEX-LIST))
 (302 302 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (302 302 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (297 27 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
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 (54 54 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
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 )
(LOFAT-PWRITE-REFINEMENT-LEMMA-32
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 (1 1 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 )
(LOFAT-PWRITE-REFINEMENT-LEMMA-31
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 (608 608 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
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 (324 324 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (323 103 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (322 322 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (322 322 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (319 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-87))
 (316 316 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (304 304 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (304 152 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (304 76 (:DEFINITION NFIX))
 (300 5 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (297 6 (:DEFINITION PLACE-D-E))
 (296 296 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (270 270 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (252 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (231 79 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (228 228 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (228 228 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (228 152 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (228 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (216 72 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
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 (152 152 (:TYPE-PRESCRIPTION FILE-TABLE-P))
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 (22 22 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (22 22 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (21 21 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (21 3 (:REWRITE DISTRIBUTIVITY))
 (20 20 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (20 20 (:TYPE-PRESCRIPTION ALISTP))
 (18 6 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (18 6 (:REWRITE COUNT-OF-CLUSTERS-OF-PLACE-CONTENTS))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE SUBSETP-MEMBER . 3))
 (16 16 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (16 16 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (16 8 (:REWRITE DEFAULT-*-2))
 (16 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-5))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12 9 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (12 6 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (11 11 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (11 5 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (10 2 (:LINEAR NTH-WHEN-D-E-P))
 (9 9 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (9 3 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (9 3 (:REWRITE GOOD-ROOT-D-E-P-OF-PSEUDO-ROOT-D-E))
 (9 3 (:REWRITE CLUSTER-SIZE-OF-PLACE-CONTENTS))
 (8 8 (:REWRITE DEFAULT-*-1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (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))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (7 7 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE D-E-LIST-P-OF-PLACE-D-E))
 (6 3 (:REWRITE STR-FIX-WHEN-STRINGP))
 (6 3 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:TYPE-PRESCRIPTION FAT32$C-P))
 (5 5 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (3 3 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (3 3 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE PLACE-CONTENTS-CORRECTNESS-1))
 (3 3 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (3 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 )
(LOFAT-PWRITE-REFINEMENT-LEMMA-33
 (150124 37 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-PLACE-CONTENTS))
 (147129 74 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-UPDATE-FATI))
 (131138 740 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (117844 141 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-57))
 (102990 501 (:DEFINITION FREE-INDEX-LISTP))
 (94455 276 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (49044 276 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-CLEAR-CC))
 (46103 1391 (:REWRITE NFIX-WHEN-ZP))
 (43293 175 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (40500 162 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (37868 740 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (32611 3 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-UPDATE-DIR-CONTENTS))
 (31153 15 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-37))
 (26432 1622 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (24048 740 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (22950 3849 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (20719 4723 (:REWRITE DEFAULT-<-2))
 (19568 678 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (18080 2080 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (17965 9 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (16555 8 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (16117 552 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (15945 27 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (15883 273 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (14580 648 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (14580 324 (:DEFINITION INTEGER-LISTP))
 (12907 4723 (:REWRITE DEFAULT-<-1))
 (12776 1029 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12621 12621 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (11454 573 (:DEFINITION LEN))
 (11011 1459 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (10692 25 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (10126 1858 (:REWRITE DEFAULT-CDR))
 (10017 7 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (9551 9551 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (9440 9440 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (9299 678 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (9191 1008 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8806 7 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (8768 1008 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8312 1394 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (7433 501 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (7099 2002 (:REWRITE DEFAULT-CAR))
 (6895 740 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (6001 3 (:REWRITE UPDATE-DIR-CONTENTS-CORRECTNESS-1))
 (5758 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-39))
 (5524 3 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (4796 2094 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (4248 144 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-31))
 (4212 324 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (4202 2373 (:REWRITE DEFAULT-+-2))
 (3696 14 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (3492 2373 (:REWRITE DEFAULT-+-1))
 (3390 678 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (3240 324 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (3197 678 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (3197 678 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (3150 176 (:DEFINITION FIND-D-E))
 (2954 2954 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (2947 3 (:REWRITE COUNT-FREE-CLUSTERS-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS))
 (2678 27 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (2505 2505 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (2379 534 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (1992 25 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (1953 7 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1946 14 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (1932 14 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (1918 28 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (1813 7 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (1640 17 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-1))
 (1476 1476 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1440 288 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (1400 7 (:DEFINITION ALISTP))
 (1296 1296 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1134 1134 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1134 1134 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1134 1134 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1104 129 (:REWRITE D-E-DIRECTORY-P-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (1092 182 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1083 363 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (1008 1008 (:REWRITE SUBSETP-TRANS2))
 (1008 1008 (:REWRITE SUBSETP-TRANS))
 (972 972 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (972 162 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (972 162 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (800 160 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FAT32-BUILD-INDEX-LIST))
 (748 748 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (740 740 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-2))
 (740 740 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (740 740 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (740 740 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (740 740 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (678 678 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (678 678 (:TYPE-PRESCRIPTION ACL2-NUMBER-LISTP))
 (660 660 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (648 648 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (648 324 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (648 162 (:DEFINITION NFIX))
 (640 640 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (597 51 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (582 3 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT))
 (527 17 (:REWRITE LEN-OF-MAKE-LIST-AC))
 (522 3 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (489 165 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (486 486 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (486 486 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (486 324 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (480 8 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (459 54 (:REWRITE STR::CONSP-OF-EXPLODE))
 (441 14 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (440 440 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (432 144 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
 (428 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-75))
 (399 14 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (396 132 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (386 166 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (377 5 (:DEFINITION UPDATE-NTH))
 (372 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (364 364 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (354 3 (:REWRITE LEN-OF-NATS=>CHARS))
 (351 3 (:REWRITE LEN-OF-INSERT-D-E))
 (333 3 (:REWRITE FATI-OF-UPDATE-FATI))
 (325 7 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-87))
 (324 324 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (324 324 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (324 324 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (324 324 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (324 324 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (324 324 (:REWRITE FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (324 324 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (324 324 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (324 162 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (300 7 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (297 6 (:DEFINITION PLACE-D-E))
 (290 290 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (288 288 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (248 140 (:REWRITE NTH-WHEN-D-E-P . 2))
 (245 149 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (210 7 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (207 132 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-7))
 (202 13 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (192 6 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-FATI))
 (187 27 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (187 27 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (182 182 (:TYPE-PRESCRIPTION PLACE-D-E))
 (170 170 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (165 53 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (162 162 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (162 162 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (154 14 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (153 153 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (150 3 (:REWRITE LEN-OF-PLACE-D-E))
 (144 144 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (144 144 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (144 144 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER))
 (140 70 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (140 28 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (138 10 (:REWRITE COMMUTATIVITY-2-OF-+))
 (114 38 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (112 7 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (104 104 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (98 23 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (81 81 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (81 28 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (81 25 (:REWRITE MEMBER-WHEN-ATOM))
 (78 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-10))
 (77 7 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (75 75 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (68 68 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (68 68 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-7))
 (68 34 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (63 14 (:REWRITE INTERSECTP-MEMBER . 1))
 (60 52 (:REWRITE SUBSETP-MEMBER . 1))
 (53 17 (:REWRITE NTH-WHEN-D-E-P . 3))
 (52 52 (:REWRITE SUBSETP-MEMBER . 2))
 (51 17 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-MAKE-LIST-AC))
 (48 48 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (48 6 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (48 1 (:REWRITE MEMBER-EQUAL-NTH))
 (42 9 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (42 7 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-66))
 (38 38 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (35 35 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (35 35 (:TYPE-PRESCRIPTION ALISTP))
 (35 11 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (34 34 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (34 34 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (32 32 (:TYPE-PRESCRIPTION ATOM))
 (28 28 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (28 7 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-5))
 (25 25 (:REWRITE SUBSETP-MEMBER . 4))
 (25 25 (:REWRITE SUBSETP-MEMBER . 3))
 (25 25 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (25 25 (:REWRITE INTERSECTP-MEMBER . 3))
 (25 25 (:REWRITE INTERSECTP-MEMBER . 2))
 (25 25 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (23 23 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (21 3 (:REWRITE DISTRIBUTIVITY))
 (18 6 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (18 6 (:REWRITE COUNT-OF-CLUSTERS-OF-PLACE-CONTENTS))
 (17 17 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (16 8 (:REWRITE DEFAULT-*-2))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 7 (:REWRITE SET-EQUIV-ASYM))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (13 13 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (12 12 (:REWRITE D-E-LIST-P-OF-PLACE-D-E))
 (12 9 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (12 6 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (10 2 (:LINEAR NTH-WHEN-D-E-P))
 (9 9 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (9 3 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (9 3 (:REWRITE GOOD-ROOT-D-E-P-OF-PSEUDO-ROOT-D-E))
 (9 3 (:REWRITE CLUSTER-SIZE-OF-PLACE-CONTENTS))
 (8 8 (:TYPE-PRESCRIPTION FAT32$C-P))
 (8 8 (:REWRITE DEFAULT-*-1))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:REWRITE SUBSETP-OF-CDR))
 (7 7 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 3 (:REWRITE STR-FIX-WHEN-STRINGP))
 (6 3 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (3 3 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (3 3 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE PLACE-CONTENTS-CORRECTNESS-1))
 (3 3 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (3 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 )
(LOFAT-PWRITE-REFINEMENT-LEMMA-35
 (25695 139 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (24102 99 (:DEFINITION FREE-INDEX-LISTP))
 (20686 9 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-PLACE-CONTENTS))
 (20269 12 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-UPDATE-FATI))
 (15040 25 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-57))
 (11836 331 (:REWRITE NFIX-WHEN-ZP))
 (11688 45 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (11112 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (10545 4 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (9232 199 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (8015 35 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (7987 45 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-CLEAR-CC))
 (7701 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (7490 30 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (7081 140 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (6673 7 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (5439 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-37))
 (5184 9 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (4800 4 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (4422 1124 (:REWRITE DEFAULT-<-2))
 (4301 294 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
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 (1976 267 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1920 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-39))
 (1814 996 (:REWRITE DEFAULT-+-2))
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 (1715 134 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (1534 1534 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (1440 996 (:REWRITE DEFAULT-+-1))
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 (1379 190 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
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 (1258 11 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (1248 11 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (1174 9 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (1155 5 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1130 20 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (1086 243 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1055 5 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (1043 139 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (875 378 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
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 (856 192 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
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 (625 134 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (612 134 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (600 60 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
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 (559 559 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
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 (277 277 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
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 (190 190 (:REWRITE SUBSETP-TRANS2))
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 (139 139 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (139 139 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
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 (130 26 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FAT32-BUILD-INDEX-LIST))
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 (92 46 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
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 (90 90 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
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 (88 8 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
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 (80 16 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (79 5 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (78 78 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (72 24 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (72 24 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
 (69 23 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (68 68 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (63 63 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (60 60 (:TYPE-PRESCRIPTION FILE-TABLE-P))
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 (60 60 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (60 60 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (60 60 (:REWRITE FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (60 60 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (60 60 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
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 (49 33 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
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 (48 48 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (44 22 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (44 4 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (36 36 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (36 23 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-7))
 (33 33 (:TYPE-PRESCRIPTION PLACE-D-E))
 (33 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-MAKE-LIST-AC))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (30 30 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
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 (30 30 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (29 4 (:REWRITE FIND-D-E-CORRECTNESS-2))
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 (24 24 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
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 (24 24 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (24 24 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER))
 (24 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (24 4 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-66))
 (22 22 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (22 22 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (22 22 (:TYPE-PRESCRIPTION ATOM))
 (20 20 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
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 (16 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-5))
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 (14 3 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
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 (12 6 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
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 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
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 (9 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-75))
 (9 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-118))
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 (7 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (5 5 (:TYPE-PRESCRIPTION SET-EQUIV))
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 (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 5 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (4 4 (:TYPE-PRESCRIPTION FAT32$C-P))
 (4 4 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (4 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (4 2 (:REWRITE DEFAULT-*-2))
 (3 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (3 1 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (3 1 (:REWRITE GOOD-ROOT-D-E-P-OF-PSEUDO-ROOT-D-E))
 (2 2 (:TYPE-PRESCRIPTION STRINGP-OF-IMPLODE))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DEFAULT-*-1))
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 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (2 1 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (1 1 (:REWRITE CDR-CONS))
 (1 1 (:REWRITE CAR-CONS))
 )
(LOFAT-PWRITE-REFINEMENT-LEMMA-39
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 (70388 389 (:DEFINITION FREE-INDEX-LISTP))
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 (37701 1231 (:REWRITE NFIX-WHEN-ZP))
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 (31250 125 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
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 (19810 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-117))
 (18059 1242 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
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 (5939 528 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
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 (4010 18 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (3874 4 (:LINEAR RESERVED-AREA-STRING-GUARD-LEMMA-2))
 (3838 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-39))
 (3645 20 (:DEFINITION UNSIGNED-BYTE-P))
 (3625 20 (:DEFINITION INTEGER-RANGE-P))
 (3604 1571 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (3554 10 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3522 196 (:DEFINITION FIND-D-E))
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 (3250 250 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (2832 96 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-31))
 (2682 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (2500 250 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2462 412 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2400 528 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (2345 15 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (2310 10 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2266 3 (:REWRITE EQUAL-OF-M1-FILE))
 (2110 10 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (2082 18 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (2064 18 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (2046 36 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (1945 1945 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
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 (1667 528 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (1640 10 (:DEFINITION ALISTP))
 (1587 25 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1550 310 (:LINEAR NTH-WHEN-D-E-P))
 (1424 18 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-1))
 (1330 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-27))
 (1188 198 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1167 207 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1134 1134 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1102 1102 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1000 1000 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (960 192 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (875 875 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (875 875 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (875 875 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (871 651 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (816 272 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (784 24 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (776 776 (:REWRITE SUBSETP-TRANS2))
 (776 776 (:REWRITE SUBSETP-TRANS))
 (750 750 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (750 125 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (750 125 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (710 24 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (696 87 (:REWRITE D-E-DIRECTORY-P-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (618 618 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (580 116 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FAT32-BUILD-INDEX-LIST))
 (575 575 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-2))
 (575 575 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (575 575 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (575 575 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (575 575 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (568 1 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (548 424 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (522 206 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (520 520 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (510 20 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (500 500 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (500 250 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (500 125 (:DEFINITION NFIX))
 (488 18 (:REWRITE LEN-OF-MAKE-LIST-AC))
 (464 464 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (450 20 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (440 10 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (396 396 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (381 381 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (380 130 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (375 375 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (375 375 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (375 250 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE-LEMMA-2))
 (355 12 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (300 10 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (292 20 (:REWRITE INTERSECTP-MEMBER . 1))
 (276 92 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (270 4 (:DEFINITION UPDATE-NTH))
 (267 123 (:REWRITE NTH-WHEN-D-E-P . 2))
 (264 8 (:REWRITE MEMBER-EQUAL-NTH))
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(LOFAT-MKDIR-REFINEMENT-LEMMA-10
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 (1481 1481 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (1442 1442 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1436 1436 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (1378 69 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1326 51 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (1230 164 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1200 5 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (1056 88 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (950 950 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (865 187 (:DEFINITION MAX))
 (847 25 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (735 735 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (709 709 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (638 638 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (480 160 (:REWRITE HIFAT-EQUIV-OF-CONS-LEMMA-3))
 (410 82 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (398 398 (:REWRITE D-E-P-OF-D-E-FIX))
 (382 382 (:REWRITE D-E-LIST-P-OF-PLACE-D-E))
 (380 76 (:TYPE-PRESCRIPTION MAX))
 (324 108 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-75))
 (311 311 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (276 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-61))
 (246 82 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (206 206 (:REWRITE D-E-FILENAME-OF-D-E-FIX))
 (204 52 (:REWRITE MEMBER-OF-CONS))
 (180 180 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (168 168 (:TYPE-PRESCRIPTION D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (168 11 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-226))
 (164 164 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (164 164 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (133 19 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (120 60 (:REWRITE M1-FILE->D-E-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (88 88 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (86 86 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (86 86 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (82 82 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (76 76 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 1))
 (72 24 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (60 60 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (60 60 (:REWRITE D-E-FIX-UNDER-D-E-EQUIV))
 (56 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-42))
 (52 12 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2))
 (38 38 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (38 38 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 (36 12 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-6))
 (33 11 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-92))
 (33 11 (:REWRITE D-E-CC-OF-LOFAT-PLACE-FILE-DISJOINT))
 (28 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE M1-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-13
 (330 2 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (240 2 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (174 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (162 4 (:REWRITE GOOD-ROOT-D-E-P-OF-PSEUDO-ROOT-D-E))
 (156 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (146 10 (:REWRITE ZP-OPEN))
 (140 2 (:DEFINITION CEILING))
 (122 6 (:DEFINITION LEN))
 (108 4 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (72 8 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (60 2 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (52 52 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (48 26 (:REWRITE DEFAULT-<-2))
 (38 14 (:REWRITE DEFAULT-CDR))
 (38 2 (:REWRITE DEFAULT-UNARY-/))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (36 8 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (36 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (32 26 (:REWRITE DEFAULT-<-1))
 (32 18 (:REWRITE DEFAULT-+-2))
 (28 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (26 2 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (22 18 (:REWRITE DEFAULT-+-1))
 (16 4 (:REWRITE MEMBER-WHEN-ATOM))
 (16 4 (:REWRITE DEFAULT-CAR))
 (16 4 (:REWRITE COMMUTATIVITY-OF-+))
 (14 14 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (12 12 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 4 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (10 4 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (10 4 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE PSEUDO-ROOT-D-E-CORRECTNESS-1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 2 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (8 2 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (8 2 (:LINEAR LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (6 6 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (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 SET-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (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 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 4 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (4 2 (:REWRITE NFIX-WHEN-ZP))
 (4 2 (:REWRITE NFIX-WHEN-NATP))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 2 (:REWRITE DEFAULT-NUMERATOR))
 (4 2 (:REWRITE DEFAULT-DENOMINATOR))
 (4 2 (:REWRITE DEFAULT-*-2))
 (4 2 (:DEFINITION IFIX))
 (2 2 (:TYPE-PRESCRIPTION FAT32$C-P))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-2))
 (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 NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (2 2 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (2 2 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (2 2 (:REWRITE DEFAULT-*-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(LOFAT-MKDIR-REFINEMENT-LEMMA-30
 (294097 19791 (:REWRITE NFIX-WHEN-ZP))
 (216241 2584 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (127137 842 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (109929 55277 (:REWRITE DEFAULT-<-2))
 (98202 15152 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (83510 16702 (:LINEAR NTH-WHEN-D-E-P))
 (77040 46118 (:REWRITE DEFAULT-+-2))
 (76354 136 (:REWRITE SUBSETP-CONS-2))
 (73632 55277 (:REWRITE DEFAULT-<-1))
 (69186 17 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (68870 4310 (:REWRITE DEFAULT-CAR))
 (67544 285 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (63295 10266 (:REWRITE DEFAULT-CDR))
 (62501 46118 (:REWRITE DEFAULT-+-1))
 (52500 210 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (43088 11 (:LINEAR LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (39102 39102 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (36190 11 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (33410 11 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-2))
 (28756 230 (:REWRITE FATI-OF-PLACE-CONTENTS-DISJOINT))
 (28597 308 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (27719 14 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 (24100 121 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (23045 92 (:DEFINITION ATOM))
 (20881 1199 (:DEFINITION FIND-D-E))
 (19540 50 (:DEFINITION BINARY-APPEND))
 (18796 98 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-27))
 (18537 2323 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (17889 139 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (16356 2316 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (16153 559 (:DEFINITION UPDATE-NTH))
 (14490 210 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (12600 210 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (12600 210 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (12244 16 (:REWRITE ROOT-D-E-LIST-OF-UPDATE-DIR-CONTENTS))
 (12021 283 (:DEFINITION PLACE-D-E))
 (10303 5031 (:REWRITE NTH-WHEN-D-E-P . 2))
 (9037 16 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (8688 24 (:REWRITE NON-FREE-INDEX-LISTP-OF-UPDATE-NTH))
 (8351 8351 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (8351 8351 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
 (8304 216 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (7991 1482 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (7766 4594 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (7228 66 (:DEFINITION PUT-ASSOC-EQUAL))
 (6438 34 (:REWRITE SET-EQUIV-OF-NIL))
 (5938 577 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (5383 181 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-2))
 (4702 4702 (:TYPE-PRESCRIPTION ATOM))
 (4688 4688 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4356 299 (:REWRITE MEMBER-WHEN-ATOM))
 (4150 132 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (4123 57 (:REWRITE LEN-UPDATE-NTH))
 (3764 16 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (3708 824 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (3591 305 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (3516 1172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3516 1172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3258 206 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (2968 2968 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (2857 7 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-UPDATE-DIR-CONTENTS))
 (2425 109 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-2))
 (2344 2344 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2262 16 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-5))
 (2216 2216 (:REWRITE SUBSETP-MEMBER . 2))
 (2216 2216 (:REWRITE SUBSETP-MEMBER . 1))
 (2064 283 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (1958 969 (:REWRITE DEFAULT-*-2))
 (1565 1565 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (1565 1565 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
 (1463 1463 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1446 1446 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (1431 371 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (1396 212 (:DEFINITION ASSOC-EQUAL))
 (1372 196 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1242 687 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1193 969 (:REWRITE DEFAULT-*-1))
 (1172 1172 (:LINEAR POSITION-WHEN-MEMBER))
 (1172 1172 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1104 64 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (1050 210 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (896 128 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (849 283 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (802 106 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (795 795 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (788 2 (:REWRITE SUBSETP-CONS-SAME))
 (770 49 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-7))
 (767 299 (:REWRITE NO-DUPLICATESP-OF-MEMBER))
 (758 758 (:REWRITE SUBSETP-TRANS2))
 (758 758 (:REWRITE SUBSETP-TRANS))
 (757 74 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (744 62 (:REWRITE HIFAT-EQUIV-OF-CONS-LEMMA-2))
 (725 301 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-2))
 (674 74 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-31))
 (660 288 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (610 610 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-7))
 (555 359 (:REWRITE NTH-WHEN-D-E-P . 3))
 (555 74 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (552 299 (:REWRITE DEFAULT-UNARY-MINUS))
 (512 104 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (478 478 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (399 57 (:DEFINITION MAX))
 (392 392 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (384 128 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (383 383 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (374 187 (:REWRITE SET-EQUIV-ASYM))
 (367 103 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (305 305 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 1))
 (305 305 (:REWRITE NON-FREE-INDEX-LIST-LISTP-CORRECTNESS-1))
 (305 305 (:REWRITE INTERSECTP-MEMBER-WHEN-NOT-MEMBER-INTERSECTP))
 (301 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-4))
 (300 300 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (300 300 (:REWRITE INTERSECTP-MEMBER . 3))
 (300 300 (:REWRITE INTERSECTP-MEMBER . 2))
 (300 300 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (298 298 (:REWRITE SUBSETP-MEMBER . 4))
 (298 298 (:REWRITE SUBSETP-MEMBER . 3))
 (279 279 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (260 65 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (245 49 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (233 233 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (228 24 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (187 187 (:TYPE-PRESCRIPTION SET-EQUIV))
 (186 62 (:REWRITE HIFAT-EQUIV-OF-CONS-LEMMA-3))
 (185 37 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (178 178 (:REWRITE SUBSETP-OF-CDR))
 (174 174 (:REWRITE INTERSECTP-MEMBER . 1))
 (174 174 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (165 1 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (160 160 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (120 1 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (114 38 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (111 37 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (110 110 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (109 109 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (108 24 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE))
 (103 103 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (98 98 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (98 16 (:REWRITE MEMBER-OF-CONS))
 (92 92 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (74 74 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (74 74 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (74 74 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (72 24 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (72 24 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-6))
 (70 1 (:DEFINITION CEILING))
 (52 52 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-1))
 (49 49 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (49 49 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (49 49 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (46 46 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (40 40 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-66))
 (37 37 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (36 4 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (34 33 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-7))
 (30 6 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (30 1 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (26 13 (:REWRITE ROOT-D-E-LIST-OF-PLACE-CONTENTS-COINCIDENT))
 (25 25 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (19 1 (:REWRITE DEFAULT-UNARY-/))
 (16 16 (:TYPE-PRESCRIPTION INTEGERP-OF-ROOT-D-E-LIST))
 (15 15 (:REWRITE NOT-M1-REGULAR-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (14 2 (:REWRITE MEMBER-EQUAL-NTH))
 (10 10 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (5 5 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (4 4 (:TYPE-PRESCRIPTION STRINGP-OF-IMPLODE))
 (4 4 (:REWRITE MEMBER-OF-CAR))
 (4 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 1))
 (2 1 (:REWRITE DEFAULT-NUMERATOR))
 (2 1 (:REWRITE DEFAULT-DENOMINATOR))
 (2 1 (:DEFINITION IFIX))
 (1 1 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (1 1 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 )