(ABS-FIND-FILE-HELPER
 (1929 653 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1014 13 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (601 20 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (592 592 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (491 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (350 8 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (328 7 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (315 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (251 24 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (247 37 (:DEFINITION ASSOC-EQUAL))
 (199 67 (:REWRITE DEFAULT-CDR))
 (182 7 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (177 17 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (155 8 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (151 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (141 17 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (125 125 (:REWRITE DEFAULT-CAR))
 (116 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (104 27 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (88 11 (:DEFINITION MEMBER-EQUAL))
 (84 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (77 7 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (72 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (69 17 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (57 17 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (56 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (48 48 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (47 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (45 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (41 41 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (41 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (39 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (30 30 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (29 29 (:TYPE-PRESCRIPTION M1-FILE-P))
 (27 11 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (22 22 (:REWRITE SUBSETP-MEMBER . 2))
 (22 22 (:REWRITE SUBSETP-MEMBER . 1))
 (21 7 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (20 20 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (18 6 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (17 17 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (14 14 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (14 14 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (10 10 (:REWRITE SUBSETP-TRANS2))
 (10 10 (:REWRITE SUBSETP-TRANS))
 (10 10 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (7 7 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (7 7 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (7 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(NATP-OF-ABS-FIND-FILE-HELPER
 (2186 114 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2020 37 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1660 26 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1044 86 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1017 15 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (909 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (705 235 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (561 25 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (552 37 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (424 59 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (409 25 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (388 56 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (350 25 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (340 33 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (308 35 (:DEFINITION ASSOC-EQUAL))
 (305 305 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (282 24 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (251 34 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (237 15 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (232 56 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (195 59 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (195 59 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (189 114 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (182 182 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (167 167 (:TYPE-PRESCRIPTION ABS-FS-P))
 (165 33 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (162 24 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (149 149 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (141 9 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (129 129 (:REWRITE DEFAULT-CAR))
 (121 121 (:REWRITE DEFAULT-CDR))
 (118 118 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (114 3 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (93 34 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (75 25 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (75 15 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (68 68 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (68 68 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (68 68 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (62 62 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (56 56 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (50 50 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (39 3 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (34 34 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (33 33 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (30 30 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (29 29 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (25 25 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (21 21 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (15 15 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (9 3 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (3 3 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(ABS-FIND-FILE-HELPER-OF-FAT32-FILENAME-LIST-FIX
 (6551 280 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5844 109 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5398 100 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (4403 65 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3922 246 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2217 61 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1646 60 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1596 532 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1536 109 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1222 161 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1023 65 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (997 61 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (902 91 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (854 61 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (851 100 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (779 116 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (696 696 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (694 82 (:DEFINITION ASSOC-EQUAL))
 (561 161 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (561 161 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (490 13 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (489 116 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (488 488 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (463 280 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (455 91 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (418 418 (:TYPE-PRESCRIPTION ABS-FS-P))
 (361 314 (:REWRITE DEFAULT-CDR))
 (335 316 (:REWRITE DEFAULT-CAR))
 (325 65 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (322 322 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (312 48 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (261 100 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (200 200 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (200 200 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (200 200 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (183 61 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (180 12 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (174 174 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (169 13 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (136 136 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (130 130 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (122 122 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (116 116 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (102 14 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (100 100 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (68 68 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (65 65 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (65 65 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (61 61 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (44 44 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (42 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (39 13 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (25 25 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (25 25 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (25 25 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (13 13 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-ABS-FIND-FILE-HELPER-2
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-FIND-FILE-HELPER-OF-ABS-FS-FIX
 (2628 128 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2543 48 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1988 35 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1328 98 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1119 31 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (786 262 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (695 48 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (524 73 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (499 31 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (458 43 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (434 31 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (376 43 (:DEFINITION ASSOC-EQUAL))
 (356 58 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (355 31 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (348 348 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (309 42 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (256 58 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (253 21 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (241 73 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (241 73 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (230 230 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (221 128 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (215 43 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (204 30 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (187 187 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (168 164 (:REWRITE DEFAULT-CAR))
 (159 155 (:REWRITE DEFAULT-CDR))
 (146 146 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (141 9 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (115 42 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (114 3 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (93 31 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (84 84 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (84 84 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (84 84 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (78 78 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (68 68 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (62 62 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (58 58 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (43 43 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (42 42 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (39 3 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (35 35 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (31 31 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (26 26 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (24 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (13 13 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (13 13 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (13 13 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (9 3 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-P))
 )
(ABS-FIND-FILE-HELPER-OF-APPEND-1
 (15160 755 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (14334 278 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (12805 248 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (8160 150 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (7885 604 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6540 174 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (3430 132 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3175 431 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2839 315 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2780 164 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2296 164 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2172 267 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2079 316 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2028 676 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1884 145 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1872 220 (:DEFINITION ASSOC-EQUAL))
 (1500 128 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1449 421 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1449 421 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1314 862 (:REWRITE DEFAULT-CDR))
 (1303 294 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1277 755 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1242 1242 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1185 237 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1116 1116 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1036 1036 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1029 259 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1005 1005 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (968 267 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (876 826 (:REWRITE DEFAULT-CAR))
 (864 122 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (862 862 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (650 130 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (544 544 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (514 514 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (514 514 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (496 496 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (492 164 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (338 338 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (294 294 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (290 290 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (288 288 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (267 267 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (237 237 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (174 174 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (172 172 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (170 85 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (148 148 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (144 144 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (132 22 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (130 130 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (87 87 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (83 83 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (78 26 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (76 24 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (63 63 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (63 63 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (36 36 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (32 4 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (21 8 (:REWRITE CAR-OF-APPEND))
 (13 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (10 10 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (8 4 (:REWRITE DEFAULT-<-2))
 (6 1 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (4 4 (:REWRITE DEFAULT-<-1))
 (3 1 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE SET::IN-SET))
 )
(ABS-FIND-FILE-HELPER-WHEN-ATOM
 (15 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(NO-DUPLICATESP-EQUAL-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER
 (1926 125 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1764 12 (:DEFINITION MEMBER-EQUAL))
 (1662 32 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1504 24 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1024 24 (:REWRITE SUBSETP-CAR-MEMBER))
 (976 108 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (930 113 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (808 24 (:DEFINITION NATP))
 (786 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (772 24 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (722 241 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (717 239 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (676 40 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (648 24 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (648 24 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (534 48 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (511 71 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (470 71 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (450 30 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (420 30 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (360 24 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (336 48 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (322 40 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (303 303 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (300 87 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (296 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (286 32 (:DEFINITION ASSOC-EQUAL))
 (265 23 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (264 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (247 15 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (235 71 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (235 71 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (230 7 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (228 228 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (191 125 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (184 184 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (156 156 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (150 23 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (143 143 (:REWRITE DEFAULT-CAR))
 (140 28 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (132 132 (:REWRITE DEFAULT-CDR))
 (116 8 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (90 30 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (87 87 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (83 7 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (82 82 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (82 82 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (80 29 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (76 76 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (68 32 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (60 60 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (60 60 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (58 58 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (56 32 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (56 28 (:REWRITE SET-EQUIV-ASYM))
 (50 50 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (48 48 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (48 48 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (48 8 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (48 8 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (44 44 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (36 36 (:TYPE-PRESCRIPTION SET-EQUIV))
 (36 36 (:REWRITE SUBSETP-TRANS2))
 (36 36 (:REWRITE SUBSETP-TRANS))
 (32 4 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (30 30 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (28 28 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (25 25 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (25 25 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (24 24 (:REWRITE SUBSETP-OF-CDR))
 (24 24 (:REWRITE SUBSETP-MEMBER . 4))
 (24 24 (:REWRITE SUBSETP-MEMBER . 3))
 (24 24 (:REWRITE SUBSETP-MEMBER . 2))
 (24 24 (:REWRITE SUBSETP-MEMBER . 1))
 (24 24 (:REWRITE MEMBER-WHEN-ATOM))
 (24 24 (:REWRITE INTERSECTP-MEMBER . 3))
 (24 24 (:REWRITE INTERSECTP-MEMBER . 2))
 (24 24 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (24 24 (:REWRITE DEFAULT-<-2))
 (24 24 (:REWRITE DEFAULT-<-1))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (16 4 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (12 12 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (12 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (11 11 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (9 3 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (8 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (8 8 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (8 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE SUBSETP-REFL))
 )
(ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1
 (8325 14 (:DEFINITION ABS-FILE-ALIST-P))
 (5540 258 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4666 2 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (4334 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4252 173 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4251 127 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (4213 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4209 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (3992 129 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2414 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2240 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2199 733 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1988 168 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1466 733 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (810 14 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (771 14 (:DEFINITION NATP))
 (674 14 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (476 44 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (450 14 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (369 309 (:REWRITE DEFAULT-CDR))
 (362 22 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (298 298 (:TYPE-PRESCRIPTION ABS-FS-P))
 (281 281 (:REWRITE DEFAULT-CAR))
 (280 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (272 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (264 258 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (261 52 (:DEFINITION ASSOC-EQUAL))
 (220 20 (:DEFINITION LEN))
 (204 14 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (203 47 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (196 4 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (196 4 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (196 4 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (172 172 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (168 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (144 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (134 14 (:DEFINITION ALISTP))
 (132 8 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (132 8 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (132 8 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (112 28 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (109 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (108 108 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (106 106 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (105 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (103 27 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (96 55 (:REWRITE DEFAULT-<-1))
 (95 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (88 1 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (60 60 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (60 40 (:REWRITE STR::CONSP-OF-EXPLODE))
 (56 56 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (56 14 (:DEFINITION STRIP-CARS))
 (56 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (55 55 (:REWRITE DEFAULT-<-2))
 (52 52 (:TYPE-PRESCRIPTION STRIP-CARS))
 (44 44 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (44 44 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (44 44 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 20 (:REWRITE DEFAULT-+-2))
 (38 38 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (38 38 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (30 30 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (30 30 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (28 28 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (27 17 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (26 26 (:TYPE-PRESCRIPTION D-E-P))
 (24 24 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (23 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (22 22 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (20 20 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (20 20 (:REWRITE DEFAULT-+-1))
 (20 20 (:LINEAR LEN-WHEN-PREFIXP))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 10 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (16 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (15 15 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (12 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (7 7 (:TYPE-PRESCRIPTION M1-FILE-P))
 (7 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER
 (33274 890 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (32228 98 (:DEFINITION ABS-FILE-ALIST-P))
 (15627 423 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (13907 141 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (9976 73 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (9626 138 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (8930 83 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (7270 83 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (5721 66 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5409 164 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (5287 73 (:DEFINITION NATP))
 (5068 73 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (4917 9 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (4265 18 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (4256 9 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (3045 567 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2944 20 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (2594 744 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2593 253 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2268 20 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (2001 667 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1998 1707 (:REWRITE DEFAULT-CDR))
 (1843 97 (:REWRITE LENGTH-WHEN-STRINGP))
 (1805 60 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1773 421 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1750 227 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1701 7 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1371 210 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1288 324 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1269 144 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1224 1224 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1162 83 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1149 890 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1129 1129 (:REWRITE DEFAULT-CAR))
 (1103 1103 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1067 97 (:DEFINITION LEN))
 (1026 153 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (970 97 (:DEFINITION UNSIGNED-BYTE-P))
 (970 97 (:DEFINITION ALISTP))
 (915 112 (:DEFINITION ASSOC-EQUAL))
 (873 97 (:DEFINITION INTEGER-RANGE-P))
 (841 841 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (776 194 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (744 744 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (734 66 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (680 58 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (605 121 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (583 82 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (482 482 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (482 482 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (461 267 (:REWRITE DEFAULT-<-1))
 (454 454 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (416 416 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (388 388 (:TYPE-PRESCRIPTION STRIP-CARS))
 (388 388 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (388 97 (:DEFINITION STRIP-CARS))
 (386 97 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (371 144 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (342 342 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (322 39 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (294 7 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (291 291 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (291 194 (:REWRITE STR::CONSP-OF-EXPLODE))
 (288 288 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (267 267 (:REWRITE DEFAULT-<-2))
 (249 83 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (203 14 (:REWRITE SUBSETP-CAR-MEMBER))
 (196 7 (:DEFINITION MEMBER-EQUAL))
 (194 194 (:TYPE-PRESCRIPTION D-E-P))
 (194 194 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (194 194 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (194 97 (:REWRITE DEFAULT-+-2))
 (194 97 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (175 42 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (171 171 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (166 166 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (164 164 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (164 164 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (164 164 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (144 144 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (134 35 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (132 132 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (121 121 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (108 18 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (97 97 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (97 97 (:REWRITE DEFAULT-+-1))
 (97 97 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (91 91 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (91 91 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (91 91 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (84 7 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (83 83 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (82 82 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (80 80 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (70 70 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (57 19 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (45 45 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (45 45 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (45 45 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (35 35 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (28 14 (:REWRITE SET-EQUIV-ASYM))
 (15 15 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:TYPE-PRESCRIPTION SET-EQUIV))
 (14 14 (:REWRITE SUBSETP-OF-CDR))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 1))
 (10 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (7 7 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (7 7 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (7 7 (:REWRITE SUBSETP-TRANS2))
 (7 7 (:REWRITE SUBSETP-TRANS))
 )
(MEMBER-OF-NAMES-AT
 (6299 340 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5740 15 (:REWRITE REMOVE-WHEN-ABSENT))
 (5630 119 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3937 36 (:DEFINITION MEMBER-EQUAL))
 (3453 44 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3290 5 (:DEFINITION REMOVE-EQUAL))
 (2871 83 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2654 8 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2518 8 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2154 718 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2096 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1376 193 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1302 70 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1280 123 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1259 187 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1211 83 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1162 83 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (897 85 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (813 45 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (797 114 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (746 683 (:REWRITE DEFAULT-CAR))
 (679 183 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (647 647 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (644 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (633 193 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (633 193 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (589 340 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (568 568 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (550 101 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (528 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (525 31 (:DEFINITION NATP))
 (504 77 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (496 72 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (485 97 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (484 442 (:REWRITE DEFAULT-CDR))
 (471 471 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (386 386 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (368 16 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (367 114 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (360 16 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (358 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (350 13 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (334 8 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (310 310 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (272 32 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (266 62 (:DEFINITION STRIP-CARS))
 (249 83 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (232 232 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (220 220 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (220 220 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (212 155 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (208 16 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (194 194 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (183 183 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (182 14 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (168 32 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (144 116 (:REWRITE CONSP-OF-STRIP-CARS))
 (124 32 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (124 32 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (124 32 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (114 114 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (104 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (97 97 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (97 13 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (83 83 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (79 79 (:REWRITE SUBSETP-MEMBER . 2))
 (64 64 (:REWRITE SUBSETP-MEMBER . 4))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 2))
 (64 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (60 60 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (60 7 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (56 32 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (46 46 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (43 43 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (40 40 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (40 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (39 13 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (32 32 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (32 32 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (32 32 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (32 23 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (31 31 (:TYPE-PRESCRIPTION NATP))
 (31 31 (:REWRITE DEFAULT-<-2))
 (31 31 (:REWRITE DEFAULT-<-1))
 (28 28 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (28 28 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION SET-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (17 17 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (13 13 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (12 4 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (10 10 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (8 8 (:REWRITE SUBSETP-REFL))
 (8 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (5 5 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 )
(ABS-FIND-FILE
 (3040 89 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2842 17 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2654 39 (:REWRITE LEN-WHEN-PREFIXP))
 (1882 42 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1263 40 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (867 153 (:DEFINITION LEN))
 (654 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (609 162 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (509 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (451 39 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (437 101 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (368 2 (:DEFINITION NTHCDR))
 (320 320 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (310 157 (:REWRITE DEFAULT-+-2))
 (252 6 (:REWRITE ZP-OPEN))
 (251 7 (:REWRITE NFIX-WHEN-ZP))
 (240 80 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (240 80 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (232 232 (:REWRITE DEFAULT-CDR))
 (192 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (164 164 (:LINEAR LEN-WHEN-PREFIXP))
 (157 157 (:REWRITE DEFAULT-+-1))
 (129 85 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (115 23 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (101 53 (:REWRITE DEFAULT-<-2))
 (93 53 (:REWRITE DEFAULT-<-1))
 (88 85 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (85 85 (:REWRITE DEFAULT-CAR))
 (83 83 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (78 78 (:REWRITE SUBSETP-TRANS2))
 (78 78 (:REWRITE SUBSETP-TRANS))
 (74 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (71 71 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (71 71 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (69 1 (:REWRITE CONSP-OF-NTHCDR))
 (49 40 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (43 40 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (40 40 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (40 40 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (40 40 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (40 40 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (23 23 (:REWRITE SUBSETP-OF-CDR))
 (11 7 (:REWRITE NFIX-WHEN-NATP))
 (10 4 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7 7 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 )
(NATP-OF-ABS-FIND-FILE
 (15412 195 (:REWRITE LEN-WHEN-PREFIXP))
 (13180 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (12122 118 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9300 187 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7386 120 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6106 902 (:DEFINITION LEN))
 (5752 318 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5084 928 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1848 1848 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1820 918 (:REWRITE DEFAULT-+-2))
 (1386 462 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1386 462 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1376 8 (:DEFINITION NTHCDR))
 (1206 1206 (:REWRITE DEFAULT-CDR))
 (1104 24 (:REWRITE ZP-OPEN))
 (1096 24 (:REWRITE NFIX-WHEN-ZP))
 (932 932 (:LINEAR LEN-WHEN-PREFIXP))
 (918 918 (:REWRITE DEFAULT-+-1))
 (752 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (696 8 (:REWRITE CONSP-OF-NTHCDR))
 (536 32 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (496 322 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (460 236 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (442 231 (:REWRITE DEFAULT-<-2))
 (412 231 (:REWRITE DEFAULT-<-1))
 (288 288 (:REWRITE DEFAULT-CAR))
 (236 116 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (236 116 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (224 64 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (168 168 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (162 114 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (152 32 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (152 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (144 144 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (144 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (128 64 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (120 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (119 119 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (118 118 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (118 118 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (118 118 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (118 118 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (112 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (64 64 (:TYPE-PRESCRIPTION STRING-LISTP))
 (64 64 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (64 64 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (64 32 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (60 10 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (56 56 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (48 16 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (40 24 (:REWRITE NFIX-WHEN-NATP))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (34 22 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (32 32 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (32 32 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (32 32 (:REWRITE SET::IN-SET))
 (32 32 (:REWRITE CONSP-OF-LIST-FIX))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (24 8 (:REWRITE COMMUTATIVITY-OF-+))
 (16 16 (:TYPE-PRESCRIPTION ZP))
 (16 16 (:TYPE-PRESCRIPTION NFIX))
 (10 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE SUBSETP-REFL))
 (5 5 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(ABS-FIND-FILE-OF-FAT32-FILENAME-LIST-FIX
 (19100 239 (:REWRITE LEN-WHEN-PREFIXP))
 (16750 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (14970 152 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (11511 229 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8826 156 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (7981 1173 (:DEFINITION LEN))
 (7173 385 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (6652 1172 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2370 1197 (:REWRITE DEFAULT-+-2))
 (2328 2328 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2064 12 (:DEFINITION NTHCDR))
 (1746 582 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1746 582 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1559 1555 (:REWRITE DEFAULT-CDR))
 (1516 34 (:REWRITE ZP-OPEN))
 (1494 32 (:REWRITE NFIX-WHEN-ZP))
 (1197 1197 (:REWRITE DEFAULT-+-1))
 (1180 1180 (:LINEAR LEN-WHEN-PREFIXP))
 (942 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (870 10 (:REWRITE CONSP-OF-NTHCDR))
 (692 41 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (611 395 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (578 298 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (550 287 (:REWRITE DEFAULT-<-2))
 (506 287 (:REWRITE DEFAULT-<-1))
 (366 362 (:REWRITE DEFAULT-CAR))
 (299 84 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (292 148 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (292 148 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (218 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (215 215 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (207 144 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (196 41 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (188 188 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (186 42 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (170 84 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (157 41 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (152 152 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (152 152 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (152 152 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (152 152 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (142 142 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (140 30 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (86 86 (:TYPE-PRESCRIPTION STRING-LISTP))
 (86 86 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (86 43 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (84 84 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (70 70 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (60 20 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (58 34 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (52 32 (:REWRITE NFIX-WHEN-NATP))
 (50 20 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (50 20 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (43 43 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (43 43 (:REWRITE SET::IN-SET))
 (41 41 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (41 41 (:REWRITE CONSP-OF-LIST-FIX))
 (36 12 (:REWRITE COMMUTATIVITY-OF-+))
 (30 30 (:REWRITE SUBSETP-TRANS2))
 (30 30 (:REWRITE SUBSETP-TRANS))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (22 22 (:TYPE-PRESCRIPTION ZP))
 (22 22 (:TYPE-PRESCRIPTION NFIX))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (12 12 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 10 (:REWRITE SUBSETP-REFL))
 (6 6 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-ABS-FIND-FILE-2
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-FIND-FILE-OF-TRUE-LIST-FIX
 (31259 385 (:REWRITE LEN-WHEN-PREFIXP))
 (26534 32 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (24697 228 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (18791 369 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (15007 232 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (12552 1854 (:DEFINITION LEN))
 (11759 645 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (10534 1904 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3792 3792 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3744 1888 (:REWRITE DEFAULT-+-2))
 (2844 948 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2844 948 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2752 16 (:DEFINITION NTHCDR))
 (2520 2508 (:REWRITE DEFAULT-CDR))
 (2208 48 (:REWRITE ZP-OPEN))
 (2192 48 (:REWRITE NFIX-WHEN-ZP))
 (1912 1912 (:LINEAR LEN-WHEN-PREFIXP))
 (1888 1888 (:REWRITE DEFAULT-+-1))
 (1546 86 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1504 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1392 16 (:REWRITE CONSP-OF-NTHCDR))
 (1022 653 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (904 456 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (866 449 (:REWRITE DEFAULT-<-2))
 (802 449 (:REWRITE DEFAULT-<-1))
 (614 602 (:REWRITE DEFAULT-CAR))
 (602 172 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (458 224 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (458 224 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (436 86 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (376 376 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (344 172 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (313 220 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (304 32 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (276 60 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (247 247 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (233 63 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (228 228 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (228 228 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (228 228 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (228 228 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (224 48 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (172 172 (:TYPE-PRESCRIPTION STRING-LISTP))
 (172 172 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (172 172 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (172 86 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (114 19 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (112 112 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (96 32 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (86 86 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (86 86 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (86 86 (:REWRITE SET::IN-SET))
 (80 48 (:REWRITE NFIX-WHEN-NATP))
 (80 32 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (80 32 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (68 44 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (48 48 (:REWRITE SUBSETP-TRANS2))
 (48 48 (:REWRITE SUBSETP-TRANS))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (48 16 (:REWRITE COMMUTATIVITY-OF-+))
 (32 32 (:TYPE-PRESCRIPTION ZP))
 (32 32 (:TYPE-PRESCRIPTION NFIX))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (16 16 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (16 16 (:REWRITE SUBSETP-REFL))
 (12 12 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(LIST-EQUIV-IMPLIES-EQUAL-ABS-FIND-FILE-1
 (22 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (13 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(ABS-FIND-FILE-WHEN-ATOM
 (180 7 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (49 49 (:TYPE-PRESCRIPTION LEN))
 (47 7 (:DEFINITION LEN))
 (41 36 (:REWRITE DEFAULT-CDR))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (28 23 (:REWRITE DEFAULT-CAR))
 (25 7 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 7 (:REWRITE DEFAULT-<-2))
 (14 7 (:REWRITE DEFAULT-+-2))
 (7 7 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (7 7 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (7 7 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (7 7 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (7 7 (:REWRITE DEFAULT-<-1))
 (7 7 (:REWRITE DEFAULT-+-1))
 (3 3 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (3 3 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(ABS-FILE-P-OF-ABS-FIND-FILE-HELPER
 (1539 81 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1417 27 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1043 17 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (702 63 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (678 10 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (642 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (582 194 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (424 20 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (413 31 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (300 42 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (291 43 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (282 18 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (262 28 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (252 18 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (250 250 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (249 28 (:DEFINITION ASSOC-EQUAL))
 (232 20 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (174 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (171 43 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (158 10 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (138 42 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (138 42 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (136 136 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (135 81 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (132 20 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (126 126 (:TYPE-PRESCRIPTION ABS-FS-P))
 (120 24 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (112 112 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (104 104 (:REWRITE DEFAULT-CAR))
 (103 7 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (88 88 (:REWRITE DEFAULT-CDR))
 (84 84 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (76 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (66 24 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (56 4 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (54 18 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (52 52 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (50 10 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (48 48 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (48 48 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (48 48 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (43 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (36 36 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (26 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (24 24 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (24 24 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (22 22 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (20 20 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (18 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (12 12 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (12 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (10 10 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-FILE-P-OF-ABS-FIND-FILE
 (15745 197 (:REWRITE LEN-WHEN-PREFIXP))
 (13238 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (12469 118 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9420 189 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7659 120 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6220 918 (:DEFINITION LEN))
 (5844 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5204 942 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1876 1876 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1852 934 (:REWRITE DEFAULT-+-2))
 (1407 469 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1407 469 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1376 8 (:DEFINITION NTHCDR))
 (1236 1236 (:REWRITE DEFAULT-CDR))
 (1104 24 (:REWRITE ZP-OPEN))
 (1096 24 (:REWRITE NFIX-WHEN-ZP))
 (946 946 (:LINEAR LEN-WHEN-PREFIXP))
 (934 934 (:REWRITE DEFAULT-+-1))
 (752 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (696 8 (:REWRITE CONSP-OF-NTHCDR))
 (536 32 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (515 332 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (460 236 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (442 229 (:REWRITE DEFAULT-<-2))
 (410 229 (:REWRITE DEFAULT-<-1))
 (298 298 (:REWRITE DEFAULT-CAR))
 (236 116 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (236 116 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (224 64 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (168 168 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (162 114 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (152 32 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (152 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (146 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (144 144 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (128 64 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (124 124 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (120 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (118 118 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (118 118 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (118 118 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (118 118 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (112 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (84 6 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (66 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (64 64 (:TYPE-PRESCRIPTION STRING-LISTP))
 (64 64 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (64 64 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (64 32 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (60 10 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (56 56 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (48 16 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (40 24 (:REWRITE NFIX-WHEN-NATP))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (40 16 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (34 22 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (32 32 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (32 32 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (32 32 (:REWRITE SET::IN-SET))
 (32 32 (:REWRITE CONSP-OF-LIST-FIX))
 (30 6 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (24 8 (:REWRITE COMMUTATIVITY-OF-+))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-P))
 (18 6 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION ZP))
 (16 16 (:TYPE-PRESCRIPTION NFIX))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (12 6 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE SUBSETP-REFL))
 (5 5 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-35
 (44195 545 (:REWRITE LEN-WHEN-PREFIXP))
 (38065 46 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (34767 324 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (26762 522 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20906 330 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (17670 2601 (:DEFINITION LEN))
 (16770 902 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (14932 2640 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5256 5256 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5248 2647 (:REWRITE DEFAULT-+-2))
 (3956 23 (:DEFINITION NTHCDR))
 (3942 1314 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3942 1314 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3513 3506 (:REWRITE DEFAULT-CDR))
 (3174 69 (:REWRITE ZP-OPEN))
 (3151 69 (:REWRITE NFIX-WHEN-ZP))
 (2652 2652 (:LINEAR LEN-WHEN-PREFIXP))
 (2647 2647 (:REWRITE DEFAULT-+-1))
 (2162 23 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (2001 23 (:REWRITE CONSP-OF-NTHCDR))
 (1497 90 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1430 914 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1291 647 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1228 637 (:REWRITE DEFAULT-<-2))
 (1136 637 (:REWRITE DEFAULT-<-1))
 (847 840 (:REWRITE DEFAULT-CAR))
 (651 318 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (651 318 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (630 180 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (473 473 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (444 312 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (437 46 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (425 90 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (406 406 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (384 84 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (360 180 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (345 345 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (331 90 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (324 324 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (324 324 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (324 324 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (324 324 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (322 69 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (180 180 (:TYPE-PRESCRIPTION STRING-LISTP))
 (180 180 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (180 180 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (180 90 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (162 27 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (161 161 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (147 57 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (138 46 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (115 69 (:REWRITE NFIX-WHEN-NATP))
 (115 46 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (115 46 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (100 64 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (90 90 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (90 90 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (90 90 (:REWRITE SET::IN-SET))
 (90 90 (:REWRITE CONSP-OF-LIST-FIX))
 (69 69 (:REWRITE SUBSETP-TRANS2))
 (69 69 (:REWRITE SUBSETP-TRANS))
 (69 69 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (69 23 (:REWRITE COMMUTATIVITY-OF-+))
 (46 46 (:TYPE-PRESCRIPTION ZP))
 (46 46 (:TYPE-PRESCRIPTION NFIX))
 (30 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (30 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (23 23 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (23 23 (:REWRITE SUBSETP-REFL))
 (18 18 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE
 (15745 197 (:REWRITE LEN-WHEN-PREFIXP))
 (13238 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (12469 118 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9420 189 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7659 120 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6220 918 (:DEFINITION LEN))
 (5844 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5204 942 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1876 1876 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1852 934 (:REWRITE DEFAULT-+-2))
 (1407 469 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1407 469 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1376 8 (:DEFINITION NTHCDR))
 (1236 1236 (:REWRITE DEFAULT-CDR))
 (1104 24 (:REWRITE ZP-OPEN))
 (1096 24 (:REWRITE NFIX-WHEN-ZP))
 (946 946 (:LINEAR LEN-WHEN-PREFIXP))
 (934 934 (:REWRITE DEFAULT-+-1))
 (752 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (696 8 (:REWRITE CONSP-OF-NTHCDR))
 (536 32 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (515 332 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (460 236 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (442 229 (:REWRITE DEFAULT-<-2))
 (410 229 (:REWRITE DEFAULT-<-1))
 (298 298 (:REWRITE DEFAULT-CAR))
 (246 18 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (236 116 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (236 116 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (224 64 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (198 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (168 168 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (168 12 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (162 114 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (152 32 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (152 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (146 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (144 144 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (144 12 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (128 64 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (124 124 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (120 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (118 118 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (118 118 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (118 118 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (118 118 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (112 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (83 13 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (66 6 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (64 64 (:TYPE-PRESCRIPTION STRING-LISTP))
 (64 64 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (64 64 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (64 32 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (60 10 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (56 56 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (48 16 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (41 13 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (40 24 (:REWRITE NFIX-WHEN-NATP))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (40 16 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (36 12 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (34 22 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (33 33 (:TYPE-PRESCRIPTION M1-FILE-P))
 (32 32 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (32 32 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (32 32 (:REWRITE SET::IN-SET))
 (32 32 (:REWRITE CONSP-OF-LIST-FIX))
 (30 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (27 13 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-FS-P))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (24 8 (:REWRITE COMMUTATIVITY-OF-+))
 (24 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (18 6 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION ZP))
 (16 16 (:TYPE-PRESCRIPTION NFIX))
 (14 14 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (14 14 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (14 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (12 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE SUBSETP-REFL))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 (5 5 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1
 (26 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (15 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (15 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (11 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2
 (360 120 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (360 120 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (194 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (132 132 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (104 2 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (97 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (63 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (45 6 (:DEFINITION ASSOC-EQUAL))
 (43 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (40 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (38 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (34 7 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (33 3 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (31 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (30 9 (:REWRITE DEFAULT-CDR))
 (30 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (21 21 (:REWRITE DEFAULT-CAR))
 (14 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (13 3 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (11 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (7 7 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6 2 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 )
(ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P
 (9494 66 (:DEFINITION M1-FILE-ALIST-P))
 (6518 86 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2692 302 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1708 10 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1572 60 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1254 66 (:REWRITE LENGTH-WHEN-STRINGP))
 (1160 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1132 928 (:REWRITE DEFAULT-CDR))
 (1077 359 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1016 132 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (992 8 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (780 65 (:DEFINITION ASSOC-EQUAL))
 (726 66 (:DEFINITION LEN))
 (708 148 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (701 695 (:REWRITE DEFAULT-CAR))
 (660 66 (:DEFINITION UNSIGNED-BYTE-P))
 (660 66 (:DEFINITION ALISTP))
 (618 618 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (610 96 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (594 66 (:DEFINITION INTEGER-RANGE-P))
 (528 132 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (489 489 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (378 82 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (350 32 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (332 265 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (302 302 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (264 264 (:TYPE-PRESCRIPTION STRIP-CARS))
 (264 264 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (264 132 (:REWRITE DEFAULT-<-1))
 (264 66 (:DEFINITION STRIP-CARS))
 (250 10 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (198 198 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (198 198 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (198 132 (:REWRITE STR::CONSP-OF-EXPLODE))
 (148 148 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (148 148 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (140 66 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (132 132 (:TYPE-PRESCRIPTION D-E-P))
 (132 132 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (132 132 (:REWRITE DEFAULT-<-2))
 (132 132 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (132 66 (:REWRITE DEFAULT-+-2))
 (132 66 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (120 32 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (118 13 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (112 8 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (99 99 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (66 66 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (66 66 (:REWRITE DEFAULT-+-1))
 (52 52 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (48 48 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (30 1 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (24 8 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (13 13 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (13 13 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (13 13 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12 12 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (11 11 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (11 1 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-FIND-FILE-HELPER-OF-CTX-APP-LEMMA-1
 (2383 179 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2152 20 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1596 60 (:REWRITE REMOVE-WHEN-ABSENT))
 (1578 66 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1420 20 (:DEFINITION REMOVE-EQUAL))
 (1211 19 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (1201 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (924 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (864 48 (:DEFINITION MEMBER-EQUAL))
 (864 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (854 10 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (768 57 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (756 66 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (702 6 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (598 46 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (480 96 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (407 407 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (359 179 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (345 12 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (336 336 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (288 96 (:DEFINITION NATP))
 (259 43 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (249 83 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (243 81 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (240 240 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (230 27 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (220 44 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (208 208 (:REWRITE DEFAULT-CDR))
 (202 202 (:REWRITE DEFAULT-CAR))
 (188 27 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (186 21 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (183 29 (:DEFINITION ASSOC-EQUAL))
 (170 34 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (170 10 (:REWRITE STRINGP-OF-APPEND))
 (149 149 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (132 25 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (124 4 (:REWRITE ABS-FS-P-OF-APPEND))
 (122 122 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (119 119 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (96 96 (:TYPE-PRESCRIPTION NATP))
 (96 96 (:REWRITE SUBSETP-MEMBER . 4))
 (96 96 (:REWRITE SUBSETP-MEMBER . 3))
 (96 96 (:REWRITE SUBSETP-MEMBER . 2))
 (96 96 (:REWRITE SUBSETP-MEMBER . 1))
 (96 96 (:REWRITE MEMBER-WHEN-ATOM))
 (96 96 (:REWRITE INTERSECTP-MEMBER . 3))
 (96 96 (:REWRITE INTERSECTP-MEMBER . 2))
 (96 96 (:REWRITE DEFAULT-<-2))
 (96 96 (:REWRITE DEFAULT-<-1))
 (92 92 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (83 83 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (83 83 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (81 81 (:TYPE-PRESCRIPTION ZP))
 (81 81 (:TYPE-PRESCRIPTION LEN))
 (79 10 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (78 21 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (68 68 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (68 68 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (66 66 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (63 6 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (60 10 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (48 12 (:REWRITE CONSP-OF-APPEND))
 (48 8 (:DEFINITION BINARY-APPEND))
 (42 21 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (40 16 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (40 10 (:DEFINITION ATOM))
 (31 31 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (30 6 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (30 5 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (28 28 (:REWRITE ABS-FS-P-OF-REMOVE))
 (25 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (22 2 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (20 20 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (20 20 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (18 6 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (14 14 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (14 14 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (12 12 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-FIND-FILE-HELPER-OF-CTX-APP-LEMMA-4
 (5367 298 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4005 82 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3825 96 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3650 102 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (3624 51 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2711 251 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2699 89 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2053 69 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1771 75 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1398 466 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1190 96 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1168 152 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (957 26 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (920 56 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (879 135 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (784 56 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (716 70 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (671 108 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (600 600 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (581 67 (:DEFINITION ASSOC-EQUAL))
 (578 135 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (538 46 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (536 152 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (536 152 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (501 75 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (466 298 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (456 101 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (422 422 (:TYPE-PRESCRIPTION ABS-FS-P))
 (422 422 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (408 26 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (352 352 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (350 70 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (312 45 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (304 304 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (287 287 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (264 260 (:REWRITE DEFAULT-CDR))
 (259 255 (:REWRITE DEFAULT-CAR))
 (249 15 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (192 192 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (192 192 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (168 56 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (162 26 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (157 157 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (135 135 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (132 132 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (112 112 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (104 104 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (101 101 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (77 77 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (70 70 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (69 69 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (68 68 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (47 47 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (42 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (26 26 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (22 22 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (22 22 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (22 22 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (21 7 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (8 4 (:REWRITE DEFAULT-<-2))
 (7 7 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE DEFAULT-<-1))
 )
(ABS-FIND-FILE-HELPER-OF-CTX-APP-LEMMA-6
 (144140 41 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (139941 216 (:REWRITE SUBSETP-OF-REMOVE1))
 (125825 3141 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (109220 652 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (102456 382 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (100914 2364 (:REWRITE SUBSETP-MEMBER . 4))
 (88799 1726 (:DEFINITION MEMBER-EQUAL))
 (88504 382 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (61009 9 (:REWRITE ABS-FIND-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (57118 2418 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (55270 1312 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (51759 270 (:REWRITE SUBSETP-OF-REMOVE2))
 (45010 669 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (43817 3452 (:REWRITE SUBSETP-MEMBER . 2))
 (40568 28 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (38318 324 (:REWRITE REMOVE-WHEN-ABSENT))
 (30471 1540 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (29032 764 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (26485 301 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (23262 878 (:DEFINITION NATP))
 (17572 764 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (17460 108 (:DEFINITION REMOVE-EQUAL))
 (16079 1087 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (15924 764 (:REWRITE SUBSETP-CAR-MEMBER))
 (11278 382 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (10242 5868 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (10132 382 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (9932 764 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (9694 6232 (:REWRITE DEFAULT-CAR))
 (9423 54 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (8022 1528 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (7820 7820 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (7298 1808 (:DEFINITION STRIP-CARS))
 (7101 568 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6469 4888 (:REWRITE DEFAULT-CDR))
 (6035 6035 (:REWRITE CONSP-OF-STRIP-CARS))
 (5877 224 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (5649 2934 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5545 494 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5348 1528 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (5348 1528 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (5348 1528 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (4995 2364 (:REWRITE MEMBER-WHEN-ATOM))
 (4287 568 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3584 1547 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3452 3452 (:REWRITE SUBSETP-MEMBER . 1))
 (3056 764 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3009 1659 (:REWRITE SUBSETP-TRANS))
 (2719 170 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2674 1528 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2604 1659 (:REWRITE SUBSETP-TRANS2))
 (2445 815 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2440 488 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2427 517 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (2369 1547 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2365 473 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2364 2364 (:REWRITE SUBSETP-MEMBER . 3))
 (2364 2364 (:REWRITE INTERSECTP-MEMBER . 3))
 (2364 2364 (:REWRITE INTERSECTP-MEMBER . 2))
 (2292 2292 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1910 1910 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (1910 764 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1628 30 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (1528 1528 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (1528 1528 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1528 1528 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1528 1528 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1528 1528 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1497 1497 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (1404 36 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (1146 1146 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1105 221 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (1100 1100 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1084 118 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (1075 1075 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1042 521 (:REWRITE SET-EQUIV-ASYM))
 (988 988 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (977 12 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (960 669 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (946 946 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (946 946 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (886 882 (:REWRITE DEFAULT-<-2))
 (882 882 (:REWRITE DEFAULT-<-1))
 (878 878 (:TYPE-PRESCRIPTION NATP))
 (847 12 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (846 28 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (764 764 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (764 764 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (764 764 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (764 764 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (713 26 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (670 67 (:DEFINITION ASSOC-EQUAL))
 (660 660 (:TYPE-PRESCRIPTION SET-EQUIV))
 (652 652 (:REWRITE MEMBER-OF-STRIP-CARS))
 (568 568 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (549 9 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (534 59 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (532 12 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (517 517 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (494 494 (:REWRITE SUBSETP-OF-CDR))
 (449 20 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (421 421 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (411 41 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (364 37 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (336 33 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (299 39 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (287 20 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (283 37 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (261 28 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (255 15 (:REWRITE STRINGP-OF-APPEND))
 (237 12 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (222 37 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (162 54 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (136 22 (:DEFINITION BINARY-APPEND))
 (130 130 (:TYPE-PRESCRIPTION CONSP-OF-ASSOC-OF-REMOVE))
 (125 25 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (118 118 (:TYPE-PRESCRIPTION ATOM))
 (118 31 (:REWRITE CONSP-OF-APPEND))
 (112 112 (:REWRITE SUBSETP-REFL))
 (87 87 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (83 44 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (81 81 (:TYPE-PRESCRIPTION M1-FILE-P))
 (81 81 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (78 39 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (73 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (68 11 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (63 63 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (61 11 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (60 15 (:DEFINITION ATOM))
 (60 12 (:REWRITE CAR-OF-APPEND))
 (52 52 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (49 49 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (42 21 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (40 40 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (40 40 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (37 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (36 36 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (30 30 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (27 9 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (25 25 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (24 9 (:REWRITE ABS-SEPARATE-CORRECTNESS-1-LEMMA-11))
 (24 6 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (23 23 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (14 1 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (13 13 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 1))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (8 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (6 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (4 4 (:REWRITE CONSP-OF-ASSOC-EQUAL-OF-APPEND))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (2 2 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(ABS-FIND-FILE-HELPER-OF-CTX-APP
 (2131471 2441 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (2073244 5403 (:REWRITE SUBSETP-OF-REMOVE1))
 (1795084 39640 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1244862 40935 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1172282 22752 (:DEFINITION MEMBER-EQUAL))
 (900139 22963 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (867489 27487 (:REWRITE SUBSETP-MEMBER . 4))
 (710606 13512 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (707222 23474 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (642231 6639 (:REWRITE SUBSETP-OF-REMOVE2))
 (501810 11690 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (487833 162611 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (466679 32797 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (399447 6484 (:REWRITE LEN-WHEN-PREFIXP))
 (386568 6472 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (341570 14181 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (333768 6472 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (328739 215180 (:REWRITE DEFAULT-CAR))
 (319440 3851 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (314352 6472 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (306399 46651 (:REWRITE SUBSETP-MEMBER . 2))
 (261940 2132 (:DEFINITION PREFIXP))
 (248612 29505 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (240310 829 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (229554 132506 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (216066 1896 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (208067 8683 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (207823 29848 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (185398 11709 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (182292 104201 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (158196 6484 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (156519 37451 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (138678 66253 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (133710 27354 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (131191 9818 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (121003 1371 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (107694 22923 (:DEFINITION STRIP-CARS))
 (100260 1068 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (99202 1640 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (97972 54708 (:REWRITE CONSP-OF-STRIP-CARS))
 (97936 97936 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (84923 14477 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (81697 29290 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (76311 1964 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (75325 9959 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (69390 9094 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (68113 14477 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (66767 4583 (:DEFINITION REMOVE-EQUAL))
 (65118 33197 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (65020 25936 (:REWRITE MEMBER-WHEN-ATOM))
 (64833 18805 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (64833 18805 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (64242 1896 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (61539 33197 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (58438 58438 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (57781 1436 (:DEFINITION PUT-ASSOC-EQUAL))
 (52589 6157 (:REWRITE NFIX-WHEN-ZP))
 (48228 12783 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (42660 42660 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40908 21106 (:REWRITE DEFAULT-+-2))
 (39869 7521 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (37875 5629 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (35376 1417 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (34237 34237 (:REWRITE SUBSETP-TRANS2))
 (34237 34237 (:REWRITE SUBSETP-TRANS))
 (31995 10665 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (31995 10665 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (31560 1416 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (29373 397 (:REWRITE CONSP-OF-NTHCDR))
 (29208 12214 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (28747 27487 (:REWRITE INTERSECTP-MEMBER . 3))
 (27487 27487 (:REWRITE INTERSECTP-MEMBER . 2))
 (26122 16150 (:REWRITE DEFAULT-<-2))
 (25888 25888 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (25429 2799 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (24428 24428 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (23172 16150 (:REWRITE DEFAULT-<-1))
 (23014 23014 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (23014 23014 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (22395 22395 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (21810 21810 (:LINEAR LEN-WHEN-PREFIXP))
 (21136 21106 (:REWRITE DEFAULT-+-1))
 (20063 20063 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (17716 6472 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (14988 4996 (:DEFINITION NATP))
 (13134 13134 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12944 12944 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (12944 12944 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12944 12944 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12783 12783 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12597 12597 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11989 494 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (11690 11690 (:REWRITE MEMBER-OF-STRIP-CARS))
 (11525 965 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (11172 11172 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (10293 10293 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9646 9646 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (9486 2799 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (9068 9068 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (8530 1243 (:DEFINITION BINARY-APPEND))
 (8231 7846 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7326 1642 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (6678 5481 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (6226 5602 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (6206 2486 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (6091 6091 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6091 6091 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6091 6091 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6091 6091 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (5640 5598 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5280 880 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (5036 5036 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (4996 4996 (:TYPE-PRESCRIPTION NATP))
 (4799 27 (:REWRITE CAR-OF-NTHCDR))
 (4798 4798 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (4565 54 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (4136 1640 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (3726 648 (:REWRITE CONSP-OF-APPEND))
 (3606 979 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (3510 390 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (3456 1152 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (3413 3413 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (3240 412 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (2697 254 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (2640 880 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (2563 2563 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2255 1976 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2220 2220 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (2144 536 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1976 1976 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1976 1976 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1976 1976 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1972 1964 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1964 1964 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (1964 1964 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (1964 1964 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (1760 1760 (:TYPE-PRESCRIPTION STRING-LISTP))
 (1760 1760 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (1760 880 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1706 231 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (1602 1602 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (1536 96 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (1533 1533 (:REWRITE INTERSECTP-MEMBER . 1))
 (1411 371 (:REWRITE ABS-SEPARATE-CORRECTNESS-1-LEMMA-11))
 (1393 199 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (1296 162 (:REWRITE CAR-OF-APPEND))
 (1230 10 (:REWRITE MEMBER-OF-REMOVE))
 (1017 27 (:DEFINITION NTH))
 (912 192 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (880 880 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (880 880 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (880 880 (:REWRITE SET::IN-SET))
 (736 736 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (720 720 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (707 707 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (526 514 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (360 40 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (324 81 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (254 254 (:TYPE-PRESCRIPTION ATOM))
 (220 220 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (165 165 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (129 129 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (90 30 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (75 55 (:REWRITE CONSP-OF-ASSOC-EQUAL-OF-APPEND))
 (48 48 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (27 27 (:REWRITE NTH-WHEN-PREFIXP))
 (7 7 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 )
(ABS-FIND-FILE-OF-REMOVE-ASSOC-1
 (241752 3010 (:REWRITE LEN-WHEN-PREFIXP))
 (191934 271 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (174212 1826 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (137082 2919 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (108715 1842 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (86258 13025 (:DEFINITION LEN))
 (83616 5185 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (26768 26768 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (26320 13295 (:REWRITE DEFAULT-+-2))
 (21352 19046 (:REWRITE DEFAULT-CDR))
 (20076 6692 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (20076 6692 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16129 411 (:REWRITE ZP-OPEN))
 (16018 411 (:REWRITE NFIX-WHEN-ZP))
 (13456 13456 (:LINEAR LEN-WHEN-PREFIXP))
 (13295 13295 (:REWRITE DEFAULT-+-1))
 (11026 135 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (10081 135 (:REWRITE CONSP-OF-NTHCDR))
 (9410 542 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (9147 100 (:DEFINITION MEMBER-EQUAL))
 (8157 125 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (7868 5201 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (7573 4201 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (7113 3757 (:REWRITE DEFAULT-<-2))
 (6732 6442 (:REWRITE DEFAULT-CAR))
 (6565 3757 (:REWRITE DEFAULT-<-1))
 (6380 1105 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6308 646 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (5674 188 (:REWRITE SUBSETP-CAR-MEMBER))
 (4894 2447 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (4507 22 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4303 113 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (4110 1140 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (3652 419 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3593 1796 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (3530 1796 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3347 22 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (3279 52 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (3254 270 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3095 2051 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2982 99 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2948 146 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2845 2845 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2825 546 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (2776 119 (:DEFINITION NATP))
 (2732 271 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2707 542 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2550 2550 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2505 2505 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2328 1140 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (2107 113 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1991 313 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1909 1909 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1896 176 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1826 1826 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1826 1826 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1826 1826 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1826 1826 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1631 120 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1341 624 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1293 624 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1223 113 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1188 1188 (:TYPE-PRESCRIPTION STRING-LISTP))
 (1188 1188 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (1188 594 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1140 1140 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1092 26 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1080 1080 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (1002 226 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (893 47 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (882 312 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (876 144 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (876 144 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (876 144 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (824 419 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (813 411 (:REWRITE NFIX-WHEN-NATP))
 (810 270 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (810 270 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (777 146 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (759 759 (:REWRITE SUBSETP-TRANS2))
 (759 759 (:REWRITE SUBSETP-TRANS))
 (690 115 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (658 47 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (604 38 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (599 599 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (596 52 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (594 594 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (594 594 (:REWRITE SET::IN-SET))
 (556 556 (:REWRITE CONSP-OF-LIST-FIX))
 (547 167 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (542 542 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (474 79 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (440 440 (:REWRITE CONSP-OF-STRIP-CARS))
 (430 430 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (427 427 (:TYPE-PRESCRIPTION ABS-FS-P))
 (422 248 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (408 68 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (405 135 (:REWRITE COMMUTATIVITY-OF-+))
 (405 135 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (376 47 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (374 374 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (372 62 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (350 350 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (342 18 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (338 116 (:REWRITE MEMBER-WHEN-ATOM))
 (334 226 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (329 113 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (313 313 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (295 295 (:TYPE-PRESCRIPTION NFIX))
 (292 292 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (277 277 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (277 277 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (270 270 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (270 270 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (270 135 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (267 267 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (252 252 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (248 124 (:REWRITE SET-EQUIV-ASYM))
 (246 41 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (246 41 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (246 41 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (226 226 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (226 226 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (223 223 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (221 113 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (215 215 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (206 206 (:REWRITE SUBSETP-MEMBER . 2))
 (206 206 (:REWRITE SUBSETP-MEMBER . 1))
 (198 198 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (192 12 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (187 187 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (175 175 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (167 167 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (164 28 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (160 160 (:TYPE-PRESCRIPTION SET-EQUIV))
 (160 160 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (136 46 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (135 135 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (135 135 (:REWRITE SUBSETP-REFL))
 (135 135 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (135 135 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (124 124 (:REWRITE SUBSETP-OF-CDR))
 (120 120 (:TYPE-PRESCRIPTION NATP))
 (116 116 (:REWRITE SUBSETP-MEMBER . 4))
 (116 116 (:REWRITE SUBSETP-MEMBER . 3))
 (116 116 (:REWRITE INTERSECTP-MEMBER . 3))
 (116 116 (:REWRITE INTERSECTP-MEMBER . 2))
 (113 113 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (94 46 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (90 90 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (84 84 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (84 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (72 6 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (72 6 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (48 6 (:DEFINITION HONS-ASSOC-EQUAL))
 (45 3 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (18 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (18 3 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (6 6 (:DEFINITION HONS-EQUAL))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(ABS-FIND-FILE-OF-REMOVE-ASSOC-2
 (3072 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (2998 216 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2797 42 (:DEFINITION MEMBER-EQUAL))
 (2586 24 (:REWRITE SUBSETP-OF-REMOVE1))
 (2364 40 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2087 92 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1353 451 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1181 105 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1058 38 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (987 9 (:REWRITE REMOVE-WHEN-ABSENT))
 (955 14 (:REWRITE LEN-WHEN-PREFIXP))
 (922 16 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (810 22 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (805 3 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (754 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (714 6 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (593 101 (:DEFINITION LEN))
 (537 61 (:DEFINITION NATP))
 (521 521 (:TYPE-PRESCRIPTION STRIP-CARS))
 (499 337 (:REWRITE DEFAULT-CDR))
 (495 91 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (464 404 (:REWRITE DEFAULT-CAR))
 (458 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (422 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (409 409 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (402 12 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (339 58 (:DEFINITION ASSOC-EQUAL))
 (308 16 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (294 3 (:DEFINITION REMOVE-EQUAL))
 (258 12 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (252 6 (:REWRITE ZP-OPEN))
 (250 6 (:REWRITE NFIX-WHEN-ZP))
 (236 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (220 55 (:DEFINITION STRIP-CARS))
 (207 9 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (206 105 (:REWRITE DEFAULT-+-2))
 (203 98 (:REWRITE MEMBER-WHEN-ATOM))
 (198 18 (:REWRITE SUBSETP-OF-REMOVE2))
 (198 14 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (196 12 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (178 16 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (176 176 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (154 29 (:REWRITE MEMBER-OF-STRIP-CARS))
 (152 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (147 32 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (138 2 (:REWRITE CONSP-OF-NTHCDR))
 (135 18 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (132 44 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (132 44 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (118 67 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (113 89 (:REWRITE DEFAULT-<-2))
 (110 20 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (108 108 (:REWRITE SUBSETP-MEMBER . 2))
 (108 108 (:REWRITE SUBSETP-MEMBER . 1))
 (108 9 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (105 105 (:REWRITE DEFAULT-+-1))
 (103 89 (:REWRITE DEFAULT-<-1))
 (102 102 (:REWRITE SUBSETP-TRANS2))
 (102 102 (:REWRITE SUBSETP-TRANS))
 (100 100 (:REWRITE CONSP-OF-STRIP-CARS))
 (100 67 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (98 98 (:REWRITE SUBSETP-MEMBER . 4))
 (98 98 (:REWRITE SUBSETP-MEMBER . 3))
 (98 98 (:REWRITE INTERSECTP-MEMBER . 3))
 (98 98 (:REWRITE INTERSECTP-MEMBER . 2))
 (94 94 (:LINEAR LEN-WHEN-PREFIXP))
 (88 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (87 87 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (86 12 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (70 20 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (70 20 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (70 20 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (65 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (62 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (61 61 (:TYPE-PRESCRIPTION NATP))
 (58 13 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (53 53 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (53 53 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (52 52 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (51 51 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (49 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (47 32 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (46 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (45 45 (:TYPE-PRESCRIPTION SET-EQUIV))
 (45 9 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (35 35 (:REWRITE SUBSETP-REFL))
 (33 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (32 32 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (32 32 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (31 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (31 13 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (30 30 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (30 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (29 29 (:TYPE-PRESCRIPTION PREFIXP))
 (29 29 (:TYPE-PRESCRIPTION ABS-FS-P))
 (28 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (26 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (26 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (24 4 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (24 1 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (23 23 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (22 22 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (22 10 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (20 20 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (20 20 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION STRING-LISTP))
 (18 18 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (18 9 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (18 9 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (16 16 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (16 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (16 10 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (13 13 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE SUBSETP-OF-REMOVE))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (12 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (11 11 (:TYPE-PRESCRIPTION NULL))
 (11 11 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE SUBSETP-OF-CDR))
 (10 10 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (10 6 (:REWRITE NFIX-WHEN-NATP))
 (9 9 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (9 9 (:REWRITE SET::IN-SET))
 (9 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 8 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (8 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5 5 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (4 4 (:REWRITE CONSP-OF-LIST-FIX))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (4 4 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-1
 (4109 216 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3195 67 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3066 81 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2839 82 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2367 45 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2218 188 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1957 69 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1380 52 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1313 61 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1107 369 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1009 81 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (822 105 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (704 19 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (662 62 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (653 102 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (625 37 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (518 37 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (503 58 (:DEFINITION ASSOC-EQUAL))
 (485 485 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (478 42 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (444 72 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (413 61 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (377 105 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (377 105 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (371 102 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (340 340 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (327 216 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (310 62 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (307 19 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (306 66 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (303 303 (:TYPE-PRESCRIPTION ABS-FS-P))
 (278 278 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (276 40 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (225 222 (:REWRITE DEFAULT-CAR))
 (223 220 (:REWRITE DEFAULT-CDR))
 (212 212 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (210 210 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (179 11 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (136 136 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (136 136 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (129 19 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (128 128 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (112 112 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (111 37 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (102 102 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (92 92 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (74 74 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (66 66 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (63 63 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (62 62 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (55 55 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (52 52 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (46 46 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (36 36 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (36 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (19 19 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (18 6 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (17 17 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (17 17 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 6 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2)
(ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-3
 (80223 914 (:REWRITE LEN-WHEN-PREFIXP))
 (78147 100 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (60921 532 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (51380 870 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (33980 4942 (:DEFINITION LEN))
 (33595 1469 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (33432 542 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (28224 4778 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (9984 5042 (:REWRITE DEFAULT-+-2))
 (9516 9516 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8780 50 (:DEFINITION NTHCDR))
 (7137 2379 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (7137 2379 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6938 4798 (:LINEAR LEN-WHEN-PREFIXP))
 (6655 140 (:REWRITE NFIX-WHEN-ZP))
 (6426 6416 (:REWRITE DEFAULT-CDR))
 (5042 5042 (:REWRITE DEFAULT-+-1))
 (4325 50 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (4005 45 (:REWRITE CONSP-OF-NTHCDR))
 (2601 165 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2555 532 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2401 1489 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2284 1038 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2140 1120 (:REWRITE DEFAULT-<-2))
 (1940 1120 (:REWRITE DEFAULT-<-1))
 (1445 50 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1392 1382 (:REWRITE DEFAULT-CAR))
 (1157 327 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1096 517 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1093 517 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1080 90 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (991 532 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (969 532 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (925 100 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (857 857 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (745 165 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (744 744 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (712 496 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (659 327 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (644 532 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (630 45 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (620 134 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (590 590 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (550 163 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (492 108 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (360 360 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (332 332 (:TYPE-PRESCRIPTION STRING-LISTP))
 (332 332 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (332 166 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (327 327 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (312 312 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (270 90 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (270 90 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (230 140 (:REWRITE NFIX-WHEN-NATP))
 (222 37 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (220 88 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (220 88 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (182 119 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (180 180 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (180 45 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (166 166 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (166 166 (:REWRITE SET::IN-SET))
 (165 165 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (160 160 (:REWRITE CONSP-OF-LIST-FIX))
 (154 64 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (150 50 (:REWRITE COMMUTATIVITY-OF-+))
 (138 138 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (135 45 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (134 134 (:REWRITE SUBSETP-TRANS2))
 (134 134 (:REWRITE SUBSETP-TRANS))
 (95 95 (:TYPE-PRESCRIPTION NFIX))
 (90 90 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (90 90 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (90 45 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (58 25 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (58 25 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (50 50 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (46 46 (:REWRITE SUBSETP-REFL))
 (45 45 (:TYPE-PRESCRIPTION ABS-FS-P))
 (45 45 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (45 45 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (45 45 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (18 18 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(ABS-FIND-FILE-OF-REMOVE-ASSOC-3
 (84838 956 (:REWRITE LEN-WHEN-PREFIXP))
 (82450 100 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (71448 1634 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (60116 524 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (54138 906 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (35534 1534 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (33010 4840 (:DEFINITION LEN))
 (32154 524 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (29600 4900 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (21746 21746 (:TYPE-PRESCRIPTION LEN))
 (9800 9800 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9780 4940 (:REWRITE DEFAULT-+-2))
 (8600 50 (:DEFINITION NTHCDR))
 (7350 2450 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (7350 2450 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6900 150 (:REWRITE ZP-OPEN))
 (6850 150 (:REWRITE NFIX-WHEN-ZP))
 (6491 6485 (:REWRITE DEFAULT-CDR))
 (4940 4940 (:REWRITE DEFAULT-+-1))
 (4900 4900 (:LINEAR LEN-WHEN-PREFIXP))
 (4700 50 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (4350 50 (:REWRITE CONSP-OF-NTHCDR))
 (4234 1534 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2866 178 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2526 1126 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2452 1534 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2212 1156 (:REWRITE DEFAULT-<-2))
 (2158 112 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2115 464 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2078 39 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2012 1156 (:REWRITE DEFAULT-<-1))
 (1780 1772 (:REWRITE DEFAULT-CAR))
 (1600 50 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1580 1580 (:TYPE-PRESCRIPTION PREFIXP))
 (1571 78 (:REWRITE SUBSETP-CAR-MEMBER))
 (1312 39 (:DEFINITION MEMBER-EQUAL))
 (1246 356 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1200 100 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1142 524 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1142 524 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (950 100 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (940 940 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (928 79 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (900 900 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (868 78 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (818 178 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (812 812 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (772 538 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (712 356 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (616 616 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (596 178 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (524 524 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (524 524 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (524 524 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (524 524 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (408 70 (:DEFINITION ASSOC-EQUAL))
 (400 400 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (392 14 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (382 191 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (356 356 (:TYPE-PRESCRIPTION STRING-LISTP))
 (356 356 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (356 356 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (356 178 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (337 12 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (329 179 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (329 179 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (300 100 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (300 100 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (250 150 (:REWRITE NFIX-WHEN-NATP))
 (229 229 (:REWRITE SUBSETP-TRANS2))
 (229 229 (:REWRITE SUBSETP-TRANS))
 (228 78 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (210 14 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (200 200 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (195 195 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (185 71 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (178 178 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (178 178 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (178 178 (:REWRITE SET::IN-SET))
 (178 178 (:REWRITE CONSP-OF-LIST-FIX))
 (168 28 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (156 78 (:REWRITE SET-EQUIV-ASYM))
 (150 150 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (150 50 (:REWRITE COMMUTATIVITY-OF-+))
 (150 50 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (140 14 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (106 106 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (100 100 (:TYPE-PRESCRIPTION NFIX))
 (100 100 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (100 100 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (100 100 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (100 100 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (100 50 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (98 28 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (84 28 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (84 14 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (84 14 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (78 78 (:TYPE-PRESCRIPTION SET-EQUIV))
 (78 78 (:TYPE-PRESCRIPTION ABS-FS-P))
 (78 78 (:REWRITE SUBSETP-OF-CDR))
 (78 78 (:REWRITE SUBSETP-MEMBER . 2))
 (78 78 (:REWRITE SUBSETP-MEMBER . 1))
 (62 62 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (62 62 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (62 62 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (57 57 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (50 50 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (50 50 (:REWRITE SUBSETP-REFL))
 (50 50 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (50 50 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (41 15 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (28 28 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (28 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (20 20 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (14 14 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(ABS-FIND-FILE-OF-FRAME->FRAME-1
 (75 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (56 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (27 9 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (18 9 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (18 3 (:DEFINITION ASSOC-EQUAL))
 (12 12 (:REWRITE DEFAULT-CAR))
 (9 9 (:TYPE-PRESCRIPTION ZP))
 (9 9 (:TYPE-PRESCRIPTION LEN))
 (9 9 (:TYPE-PRESCRIPTION FRAME-P))
 (5 5 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 )
(ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1)
(ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-2)
(ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-6
 (545231 6066 (:REWRITE LEN-WHEN-PREFIXP))
 (521371 640 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (392922 3218 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (367362 5793 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (229462 10898 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (209124 30684 (:DEFINITION LEN))
 (193327 3246 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (62008 31324 (:REWRITE DEFAULT-+-2))
 (55720 55720 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (51052 320 (:DEFINITION NTHCDR))
 (43752 42318 (:REWRITE DEFAULT-CDR))
 (41790 13930 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (41790 13930 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (39710 948 (:REWRITE ZP-OPEN))
 (39330 936 (:REWRITE NFIX-WHEN-ZP))
 (31324 31324 (:REWRITE DEFAULT-+-1))
 (27960 27960 (:LINEAR LEN-WHEN-PREFIXP))
 (25598 320 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (23430 308 (:REWRITE CONSP-OF-NTHCDR))
 (17742 10932 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (15837 6957 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (14531 1093 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (14144 7392 (:REWRITE DEFAULT-<-2))
 (12888 7392 (:REWRITE DEFAULT-<-1))
 (11755 11451 (:REWRITE DEFAULT-CAR))
 (10524 320 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (10057 1878 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7975 2220 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (7746 836 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7433 101 (:DEFINITION MEMBER-EQUAL))
 (7412 616 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6782 3167 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (6677 3167 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (6577 202 (:REWRITE SUBSETP-CAR-MEMBER))
 (6265 640 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (6061 794 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (5798 5798 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (5073 1093 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (5056 5056 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4905 3336 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4522 2220 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (4521 4521 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (4495 1093 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (4203 20 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4042 64 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (3676 122 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (3524 169 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3273 109 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (3265 485 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3218 3218 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3218 3218 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3218 3218 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3218 3218 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3206 137 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2783 20 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2524 247 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2486 1103 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2464 2464 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (2426 1103 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2394 126 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2336 216 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2302 2302 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2302 2302 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2302 1151 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2220 2220 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1848 616 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (1848 616 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1760 836 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1552 936 (:REWRITE NFIX-WHEN-NATP))
 (1529 1529 (:REWRITE SUBSETP-TRANS2))
 (1529 1529 (:REWRITE SUBSETP-TRANS))
 (1452 88 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1397 149 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1236 1236 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1232 1232 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1188 305 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1176 402 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (1151 1151 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1151 1151 (:REWRITE SET::IN-SET))
 (1117 1117 (:REWRITE CONSP-OF-LIST-FIX))
 (1093 1093 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (966 161 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (960 320 (:REWRITE COMMUTATIVITY-OF-+))
 (958 180 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (936 663 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (924 308 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (924 88 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (867 867 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (866 866 (:TYPE-PRESCRIPTION ABS-FS-P))
 (844 274 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (812 58 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (766 26 (:REWRITE CDR-OF-ASSOC-OF-NIL-WHEN-ABS-FILE-ALIST-P))
 (753 753 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (732 64 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (714 17 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (656 40 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (628 628 (:TYPE-PRESCRIPTION NFIX))
 (616 616 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (616 308 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (464 58 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (424 424 (:REWRITE CONSP-OF-STRIP-CARS))
 (380 128 (:REWRITE MEMBER-WHEN-ATOM))
 (360 360 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (320 320 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (313 313 (:TYPE-PRESCRIPTION NATP))
 (312 312 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (308 308 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (308 308 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (305 305 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (288 28 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (274 274 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (247 13 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (244 244 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (244 122 (:REWRITE SET-EQUIV-ASYM))
 (232 79 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (202 202 (:REWRITE SUBSETP-MEMBER . 2))
 (202 202 (:REWRITE SUBSETP-MEMBER . 1))
 (200 200 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (166 166 (:TYPE-PRESCRIPTION SET-EQUIV))
 (163 79 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (153 153 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (153 153 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (128 128 (:REWRITE SUBSETP-MEMBER . 4))
 (128 128 (:REWRITE SUBSETP-MEMBER . 3))
 (128 128 (:REWRITE INTERSECTP-MEMBER . 3))
 (128 128 (:REWRITE INTERSECTP-MEMBER . 2))
 (126 126 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (122 122 (:REWRITE SUBSETP-OF-CDR))
 (121 121 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (49 49 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 )
(ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7
 (1908 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1606 16 (:REWRITE LEN-WHEN-PREFIXP))
 (1381 10 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1120 15 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (733 104 (:DEFINITION LEN))
 (686 88 (:LINEAR LEN-WHEN-PREFIXP))
 (673 22 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (620 16 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (417 10 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (368 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (248 10 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (210 106 (:REWRITE DEFAULT-+-2))
 (176 176 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (172 1 (:DEFINITION NTHCDR))
 (141 138 (:REWRITE DEFAULT-CDR))
 (138 3 (:REWRITE ZP-OPEN))
 (136 2 (:REWRITE NFIX-WHEN-ZP))
 (132 44 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (132 44 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (118 11 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (109 109 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (106 106 (:REWRITE DEFAULT-+-1))
 (100 50 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (93 31 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (88 88 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (87 1 (:DEFINITION MEMBER-EQUAL))
 (66 66 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (66 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (64 10 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (57 57 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (50 31 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (45 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (44 41 (:REWRITE DEFAULT-CAR))
 (38 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (34 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (30 21 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (30 16 (:REWRITE DEFAULT-<-2))
 (27 5 (:DEFINITION ASSOC-EQUAL))
 (26 16 (:REWRITE DEFAULT-<-1))
 (26 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (23 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (23 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (22 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (21 21 (:TYPE-PRESCRIPTION NATP))
 (21 21 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (21 21 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (19 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (18 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (15 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (14 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (14 2 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (14 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (13 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (12 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (12 6 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (12 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (10 4 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (10 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (9 9 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (8 5 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 4 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (8 2 (:DEFINITION STRIP-CARS))
 (7 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (7 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (5 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (5 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (5 2 (:REWRITE MEMBER-WHEN-ATOM))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION STRING-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3 2 (:REWRITE NFIX-WHEN-NATP))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE SET::IN-SET))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (1 1 (:REWRITE CONSP-OF-LIST-FIX))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 )
(ABS-FIND-FILE-OF-PUT-ASSOC
 (354611 3903 (:REWRITE LEN-WHEN-PREFIXP))
 (342779 428 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (261504 2206 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (232720 3744 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (154352 6580 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (145583 2230 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (143054 21184 (:DEFINITION LEN))
 (130566 20812 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (110670 30 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (42796 21612 (:REWRITE DEFAULT-+-2))
 (41520 41520 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (36616 214 (:DEFINITION NTHCDR))
 (31140 10380 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (31140 10380 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (28920 636 (:REWRITE ZP-OPEN))
 (28676 630 (:REWRITE NFIX-WHEN-ZP))
 (28150 28008 (:REWRITE DEFAULT-CDR))
 (21612 21612 (:REWRITE DEFAULT-+-1))
 (20864 20864 (:LINEAR LEN-WHEN-PREFIXP))
 (20128 214 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (18666 208 (:REWRITE CONSP-OF-NTHCDR))
 (12779 689 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (10939 4633 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (10419 6600 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (9203 4833 (:REWRITE DEFAULT-<-2))
 (8359 4833 (:REWRITE DEFAULT-<-1))
 (7112 6991 (:REWRITE DEFAULT-CAR))
 (6662 214 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (5969 1257 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (5175 1410 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (4992 416 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4646 593 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (4525 2149 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (4408 2149 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4365 428 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3921 384 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3686 3686 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (3653 55 (:DEFINITION MEMBER-EQUAL))
 (3385 685 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (3236 3236 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3233 2228 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3159 689 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2916 1410 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (2858 43 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2763 2763 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2611 2611 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2429 110 (:REWRITE SUBSETP-CAR-MEMBER))
 (2215 147 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2206 2206 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2206 2206 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2206 2206 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2206 2206 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2012 44 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1880 39 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1740 69 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1664 1664 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (1604 27 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1506 1506 (:TYPE-PRESCRIPTION STRING-LISTP))
 (1506 1506 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (1506 753 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1457 49 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1410 1410 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1370 735 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1370 735 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1248 416 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (1248 416 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1242 220 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1133 178 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1062 187 (:DEFINITION ASSOC-EQUAL))
 (1046 630 (:REWRITE NFIX-WHEN-NATP))
 (1008 384 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (994 54 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (947 498 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (928 928 (:REWRITE SUBSETP-TRANS2))
 (928 928 (:REWRITE SUBSETP-TRANS))
 (917 917 (:TYPE-PRESCRIPTION ZP))
 (886 81 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (832 832 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (792 276 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (753 753 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (753 753 (:REWRITE SET::IN-SET))
 (725 725 (:REWRITE CONSP-OF-LIST-FIX))
 (697 122 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (689 689 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (642 214 (:REWRITE COMMUTATIVITY-OF-+))
 (638 34 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (624 208 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (584 392 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (564 564 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (544 64 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (506 506 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (437 437 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (426 26 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (422 422 (:TYPE-PRESCRIPTION NFIX))
 (420 24 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (418 22 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (416 416 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (416 208 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (397 397 (:TYPE-PRESCRIPTION ABS-FS-P))
 (377 71 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (372 107 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (370 34 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (336 12 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (308 22 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (303 68 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (236 118 (:REWRITE SET-EQUIV-ASYM))
 (226 44 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (226 44 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (226 12 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (222 81 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (214 214 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (211 211 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (208 208 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (208 208 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (208 16 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (202 13 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (193 193 (:REWRITE SUBSETP-REFL))
 (180 12 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (176 22 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (153 81 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (152 152 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (152 22 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (151 151 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (151 151 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (142 142 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (134 134 (:TYPE-PRESCRIPTION SET-EQUIV))
 (123 110 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (118 118 (:REWRITE SUBSETP-OF-CDR))
 (118 118 (:REWRITE CONSP-OF-STRIP-CARS))
 (116 42 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (110 110 (:REWRITE SUBSETP-MEMBER . 2))
 (110 110 (:REWRITE SUBSETP-MEMBER . 1))
 (107 107 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (101 68 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (100 34 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (98 98 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (96 96 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (92 92 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (92 92 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (80 32 (:REWRITE MEMBER-WHEN-ATOM))
 (72 12 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (72 12 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (72 12 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (72 12 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (72 12 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (72 12 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (68 68 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (68 68 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (67 34 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (66 22 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (62 62 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (48 48 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (46 46 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (46 46 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (36 6 (:REWRITE FRAME-VAL-P-OF-CDAR-WHEN-FRAME-P))
 (34 34 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (32 32 (:TYPE-PRESCRIPTION NATP))
 (32 32 (:REWRITE SUBSETP-MEMBER . 4))
 (32 32 (:REWRITE SUBSETP-MEMBER . 3))
 (32 32 (:REWRITE INTERSECTP-MEMBER . 3))
 (32 32 (:REWRITE INTERSECTP-MEMBER . 2))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (22 22 (:TYPE-PRESCRIPTION NULL))
 (22 22 (:DEFINITION NULL))
 )
(ABS-FIND-FILE-OF-FRAME-WITH-ROOT
 (6620 9 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (6518 74 (:REWRITE LEN-WHEN-PREFIXP))
 (5444 126 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (4724 42 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4302 70 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4066 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3642 2 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (2838 118 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2631 385 (:DEFINITION LEN))
 (2469 42 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2364 388 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2148 50 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1706 1706 (:TYPE-PRESCRIPTION LEN))
 (778 393 (:REWRITE DEFAULT-+-2))
 (776 776 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (582 194 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (582 194 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (567 13 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (552 12 (:REWRITE ZP-OPEN))
 (548 12 (:REWRITE NFIX-WHEN-ZP))
 (511 507 (:REWRITE DEFAULT-CDR))
 (506 506 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (393 393 (:REWRITE DEFAULT-+-1))
 (388 388 (:LINEAR LEN-WHEN-PREFIXP))
 (385 13 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (348 4 (:REWRITE CONSP-OF-NTHCDR))
 (334 118 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (328 164 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (273 273 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (252 252 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (225 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (224 14 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (201 201 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (200 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (198 86 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (190 118 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (177 22 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (176 92 (:REWRITE DEFAULT-<-2))
 (158 92 (:REWRITE DEFAULT-<-1))
 (154 24 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (124 124 (:TYPE-PRESCRIPTION PREFIXP))
 (114 113 (:REWRITE DEFAULT-CAR))
 (106 12 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (104 29 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (94 94 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (92 41 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (89 9 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (86 16 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (84 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (78 12 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (78 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (74 74 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (66 66 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (64 14 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (59 41 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (59 29 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (56 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (56 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (55 55 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (52 26 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (52 22 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (46 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (43 43 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (42 42 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (42 42 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (42 42 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (42 42 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (42 12 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (37 37 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (36 12 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (36 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (36 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (36 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (35 35 (:TYPE-PRESCRIPTION ABS-FS-P))
 (34 34 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (32 32 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (32 32 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (30 30 (:TYPE-PRESCRIPTION STRING-LISTP))
 (30 30 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (30 15 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (29 29 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (28 28 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (24 8 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (23 8 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (20 12 (:REWRITE NFIX-WHEN-NATP))
 (20 8 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (20 8 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (18 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (15 15 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (15 15 (:REWRITE SET::IN-SET))
 (14 14 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (14 14 (:REWRITE CONSP-OF-LIST-FIX))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (12 12 (:REWRITE SUBSETP-TRANS2))
 (12 12 (:REWRITE SUBSETP-TRANS))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (9 9 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (5 5 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (2 2 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 )
(ABS-FIND-FILE-ALT
 (18 6 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (12 6 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION FRAME-P))
 )
(ABS-FIND-FILE-ALT-OF-FAT32-FILENAME-LIST-FIX
 (24888 291 (:REWRITE LEN-WHEN-PREFIXP))
 (23630 36 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (18474 176 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (15475 277 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10467 1529 (:DEFINITION LEN))
 (10102 180 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (9969 461 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (9092 1504 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3096 18 (:DEFINITION NTHCDR))
 (3094 1565 (:REWRITE DEFAULT-+-2))
 (2992 2992 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2975 2071 (:REWRITE DEFAULT-CDR))
 (2244 748 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2244 748 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2204 50 (:REWRITE ZP-OPEN))
 (2166 46 (:REWRITE NFIX-WHEN-ZP))
 (1565 1565 (:REWRITE DEFAULT-+-1))
 (1512 1512 (:LINEAR LEN-WHEN-PREFIXP))
 (1320 18 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1218 14 (:REWRITE CONSP-OF-NTHCDR))
 (942 314 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (872 53 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (747 471 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (742 350 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (690 363 (:REWRITE DEFAULT-<-2))
 (628 314 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (626 363 (:REWRITE DEFAULT-<-1))
 (624 620 (:REWRITE DEFAULT-CAR))
 (582 42 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (550 18 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (395 110 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (390 30 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (352 172 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (352 172 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (350 28 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (322 36 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (279 279 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (260 52 (:DEFINITION ASSOC-EQUAL))
 (248 248 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (248 53 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (243 168 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (240 30 (:DEFINITION MEMBER-EQUAL))
 (224 110 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (210 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (196 42 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (189 53 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (178 178 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (176 176 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (176 176 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (176 176 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (176 176 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (150 150 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (114 114 (:TYPE-PRESCRIPTION STRING-LISTP))
 (114 114 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (114 57 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (112 112 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (110 110 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (98 98 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (98 28 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (88 18 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (84 28 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (84 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (74 46 (:REWRITE NFIX-WHEN-NATP))
 (70 28 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (70 28 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (66 42 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (60 60 (:REWRITE SUBSETP-MEMBER . 2))
 (60 60 (:REWRITE SUBSETP-MEMBER . 1))
 (57 57 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (57 57 (:REWRITE SET::IN-SET))
 (56 56 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (56 56 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (56 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (54 18 (:REWRITE COMMUTATIVITY-OF-+))
 (53 53 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (53 53 (:REWRITE CONSP-OF-LIST-FIX))
 (42 42 (:REWRITE SUBSETP-TRANS2))
 (42 42 (:REWRITE SUBSETP-TRANS))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (42 14 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (32 32 (:TYPE-PRESCRIPTION NFIX))
 (30 30 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (30 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (30 30 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (28 28 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (28 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (18 18 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 14 (:TYPE-PRESCRIPTION ABS-FS-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (14 14 (:REWRITE SUBSETP-REFL))
 (14 14 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (14 14 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-ABS-FIND-FILE-ALT-3
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-FIND-FILE-ALT-CORRECTNESS-1-LEMMA-1
 (55205 617 (:REWRITE LEN-WHEN-PREFIXP))
 (54072 96 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (41508 388 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (35361 585 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (23314 1022 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (22946 3346 (:DEFINITION LEN))
 (22130 392 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (20250 3312 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6760 3414 (:REWRITE DEFAULT-+-2))
 (6608 6608 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4956 1652 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4956 1652 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4552 100 (:REWRITE ZP-OPEN))
 (4508 98 (:REWRITE NFIX-WHEN-ZP))
 (3414 3414 (:REWRITE DEFAULT-+-1))
 (3320 3320 (:LINEAR LEN-WHEN-PREFIXP))
 (3010 34 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (2784 32 (:REWRITE CONSP-OF-NTHCDR))
 (1814 113 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1684 1030 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1682 786 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1549 816 (:REWRITE DEFAULT-<-2))
 (1369 816 (:REWRITE DEFAULT-<-1))
 (1140 380 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1023 76 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (952 96 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (947 252 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (820 46 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (818 362 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (798 64 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (760 380 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (607 131 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (600 30 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (597 597 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (568 568 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (530 252 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (524 377 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (518 113 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (478 32 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (416 416 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (388 388 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (388 388 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (388 388 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (388 388 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (375 113 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (290 32 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (278 278 (:TYPE-PRESCRIPTION STRING-LISTP))
 (278 278 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (278 139 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (262 47 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (256 256 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (252 252 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (228 60 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (210 15 (:DEFINITION NATP))
 (192 64 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (192 64 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (185 89 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (185 89 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (176 176 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (165 15 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (165 15 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (162 98 (:REWRITE NFIX-WHEN-NATP))
 (152 152 (:REWRITE SUBSETP-MEMBER . 2))
 (139 139 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (139 139 (:REWRITE SET::IN-SET))
 (138 15 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (128 32 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (127 127 (:REWRITE SUBSETP-TRANS2))
 (127 127 (:REWRITE SUBSETP-TRANS))
 (126 36 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (113 113 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (113 113 (:REWRITE CONSP-OF-LIST-FIX))
 (105 15 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (102 34 (:REWRITE COMMUTATIVITY-OF-+))
 (100 76 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (96 32 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (90 90 (:TYPE-PRESCRIPTION NFIX))
 (90 30 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (88 88 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (88 22 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (64 64 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (64 64 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (64 32 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (60 10 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (60 10 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (60 10 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (46 46 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (46 46 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (46 46 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (34 34 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (32 32 (:TYPE-PRESCRIPTION ABS-FS-P))
 (32 32 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (32 32 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (32 32 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (32 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (30 30 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (30 30 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (30 30 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (29 29 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (26 26 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (25 25 (:REWRITE SUBSETP-MEMBER . 4))
 (25 25 (:REWRITE INTERSECTP-MEMBER . 3))
 (25 25 (:REWRITE INTERSECTP-MEMBER . 2))
 (20 20 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (15 15 (:TYPE-PRESCRIPTION NATP))
 (15 15 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (15 15 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (10 10 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 1 (:REWRITE SET-EQUIV-OF-NIL))
 (1 1 (:REWRITE SUBSETP-NIL))
 )
(ABS-FIND-FILE-ALT-CORRECTNESS-1
 (132030 1486 (:REWRITE LEN-WHEN-PREFIXP))
 (125196 152 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (96468 844 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (86476 1416 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (57780 2528 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (52464 856 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (51590 7554 (:DEFINITION LEN))
 (19360 8 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-2))
 (15260 7706 (:REWRITE DEFAULT-+-2))
 (14720 14720 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12864 76 (:DEFINITION NTHCDR))
 (12493 10412 (:REWRITE DEFAULT-CDR))
 (11040 3680 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (11040 3680 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (9994 224 (:REWRITE ZP-OPEN))
 (9898 220 (:REWRITE NFIX-WHEN-ZP))
 (7706 7706 (:REWRITE DEFAULT-+-1))
 (7392 7392 (:LINEAR LEN-WHEN-PREFIXP))
 (6560 76 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (6052 72 (:REWRITE CONSP-OF-NTHCDR))
 (4303 113 (:DEFINITION MEMBER-EQUAL))
 (4236 276 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4202 1830 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4086 2544 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3463 1829 (:REWRITE DEFAULT-<-2))
 (3415 65 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3167 1829 (:REWRITE DEFAULT-<-1))
 (3089 2922 (:REWRITE DEFAULT-CAR))
 (2512 76 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2482 477 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2175 10 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2046 236 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2005 10 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1931 43 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1928 30 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1924 544 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1824 214 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1758 834 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1756 144 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1754 58 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1752 834 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1578 52 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1470 1470 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1438 152 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1352 54 (:REWRITE SUBSETP-CAR-MEMBER))
 (1298 878 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1266 276 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1232 1232 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1162 276 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1156 182 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1146 43 (:DEFINITION NATP))
 (1096 544 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (1022 1022 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (965 52 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (952 68 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (881 43 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (844 844 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (844 844 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (844 844 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (844 844 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (582 72 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (576 576 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (570 190 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (552 552 (:TYPE-PRESCRIPTION STRING-LISTP))
 (552 552 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (552 276 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (544 544 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (532 28 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (529 232 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (529 232 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (506 190 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (505 43 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (458 86 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (452 236 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (432 144 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (432 144 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (418 68 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (418 68 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (418 68 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (411 86 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (392 28 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (364 220 (:REWRITE NFIX-WHEN-NATP))
 (340 340 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (325 325 (:REWRITE SUBSETP-TRANS2))
 (325 325 (:REWRITE SUBSETP-TRANS))
 (322 322 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (316 96 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (308 58 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (300 50 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (294 22 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (288 288 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (284 284 (:REWRITE CONSP-OF-LIST-FIX))
 (276 276 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (276 276 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (276 276 (:REWRITE SET::IN-SET))
 (252 174 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (238 238 (:TYPE-PRESCRIPTION ABS-FS-P))
 (238 238 (:REWRITE CONSP-OF-STRIP-CARS))
 (228 76 (:REWRITE COMMUTATIVITY-OF-+))
 (226 226 (:REWRITE SUBSETP-MEMBER . 2))
 (226 226 (:REWRITE SUBSETP-MEMBER . 1))
 (226 226 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (224 28 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (216 72 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (216 28 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (204 56 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (190 10 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (180 30 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (180 30 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (172 172 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (165 19 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (161 161 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (148 148 (:TYPE-PRESCRIPTION NFIX))
 (146 146 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (146 146 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (145 43 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (144 144 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (144 144 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (144 72 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (144 12 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (137 86 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (135 54 (:REWRITE MEMBER-WHEN-ATOM))
 (133 49 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (116 116 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (108 54 (:REWRITE SET-EQUIV-ASYM))
 (96 96 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (94 43 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (86 86 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (86 86 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (76 76 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (73 73 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (73 73 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (72 72 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (72 72 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (71 71 (:TYPE-PRESCRIPTION SET-EQUIV))
 (63 63 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (58 22 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (56 56 (:REWRITE SUBSETP-MEMBER . 4))
 (56 56 (:REWRITE INTERSECTP-MEMBER . 3))
 (56 56 (:REWRITE INTERSECTP-MEMBER . 2))
 (54 54 (:REWRITE SUBSETP-OF-CDR))
 (54 9 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (54 9 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (54 9 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (52 52 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (52 52 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (52 52 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (52 22 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (48 48 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (43 43 (:TYPE-PRESCRIPTION NATP))
 (43 43 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (40 40 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (30 30 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 )
(ABS-FIND-FILE-ALT-CORRECTNESS-2
 (221756 2325 (:REWRITE LEN-WHEN-PREFIXP))
 (215278 252 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (190303 4086 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (151335 1316 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (145045 2211 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (99102 3830 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (85446 12668 (:DEFINITION LEN))
 (79987 1616 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (78648 1324 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (78273 12422 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (76874 20 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (30675 3830 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (26080 17491 (:REWRITE DEFAULT-CDR))
 (25588 12920 (:REWRITE DEFAULT-+-2))
 (24796 24796 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (21528 126 (:DEFINITION NTHCDR))
 (18597 6199 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (18597 6199 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (17254 379 (:REWRITE ZP-OPEN))
 (17132 379 (:REWRITE NFIX-WHEN-ZP))
 (12920 12920 (:REWRITE DEFAULT-+-1))
 (12446 12446 (:LINEAR LEN-WHEN-PREFIXP))
 (12309 304 (:DEFINITION MEMBER-EQUAL))
 (12096 126 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (11214 126 (:REWRITE CONSP-OF-NTHCDR))
 (9850 4925 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9235 16 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (8482 353 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (8405 461 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (7952 73 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (7010 2994 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6071 3830 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (5894 5894 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (5853 3267 (:REWRITE DEFAULT-<-2))
 (5630 478 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (5546 5157 (:REWRITE DEFAULT-CAR))
 (5348 3267 (:REWRITE DEFAULT-<-1))
 (4616 1 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-2))
 (4382 799 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4320 126 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3905 3905 (:TYPE-PRESCRIPTION PREFIXP))
 (3264 914 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (3064 252 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2795 1304 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (2759 1304 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2685 271 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2681 77 (:REWRITE SUBSETP-CAR-MEMBER))
 (2478 252 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2457 2457 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2369 427 (:DEFINITION NATP))
 (2149 11 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2142 1436 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2111 461 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2080 2080 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2020 461 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1991 10 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1940 52 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1854 914 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (1690 845 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (1594 26 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1547 1547 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1528 83 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1449 48 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1374 669 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1316 1316 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1316 1316 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1316 1316 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1316 1316 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1008 1008 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (989 158 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (978 452 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (956 52 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (950 452 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (940 940 (:TYPE-PRESCRIPTION STRING-LISTP))
 (940 940 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (940 470 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (914 914 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (803 95 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (803 61 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (756 252 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (756 252 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (653 379 (:REWRITE NFIX-WHEN-NATP))
 (649 271 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (622 622 (:REWRITE SUBSETP-MEMBER . 2))
 (622 622 (:REWRITE SUBSETP-MEMBER . 1))
 (605 602 (:REWRITE SUBSETP-TRANS))
 (602 602 (:REWRITE SUBSETP-TRANS2))
 (574 6 (:REWRITE SUBSETP-OF-REMOVE1))
 (556 52 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (547 390 (:REWRITE SUBSETP-MEMBER . 4))
 (543 33 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (517 517 (:REWRITE CONSP-OF-STRIP-CARS))
 (504 504 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (476 476 (:REWRITE CONSP-OF-LIST-FIX))
 (470 470 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (470 470 (:REWRITE SET::IN-SET))
 (461 461 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (456 104 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (438 24 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (428 428 (:TYPE-PRESCRIPTION NATP))
 (392 64 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (392 64 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (392 64 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (390 390 (:REWRITE INTERSECTP-MEMBER . 3))
 (390 390 (:REWRITE INTERSECTP-MEMBER . 2))
 (380 380 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (378 126 (:REWRITE COMMUTATIVITY-OF-+))
 (378 126 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (378 71 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (374 374 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (366 366 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (342 57 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (340 256 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (339 117 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (322 23 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (288 87 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (288 80 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (288 40 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (278 53 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (273 273 (:TYPE-PRESCRIPTION ABS-FS-P))
 (256 256 (:TYPE-PRESCRIPTION NFIX))
 (256 256 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (252 252 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (252 252 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (252 126 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (233 233 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (233 233 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (232 232 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (226 21 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (203 14 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (190 190 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (184 23 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (174 29 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (172 6 (:REWRITE SUBSETP-OF-REMOVE2))
 (168 28 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (164 164 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (160 160 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (154 154 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (152 104 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (148 148 (:REWRITE SUBSETP-REFL))
 (148 52 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (142 142 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (126 126 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (126 126 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (126 126 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (126 126 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (124 62 (:REWRITE SET-EQUIV-ASYM))
 (120 20 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (120 20 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (120 20 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (109 10 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (107 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (104 104 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (104 104 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (100 100 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (100 52 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (96 96 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (87 87 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (86 86 (:TYPE-PRESCRIPTION SET-EQUIV))
 (86 2 (:REWRITE SUBSETP-OF-CONS))
 (83 1 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (82 82 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (80 80 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (62 62 (:REWRITE SUBSETP-OF-CDR))
 (57 57 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (56 20 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (55 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (52 52 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (50 4 (:REWRITE MEMBER-OF-CONS))
 (45 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (44 20 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (40 16 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (36 36 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (24 4 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (24 2 (:REWRITE SUBSETP-CONS-2))
 (15 15 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (12 1 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (11 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 1 (:DEFINITION HONS-ASSOC-EQUAL))
 (5 5 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (2 2 (:REWRITE MEMBER-OF-CAR))
 (1 1 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:DEFINITION HONS-EQUAL))
 )
(ABS-ENOTDIR-WITNESS
 (644 10 (:REWRITE LEN-WHEN-PREFIXP))
 (508 4 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (328 10 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (316 4 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (288 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (240 36 (:DEFINITION LEN))
 (206 2 (:DEFINITION TAKE))
 (200 8 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (156 4 (:REWRITE TAKE-OF-TOO-MANY))
 (132 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (104 104 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (102 4 (:REWRITE TAKE-OF-LEN-FREE))
 (96 4 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (90 6 (:REWRITE NFIX-WHEN-ZP))
 (82 46 (:REWRITE DEFAULT-+-2))
 (78 26 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (78 26 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (62 62 (:TYPE-PRESCRIPTION TAKE))
 (60 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (60 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (56 4 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (56 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (52 52 (:LINEAR LEN-WHEN-PREFIXP))
 (52 52 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (52 34 (:REWRITE DEFAULT-<-2))
 (52 12 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (52 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (52 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (52 4 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (46 46 (:REWRITE DEFAULT-CDR))
 (46 46 (:REWRITE DEFAULT-+-1))
 (44 34 (:REWRITE DEFAULT-<-1))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (28 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (26 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (24 12 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24 8 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (24 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (24 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (22 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (22 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (22 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (20 20 (:TYPE-PRESCRIPTION ABS-FS-P))
 (20 20 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (20 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION PREFIXP))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 4 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 10 (:REWRITE DEFAULT-CAR))
 (8 8 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (8 8 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 2 (:REWRITE FOLD-CONSTS-IN-+))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (4 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (2 2 (:DEFINITION NATP))
 )
(TRUE-LISTP-OF-ABS-ENOTDIR-WITNESS)
(PREFIXP-OF-ABS-ENOTDIR-WITNESS
 (1406 22 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1114 18 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (848 128 (:DEFINITION LEN))
 (816 8 (:DEFINITION TAKE))
 (802 8 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (792 11 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (720 22 (:REWRITE LEN-WHEN-PREFIXP))
 (624 16 (:REWRITE TAKE-OF-TOO-MANY))
 (552 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (478 34 (:REWRITE NFIX-WHEN-ZP))
 (463 53 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (430 196 (:LINEAR LEN-WHEN-PREFIXP))
 (408 16 (:REWRITE TAKE-OF-LEN-FREE))
 (376 376 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (368 184 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-ABS-ENOTDIR-WITNESS))
 (363 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (350 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (286 158 (:REWRITE DEFAULT-+-2))
 (282 94 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (282 94 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (241 53 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (198 14 (:REWRITE LEN-OF-TAKE))
 (188 188 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (166 122 (:REWRITE DEFAULT-<-2))
 (165 11 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (158 158 (:REWRITE DEFAULT-+-1))
 (154 11 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (154 11 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (152 152 (:REWRITE DEFAULT-CDR))
 (147 53 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (144 122 (:REWRITE DEFAULT-<-1))
 (143 33 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (143 22 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (143 22 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (143 11 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (126 126 (:TYPE-PRESCRIPTION BUTLAST))
 (80 32 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (80 14 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (77 77 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (77 22 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (66 66 (:TYPE-PRESCRIPTION TAKE))
 (66 33 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (66 22 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (66 22 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (66 22 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (66 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (64 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (58 58 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (58 58 (:TYPE-PRESCRIPTION ABS-ENOTDIR-WITNESS))
 (55 55 (:TYPE-PRESCRIPTION ABS-FS-P))
 (55 55 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (55 11 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (50 50 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (44 44 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (38 2 (:REWRITE CONSP-OF-TAKE))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (33 33 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (33 11 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 24 (:REWRITE DEFAULT-CAR))
 (24 8 (:REWRITE FOLD-CONSTS-IN-+))
 (22 22 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (22 22 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (22 22 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (22 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (16 16 (:TYPE-PRESCRIPTION NFIX))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (14 14 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (14 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (11 11 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (11 11 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (8 8 (:DEFINITION NATP))
 (6 6 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 )
(LEN-OF-ABS-ENOTDIR-WITNESS
 (400 1 (:DEFINITION ABS-ENOTDIR-WITNESS))
 (314 2 (:DEFINITION BUTLAST))
 (204 2 (:DEFINITION TAKE))
 (156 4 (:REWRITE TAKE-OF-TOO-MANY))
 (102 4 (:REWRITE TAKE-OF-LEN-FREE))
 (84 7 (:REWRITE ZP-OPEN))
 (76 4 (:REWRITE NFIX-WHEN-ZP))
 (72 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (66 12 (:DEFINITION LEN))
 (52 52 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (33 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (32 20 (:REWRITE DEFAULT-+-2))
 (26 26 (:LINEAR LEN-WHEN-PREFIXP))
 (26 26 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (22 17 (:REWRITE DEFAULT-<-2))
 (20 20 (:REWRITE DEFAULT-+-1))
 (17 17 (:REWRITE DEFAULT-<-1))
 (15 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (14 14 (:REWRITE DEFAULT-CDR))
 (14 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (14 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (13 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (13 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (13 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (13 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (8 4 (:REWRITE NFIX-WHEN-NATP))
 (7 7 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (7 7 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (7 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 2 (:REWRITE FOLD-CONSTS-IN-+))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (5 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 2 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-ABS-ENOTDIR-WITNESS))
 (3 3 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-ENOTDIR-WITNESS))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:DEFINITION NATP))
 (1 1 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (1 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(ABS-ENOTDIR-WITNESS-CORRECTNESS-1-LEMMA-1
 (7 1 (:REWRITE NFIX-WHEN-ZP))
 (5 1 (:REWRITE ZP-OPEN))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-ENOTDIR-WITNESS-CORRECTNESS-1
 (10070 27 (:DEFINITION ABS-FIND-FILE-HELPER))
 (4851 317 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4293 56 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3762 81 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3483 81 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3063 83 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2745 54 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2397 83 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2020 21 (:DEFINITION TAKE))
 (1881 27 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1611 27 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1456 42 (:REWRITE TAKE-OF-TOO-MANY))
 (1403 83 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1376 193 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1206 261 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1166 1166 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (1162 83 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (967 42 (:REWRITE TAKE-OF-LEN-FREE))
 (900 81 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (882 27 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (855 81 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (851 193 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (820 137 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (783 261 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (757 137 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (743 119 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (711 54 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (633 193 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (633 193 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (618 618 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (596 70 (:REWRITE NFIX-WHEN-ZP))
 (589 139 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (566 317 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (489 93 (:DEFINITION LEN))
 (486 54 (:DEFINITION ASSOC-EQUAL))
 (428 386 (:REWRITE DEFAULT-CDR))
 (396 54 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (388 388 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (386 386 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (382 382 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (369 369 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (348 348 (:TYPE-PRESCRIPTION ABS-FS-P))
 (328 328 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (306 27 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (303 303 (:TYPE-PRESCRIPTION ZP))
 (303 303 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (291 97 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (291 97 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (279 27 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (274 181 (:REWRITE DEFAULT-+-2))
 (270 54 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (270 27 (:DEFINITION ABS-ASSOC-DEFINITION))
 (253 27 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (249 83 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (243 243 (:TYPE-PRESCRIPTION M1-FILE-P))
 (229 187 (:REWRITE DEFAULT-<-2))
 (220 220 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (220 220 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (212 212 (:REWRITE DEFAULT-CAR))
 (194 194 (:LINEAR LEN-WHEN-PREFIXP))
 (194 194 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (193 187 (:REWRITE DEFAULT-<-1))
 (191 191 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (181 181 (:REWRITE DEFAULT-+-1))
 (171 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (166 166 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (143 143 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (142 70 (:REWRITE NFIX-WHEN-NATP))
 (139 139 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (137 137 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (135 135 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (135 27 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (108 108 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (83 83 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (81 81 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (81 27 (:REWRITE FOLD-CONSTS-IN-+))
 (81 27 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (70 70 (:TYPE-PRESCRIPTION NFIX))
 (61 61 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (61 61 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (57 25 (:REWRITE CONSP-OF-TAKE))
 (54 54 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (54 54 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 18 (:REWRITE LEN-OF-TAKE))
 (50 10 (:REWRITE CAR-OF-TAKE))
 (45 27 (:DEFINITION NATP))
 (27 27 (:TYPE-PRESCRIPTION NATP))
 (27 27 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (27 27 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (27 27 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (27 27 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (27 27 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-ENOTDIR-WITNESS-CORRECTNESS-2-LEMMA-1
 (13411 782 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9827 222 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (9681 243 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (9305 118 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (9200 274 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (6805 223 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6803 674 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5576 176 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (4247 203 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4095 86 (:REWRITE TAKE-OF-TOO-MANY))
 (3177 414 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2493 153 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2370 354 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2247 749 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2198 243 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2142 153 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2053 70 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1824 287 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1779 12 (:REWRITE TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1772 89 (:REWRITE TAKE-OF-LEN-FREE))
 (1628 106 (:REWRITE NFIX-WHEN-ZP))
 (1565 354 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1563 24 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1562 12 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1458 414 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1458 414 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1357 203 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1279 106 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1275 149 (:DEFINITION ASSOC-EQUAL))
 (1252 1252 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1241 782 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1185 268 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1136 1136 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1078 1078 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1047 1047 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1043 858 (:REWRITE DEFAULT-CDR))
 (949 24 (:REWRITE LEN-WHEN-PREFIXP))
 (939 313 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (939 313 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (905 905 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (865 173 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (864 173 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (828 828 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (776 70 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (755 755 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (755 52 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (753 105 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (722 44 (:DEFINITION NATP))
 (710 456 (:REWRITE DEFAULT-<-2))
 (635 629 (:REWRITE DEFAULT-CAR))
 (626 626 (:LINEAR LEN-WHEN-PREFIXP))
 (626 626 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (626 367 (:REWRITE DEFAULT-+-2))
 (587 52 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (565 456 (:REWRITE DEFAULT-<-1))
 (522 522 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (522 522 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (491 29 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (459 153 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (438 70 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (425 425 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (384 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (368 368 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (367 367 (:REWRITE DEFAULT-+-1))
 (354 354 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (334 334 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (306 306 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (282 55 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (268 268 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (184 184 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (184 184 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (179 179 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (176 176 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (173 173 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (108 108 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (84 84 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (70 70 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (57 19 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (52 52 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (52 52 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (52 52 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (52 52 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (49 49 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (48 48 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (48 48 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (48 48 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (48 24 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (44 44 (:TYPE-PRESCRIPTION NATP))
 (41 41 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (38 38 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (19 19 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (12 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (12 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 )
(ABS-ENOTDIR-WITNESS-CORRECTNESS-2
 (12266 803 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9878 136 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (9003 211 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (7283 203 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (6787 144 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (5965 217 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5033 81 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3819 79 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3333 465 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3318 198 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2772 198 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2702 512 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2577 859 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2231 214 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2032 65 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2026 337 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1974 316 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1807 20 (:DEFINITION TAKE))
 (1766 337 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1533 465 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1533 465 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1504 354 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1444 161 (:DEFINITION ASSOC-EQUAL))
 (1397 803 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1242 40 (:REWRITE TAKE-OF-TOO-MANY))
 (1156 1156 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1045 149 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1002 1002 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (993 88 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (939 939 (:TYPE-PRESCRIPTION ABS-FS-P))
 (930 930 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (927 837 (:REWRITE DEFAULT-CDR))
 (879 40 (:REWRITE TAKE-OF-LEN-FREE))
 (857 857 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (763 70 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (738 738 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (730 146 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (649 65 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (594 198 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (587 587 (:REWRITE DEFAULT-CAR))
 (553 84 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (534 534 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (534 534 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (486 48 (:REWRITE NFIX-WHEN-ZP))
 (452 452 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (431 79 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (396 396 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (354 354 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (339 113 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (339 113 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (337 337 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (311 190 (:REWRITE DEFAULT-+-2))
 (294 294 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (236 187 (:REWRITE DEFAULT-<-2))
 (226 226 (:LINEAR LEN-WHEN-PREFIXP))
 (226 226 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (219 65 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (207 207 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (203 203 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (190 190 (:REWRITE DEFAULT-+-1))
 (187 187 (:REWRITE DEFAULT-<-1))
 (172 172 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (160 160 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (147 147 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (145 145 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (88 48 (:REWRITE NFIX-WHEN-NATP))
 (86 86 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (77 77 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (73 73 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (73 73 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (73 73 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (65 65 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (60 20 (:REWRITE FOLD-CONSTS-IN-+))
 (55 11 (:REWRITE CAR-OF-TAKE))
 (48 48 (:TYPE-PRESCRIPTION NFIX))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (22 22 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (20 20 (:TYPE-PRESCRIPTION NATP))
 (20 20 (:DEFINITION NATP))
 (12 4 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (12 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION STRING-LISTP))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 2 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 )
(FAT32-FILENAME-LIST-P-OF-ABS-ENOTDIR-WITNESS
 (2632 33 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1501 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1418 33 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1270 40 (:REWRITE ABS-ENOTDIR-WITNESS-CORRECTNESS-2))
 (1102 28 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (950 29 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (921 58 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (776 8 (:DEFINITION TAKE))
 (718 58 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (602 58 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (580 16 (:REWRITE TAKE-OF-TOO-MANY))
 (435 29 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (406 29 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (404 35 (:DEFINITION MEMBER-EQUAL))
 (388 16 (:REWRITE TAKE-OF-LEN-FREE))
 (377 87 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (377 58 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (377 29 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (332 28 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (262 18 (:REWRITE NFIX-WHEN-ZP))
 (220 44 (:DEFINITION LEN))
 (203 203 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (203 58 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (176 176 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (175 175 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (174 87 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (174 58 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (174 58 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (145 145 (:TYPE-PRESCRIPTION ABS-FS-P))
 (145 145 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (145 29 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (132 44 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (132 44 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (118 74 (:REWRITE DEFAULT-+-2))
 (116 116 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (98 73 (:REWRITE DEFAULT-<-2))
 (91 91 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (88 88 (:LINEAR LEN-WHEN-PREFIXP))
 (88 88 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (87 87 (:REWRITE DEFAULT-CDR))
 (87 29 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (75 33 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (74 74 (:REWRITE DEFAULT-+-1))
 (73 73 (:REWRITE DEFAULT-<-1))
 (70 70 (:REWRITE SUBSETP-MEMBER . 2))
 (70 70 (:REWRITE SUBSETP-MEMBER . 1))
 (58 58 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (58 58 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (58 58 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (58 58 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (58 58 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (43 43 (:REWRITE DEFAULT-CAR))
 (33 33 (:REWRITE SUBSETP-TRANS2))
 (33 33 (:REWRITE SUBSETP-TRANS))
 (29 29 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (29 29 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (29 29 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (24 8 (:REWRITE FOLD-CONSTS-IN-+))
 (22 22 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (16 16 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:DEFINITION NATP))
 )
(ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2
 (3210 181 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2416 70 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2310 89 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2154 190 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1608 60 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1017 15 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (990 70 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (975 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (916 14 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (607 89 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (582 194 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (564 95 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (521 72 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (448 28 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (435 19 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (395 33 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (366 59 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (348 104 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (348 104 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (344 95 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (344 28 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (310 310 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (288 288 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (265 181 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (255 51 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (237 237 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (234 32 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (217 52 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (210 210 (:REWRITE DEFAULT-CAR))
 (179 19 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (178 178 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (165 15 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (157 157 (:REWRITE DEFAULT-CDR))
 (141 19 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (128 53 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (122 122 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (122 122 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (119 119 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (106 3 (:DEFINITION MEMBER-EQUAL))
 (102 102 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (102 102 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (84 28 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (78 78 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (65 5 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (64 6 (:REWRITE SUBSETP-MEMBER . 1))
 (52 52 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (51 51 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (51 51 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (43 43 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (42 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (40 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (39 39 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (35 7 (:REWRITE NFIX-WHEN-NATP))
 (28 7 (:REWRITE NFIX-WHEN-ZP))
 (24 6 (:REWRITE MEMBER-WHEN-ATOM))
 (21 7 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (21 7 (:DEFINITION NATP))
 (19 19 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (17 17 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (16 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (14 14 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (12 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8 8 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (8 8 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION NATP))
 (7 7 (:REWRITE ZP-OPEN))
 (7 7 (:REWRITE SUBSETP-MEMBER . 4))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 3))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 2))
 (7 7 (:REWRITE DEFAULT-<-2))
 (7 7 (:REWRITE DEFAULT-<-1))
 (7 7 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-4
 (27846 1403 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (20970 473 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (19781 390 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (15400 1251 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (13823 444 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6678 2226 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6513 356 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (5845 619 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5258 694 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4448 118 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4144 468 (:DEFINITION ASSOC-EQUAL))
 (4050 565 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (3894 249 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (3437 356 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (3162 3162 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3071 293 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2528 426 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2479 1403 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2479 695 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2479 695 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2316 118 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2316 96 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (2180 2180 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2118 2118 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2051 559 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2015 1529 (:REWRITE DEFAULT-CDR))
 (1775 355 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1773 1773 (:REWRITE DEFAULT-CAR))
 (1763 1763 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1746 252 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1513 33 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (1487 85 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1374 118 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (892 892 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (892 892 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (766 766 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (747 249 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (619 619 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (598 598 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (559 559 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (442 54 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (409 409 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (355 355 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (327 327 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (322 322 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (306 50 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (299 299 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (288 32 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (252 42 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (214 3 (:REWRITE LEN-WHEN-PREFIXP))
 (168 84 (:REWRITE DEFAULT-+-2))
 (168 18 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (149 32 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (147 49 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (136 136 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (136 136 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (132 2 (:DEFINITION PREFIXP))
 (130 130 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (130 130 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (104 5 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (103 103 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (100 20 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (99 99 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (94 94 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (84 84 (:REWRITE DEFAULT-+-1))
 (78 5 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (72 72 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (68 68 (:LINEAR LEN-WHEN-PREFIXP))
 (54 54 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (48 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (39 22 (:REWRITE DEFAULT-<-2))
 (32 32 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (30 22 (:REWRITE DEFAULT-<-1))
 (27 3 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (18 18 (:TYPE-PRESCRIPTION PREFIXP))
 (15 15 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (14 14 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5 5 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (5 5 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 )
(ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5
 (1742 5 (:DEFINITION ABS-FIND-FILE-HELPER))
 (1692 564 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1158 564 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (873 71 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (646 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (645 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (598 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (459 10 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (408 18 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (287 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (281 17 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (254 92 (:REWRITE DEFAULT-CDR))
 (252 39 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (237 5 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (214 17 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (197 39 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (192 3 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (190 190 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (181 29 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (164 28 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (161 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (141 1 (:REWRITE LEN-WHEN-PREFIXP))
 (139 29 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (137 19 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (134 22 (:DEFINITION ASSOC-EQUAL))
 (130 130 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (130 42 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (130 42 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (128 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (122 71 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (112 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (102 5 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (95 5 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (93 10 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (80 80 (:TYPE-PRESCRIPTION ABS-FS-P))
 (79 15 (:DEFINITION LEN))
 (78 78 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (75 75 (:REWRITE DEFAULT-CAR))
 (74 74 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (72 4 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (66 10 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (63 63 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (60 60 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (51 17 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (48 4 (:DEFINITION MEMBER-EQUAL))
 (44 44 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (44 44 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (42 13 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (42 5 (:DEFINITION ABS-ASSOC-DEFINITION))
 (39 5 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (37 37 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (37 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (34 34 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (33 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (33 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (30 14 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (29 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (28 14 (:REWRITE DEFAULT-+-2))
 (26 26 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (25 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (25 5 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (18 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (15 15 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (15 15 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (15 5 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (15 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (14 14 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (14 14 (:REWRITE DEFAULT-+-1))
 (14 14 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (13 13 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (13 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (10 10 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (10 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9 9 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (9 3 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (9 3 (:DEFINITION NATP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (7 7 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (7 5 (:REWRITE DEFAULT-<-2))
 (7 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (7 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (6 5 (:REWRITE DEFAULT-<-1))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (5 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (5 1 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (4 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (3 3 (:TYPE-PRESCRIPTION PREFIXP))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1 1 (:REWRITE CONSP-OF-LIST-FIX))
 )
(ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-6
 (4402 255 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2891 33 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2729 85 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2506 88 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2497 74 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1650 58 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1551 55 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1329 58 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (1137 379 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1077 25 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (977 124 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (911 82 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (776 110 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (724 95 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (679 43 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (603 13 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (602 43 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (541 56 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (531 110 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (477 477 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (448 124 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (448 124 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (427 49 (:DEFINITION ASSOC-EQUAL))
 (415 35 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (384 255 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (380 58 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (353 85 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (345 25 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (336 336 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (284 284 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (260 52 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (256 13 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (248 248 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (244 244 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (240 35 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (182 182 (:REWRITE DEFAULT-CAR))
 (171 171 (:REWRITE DEFAULT-CDR))
 (162 162 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (162 162 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (154 10 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (129 43 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (126 22 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (110 110 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (106 106 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (86 86 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (85 85 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (80 80 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (55 55 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (53 53 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (52 52 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (40 40 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (30 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (26 26 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (26 26 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (25 25 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (15 15 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (15 15 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (15 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (10 10 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (3 3 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 )
(ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-8)
(ABS-FIND-FILE-HELPER-OF-COLLAPSE-1
 (227943 4102 (:DEFINITION ASSOC-EQUAL))
 (203774 1022 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (164398 2069 (:REWRITE LEN-WHEN-PREFIXP))
 (155980 1799 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (146198 768 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (106710 1552 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (105814 15550 (:DEFINITION LEN))
 (80454 3651 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (72234 19 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (70751 407 (:DEFINITION NTHCDR))
 (69442 438 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (59455 3813 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (56770 27262 (:REWRITE DEFAULT-CDR))
 (48426 46 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (45441 768 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (44209 42 (:REWRITE STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (40767 449 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (36812 1340 (:REWRITE NFIX-WHEN-ZP))
 (36292 23 (:REWRITE EQUAL-OF-FRAME-VAL))
 (36200 1335 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (31880 39 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (31880 39 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (31822 16272 (:REWRITE DEFAULT-+-2))
 (29263 84 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (28062 3825 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (26918 2069 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (26472 219 (:DEFINITION MEMBER-EQUAL))
 (26244 8748 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (26128 26128 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (25769 261 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (23947 926 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (22627 31 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (22527 1 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-2))
 (22318 56 (:DEFINITION REMOVE-EQUAL))
 (21351 23 (:DEFINITION PUT-ASSOC-EQUAL))
 (20373 168 (:REWRITE REMOVE-WHEN-ABSENT))
 (19596 6532 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (19596 6532 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (18895 11843 (:REWRITE DEFAULT-<-2))
 (17363 17031 (:REWRITE DEFAULT-CAR))
 (16272 16272 (:REWRITE DEFAULT-+-1))
 (15870 190 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (15294 327 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (14934 14106 (:LINEAR LEN-WHEN-PREFIXP))
 (13906 11843 (:REWRITE DEFAULT-<-1))
 (12821 2563 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (12610 192 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (10149 433 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (9240 301 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (8796 291 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (5754 18 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (5030 180 (:REWRITE SUBSETP-CAR-MEMBER))
 (4986 2988 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4219 14 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (4079 3725 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3988 212 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (3825 3825 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3825 3825 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3725 3725 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (3679 3625 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (3621 3513 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3618 16 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (3588 136 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3588 112 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (3228 158 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3204 117 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2998 134 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (2990 150 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2978 1329 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2944 100 (:DEFINITION NATP))
 (2831 23 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (2699 1329 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (2645 41 (:REWRITE MEMBER-OF-STRIP-CARS))
 (2480 150 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (2366 22 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (2360 751 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2247 52 (:REWRITE SUBSETP-OF-REMOVE2))
 (2188 12 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (2070 150 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (2020 5 (:REWRITE SUBSETP-OF-REMOVE1))
 (2009 182 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1993 766 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1984 766 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1818 454 (:DEFINITION STRIP-CARS))
 (1713 1560 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1695 5 (:REWRITE FRAME-ADDRS-ROOT-OF-REMOVE-ASSOC))
 (1692 692 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1627 1627 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (1580 1556 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1576 1513 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1556 1556 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1552 1552 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1498 1498 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1267 1267 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1267 1267 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1229 1229 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1160 416 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1140 408 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (1083 361 (:REWRITE COMMUTATIVITY-OF-+))
 (1076 752 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1073 1073 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (1041 416 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1040 10 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (989 36 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (968 44 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (914 457 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (900 382 (:REWRITE MEMBER-WHEN-ATOM))
 (831 831 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (830 10 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (828 126 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (819 234 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (816 816 (:TYPE-PRESCRIPTION NAMES-AT))
 (812 812 (:REWRITE SUBSETP-TRANS2))
 (812 812 (:REWRITE SUBSETP-TRANS))
 (802 382 (:REWRITE SUBSETP-MEMBER . 4))
 (717 14 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (702 117 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (652 652 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (594 594 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (590 22 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (524 44 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (504 18 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (499 499 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (468 234 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (438 438 (:REWRITE SUBSETP-MEMBER . 2))
 (438 438 (:REWRITE SUBSETP-MEMBER . 1))
 (424 212 (:REWRITE SET-EQUIV-ASYM))
 (392 75 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (386 386 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (382 382 (:REWRITE SUBSETP-MEMBER . 3))
 (382 382 (:REWRITE INTERSECTP-MEMBER . 3))
 (382 382 (:REWRITE INTERSECTP-MEMBER . 2))
 (348 38 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (343 343 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (326 107 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (326 97 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (320 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (284 142 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (284 11 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (272 272 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (262 22 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (252 72 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (252 72 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (251 55 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (248 248 (:TYPE-PRESCRIPTION SET-EQUIV))
 (248 49 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (241 53 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (234 234 (:TYPE-PRESCRIPTION STRING-LISTP))
 (234 234 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (234 234 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (234 117 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (234 14 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (230 46 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (217 217 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (210 210 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (208 37 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (204 18 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (195 195 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (192 192 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (190 190 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (180 180 (:REWRITE SUBSETP-OF-CDR))
 (174 22 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (173 19 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (172 62 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (165 165 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (160 32 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (147 65 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (142 142 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (142 142 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (136 136 (:TYPE-PRESCRIPTION NATP))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (134 134 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (130 130 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (129 18 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (117 117 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (117 117 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (117 117 (:REWRITE SET::IN-SET))
 (108 108 (:REWRITE CONSP-OF-LIST-FIX))
 (107 107 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (100 97 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (94 94 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (94 94 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (94 94 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (94 47 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (94 19 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (91 91 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (90 10 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (80 80 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (72 72 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (72 72 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (64 32 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (59 59 (:REWRITE INTERSECTP-MEMBER . 1))
 (57 57 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (54 18 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (42 42 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (36 36 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (36 36 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (32 32 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (32 32 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (32 32 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (32 8 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (19 19 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (14 14 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (14 7 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (8 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (8 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (8 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (5 5 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2 2 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 )
(ABS-FIND-FILE-HELPER-OF-COLLAPSE-2
 (135203 1581 (:DEFINITION ASSOC-EQUAL))
 (119297 651 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (95551 1410 (:REWRITE LEN-WHEN-PREFIXP))
 (93130 1205 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (92838 523 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (77942 1019 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (77251 11305 (:DEFINITION LEN))
 (63398 9839 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (50964 272 (:DEFINITION NTHCDR))
 (38309 16797 (:REWRITE DEFAULT-CDR))
 (32834 523 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (32260 24 (:REWRITE STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (29254 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 1))
 (28339 14 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (27067 1109 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (26703 892 (:REWRITE NFIX-WHEN-ZP))
 (26059 6 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (23759 274 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (23112 11807 (:REWRITE DEFAULT-+-2))
 (22527 1 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-2))
 (20957 19 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (20957 19 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (20450 7 (:REWRITE EQUAL-OF-FRAME-VAL))
 (20360 1192 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (20173 197 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (20063 1409 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19351 15 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (18888 18888 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (18789 535 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (16024 34 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (14921 90 (:DEFINITION MEMBER-EQUAL))
 (14476 7 (:DEFINITION PUT-ASSOC-EQUAL))
 (14227 28 (:DEFINITION REMOVE-EQUAL))
 (14166 4722 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (14166 4722 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (13120 241 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (12875 84 (:REWRITE REMOVE-WHEN-ABSENT))
 (11807 11807 (:REWRITE DEFAULT-+-1))
 (11594 1701 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (11066 10238 (:LINEAR LEN-WHEN-PREFIXP))
 (10976 663 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (9631 82 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (9615 1178 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (9579 5290 (:REWRITE DEFAULT-<-2))
 (9323 288 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (8766 2922 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (8463 47 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (8233 50 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (6935 6788 (:REWRITE DEFAULT-CAR))
 (6693 5290 (:REWRITE DEFAULT-<-1))
 (5891 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (4212 182 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4001 299 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3521 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (3383 2006 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3047 17 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (3020 110 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (2838 56 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2273 1 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (2068 48 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (2048 2 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (2014 64 (:REWRITE SUBSETP-CAR-MEMBER))
 (1989 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1977 878 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1844 878 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1636 60 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1635 524 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1593 81 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (1537 80 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (1505 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-6))
 (1480 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (1403 64 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1351 80 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (1350 62 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1335 1140 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1323 81 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (1222 477 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1180 1027 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1178 1178 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1178 1178 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1140 1140 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1107 81 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1103 1070 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1096 1030 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1076 38 (:DEFINITION NATP))
 (1047 1023 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1023 1023 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1021 13 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (1019 1019 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (990 100 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (975 299 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (942 235 (:DEFINITION STRIP-CARS))
 (852 4 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (816 316 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (812 316 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (805 298 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (754 298 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (753 251 (:REWRITE COMMUTATIVITY-OF-+))
 (743 680 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (704 352 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (680 228 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (669 669 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (620 18 (:REWRITE SUBSETP-OF-REMOVE2))
 (619 288 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (617 29 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (608 22 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (589 265 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (560 560 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (542 22 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (530 530 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (525 525 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (488 244 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (424 29 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (417 174 (:REWRITE MEMBER-WHEN-ATOM))
 (403 337 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (396 8 (:REWRITE MEMBER-OF-STRIP-CARS))
 (395 395 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (383 53 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (372 372 (:TYPE-PRESCRIPTION NAMES-AT))
 (345 345 (:REWRITE SUBSETP-TRANS2))
 (345 345 (:REWRITE SUBSETP-TRANS))
 (328 328 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (325 325 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (308 11 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (299 299 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (288 6 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (233 233 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (233 233 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (233 233 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (226 226 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (225 24 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (209 17 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (206 2 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (203 58 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (180 180 (:REWRITE SUBSETP-MEMBER . 2))
 (180 180 (:REWRITE SUBSETP-MEMBER . 1))
 (174 174 (:REWRITE SUBSETP-MEMBER . 4))
 (174 174 (:REWRITE SUBSETP-MEMBER . 3))
 (174 174 (:REWRITE INTERSECTP-MEMBER . 3))
 (174 174 (:REWRITE INTERSECTP-MEMBER . 2))
 (169 29 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (165 165 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (154 44 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (154 44 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (144 72 (:REWRITE SET-EQUIV-ASYM))
 (132 132 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (131 131 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (126 6 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS))
 (125 22 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (124 124 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (120 120 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (116 58 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (110 55 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (105 21 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (99 14 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (98 7 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (94 94 (:TYPE-PRESCRIPTION SET-EQUIV))
 (93 93 (:TYPE-PRESCRIPTION CTX-APP))
 (88 4 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (87 11 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (85 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (80 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (78 78 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (76 76 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (73 31 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (69 69 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (64 64 (:REWRITE SUBSETP-OF-CDR))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (63 60 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (60 60 (:TYPE-PRESCRIPTION NATP))
 (60 60 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (60 16 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (60 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (60 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (58 58 (:TYPE-PRESCRIPTION STRING-LISTP))
 (58 58 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (58 58 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (58 29 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (57 57 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (50 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (48 48 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (44 44 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (44 44 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (44 44 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (44 44 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (44 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (44 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (42 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (40 40 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (40 8 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (40 5 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (40 4 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (38 19 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (35 35 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (35 15 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (33 12 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (31 31 (:TYPE-PRESCRIPTION M1-FILE-P))
 (31 31 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (30 30 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (29 29 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (29 29 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (29 29 (:REWRITE SET::IN-SET))
 (27 27 (:REWRITE INTERSECTP-MEMBER . 1))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (26 26 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (26 6 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (25 5 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (24 24 (:REWRITE CONSP-OF-LIST-FIX))
 (24 2 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (22 22 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (22 22 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (22 22 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (22 22 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (22 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (22 2 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (18 18 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (18 6 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
 (16 8 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (16 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (15 5 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (14 14 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (14 6 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-2))
 (14 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (12 12 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (12 4 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (12 4 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (10 10 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE))
 (8 8 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (8 8 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (8 4 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (6 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-6))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (6 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (5 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (5 5 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (5 5 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (4 4 (:REWRITE ABS-SEPARATE-CORRECTNESS-LEMMA-9))
 (2 2 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (1 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-1
 (18748 4 (:DEFINITION ABS-FIND-FILE))
 (13192 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (13040 148 (:REWRITE LEN-WHEN-PREFIXP))
 (10892 252 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (9360 80 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (8604 140 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8136 80 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (7284 4 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (6752 4 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (5676 236 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5360 784 (:DEFINITION LEN))
 (4888 80 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (4880 784 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4300 100 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3460 3460 (:TYPE-PRESCRIPTION LEN))
 (1584 800 (:REWRITE DEFAULT-+-2))
 (1568 1568 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1376 8 (:DEFINITION NTHCDR))
 (1176 392 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1176 392 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1104 24 (:REWRITE ZP-OPEN))
 (1100 28 (:REWRITE NFIX-WHEN-ZP))
 (1032 1032 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (1016 1016 (:REWRITE DEFAULT-CDR))
 (992 12 (:REWRITE CONSP-OF-NTHCDR))
 (800 800 (:REWRITE DEFAULT-+-1))
 (784 784 (:LINEAR LEN-WHEN-PREFIXP))
 (752 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (668 236 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (664 332 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (540 540 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (504 504 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (448 28 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (400 400 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (392 168 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (380 236 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (352 184 (:REWRITE DEFAULT-<-2))
 (324 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (320 184 (:REWRITE DEFAULT-<-1))
 (308 48 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (256 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (244 244 (:TYPE-PRESCRIPTION PREFIXP))
 (216 216 (:REWRITE DEFAULT-CAR))
 (196 56 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (192 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (184 184 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (176 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (176 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (152 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (148 148 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (136 136 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (128 28 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (116 80 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (112 56 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (112 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (112 24 (:DEFINITION NOT))
 (112 8 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (104 52 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (96 96 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (92 28 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (80 80 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (80 80 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (80 80 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (80 80 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (72 24 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (72 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (64 64 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (56 56 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (56 56 (:TYPE-PRESCRIPTION STRING-LISTP))
 (56 56 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (56 56 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (56 28 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (48 28 (:REWRITE NFIX-WHEN-NATP))
 (48 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (36 12 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (32 32 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (32 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (28 28 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (28 28 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (28 28 (:REWRITE SET::IN-SET))
 (28 28 (:REWRITE CONSP-OF-LIST-FIX))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (24 8 (:REWRITE COMMUTATIVITY-OF-+))
 (24 8 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (24 4 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (16 16 (:TYPE-PRESCRIPTION ZP))
 (16 16 (:TYPE-PRESCRIPTION NFIX))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (16 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (8 8 (:TYPE-PRESCRIPTION ABS-FS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE SUBSETP-REFL))
 (8 8 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (4 4 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-4
 (4945 112 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (4716 69 (:REWRITE LEN-WHEN-PREFIXP))
 (4330 188 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3572 66 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3136 44 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3086 56 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2783 48 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2622 162 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2060 26 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1820 22 (:DEFINITION PREFIXP))
 (1758 85 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1676 287 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1562 127 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1518 58 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1405 132 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1196 69 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1118 1118 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1089 363 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (994 760 (:REWRITE DEFAULT-CDR))
 (949 20 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (931 126 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (881 41 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (807 31 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (794 109 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (663 41 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (653 72 (:DEFINITION ASSOC-EQUAL))
 (639 40 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (597 20 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (577 85 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (573 559 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (560 40 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (543 73 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (526 493 (:REWRITE DEFAULT-CAR))
 (507 507 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (488 488 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (485 75 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (472 472 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (426 426 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (376 188 (:REWRITE DEFAULT-+-2))
 (366 122 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (366 122 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (360 104 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (360 104 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (334 20 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (323 188 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (308 87 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (271 271 (:TYPE-PRESCRIPTION ABS-FS-P))
 (244 244 (:LINEAR LEN-WHEN-PREFIXP))
 (230 46 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (218 218 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (198 53 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (188 188 (:REWRITE DEFAULT-+-1))
 (182 182 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (154 77 (:REWRITE DEFAULT-<-2))
 (152 77 (:REWRITE DEFAULT-<-1))
 (142 112 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (128 128 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (128 128 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (128 10 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (120 40 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (117 81 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (112 112 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (112 112 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (98 98 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (92 92 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (89 89 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (89 89 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (89 89 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (89 89 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (87 87 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (85 85 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (85 85 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (68 68 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (61 7 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (48 48 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (46 46 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (38 38 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (35 7 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (34 34 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (34 34 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (27 27 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (26 26 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (20 20 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (17 17 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (5 5 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-38
 (412604 5301 (:REWRITE LEN-WHEN-PREFIXP))
 (191286 5156 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (105119 10686 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (91401 10450 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (71912 1450 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (56165 28797 (:REWRITE DEFAULT-+-2))
 (51020 51020 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (49778 144 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (38265 12755 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (38265 12755 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (28801 28797 (:REWRITE DEFAULT-+-1))
 (26590 25510 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19836 38 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (17641 353 (:DEFINITION MEMBER-EQUAL))
 (17500 382 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (17286 5762 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (16080 210 (:REWRITE SUBSETP-CAR-MEMBER))
 (15918 1504 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (13287 7732 (:REWRITE DEFAULT-<-2))
 (12821 2124 (:DEFINITION ASSOC-EQUAL))
 (11980 7 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-2))
 (11609 7732 (:REWRITE DEFAULT-<-1))
 (11543 104 (:REWRITE SUBSETP-OF-REMOVE1))
 (11187 271 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (10889 10622 (:REWRITE DEFAULT-CAR))
 (10550 7657 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9978 74 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (9699 640 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9606 444 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (9602 182 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (8562 72 (:DEFINITION NTH))
 (7819 580 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (7495 222 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (6671 55 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-2))
 (6593 2 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 (5766 3344 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5558 3344 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (5076 144 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (4781 72 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (4718 611 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4412 2907 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4297 188 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (4236 107 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4178 216 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (4088 45 (:REWRITE REMOVE-WHEN-ABSENT))
 (3333 2907 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3296 15 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (3193 255 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2987 2907 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2917 403 (:DEFINITION NATP))
 (2877 721 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2871 2871 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2617 953 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2486 76 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2481 62 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2309 2309 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2174 15 (:DEFINITION REMOVE-EQUAL))
 (2145 77 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2140 545 (:REWRITE MEMBER-WHEN-ATOM))
 (2117 72 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1809 21 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1738 144 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (1698 1698 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1674 144 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1662 78 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (1637 59 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (1634 55 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1555 640 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1480 652 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1473 526 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1448 1448 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1402 377 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1356 72 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1297 403 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (1222 1222 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1179 332 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1076 55 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (1041 72 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1012 183 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (984 246 (:DEFINITION STRIP-CARS))
 (977 977 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (953 953 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (920 45 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (919 502 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (918 90 (:REWRITE SUBSETP-OF-REMOVE2))
 (898 112 (:REWRITE MEMBER-OF-STRIP-CARS))
 (895 895 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (887 887 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (870 59 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (853 502 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (851 207 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (842 59 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (808 808 (:REWRITE SUBSETP-MEMBER . 2))
 (808 808 (:REWRITE SUBSETP-MEMBER . 1))
 (805 35 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (786 72 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (770 88 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (754 754 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (704 60 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (676 676 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (664 72 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (651 651 (:REWRITE SUBSETP-TRANS2))
 (651 651 (:REWRITE SUBSETP-TRANS))
 (651 144 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (620 62 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (577 577 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (566 566 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (566 566 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (566 566 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (550 94 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (547 547 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (545 545 (:REWRITE SUBSETP-MEMBER . 4))
 (545 545 (:REWRITE SUBSETP-MEMBER . 3))
 (545 545 (:REWRITE INTERSECTP-MEMBER . 3))
 (545 545 (:REWRITE INTERSECTP-MEMBER . 2))
 (540 90 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (515 64 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (504 60 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (498 498 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (485 485 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (483 153 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (433 433 (:REWRITE CONSP-OF-STRIP-CARS))
 (420 210 (:REWRITE SET-EQUIV-ASYM))
 (410 4 (:REWRITE LEN-OF-NTHCDR))
 (371 371 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (360 72 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (360 72 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (360 72 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (358 326 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (354 59 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (329 329 (:TYPE-PRESCRIPTION SET-EQUIV))
 (328 328 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (324 324 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (312 249 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (294 84 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (294 84 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (270 90 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (269 94 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (221 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (216 216 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (216 72 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (214 214 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (209 209 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (207 144 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (198 72 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (180 180 (:TYPE-PRESCRIPTION STRING-LISTP))
 (180 180 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (180 180 (:REWRITE SUBSETP-OF-CDR))
 (180 90 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (153 153 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (149 149 (:REWRITE SUBSETP-REFL))
 (144 144 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (144 144 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (144 144 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (144 144 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (138 138 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (135 72 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (110 55 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (102 72 (:REWRITE NTH-WHEN-PREFIXP))
 (90 90 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (90 90 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (90 90 (:REWRITE SET::IN-SET))
 (88 88 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (84 84 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (84 84 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (72 72 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (72 72 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (72 72 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (72 72 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (70 70 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (60 60 (:REWRITE SUBSETP-OF-REMOVE))
 (56 56 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (50 50 (:TYPE-PRESCRIPTION NULL))
 (50 50 (:DEFINITION NULL))
 (48 8 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (42 42 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (42 42 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (38 8 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (36 36 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (32 32 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (28 28 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (24 24 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (24 8 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (24 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (16 16 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (15 15 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (8 4 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-3
 (14061 3 (:DEFINITION ABS-FIND-FILE))
 (9918 13 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (9780 111 (:REWRITE LEN-WHEN-PREFIXP))
 (8193 190 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (7020 60 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (6453 105 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6102 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (5463 3 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (5064 3 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (4695 1 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (4258 178 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (4030 590 (:DEFINITION LEN))
 (3666 60 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3664 592 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1192 602 (:REWRITE DEFAULT-+-2))
 (1184 1184 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (888 296 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (888 296 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (828 18 (:REWRITE ZP-OPEN))
 (825 21 (:REWRITE NFIX-WHEN-ZP))
 (821 782 (:REWRITE DEFAULT-CDR))
 (744 9 (:REWRITE CONSP-OF-NTHCDR))
 (602 602 (:REWRITE DEFAULT-+-1))
 (592 592 (:LINEAR LEN-WHEN-PREFIXP))
 (566 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (502 178 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (498 249 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (405 405 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (336 21 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (300 300 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (294 126 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (286 178 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (270 142 (:REWRITE DEFAULT-<-2))
 (256 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (247 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (245 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (244 142 (:REWRITE DEFAULT-<-1))
 (231 36 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (195 192 (:REWRITE DEFAULT-CAR))
 (192 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (183 183 (:TYPE-PRESCRIPTION PREFIXP))
 (153 43 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (146 27 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (144 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (141 47 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (138 1 (:DEFINITION MEMBER-EQUAL))
 (132 60 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (132 60 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (127 13 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (121 10 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (111 111 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (104 104 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (96 21 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (94 47 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (87 60 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (87 43 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (78 39 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (76 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (75 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (72 72 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (69 21 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (66 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (62 62 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (60 60 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (60 60 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (60 60 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (60 60 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (60 2 (:DEFINITION NATP))
 (58 58 (:TYPE-PRESCRIPTION STRIP-CARS))
 (56 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (54 18 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (54 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (48 48 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (48 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (46 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (45 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (44 44 (:TYPE-PRESCRIPTION STRING-LISTP))
 (44 44 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (44 22 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (43 43 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (38 7 (:DEFINITION ASSOC-EQUAL))
 (36 21 (:REWRITE NFIX-WHEN-NATP))
 (35 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (35 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (34 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (34 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (32 32 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (27 9 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (26 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (26 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (24 8 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (23 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (22 22 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (22 22 (:REWRITE SET::IN-SET))
 (21 21 (:REWRITE SUBSETP-TRANS2))
 (21 21 (:REWRITE SUBSETP-TRANS))
 (21 21 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (21 21 (:REWRITE CONSP-OF-LIST-FIX))
 (21 4 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 16 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (16 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (15 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (14 4 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (14 4 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (14 4 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (13 13 (:TYPE-PRESCRIPTION NFIX))
 (13 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (12 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11 11 (:TYPE-PRESCRIPTION ABS-FS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 8 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 2 (:DEFINITION STRIP-CARS))
 (7 7 (:REWRITE SUBSETP-REFL))
 (7 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (5 2 (:REWRITE MEMBER-WHEN-ATOM))
 (5 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (3 3 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-15
 (201765 3199 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (184063 1439 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (156016 1891 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (152097 1070 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (151204 1878 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (130973 1255 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (93200 1097 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (85084 919 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (72844 846 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (71080 13135 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (66255 486 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (64379 75 (:REWRITE REMOVE-WHEN-ABSENT))
 (52796 805 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (44151 2761 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (38206 25 (:DEFINITION REMOVE-EQUAL))
 (32897 328 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (27860 2144 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (20457 240 (:REWRITE LEN-WHEN-PREFIXP))
 (18946 1768 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (17139 183 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (16206 25 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (15781 25 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (15518 12508 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (15074 12508 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (14088 13863 (:REWRITE DEFAULT-CAR))
 (13515 4505 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (12929 2214 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (12759 12685 (:REWRITE SUBSETP-TRANS))
 (12699 12685 (:REWRITE SUBSETP-TRANS2))
 (11958 36 (:DEFINITION PREFIXP))
 (11606 805 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (10143 9957 (:REWRITE SUBSETP-MEMBER . 1))
 (9957 9957 (:REWRITE SUBSETP-MEMBER . 2))
 (9206 25 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (9131 25 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (8777 182 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (8722 67 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (8013 167 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (6996 248 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (6628 463 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (6551 1255 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6500 2214 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (6400 25 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (6334 74 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (6170 1878 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5957 1584 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5747 946 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5653 3199 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4603 90 (:DEFINITION NATP))
 (4556 240 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4428 4428 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4286 4286 (:TYPE-PRESCRIPTION STRING-LISTP))
 (4286 4286 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4286 2143 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4110 404 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (3782 3782 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3223 3223 (:TYPE-PRESCRIPTION STRIP-CARS))
 (3128 37 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (2729 167 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2617 2617 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2536 37 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (2415 805 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2215 107 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (2214 2214 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2146 2146 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2146 2146 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2143 2143 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2143 2143 (:REWRITE SET::IN-SET))
 (1976 1976 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1954 52 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1870 1870 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1855 138 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1846 124 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1622 281 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1584 1584 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1569 794 (:REWRITE DEFAULT-+-2))
 (1567 1132 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1536 62 (:REWRITE NFIX-WHEN-ZP))
 (1482 494 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1482 494 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1481 167 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1446 37 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (1310 72 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1255 1255 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (1196 52 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1012 1012 (:LINEAR LEN-WHEN-PREFIXP))
 (1008 252 (:DEFINITION STRIP-CARS))
 (935 37 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (852 493 (:REWRITE DEFAULT-<-2))
 (846 846 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (794 794 (:REWRITE DEFAULT-+-1))
 (773 236 (:REWRITE MEMBER-WHEN-ATOM))
 (750 70 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (745 493 (:REWRITE DEFAULT-<-1))
 (590 590 (:REWRITE LIST-FIX-UNDER-LIST-EQUIV))
 (537 537 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (504 504 (:REWRITE CONSP-OF-STRIP-CARS))
 (427 72 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (385 35 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (370 74 (:LINEAR NTH-WHEN-D-E-P))
 (356 281 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (350 100 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (350 100 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (350 100 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (349 27 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (340 68 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (337 262 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (329 293 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (281 281 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (281 281 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (274 124 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (262 262 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (257 253 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (250 125 (:REWRITE SET-EQUIV-ASYM))
 (240 240 (:REWRITE SUBSETP-MEMBER . 4))
 (240 240 (:REWRITE INTERSECTP-MEMBER . 3))
 (240 240 (:REWRITE INTERSECTP-MEMBER . 2))
 (240 80 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (226 2 (:REWRITE SUBSETP-OF-REMOVE1))
 (222 222 (:TYPE-PRESCRIPTION D-E-P))
 (222 222 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (200 200 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (185 37 (:REWRITE NTH-WHEN-D-E-P . 2))
 (183 183 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (182 182 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (182 182 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (182 182 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (182 182 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (157 157 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (157 157 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (150 150 (:TYPE-PRESCRIPTION SET-EQUIV))
 (150 150 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (150 25 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (144 144 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (144 2 (:REWRITE SUBSETP-OF-REMOVE2))
 (143 143 (:REWRITE SUBSETP-REFL))
 (140 131 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (125 125 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (121 121 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (112 112 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (105 62 (:REWRITE NFIX-WHEN-NATP))
 (100 100 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (100 100 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (100 100 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (92 92 (:TYPE-PRESCRIPTION NATP))
 (87 51 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (83 83 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (80 80 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (77 77 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (75 75 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (74 74 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (72 72 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (64 64 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (50 50 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (50 50 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (50 50 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (40 40 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (38 38 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (37 37 (:REWRITE INTERSECTP-MEMBER . 1))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (37 37 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (36 36 (:REWRITE NTH-WHEN-PREFIXP))
 (34 34 (:REWRITE SUBSETP-NIL))
 (34 34 (:REWRITE SET-EQUIV-OF-NIL))
 (25 25 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (19 19 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (16 16 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (16 16 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (15 15 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (13 13 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-40
 (6032 328 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4875 102 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (4272 51 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (4209 123 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (4205 108 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3312 296 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3157 101 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2177 77 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2037 93 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1569 523 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1330 108 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1308 168 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1083 30 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1019 155 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (960 60 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (840 60 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (788 78 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (742 119 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (674 155 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (665 665 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (627 93 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (610 71 (:DEFINITION ASSOC-EQUAL))
 (604 50 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (600 168 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (600 168 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (508 328 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (491 491 (:TYPE-PRESCRIPTION ABS-FS-P))
 (480 30 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (475 110 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (472 472 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (394 394 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (390 78 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (354 50 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (336 336 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (331 331 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (263 263 (:REWRITE DEFAULT-CDR))
 (263 263 (:REWRITE DEFAULT-CAR))
 (216 216 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (216 216 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (205 13 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (198 30 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (195 195 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (180 60 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (155 155 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (148 148 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (120 120 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (118 118 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (110 110 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (84 84 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (83 83 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (78 78 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (77 77 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (59 59 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (54 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (41 41 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (30 30 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (27 9 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (22 22 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (22 22 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (22 22 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (15 15 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (9 9 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (7 7 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-FIND-FILE-CORRECTNESS-1-LEMMA-6
 (20348 759 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (18068 39 (:REWRITE REMOVE-WHEN-ABSENT))
 (15909 411 (:DEFINITION MEMBER-EQUAL))
 (15156 217 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (11170 209 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9956 13 (:DEFINITION REMOVE-EQUAL))
 (9004 596 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8430 87 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (7384 395 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6614 230 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5911 387 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5220 13 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (5025 13 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4973 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (4353 858 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4253 303 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3929 127 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3912 1304 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3652 236 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3173 54 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3027 347 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2946 147 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2936 11 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2624 120 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2564 159 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2054 1358 (:REWRITE DEFAULT-CDR))
 (2045 745 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2001 83 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1875 257 (:DEFINITION ASSOC-EQUAL))
 (1864 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1785 13 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1763 54 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1740 1623 (:REWRITE DEFAULT-CAR))
 (1700 180 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1668 163 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1566 1566 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1492 42 (:DEFINITION NATP))
 (1486 354 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1372 39 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1302 125 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1299 387 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1087 612 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (954 24 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (851 851 (:REWRITE SUBSETP-MEMBER . 2))
 (838 608 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (814 54 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (763 79 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (745 745 (:REWRITE SUBSETP-TRANS2))
 (745 745 (:REWRITE SUBSETP-TRANS))
 (691 13 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (532 123 (:DEFINITION STRIP-CARS))
 (528 24 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (477 159 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (468 36 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (456 456 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (456 456 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (415 13 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (396 75 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (378 246 (:REWRITE CONSP-OF-STRIP-CARS))
 (354 354 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (352 352 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (340 13 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (325 184 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (303 303 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (278 14 (:REWRITE TAKE-OF-LEN-FREE))
 (274 111 (:REWRITE MEMBER-WHEN-ATOM))
 (274 29 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (264 264 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (249 209 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (243 17 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (196 150 (:REWRITE DEFAULT-<-2))
 (186 44 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (186 44 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (186 44 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (184 184 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (178 38 (:REWRITE NFIX-WHEN-ZP))
 (168 150 (:REWRITE DEFAULT-<-1))
 (155 13 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (143 11 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (139 76 (:REWRITE DEFAULT-+-2))
 (138 13 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (134 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (116 116 (:LINEAR LEN-WHEN-PREFIXP))
 (116 116 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (114 114 (:REWRITE SUBSETP-MEMBER . 4))
 (114 114 (:REWRITE SUBSETP-MEMBER . 3))
 (114 114 (:REWRITE INTERSECTP-MEMBER . 3))
 (114 114 (:REWRITE INTERSECTP-MEMBER . 2))
 (108 75 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (106 26 (:LINEAR NTH-WHEN-D-E-P))
 (102 36 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (95 95 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (95 95 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (87 54 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (76 76 (:REWRITE DEFAULT-+-1))
 (76 2 (:REWRITE SUBSETP-OF-REMOVE2))
 (75 75 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (75 75 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (75 25 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (71 71 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (70 70 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (68 68 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (68 17 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (66 66 (:TYPE-PRESCRIPTION REPEAT))
 (66 66 (:TYPE-PRESCRIPTION D-E-P))
 (66 66 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (66 6 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (65 35 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (63 63 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (61 61 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (57 57 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (54 54 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (54 54 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (54 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (53 13 (:REWRITE NTH-WHEN-D-E-P . 2))
 (52 2 (:REWRITE SUBSETP-OF-REMOVE1))
 (48 48 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (48 24 (:REWRITE SET-EQUIV-ASYM))
 (48 14 (:REWRITE CONSP-OF-TAKE))
 (44 44 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (44 44 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (44 22 (:REWRITE DEFAULT-*-2))
 (42 42 (:TYPE-PRESCRIPTION NATP))
 (41 7 (:REWRITE CAR-OF-TAKE))
 (35 35 (:TYPE-PRESCRIPTION SET-EQUIV))
 (33 33 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (33 3 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (30 30 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (30 24 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (30 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (29 29 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (27 27 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (25 11 (:REWRITE CONSP-OF-REPEAT))
 (25 7 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (24 2 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (22 22 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (22 22 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE DEFAULT-*-1))
 (20 2 (:DEFINITION HONS-ASSOC-EQUAL))
 (19 5 (:DEFINITION ATOM))
 (18 18 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (16 2 (:REWRITE REPEAT-WHEN-ZP))
 (12 12 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (12 12 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (12 12 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (11 11 (:REWRITE NTH-WHEN-PREFIXP))
 (11 2 (:REWRITE SUBSETP-OF-REPEAT))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 1))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (8 8 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (7 7 (:REWRITE SUBSETP-NIL))
 (7 3 (:REWRITE SET-EQUIV-OF-NIL))
 (5 5 (:REWRITE MEMBER-OF-CAR))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-REPEAT))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 2 (:DEFINITION HONS-EQUAL))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(ABS-FIND-FILE-CORRECTNESS-1-LEMMA-23
 (72734 1778 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (66461 817 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (52077 9278 (:REWRITE DEFAULT-CDR))
 (47849 1256 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (46080 701 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (31859 817 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (28195 190 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (21823 1099 (:REWRITE ZP-OPEN))
 (18962 554 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (16725 817 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (13522 552 (:DEFINITION ASSOC-EQUAL))
 (12641 817 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (11595 6166 (:REWRITE DEFAULT-+-2))
 (11550 3850 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (10367 107 (:DEFINITION MEMBER-EQUAL))
 (9964 542 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9636 9636 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9303 405 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (8664 24 (:REWRITE REMOVE-WHEN-ABSENT))
 (8349 2783 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (7613 143 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (7554 165 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7324 2712 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (7265 7265 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (7230 1678 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (7227 2409 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (7227 2409 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (7012 293 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (6824 116 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (6627 429 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (6408 307 (:REWRITE NFIX-WHEN-ZP))
 (6343 3504 (:REWRITE DEFAULT-CAR))
 (6166 6166 (:REWRITE DEFAULT-+-1))
 (5954 127 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (5611 82 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (5554 1356 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5529 3508 (:REWRITE DEFAULT-<-2))
 (5369 95 (:DEFINITION NTH))
 (4767 429 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (4749 32 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4656 218 (:REWRITE SUBSETP-MEMBER . 1))
 (4552 8 (:DEFINITION REMOVE-EQUAL))
 (4500 84 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (4483 3508 (:REWRITE DEFAULT-<-1))
 (4396 12 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4224 2112 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4192 12 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4138 810 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4111 344 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3548 4 (:REWRITE SUBSETP-OF-REMOVE1))
 (3220 209 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3220 12 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3074 194 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2795 233 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2626 75 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2497 143 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2414 2414 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (2358 393 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (2342 186 (:REWRITE SUBSETP-MEMBER . 4))
 (2277 453 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (2242 1678 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2150 1838 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1923 1923 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1848 143 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1724 210 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1698 264 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1694 1678 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1598 706 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1581 50 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1513 96 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (1484 233 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1420 92 (:DEFINITION NATP))
 (1372 96 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1312 1312 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1280 1280 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (1275 75 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1254 66 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (1238 718 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1238 718 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1236 210 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1210 1210 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1206 56 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-9))
 (1107 618 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1107 188 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1076 291 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1056 24 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1050 75 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1026 186 (:REWRITE SUBSETP-MEMBER . 3))
 (1017 17 (:DEFINITION NTHCDR))
 (993 817 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (962 962 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (959 203 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (944 542 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (933 618 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (864 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (860 210 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (828 12 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (808 24 (:REWRITE SUBSETP-CAR-MEMBER))
 (790 96 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (760 380 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (746 730 (:REWRITE SUBSETP-TRANS2))
 (730 730 (:REWRITE SUBSETP-TRANS))
 (725 205 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (725 205 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (706 56 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17))
 (684 75 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (676 676 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (610 610 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (605 291 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (590 47 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (570 95 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (528 528 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (517 481 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (501 429 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (489 453 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (476 56 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (474 182 (:REWRITE MEMBER-WHEN-ATOM))
 (465 429 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (453 453 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (453 453 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (432 432 (:TYPE-PRESCRIPTION M1-FILE-P))
 (429 429 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (408 92 (:DEFINITION STRIP-CARS))
 (401 203 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (392 34 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (352 352 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (352 352 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (352 352 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (328 192 (:REWRITE CONSP-OF-STRIP-CARS))
 (323 203 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (314 314 (:TYPE-PRESCRIPTION STRING-LISTP))
 (314 314 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (314 157 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (306 56 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (298 100 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (291 291 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (290 290 (:REWRITE CONSP-OF-LIST-FIX))
 (279 28 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (262 218 (:REWRITE SUBSETP-MEMBER . 2))
 (260 260 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (260 260 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (233 233 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (225 75 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (216 48 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (216 48 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (216 48 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (215 215 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (210 210 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (203 203 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (196 196 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (192 192 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (192 192 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (192 192 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (189 47 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (175 175 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (172 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (159 16 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (157 157 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (157 157 (:REWRITE SET::IN-SET))
 (153 30 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (152 4 (:REWRITE SUBSETP-OF-REMOVE2))
 (144 12 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (127 99 (:REWRITE NTH-WHEN-PREFIXP))
 (100 100 (:TYPE-PRESCRIPTION NATP))
 (100 100 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (96 96 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (96 96 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (84 84 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (84 84 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (80 80 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (60 60 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (56 28 (:REWRITE SET-EQUIV-ASYM))
 (55 55 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (54 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (52 12 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (51 17 (:REWRITE COMMUTATIVITY-OF-+))
 (48 48 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (48 48 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (48 48 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (47 47 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (42 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (40 40 (:TYPE-PRESCRIPTION SET-EQUIV))
 (39 12 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (37 37 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (28 28 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (25 25 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (24 24 (:REWRITE SUBSETP-OF-CDR))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE SUBSETP-REFL))
 (12 12 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (12 2 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (9 9 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-10
 (1822 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (1330 46 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1258 44 (:DEFINITION MEMBER-EQUAL))
 (1206 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (976 18 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (890 2 (:DEFINITION REMOVE-EQUAL))
 (834 46 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (818 24 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (750 64 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (724 32 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (646 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (624 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (616 24 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (612 2 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (578 16 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (577 109 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (544 8 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (532 32 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (512 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (450 22 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (348 116 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (330 20 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (320 46 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (274 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (262 262 (:TYPE-PRESCRIPTION STRIP-CARS))
 (236 24 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (232 116 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (232 8 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (224 24 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (214 22 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (177 159 (:REWRITE DEFAULT-CAR))
 (170 158 (:REWRITE DEFAULT-CDR))
 (168 16 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (163 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (160 32 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (147 87 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (134 134 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (134 5 (:DEFINITION NATP))
 (128 128 (:TYPE-PRESCRIPTION FRAME-P))
 (114 87 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (112 16 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (103 5 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (96 96 (:REWRITE SUBSETP-TRANS2))
 (96 96 (:REWRITE SUBSETP-TRANS))
 (94 94 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (91 18 (:DEFINITION ASSOC-EQUAL))
 (90 12 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (89 89 (:REWRITE SUBSETP-MEMBER . 2))
 (89 89 (:REWRITE SUBSETP-MEMBER . 1))
 (86 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (80 20 (:DEFINITION STRIP-CARS))
 (80 8 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (80 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (72 72 (:TYPE-PRESCRIPTION M1-FILE-P))
 (68 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (64 64 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (64 64 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (64 64 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (59 5 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (48 10 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (46 46 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (46 46 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (42 42 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (40 40 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (40 40 (:REWRITE CONSP-OF-STRIP-CARS))
 (40 8 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (39 3 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (34 16 (:REWRITE MEMBER-WHEN-ATOM))
 (32 32 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (32 32 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (28 8 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (28 8 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (28 8 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (26 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (26 1 (:REWRITE SUBSETP-OF-REMOVE1))
 (25 25 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (24 8 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (20 20 (:TYPE-PRESCRIPTION NAT-LISTP))
 (18 18 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (17 17 (:REWRITE SUBSETP-MEMBER . 4))
 (17 17 (:REWRITE SUBSETP-MEMBER . 3))
 (17 17 (:REWRITE INTERSECTP-MEMBER . 3))
 (17 17 (:REWRITE INTERSECTP-MEMBER . 2))
 (17 5 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (16 10 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12 2 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (11 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (10 10 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (10 10 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (10 10 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (8 8 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 1 (:REWRITE SUBSETP-OF-REMOVE2))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 (5 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (5 5 (:REWRITE DEFAULT-<-2))
 (5 5 (:REWRITE DEFAULT-<-1))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-18
 (2319 9 (:REWRITE REMOVE-WHEN-ABSENT))
 (2018 22 (:DEFINITION MEMBER-EQUAL))
 (1891 167 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1789 21 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (1263 5 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1226 29 (:REWRITE SUBSETP-MEMBER . 3))
 (1177 3 (:REWRITE SUBSETP-OF-REMOVE1))
 (1135 5 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1062 3 (:DEFINITION REMOVE-EQUAL))
 (877 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (803 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (659 34 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (642 27 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (528 29 (:REWRITE SUBSETP-MEMBER . 4))
 (416 13 (:REWRITE SUBSETP-CAR-MEMBER))
 (334 11 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (331 34 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (272 147 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (266 11 (:DEFINITION NATP))
 (245 21 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (233 150 (:REWRITE SUBSETP-TRANS))
 (230 147 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (221 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (212 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (209 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (208 22 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (205 11 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (186 150 (:REWRITE SUBSETP-TRANS2))
 (170 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (160 29 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (129 75 (:REWRITE CONSP-OF-STRIP-CARS))
 (126 93 (:REWRITE DEFAULT-CAR))
 (123 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (122 26 (:DEFINITION STRIP-CARS))
 (119 11 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (118 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (99 22 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (92 68 (:REWRITE DEFAULT-CDR))
 (83 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (75 27 (:REWRITE MEMBER-WHEN-ATOM))
 (74 74 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (71 6 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (70 52 (:REWRITE SUBSETP-MEMBER . 2))
 (70 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (67 23 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (65 23 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (63 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (62 52 (:REWRITE SUBSETP-MEMBER . 1))
 (62 3 (:REWRITE SUBSETP-OF-REMOVE2))
 (60 60 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (58 5 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (56 56 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (56 14 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (56 14 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (56 14 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (48 4 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (45 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (44 29 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (40 40 (:TYPE-PRESCRIPTION NAMES-AT))
 (34 22 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (32 11 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (30 10 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (29 29 (:REWRITE INTERSECTP-MEMBER . 3))
 (29 29 (:REWRITE INTERSECTP-MEMBER . 2))
 (27 9 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (26 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (23 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (23 11 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (23 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (22 22 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (22 22 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (22 22 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (22 22 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (22 22 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (22 22 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (22 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (20 20 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (20 2 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (19 2 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (19 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (17 17 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (15 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (14 14 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (14 14 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (14 14 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (14 14 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (11 11 (:TYPE-PRESCRIPTION NATP))
 (11 11 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (11 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (11 11 (:REWRITE DEFAULT-<-2))
 (11 11 (:REWRITE DEFAULT-<-1))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (9 9 (:TYPE-PRESCRIPTION ZP))
 (9 9 (:TYPE-PRESCRIPTION LEN))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (7 7 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (7 7 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (4 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (4 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (3 3 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (3 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:REWRITE SUBSETP-OF-REMOVE))
 (1 1 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (1 1 (:DEFINITION NULL))
 )
(LEMMA
 (4761 12 (:DEFINITION ABS-FIND-FILE-HELPER))
 (3470 15 (:REWRITE REMOVE-WHEN-ABSENT))
 (2545 187 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1907 38 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1831 31 (:DEFINITION MEMBER-EQUAL))
 (1795 5 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1710 5 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1676 38 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1504 72 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1400 25 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1394 38 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1390 25 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1355 5 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1245 5 (:DEFINITION REMOVE-EQUAL))
 (962 51 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (888 12 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (855 39 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (822 274 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (805 14 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (768 12 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (764 14 (:REWRITE LEN-WHEN-PREFIXP))
 (713 13 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (691 88 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (650 38 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (610 88 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (597 597 (:TYPE-PRESCRIPTION STRIP-CARS))
 (597 7 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (587 13 (:REWRITE SUBSETP-CAR-MEMBER))
 (580 352 (:REWRITE DEFAULT-CDR))
 (516 38 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (512 115 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (507 3 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (501 13 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (499 69 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (496 38 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (451 38 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (444 12 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (379 15 (:DEFINITION NATP))
 (376 313 (:REWRITE DEFAULT-CAR))
 (371 69 (:DEFINITION LEN))
 (370 62 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (366 91 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (361 26 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (330 62 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (326 44 (:DEFINITION ASSOC-EQUAL))
 (310 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (301 187 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (295 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (290 90 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (290 90 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (285 13 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (252 26 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (250 250 (:TYPE-PRESCRIPTION ABS-FS-P))
 (250 68 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (240 15 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (225 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (220 50 (:DEFINITION STRIP-CARS))
 (218 29 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (195 14 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (182 182 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (178 178 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (176 176 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (159 13 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (154 154 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (154 26 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (153 12 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (149 91 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (148 148 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (144 144 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (143 86 (:REWRITE CONSP-OF-STRIP-CARS))
 (139 70 (:REWRITE DEFAULT-+-2))
 (139 15 (:DEFINITION ABS-ASSOC-DEFINITION))
 (137 26 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (136 136 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (132 132 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (131 13 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (128 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (126 3 (:REWRITE SUBSETP-OF-REMOVE2))
 (122 3 (:REWRITE ZP-OPEN))
 (120 2 (:REWRITE NFIX-WHEN-ZP))
 (115 115 (:TYPE-PRESCRIPTION M1-FILE-P))
 (114 38 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (114 6 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (102 21 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (100 100 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (100 100 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (95 40 (:REWRITE MEMBER-WHEN-ATOM))
 (91 91 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (90 20 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (90 20 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (90 20 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (89 3 (:REWRITE SUBSETP-OF-REMOVE1))
 (76 31 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (76 31 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (70 70 (:REWRITE DEFAULT-+-1))
 (70 70 (:LINEAR LEN-WHEN-PREFIXP))
 (66 33 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (65 65 (:REWRITE SUBSETP-MEMBER . 2))
 (65 65 (:REWRITE SUBSETP-MEMBER . 1))
 (65 5 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (62 62 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (60 12 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (60 10 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (60 5 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (57 37 (:REWRITE DEFAULT-<-2))
 (52 52 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (52 52 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (51 37 (:REWRITE DEFAULT-<-1))
 (49 13 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (47 26 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (43 43 (:REWRITE SUBSETP-MEMBER . 4))
 (43 43 (:REWRITE SUBSETP-MEMBER . 3))
 (43 43 (:REWRITE INTERSECTP-MEMBER . 3))
 (43 43 (:REWRITE INTERSECTP-MEMBER . 2))
 (38 38 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (36 36 (:REWRITE SUBSETP-TRANS2))
 (36 36 (:REWRITE SUBSETP-TRANS))
 (36 12 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (34 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (33 33 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (33 33 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (30 30 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (30 15 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (29 29 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (27 27 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (26 26 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (26 26 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (26 26 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (26 26 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (26 26 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (25 25 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (25 25 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (24 24 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (23 23 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (22 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (22 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (21 21 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (20 20 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (20 20 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 10 (:REWRITE SET-EQUIV-ASYM))
 (18 18 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (17 17 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (16 16 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (15 15 (:TYPE-PRESCRIPTION SET-EQUIV))
 (15 15 (:TYPE-PRESCRIPTION NATP))
 (14 7 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (13 13 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (13 13 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (13 13 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (13 13 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (13 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (11 11 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 10 (:REWRITE SUBSETP-OF-CDR))
 (10 10 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (10 2 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 6 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (7 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (6 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (5 5 (:REWRITE SUBSETP-REFL))
 (5 5 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3 2 (:REWRITE NFIX-WHEN-NATP))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NTH-WHEN-PREFIXP))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE CONSP-OF-LIST-FIX))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-33
 (197524 39 (:DEFINITION ABS-FIND-FILE-HELPER))
 (187303 1837 (:REWRITE LEN-WHEN-PREFIXP))
 (128536 2815 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (109293 1157 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (108274 45 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (104545 1166 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (90602 1821 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (69469 1178 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (62041 12225 (:REWRITE DEFAULT-CDR))
 (60623 8980 (:DEFINITION LEN))
 (54471 1157 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (50854 60 (:REWRITE CONSP-OF-NTHCDR))
 (44933 8379 (:LINEAR LEN-WHEN-PREFIXP))
 (37292 78 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (28344 50 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (25918 2734 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (23696 1157 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (22938 1157 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (19745 22 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (17650 8370 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (17548 9033 (:REWRITE DEFAULT-+-2))
 (16740 16740 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (13342 416 (:REWRITE ZP-OPEN))
 (12555 4185 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12555 4185 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12274 3006 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (10139 649 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (9033 9033 (:REWRITE DEFAULT-+-1))
 (8208 4104 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8151 181 (:REWRITE NFIX-WHEN-ZP))
 (8106 2702 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7521 2507 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (6590 359 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5764 2702 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (5151 117 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5140 1162 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4900 4900 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (4629 117 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4604 326 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4518 206 (:DEFINITION ASSOC-EQUAL))
 (4491 78 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (4376 2465 (:REWRITE DEFAULT-<-2))
 (4214 2734 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (4040 25 (:DEFINITION NTH))
 (3796 2734 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3753 2465 (:REWRITE DEFAULT-<-1))
 (3615 78 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (3094 3048 (:REWRITE DEFAULT-CAR))
 (2944 128 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (2817 360 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2694 105 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2387 14 (:DEFINITION NTHCDR))
 (2368 64 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2297 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-15))
 (2274 39 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (2136 89 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (2102 2102 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2080 136 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1984 1489 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1884 39 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1833 151 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1791 1134 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1791 1134 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1689 957 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1687 348 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1589 17 (:DEFINITION MEMBER-EQUAL))
 (1573 24 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1491 957 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1436 718 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (1428 408 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1416 1157 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1326 23 (:DEFINITION NATP))
 (1325 360 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1311 208 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1271 28 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1174 1174 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1162 1162 (:REWRITE SUBSETP-TRANS2))
 (1162 1162 (:REWRITE SUBSETP-TRANS))
 (1121 194 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1120 64 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1066 174 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1059 117 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1028 194 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1026 171 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (995 52 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-9))
 (981 981 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (900 182 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (875 16 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (864 64 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (843 117 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (831 39 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (816 408 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (786 78 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (736 736 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (674 359 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (640 104 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (585 52 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17))
 (583 171 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (583 171 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (544 104 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (530 16 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (509 509 (:REWRITE CONSP-OF-LIST-FIX))
 (495 15 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (463 463 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (456 24 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (446 446 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (440 440 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (416 416 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (414 78 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (408 408 (:TYPE-PRESCRIPTION STRING-LISTP))
 (408 408 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (408 408 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (408 204 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (405 39 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (404 404 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (382 217 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (379 217 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (378 39 (:DEFINITION ABS-ASSOC-DEFINITION))
 (360 360 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (359 30 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (356 356 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (351 351 (:TYPE-PRESCRIPTION M1-FILE-P))
 (345 15 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (323 181 (:REWRITE NFIX-WHEN-NATP))
 (297 297 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (288 288 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (288 174 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (280 166 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (272 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (257 52 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (256 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (228 81 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (225 225 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (223 223 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (220 151 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (206 206 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (206 206 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (204 204 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (204 204 (:REWRITE SET::IN-SET))
 (195 195 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (195 39 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (195 39 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (194 194 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (192 64 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (184 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (174 174 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (174 174 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (166 166 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (162 36 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (160 160 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (156 156 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (156 156 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (156 78 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (150 30 (:LINEAR NTH-WHEN-D-E-P))
 (128 128 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (128 128 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (128 128 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (117 117 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (117 117 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (117 39 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (109 24 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (108 6 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (104 104 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (99 25 (:REWRITE NTH-WHEN-PREFIXP))
 (90 90 (:TYPE-PRESCRIPTION D-E-P))
 (90 90 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (90 15 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (81 81 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (75 15 (:REWRITE NTH-WHEN-D-E-P . 2))
 (70 15 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (66 66 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (66 22 (:REWRITE MEMBER-WHEN-ATOM))
 (64 64 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (58 58 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (54 54 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (44 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (42 14 (:REWRITE COMMUTATIVITY-OF-+))
 (39 39 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (36 36 (:REWRITE SUBSETP-MEMBER . 2))
 (28 28 (:REWRITE SUBSETP-REFL))
 (24 24 (:REWRITE SUBSETP-MEMBER . 4))
 (24 24 (:REWRITE SUBSETP-MEMBER . 3))
 (24 24 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (23 23 (:TYPE-PRESCRIPTION NATP))
 (21 21 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (15 15 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-11
 (9873 86 (:REWRITE LEN-WHEN-PREFIXP))
 (9431 7 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (9100 2 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (8303 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (8232 67 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (6989 72 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6268 144 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (4794 706 (:DEFINITION LEN))
 (3780 548 (:LINEAR LEN-WHEN-PREFIXP))
 (3092 86 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2963 67 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2572 58 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2570 34 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1559 45 (:REWRITE ZP-OPEN))
 (1528 544 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1424 718 (:REWRITE DEFAULT-+-2))
 (1180 6 (:DEFINITION NTHCDR))
 (1080 1080 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (911 28 (:DEFINITION ASSOC-EQUAL))
 (906 886 (:REWRITE DEFAULT-CDR))
 (826 14 (:REWRITE NFIX-WHEN-ZP))
 (810 270 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (810 270 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (790 68 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (775 29 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (718 718 (:REWRITE DEFAULT-+-1))
 (548 274 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (522 29 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (458 4 (:REWRITE CONSP-OF-NTHCDR))
 (438 16 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (377 29 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (360 360 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (311 311 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (278 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (277 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (262 18 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (260 136 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (251 9 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (247 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (212 140 (:REWRITE DEFAULT-<-2))
 (210 208 (:REWRITE DEFAULT-CAR))
 (210 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (198 198 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (194 1 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 (192 140 (:REWRITE DEFAULT-<-1))
 (184 136 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (174 29 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (160 16 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (136 136 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (124 34 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (106 106 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (105 35 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (104 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (89 53 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (82 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (80 40 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (76 76 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (76 16 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (72 72 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (70 34 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (70 34 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (66 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (64 34 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (62 35 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (54 54 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (54 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (40 40 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (36 36 (:TYPE-PRESCRIPTION STRING-LISTP))
 (36 36 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (36 36 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (36 18 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (34 34 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (34 2 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (32 8 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (29 29 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (29 29 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (29 29 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (29 29 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (29 29 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (29 29 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (28 1 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (24 8 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (22 14 (:REWRITE NFIX-WHEN-NATP))
 (18 18 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (18 18 (:REWRITE SET::IN-SET))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (16 16 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (16 2 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (12 12 (:REWRITE CONSP-OF-LIST-FIX))
 (10 10 (:TYPE-PRESCRIPTION NFIX))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (6 6 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (6 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (5 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-23))
 (4 4 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (4 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (2 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (1 1 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1 1 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-34
 (875 3 (:REWRITE REMOVE-WHEN-ABSENT))
 (498 6 (:DEFINITION MEMBER-EQUAL))
 (482 7 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (442 1 (:DEFINITION REMOVE-EQUAL))
 (298 55 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (291 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (274 1 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (256 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (225 11 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (197 10 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (137 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (129 129 (:TYPE-PRESCRIPTION STRIP-CARS))
 (108 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (108 2 (:DEFINITION NTHCDR))
 (107 4 (:DEFINITION NATP))
 (98 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (76 46 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (76 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (70 1 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (66 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (64 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (64 2 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (61 46 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (48 48 (:REWRITE SUBSETP-TRANS2))
 (48 48 (:REWRITE SUBSETP-TRANS))
 (48 1 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (47 2 (:REWRITE CONSP-OF-NTHCDR))
 (46 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (45 9 (:DEFINITION LEN))
 (40 34 (:REWRITE DEFAULT-CDR))
 (40 10 (:DEFINITION STRIP-CARS))
 (39 30 (:REWRITE DEFAULT-CAR))
 (39 1 (:DEFINITION NTH))
 (38 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (37 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (36 7 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (35 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (33 9 (:REWRITE NFIX-WHEN-ZP))
 (33 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (31 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (28 19 (:REWRITE DEFAULT-<-2))
 (28 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (26 1 (:REWRITE SUBSETP-OF-REMOVE1))
 (24 19 (:REWRITE DEFAULT-<-1))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (23 14 (:REWRITE DEFAULT-+-2))
 (23 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (22 13 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (22 7 (:REWRITE ZP-OPEN))
 (22 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (22 2 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (21 21 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (20 20 (:REWRITE CONSP-OF-STRIP-CARS))
 (20 4 (:LINEAR NTH-WHEN-D-E-P))
 (17 8 (:REWRITE MEMBER-WHEN-ATOM))
 (17 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (15 1 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (14 14 (:TYPE-PRESCRIPTION NAT-LISTP))
 (14 14 (:REWRITE DEFAULT-+-1))
 (14 4 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (14 4 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (14 4 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (14 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (13 9 (:REWRITE NFIX-WHEN-NATP))
 (13 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE SUBSETP-MEMBER . 1))
 (12 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (11 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (10 10 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (10 10 (:TYPE-PRESCRIPTION D-E-P))
 (10 10 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (10 7 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE SUBSETP-OF-REMOVE2))
 (8 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (7 7 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (7 7 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 2 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 2))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 1 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (5 5 (:TYPE-PRESCRIPTION ZP))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5 5 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (5 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE NTH-WHEN-D-E-P . 2))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (1 1 (:REWRITE NTH-WHEN-PREFIXP))
 (1 1 (:REWRITE MEMBER-OF-STRIP-CARS))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 )
(ABS-FIND-FILE-CORRECTNESS-1-LEMMA-26
 (2319 9 (:REWRITE REMOVE-WHEN-ABSENT))
 (2009 21 (:DEFINITION MEMBER-EQUAL))
 (1896 167 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1789 21 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (1226 29 (:REWRITE SUBSETP-MEMBER . 3))
 (1209 5 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1177 3 (:REWRITE SUBSETP-OF-REMOVE1))
 (1135 5 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1062 3 (:DEFINITION REMOVE-EQUAL))
 (877 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (803 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (735 34 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (626 26 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (528 29 (:REWRITE SUBSETP-MEMBER . 4))
 (398 15 (:DEFINITION NATP))
 (374 36 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (371 6 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (290 7 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (277 147 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (263 6 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (245 21 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (235 147 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (233 150 (:REWRITE SUBSETP-TRANS))
 (221 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (212 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (209 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (208 22 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (206 6 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (186 150 (:REWRITE SUBSETP-TRANS2))
 (171 7 (:REWRITE SUBSETP-CAR-MEMBER))
 (170 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (161 7 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (160 29 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (142 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (135 77 (:REWRITE CONSP-OF-STRIP-CARS))
 (135 11 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (134 2 (:DEFINITION NTHCDR))
 (128 27 (:DEFINITION STRIP-CARS))
 (127 94 (:REWRITE DEFAULT-CAR))
 (123 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (118 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (117 3 (:DEFINITION NTH))
 (115 91 (:REWRITE DEFAULT-CDR))
 (115 22 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (114 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (94 4 (:REWRITE CONSP-OF-NTHCDR))
 (90 18 (:DEFINITION LEN))
 (83 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (75 27 (:REWRITE MEMBER-WHEN-ATOM))
 (71 6 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (70 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (68 50 (:REWRITE SUBSETP-MEMBER . 2))
 (67 23 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (66 66 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (66 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (65 23 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (65 18 (:REWRITE NFIX-WHEN-ZP))
 (65 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (64 64 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (63 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (62 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (62 3 (:REWRITE SUBSETP-OF-REMOVE2))
 (61 43 (:REWRITE DEFAULT-<-2))
 (60 50 (:REWRITE SUBSETP-MEMBER . 1))
 (60 4 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (58 5 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (56 56 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (56 14 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (56 14 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (56 14 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (54 43 (:REWRITE DEFAULT-<-1))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (48 4 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (44 29 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (44 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (44 4 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (43 25 (:REWRITE DEFAULT-+-2))
 (40 40 (:TYPE-PRESCRIPTION NAMES-AT))
 (40 8 (:LINEAR NTH-WHEN-D-E-P))
 (39 14 (:REWRITE ZP-OPEN))
 (34 22 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (34 18 (:REWRITE NFIX-WHEN-NATP))
 (32 32 (:LINEAR LEN-WHEN-PREFIXP))
 (32 32 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (32 11 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (30 30 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (30 10 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (29 29 (:REWRITE INTERSECTP-MEMBER . 3))
 (29 29 (:REWRITE INTERSECTP-MEMBER . 2))
 (27 15 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (27 9 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (26 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (25 25 (:REWRITE DEFAULT-+-1))
 (24 24 (:TYPE-PRESCRIPTION D-E-P))
 (24 24 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (23 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (23 11 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (22 22 (:TYPE-PRESCRIPTION ZP))
 (22 22 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (22 22 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (22 22 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (22 22 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (20 4 (:REWRITE NTH-WHEN-D-E-P . 2))
 (20 2 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (19 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (17 17 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 16 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (15 15 (:TYPE-PRESCRIPTION NATP))
 (15 15 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (15 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (14 14 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (14 14 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 4 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 2))
 (11 11 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (11 11 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (7 7 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (7 7 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (3 3 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (3 3 (:REWRITE NTH-WHEN-PREFIXP))
 (3 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:REWRITE SUBSETP-OF-REMOVE))
 (1 1 (:DEFINITION NULL))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-36
 (14212 190 (:REWRITE LEN-WHEN-PREFIXP))
 (13237 179 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (11354 72 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (9900 3300 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7566 755 (:REWRITE DEFAULT-CDR))
 (5395 345 (:DEFINITION LEN))
 (5360 72 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (5273 26 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (4014 8 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3602 39 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3515 30 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2420 179 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2300 190 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2209 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (2192 25 (:DEFINITION NTHCDR))
 (1899 71 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1881 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-ABS-ENOTDIR-WITNESS))
 (1788 1788 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1657 127 (:REWRITE NFIX-WHEN-ZP))
 (1638 142 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1607 85 (:REWRITE ZP-OPEN))
 (1508 72 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1341 447 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1341 447 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1276 50 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1071 10 (:REWRITE LEN-OF-NTHCDR))
 (1058 894 (:LINEAR LEN-WHEN-PREFIXP))
 (980 245 (:TYPE-PRESCRIPTION ABS-ENOTDIR-WITNESS))
 (947 49 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (894 894 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (866 5 (:LINEAR LEN-OF-ABS-ENOTDIR-WITNESS))
 (822 6 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (807 143 (:DEFINITION ASSOC-EQUAL))
 (786 49 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (763 408 (:REWRITE DEFAULT-+-2))
 (723 392 (:REWRITE DEFAULT-<-2))
 (584 392 (:REWRITE DEFAULT-<-1))
 (580 499 (:REWRITE DEFAULT-CAR))
 (555 72 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (509 63 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (491 9 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (469 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (453 49 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (418 408 (:REWRITE DEFAULT-+-1))
 (379 23 (:REWRITE CONSP-OF-LIST-FIX))
 (278 32 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (258 17 (:DEFINITION NATP))
 (229 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (222 3 (:DEFINITION NTH))
 (210 9 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (179 179 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (179 179 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (177 8 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (160 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (153 9 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (122 122 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (100 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (94 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (80 16 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (75 25 (:REWRITE COMMUTATIVITY-OF-+))
 (72 72 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (72 72 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (72 72 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (72 72 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (68 32 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (60 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (49 49 (:REWRITE SUBSETP-TRANS2))
 (49 49 (:REWRITE SUBSETP-TRANS))
 (40 8 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (36 36 (:TYPE-PRESCRIPTION STRING-LISTP))
 (36 36 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (36 18 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (32 32 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (28 28 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (28 28 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (28 8 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (27 7 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (25 25 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 18 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (18 18 (:REWRITE SET::IN-SET))
 (17 17 (:TYPE-PRESCRIPTION NATP))
 (16 16 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (16 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (15 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (9 9 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (3 3 (:REWRITE NTH-WHEN-PREFIXP))
 (1 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-21
 (4179 1393 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3469 72 (:REWRITE LEN-WHEN-PREFIXP))
 (1916 23 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1877 375 (:REWRITE DEFAULT-CDR))
 (1567 20 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1449 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1360 88 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1277 7 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1181 40 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1101 72 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1074 10 (:DEFINITION NTHCDR))
 (1022 155 (:DEFINITION LEN))
 (676 676 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (540 43 (:REWRITE NFIX-WHEN-ZP))
 (532 31 (:REWRITE ZP-OPEN))
 (507 169 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (507 169 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (379 65 (:DEFINITION ASSOC-EQUAL))
 (338 338 (:LINEAR LEN-WHEN-PREFIXP))
 (338 338 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (332 176 (:REWRITE DEFAULT-+-2))
 (275 275 (:REWRITE DEFAULT-CAR))
 (271 148 (:REWRITE DEFAULT-<-2))
 (220 148 (:REWRITE DEFAULT-<-1))
 (212 212 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (195 7 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (177 176 (:REWRITE DEFAULT-+-1))
 (151 13 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (146 1 (:LINEAR LEN-OF-ABS-ENOTDIR-WITNESS))
 (130 7 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (128 86 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (122 1 (:REWRITE LEN-OF-NTHCDR))
 (117 3 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (90 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (86 86 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (86 86 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (69 21 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (43 13 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (40 40 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (38 5 (:DEFINITION NATP))
 (37 13 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (36 20 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (33 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (32 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (30 10 (:REWRITE COMMUTATIVITY-OF-+))
 (27 7 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (26 26 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (24 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (23 23 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (23 23 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (23 23 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (23 23 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (22 6 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (21 7 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (20 20 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (15 15 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (13 13 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (11 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10 10 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (8 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-P))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (6 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 (5 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-29
 (1032044 12316 (:REWRITE LEN-WHEN-PREFIXP))
 (805021 45492 (:DEFINITION LEN))
 (657437 6688 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (563182 61830 (:REWRITE DEFAULT-CDR))
 (478527 1206 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (342937 12316 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (194052 129 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (181102 2674 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (169196 802 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (144548 144548 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (134510 274 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (121638 5197 (:REWRITE NFIX-WHEN-ZP))
 (112527 381 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (108411 36137 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (108411 36137 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (107709 14569 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (106241 551 (:DEFINITION NTHCDR))
 (98049 14474 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (95686 1102 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (93228 47295 (:REWRITE DEFAULT-+-2))
 (78538 6688 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (76877 6670 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (75651 11597 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (55827 174 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (47732 47295 (:REWRITE DEFAULT-+-1))
 (43827 51 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (43666 6670 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (37161 1172 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (34102 7316 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (33741 19285 (:REWRITE DEFAULT-<-2))
 (29158 5348 (:DEFINITION ASSOC-EQUAL))
 (29058 19285 (:REWRITE DEFAULT-<-1))
 (26043 8681 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (22362 42 (:REWRITE TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20574 19746 (:REWRITE DEFAULT-CAR))
 (20400 7316 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15929 146 (:REWRITE TAKE-OF-LEN-FREE))
 (9738 2689 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8659 8659 (:REWRITE SUBSETP-TRANS2))
 (8659 8659 (:REWRITE SUBSETP-TRANS))
 (7498 367 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (6539 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-36))
 (2778 2778 (:REWRITE SUBSETP-OF-CDR))
 (2698 548 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (2642 266 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2442 45 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (2243 45 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (1764 1764 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1696 266 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1376 45 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1370 274 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1335 1335 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1335 1335 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1335 1335 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1147 45 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (860 430 (:REWRITE DEFAULT-UNARY-MINUS))
 (725 58 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (548 548 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (444 6 (:REWRITE CONSP-OF-TAKE))
 (438 2 (:REWRITE REPEAT-WHEN-ZP))
 (435 29 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (434 434 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (300 3 (:DEFINITION MEMBER-EQUAL))
 (285 285 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (230 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (216 5 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (203 58 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (199 199 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (192 48 (:TYPE-PRESCRIPTION ABS-ENOTDIR-WITNESS))
 (184 184 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (183 43 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (174 58 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (136 5 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (122 6 (:REWRITE SUBSETP-MEMBER . 1))
 (116 116 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (116 29 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (114 114 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (108 6 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (87 29 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (80 80 (:REWRITE SUBSETP-OF-NTHCDR))
 (78 2 (:DEFINITION BINARY-APPEND))
 (76 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (75 5 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (73 1 (:REWRITE MEMBER-EQUAL-NTH))
 (73 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (60 12 (:LINEAR NTH-WHEN-D-E-P))
 (58 58 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (58 58 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (58 29 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (57 57 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (55 5 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (46 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (34 34 (:TYPE-PRESCRIPTION D-E-P))
 (34 34 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (33 33 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (29 29 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (25 5 (:REWRITE NTH-WHEN-D-E-P . 2))
 (20 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (20 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (12 4 (:REWRITE MEMBER-WHEN-ATOM))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (9 9 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 1))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (5 5 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-28
 (602871 7082 (:REWRITE LEN-WHEN-PREFIXP))
 (586463 33 (:DEFINITION ABS-FIND-FILE-HELPER))
 (581970 6033 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (505566 136 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (474396 45 (:REWRITE ABS-ENOTDIR-WITNESS-CORRECTNESS-2))
 (459419 12747 (:DEFINITION LEN))
 (323607 3318 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (232362 12 (:LINEAR LEN-OF-ABS-ENOTDIR-WITNESS))
 (202243 7040 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (164956 5872 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (159474 66 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (86743 5802 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (83283 38 (:REWRITE CAR-OF-NTHCDR))
 (82526 5004 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (74540 11975 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (65040 65040 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (61295 22406 (:REWRITE DEFAULT-CDR))
 (48780 16260 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (48780 16260 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (41294 3238 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (38573 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-36))
 (30237 178 (:REWRITE CONSP-OF-NTHCDR))
 (29574 7338 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (27468 2226 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (25126 12893 (:REWRITE DEFAULT-+-2))
 (19889 8934 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (19788 573 (:REWRITE NFIX-WHEN-ZP))
 (19070 378 (:REWRITE ZP-OPEN))
 (17349 17349 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (13777 8937 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (12921 12893 (:REWRITE DEFAULT-+-1))
 (12796 7569 (:REWRITE DEFAULT-<-2))
 (12398 7569 (:REWRITE DEFAULT-<-1))
 (11642 44 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (11430 78 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (10635 3545 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (10113 6963 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (10113 6963 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (10013 39 (:DEFINITION NTHCDR))
 (9303 9301 (:REWRITE DEFAULT-CAR))
 (8710 5004 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (7776 7776 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (7338 7338 (:REWRITE SUBSETP-TRANS2))
 (7338 7338 (:REWRITE SUBSETP-TRANS))
 (7097 5800 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6422 1179 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (5609 40 (:DEFINITION NTH))
 (5133 875 (:DEFINITION ASSOC-EQUAL))
 (4763 34 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3558 99 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3313 3313 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (3298 66 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3280 3280 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (3273 159 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3264 1632 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3249 1179 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (3240 28 (:REWRITE LEN-OF-NTHCDR))
 (3114 1557 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (2946 836 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2490 66 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2447 804 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (2307 2307 (:REWRITE CONSP-OF-LIST-FIX))
 (2229 95 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2079 990 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2013 99 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1977 33 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1845 31 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (1806 99 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1731 990 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1725 1725 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1680 836 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (1647 33 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1548 29 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (1443 66 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1179 1179 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1106 188 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1071 437 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1017 99 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (990 300 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (989 188 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (844 844 (:TYPE-PRESCRIPTION STRING-LISTP))
 (844 844 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (844 422 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (836 836 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (786 66 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (756 33 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (744 36 (:DEFINITION NATP))
 (587 122 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (583 35 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (549 126 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (456 33 (:DEFINITION ABS-ASSOC-DEFINITION))
 (438 159 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (422 422 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (422 422 (:REWRITE SET::IN-SET))
 (401 67 (:REWRITE NTH-WHEN-PREFIXP))
 (376 376 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (375 375 (:REWRITE SUBSETP-REFL))
 (297 297 (:TYPE-PRESCRIPTION M1-FILE-P))
 (258 258 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (252 252 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (250 250 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (236 236 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (225 225 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (199 199 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (188 188 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (165 165 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (165 33 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (165 33 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (165 33 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (165 33 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (161 161 (:TYPE-PRESCRIPTION ABS-FS-P))
 (158 33 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (156 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (155 155 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (155 155 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (155 155 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (138 138 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (134 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (132 132 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (132 132 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (132 66 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (132 66 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (118 118 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (117 39 (:REWRITE COMMUTATIVITY-OF-+))
 (114 3 (:DEFINITION MEMBER-EQUAL))
 (99 99 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (99 99 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (99 33 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (77 27 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (66 66 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (66 66 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (66 66 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (62 62 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (60 60 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (56 28 (:REWRITE DEFAULT-UNARY-MINUS))
 (39 39 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (38 38 (:TYPE-PRESCRIPTION NATP))
 (33 33 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (33 33 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (22 6 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (18 6 (:REWRITE MEMBER-WHEN-ATOM))
 (15 15 (:TYPE-PRESCRIPTION NAMES-AT))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-16
 (463282 41 (:DEFINITION ABS-FIND-FILE-HELPER))
 (433385 4291 (:REWRITE LEN-WHEN-PREFIXP))
 (407998 4633 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (358536 4764 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (246337 35664 (:DEFINITION LEN))
 (237763 4291 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (232604 123 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (199951 3625 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (192006 40731 (:REWRITE DEFAULT-CDR))
 (187979 34 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (159346 165 (:REWRITE CONSP-OF-NTHCDR))
 (82472 1760 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (70627 35909 (:REWRITE DEFAULT-+-2))
 (70590 106 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (56377 4633 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (53304 53304 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (39978 13326 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (39978 13326 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (37716 643 (:REWRITE NFIX-WHEN-ZP))
 (35964 35909 (:REWRITE DEFAULT-+-1))
 (29755 4657 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (26652 26652 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (21237 67 (:DEFINITION NTHCDR))
 (18748 9374 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (13035 4345 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (12328 53 (:DEFINITION NTH))
 (10646 134 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (10301 10301 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (8368 4607 (:REWRITE DEFAULT-<-2))
 (7657 7657 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (7482 4607 (:REWRITE DEFAULT-<-1))
 (5270 3665 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (5177 3665 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (5144 5143 (:REWRITE DEFAULT-CAR))
 (5029 3520 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4047 202 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4017 92 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3520 3520 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (3520 3520 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3487 123 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3178 511 (:DEFINITION ASSOC-EQUAL))
 (2777 136 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2750 34 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (2501 123 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2410 41 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (2389 82 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2028 1014 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (2000 41 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1825 1072 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1760 1760 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1679 1072 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1546 13 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-2))
 (1446 243 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1282 269 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1177 36 (:DEFINITION MEMBER-EQUAL))
 (1123 123 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1089 1089 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (933 123 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (893 41 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (836 82 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (740 740 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (722 54 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (711 161 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (691 161 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (583 53 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (562 202 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (537 537 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (507 507 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (486 486 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (481 169 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (450 82 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (410 41 (:DEFINITION ABS-ASSOC-DEFINITION))
 (400 352 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (369 369 (:TYPE-PRESCRIPTION M1-FILE-P))
 (358 46 (:REWRITE MEMBER-WHEN-ATOM))
 (330 13 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (322 322 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (318 53 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (282 282 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (276 276 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (270 270 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (260 13 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (252 42 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (236 35 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (221 41 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (207 70 (:REWRITE NTH-WHEN-PREFIXP))
 (205 205 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (205 41 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (205 41 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (205 41 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (196 82 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (196 72 (:REWRITE SUBSETP-MEMBER . 1))
 (190 105 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (187 42 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (169 169 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (164 164 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (164 164 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (164 164 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (164 82 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (138 138 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (131 41 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (126 42 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (123 41 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (122 122 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (122 122 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (122 122 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (110 110 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (110 110 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (105 105 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (100 5 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (99 35 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (99 35 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (84 84 (:TYPE-PRESCRIPTION STRING-LISTP))
 (84 84 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (84 42 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (82 82 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (82 82 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (82 82 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (81 81 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (76 26 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (74 74 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (72 72 (:REWRITE SUBSETP-MEMBER . 2))
 (72 20 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (64 3 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (52 52 (:REWRITE SUBSETP-MEMBER . 4))
 (52 52 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (42 42 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (42 42 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (42 42 (:REWRITE SET::IN-SET))
 (41 41 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (36 18 (:REWRITE DEFAULT-UNARY-MINUS))
 (35 35 (:REWRITE SUBSETP-TRANS2))
 (35 35 (:REWRITE SUBSETP-TRANS))
 (26 13 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (23 23 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION DIST-NAMES))
 (12 3 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (9 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (9 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (8 8 (:REWRITE FOLD-CONSTS-IN-+))
 (7 7 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-20
 (16188 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (15081 137 (:REWRITE LEN-WHEN-PREFIXP))
 (12889 233 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (10897 86 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (10043 103 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (8106 1172 (:DEFINITION LEN))
 (7170 133 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5171 88 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (5156 927 (:LINEAR LEN-WHEN-PREFIXP))
 (4212 1404 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4041 921 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3988 1467 (:REWRITE DEFAULT-CDR))
 (3936 222 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3327 89 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2364 4 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2358 1186 (:REWRITE DEFAULT-+-2))
 (2165 7 (:DEFINITION NTHCDR))
 (1888 86 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1840 1840 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1380 460 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1380 460 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1346 19 (:REWRITE ZP-OPEN))
 (1336 24 (:REWRITE NFIX-WHEN-ZP))
 (1275 223 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1186 1186 (:REWRITE DEFAULT-+-1))
 (757 6 (:REWRITE CONSP-OF-NTHCDR))
 (701 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (602 301 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (552 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (458 155 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (427 29 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (345 343 (:REWRITE DEFAULT-CAR))
 (341 341 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (339 24 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (319 223 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (312 164 (:REWRITE DEFAULT-<-2))
 (311 55 (:DEFINITION ASSOC-EQUAL))
 (285 164 (:REWRITE DEFAULT-<-1))
 (271 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (251 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (154 34 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (138 70 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (132 37 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (131 70 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (126 11 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (125 125 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (124 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (108 75 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (104 21 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (99 24 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (86 86 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (86 86 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (84 42 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (81 81 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (78 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (75 37 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (75 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (73 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (53 29 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (53 29 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (53 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (48 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (38 38 (:TYPE-PRESCRIPTION STRING-LISTP))
 (38 38 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (38 24 (:REWRITE NFIX-WHEN-NATP))
 (38 19 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (37 37 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (34 34 (:REWRITE SUBSETP-TRANS2))
 (34 34 (:REWRITE SUBSETP-TRANS))
 (31 11 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (31 11 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (27 27 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (27 27 (:REWRITE CONSP-OF-LIST-FIX))
 (24 24 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (22 22 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (21 6 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (20 10 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (20 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (19 19 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (19 19 (:REWRITE SET::IN-SET))
 (18 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (17 17 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (17 17 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (14 14 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (11 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (10 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 2 (:DEFINITION NATP))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (5 5 (:REWRITE SUBSETP-REFL))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 )
(INDUCTION-SCHEME
 (9496 52 (:REWRITE LEN-WHEN-PREFIXP))
 (8056 30 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (7992 30 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (6958 32 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6297 24 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (4632 60 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4446 30 (:DEFINITION MEMBER-EQUAL))
 (4335 15 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (3933 79 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3798 75 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (3794 8 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3624 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3054 24 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (2715 133 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2704 52 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2592 60 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2526 842 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2378 100 (:DEFINITION ASSOC-EQUAL))
 (1980 292 (:DEFINITION LEN))
 (1980 60 (:REWRITE SUBSETP-CAR-MEMBER))
 (1860 270 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1800 1800 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1800 60 (:DEFINITION NATP))
 (1743 133 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1374 30 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1350 60 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1308 697 (:REWRITE DEFAULT-CDR))
 (1190 8 (:DEFINITION NTHCDR))
 (1096 8 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1075 193 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1020 120 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (916 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (888 24 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (854 326 (:LINEAR LEN-WHEN-PREFIXP))
 (848 306 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (831 30 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (741 30 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (654 564 (:REWRITE DEFAULT-CAR))
 (644 120 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (608 608 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (604 2 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (600 600 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (600 308 (:REWRITE DEFAULT-+-2))
 (504 28 (:REWRITE NFIX-WHEN-ZP))
 (479 60 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (464 120 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (464 120 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (456 152 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (456 152 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (410 316 (:REWRITE DEFAULT-<-2))
 (390 30 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (389 30 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (376 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (368 316 (:REWRITE DEFAULT-<-1))
 (321 63 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (313 133 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (308 308 (:REWRITE DEFAULT-+-1))
 (283 193 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (240 240 (:REWRITE CONSP-OF-STRIP-CARS))
 (240 60 (:DEFINITION STRIP-CARS))
 (223 133 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (210 35 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (200 200 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (193 193 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (193 193 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (172 30 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (150 150 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (150 150 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (150 60 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (150 60 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (150 60 (:REWRITE MEMBER-WHEN-ATOM))
 (144 144 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (133 133 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (124 3 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (120 120 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (120 120 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (120 60 (:REWRITE SET-EQUIV-ASYM))
 (116 72 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (116 8 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (112 72 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (109 57 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (100 100 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (93 93 (:TYPE-PRESCRIPTION ABS-FS-P))
 (90 90 (:TYPE-PRESCRIPTION SET-EQUIV))
 (90 90 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (90 90 (:REWRITE SUBSETP-TRANS2))
 (90 90 (:REWRITE SUBSETP-TRANS))
 (84 32 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (74 27 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (74 6 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (72 63 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (70 70 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (67 30 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (65 27 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (63 63 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (60 60 (:TYPE-PRESCRIPTION NATP))
 (60 60 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (60 60 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (60 60 (:REWRITE SUBSETP-OF-CDR))
 (60 60 (:REWRITE SUBSETP-MEMBER . 4))
 (60 60 (:REWRITE SUBSETP-MEMBER . 3))
 (60 60 (:REWRITE SUBSETP-MEMBER . 2))
 (60 60 (:REWRITE SUBSETP-MEMBER . 1))
 (60 60 (:REWRITE INTERSECTP-MEMBER . 3))
 (60 60 (:REWRITE INTERSECTP-MEMBER . 2))
 (60 60 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (60 60 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (42 3 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (40 28 (:REWRITE NFIX-WHEN-NATP))
 (38 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (36 20 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (34 34 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (34 30 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (30 30 (:REWRITE SUBSETP-REFL))
 (30 30 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (30 30 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (30 30 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (30 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (28 28 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (28 28 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (28 28 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (28 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (24 8 (:REWRITE COMMUTATIVITY-OF-+))
 (22 22 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (22 7 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (21 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (20 20 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (20 5 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (15 15 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (11 11 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (11 5 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9 9 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (9 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (9 3 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (9 3 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (6 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (6 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (5 5 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (5 5 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 1 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-19
 (456378 2887 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (404438 10640 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (358402 64 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (273482 29 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (243010 37312 (:DEFINITION LEN))
 (208578 64 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (205362 34 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-16))
 (194125 1326 (:DEFINITION NTHCDR))
 (183110 2722 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (174776 8642 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (171751 67723 (:REWRITE DEFAULT-CDR))
 (157183 4410 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (156663 2649 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (131212 9014 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (112511 3797 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (106796 4036 (:REWRITE NFIX-WHEN-ZP))
 (83698 49 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (79824 79824 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (77368 40007 (:REWRITE DEFAULT-+-2))
 (61707 39931 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (60352 8790 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (59868 19956 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (59868 19956 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (59595 19865 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (53155 1172 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (48334 29519 (:REWRITE DEFAULT-<-2))
 (42390 41925 (:REWRITE DEFAULT-CAR))
 (42174 194 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (40634 595 (:DEFINITION MEMBER-EQUAL))
 (40055 40007 (:REWRITE DEFAULT-+-1))
 (38680 124 (:DEFINITION REMOVE-EQUAL))
 (33993 29519 (:REWRITE DEFAULT-<-1))
 (33071 372 (:REWRITE REMOVE-WHEN-ABSENT))
 (32069 895 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (30828 75 (:REWRITE CONSP-OF-NTHCDR))
 (29334 855 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (28691 646 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (27662 147 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (26461 2064 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (24652 56 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (19832 1005 (:REWRITE SUBSETP-CAR-MEMBER))
 (15046 2883 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (14664 1309 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (13762 220 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (13046 13046 (:TYPE-PRESCRIPTION STRIP-CARS))
 (12774 3502 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (9546 8766 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (9519 680 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (9176 729 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (8790 8790 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8790 8790 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8766 8766 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (8342 8270 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8330 8294 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8204 372 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (8150 1405 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (6956 419 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (6893 6893 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (6795 2076 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6742 372 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (6472 2697 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (6319 2697 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (6188 6188 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (5839 5839 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (5528 372 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (5136 24 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (5024 2013 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4935 1309 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4580 2013 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4464 496 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (3828 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (3732 933 (:DEFINITION STRIP-CARS))
 (3720 248 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (3641 138 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3593 1894 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3374 3374 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3137 830 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3110 311 (:DEFINITION ALISTP))
 (2732 2732 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2709 129 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS))
 (2667 2667 (:REWRITE SUBSETP-TRANS2))
 (2667 2667 (:REWRITE SUBSETP-TRANS))
 (2649 354 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2617 2617 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (2488 622 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (2469 1894 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2432 2344 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2432 2344 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2363 1180 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2360 2360 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2357 2357 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2305 17 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 (2286 2286 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2282 2282 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2145 1894 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1897 136 (:REWRITE MEMBER-OF-STRIP-CARS))
 (1835 1835 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1737 855 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1580 1580 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1545 82 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1440 48 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1402 574 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (1360 544 (:REWRITE MEMBER-WHEN-ATOM))
 (1346 1346 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1320 1320 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1306 61 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1296 816 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (1277 67 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (1271 12 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (1244 1244 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (1232 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (1190 1190 (:REWRITE SUBSETP-MEMBER . 2))
 (1190 1190 (:REWRITE SUBSETP-MEMBER . 1))
 (1160 1160 (:REWRITE CONSP-OF-STRIP-CARS))
 (1143 1143 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (1129 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-6))
 (1100 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-38))
 (958 958 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (926 914 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (861 861 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (832 832 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (816 96 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (762 729 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (726 121 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (657 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (622 622 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (585 24 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (544 544 (:REWRITE SUBSETP-MEMBER . 4))
 (544 544 (:REWRITE SUBSETP-MEMBER . 3))
 (544 544 (:REWRITE INTERSECTP-MEMBER . 3))
 (544 544 (:REWRITE INTERSECTP-MEMBER . 2))
 (531 75 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (480 480 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (447 38 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (397 29 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (387 129 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
 (379 379 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (379 379 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (363 121 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (323 323 (:REWRITE SUBSETP-REFL))
 (314 12 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (314 2 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (312 24 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (278 24 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (258 258 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (258 258 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (252 9 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (242 242 (:TYPE-PRESCRIPTION STRING-LISTP))
 (242 242 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (242 121 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (188 12 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (186 25 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (177 177 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (168 48 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (168 48 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (158 50 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (144 72 (:REWRITE SET-EQUIV-ASYM))
 (139 12 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (135 24 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (135 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (131 129 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-2))
 (126 126 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-6))
 (121 121 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (121 121 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (121 121 (:REWRITE SET::IN-SET))
 (112 112 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (96 96 (:TYPE-PRESCRIPTION SET-EQUIV))
 (91 12 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (84 84 (:REWRITE SUBSETP-OF-CDR))
 (75 75 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (72 72 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (72 12 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (68 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (66 33 (:REWRITE DEFAULT-UNARY-MINUS))
 (65 3 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (51 51 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (50 50 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (50 50 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (48 48 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (35 5 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (34 12 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (30 30 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (30 7 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (25 25 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (24 24 (:TYPE-PRESCRIPTION NAMES-AT))
 (24 24 (:REWRITE PREFIXP-REFLEXIVE))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (24 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (21 21 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (20 20 (:TYPE-PRESCRIPTION CTX-APP))
 (18 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (18 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (17 5 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (14 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (13 13 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (11 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (10 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (9 3 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (8 8 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (7 7 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (6 6 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (5 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (5 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE FOLD-CONSTS-IN-+))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (2 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (2 2 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (2 2 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (2 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-8
 (7000 72 (:REWRITE LEN-WHEN-PREFIXP))
 (5676 44 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (3623 514 (:DEFINITION LEN))
 (3464 454 (:LINEAR LEN-WHEN-PREFIXP))
 (3394 106 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2584 72 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1806 602 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1768 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1672 44 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1548 9 (:DEFINITION NTHCDR))
 (1266 699 (:REWRITE DEFAULT-CDR))
 (1128 48 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1056 8 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1046 532 (:REWRITE DEFAULT-+-2))
 (1034 6 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (916 21 (:REWRITE NFIX-WHEN-ZP))
 (908 908 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (826 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-6))
 (818 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (681 227 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (681 227 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (532 532 (:REWRITE DEFAULT-+-1))
 (496 248 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (496 6 (:REWRITE CONSP-OF-NTHCDR))
 (479 2 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 (474 46 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (454 454 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (398 26 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (344 344 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (302 14 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (301 45 (:DEFINITION ASSOC-EQUAL))
 (288 288 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (244 241 (:REWRITE DEFAULT-CAR))
 (226 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (184 106 (:REWRITE DEFAULT-<-2))
 (180 20 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (174 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (152 106 (:REWRITE DEFAULT-<-1))
 (148 100 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (146 18 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (142 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (138 12 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (134 134 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (124 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (100 100 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (100 100 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (100 25 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (84 12 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (70 10 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (64 32 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (62 62 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (62 32 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (62 32 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (56 56 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (56 5 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (55 25 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (50 20 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (50 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (48 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (46 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (46 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (44 20 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (42 12 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (37 7 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (36 12 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (34 8 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (34 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (31 13 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (30 30 (:TYPE-PRESCRIPTION STRING-LISTP))
 (30 30 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (30 30 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (30 30 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (30 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (30 30 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (30 15 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (30 10 (:DEFINITION NATP))
 (30 6 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (28 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (27 9 (:REWRITE COMMUTATIVITY-OF-+))
 (26 26 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (25 25 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (24 8 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (24 6 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (24 4 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (24 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (18 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 6 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (16 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (15 15 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (15 15 (:REWRITE SET::IN-SET))
 (14 14 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (14 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (13 13 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (12 12 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (12 12 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (12 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (12 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11 11 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-P))
 (10 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (8 8 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (8 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (6 6 (:REWRITE CONSP-OF-LIST-FIX))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (6 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (2 2 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (1 1 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 )
(ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17
 (123 41 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (30 1 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (21 1 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (15 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (7 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:TYPE-PRESCRIPTION NAT-LISTP))
 (2 2 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(ABS-FIND-FILE-CORRECTNESS-1-LEMMA-15
 (8264 71 (:REWRITE LEN-WHEN-PREFIXP))
 (5954 51 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (5651 129 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (5616 4 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (5484 1 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (3781 553 (:DEFINITION LEN))
 (3168 440 (:LINEAR LEN-WHEN-PREFIXP))
 (2780 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2736 71 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2652 884 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2155 78 (:REWRITE ZP-OPEN))
 (2111 16 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1911 55 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1812 604 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (1774 48 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1603 51 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1553 63 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (1112 559 (:REWRITE DEFAULT-+-2))
 (1049 438 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1031 817 (:REWRITE DEFAULT-CDR))
 (968 62 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (939 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (872 872 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (851 9 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (835 6 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (755 65 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (753 53 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (729 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-6))
 (724 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (654 218 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (654 218 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (648 3 (:DEFINITION NTHCDR))
 (573 10 (:REWRITE NFIX-WHEN-ZP))
 (559 559 (:REWRITE DEFAULT-+-1))
 (439 124 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (437 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (430 215 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (410 407 (:REWRITE DEFAULT-CAR))
 (344 3 (:REWRITE CONSP-OF-NTHCDR))
 (343 206 (:REWRITE DEFAULT-<-2))
 (339 63 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (302 1 (:DEFINITION REMOVE-EQUAL))
 (285 285 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (275 11 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (255 206 (:REWRITE DEFAULT-<-1))
 (254 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (249 17 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (245 245 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (212 17 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (211 211 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (186 2 (:DEFINITION MEMBER-EQUAL))
 (184 124 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (183 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (167 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (156 15 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (156 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (150 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (143 25 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (129 9 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (124 124 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (117 7 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (105 84 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (90 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (75 75 (:TYPE-PRESCRIPTION STRIP-CARS))
 (74 17 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (73 73 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (69 63 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (69 19 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (68 32 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (68 19 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (65 5 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (64 25 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (63 63 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (63 63 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (63 63 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (63 42 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (59 59 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (59 59 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (59 32 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (59 29 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (59 3 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (59 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-5))
 (57 19 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (55 1 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (54 27 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (54 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (53 53 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (53 29 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (52 17 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (52 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (51 51 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (51 51 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (51 51 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (49 3 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (48 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (44 44 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (42 42 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (42 42 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (42 42 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (41 3 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (39 39 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (39 19 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (38 38 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (38 14 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (38 14 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (37 11 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (37 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-9))
 (36 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (35 35 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (34 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (32 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (32 11 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (30 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (28 7 (:DEFINITION STRIP-CARS))
 (27 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17))
 (25 25 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (25 25 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (23 23 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (20 20 (:TYPE-PRESCRIPTION STRING-LISTP))
 (20 20 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (20 10 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (20 5 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (19 19 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (18 6 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (17 17 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (15 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (14 14 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 6 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (12 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (12 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (11 11 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 10 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (10 10 (:REWRITE SET::IN-SET))
 (10 4 (:REWRITE MEMBER-WHEN-ATOM))
 (9 9 (:REWRITE CONSP-OF-LIST-FIX))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (8 8 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (8 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (8 1 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (7 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (6 6 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (6 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-P))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (5 5 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE SUBSETP-MEMBER . 3))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (5 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (5 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (5 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 )
(ABS-FIND-FILE-CORRECTNESS-1-LEMMA-45
 (127345 993 (:REWRITE LEN-WHEN-PREFIXP))
 (99287 403 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (73399 1406 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (68175 646 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (67975 506 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (52000 10 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (51433 3 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (45284 658 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (43421 6265 (:DEFINITION LEN))
 (38950 207 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (37441 54 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (28013 989 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (26360 6160 (:LINEAR LEN-WHEN-PREFIXP))
 (23432 309 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (22687 1276 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (19262 6099 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (18819 10517 (:REWRITE DEFAULT-CDR))
 (16435 1279 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (14500 1549 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (13851 105 (:DEFINITION NTHCDR))
 (12704 6439 (:REWRITE DEFAULT-+-2))
 (12148 12148 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (11051 192 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (9111 3037 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9111 3037 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8156 646 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (7786 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-11))
 (7732 100 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (7590 1281 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (7207 278 (:REWRITE NFIX-WHEN-ZP))
 (7138 176 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (6439 6439 (:REWRITE DEFAULT-+-1))
 (6163 6148 (:REWRITE DEFAULT-CAR))
 (5537 4082 (:REWRITE DEFAULT-<-2))
 (5481 1827 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5034 4082 (:REWRITE DEFAULT-<-1))
 (4677 16 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (4373 140 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (4137 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (3384 279 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3208 1604 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2257 1571 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1936 160 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1763 1763 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (1548 72 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1289 1277 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1285 1273 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1283 1277 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1281 1281 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1281 1281 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1277 1277 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1116 565 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1090 565 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1069 12 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (884 279 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (882 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (842 10 (:DEFINITION MEMBER-EQUAL))
 (828 737 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (788 120 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (693 693 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (662 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (616 160 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (596 302 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (574 74 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (542 368 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (502 83 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (494 13 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (484 484 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (484 20 (:REWRITE SUBSETP-CAR-MEMBER))
 (476 476 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (472 132 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (466 160 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (439 4 (:REWRITE CONSP-OF-NTHCDR))
 (367 72 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (362 362 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (353 353 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (352 8 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (346 346 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (344 344 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (336 336 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (336 3 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (322 16 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (319 9 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (316 158 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (315 157 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (314 314 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (294 1 (:DEFINITION REMOVE-EQUAL))
 (289 140 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (288 288 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (280 3 (:REWRITE REMOVE-WHEN-ABSENT))
 (272 272 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (268 132 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (264 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (261 87 (:REWRITE COMMUTATIVITY-OF-+))
 (260 110 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (251 251 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (247 247 (:TYPE-PRESCRIPTION STRIP-CARS))
 (245 110 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (244 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (230 63 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (226 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (225 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (204 204 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (195 195 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (166 166 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (162 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (152 71 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (138 17 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (136 136 (:TYPE-PRESCRIPTION STRING-LISTP))
 (136 136 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (136 68 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (136 16 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (135 15 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (132 132 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (124 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (122 122 (:TYPE-PRESCRIPTION CTX-APP))
 (122 18 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (120 120 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (120 4 (:DEFINITION NATP))
 (119 14 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (116 58 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (116 26 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (114 114 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (112 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (105 49 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (93 93 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (92 92 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (89 50 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (89 50 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (89 3 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (88 88 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (87 5 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (76 9 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (72 72 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (71 5 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 (68 68 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (68 68 (:REWRITE SET::IN-SET))
 (66 66 (:REWRITE CONSP-OF-LIST-FIX))
 (66 15 (:DEFINITION STRIP-CARS))
 (59 59 (:REWRITE SUBSETP-TRANS2))
 (59 59 (:REWRITE SUBSETP-TRANS))
 (59 3 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (57 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (55 55 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (52 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (51 51 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (49 3 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (47 47 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (46 18 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (42 1 (:REWRITE MEMBER-OF-STRIP-CARS))
 (41 41 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (41 16 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (41 3 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (40 40 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (40 4 (:DEFINITION ALISTP))
 (39 36 (:REWRITE CONSP-OF-STRIP-CARS))
 (39 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (36 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (34 2 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (32 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (30 12 (:REWRITE MEMBER-WHEN-ATOM))
 (30 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (30 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (29 17 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (28 8 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (28 8 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (28 1 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (27 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS))
 (26 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (23 23 (:TYPE-PRESCRIPTION FRAME-VAL))
 (20 20 (:REWRITE SUBSETP-MEMBER . 2))
 (20 20 (:REWRITE SUBSETP-MEMBER . 1))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (17 3 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 16 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (14 14 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (12 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (10 7 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (9 9 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (9 9 (:REWRITE SUBSETP-REFL))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (9 9 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (7 7 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (7 7 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (7 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6 1 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (6 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-6))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-P))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-2))
 (3 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
 (3 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-30
 (69659 1024 (:REWRITE LEN-WHEN-PREFIXP))
 (46362 63 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (40559 30 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (38628 857 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (26450 4036 (:DEFINITION LEN))
 (21433 962 (:DEFINITION ASSOC-EQUAL))
 (16504 4642 (:LINEAR LEN-WHEN-PREFIXP))
 (15161 540 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (10661 549 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (10252 6890 (:REWRITE DEFAULT-CDR))
 (9720 45 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-11))
 (9284 9284 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9041 63 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (8204 4168 (:REWRITE DEFAULT-+-2))
 (7652 552 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (7129 85 (:DEFINITION NTHCDR))
 (7074 49 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (6963 2321 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6963 2321 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6936 2312 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6288 884 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (5734 147 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (4851 857 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4168 4168 (:REWRITE DEFAULT-+-1))
 (4135 153 (:REWRITE NFIX-WHEN-ZP))
 (4094 2622 (:REWRITE DEFAULT-<-2))
 (4088 4036 (:REWRITE DEFAULT-CAR))
 (3934 143 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (3655 2622 (:REWRITE DEFAULT-<-1))
 (3617 566 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (3335 15 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3283 185 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3020 244 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (2624 230 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2583 214 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2537 1676 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2317 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2092 17 (:DEFINITION MEMBER-EQUAL))
 (1931 68 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (1930 37 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1802 950 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1695 188 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1612 245 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1606 151 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1516 808 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1359 7 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (1322 1322 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1313 353 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1305 15 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1291 808 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1254 30 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (1216 838 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1104 28 (:REWRITE CONSP-OF-NTHCDR))
 (1096 338 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1012 30 (:REWRITE SUBSETP-CAR-MEMBER))
 (992 186 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (962 30 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (866 26 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (860 230 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (806 215 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (762 762 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (737 353 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (736 117 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (716 716 (:TYPE-PRESCRIPTION STRIP-CARS))
 (712 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (697 30 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (606 30 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (598 188 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (588 546 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (583 562 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (577 550 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (574 574 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (572 143 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (566 566 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (566 566 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (550 550 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (500 500 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (500 178 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (476 56 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (472 16 (:DEFINITION NATP))
 (460 14 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (434 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (424 162 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (412 48 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (392 14 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (384 384 (:TYPE-PRESCRIPTION STRING-LISTP))
 (384 384 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (384 192 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (361 361 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (353 353 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (350 140 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (350 56 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (347 140 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (330 45 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 (306 44 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (304 1 (:DEFINITION REMOVE-EQUAL))
 (303 144 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (288 288 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (287 287 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (284 1 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (260 146 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (255 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (235 235 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (230 230 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (225 75 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (213 72 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (208 208 (:REWRITE CONSP-OF-LIST-FIX))
 (198 66 (:REWRITE COMMUTATIVITY-OF-+))
 (196 7 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (194 26 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (192 192 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (192 192 (:REWRITE SET::IN-SET))
 (190 190 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (182 14 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (180 30 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (180 15 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (177 72 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (175 7 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (165 15 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (162 36 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (160 54 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (156 35 (:DEFINITION STRIP-CARS))
 (155 155 (:REWRITE SUBSETP-TRANS2))
 (155 155 (:REWRITE SUBSETP-TRANS))
 (136 136 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (136 68 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (135 135 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (135 135 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (135 135 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (120 15 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (117 107 (:REWRITE CONSP-OF-STRIP-CARS))
 (105 105 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (105 45 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (98 28 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (98 28 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (91 14 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (90 90 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (90 30 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (90 30 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (90 30 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (90 15 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-6))
 (82 34 (:REWRITE MEMBER-WHEN-ATOM))
 (81 81 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (78 78 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (75 75 (:TYPE-PRESCRIPTION M1-FILE-P))
 (75 15 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (74 30 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (68 34 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (66 66 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (65 65 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (65 65 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (62 31 (:REWRITE SET-EQUIV-ASYM))
 (60 60 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (60 30 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (59 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (59 3 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (54 54 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (50 50 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (49 28 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (49 3 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (48 48 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (45 45 (:TYPE-PRESCRIPTION SET-EQUIV))
 (45 15 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (43 43 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (42 42 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (42 7 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (41 3 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (36 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (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 INTERSECTP-MEMBER . 3))
 (35 35 (:REWRITE INTERSECTP-MEMBER . 2))
 (30 30 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (30 30 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (30 30 (:REWRITE SUBSETP-OF-CDR))
 (30 30 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (30 30 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (30 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (30 15 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (30 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (30 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (28 28 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (21 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (15 15 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (15 15 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (15 15 (:REWRITE SUBSETP-REFL))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (15 15 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (15 15 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (15 15 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (15 15 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (15 15 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (14 14 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (1 1 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 )
(INDUCTION-SCHEME
 (13199 77 (:REWRITE LEN-WHEN-PREFIXP))
 (11029 44 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (10648 40 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (9731 47 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (9309 32 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (6168 80 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (5924 40 (:DEFINITION MEMBER-EQUAL))
 (5780 20 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (5727 12 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (5610 109 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (5576 118 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (5436 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3769 186 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (3707 77 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3483 1161 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3448 80 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3432 144 (:DEFINITION ASSOC-EQUAL))
 (3062 32 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (2922 430 (:DEFINITION LEN))
 (2640 80 (:REWRITE SUBSETP-CAR-MEMBER))
 (2480 360 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2432 186 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2400 2400 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2400 80 (:DEFINITION NATP))
 (2085 45 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2020 1003 (:REWRITE DEFAULT-CDR))
 (1800 80 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1785 12 (:DEFINITION NTHCDR))
 (1776 888 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (1644 12 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1483 266 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1374 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1360 160 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1356 36 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1276 484 (:LINEAR LEN-WHEN-PREFIXP))
 (1270 457 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1104 40 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1100 1100 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (984 40 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (924 3 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (918 798 (:REWRITE DEFAULT-CAR))
 (908 908 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (884 454 (:REWRITE DEFAULT-+-2))
 (856 160 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (800 800 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (756 42 (:REWRITE NFIX-WHEN-ZP))
 (681 227 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (681 227 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (636 80 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (616 160 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (616 160 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (594 455 (:REWRITE DEFAULT-<-2))
 (588 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (532 455 (:REWRITE DEFAULT-<-1))
 (520 40 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (516 40 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (454 454 (:REWRITE DEFAULT-+-1))
 (427 84 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (426 186 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (386 266 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (320 320 (:REWRITE CONSP-OF-STRIP-CARS))
 (320 80 (:DEFINITION STRIP-CARS))
 (306 186 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (282 47 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (268 268 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (266 266 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (266 266 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (228 40 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (200 200 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (200 200 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (200 80 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (200 80 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (200 80 (:REWRITE MEMBER-WHEN-ATOM))
 (186 186 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (174 108 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (174 12 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (170 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (168 108 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (161 83 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (160 160 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (160 160 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (160 80 (:REWRITE SET-EQUIV-ASYM))
 (134 134 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (126 48 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (124 124 (:TYPE-PRESCRIPTION ABS-FS-P))
 (120 120 (:TYPE-PRESCRIPTION SET-EQUIV))
 (120 120 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (120 120 (:REWRITE SUBSETP-TRANS2))
 (120 120 (:REWRITE SUBSETP-TRANS))
 (109 40 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (105 105 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (99 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (97 40 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (96 84 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (88 40 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (84 84 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (80 80 (:TYPE-PRESCRIPTION NATP))
 (80 80 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (80 80 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (80 80 (:REWRITE SUBSETP-OF-CDR))
 (80 80 (:REWRITE SUBSETP-MEMBER . 4))
 (80 80 (:REWRITE SUBSETP-MEMBER . 3))
 (80 80 (:REWRITE SUBSETP-MEMBER . 2))
 (80 80 (:REWRITE SUBSETP-MEMBER . 1))
 (80 80 (:REWRITE INTERSECTP-MEMBER . 3))
 (80 80 (:REWRITE INTERSECTP-MEMBER . 2))
 (80 80 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (80 80 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (60 42 (:REWRITE NFIX-WHEN-NATP))
 (57 12 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (56 4 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (54 30 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (50 44 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (48 48 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (44 44 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (44 44 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (44 44 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (42 42 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (42 42 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (42 42 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (42 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (40 40 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (40 40 (:REWRITE SUBSETP-REFL))
 (40 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (36 12 (:REWRITE COMMUTATIVITY-OF-+))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (31 10 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (30 30 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (28 7 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (24 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20 20 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 7 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (13 13 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (12 12 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 4 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (12 4 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (9 3 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7 7 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (6 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (5 5 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-7
 (1123678 31137 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (497424 25696 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (400749 3833 (:DEFINITION NTHCDR))
 (387606 137146 (:REWRITE DEFAULT-CDR))
 (368074 54543 (:DEFINITION LEN))
 (357242 25696 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (311967 5848 (:REWRITE NFIX-WHEN-ZP))
 (288744 8230 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (186414 3396 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (168749 3277 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (165899 25717 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (160428 53476 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (142877 148 (:REWRITE CONSP-OF-NTHCDR))
 (141054 116 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (121850 121697 (:REWRITE DEFAULT-CAR))
 (116824 62240 (:REWRITE DEFAULT-+-2))
 (112940 112940 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (109722 3260 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (91777 74431 (:REWRITE DEFAULT-<-2))
 (84705 28235 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (84705 28235 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (77902 74431 (:REWRITE DEFAULT-<-1))
 (75210 81 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (64720 2183 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (62279 62240 (:REWRITE DEFAULT-+-1))
 (61368 146 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (56470 56470 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (39258 2533 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (36212 6705 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (28782 2913 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (25780 25717 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (25759 25696 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (25759 25696 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (25717 25717 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (25717 25717 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (25696 25696 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (19973 834 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (19706 253 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (17587 17587 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (15813 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-6))
 (15734 6231 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (15712 6234 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (14225 2933 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (12970 1919 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (12179 498 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (11582 2963 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10010 876 (:REWRITE SUBSETP-CAR-MEMBER))
 (9009 2282 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8877 2928 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (8562 2928 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7552 52 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (6808 1747 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6337 6337 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6337 6337 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6332 6332 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6097 156 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (5929 5929 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (5652 2824 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5648 5648 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (5301 5301 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (5121 198 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (4996 4996 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4402 2183 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4170 417 (:DEFINITION ALISTP))
 (4074 4074 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (3830 42 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3823 3823 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3801 181 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS))
 (3608 20 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 (3502 472 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (3336 834 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (3192 21 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2954 2954 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2765 118 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (2583 2533 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (2480 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-8))
 (2429 998 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2318 42 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2312 1070 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (2299 2279 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (2285 2285 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2137 2137 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (2102 2102 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1668 1668 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (1663 1663 (:REWRITE SUBSETP-TRANS2))
 (1663 1663 (:REWRITE SUBSETP-TRANS))
 (1323 42 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1314 1314 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1278 1246 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1278 1246 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1149 1149 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (1149 1149 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (1091 14 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (998 998 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (998 998 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (995 995 (:TYPE-PRESCRIPTION STRIP-CARS))
 (928 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-38))
 (914 16 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (892 223 (:DEFINITION STRIP-CARS))
 (834 834 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (764 42 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (658 16 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (638 42 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (574 574 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (543 181 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
 (498 498 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (483 63 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (476 17 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (459 459 (:REWRITE SUBSETP-MEMBER . 2))
 (459 459 (:REWRITE SUBSETP-MEMBER . 1))
 (417 417 (:REWRITE SUBSETP-REFL))
 (357 2 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (319 42 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (294 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (288 288 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (237 20 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (236 236 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (210 210 (:REWRITE CONSP-OF-STRIP-CARS))
 (201 44 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (193 42 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (183 181 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-2))
 (177 177 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-6))
 (168 42 (:REWRITE MEMBER-WHEN-ATOM))
 (162 162 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (147 42 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (147 42 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (130 6 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (128 16 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (102 17 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (92 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (86 86 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (84 84 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (84 42 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (84 42 (:REWRITE SET-EQUIV-ASYM))
 (58 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (48 48 (:TYPE-PRESCRIPTION NAMES-AT))
 (48 48 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (46 6 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (42 42 (:TYPE-PRESCRIPTION SET-EQUIV))
 (42 42 (:REWRITE SUBSETP-OF-CDR))
 (42 42 (:REWRITE SUBSETP-MEMBER . 4))
 (42 42 (:REWRITE SUBSETP-MEMBER . 3))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 3))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 2))
 (42 42 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (42 42 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (39 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-11))
 (35 23 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (34 12 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (28 14 (:REWRITE DEFAULT-UNARY-MINUS))
 (24 8 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (24 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (22 6 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (21 21 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (21 21 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (18 18 (:TYPE-PRESCRIPTION CTX-APP))
 (18 6 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (14 14 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (14 6 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12 12 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (10 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (10 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (7 7 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (6 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (4 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (2 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (2 2 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-13
 (56141 516 (:REWRITE LEN-WHEN-PREFIXP))
 (46739 48 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (44406 372 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (29418 34 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (28656 8 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (26364 3848 (:DEFINITION LEN))
 (26205 506 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14319 3192 (:LINEAR LEN-WHEN-PREFIXP))
 (14254 926 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (7742 3894 (:REWRITE DEFAULT-+-2))
 (6846 372 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6802 2 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (6304 6304 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4728 1576 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4728 1576 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4188 70 (:REWRITE ZP-OPEN))
 (4173 74 (:REWRITE NFIX-WHEN-ZP))
 (3894 3894 (:REWRITE DEFAULT-+-1))
 (3771 1257 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2903 27 (:REWRITE CONSP-OF-NTHCDR))
 (2079 377 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1940 106 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1795 34 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1624 1592 (:REWRITE DEFAULT-CAR))
 (1393 928 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1356 31 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1335 31 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (1326 216 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1104 578 (:REWRITE DEFAULT-<-2))
 (1035 699 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1006 578 (:REWRITE DEFAULT-<-1))
 (813 112 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (783 23 (:REWRITE SUBSETP-CAR-MEMBER))
 (675 185 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (585 45 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (580 292 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (578 45 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (519 342 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (493 493 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (486 48 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (464 14 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (451 106 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (448 8 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (433 105 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (424 424 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (381 185 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (375 50 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (373 24 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (357 357 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (349 34 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (260 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (255 27 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (230 10 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (225 225 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (224 104 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (210 102 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (196 196 (:TYPE-PRESCRIPTION STRING-LISTP))
 (196 196 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (196 98 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (193 97 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (185 185 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (183 136 (:REWRITE SUBSETP-TRANS2))
 (176 136 (:REWRITE SUBSETP-TRANS))
 (176 44 (:DEFINITION STRIP-CARS))
 (165 45 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (162 54 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (161 23 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (150 20 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (145 97 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (140 74 (:REWRITE NFIX-WHEN-NATP))
 (140 50 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (120 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (115 115 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (115 49 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (114 114 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (112 112 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (106 106 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (99 99 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (98 98 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (98 98 (:REWRITE SET::IN-SET))
 (97 17 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (89 35 (:REWRITE SUBSETP-MEMBER . 4))
 (83 83 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (81 81 (:REWRITE CONSP-OF-LIST-FIX))
 (79 79 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (77 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (76 76 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (72 72 (:REWRITE SUBSETP-MEMBER . 2))
 (72 72 (:REWRITE SUBSETP-MEMBER . 1))
 (69 23 (:REWRITE COMMUTATIVITY-OF-+))
 (64 8 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (63 33 (:REWRITE MEMBER-WHEN-ATOM))
 (60 60 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (60 30 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (57 57 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (57 57 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (56 56 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (52 52 (:TYPE-PRESCRIPTION NFIX))
 (51 1 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (50 50 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (50 50 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (50 10 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (49 4 (:DEFINITION NATP))
 (45 45 (:TYPE-PRESCRIPTION SET-EQUIV))
 (45 45 (:TYPE-PRESCRIPTION ABS-FS-P))
 (45 15 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (40 20 (:REWRITE SET-EQUIV-ASYM))
 (35 35 (:REWRITE INTERSECTP-MEMBER . 3))
 (35 35 (:REWRITE INTERSECTP-MEMBER . 2))
 (33 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (30 30 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (23 23 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (21 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (20 20 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (20 20 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (20 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (18 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (16 16 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (15 15 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (15 15 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (10 10 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (8 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (8 1 (:DEFINITION HONS-ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 1 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (5 1 (:REWRITE SET-EQUIV-OF-NIL))
 (5 1 (:REWRITE LIST-EQUIV-OF-NIL-LEFT))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (3 3 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (3 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:DEFINITION HONS-EQUAL))
 )
(ABS-FIND-FILE-CORRECTNESS-1-LEMMA-48
 (4850 43 (:REWRITE LEN-WHEN-PREFIXP))
 (4500 3 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (4428 2 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (4128 34 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4007 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3505 39 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3050 72 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2332 344 (:DEFINITION LEN))
 (1814 264 (:LINEAR LEN-WHEN-PREFIXP))
 (1546 43 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1482 34 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1203 29 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1202 17 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (754 262 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (692 348 (:REWRITE DEFAULT-+-2))
 (520 520 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (476 461 (:REWRITE DEFAULT-CDR))
 (418 2 (:DEFINITION NTHCDR))
 (396 35 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (390 130 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (390 130 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (373 15 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (353 6 (:REWRITE ZP-OPEN))
 (351 6 (:REWRITE NFIX-WHEN-ZP))
 (348 348 (:REWRITE DEFAULT-+-1))
 (342 342 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (326 6 (:DEFINITION MEMBER-EQUAL))
 (268 134 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (242 1 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (229 2 (:REWRITE CONSP-OF-NTHCDR))
 (228 2 (:DEFINITION REMOVE-EQUAL))
 (219 8 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (212 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (178 178 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (174 58 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (159 150 (:REWRITE DEFAULT-CAR))
 (153 153 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (152 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (146 19 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (135 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (130 68 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (124 3 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (123 3 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (112 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (110 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (104 38 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (102 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (99 99 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (97 58 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (92 68 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (80 8 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (74 40 (:REWRITE DEFAULT-<-2))
 (73 3 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (68 68 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (66 40 (:REWRITE DEFAULT-<-1))
 (57 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (56 16 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (52 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (52 2 (:DEFINITION NATP))
 (48 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (45 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (41 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (40 20 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (39 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (39 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (38 38 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (38 20 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (38 8 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (38 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (38 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (35 17 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (34 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (32 17 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (32 16 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (32 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (31 1 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (30 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (29 20 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (28 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (27 27 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (27 12 (:REWRITE MEMBER-WHEN-ATOM))
 (26 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (25 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (24 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (23 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (22 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (20 20 (:TYPE-PRESCRIPTION NATP))
 (20 4 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (16 16 (:TYPE-PRESCRIPTION STRING-LISTP))
 (16 16 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (16 16 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (16 8 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (16 4 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (16 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (16 4 (:DEFINITION STRIP-CARS))
 (15 15 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (15 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 14 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (13 13 (:REWRITE SUBSETP-MEMBER . 4))
 (13 13 (:REWRITE SUBSETP-MEMBER . 3))
 (13 13 (:REWRITE SUBSETP-MEMBER . 2))
 (13 13 (:REWRITE SUBSETP-MEMBER . 1))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 3))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 2))
 (13 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (11 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (10 6 (:REWRITE NFIX-WHEN-NATP))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (10 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 2 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (8 8 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 8 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (8 8 (:REWRITE SET::IN-SET))
 (7 7 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (7 7 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (7 7 (:REWRITE SUBSETP-TRANS2))
 (7 7 (:REWRITE SUBSETP-TRANS))
 (7 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:REWRITE CONSP-OF-LIST-FIX))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (3 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-27
 (344357 7 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (330778 1936 (:REWRITE LEN-WHEN-PREFIXP))
 (294114 2713 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (260135 811 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (237569 907 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (227729 1584 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (213434 8 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (210682 1385 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (193553 267 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (172356 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-16))
 (150913 22434 (:DEFINITION LEN))
 (121807 145 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (96449 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-45))
 (94842 20245 (:LINEAR LEN-WHEN-PREFIXP))
 (88049 930 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (86415 1584 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (81127 65 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (80156 340 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (77412 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (70688 20014 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (64931 668 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (64803 527 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (63011 132 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (60673 7 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (58860 1950 (:REWRITE NFIX-WHEN-ZP))
 (54157 1078 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (47334 1936 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (47217 195 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (46450 24016 (:REWRITE DEFAULT-+-2))
 (39840 39840 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (34353 11451 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (31915 3056 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (30425 1009 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (30188 48 (:REWRITE EQUAL-OF-FRAME-VAL))
 (29880 9960 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (29880 9960 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (27854 106 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (27166 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (24016 24016 (:REWRITE DEFAULT-+-1))
 (23288 731 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (16371 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-30))
 (16037 539 (:DEFINITION PUT-ASSOC-EQUAL))
 (13960 114 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (12948 1701 (:REWRITE FRAME->FRAME-OF-FRAME-WITH-ROOT))
 (12532 106 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (11180 6127 (:REWRITE DEFAULT-<-2))
 (11136 317 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (10300 22 (:REWRITE ABS-SEPARATE-OF-PUT-ASSOC))
 (9902 106 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (9680 28 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-4))
 (9094 296 (:REWRITE REMOVE-ASSOC-OF-REMOVE-ASSOC))
 (8864 4432 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (8234 606 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8022 6127 (:REWRITE DEFAULT-<-1))
 (7600 2333 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5772 945 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (5626 5626 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (5588 4843 (:REWRITE DEFAULT-CAR))
 (5441 995 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (5226 461 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4472 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-23))
 (4457 2409 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (4425 4425 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (4385 521 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (4302 22 (:REWRITE DIST-NAMES-OF-CTX-APP))
 (4119 145 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (4069 4069 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (3769 2409 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3115 3115 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (2952 296 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (2926 705 (:DEFINITION STRIP-CARS))
 (2589 1950 (:REWRITE NFIX-WHEN-NATP))
 (2520 630 (:REWRITE FRAME->ROOT-OF-FRAME-WITH-ROOT))
 (2373 791 (:REWRITE COMMUTATIVITY-OF-+))
 (2282 95 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2156 122 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (2073 613 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2064 44 (:REWRITE FRAME-VAL->DIR-OF-FRAME-VAL))
 (2043 719 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1996 813 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1932 44 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-5))
 (1756 976 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1649 1649 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1609 1609 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1530 461 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1526 224 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1492 1492 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (1452 726 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1226 22 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1222 1222 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1214 463 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1176 14 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1172 1172 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1115 1115 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1098 858 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1091 463 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (990 110 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (941 941 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (940 304 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (870 60 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (868 70 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (865 865 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (848 848 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (830 22 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (812 28 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (792 224 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (792 224 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (773 773 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (758 638 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (744 744 (:TYPE-PRESCRIPTION NAMES-AT))
 (730 730 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (730 365 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (696 696 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (692 177 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (683 488 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (679 679 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (677 103 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (673 6 (:REWRITE CONSP-OF-NTHCDR))
 (654 654 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (638 638 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (634 317 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (584 584 (:TYPE-PRESCRIPTION FRAME-VAL))
 (546 546 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (536 268 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (527 527 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (502 142 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (475 475 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (434 424 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (420 95 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (396 132 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (392 392 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (382 145 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (370 14 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (367 14 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (340 28 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17))
 (314 114 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (304 304 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (297 297 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (296 296 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (294 14 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (286 142 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (284 48 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (280 280 (:TYPE-PRESCRIPTION CTX-APP))
 (270 53 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (254 63 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (248 248 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (243 243 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (228 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (224 224 (:REWRITE SUBSETP-TRANS2))
 (224 224 (:REWRITE SUBSETP-TRANS))
 (224 28 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (218 22 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-2))
 (208 7 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (176 66 (:REWRITE ABS-SEPARATE-OF-REMOVE-ASSOC))
 (169 169 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (168 28 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (156 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (154 42 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (154 22 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-REMOVE-ASSOC))
 (152 36 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-1))
 (144 144 (:TYPE-PRESCRIPTION STRING-LISTP))
 (144 144 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (144 72 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (142 142 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (140 14 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (132 44 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (122 122 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (113 113 (:REWRITE CONSP-OF-LIST-FIX))
 (110 110 (:REWRITE FRAME-VAL-P-OF-FRAME-VAL))
 (110 22 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (98 28 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (95 95 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (72 72 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (72 72 (:REWRITE SET::IN-SET))
 (66 66 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (56 56 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (56 56 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (44 22 (:REWRITE FRAME-VAL->PATH-OF-FRAME-VAL))
 (42 42 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (32 16 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (32 16 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (24 3 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (22 22 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (22 22 (:REWRITE APPEND-WHEN-PREFIXP))
 (22 22 (:REWRITE ABSFAT-EQUIV-OF-ABS-FS-FIX))
 (16 16 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 1))
 (13 13 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (8 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-17
 (12418 198 (:REWRITE LEN-WHEN-PREFIXP))
 (9631 48 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (8853 133 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (8188 1352 (:REWRITE DEFAULT-CDR))
 (7070 260 (:DEFINITION ASSOC-EQUAL))
 (6871 285 (:REWRITE ZP-OPEN))
 (5811 1937 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5123 114 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4830 177 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (4371 670 (:DEFINITION LEN))
 (3171 166 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2709 981 (:LINEAR LEN-WHEN-PREFIXP))
 (2436 24 (:DEFINITION NTHCDR))
 (2280 166 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2142 1071 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (1960 1960 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1774 41 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1674 36 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1665 114 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1616 28 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1601 34 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1549 18 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (1470 490 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1470 490 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1409 117 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1388 718 (:REWRITE DEFAULT-+-2))
 (1306 17 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1268 17 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-16))
 (1188 784 (:REWRITE DEFAULT-<-2))
 (1159 37 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (1057 166 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1027 1006 (:REWRITE DEFAULT-CAR))
 (1027 72 (:REWRITE NFIX-WHEN-ZP))
 (1013 48 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (985 784 (:REWRITE DEFAULT-<-1))
 (923 8 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (902 15 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (846 5 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (718 718 (:REWRITE DEFAULT-+-1))
 (647 4 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (615 17 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (576 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (532 38 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (417 10 (:REWRITE CONSP-OF-NTHCDR))
 (406 25 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (400 244 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (396 66 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (383 5 (:DEFINITION MEMBER-EQUAL))
 (363 11 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-9))
 (352 25 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (351 59 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (309 115 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (299 3 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 (293 10 (:REWRITE SUBSETP-CAR-MEMBER))
 (291 153 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (282 18 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (264 66 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (255 70 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (246 72 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (222 113 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (221 113 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (211 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (209 53 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (198 66 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (194 194 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (192 43 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (190 4 (:DEFINITION PUT-ASSOC-EQUAL))
 (189 120 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (182 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (174 9 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (168 38 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (166 166 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (166 166 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (166 166 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (166 166 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (166 166 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (166 166 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (160 160 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (154 88 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (144 70 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (136 16 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (130 130 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (130 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (118 118 (:TYPE-PRESCRIPTION STRIP-CARS))
 (118 22 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (110 14 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (107 72 (:REWRITE NFIX-WHEN-NATP))
 (105 1 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (104 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (97 97 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (97 97 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (96 30 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (95 43 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (94 14 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (93 93 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (92 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (87 87 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (87 17 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-45))
 (84 17 (:DEFINITION STRIP-CARS))
 (84 1 (:REWRITE MEMBER-OF-STRIP-CARS))
 (82 34 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (81 81 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (74 74 (:TYPE-PRESCRIPTION STRING-LISTP))
 (74 74 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (74 37 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (72 24 (:REWRITE COMMUTATIVITY-OF-+))
 (70 70 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (67 67 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (66 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (63 63 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (60 60 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (56 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (52 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (49 22 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (49 22 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (48 15 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (46 14 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (44 2 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (43 43 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (42 18 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (42 6 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (38 38 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (37 37 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (37 37 (:REWRITE SET::IN-SET))
 (37 15 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (36 36 (:TYPE-PRESCRIPTION M1-FILE-P))
 (33 33 (:REWRITE CONSP-OF-LIST-FIX))
 (33 11 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (32 32 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (32 7 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (30 30 (:REWRITE SUBSETP-TRANS2))
 (30 30 (:REWRITE SUBSETP-TRANS))
 (30 14 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (28 12 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (25 5 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (25 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (25 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (24 24 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:REWRITE CONSP-OF-STRIP-CARS))
 (24 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (24 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (22 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (21 21 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (20 10 (:REWRITE SET-EQUIV-ASYM))
 (20 8 (:REWRITE MEMBER-WHEN-ATOM))
 (20 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (19 5 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (18 9 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (17 17 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (16 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14 14 (:TYPE-PRESCRIPTION SET-EQUIV))
 (14 14 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (11 11 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (11 11 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (11 1 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (10 10 (:REWRITE SUBSETP-OF-CDR))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 5 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:REWRITE SUBSETP-REFL))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (7 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (6 6 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 (6 6 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (4 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-14
 (66733 804 (:REWRITE LEN-WHEN-PREFIXP))
 (53897 108 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (49637 490 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (40593 777 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (28206 4214 (:DEFINITION LEN))
 (25618 499 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (22781 1428 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8536 4322 (:REWRITE DEFAULT-+-2))
 (8152 75 (:REWRITE CONSP-OF-NTHCDR))
 (7664 54 (:DEFINITION NTHCDR))
 (7040 7040 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6466 79 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (5798 5675 (:REWRITE DEFAULT-CDR))
 (5465 57 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (5398 151 (:REWRITE ZP-OPEN))
 (5319 170 (:REWRITE NFIX-WHEN-ZP))
 (5280 1760 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (5280 1760 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4870 3604 (:LINEAR LEN-WHEN-PREFIXP))
 (4322 4322 (:REWRITE DEFAULT-+-1))
 (2292 1446 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2272 57 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (2052 1080 (:REWRITE DEFAULT-<-2))
 (1858 1080 (:REWRITE DEFAULT-<-1))
 (1841 1071 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1818 606 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1795 149 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1766 490 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1501 1486 (:REWRITE DEFAULT-CAR))
 (1481 79 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1233 323 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1212 606 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1059 108 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1041 86 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (968 467 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (929 467 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (796 796 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (782 521 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (762 762 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (719 149 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (687 323 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (654 142 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (626 151 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (611 43 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (555 555 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (542 490 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (495 490 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (494 490 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (450 150 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (382 83 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (364 364 (:TYPE-PRESCRIPTION STRING-LISTP))
 (364 364 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (364 182 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (344 344 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (323 323 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (286 170 (:REWRITE NFIX-WHEN-NATP))
 (258 86 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (195 99 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (193 193 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (186 31 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (182 182 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (182 182 (:REWRITE SET::IN-SET))
 (172 172 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (172 43 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (162 54 (:REWRITE COMMUTATIVITY-OF-+))
 (149 149 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (141 141 (:REWRITE CONSP-OF-LIST-FIX))
 (135 54 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (135 54 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (129 43 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (104 23 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (101 32 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (95 95 (:TYPE-PRESCRIPTION NFIX))
 (92 23 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (89 89 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (86 86 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (86 86 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (86 43 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (83 83 (:REWRITE SUBSETP-TRANS2))
 (83 83 (:REWRITE SUBSETP-TRANS))
 (69 18 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (61 31 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (59 32 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (54 54 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (48 48 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (45 45 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (43 43 (:TYPE-PRESCRIPTION ABS-FS-P))
 (43 43 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (43 43 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (43 43 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (42 12 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (29 29 (:REWRITE SUBSETP-REFL))
 (24 24 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (5 5 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-31
 (11424 143 (:REWRITE LEN-WHEN-PREFIXP))
 (9436 95 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9338 13 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (6599 138 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6256 95 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5511 92 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (5105 743 (:DEFINITION LEN))
 (3817 235 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3516 714 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1953 651 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1771 95 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1498 755 (:REWRITE DEFAULT-+-2))
 (1432 726 (:LINEAR LEN-WHEN-PREFIXP))
 (1404 1404 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1053 351 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1053 351 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (974 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (973 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (968 23 (:REWRITE ZP-OPEN))
 (957 1 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (834 86 (:DEFINITION ASSOC-EQUAL))
 (820 15 (:REWRITE NFIX-WHEN-ZP))
 (755 755 (:REWRITE DEFAULT-+-1))
 (630 315 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (620 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (611 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-45))
 (564 187 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (558 95 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (546 4 (:DEFINITION MEMBER-EQUAL))
 (535 25 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (530 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (513 21 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (484 470 (:REWRITE DEFAULT-CAR))
 (379 22 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (377 95 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (366 366 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (353 239 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (353 95 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (351 189 (:REWRITE DEFAULT-<-2))
 (342 55 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (322 189 (:REWRITE DEFAULT-<-1))
 (315 175 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (302 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (264 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (261 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (207 10 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (206 206 (:TYPE-PRESCRIPTION STRIP-CARS))
 (194 13 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (183 7 (:DEFINITION NATP))
 (180 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (177 90 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (160 45 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (149 11 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (145 12 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (136 16 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (132 1 (:REWRITE CONSP-OF-NTHCDR))
 (128 10 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (125 125 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (124 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (123 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (121 85 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (115 115 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (112 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (107 22 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (106 53 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (104 4 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (100 14 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (99 22 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (92 92 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (91 45 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (87 87 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (86 16 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (82 28 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (81 81 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (74 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (72 30 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (62 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (60 10 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (58 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (55 22 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (55 22 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (55 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (52 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (51 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (47 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (46 46 (:TYPE-PRESCRIPTION STRING-LISTP))
 (46 46 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (46 23 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (45 45 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (45 25 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (44 12 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (44 12 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (43 43 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (43 43 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (42 42 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (40 40 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (38 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (36 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (36 8 (:DEFINITION STRIP-CARS))
 (34 22 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (33 30 (:REWRITE CONSP-OF-STRIP-CARS))
 (31 31 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (31 31 (:REWRITE SUBSETP-TRANS2))
 (31 31 (:REWRITE SUBSETP-TRANS))
 (31 6 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (28 10 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (27 27 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (26 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (25 16 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (24 15 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (23 23 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (23 23 (:REWRITE SET::IN-SET))
 (23 15 (:REWRITE NFIX-WHEN-NATP))
 (22 22 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (22 22 (:REWRITE CONSP-OF-LIST-FIX))
 (20 8 (:REWRITE MEMBER-WHEN-ATOM))
 (19 19 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (19 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (18 18 (:TYPE-PRESCRIPTION ABS-FS-P))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (18 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (18 1 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (18 1 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (16 16 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (16 16 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (16 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (16 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 3 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (11 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (10 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (10 10 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (10 4 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9 9 (:REWRITE SUBSETP-REFL))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (7 2 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 3 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (6 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (5 5 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (4 4 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (4 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (1 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-24
 (324345 1121 (:REWRITE LEN-WHEN-PREFIXP))
 (283864 11 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (271485 1560 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (262611 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (236260 1080 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (234202 453 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (215080 543 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (200628 1642 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (196296 139 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (180184 540 (:DEFINITION NTHCDR))
 (171706 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-45))
 (168120 1020 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (149288 21288 (:DEFINITION LEN))
 (125512 17011 (:LINEAR LEN-WHEN-PREFIXP))
 (105452 13 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (102606 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-30))
 (93734 390 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (90351 5122 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (80639 1080 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (74004 568 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (71518 1454 (:REWRITE NFIX-WHEN-ZP))
 (70404 33903 (:REWRITE DEFAULT-CDR))
 (62855 166 (:REWRITE REMOVE-ASSOC-OF-REMOVE-ASSOC))
 (62277 945 (:REWRITE FRAME->FRAME-OF-FRAME-WITH-ROOT))
 (61932 750 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (57718 14 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (56352 18784 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (53706 569 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (51559 16803 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (43656 22368 (:REWRITE DEFAULT-+-2))
 (43548 59 (:REWRITE EQUAL-OF-FRAME-VAL))
 (40690 117 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (36821 1144 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (36768 140 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (35248 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (33444 33444 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (32665 32665 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (25083 8361 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (25083 8361 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (25072 170 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (23351 1117 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (22368 22368 (:REWRITE DEFAULT-+-1))
 (21670 122 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (19765 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (19614 170 (:REWRITE MEMBER-OF-STRIP-CARS))
 (18936 21 (:REWRITE ABS-SEPARATE-OF-PUT-ASSOC))
 (18836 117 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (16013 9521 (:REWRITE DEFAULT-CAR))
 (14528 340 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (13702 117 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (13440 32 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-4))
 (11634 543 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (11294 916 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (10989 375 (:DEFINITION PUT-ASSOC-EQUAL))
 (10483 1545 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (10178 450 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8441 575 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (8370 5202 (:REWRITE DEFAULT-<-2))
 (8299 543 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (8192 645 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (7936 372 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (7736 243 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (6748 3374 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6261 5202 (:REWRITE DEFAULT-<-1))
 (5614 170 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (5512 5512 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (4688 4688 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4688 4688 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4636 884 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4617 353 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4540 21 (:REWRITE DIST-NAMES-OF-CTX-APP))
 (4313 4313 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3878 543 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (3799 847 (:DEFINITION STRIP-CARS))
 (3610 3610 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (3479 3479 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (3064 264 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (3014 1545 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2947 1331 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2830 2830 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (2742 348 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2693 544 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2691 2691 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2623 302 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (2522 127 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (2490 170 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2226 2226 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (2126 1331 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2108 248 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (1938 1454 (:REWRITE NFIX-WHEN-NATP))
 (1844 42 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-5))
 (1810 170 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1804 166 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (1720 12 (:REWRITE CONSP-OF-NTHCDR))
 (1719 191 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (1680 280 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (1622 178 (:REWRITE SUBSETP-CAR-MEMBER))
 (1620 540 (:REWRITE COMMUTATIVITY-OF-+))
 (1480 170 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1400 350 (:REWRITE FRAME->ROOT-OF-FRAME-WITH-ROOT))
 (1397 21 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1381 21 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-2))
 (1344 16 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1266 1266 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1231 42 (:REWRITE FRAME-VAL->DIR-OF-FRAME-VAL))
 (1215 453 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1188 453 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1124 1028 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1073 357 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1052 764 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1028 422 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1009 1009 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (992 422 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (986 406 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (980 280 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (915 543 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (915 543 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (915 543 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (900 900 (:TYPE-PRESCRIPTION NAMES-AT))
 (884 884 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (882 36 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (851 851 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (822 822 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (820 196 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (820 196 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (806 380 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (792 21 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (721 229 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (636 212 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (624 20 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (617 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (612 157 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (596 20 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (585 585 (:TYPE-PRESCRIPTION FRAME-VAL))
 (546 546 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (543 543 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (543 543 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (543 543 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (540 540 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (522 522 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (502 502 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (486 243 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (447 447 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (447 447 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (438 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-27))
 (403 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-14))
 (398 398 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (391 391 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (378 378 (:TYPE-PRESCRIPTION CTX-APP))
 (363 122 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (358 358 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (358 179 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (340 340 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (340 340 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (340 170 (:REWRITE SET-EQUIV-ASYM))
 (337 59 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (321 65 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (316 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (313 313 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (300 300 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (296 296 (:TYPE-PRESCRIPTION STRIP-CARS))
 (256 32 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (248 248 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (248 124 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (229 229 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (213 58 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (204 204 (:REWRITE SUBSETP-TRANS2))
 (204 204 (:REWRITE SUBSETP-TRANS))
 (191 191 (:REWRITE FRAME-VAL-P-OF-FRAME-VAL))
 (174 174 (:REWRITE SUBSETP-MEMBER . 2))
 (174 174 (:REWRITE SUBSETP-MEMBER . 1))
 (172 172 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (170 170 (:TYPE-PRESCRIPTION SET-EQUIV))
 (170 170 (:REWRITE SUBSETP-OF-CDR))
 (168 63 (:REWRITE ABS-SEPARATE-OF-REMOVE-ASSOC))
 (160 16 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (160 4 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (153 37 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-1))
 (152 76 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (147 21 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-REMOVE-ASSOC))
 (146 36 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (142 35 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (140 140 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (138 138 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (135 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-8))
 (131 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (127 127 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (126 42 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (120 58 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (120 11 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (105 21 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (76 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (70 70 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (69 5 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 (64 64 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (62 62 (:TYPE-PRESCRIPTION STRING-LISTP))
 (62 62 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (62 31 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (58 58 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (58 10 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (57 22 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (42 21 (:REWRITE FRAME-VAL->PATH-OF-FRAME-VAL))
 (41 41 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (40 4 (:DEFINITION ALISTP))
 (36 36 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (35 35 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (35 1 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (34 34 (:REWRITE CONSP-OF-LIST-FIX))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (32 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (31 31 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (31 31 (:REWRITE SET::IN-SET))
 (27 27 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (27 27 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (24 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (21 21 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (21 21 (:REWRITE APPEND-WHEN-PREFIXP))
 (21 21 (:REWRITE ABSFAT-EQUIV-OF-ABS-FS-FIX))
 (20 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (20 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (13 13 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (10 10 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 1))
 (8 8 (:REWRITE SUBSETP-REFL))
 (8 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-11))
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-12)
(ABS-FIND-FILE-CORRECTNESS-LEMMA-2
 (39 13 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (13 13 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-5
 (22620 269 (:REWRITE LEN-WHEN-PREFIXP))
 (21164 48 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (14428 146 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (14290 18 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (14055 11 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (10769 148 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (10572 261 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7639 1124 (:DEFINITION LEN))
 (6204 420 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5953 295 (:REWRITE ZP-OPEN))
 (4303 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (3846 80 (:DEFINITION MEMBER-EQUAL))
 (3813 95 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (3726 55 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (2937 979 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2917 53 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2628 2628 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2608 393 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2379 45 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (2294 1170 (:REWRITE DEFAULT-+-2))
 (2071 77 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (1987 103 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1971 657 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1971 657 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1794 85 (:REWRITE NFIX-WHEN-ZP))
 (1765 52 (:REWRITE SUBSETP-CAR-MEMBER))
 (1751 18 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-45))
 (1704 52 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1530 1449 (:REWRITE DEFAULT-CAR))
 (1487 857 (:REWRITE DEFAULT-<-2))
 (1341 103 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1322 1322 (:LINEAR LEN-WHEN-PREFIXP))
 (1258 1258 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (1221 18 (:REWRITE CONSP-OF-NTHCDR))
 (1209 48 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1177 1177 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (1170 1170 (:REWRITE DEFAULT-+-1))
 (1122 55 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (1116 857 (:REWRITE DEFAULT-<-1))
 (873 48 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (833 77 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (806 26 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (783 27 (:DEFINITION NATP))
 (754 78 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (747 34 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (736 129 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (728 26 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (679 424 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (663 43 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (649 40 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (622 11 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (580 35 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (566 74 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (547 43 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (539 44 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (482 258 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (481 52 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (462 132 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (454 30 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (438 175 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (428 173 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (403 26 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (394 78 (:DEFINITION STRIP-CARS))
 (337 18 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (337 18 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-14))
 (330 141 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (324 141 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (308 11 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (294 79 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (272 216 (:REWRITE SUBSETP-TRANS2))
 (258 216 (:REWRITE SUBSETP-TRANS))
 (222 222 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (207 69 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (198 66 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (198 33 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (194 194 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (189 189 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (185 185 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (182 125 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (182 52 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (182 52 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (181 103 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (179 74 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (176 22 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (170 35 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (169 169 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (169 26 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (168 129 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (167 167 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (165 79 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (160 160 (:REWRITE SUBSETP-MEMBER . 2))
 (160 160 (:REWRITE SUBSETP-MEMBER . 1))
 (150 52 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (146 146 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (146 146 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (146 146 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (146 146 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (142 103 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (141 13 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (140 36 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (139 139 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (136 136 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (136 85 (:REWRITE NFIX-WHEN-NATP))
 (132 132 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (132 66 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (132 44 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (132 33 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (129 129 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (129 129 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (124 52 (:REWRITE MEMBER-WHEN-ATOM))
 (121 121 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (104 52 (:REWRITE SET-EQUIV-ASYM))
 (103 103 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (100 100 (:TYPE-PRESCRIPTION ABS-FS-P))
 (96 96 (:TYPE-PRESCRIPTION SET-EQUIV))
 (91 52 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (89 89 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (88 88 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (88 11 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (86 86 (:TYPE-PRESCRIPTION STRING-LISTP))
 (86 86 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (86 43 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (79 79 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (77 77 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (77 77 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (74 74 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (70 70 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (69 69 (:TYPE-PRESCRIPTION NFIX))
 (69 23 (:REWRITE COMMUTATIVITY-OF-+))
 (66 22 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (65 26 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (54 9 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (52 52 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (52 52 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (52 52 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (52 52 (:REWRITE SUBSETP-OF-CDR))
 (52 52 (:REWRITE SUBSETP-MEMBER . 4))
 (52 52 (:REWRITE SUBSETP-MEMBER . 3))
 (52 52 (:REWRITE INTERSECTP-MEMBER . 3))
 (52 52 (:REWRITE INTERSECTP-MEMBER . 2))
 (52 52 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (52 52 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (50 26 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (44 44 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (44 22 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (43 43 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (43 43 (:REWRITE SET::IN-SET))
 (35 35 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (35 35 (:REWRITE CONSP-OF-LIST-FIX))
 (33 33 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (33 33 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (33 11 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (26 26 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (26 26 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (26 26 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (23 23 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (22 11 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (22 7 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (13 7 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (11 11 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (11 11 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (11 11 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (11 11 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (5 1 (:REWRITE SET-EQUIV-OF-NIL))
 (3 3 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (2 2 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-6
 (331 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (251 2 (:DEFINITION MEMBER-EQUAL))
 (224 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (162 25 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (132 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (132 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (90 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (68 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (62 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (60 2 (:DEFINITION NATP))
 (58 6 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (56 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (46 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (37 13 (:REWRITE DEFAULT-CDR))
 (37 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (33 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (33 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (31 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (28 1 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (27 1 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (26 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (26 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (25 10 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (25 10 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (24 5 (:DEFINITION STRIP-CARS))
 (24 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (23 17 (:REWRITE DEFAULT-CAR))
 (21 4 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (17 17 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (15 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (14 4 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (14 4 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (13 13 (:REWRITE SUBSETP-TRANS2))
 (13 13 (:REWRITE SUBSETP-TRANS))
 (13 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (11 11 (:TYPE-PRESCRIPTION FRAME-P))
 (11 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION NAT-LISTP))
 (10 4 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10 4 (:REWRITE MEMBER-WHEN-ATOM))
 (9 3 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (8 8 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (8 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-P))
 (7 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 3 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (5 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (5 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5 1 (:DEFINITION ASSOC-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (4 4 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (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 NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:TYPE-PRESCRIPTION LEN))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (2 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (2 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (2 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (2 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-22
 (95298 643 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (90121 3 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (89535 2 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (72787 1929 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (70803 2859 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (64016 496 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (63936 432 (:REWRITE FRAME->FRAME-OF-FRAME-WITH-ROOT))
 (63032 2534 (:REWRITE ZP-OPEN))
 (60397 2143 (:DEFINITION ASSOC-EQUAL))
 (51892 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-8))
 (43910 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-CTX-APP))
 (43782 2441 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (36627 118 (:REWRITE LEN-WHEN-PREFIXP))
 (31670 2444 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (28931 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-45))
 (28907 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-30))
 (28705 64 (:REWRITE REMOVE-ASSOC-OF-REMOVE-ASSOC))
 (24104 204 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (23602 173 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (21983 161 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (19884 74 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (19161 6387 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (16783 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (15991 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-11))
 (15483 447 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (15427 156 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (14616 2444 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (14252 70 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (14001 161 (:REWRITE FRAME->ROOT-OF-FRAME-WITH-ROOT))
 (12943 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (12328 71 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (10841 6387 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (10033 122 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9547 25 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (9035 9026 (:REWRITE DEFAULT-CAR))
 (8293 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-14))
 (7989 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (7714 1122 (:DEFINITION LEN))
 (7533 5469 (:REWRITE DEFAULT-CDR))
 (6673 210 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (6592 64 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (5426 5133 (:REWRITE DEFAULT-<-2))
 (5420 65 (:REWRITE MEMBER-OF-STRIP-CARS))
 (5226 5133 (:REWRITE DEFAULT-<-1))
 (4545 380 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4321 848 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3752 121 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (3655 860 (:LINEAR LEN-WHEN-PREFIXP))
 (3299 390 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3223 38 (:DEFINITION NTHCDR))
 (3150 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (2958 118 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2816 128 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2569 122 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2451 2442 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2444 2444 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2444 2444 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2444 2438 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2443 2440 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2442 2442 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2401 1203 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (2314 1192 (:REWRITE DEFAULT-+-2))
 (2287 68 (:DEFINITION MEMBER-EQUAL))
 (1988 132 (:REWRITE SUBSETP-CAR-MEMBER))
 (1923 435 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1820 73 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1817 133 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1807 55 (:REWRITE NFIX-WHEN-ZP))
 (1672 1672 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1668 1668 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1600 64 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (1583 1583 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1583 1583 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1563 1563 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1408 128 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1313 32 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1254 418 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1254 418 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1192 1192 (:REWRITE DEFAULT-+-1))
 (1153 380 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1016 1016 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (969 390 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (910 73 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (870 5 (:REWRITE EQUAL-OF-FRAME-VAL))
 (858 68 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (743 133 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (704 64 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (636 69 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (633 16 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (586 586 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (519 131 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (513 96 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (504 67 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (492 246 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (482 181 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (470 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (462 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-6))
 (456 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 (451 451 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (448 64 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (429 210 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (420 142 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (395 197 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (394 394 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (393 11 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (357 1 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (350 170 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (335 335 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (331 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (330 16 (:DEFINITION PUT-ASSOC-EQUAL))
 (308 308 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (304 75 (:DEFINITION STRIP-CARS))
 (294 1 (:DEFINITION REMOVE-EQUAL))
 (290 290 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (282 3 (:REWRITE REMOVE-WHEN-ABSENT))
 (274 181 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (264 132 (:REWRITE SET-EQUIV-ASYM))
 (240 15 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (234 234 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (213 213 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (187 86 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (173 173 (:TYPE-PRESCRIPTION NFIX))
 (173 173 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (173 48 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (172 86 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (164 100 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (164 100 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (162 162 (:TYPE-PRESCRIPTION CTX-APP))
 (161 161 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (161 161 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (157 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (156 156 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (155 155 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (145 5 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (142 142 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (141 117 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (141 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (136 136 (:REWRITE SUBSETP-MEMBER . 2))
 (136 136 (:REWRITE SUBSETP-MEMBER . 1))
 (134 134 (:TYPE-PRESCRIPTION SET-EQUIV))
 (132 132 (:REWRITE SUBSETP-OF-CDR))
 (132 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (131 131 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (130 130 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (130 130 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (122 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (114 1 (:REWRITE CONSP-OF-NTHCDR))
 (112 112 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (109 4 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (105 35 (:REWRITE COMMUTATIVITY-OF-+))
 (103 103 (:REWRITE SUBSETP-TRANS2))
 (103 103 (:REWRITE SUBSETP-TRANS))
 (97 40 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (86 86 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (86 1 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (85 40 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (85 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (81 55 (:REWRITE NFIX-WHEN-NATP))
 (78 78 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (77 22 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (77 6 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (74 17 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (69 69 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (68 23 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (68 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (64 64 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (64 32 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (64 12 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (63 21 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (62 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (60 60 (:TYPE-PRESCRIPTION NAMES-AT))
 (60 2 (:DEFINITION NATP))
 (59 3 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (56 13 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (56 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (53 53 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (53 10 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (52 52 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (51 11 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (49 3 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (46 46 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (44 22 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (43 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (42 42 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (41 3 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (39 39 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (36 36 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (36 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (34 2 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (30 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (29 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-24))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (28 1 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (27 1 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (26 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (22 22 (:TYPE-PRESCRIPTION STRING-LISTP))
 (22 22 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (22 22 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (22 11 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (21 3 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 (20 20 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (20 8 (:REWRITE MEMBER-WHEN-ATOM))
 (20 4 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (18 18 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (16 16 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (15 15 (:TYPE-PRESCRIPTION FRAME-VAL))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (15 2 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (14 14 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (14 4 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (14 4 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (13 13 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (13 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 4 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (12 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (11 11 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (11 11 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (11 11 (:REWRITE SET::IN-SET))
 (10 10 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 1))
 (10 10 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (10 7 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (10 5 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (9 9 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (9 9 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (9 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE CONSP-OF-LIST-FIX))
 (8 4 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (7 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (6 6 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6 2 (:REWRITE CTX-APP-OF-ABS-FS-FIX-1))
 (6 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-P))
 (5 5 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (5 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FRAME-WITH-ROOT-OF-ABS-FS-FIX))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-9
 (89030 1081 (:REWRITE LEN-WHEN-PREFIXP))
 (76695 143 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (68421 620 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (54325 1042 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (37566 632 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (37409 5602 (:DEFINITION LEN))
 (30958 1927 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (11346 5744 (:REWRITE DEFAULT-+-2))
 (9460 9460 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8203 100 (:REWRITE CONSP-OF-NTHCDR))
 (8202 7612 (:REWRITE DEFAULT-CDR))
 (7189 200 (:REWRITE ZP-OPEN))
 (7095 2365 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (7095 2365 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (7093 227 (:REWRITE NFIX-WHEN-ZP))
 (6153 103 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (5744 5744 (:REWRITE DEFAULT-+-1))
 (4838 4838 (:LINEAR LEN-WHEN-PREFIXP))
 (4588 74 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (3836 1280 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3139 1951 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2827 74 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (2740 1441 (:REWRITE DEFAULT-<-2))
 (2558 1280 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (2480 1441 (:REWRITE DEFAULT-<-1))
 (2397 1305 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2162 179 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1988 1950 (:REWRITE DEFAULT-CAR))
 (1521 406 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1401 116 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1389 143 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1215 591 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1194 591 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1012 1012 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (946 946 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (936 633 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (935 161 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (879 179 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (852 406 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (821 58 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (770 770 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (733 185 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (680 66 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (620 620 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (620 620 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (620 620 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (620 620 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (600 200 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (546 117 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (464 464 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (446 446 (:TYPE-PRESCRIPTION STRING-LISTP))
 (446 446 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (446 223 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (406 406 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (383 227 (:REWRITE NFIX-WHEN-NATP))
 (348 116 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (338 62 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (273 273 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (264 264 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (264 44 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (248 137 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (232 58 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (223 223 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (223 223 (:REWRITE SET::IN-SET))
 (213 71 (:REWRITE COMMUTATIVITY-OF-+))
 (195 78 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (195 78 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (194 23 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-14))
 (179 179 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (179 179 (:REWRITE CONSP-OF-LIST-FIX))
 (174 58 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (150 66 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (132 132 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (129 129 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (128 128 (:TYPE-PRESCRIPTION NFIX))
 (117 117 (:REWRITE SUBSETP-TRANS2))
 (117 117 (:REWRITE SUBSETP-TRANS))
 (116 116 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (116 116 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (116 58 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (107 41 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (104 23 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (92 23 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (77 41 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (71 71 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (69 18 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (66 66 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (58 58 (:TYPE-PRESCRIPTION ABS-FS-P))
 (58 58 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (58 58 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (58 58 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (45 45 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (39 39 (:REWRITE SUBSETP-REFL))
 (28 28 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (19 19 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (11 1 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-26
 (7274 148 (:REWRITE LEN-WHEN-PREFIXP))
 (6054 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (5949 6 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (5614 34 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3987 89 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3968 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (3160 88 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2808 155 (:DEFINITION ASSOC-EQUAL))
 (2448 7 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (2319 369 (:DEFINITION LEN))
 (2273 132 (:REWRITE ZP-OPEN))
 (1932 878 (:REWRITE DEFAULT-CDR))
 (1528 17 (:DEFINITION NTHCDR))
 (1272 1272 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (993 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (990 36 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (957 14 (:DEFINITION MEMBER-EQUAL))
 (954 318 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (954 318 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (937 30 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (867 35 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (866 32 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (804 42 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (772 403 (:REWRITE DEFAULT-+-2))
 (742 427 (:REWRITE DEFAULT-<-2))
 (708 674 (:REWRITE DEFAULT-CAR))
 (696 24 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (678 226 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (668 668 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (646 34 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (636 636 (:LINEAR LEN-WHEN-PREFIXP))
 (636 30 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (623 51 (:REWRITE NFIX-WHEN-ZP))
 (586 4 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (578 427 (:REWRITE DEFAULT-<-1))
 (558 42 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (518 79 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (488 21 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (478 12 (:REWRITE REMOVE-WHEN-ABSENT))
 (472 4 (:DEFINITION REMOVE-EQUAL))
 (410 7 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (403 403 (:REWRITE DEFAULT-+-1))
 (396 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (396 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (392 8 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (381 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (378 30 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (361 21 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (352 22 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (324 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-45))
 (320 10 (:REWRITE CONSP-OF-NTHCDR))
 (300 18 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (285 48 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (276 24 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (272 25 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (270 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (256 131 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (255 30 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (254 131 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (222 222 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (211 22 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (210 6 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (204 24 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (186 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (180 6 (:DEFINITION NATP))
 (174 87 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (174 18 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (168 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (165 87 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (163 43 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (152 152 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (149 21 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (144 52 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (131 131 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (115 76 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (114 38 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (111 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (108 108 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (108 18 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (107 40 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (106 106 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (102 30 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (93 30 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (93 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (91 43 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (90 36 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (90 36 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (90 25 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (88 88 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (88 88 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (88 88 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (88 88 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (84 3 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (79 51 (:REWRITE NFIX-WHEN-NATP))
 (78 16 (:DEFINITION STRIP-CARS))
 (78 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (74 74 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (72 18 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (70 28 (:REWRITE MEMBER-WHEN-ATOM))
 (67 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-14))
 (66 66 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (60 60 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (60 42 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (59 7 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (57 48 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (56 56 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (52 52 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (51 42 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (51 17 (:REWRITE COMMUTATIVITY-OF-+))
 (48 48 (:TYPE-PRESCRIPTION STRING-LISTP))
 (48 48 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (48 48 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (48 48 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (48 48 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (48 24 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (48 6 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (43 43 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (43 43 (:REWRITE SUBSETP-TRANS2))
 (43 43 (:REWRITE SUBSETP-TRANS))
 (43 13 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (42 42 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (42 12 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (42 12 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (41 41 (:TYPE-PRESCRIPTION NFIX))
 (39 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (39 3 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (36 36 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (36 36 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 18 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (36 12 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (36 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (36 4 (:REWRITE MEMBER-OF-STRIP-CARS))
 (36 4 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (35 35 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (35 20 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (34 34 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (34 22 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (33 33 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (33 33 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (33 33 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (33 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (30 30 (:TYPE-PRESCRIPTION ABS-FS-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (28 28 (:REWRITE SUBSETP-MEMBER . 4))
 (28 28 (:REWRITE SUBSETP-MEMBER . 3))
 (28 28 (:REWRITE SUBSETP-MEMBER . 2))
 (28 28 (:REWRITE SUBSETP-MEMBER . 1))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 3))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 2))
 (27 18 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (25 25 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (24 24 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (24 24 (:REWRITE SET::IN-SET))
 (24 12 (:REWRITE SET-EQUIV-ASYM))
 (24 6 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (18 18 (:TYPE-PRESCRIPTION SET-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (18 18 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (17 17 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (15 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (13 13 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (13 13 (:REWRITE CONSP-OF-LIST-FIX))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (12 12 (:REWRITE SUBSETP-OF-CDR))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (12 6 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (12 6 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (12 1 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 (9 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (4 4 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (4 4 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (2 2 (:TYPE-PRESCRIPTION LIST-EQUIV))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-37
 (9987 3 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (8425 207 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6998 115 (:REWRITE LEN-WHEN-PREFIXP))
 (5862 83 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4922 83 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3753 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (2944 115 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2863 479 (:DEFINITION LEN))
 (2120 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2110 538 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1380 460 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1187 791 (:REWRITE DEFAULT-CDR))
 (1135 201 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1064 1064 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (966 487 (:REWRITE DEFAULT-+-2))
 (810 10 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (798 266 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (798 266 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (739 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (687 5 (:DEFINITION MEMBER-EQUAL))
 (667 25 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (652 4 (:DEFINITION NTHCDR))
 (609 34 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (572 8 (:REWRITE CONSP-OF-NTHCDR))
 (544 544 (:LINEAR LEN-WHEN-PREFIXP))
 (517 13 (:REWRITE ZP-OPEN))
 (516 16 (:REWRITE NFIX-WHEN-ZP))
 (510 17 (:DEFINITION PUT-ASSOC-EQUAL))
 (487 487 (:REWRITE DEFAULT-+-1))
 (463 48 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (460 442 (:REWRITE DEFAULT-CAR))
 (434 10 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (405 75 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (358 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (344 10 (:DEFINITION NATP))
 (326 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (310 8 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (280 149 (:REWRITE DEFAULT-<-2))
 (267 201 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (264 149 (:REWRITE DEFAULT-<-1))
 (256 10 (:REWRITE SUBSETP-CAR-MEMBER))
 (254 10 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (238 238 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (231 10 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (204 201 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (203 58 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (194 119 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (184 28 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (168 3 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (159 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (153 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (150 25 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (142 10 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (136 79 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (133 79 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (132 132 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (132 12 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (131 131 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (123 20 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (116 58 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (104 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (102 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (99 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (98 2 (:REWRITE STRIP-CARS-OF-PUT-ASSOC))
 (86 10 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (83 83 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (83 83 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (83 83 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (83 83 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (78 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (75 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-14))
 (69 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (66 6 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (63 42 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (63 42 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (61 61 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (61 61 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (58 58 (:TYPE-PRESCRIPTION STRING-LISTP))
 (58 58 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (58 58 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (58 29 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (57 57 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (56 28 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (48 16 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (48 3 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (47 47 (:REWRITE SUBSETP-TRANS2))
 (47 47 (:REWRITE SUBSETP-TRANS))
 (45 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (45 3 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (42 42 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (42 29 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (42 12 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (42 12 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (42 2 (:REWRITE ABS-SEPARATE-OF-PUT-ASSOC))
 (40 10 (:DEFINITION STRIP-CARS))
 (39 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (39 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (37 7 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (36 36 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (36 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (33 33 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (33 3 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (32 32 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (32 2 (:DEFINITION BINARY-APPEND))
 (29 29 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (29 29 (:REWRITE SET::IN-SET))
 (29 20 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (28 28 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (28 16 (:REWRITE NFIX-WHEN-NATP))
 (28 10 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (25 25 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (25 25 (:REWRITE CONSP-OF-LIST-FIX))
 (24 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (24 6 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (22 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (21 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (20 20 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (20 20 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (20 10 (:REWRITE SET-EQUIV-ASYM))
 (19 10 (:REWRITE MEMBER-WHEN-ATOM))
 (19 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (16 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (15 15 (:TYPE-PRESCRIPTION NATP))
 (15 15 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (15 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (13 13 (:TYPE-PRESCRIPTION SET-EQUIV))
 (13 13 (:TYPE-PRESCRIPTION ABS-FS-P))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 10 (:REWRITE SUBSETP-OF-CDR))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (10 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (9 9 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (9 9 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (8 8 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (8 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7 7 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-23
 (23093 41 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (22737 21 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (20328 41 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (20185 456 (:REWRITE LEN-WHEN-PREFIXP))
 (18334 222 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (17548 222 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (15555 112 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (13859 201 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (12995 243 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (11565 456 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (9332 478 (:DEFINITION ASSOC-EQUAL))
 (7466 451 (:REWRITE ZP-OPEN))
 (6690 1066 (:DEFINITION LEN))
 (6291 2725 (:REWRITE DEFAULT-CDR))
 (5887 41 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (4905 600 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (4858 56 (:DEFINITION NTHCDR))
 (3420 126 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (3150 87 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (3049 21 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (2989 2989 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (2816 2816 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2608 140 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2548 112 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2386 1382 (:REWRITE DEFAULT-<-2))
 (2328 2328 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (2317 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2244 1178 (:REWRITE DEFAULT-+-2))
 (2226 105 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (2206 2126 (:REWRITE DEFAULT-CAR))
 (2113 28 (:DEFINITION MEMBER-EQUAL))
 (2112 704 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2112 704 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2060 121 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1986 41 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-14))
 (1904 63 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1887 629 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1832 140 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1827 1382 (:REWRITE DEFAULT-<-1))
 (1804 166 (:REWRITE NFIX-WHEN-ZP))
 (1720 70 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (1408 1408 (:LINEAR LEN-WHEN-PREFIXP))
 (1404 218 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1326 21 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (1272 24 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1222 21 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1178 1178 (:REWRITE DEFAULT-+-1))
 (1115 41 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-45))
 (1075 63 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1036 70 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (1018 7 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (939 615 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (924 28 (:REWRITE SUBSETP-CAR-MEMBER))
 (924 28 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (909 154 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (889 57 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (829 21 (:REWRITE REMOVE-WHEN-ABSENT))
 (820 7 (:DEFINITION REMOVE-EQUAL))
 (792 48 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (777 777 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (698 698 (:TYPE-PRESCRIPTION PREFIXP))
 (687 153 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (651 651 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (630 28 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (575 21 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (567 152 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (546 273 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (524 92 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (516 26 (:REWRITE CONSP-OF-NTHCDR))
 (476 56 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (462 201 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (462 201 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (438 69 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (434 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (426 426 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (420 14 (:DEFINITION NATP))
 (411 51 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (406 42 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (392 14 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (378 378 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (378 63 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (357 213 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (356 356 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (356 108 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (345 115 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (318 152 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (297 90 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (294 147 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (290 116 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (290 116 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (288 48 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (282 282 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (266 98 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (260 260 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (259 28 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (255 166 (:REWRITE NFIX-WHEN-NATP))
 (252 63 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (240 240 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (240 240 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (226 21 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (222 222 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (222 222 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (222 222 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (222 222 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (222 78 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (217 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (210 210 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (196 7 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (193 6 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 (183 57 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (182 140 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (182 14 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (175 154 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (174 174 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (168 56 (:REWRITE COMMUTATIVITY-OF-+))
 (168 35 (:DEFINITION STRIP-CARS))
 (168 21 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (166 166 (:TYPE-PRESCRIPTION STRING-LISTP))
 (166 166 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (166 166 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (166 83 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (161 140 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (154 154 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (154 154 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (152 152 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (144 68 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (140 140 (:TYPE-PRESCRIPTION NFIX))
 (140 140 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (140 56 (:REWRITE MEMBER-WHEN-ATOM))
 (135 135 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (134 134 (:REWRITE SUBSETP-TRANS2))
 (134 134 (:REWRITE SUBSETP-TRANS))
 (126 21 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (126 7 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (124 124 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (124 62 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (121 121 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (116 116 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (102 70 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (101 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (98 98 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (98 28 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (98 28 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (97 97 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (97 97 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (97 97 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (94 94 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (91 14 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (84 84 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (84 21 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (84 21 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (84 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-8))
 (83 83 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (83 83 (:REWRITE SET::IN-SET))
 (79 58 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (63 63 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (63 7 (:REWRITE MEMBER-OF-STRIP-CARS))
 (63 7 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (56 56 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (56 56 (:REWRITE SUBSETP-MEMBER . 4))
 (56 56 (:REWRITE SUBSETP-MEMBER . 3))
 (56 56 (:REWRITE SUBSETP-MEMBER . 2))
 (56 56 (:REWRITE SUBSETP-MEMBER . 1))
 (56 56 (:REWRITE INTERSECTP-MEMBER . 3))
 (56 56 (:REWRITE INTERSECTP-MEMBER . 2))
 (56 28 (:REWRITE SET-EQUIV-ASYM))
 (48 48 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (48 48 (:REWRITE CONSP-OF-LIST-FIX))
 (42 42 (:TYPE-PRESCRIPTION SET-EQUIV))
 (42 42 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (42 21 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (42 21 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (35 14 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (30 30 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (30 30 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (28 28 (:REWRITE SUBSETP-OF-CDR))
 (28 28 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (22 22 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (21 21 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (21 21 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (21 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (14 14 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (13 9 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 (9 9 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (7 7 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (7 7 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-39
 (8094 23 (:DEFINITION COLLAPSE))
 (7683 519 (:REWRITE DEFAULT-CDR))
 (7186 134 (:REWRITE ZP-OPEN))
 (6340 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (5816 43 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (3652 4 (:DEFINITION ABS-FIND-FILE))
 (2933 96 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2823 181 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2453 48 (:DEFINITION NTHCDR))
 (2207 55 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2192 152 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2136 43 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2081 43 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1897 26 (:DEFINITION COLLAPSE-THIS))
 (1625 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (1580 790 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (1505 16 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (1218 16 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (970 970 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (912 29 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (849 81 (:REWRITE NFIX-WHEN-ZP))
 (773 18 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (728 4 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (723 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-9))
 (718 386 (:REWRITE DEFAULT-<-2))
 (705 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (687 146 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (680 680 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (624 4 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (602 40 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (544 20 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (534 386 (:REWRITE DEFAULT-<-1))
 (510 170 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (510 170 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (477 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (381 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (369 123 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (356 356 (:LINEAR LEN-WHEN-PREFIXP))
 (348 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (284 19 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (273 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (245 146 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (243 75 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (226 19 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (212 2 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 (211 41 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (196 196 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (192 192 (:TYPE-PRESCRIPTION STRIP-CARS))
 (180 10 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (180 6 (:DEFINITION NATP))
 (162 14 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (154 132 (:REWRITE DEFAULT-CAR))
 (150 10 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (147 147 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (144 48 (:REWRITE COMMUTATIVITY-OF-+))
 (143 98 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (140 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (138 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (132 132 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (123 123 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (122 22 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (120 40 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (120 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (114 81 (:REWRITE NFIX-WHEN-NATP))
 (99 33 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (96 96 (:REWRITE DEFAULT-+-2))
 (96 96 (:REWRITE DEFAULT-+-1))
 (95 35 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (89 30 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (89 30 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (84 84 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (84 42 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (84 14 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (80 80 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (78 78 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (78 13 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (78 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (75 75 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (72 12 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (69 69 (:REWRITE LEN-OF-FAT32-FILENAME-LIST-FIX))
 (66 12 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (66 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (63 12 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (58 29 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (56 56 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (54 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (49 9 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (48 8 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (45 12 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (45 12 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (44 44 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (43 43 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (43 43 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (43 43 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (41 41 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (40 40 (:TYPE-PRESCRIPTION ABS-FS-P))
 (40 35 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (40 13 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (40 13 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (40 10 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (36 36 (:REWRITE CONSP-OF-STRIP-CARS))
 (36 12 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (35 35 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (34 7 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (30 30 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (30 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (27 27 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (26 26 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (26 26 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (26 26 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (26 26 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (26 26 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (26 26 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (26 13 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (26 13 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (26 13 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (26 13 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (24 6 (:REWRITE MEMBER-WHEN-ATOM))
 (24 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (24 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (22 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-26))
 (20 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-23 . 1))
 (18 18 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (13 13 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (13 13 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (13 13 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (12 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (12 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (4 4 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(ABS-FIND-FILE-CORRECTNESS-LEMMA-32
 (261880 26 (:DEFINITION ABS-FIND-FILE))
 (190036 503 (:DEFINITION COLLAPSE))
 (146653 7884 (:REWRITE DEFAULT-CDR))
 (137995 1887 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (125999 786 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (79981 1880 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (78293 91 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (78053 1366 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (77552 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (76824 26 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (68864 138 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (62800 3546 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (61863 779 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (57268 344 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (46881 566 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (44327 197 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (42812 192 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (39971 164 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-9))
 (39957 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-39))
 (39707 334 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (29576 146 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (27006 334 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (25429 197 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (24671 192 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (22833 680 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (21468 5 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-1))
 (19372 167 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (18267 1368 (:REWRITE NFIX-WHEN-ZP))
 (15948 15948 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (15876 850 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (15650 334 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (15122 458 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (14097 7544 (:REWRITE DEFAULT-<-2))
 (11961 3987 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (11961 3987 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (11078 7544 (:REWRITE DEFAULT-<-1))
 (10688 10688 (:TYPE-PRESCRIPTION STRIP-CARS))
 (10020 334 (:DEFINITION NATP))
 (9832 2882 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8902 8902 (:LINEAR LEN-WHEN-PREFIXP))
 (7840 3920 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (7682 334 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (7664 7664 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (7574 4120 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (6639 1723 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6611 226 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (5008 853 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (4872 357 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (4603 73 (:DEFINITION NTH))
 (4345 3330 (:REWRITE DEFAULT-CAR))
 (4342 334 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (4313 19 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (4008 668 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (3934 3934 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (3784 1552 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (3705 1552 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3674 334 (:REWRITE SUBSETP-CAR-MEMBER))
 (3658 668 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (3368 344 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (3309 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (3244 3244 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (3104 3104 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (3006 668 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2917 29 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2890 1013 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2889 509 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (2882 2882 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2656 668 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (2656 668 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (2642 256 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (2600 380 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (2513 843 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2502 2502 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2487 192 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2433 811 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2355 138 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (2354 1967 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2338 823 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2040 138 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (2026 2026 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2010 2004 (:REWRITE CONSP-OF-STRIP-CARS))
 (2010 335 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (1930 197 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1926 1251 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1920 192 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1880 1880 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1880 1880 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1880 1880 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1837 823 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1818 193 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1723 1723 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (1700 1700 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1670 1670 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (1670 668 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1360 680 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1344 96 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1339 192 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (1336 1336 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1336 334 (:REWRITE MEMBER-WHEN-ATOM))
 (1336 334 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1336 334 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1306 1306 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1225 1225 (:REWRITE LEN-OF-FAT32-FILENAME-LIST-FIX))
 (1211 346 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1065 1065 (:REWRITE DEFAULT-+-2))
 (1065 1065 (:REWRITE DEFAULT-+-1))
 (1057 192 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (924 924 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (924 197 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (876 844 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (864 288 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (852 138 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (843 78 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (782 782 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (738 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (692 346 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (687 687 (:TYPE-PRESCRIPTION M1-FILE-P))
 (678 678 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (670 335 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (668 668 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (668 668 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (668 668 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (668 668 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (668 334 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (668 334 (:REWRITE SET-EQUIV-ASYM))
 (662 331 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (612 612 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (564 564 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (564 564 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (564 564 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (480 96 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (480 96 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (480 96 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (425 425 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (404 404 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (399 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (394 394 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (384 96 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (377 47 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (368 368 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (358 358 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (354 52 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (346 346 (:TYPE-PRESCRIPTION STRING-LISTP))
 (346 346 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (346 346 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (346 173 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (339 339 (:REWRITE SUBSETP-MEMBER . 2))
 (339 339 (:REWRITE SUBSETP-MEMBER . 1))
 (334 334 (:TYPE-PRESCRIPTION SET-EQUIV))
 (334 334 (:TYPE-PRESCRIPTION NATP))
 (334 334 (:REWRITE SUBSETP-OF-CDR))
 (334 334 (:REWRITE SUBSETP-MEMBER . 4))
 (334 334 (:REWRITE SUBSETP-MEMBER . 3))
 (334 334 (:REWRITE INTERSECTP-MEMBER . 3))
 (334 334 (:REWRITE INTERSECTP-MEMBER . 2))
 (334 334 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (334 334 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (334 334 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (317 317 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (288 288 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (249 78 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (219 219 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (200 35 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (192 192 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (192 192 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (192 192 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (192 192 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (192 96 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (173 173 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (173 173 (:REWRITE SET::IN-SET))
 (173 173 (:REWRITE CONSP-OF-LIST-FIX))
 (162 33 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (157 157 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (130 130 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (101 20 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (88 44 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (88 44 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (87 87 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (78 78 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (73 73 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (73 73 (:REWRITE NTH-WHEN-PREFIXP))
 (73 73 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (69 69 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (60 60 (:REWRITE MV-NTH-OF-CONS))
 (55 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-26))
 (50 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-23 . 1))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (36 36 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (25 5 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (23 23 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (21 21 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (19 19 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-FIND-FILE-CORRECTNESS-2
 (90484599 1203262 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (36061701 219279 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (32027682 7359134 (:REWRITE DEFAULT-CDR))
 (14282699 755278 (:REWRITE NFIX-WHEN-ZP))
 (10892628 10892628 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8169471 2723157 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (8169471 2723157 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6231032 3624719 (:REWRITE DEFAULT-<-2))
 (5821710 5821710 (:LINEAR LEN-WHEN-PREFIXP))
 (4917661 6776 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-20))
 (4666096 3624719 (:REWRITE DEFAULT-<-1))
 (4641156 1524413 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4601984 15018 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (4580242 2187 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-30))
 (4490644 3300 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 (4184078 15064 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (2825621 8038 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (2318686 2318686 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (2049718 5934 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1760491 8912 (:REWRITE REMOVE-WHEN-ABSENT))
 (1642363 653996 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1615622 29435 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1548962 3300 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-11))
 (1440608 3260 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1240242 42989 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1237160 480967 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1199521 480967 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1174159 1078849 (:REWRITE DEFAULT-CAR))
 (1137743 91984 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (1119774 1113640 (:REWRITE DEFAULT-+-2))
 (1119768 1113640 (:REWRITE DEFAULT-+-1))
 (931430 776570 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (868024 1196 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-24))
 (818776 321443 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (810354 810354 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (810354 810354 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (810354 810354 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (744456 60072 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (681435 57314 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (636181 31091 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (552799 697 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (550117 388285 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (534025 534025 (:TYPE-PRESCRIPTION STRIP-CARS))
 (526481 526481 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (483438 483438 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (468377 92572 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (465352 231704 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (435989 30507 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (423163 57453 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (418999 418999 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (387529 387529 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (387508 387508 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (381984 381984 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (369170 53546 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (341985 31091 (:REWRITE SUBSETP-CAR-MEMBER))
 (322854 7684 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (282758 80068 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (276300 276300 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (273930 273930 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (266039 68618 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (260004 57314 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (258588 258588 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (252822 13158 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (251333 251333 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (190289 102 (:REWRITE ABS-SEPARATE-CORRECTNESS-LEMMA-6))
 (189434 41714 (:REWRITE CONSP-OF-LIST-FIX))
 (178377 35637 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (160136 80068 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (156243 32905 (:REWRITE MEMBER-WHEN-ATOM))
 (155960 9802 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (135166 45058 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (123541 122505 (:REWRITE CONSP-OF-STRIP-CARS))
 (116656 116656 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (114201 41934 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (82308 1630 (:DEFINITION NTH))
 (80068 80068 (:TYPE-PRESCRIPTION STRING-LISTP))
 (80068 80068 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (80068 80068 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (80068 40034 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (70553 891 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (68654 57314 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (62407 62407 (:REWRITE SUBSETP-TRANS))
 (62206 31103 (:REWRITE SET-EQUIV-ASYM))
 (61062 61062 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-31))
 (61044 30513 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (57152 301 (:REWRITE STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (53075 53075 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (52604 52604 (:REWRITE SUBSETP-REFL))
 (48826 9802 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (48459 33811 (:REWRITE SUBSETP-MEMBER . 4))
 (42918 21459 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (41906 41906 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (40034 40034 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (40034 40034 (:REWRITE SET::IN-SET))
 (38415 2934 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (36404 5285 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (35705 35589 (:REWRITE SUBSETP-MEMBER . 2))
 (35589 35589 (:REWRITE SUBSETP-MEMBER . 1))
 (33811 33811 (:REWRITE SUBSETP-MEMBER . 3))
 (33811 33811 (:REWRITE INTERSECTP-MEMBER . 3))
 (33811 33811 (:REWRITE INTERSECTP-MEMBER . 2))
 (31128 31128 (:TYPE-PRESCRIPTION SET-EQUIV))
 (31091 31091 (:REWRITE SUBSETP-OF-CDR))
 (30916 2855 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (30270 1058 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (29400 840 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (25731 25731 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (25658 32 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-17))
 (25234 25234 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (24864 990 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (17150 584 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (14423 14423 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (13784 812 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (13644 13644 (:TYPE-PRESCRIPTION NAMES-AT))
 (13158 13158 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (10603 1972 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (9451 584 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (8936 4468 (:REWRITE DEFAULT-UNARY-MINUS))
 (8872 1808 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (8867 1168 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (6318 2916 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (5285 1167 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (4968 1254 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (4623 1263 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4623 1263 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4548 4548 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4528 497 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (3978 663 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-2))
 (3421 940 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2945 2945 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2934 2934 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2578 331 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2530 28 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (2247 963 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1851 1851 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (1846 331 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1747 1747 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1680 1680 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1680 1680 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1680 1680 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1680 1680 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1635 644 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1630 1630 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1630 1630 (:REWRITE NTH-WHEN-PREFIXP))
 (1615 331 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1431 1431 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (1294 331 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1258 617 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1234 1234 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1168 1168 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1168 1168 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1168 1168 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (810 270 (:REWRITE CTX-APP-OF-ABS-FS-FIX-1))
 (644 644 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (584 584 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (584 584 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (584 584 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (504 84 (:REWRITE ABS-SEPARATE-CORRECTNESS-LEMMA-9))
 (473 473 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (473 473 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (473 473 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (473 473 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (444 444 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (374 374 (:REWRITE FOLD-CONSTS-IN-+))
 (331 331 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (270 270 (:REWRITE FRAME-WITH-ROOT-OF-ABS-FS-FIX))
 (252 84 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (249 249 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (231 231 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (154 6 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (120 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (56 28 (:REWRITE FRAME->ROOT-NORMALISATION))
 (31 31 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (28 28 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (28 28 (:REWRITE FRAME->ROOT-OF-PUT-ASSOC))
 (24 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (24 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (22 2 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (21 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (21 3 (:REWRITE NO-DUPLICATESP-EQUAL-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 1))
 (18 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-2 . 2))
 (8 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 )
