(RP::PP-LISTS-P)
(RP::PP-HAS-BITP-RP
 (4015 7 (:DEFINITION APPLY$-BADGEP))
 (2075 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (1973 8 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (1784 16 (:DEFINITION SUBSETP-EQUAL))
 (1760 8 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1492 4 (:DEFINITION TRUE-LISTP))
 (1464 120 (:DEFINITION MEMBER-EQUAL))
 (1244 20 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1212 12 (:DEFINITION RP::RP-TERMP))
 (984 40 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (920 64 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (816 4 (:DEFINITION RP::FALIST-CONSISTENT))
 (632 4 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (448 8 (:DEFINITION RP::RP-TERM-LISTP))
 (326 145 (:REWRITE DEFAULT-+-2))
 (240 240 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (210 14 (:DEFINITION LENGTH))
 (208 208 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (200 145 (:REWRITE DEFAULT-+-1))
 (192 192 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (182 18 (:DEFINITION LEN))
 (180 50 (:REWRITE O-P-O-INFP-CAR))
 (168 20 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (160 48 (:REWRITE RP::IS-IF-RP-TERMP))
 (128 128 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (121 29 (:DEFINITION QUOTEP))
 (112 112 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (112 28 (:REWRITE COMMUTATIVITY-OF-+))
 (112 28 (:DEFINITION INTEGER-ABS))
 (111 3 (:REWRITE O<=-O-FINP-DEF))
 (106 8 (:DEFINITION NATP))
 (84 84 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (82 6 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (64 16 (:REWRITE RP::RP-TERMP-CADDDR))
 (58 20 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (56 14 (:REWRITE RP::RP-TERMP-CADDDDR))
 (49 41 (:REWRITE DEFAULT-<-2))
 (48 48 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (48 48 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (48 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (48 16 (:REWRITE RP::RP-TERMP-CADR))
 (48 16 (:REWRITE RP::RP-TERMP-CADDR))
 (48 16 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (46 41 (:REWRITE DEFAULT-<-1))
 (42 42 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (42 42 (:TYPE-PRESCRIPTION LEN))
 (42 28 (:REWRITE STR::CONSP-OF-EXPLODE))
 (40 40 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (36 36 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (33 33 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-3))
 (32 16 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (28 28 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (28 28 (:REWRITE DEFAULT-UNARY-MINUS))
 (28 14 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (28 7 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (24 4 (:DEFINITION ALL-NILS))
 (22 22 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (22 22 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-2))
 (20 20 (:TYPE-PRESCRIPTION QUOTEP))
 (20 20 (:TYPE-PRESCRIPTION ALL-NILS))
 (20 20 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (20 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (18 18 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (16 16 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (14 14 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (14 14 (:REWRITE INTEGERP==>NUMERATOR-=-X))
 (14 14 (:REWRITE INTEGERP==>DENOMINATOR-=-1))
 (14 14 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (14 14 (:REWRITE DEFAULT-REALPART))
 (14 14 (:REWRITE DEFAULT-NUMERATOR))
 (14 14 (:REWRITE DEFAULT-IMAGPART))
 (14 14 (:REWRITE DEFAULT-DENOMINATOR))
 (14 14 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-0))
 (12 3 (:REWRITE AC-<))
 (12 2 (:REWRITE O-FIRST-EXPT-<))
 (11 11 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-1))
 (8 8 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (8 8 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (8 8 (:LINEAR BOUNDS-POSITION-EQUAL))
 (8 4 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (6 3 (:REWRITE O-INFP-O-FINP-O<=))
 (4 4 (:TYPE-PRESCRIPTION O-FINP))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 2 (:REWRITE O-FIRST-COEFF-<))
 (3 3 (:REWRITE |a < b & b < c  =>  a < c|))
 )
(RP::PP-TERM-P
 (21709 205 (:DEFINITION RP::EX-FROM-RP))
 (19356 3810 (:REWRITE RP::MEASURE-LEMMA1))
 (18990 526 (:REWRITE RP::NOT-INCLUDE-RP))
 (18332 226 (:DEFINITION RP::INCLUDE-FNC))
 (17164 1446 (:REWRITE RP::MEASURE-LEMMA1-2))
 (14327 141 (:DEFINITION APPLY$-BADGEP))
 (13751 165 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (6177 36 (:DEFINITION SUBSETP-EQUAL))
 (5765 4365 (:REWRITE DEFAULT-CDR))
 (5313 270 (:DEFINITION MEMBER-EQUAL))
 (4890 18 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (4315 9 (:DEFINITION TRUE-LISTP))
 (3600 45 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (3528 27 (:DEFINITION RP::RP-TERMP))
 (3315 144 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (3252 90 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (3233 1974 (:REWRITE DEFAULT-CAR))
 (2502 9 (:DEFINITION RP::FALIST-CONSISTENT))
 (1962 9 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (1353 1353 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (1285 271 (:DEFINITION QUOTEP))
 (1256 1256 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (1112 18 (:DEFINITION RP::RP-TERM-LISTP))
 (1052 120 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (939 66 (:DEFINITION NATP))
 (756 141 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (700 20 (:REWRITE RP::EX-FROM-RP-X2))
 (585 585 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (540 540 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (468 468 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (453 45 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (434 122 (:REWRITE O-P-O-INFP-CAR))
 (432 432 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (412 412 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (360 108 (:REWRITE RP::IS-IF-RP-TERMP))
 (288 288 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (252 252 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (222 99 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (206 81 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (144 36 (:REWRITE RP::RP-TERMP-CADDDR))
 (120 40 (:REWRITE RP::CONS-COUNT-ATOM))
 (108 108 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (108 108 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (108 36 (:REWRITE RP::RP-TERMP-CADR))
 (108 36 (:REWRITE RP::RP-TERMP-CADDR))
 (108 36 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (108 27 (:REWRITE RP::RP-TERMP-CADDDDR))
 (107 9 (:DEFINITION LEN))
 (104 104 (:REWRITE O-P-DEF-O-FINP-1))
 (104 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (104 4 (:REWRITE O<=-O-FINP-DEF))
 (99 99 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (90 90 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (90 9 (:DEFINITION ALL-NILS))
 (81 81 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (63 63 (:TYPE-PRESCRIPTION LEN))
 (63 9 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (51 51 (:REWRITE RP::EQUALITY-MEASURE-LEMMA3))
 (45 45 (:TYPE-PRESCRIPTION QUOTEP))
 (45 45 (:TYPE-PRESCRIPTION ALL-NILS))
 (45 45 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (43 43 (:REWRITE RP::EQUALITY-MEASURE-LEMMA2))
 (40 8 (:REWRITE RP::MEASURE-LEMMA7-2))
 (37 35 (:REWRITE DEFAULT-<-2))
 (37 35 (:REWRITE DEFAULT-<-1))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (35 35 (:REWRITE RP::EQUALITY-MEASURE-LEMMA1))
 (18 18 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (18 18 (:LINEAR LEN-WHEN-PREFIXP))
 (18 9 (:REWRITE DEFAULT-+-2))
 (12 4 (:REWRITE AC-<))
 (9 9 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (9 9 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (9 9 (:REWRITE DEFAULT-+-1))
 (9 9 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (9 9 (:LINEAR BOUNDS-POSITION-EQUAL))
 (8 4 (:REWRITE O-INFP-O-FINP-O<=))
 (4 4 (:REWRITE |a < b & b < c  =>  a < c|))
 )
(RP::CUT-LIST-BY-HALF)
(RP::TRUE-LISTP-OF-CUT-LIST-BY-HALF.FIRST
 (6102 21 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (5969 7 (:DEFINITION TRUE-LISTP))
 (4121 14 (:DEFINITION RP::RP-TERM-LISTP))
 (3932 28 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (3869 28 (:DEFINITION QUOTEP))
 (3792 14 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (3778 7 (:DEFINITION APPLY$-BADGEP))
 (3106 28 (:DEFINITION SUBSETP-EQUAL))
 (2546 210 (:DEFINITION MEMBER-EQUAL))
 (1960 28 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1883 7 (:DEFINITION RP::RP-TERMP))
 (1755 1755 (:REWRITE DEFAULT-CDR))
 (1715 70 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (1600 112 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1428 7 (:DEFINITION RP::FALIST-CONSISTENT))
 (1106 7 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (806 806 (:REWRITE DEFAULT-CAR))
 (420 420 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (364 364 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (336 336 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (294 84 (:REWRITE O-P-O-INFP-CAR))
 (259 259 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (224 224 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (196 196 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (140 140 (:TYPE-PRESCRIPTION O-P))
 (133 14 (:DEFINITION NATP))
 (91 91 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (84 35 (:REWRITE RP::IS-IF-RP-TERMP))
 (70 70 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (70 70 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (70 70 (:REWRITE O-P-DEF-O-FINP-1))
 (63 63 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (63 63 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (56 21 (:REWRITE RP::RP-TERMP-CADR))
 (49 49 (:TYPE-PRESCRIPTION LEN))
 (49 7 (:DEFINITION LEN))
 (47 40 (:REWRITE DEFAULT-+-2))
 (42 21 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (42 21 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (42 7 (:DEFINITION ALL-NILS))
 (40 40 (:REWRITE DEFAULT-+-1))
 (35 35 (:TYPE-PRESCRIPTION ALL-NILS))
 (35 35 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (35 7 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (28 28 (:TYPE-PRESCRIPTION QUOTEP))
 (28 14 (:REWRITE RP::RP-TERMP-CADDR))
 (28 14 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (28 7 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (21 21 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (21 21 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (14 7 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (14 7 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (7 7 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (7 7 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (7 7 (:REWRITE DEFAULT-<-2))
 (7 7 (:REWRITE DEFAULT-<-1))
 (7 7 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (7 7 (:LINEAR BOUNDS-POSITION-EQUAL))
 (6 6 (:REWRITE ZP-OPEN))
 )
(RP::TRUE-LISTP-OF-CUT-LIST-BY-HALF.SECOND
 (29611 91 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (20641 108 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (20396 108 (:DEFINITION QUOTEP))
 (20027 38 (:DEFINITION APPLY$-BADGEP))
 (19252 50 (:DEFINITION RP::RP-TERM-LISTP))
 (17981 74 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (16390 148 (:DEFINITION SUBSETP-EQUAL))
 (13430 1110 (:DEFINITION MEMBER-EQUAL))
 (9053 370 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (8440 592 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (8431 8431 (:REWRITE DEFAULT-CDR))
 (8152 108 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (7865 29 (:DEFINITION RP::RP-TERMP))
 (5916 29 (:DEFINITION RP::FALIST-CONSISTENT))
 (4582 29 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (3650 3650 (:REWRITE DEFAULT-CAR))
 (2220 2220 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2202 37 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (1924 1924 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (1776 1776 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (1218 348 (:REWRITE O-P-O-INFP-CAR))
 (1184 1184 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (1036 1036 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (728 74 (:DEFINITION NATP))
 (580 580 (:TYPE-PRESCRIPTION O-P))
 (396 157 (:REWRITE RP::IS-IF-RP-TERMP))
 (388 388 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (370 370 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (349 349 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (290 290 (:REWRITE O-P-DEF-O-FINP-1))
 (261 261 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (259 259 (:TYPE-PRESCRIPTION LEN))
 (259 37 (:DEFINITION LEN))
 (257 257 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (240 203 (:REWRITE DEFAULT-+-2))
 (232 87 (:REWRITE RP::RP-TERMP-CADR))
 (230 115 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (222 111 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (222 37 (:DEFINITION ALL-NILS))
 (203 203 (:REWRITE DEFAULT-+-1))
 (185 185 (:TYPE-PRESCRIPTION ALL-NILS))
 (152 38 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (145 29 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (137 137 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (132 62 (:REWRITE RP::RP-TERMP-CADDR))
 (132 62 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (111 111 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (108 108 (:TYPE-PRESCRIPTION QUOTEP))
 (107 49 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (91 91 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (82 82 (:LINEAR LEN-WHEN-PREFIXP))
 (58 58 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (41 41 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (41 41 (:LINEAR BOUNDS-POSITION-EQUAL))
 (37 37 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (37 37 (:REWRITE DEFAULT-<-2))
 (37 37 (:REWRITE DEFAULT-<-1))
 (32 8 (:REWRITE RP::RP-TERMP-CADDDR))
 (29 29 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (11 11 (:REWRITE ZP-OPEN))
 )
(RP::CUT-LIST-BY-HALF-RETURNS-PP-LISTS
 (22828 63 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (21190 21 (:DEFINITION TRUE-LISTP))
 (15457 42 (:DEFINITION RP::RP-TERM-LISTP))
 (15016 147 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (14365 147 (:DEFINITION QUOTEP))
 (13903 84 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (13840 88 (:DEFINITION APPLY$-BADGEP))
 (11526 84 (:DEFINITION SUBSETP-EQUAL))
 (9846 630 (:DEFINITION MEMBER-EQUAL))
 (6762 147 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (6741 63 (:DEFINITION RP::RP-TERMP))
 (6180 336 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (6125 6125 (:REWRITE DEFAULT-CDR))
 (6111 210 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (4284 21 (:DEFINITION RP::FALIST-CONSISTENT))
 (3683 3683 (:REWRITE DEFAULT-CAR))
 (3318 21 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (1554 1554 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (1260 1260 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1092 1092 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (1008 1008 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (966 273 (:REWRITE O-P-O-INFP-CAR))
 (672 672 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (672 189 (:REWRITE RP::IS-IF-RP-TERMP))
 (588 588 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (508 42 (:DEFINITION NATP))
 (462 462 (:TYPE-PRESCRIPTION O-P))
 (462 462 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (357 357 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (328 328 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (273 84 (:REWRITE RP::RP-TERMP-CADR))
 (259 229 (:REWRITE DEFAULT-+-2))
 (231 231 (:REWRITE O-P-DEF-O-FINP-1))
 (229 229 (:REWRITE DEFAULT-+-1))
 (218 88 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (210 210 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (210 42 (:REWRITE RP::RP-TERMP-CADDDR))
 (200 200 (:REWRITE ZP-OPEN))
 (189 189 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (189 63 (:REWRITE RP::RP-TERMP-CADDR))
 (189 63 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (151 63 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (147 147 (:TYPE-PRESCRIPTION QUOTEP))
 (147 42 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (126 63 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (126 63 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (126 21 (:DEFINITION ALL-NILS))
 (105 105 (:TYPE-PRESCRIPTION ALL-NILS))
 (105 105 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (105 21 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (63 63 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (63 63 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (56 56 (:LINEAR LEN-WHEN-PREFIXP))
 (52 31 (:REWRITE DEFAULT-<-1))
 (42 42 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (42 42 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (40 31 (:REWRITE DEFAULT-<-2))
 (29 29 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (28 28 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (28 28 (:LINEAR BOUNDS-POSITION-EQUAL))
 (21 21 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (14 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (7 7 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (7 7 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::SORT-MEASURE-LEMMA1
 (101 56 (:REWRITE DEFAULT-PLUS-2))
 (66 56 (:REWRITE DEFAULT-PLUS-1))
 (36 36 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (22 22 (:REWRITE DEFAULT-CDR))
 (18 18 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (15 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (11 7 (:REWRITE DEFAULT-LESS-THAN-1))
 (9 9 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (9 9 (:LINEAR BOUNDS-POSITION-EQUAL))
 (9 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (9 5 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (8 5 (:REWRITE SIMPLIFY-SUMS-<))
 (7 7 (:REWRITE THE-FLOOR-BELOW))
 (7 7 (:REWRITE THE-FLOOR-ABOVE))
 (7 7 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (7 7 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (7 7 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (7 7 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (7 7 (:REWRITE INTEGERP-<-CONSTANT))
 (7 7 (:REWRITE DEFAULT-LESS-THAN-2))
 (7 7 (:REWRITE CONSTANT-<-INTEGERP))
 (7 7 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (7 7 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (7 7 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (7 7 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (7 7 (:REWRITE |(< c (- x))|))
 (7 7 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (7 7 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (7 7 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (7 7 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (7 7 (:REWRITE |(< (/ x) (/ y))|))
 (7 7 (:REWRITE |(< (- x) c)|))
 (7 7 (:REWRITE |(< (- x) (- y))|))
 (6 6 (:REWRITE |(+ c (+ d x))|))
 (6 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (5 5 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (5 5 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (5 5 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (5 5 (:REWRITE |(equal c (/ x))|))
 (5 5 (:REWRITE |(equal c (- x))|))
 (5 5 (:REWRITE |(equal (/ x) c)|))
 (5 5 (:REWRITE |(equal (/ x) (/ y))|))
 (5 5 (:REWRITE |(equal (- x) c)|))
 (5 5 (:REWRITE |(equal (- x) (- y))|))
 (5 5 (:REWRITE |(equal (+ (- c) x) y)|))
 (4 4 (:REWRITE |(< (/ x) 0)|))
 (4 4 (:REWRITE |(< (* x y) 0)|))
 (3 3 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (3 3 (:REWRITE FOLD-CONSTS-IN-+))
 (3 3 (:REWRITE DEFAULT-MINUS))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE |(< (if a b c) x)|))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE |(< y (+ (- c) x))|))
 (1 1 (:REWRITE |(< x (+ c/d y))|))
 (1 1 (:REWRITE |(< (+ c/d x) y)|))
 (1 1 (:REWRITE |(< (+ (- c) x) y)|))
 )
(RP::SORT-MEASURE-LEMMA1-V2
 (30 18 (:REWRITE DEFAULT-PLUS-2))
 (18 18 (:REWRITE DEFAULT-PLUS-1))
 (16 16 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (16 16 (:REWRITE NORMALIZE-ADDENDS))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:REWRITE DEFAULT-CDR))
 (11 7 (:REWRITE DEFAULT-LESS-THAN-1))
 (9 9 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (9 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (9 5 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (8 5 (:REWRITE SIMPLIFY-SUMS-<))
 (7 7 (:REWRITE THE-FLOOR-BELOW))
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(RP::SORT-MEASURE-LEMMA2
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(RP::SORT-MEASURE-LEMMA2-V2-
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 (2 1 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
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 )
(RP::SORT-MEASURE-LEMMA3
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 (21 3 (:DEFINITION LEN))
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 (3 3 (:REWRITE |(floor x 2)| . 2))
 (3 3 (:REWRITE |(< 0 (* x y))|))
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 (2 2 (:REWRITE |(< x (+ c/d y))|))
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 (1 1 (:REWRITE |(* (- x) y)|))
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(RP::SORT-MEASURE-LEMMA4
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 (5 1 (:TYPE-PRESCRIPTION FLOOR-ZERO . 4))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
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 (5 1 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 )
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(RP::LEN-OF-CUT-LIST-BY-HALF-FIRST
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 (15 3 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
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 (2 2 (:REWRITE |(* (- x) y)|))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL))
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(RP::O<-FLOOR
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 (140 2 (:REWRITE |(< (+ c/d x) y)|))
 (113 1 (:REWRITE |(< (+ (- c) x) y)|))
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 (32 4 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (28 2 (:REWRITE |(+ y (+ x z))|))
 (23 8 (:REWRITE NORMALIZE-ADDENDS))
 (18 10 (:REWRITE DEFAULT-LESS-THAN-1))
 (17 17 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
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 (8 1 (:REWRITE |(* x (+ y z))|))
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 (612 612 (:TYPE-PRESCRIPTION PREFIXP))
 (608 485 (:REWRITE DEFAULT-<-1))
 (561 561 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (480 480 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (416 416 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (384 384 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (368 146 (:REWRITE O-P-O-INFP-CAR))
 (336 40 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (330 8 (:DEFINITION ALL-NILS))
 (320 96 (:REWRITE RP::IS-IF-RP-TERMP))
 (256 256 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (236 236 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (236 236 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (236 236 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (236 236 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (224 224 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (216 216 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (216 16 (:DEFINITION NATP))
 (216 8 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (212 44 (:DEFINITION QUOTEP))
 (181 181 (:REWRITE RP::EQUALITY-MEASURE-LEMMA2))
 (128 32 (:REWRITE RP::RP-TERMP-CADDDR))
 (104 26 (:REWRITE RP::RP-TERMP-CADDDDR))
 (96 96 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (96 96 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (96 32 (:REWRITE RP::RP-TERMP-CADR))
 (96 32 (:REWRITE RP::RP-TERMP-CADDR))
 (96 32 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (80 80 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (80 36 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (72 72 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (40 40 (:TYPE-PRESCRIPTION QUOTEP))
 (40 40 (:TYPE-PRESCRIPTION ALL-NILS))
 (40 40 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (36 18 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (32 32 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (24 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (20 20 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (18 18 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (16 16 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (12 12 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (12 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (8 8 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (8 4 (:DEFINITION ATOM))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(RP::PP-LISTS-P-OF-SORT-PP-LISTS
 (69309 123 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (63639 41 (:DEFINITION TRUE-LISTP))
 (40914 128 (:DEFINITION RP::RP-TERM-LISTP))
 (38659 369 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (36194 369 (:DEFINITION QUOTEP))
 (35113 296 (:DEFINITION APPLY$-BADGEP))
 (35082 210 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (29518 164 (:DEFINITION SUBSETP-EQUAL))
 (29101 135 (:DEFINITION RP::RP-TERMP))
 (27889 369 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (25090 1230 (:DEFINITION MEMBER-EQUAL))
 (19311 41 (:DEFINITION RP::FALIST-CONSISTENT))
 (15650 656 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (15510 410 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (15088 41 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (3714 1980 (:REWRITE DEFAULT-<-2))
 (3438 3438 (:LINEAR LEN-WHEN-PREFIXP))
 (2929 835 (:REWRITE O-P-O-INFP-CAR))
 (2460 2460 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2132 2132 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (2017 2017 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1980 1980 (:REWRITE DEFAULT-<-1))
 (1968 1968 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (1719 1719 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (1719 1719 (:LINEAR BOUNDS-POSITION-EQUAL))
 (1636 517 (:REWRITE RP::IS-IF-RP-TERMP))
 (1369 296 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (1312 1312 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (1150 410 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (1148 1148 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1088 1088 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (1063 1063 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (986 82 (:DEFINITION NATP))
 (862 616 (:REWRITE O-P-DEF-O-FINP-1))
 (859 859 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (797 312 (:REWRITE RP::RP-TERMP-CADR))
 (738 41 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (533 41 (:DEFINITION ALL-NILS))
 (470 82 (:REWRITE RP::RP-TERMP-CADDDR))
 (410 410 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (399 123 (:REWRITE RP::RP-TERMP-CADDR))
 (399 123 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (369 369 (:TYPE-PRESCRIPTION QUOTEP))
 (369 369 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (289 123 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (287 82 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (251 251 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (246 246 (:TYPE-PRESCRIPTION O-FINP))
 (246 123 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (205 205 (:TYPE-PRESCRIPTION ALL-NILS))
 (151 151 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (134 67 (:REWRITE DEFAULT-UNARY-MINUS))
 (134 67 (:REWRITE DEFAULT-+-2))
 (123 123 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (123 123 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (82 82 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (67 67 (:REWRITE DEFAULT-+-1))
 (41 41 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 )
(RP::SORT-PP-LISTS
 (21468 41 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (19020 13 (:DEFINITION TRUE-LISTP))
 (13586 74 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (13202 72 (:DEFINITION QUOTEP))
 (13103 60 (:DEFINITION APPLY$-BADGEP))
 (12557 25 (:DEFINITION RP::RP-TERM-LISTP))
 (11432 62 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (10762 68 (:DEFINITION SUBSETP-EQUAL))
 (8910 510 (:DEFINITION MEMBER-EQUAL))
 (7187 25 (:DEFINITION RP::RP-TERMP))
 (7149 74 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (5870 170 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (5512 272 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (5193 11 (:DEFINITION RP::FALIST-CONSISTENT))
 (5094 4057 (:REWRITE DEFAULT-CDR))
 (4048 11 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (3920 2199 (:REWRITE DEFAULT-CAR))
 (1641 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (1093 599 (:REWRITE DEFAULT-<-2))
 (1024 1024 (:LINEAR LEN-WHEN-PREFIXP))
 (1020 1020 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (920 217 (:REWRITE O-P-O-INFP-CAR))
 (884 884 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (816 816 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (762 762 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (636 636 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (615 60 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (601 599 (:REWRITE DEFAULT-<-1))
 (544 544 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (512 512 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (512 512 (:LINEAR BOUNDS-POSITION-EQUAL))
 (490 150 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (476 476 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (370 2 (:DEFINITION RP::SORT-PP-LISTS))
 (358 104 (:REWRITE RP::IS-IF-RP-TERMP))
 (351 351 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (333 185 (:REWRITE O-P-DEF-O-FINP-1))
 (228 228 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (225 17 (:DEFINITION ALL-NILS))
 (202 11 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (190 190 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (170 170 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (164 55 (:REWRITE RP::RP-TERMP-CADR))
 (148 148 (:TYPE-PRESCRIPTION O-FINP))
 (102 51 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (99 99 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (98 31 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (96 18 (:REWRITE RP::RP-TERMP-CADDDR))
 (92 31 (:REWRITE RP::RP-TERMP-CADDR))
 (85 85 (:TYPE-PRESCRIPTION ALL-NILS))
 (83 37 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (72 72 (:TYPE-PRESCRIPTION QUOTEP))
 (58 58 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (51 51 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (41 41 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (22 22 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (19 9 (:REWRITE DEFAULT-+-2))
 (16 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (11 11 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (11 9 (:REWRITE DEFAULT-+-1))
 (10 2 (:REWRITE RP::SORT-MEASURE-LEMMA1-V2))
 (10 1 (:REWRITE ASSOCIATIVITY-OF-+))
 (6 6 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (1 1 (:REWRITE FOLD-CONSTS-IN-+))
 )
(RP::AND$-PP-LISTS-AUX
 (12003 34 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (10634 11 (:DEFINITION TRUE-LISTP))
 (8304 67 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (7919 66 (:DEFINITION QUOTEP))
 (7900 20 (:DEFINITION RP::RP-TERM-LISTP))
 (7683 37 (:DEFINITION APPLY$-BADGEP))
 (7158 42 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (6382 52 (:DEFINITION SUBSETP-EQUAL))
 (5342 390 (:DEFINITION MEMBER-EQUAL))
 (3459 130 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (3352 208 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (3341 3249 (:REWRITE DEFAULT-CDR))
 (3264 28 (:DEFINITION RP::RP-TERMP))
 (3189 67 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2062 12 (:DEFINITION RP::FALIST-CONSISTENT))
 (1833 1833 (:REWRITE DEFAULT-CAR))
 (1580 10 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (780 780 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (676 676 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (627 21 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (624 624 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (574 160 (:REWRITE O-P-O-INFP-CAR))
 (416 416 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (403 101 (:REWRITE RP::IS-IF-RP-TERMP))
 (364 364 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (292 26 (:DEFINITION NATP))
 (222 222 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (211 52 (:REWRITE RP::RP-TERMP-CADR))
 (170 170 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (170 170 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (138 138 (:REWRITE O-P-DEF-O-FINP-1))
 (130 130 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (112 37 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (98 31 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (96 18 (:REWRITE RP::RP-TERMP-CADDDR))
 (92 31 (:REWRITE RP::RP-TERMP-CADDR))
 (90 90 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (78 78 (:TYPE-PRESCRIPTION LEN))
 (78 39 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (78 13 (:DEFINITION ALL-NILS))
 (73 32 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (66 66 (:TYPE-PRESCRIPTION QUOTEP))
 (65 65 (:TYPE-PRESCRIPTION ALL-NILS))
 (60 12 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (54 27 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (52 52 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (39 39 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (34 34 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (28 28 (:LINEAR LEN-WHEN-PREFIXP))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (14 14 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (14 14 (:LINEAR BOUNDS-POSITION-EQUAL))
 (13 13 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (13 13 (:REWRITE DEFAULT-<-2))
 (13 13 (:REWRITE DEFAULT-<-1))
 (12 12 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 2 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 )
(RP::PP-LISTS-P-OF-AND$-PP-LISTS-AUX
 (44965 132 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (41497 44 (:DEFINITION TRUE-LISTP))
 (29590 94 (:DEFINITION RP::RP-TERM-LISTP))
 (28816 294 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (27274 294 (:DEFINITION QUOTEP))
 (26336 162 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (26175 159 (:DEFINITION APPLY$-BADGEP))
 (21595 176 (:DEFINITION SUBSETP-EQUAL))
 (18075 1320 (:DEFINITION MEMBER-EQUAL))
 (14311 124 (:DEFINITION RP::RP-TERMP))
 (14100 294 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (12287 12285 (:REWRITE DEFAULT-CDR))
 (11698 440 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (11356 704 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (9108 48 (:DEFINITION RP::FALIST-CONSISTENT))
 (7040 44 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (6895 6891 (:REWRITE DEFAULT-CAR))
 (2640 2640 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2288 2288 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (2112 2112 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (2000 566 (:REWRITE O-P-O-INFP-CAR))
 (1526 436 (:REWRITE RP::IS-IF-RP-TERMP))
 (1408 1408 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (1232 1232 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1103 88 (:DEFINITION NATP))
 (928 928 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (782 242 (:REWRITE RP::RP-TERMP-CADR))
 (740 740 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (665 665 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (592 592 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (478 478 (:REWRITE O-P-DEF-O-FINP-1))
 (440 440 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (417 159 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (396 396 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (384 126 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (376 68 (:REWRITE RP::RP-TERMP-CADDDR))
 (372 126 (:REWRITE RP::RP-TERMP-CADDR))
 (299 112 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (294 294 (:TYPE-PRESCRIPTION QUOTEP))
 (291 132 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (276 78 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (264 264 (:TYPE-PRESCRIPTION LEN))
 (264 44 (:DEFINITION ALL-NILS))
 (240 48 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (230 230 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (220 220 (:TYPE-PRESCRIPTION ALL-NILS))
 (194 88 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (132 132 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (132 132 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (96 96 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (88 88 (:LINEAR LEN-WHEN-PREFIXP))
 (48 48 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (44 44 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (44 44 (:REWRITE DEFAULT-<-2))
 (44 44 (:REWRITE DEFAULT-<-1))
 (44 44 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (44 44 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::AND$-PP-LISTS
 (58079 160 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (53361 53 (:DEFINITION TRUE-LISTP))
 (39197 108 (:DEFINITION RP::RP-TERM-LISTP))
 (38720 360 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (36983 359 (:DEFINITION QUOTEP))
 (35650 205 (:DEFINITION APPLY$-BADGEP))
 (35277 208 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (29915 220 (:DEFINITION SUBSETP-EQUAL))
 (25515 1650 (:DEFINITION MEMBER-EQUAL))
 (16903 154 (:DEFINITION RP::RP-TERMP))
 (16802 360 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (16516 15636 (:REWRITE DEFAULT-CDR))
 (16016 880 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (15901 550 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (10702 54 (:DEFINITION RP::FALIST-CONSISTENT))
 (9624 9423 (:REWRITE DEFAULT-CAR))
 (8288 52 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (3483 1098 (:REWRITE O-P-O-INFP-CAR))
 (3300 3300 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2860 2860 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (2640 2640 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (1770 504 (:REWRITE RP::IS-IF-RP-TERMP))
 (1760 1760 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (1540 1540 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1364 110 (:DEFINITION NATP))
 (1148 1148 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (920 102 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (888 888 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (807 254 (:REWRITE RP::RP-TERMP-CADR))
 (795 795 (:REWRITE O-P-DEF-O-FINP-1))
 (776 776 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (550 550 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (541 205 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (504 96 (:REWRITE RP::RP-TERMP-CADDDR))
 (496 496 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (470 154 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (468 468 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (464 154 (:REWRITE RP::RP-TERMP-CADDR))
 (387 152 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (359 359 (:TYPE-PRESCRIPTION QUOTEP))
 (351 165 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (330 330 (:TYPE-PRESCRIPTION LEN))
 (330 55 (:DEFINITION ALL-NILS))
 (275 275 (:TYPE-PRESCRIPTION ALL-NILS))
 (270 54 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (266 266 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (236 111 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (165 165 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (160 160 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (112 112 (:LINEAR LEN-WHEN-PREFIXP))
 (108 108 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (56 56 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (56 56 (:LINEAR BOUNDS-POSITION-EQUAL))
 (55 55 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (55 55 (:REWRITE DEFAULT-<-2))
 (55 55 (:REWRITE DEFAULT-<-1))
 (54 54 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 )
(RP::PP-LISTS-P-OF-AND$-PP-LISTS
 (48044 135 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (43900 45 (:DEFINITION TRUE-LISTP))
 (31612 96 (:DEFINITION RP::RP-TERM-LISTP))
 (30883 331 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (29088 331 (:DEFINITION QUOTEP))
 (28010 186 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (27830 195 (:DEFINITION APPLY$-BADGEP))
 (22971 180 (:DEFINITION SUBSETP-EQUAL))
 (19371 1350 (:DEFINITION MEMBER-EQUAL))
 (15174 147 (:DEFINITION RP::RP-TERMP))
 (14862 331 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (12956 12956 (:REWRITE DEFAULT-CDR))
 (12353 450 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (12168 720 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (9328 49 (:DEFINITION RP::FALIST-CONSISTENT))
 (7714 7714 (:REWRITE DEFAULT-CAR))
 (7214 45 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (2700 2700 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2340 2340 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (2160 2160 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (2086 589 (:REWRITE O-P-O-INFP-CAR))
 (1758 485 (:REWRITE RP::IS-IF-RP-TERMP))
 (1440 1440 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (1260 1260 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1199 90 (:DEFINITION NATP))
 (1080 1080 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (845 256 (:REWRITE RP::RP-TERMP-CADR))
 (797 797 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (725 725 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (663 663 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (499 499 (:REWRITE O-P-DEF-O-FINP-1))
 (493 195 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (486 90 (:REWRITE RP::RP-TERMP-CADDDR))
 (450 450 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (443 139 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (431 139 (:REWRITE RP::RP-TERMP-CADDR))
 (405 405 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (366 135 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (337 90 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (331 331 (:TYPE-PRESCRIPTION QUOTEP))
 (303 135 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (270 270 (:TYPE-PRESCRIPTION LEN))
 (270 45 (:DEFINITION ALL-NILS))
 (245 49 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (235 235 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (225 225 (:TYPE-PRESCRIPTION ALL-NILS))
 (202 90 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (135 135 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (135 135 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (124 62 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (98 98 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (90 90 (:LINEAR LEN-WHEN-PREFIXP))
 (49 49 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (45 45 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (45 45 (:REWRITE DEFAULT-<-2))
 (45 45 (:REWRITE DEFAULT-<-1))
 (45 45 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (45 45 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::APPEND-OF-PP-LIST-P
 (12430 36 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (11506 12 (:DEFINITION TRUE-LISTP))
 (8236 24 (:DEFINITION RP::RP-TERM-LISTP))
 (7996 84 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (7627 84 (:DEFINITION QUOTEP))
 (7363 48 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (7327 51 (:DEFINITION APPLY$-BADGEP))
 (6088 48 (:DEFINITION SUBSETP-EQUAL))
 (5128 360 (:DEFINITION MEMBER-EQUAL))
 (3849 84 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (3840 36 (:DEFINITION RP::RP-TERMP))
 (3462 3438 (:REWRITE DEFAULT-CDR))
 (3274 120 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (3220 192 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (2448 12 (:DEFINITION RP::FALIST-CONSISTENT))
 (2104 2095 (:REWRITE DEFAULT-CAR))
 (1896 12 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (720 720 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (624 624 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (576 576 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (540 153 (:REWRITE O-P-O-INFP-CAR))
 (384 384 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (372 108 (:REWRITE RP::IS-IF-RP-TERMP))
 (336 336 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (291 24 (:DEFINITION NATP))
 (258 258 (:TYPE-PRESCRIPTION O-P))
 (231 231 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (204 204 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (174 174 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (153 48 (:REWRITE RP::RP-TERMP-CADR))
 (129 129 (:REWRITE O-P-DEF-O-FINP-1))
 (126 51 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (120 120 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (114 24 (:REWRITE RP::RP-TERMP-CADDDR))
 (108 108 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (105 36 (:REWRITE RP::RP-TERMP-CADDR))
 (105 36 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (87 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (84 84 (:TYPE-PRESCRIPTION QUOTEP))
 (84 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (72 72 (:TYPE-PRESCRIPTION LEN))
 (72 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (72 12 (:DEFINITION ALL-NILS))
 (60 60 (:TYPE-PRESCRIPTION ALL-NILS))
 (60 60 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (60 12 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (48 24 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (41 41 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (36 36 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (36 36 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (34 17 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (27 9 (:REWRITE CAR-OF-APPEND))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (24 24 (:LINEAR LEN-WHEN-PREFIXP))
 (17 17 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (12 12 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (12 12 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (12 12 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (12 12 (:LINEAR BOUNDS-POSITION-EQUAL))
 (6 6 (:REWRITE CONSP-OF-APPEND))
 (5 5 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (3 3 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(RP::PP-LISTS-P-IMPLIES-TRUE-LISTP
 (4778 15 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (4506 5 (:DEFINITION TRUE-LISTP))
 (3159 10 (:DEFINITION RP::RP-TERM-LISTP))
 (3042 29 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (2931 29 (:DEFINITION QUOTEP))
 (2843 16 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (2830 15 (:DEFINITION APPLY$-BADGEP))
 (2342 20 (:DEFINITION SUBSETP-EQUAL))
 (1942 150 (:DEFINITION MEMBER-EQUAL))
 (1526 29 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1501 11 (:DEFINITION RP::RP-TERMP))
 (1332 1332 (:REWRITE DEFAULT-CDR))
 (1279 50 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (1220 80 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1020 5 (:DEFINITION RP::FALIST-CONSISTENT))
 (790 5 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (726 726 (:REWRITE DEFAULT-CAR))
 (300 300 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (260 260 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (240 240 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (222 63 (:REWRITE O-P-O-INFP-CAR))
 (160 160 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (140 140 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (120 37 (:REWRITE RP::IS-IF-RP-TERMP))
 (111 10 (:DEFINITION NATP))
 (106 106 (:TYPE-PRESCRIPTION O-P))
 (84 84 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (77 77 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (61 61 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (55 18 (:REWRITE RP::RP-TERMP-CADR))
 (53 53 (:REWRITE O-P-DEF-O-FINP-1))
 (50 50 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (45 45 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (40 15 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (35 13 (:REWRITE RP::RP-TERMP-CADDR))
 (35 13 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (30 30 (:TYPE-PRESCRIPTION LEN))
 (30 15 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (30 6 (:REWRITE RP::RP-TERMP-CADDDR))
 (30 5 (:DEFINITION ALL-NILS))
 (29 29 (:TYPE-PRESCRIPTION QUOTEP))
 (26 11 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (25 25 (:TYPE-PRESCRIPTION ALL-NILS))
 (25 25 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (25 8 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (25 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (20 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (15 15 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (15 15 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (10 10 (:LINEAR LEN-WHEN-PREFIXP))
 (5 5 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (5 5 (:REWRITE DEFAULT-<-2))
 (5 5 (:REWRITE DEFAULT-<-1))
 (5 5 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (5 5 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::APPLY-SIGN-TO-PP-LISTS)
(RP::PP-LISTS-P-OF-APPLY-SIGN-TO-PP-LISTS
 (23972 66 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (21764 22 (:DEFINITION TRUE-LISTP))
 (15785 50 (:DEFINITION RP::RP-TERM-LISTP))
 (15441 168 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (14478 168 (:DEFINITION QUOTEP))
 (13916 94 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (13805 99 (:DEFINITION APPLY$-BADGEP))
 (11335 88 (:DEFINITION SUBSETP-EQUAL))
 (9575 660 (:DEFINITION MEMBER-EQUAL))
 (7631 76 (:DEFINITION RP::RP-TERMP))
 (7405 168 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (6412 6411 (:REWRITE DEFAULT-CDR))
 (6090 220 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (6016 352 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (4598 24 (:DEFINITION RP::FALIST-CONSISTENT))
 (3738 3735 (:REWRITE DEFAULT-CAR))
 (3564 22 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (1320 1320 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1144 1144 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (1056 1056 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (1020 288 (:REWRITE O-P-O-INFP-CAR))
 (919 263 (:REWRITE RP::IS-IF-RP-TERMP))
 (704 704 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (637 44 (:DEFINITION NATP))
 (616 616 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (557 557 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (460 151 (:REWRITE RP::RP-TERMP-CADR))
 (402 402 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (326 326 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (253 99 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (250 44 (:REWRITE RP::RP-TERMP-CADDDR))
 (244 244 (:REWRITE O-P-DEF-O-FINP-1))
 (223 68 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (220 220 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (217 68 (:REWRITE RP::RP-TERMP-CADDR))
 (198 198 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (197 66 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (176 44 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (168 168 (:TYPE-PRESCRIPTION QUOTEP))
 (165 66 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (132 132 (:TYPE-PRESCRIPTION LEN))
 (132 22 (:DEFINITION ALL-NILS))
 (120 24 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (118 118 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (110 110 (:TYPE-PRESCRIPTION ALL-NILS))
 (110 44 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (66 66 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (66 66 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (48 48 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (44 44 (:LINEAR LEN-WHEN-PREFIXP))
 (24 24 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (22 22 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (22 22 (:REWRITE DEFAULT-<-2))
 (22 22 (:REWRITE DEFAULT-<-1))
 (22 22 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (22 22 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::PP-TERM-TO-PP-LISTS
 (398 388 (:REWRITE RP::MEASURE-LEMMA1))
 (382 132 (:REWRITE RP::MEASURE-LEMMA1-2))
 (197 129 (:REWRITE DEFAULT-CDR))
 (120 40 (:REWRITE RP::CONS-COUNT-ATOM))
 (104 4 (:REWRITE O<=-O-FINP-DEF))
 (40 10 (:REWRITE O-P-O-INFP-CAR))
 (40 8 (:REWRITE RP::MEASURE-LEMMA7-2))
 (20 20 (:REWRITE RP::EX-FROM-RP-X2))
 (20 20 (:REWRITE DEFAULT-CAR))
 (18 18 (:REWRITE RP::EQUALITY-MEASURE-LEMMA3))
 (12 4 (:REWRITE AC-<))
 (10 10 (:REWRITE O-P-DEF-O-FINP-1))
 (10 10 (:REWRITE RP::EQUALITY-MEASURE-LEMMA2))
 (8 4 (:REWRITE O-INFP-O-FINP-O<=))
 (4 4 (:REWRITE |a < b & b < c  =>  a < c|))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE RP::EQUALITY-MEASURE-LEMMA1))
 )
(RP::PP-LISTS-P-OF-PP-TERM-TO-PP-LISTS
 (829392 2418 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (766500 806 (:DEFINITION TRUE-LISTP))
 (546408 1612 (:DEFINITION RP::RP-TERM-LISTP))
 (529500 5642 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (504508 5642 (:DEFINITION QUOTEP))
 (486752 3224 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (484316 3446 (:DEFINITION APPLY$-BADGEP))
 (400974 3224 (:DEFINITION SUBSETP-EQUAL))
 (336494 24180 (:DEFINITION MEMBER-EQUAL))
 (259592 5642 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (258792 2418 (:DEFINITION RP::RP-TERMP))
 (216462 8060 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (211266 12896 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (164472 806 (:DEFINITION RP::FALIST-CONSISTENT))
 (127396 806 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (48360 48360 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (41912 41912 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (38688 38688 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (37472 10544 (:REWRITE O-P-O-INFP-CAR))
 (25792 25792 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (25792 7254 (:REWRITE RP::IS-IF-RP-TERMP))
 (22568 22568 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (19626 1612 (:DEFINITION NATP))
 (17732 17732 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (13702 13702 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (11646 11646 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (10478 3224 (:REWRITE RP::RP-TERMP-CADR))
 (9064 8932 (:REWRITE O-P-DEF-O-FINP-1))
 (8510 3446 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (8060 8060 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (8060 1612 (:REWRITE RP::RP-TERMP-CADDDR))
 (7254 7254 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (7254 2418 (:REWRITE RP::RP-TERMP-CADDR))
 (7254 2418 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (5888 2418 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (5654 1612 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (5642 5642 (:TYPE-PRESCRIPTION QUOTEP))
 (4854 2418 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (4836 4836 (:TYPE-PRESCRIPTION LEN))
 (4836 806 (:DEFINITION ALL-NILS))
 (4030 4030 (:TYPE-PRESCRIPTION ALL-NILS))
 (4030 4030 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (4030 806 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (3236 1612 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (2418 2418 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (2418 2418 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (1612 1612 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1612 1612 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (1612 1612 (:LINEAR LEN-WHEN-PREFIXP))
 (964 964 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (806 806 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (806 806 (:REWRITE DEFAULT-<-2))
 (806 806 (:REWRITE DEFAULT-<-1))
 (806 806 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (806 806 (:LINEAR BOUNDS-POSITION-EQUAL))
 (222 222 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (132 132 (:TYPE-PRESCRIPTION O-FINP))
 )
(RP::PP-TERM-TO-PP-LISTS
 (88975 51 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (87643 17 (:DEFINITION TRUE-LISTP))
 (82984 34 (:DEFINITION RP::RP-TERM-LISTP))
 (82631 119 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (82102 119 (:DEFINITION QUOTEP))
 (81722 68 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (81671 68 (:DEFINITION APPLY$-BADGEP))
 (79904 68 (:DEFINITION SUBSETP-EQUAL))
 (78544 510 (:DEFINITION MEMBER-EQUAL))
 (71070 618 (:DEFINITION RP::PP-TERM-TO-PP-LISTS))
 (49112 272 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (40279 40279 (:REWRITE DEFAULT-CDR))
 (35825 170 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (25593 25593 (:REWRITE DEFAULT-CAR))
 (5494 119 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (5479 51 (:DEFINITION RP::RP-TERMP))
 (3484 17 (:DEFINITION RP::FALIST-CONSISTENT))
 (3110 3110 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (2702 17 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (1020 1020 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (884 884 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (816 816 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (782 221 (:REWRITE O-P-O-INFP-CAR))
 (544 544 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (544 153 (:REWRITE RP::IS-IF-RP-TERMP))
 (476 476 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (414 34 (:DEFINITION NATP))
 (374 374 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (289 289 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (255 255 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (221 68 (:REWRITE RP::RP-TERMP-CADR))
 (187 187 (:REWRITE O-P-DEF-O-FINP-1))
 (172 68 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (170 170 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (170 34 (:REWRITE RP::RP-TERMP-CADDDR))
 (153 153 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (153 51 (:REWRITE RP::RP-TERMP-CADDR))
 (153 51 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (123 51 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (119 119 (:TYPE-PRESCRIPTION QUOTEP))
 (119 34 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (102 51 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (102 17 (:DEFINITION ALL-NILS))
 (85 85 (:TYPE-PRESCRIPTION ALL-NILS))
 (85 85 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (85 17 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (68 34 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (51 51 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (51 51 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (34 34 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (34 34 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (34 34 (:LINEAR LEN-WHEN-PREFIXP))
 (17 17 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (17 17 (:REWRITE DEFAULT-<-2))
 (17 17 (:REWRITE DEFAULT-<-1))
 (17 17 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (17 17 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::PP-LISTS-TO-TERM-AND$)
(RP::PP-LISTS-TO-TERM-P+
 (10004 26 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (8240 8 (:DEFINITION TRUE-LISTP))
 (7690 42 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (7310 40 (:DEFINITION QUOTEP))
 (7164 24 (:DEFINITION APPLY$-BADGEP))
 (6576 12 (:DEFINITION RP::RP-TERM-LISTP))
 (6074 32 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (5976 48 (:DEFINITION SUBSETP-EQUAL))
 (5016 360 (:DEFINITION MEMBER-EQUAL))
 (3236 120 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (3144 192 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (2827 2643 (:REWRITE DEFAULT-CDR))
 (2138 18 (:DEFINITION RP::RP-TERMP))
 (1954 42 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1471 1463 (:REWRITE DEFAULT-CAR))
 (1268 10 (:DEFINITION RP::FALIST-CONSISTENT))
 (1166 16 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (948 6 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (720 720 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (624 624 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (576 576 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (524 143 (:REWRITE O-P-O-INFP-CAR))
 (398 84 (:REWRITE RP::IS-IF-RP-TERMP))
 (384 384 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (336 336 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (258 24 (:DEFINITION NATP))
 (250 50 (:REWRITE RP::RP-TERMP-CADR))
 (162 162 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (142 142 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (127 127 (:REWRITE O-P-DEF-O-FINP-1))
 (120 120 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (110 110 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (96 24 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (80 22 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (72 72 (:TYPE-PRESCRIPTION LEN))
 (72 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (72 12 (:REWRITE RP::RP-TERMP-CADDDR))
 (72 12 (:DEFINITION ALL-NILS))
 (68 22 (:REWRITE RP::RP-TERMP-CADDR))
 (60 60 (:TYPE-PRESCRIPTION ALL-NILS))
 (58 26 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (54 54 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (52 26 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (50 10 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (40 40 (:TYPE-PRESCRIPTION QUOTEP))
 (36 36 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (34 34 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (28 28 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (28 28 (:LINEAR LEN-WHEN-PREFIXP))
 (26 26 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (20 20 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (14 14 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (14 14 (:LINEAR BOUNDS-POSITION-EQUAL))
 (12 12 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (10 10 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 )
(RP::FLATTEN-PP-MAIN)
(RP::PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BIT-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BINARY-AND-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-MERGE-PP-AND-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-FLATTEN-PP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BINARY-OR-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-MERGE-PP-OR-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BINARY-NOT-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BINARY-?-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-IFIX-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-NFIX-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-=-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-ZIP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-EXPT-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-NONNEGATIVE-INTEGER-QUOTIENT-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-FLOOR-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-EVENP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-ODDP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-LOGBITP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-LOGBIT$INLINE-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BIT-OF-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BINARY-XOR-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-TYPE-P-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-TYPE-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-P+-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA----WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::RP-EVL-OF-BIT-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (278 278 (:REWRITE DEFAULT-CAR))
 (156 24 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (111 13 (:DEFINITION RP::IS-SYNP$INLINE))
 (91 91 (:REWRITE DEFAULT-CDR))
 (34 24 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
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(RP::RP-EVL-OF-BINARY-AND-WHEN-PP-FLATTEN-FORMULA-CHECKS
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(RP::RP-EVL-OF-MERGE-PP-AND-WHEN-PP-FLATTEN-FORMULA-CHECKS
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(RP::RP-EVL-OF-FLATTEN-PP-WHEN-PP-FLATTEN-FORMULA-CHECKS
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(RP::RP-EVL-OF-BINARY-OR-WHEN-PP-FLATTEN-FORMULA-CHECKS
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(RP::RP-EVL-OF-MERGE-PP-OR-WHEN-PP-FLATTEN-FORMULA-CHECKS
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(RP::RP-EVL-OF-BINARY-NOT-WHEN-PP-FLATTEN-FORMULA-CHECKS
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 (26 20 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (26 20 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (26 20 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (26 20 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (26 20 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (10 10 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 2 (:REWRITE RP::BIT-FIX-OPENER))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:TYPE-PRESCRIPTION BITP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:DEFINITION BITP))
 )
(RP::RP-EVL-OF-BINARY-?-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (350 86 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (339 339 (:REWRITE DEFAULT-CAR))
 (231 23 (:DEFINITION RP::IS-SYNP$INLINE))
 (222 222 (:REWRITE DEFAULT-CDR))
 (96 86 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (96 86 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (95 85 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (95 85 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (33 33 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (24 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (21 7 (:REWRITE RP::BIT-FIX-OPENER))
 (18 18 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (18 18 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (12 12 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (7 7 (:TYPE-PRESCRIPTION BITP))
 (7 7 (:DEFINITION BITP))
 )
(RP::RP-EVL-OF-IFIX-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (274 274 (:REWRITE DEFAULT-CAR))
 (125 21 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 11 (:DEFINITION RP::IS-SYNP$INLINE))
 (70 70 (:REWRITE DEFAULT-CDR))
 (31 21 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (29 19 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (29 19 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (24 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (17 17 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (10 10 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::RP-EVL-OF-NFIX-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (383 383 (:REWRITE DEFAULT-CAR))
 (175 32 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (117 15 (:DEFINITION RP::IS-SYNP$INLINE))
 (94 94 (:REWRITE DEFAULT-CDR))
 (46 32 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (46 32 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (45 31 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (45 31 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (45 31 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (44 30 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (42 10 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (41 27 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (40 26 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (26 26 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (18 18 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (17 17 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (8 8 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (8 8 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::RP-EVL-OF-=-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (1088 4 (:DEFINITION RP::RP-TERMP))
 (816 4 (:DEFINITION RP::FALIST-CONSISTENT))
 (635 635 (:REWRITE DEFAULT-CAR))
 (632 4 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (560 560 (:REWRITE DEFAULT-CDR))
 (550 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (550 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (236 38 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (174 19 (:DEFINITION RP::IS-SYNP$INLINE))
 (168 48 (:REWRITE O-P-O-INFP-CAR))
 (80 80 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (50 38 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (48 36 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (48 36 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (46 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (41 21 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (40 40 (:REWRITE O-P-DEF-O-FINP-1))
 (38 2 (:DEFINITION RP::RP-EQUAL))
 (36 36 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (32 16 (:REWRITE RP::IS-IF-RP-TERMP))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (24 24 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (21 21 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (21 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (20 4 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (18 18 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (16 8 (:REWRITE RP::RP-TERMP-CADR))
 (16 8 (:REWRITE RP::RP-TERMP-CADDR))
 (16 8 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (12 12 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (9 9 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 8 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (8 4 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (8 4 (:DEFINITION QUOTEP))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (6 6 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (4 4 (:TYPE-PRESCRIPTION QUOTEP))
 (2 2 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (2 2 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 )
(RP::RP-EVL-OF-ZIP-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (274 274 (:REWRITE DEFAULT-CAR))
 (127 22 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 11 (:DEFINITION RP::IS-SYNP$INLINE))
 (70 70 (:REWRITE DEFAULT-CDR))
 (32 22 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (29 19 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (24 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (18 18 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (11 11 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1 1 (:REWRITE O-INFP->NEQ-0))
 (1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::RP-EVL-OF-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (274 274 (:REWRITE DEFAULT-CAR))
 (125 21 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 11 (:DEFINITION RP::IS-SYNP$INLINE))
 (70 70 (:REWRITE DEFAULT-CDR))
 (31 21 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (29 19 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (29 19 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (24 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (17 17 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (10 10 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (1 1 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::RP-EVL-OF-EXPT-LEMMA
 (975 975 (:REWRITE DEFAULT-CAR))
 (354 102 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (219 219 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NON-ZERO-BASE))
 (177 177 (:REWRITE DEFAULT-CDR))
 (168 26 (:DEFINITION RP::IS-SYNP$INLINE))
 (134 102 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (130 98 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (127 95 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (118 86 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (118 86 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (114 82 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (84 84 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (78 16 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (57 57 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (36 36 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (26 26 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (24 6 (:REWRITE DEFAULT-*-2))
 (21 3 (:REWRITE DEFAULT-UNARY-/))
 (19 11 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (16 16 (:REWRITE DEFAULT-+-2))
 (16 16 (:REWRITE DEFAULT-+-1))
 (15 6 (:REWRITE DEFAULT-*-1))
 (11 11 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (10 10 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (10 10 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (8 8 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 1 (:REWRITE O-INFP->NEQ-0))
 (4 4 (:REWRITE ZIP-OPEN))
 (3 3 (:TYPE-PRESCRIPTION O-FINP))
 (3 1 (:REWRITE O-FIRST-EXPT-O-INFP))
 (2 1 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 )
(RP::RP-EVL-OF-EXPT-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (172 172 (:REWRITE DEFAULT-CAR))
 (114 21 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (81 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (70 70 (:REWRITE DEFAULT-CDR))
 (45 45 (:TYPE-PRESCRIPTION RATIONALP-EXPT-TYPE-PRESCRIPTION))
 (45 45 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NON-ZERO-BASE))
 (27 21 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (27 21 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (27 21 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (12 2 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (4 4 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::RP-EVL-OF-NONNEGATIVE-INTEGER-QUOTIENT-LEMMA
 (527 527 (:REWRITE DEFAULT-CAR))
 (215 67 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (116 116 (:REWRITE DEFAULT-CDR))
 (96 14 (:DEFINITION RP::IS-SYNP$INLINE))
 (83 67 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (83 67 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (83 67 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (83 67 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (83 67 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (83 67 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (83 67 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (83 67 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (79 63 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (77 61 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (75 59 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (71 55 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (71 55 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (69 53 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (54 12 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (52 52 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (36 36 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (27 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (24 6 (:REWRITE DEFAULT-<-2))
 (18 18 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (18 9 (:REWRITE DEFAULT-+-1))
 (16 9 (:REWRITE DEFAULT-+-2))
 (14 14 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (14 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (13 13 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (12 6 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 1 (:REWRITE O-INFP->NEQ-0))
 )
(RP::RP-EVL-OF-NONNEGATIVE-INTEGER-QUOTIENT-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (172 172 (:REWRITE DEFAULT-CAR))
 (114 21 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (81 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (70 70 (:REWRITE DEFAULT-CDR))
 (27 21 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (27 21 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (27 21 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (12 2 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (4 4 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::RP-EVL-OF-FLOOR-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (454 454 (:REWRITE DEFAULT-CAR))
 (399 87 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (261 27 (:DEFINITION RP::IS-SYNP$INLINE))
 (244 244 (:REWRITE DEFAULT-CDR))
 (101 87 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (101 87 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (101 87 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (101 87 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (101 87 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (101 87 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (101 87 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (99 85 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (99 85 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (99 85 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (99 85 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (99 85 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (99 85 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (99 85 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (98 84 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (97 83 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (93 79 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (90 76 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (61 13 (:REWRITE DEFAULT-UNARY-/))
 (51 51 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (40 24 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (37 13 (:REWRITE DEFAULT-*-1))
 (36 36 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (33 7 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (31 10 (:REWRITE DEFAULT-NUMERATOR))
 (26 26 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (24 24 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (20 20 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (20 20 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (20 12 (:REWRITE RATIONALP-*))
 (18 10 (:REWRITE INTEGERP==>NUMERATOR-=-X))
 (16 5 (:REWRITE DEFAULT-DENOMINATOR))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (13 13 (:REWRITE DEFAULT-*-2))
 (12 12 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (9 5 (:REWRITE INTEGERP==>DENOMINATOR-=-1))
 (6 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 4 (:REWRITE DEFAULT-+-2))
 (6 4 (:REWRITE DEFAULT-+-1))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 )
(RP::RP-EVL-OF-EVENP-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (165 165 (:REWRITE DEFAULT-CAR))
 (87 16 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (57 7 (:DEFINITION RP::IS-SYNP$INLINE))
 (46 46 (:REWRITE DEFAULT-CDR))
 (22 16 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (22 16 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (22 16 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (22 16 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (22 16 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (22 16 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (22 16 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (21 15 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (20 14 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (20 14 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (20 14 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (20 14 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (19 13 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (18 12 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (10 4 (:REWRITE DEFAULT-*-1))
 (9 9 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 4 (:REWRITE DEFAULT-*-2))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::RP-EVL-OF-ODDP-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (271 271 (:REWRITE DEFAULT-CAR))
 (120 18 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 11 (:DEFINITION RP::IS-SYNP$INLINE))
 (69 69 (:REWRITE DEFAULT-CDR))
 (28 18 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (27 17 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (26 16 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (26 16 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (21 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (8 8 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::RP-EVL-OF-LOGBITP-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (180 180 (:REWRITE DEFAULT-CAR))
 (119 24 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (81 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (73 73 (:REWRITE DEFAULT-CDR))
 (30 24 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (29 23 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::RP-EVL-OF-LOGBIT$INLINE-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (289 289 (:REWRITE DEFAULT-CAR))
 (179 35 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (123 14 (:DEFINITION RP::IS-SYNP$INLINE))
 (108 108 (:REWRITE DEFAULT-CDR))
 (45 35 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (44 34 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (44 34 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (43 33 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (21 21 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (21 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (10 10 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (9 9 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (9 9 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::RP-EVL-OF-BIT-OF-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (193 193 (:REWRITE DEFAULT-CAR))
 (132 36 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (81 81 (:REWRITE DEFAULT-CDR))
 (81 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (42 36 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::RP-EVL-OF-BINARY-XOR-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (302 302 (:REWRITE DEFAULT-CAR))
 (196 49 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (123 14 (:DEFINITION RP::IS-SYNP$INLINE))
 (116 116 (:REWRITE DEFAULT-CDR))
 (59 49 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (58 48 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (58 48 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (24 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (18 6 (:REWRITE RP::BIT-FIX-OPENER))
 (13 13 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (9 9 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (9 9 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (6 6 (:TYPE-PRESCRIPTION BITP))
 (6 6 (:DEFINITION BITP))
 )
(RP::RP-EVL-OF-TYPE-P-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (171 171 (:REWRITE DEFAULT-CAR))
 (88 18 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (57 7 (:DEFINITION RP::IS-SYNP$INLINE))
 (50 50 (:REWRITE DEFAULT-CDR))
 (24 18 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (13 13 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (8 8 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::RP-EVL-OF-TYPE-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (282 282 (:REWRITE DEFAULT-CAR))
 (144 26 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (99 12 (:DEFINITION RP::IS-SYNP$INLINE))
 (85 85 (:REWRITE DEFAULT-CDR))
 (36 26 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (35 25 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (35 25 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (21 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (19 19 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (11 11 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (7 7 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (7 7 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (4 4 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 )
(RP::RP-EVL-OF-P+-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (193 193 (:REWRITE DEFAULT-CAR))
 (134 37 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (84 84 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (81 81 (:REWRITE DEFAULT-CDR))
 (81 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (43 37 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (20 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (20 2 (:REWRITE DEFAULT-+-2))
 (20 2 (:REWRITE DEFAULT-+-1))
 (16 16 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (8 8 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::RP-EVL-OF----WHEN-PP-FLATTEN-FORMULA-CHECKS
 (171 171 (:REWRITE DEFAULT-CAR))
 (88 18 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (57 7 (:DEFINITION RP::IS-SYNP$INLINE))
 (50 50 (:REWRITE DEFAULT-CDR))
 (42 42 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (24 18 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (20 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (13 13 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (10 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 8 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::RP-EVL-OF-EX-FROM-RP-REVERSE)
(RP::WHEN-EX-FROM-RP-IS-1
 (396 384 (:REWRITE DEFAULT-CDR))
 (310 286 (:REWRITE DEFAULT-CAR))
 (100 25 (:REWRITE O-P-O-INFP-CAR))
 (77 12 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (53 6 (:DEFINITION RP::IS-SYNP$INLINE))
 (52 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (40 40 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (29 9 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (25 25 (:REWRITE O-P-DEF-O-FINP-1))
 (24 24 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (14 12 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (12 4 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (11 11 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (9 9 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::WHEN-EX-FROM-RP-IS-0
 (396 384 (:REWRITE DEFAULT-CDR))
 (310 286 (:REWRITE DEFAULT-CAR))
 (100 25 (:REWRITE O-P-O-INFP-CAR))
 (77 12 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (53 6 (:DEFINITION RP::IS-SYNP$INLINE))
 (52 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (40 40 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (29 9 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (25 25 (:REWRITE O-P-DEF-O-FINP-1))
 (24 24 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (18 3 (:REWRITE O-INFP->NEQ-0))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (14 12 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (12 4 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (11 11 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (9 9 (:TYPE-PRESCRIPTION O-FINP))
 (9 9 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (9 3 (:REWRITE O-FIRST-EXPT-O-INFP))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (6 3 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 )
(RP::EVAL-OF-BINARY-NOT-1
 (59 53 (:REWRITE DEFAULT-CDR))
 (38 26 (:REWRITE DEFAULT-CAR))
 (36 2 (:DEFINITION RP::TRANS-LIST))
 (29 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (24 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (18 18 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (16 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (12 3 (:REWRITE O-P-O-INFP-CAR))
 (12 1 (:DEFINITION RP::INCLUDE-FNC))
 (8 8 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (7 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (3 3 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (3 3 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 3 (:REWRITE O-P-DEF-O-FINP-1))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (2 2 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (2 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::EVAL-OF-BINARY-NOT
 (74 65 (:REWRITE DEFAULT-CDR))
 (60 38 (:REWRITE DEFAULT-CAR))
 (54 3 (:DEFINITION RP::TRANS-LIST))
 (29 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (27 27 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (24 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (13 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (12 12 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (10 4 (:REWRITE O-P-O-INFP-CAR))
 (9 3 (:REWRITE RP::EVAL-OF-BINARY-NOT-1))
 (9 1 (:DEFINITION RP::INCLUDE-FNC))
 (7 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (4 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (4 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (4 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (3 3 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (3 3 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 3 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (2 2 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE O-P-DEF-O-FINP-1))
 (2 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF---1
 (59 53 (:REWRITE DEFAULT-CDR))
 (39 27 (:REWRITE DEFAULT-CAR))
 (36 2 (:DEFINITION RP::TRANS-LIST))
 (29 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (24 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (18 18 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (16 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (12 3 (:REWRITE O-P-O-INFP-CAR))
 (12 1 (:DEFINITION RP::INCLUDE-FNC))
 (8 8 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (7 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (3 3 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (3 3 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 3 (:REWRITE O-P-DEF-O-FINP-1))
 (3 2 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (2 2 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::EVAL-OF----
 (74 65 (:REWRITE DEFAULT-CDR))
 (61 39 (:REWRITE DEFAULT-CAR))
 (54 3 (:DEFINITION RP::TRANS-LIST))
 (29 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (27 27 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (24 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (13 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (12 12 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (10 4 (:REWRITE O-P-O-INFP-CAR))
 (9 3 (:REWRITE RP::EVAL-OF---1))
 (9 1 (:DEFINITION RP::INCLUDE-FNC))
 (7 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (4 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (4 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (4 3 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (4 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (3 3 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (3 3 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 3 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (2 2 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE O-P-DEF-O-FINP-1))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-BIT-OF-1
 (110 98 (:REWRITE DEFAULT-CDR))
 (74 50 (:REWRITE DEFAULT-CAR))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (44 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (36 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (32 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (24 6 (:REWRITE O-P-O-INFP-CAR))
 (24 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 6 (:REWRITE O-P-DEF-O-FINP-1))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (6 4 (:REWRITE RP::EVAL-OF----))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (4 4 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::EVAL-OF-BIT-OF
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 (101 63 (:REWRITE DEFAULT-CAR))
 (90 5 (:DEFINITION RP::TRANS-LIST))
 (45 45 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
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 (36 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (26 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 20 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (20 8 (:REWRITE O-P-O-INFP-CAR))
 (18 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 5 (:REWRITE RP::EVAL-OF-BIT-OF-1))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (7 5 (:REWRITE RP::EVAL-OF----))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (6 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
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 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (5 5 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE O-P-DEF-O-FINP-1))
 (4 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-BINARY-?-1
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 (111 75 (:REWRITE DEFAULT-CAR))
 (108 6 (:DEFINITION RP::TRANS-LIST))
 (59 7 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (54 54 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (48 6 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (48 4 (:DEFINITION RP::IS-SYNP$INLINE))
 (36 9 (:REWRITE O-P-O-INFP-CAR))
 (36 3 (:DEFINITION RP::INCLUDE-FNC))
 (24 24 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (15 7 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (9 9 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (9 9 (:REWRITE O-P-DEF-O-FINP-1))
 (9 6 (:REWRITE RP::EVAL-OF-BIT-OF))
 (9 6 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (9 6 (:REWRITE RP::EVAL-OF----))
 (7 7 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (7 7 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (7 7 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (6 6 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (6 6 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 6 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (4 4 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::EVAL-OF-BINARY-?
 (180 159 (:REWRITE DEFAULT-CDR))
 (143 89 (:REWRITE DEFAULT-CAR))
 (126 7 (:DEFINITION RP::TRANS-LIST))
 (63 63 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
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 (48 4 (:DEFINITION RP::IS-SYNP$INLINE))
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 (28 28 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (27 3 (:DEFINITION RP::INCLUDE-FNC))
 (23 7 (:REWRITE RP::EVAL-OF-BINARY-?-1))
 (15 7 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (10 7 (:REWRITE RP::EVAL-OF-BIT-OF))
 (10 7 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (10 7 (:REWRITE RP::EVAL-OF----))
 (9 9 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (8 7 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (8 7 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (7 7 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (7 7 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (7 7 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (7 7 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
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 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (4 4 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (4 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-BINARY-OR-1
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 (78 54 (:REWRITE DEFAULT-CAR))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (44 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
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 (24 6 (:REWRITE O-P-O-INFP-CAR))
 (24 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 6 (:REWRITE O-P-DEF-O-FINP-1))
 (6 4 (:REWRITE RP::EVAL-OF-BIT-OF))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-?))
 (6 4 (:REWRITE RP::EVAL-OF----))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
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 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (4 4 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::EVAL-OF-BINARY-OR
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 (90 5 (:DEFINITION RP::TRANS-LIST))
 (45 45 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
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 (36 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (26 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 20 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (20 8 (:REWRITE O-P-O-INFP-CAR))
 (18 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 5 (:REWRITE RP::EVAL-OF-BINARY-OR-1))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (7 5 (:REWRITE RP::EVAL-OF-BIT-OF))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-?))
 (7 5 (:REWRITE RP::EVAL-OF----))
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 (6 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
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 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (5 5 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE O-P-DEF-O-FINP-1))
 (4 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-BINARY-XOR-1
 (110 98 (:REWRITE DEFAULT-CDR))
 (80 56 (:REWRITE DEFAULT-CAR))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (44 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (36 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (32 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (24 6 (:REWRITE O-P-O-INFP-CAR))
 (24 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 6 (:REWRITE O-P-DEF-O-FINP-1))
 (6 4 (:REWRITE RP::EVAL-OF-BIT-OF))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-?))
 (6 4 (:REWRITE RP::EVAL-OF----))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
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 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
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 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
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 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (4 4 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::EVAL-OF-BINARY-XOR
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 (90 5 (:DEFINITION RP::TRANS-LIST))
 (45 45 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (44 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (36 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (26 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 20 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (20 8 (:REWRITE O-P-O-INFP-CAR))
 (18 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 5 (:REWRITE RP::EVAL-OF-BINARY-XOR-1))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (7 5 (:REWRITE RP::EVAL-OF-BIT-OF))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-?))
 (7 5 (:REWRITE RP::EVAL-OF----))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
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 (6 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
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 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (5 5 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE O-P-DEF-O-FINP-1))
 (4 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-BINARY-AND-1
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 (82 58 (:REWRITE DEFAULT-CAR))
 (72 4 (:DEFINITION RP::TRANS-LIST))
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 (24 6 (:REWRITE O-P-O-INFP-CAR))
 (24 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
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 (6 4 (:REWRITE RP::EVAL-OF-BIT-OF))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (6 4 (:REWRITE RP::EVAL-OF-BINARY-?))
 (6 4 (:REWRITE RP::EVAL-OF----))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
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 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (4 4 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::EVAL-OF-BINARY-AND
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 (109 71 (:REWRITE DEFAULT-CAR))
 (90 5 (:DEFINITION RP::TRANS-LIST))
 (45 45 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
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 (36 3 (:DEFINITION RP::IS-SYNP$INLINE))
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 (20 20 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (20 8 (:REWRITE O-P-O-INFP-CAR))
 (18 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 5 (:REWRITE RP::EVAL-OF-BINARY-AND-1))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (7 5 (:REWRITE RP::EVAL-OF-BIT-OF))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (7 5 (:REWRITE RP::EVAL-OF-BINARY-?))
 (7 5 (:REWRITE RP::EVAL-OF----))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (6 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
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 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (5 5 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE O-P-DEF-O-FINP-1))
 (4 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::NOT$-TO-PP-SUM
 (6 1 (:REWRITE O-INFP->NEQ-0))
 (3 3 (:TYPE-PRESCRIPTION O-FINP))
 (3 1 (:REWRITE O-FIRST-EXPT-O-INFP))
 (2 1 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 )
(RP::PP-HAS-BITP-RP-IMPLIES-LEMMA
 (1231 1180 (:REWRITE DEFAULT-CDR))
 (1201 1059 (:REWRITE DEFAULT-CAR))
 (808 17 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (521 233 (:REWRITE O-P-O-INFP-CAR))
 (403 30 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (343 29 (:DEFINITION RP::IS-SYNP$INLINE))
 (275 55 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (270 15 (:DEFINITION RP::TRANS-LIST))
 (191 12 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (165 55 (:DEFINITION APPLY$-BADGEP))
 (138 42 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (116 86 (:REWRITE O-P-DEF-O-FINP-1))
 (110 55 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (87 24 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (80 29 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (66 66 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (63 63 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (56 29 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (56 29 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (55 55 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (54 54 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (53 28 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (53 28 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (44 26 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (42 42 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (34 34 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (32 5 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (30 30 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (25 12 (:REWRITE RP::EVAL-OF-BIT-OF))
 (25 12 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (25 12 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (25 12 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (25 12 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (25 12 (:REWRITE RP::EVAL-OF-BINARY-?))
 (25 12 (:REWRITE RP::EVAL-OF----))
 (13 12 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (13 12 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (12 12 (:TYPE-PRESCRIPTION O-FINP))
 (11 1 (:REWRITE RP::NOT-INCLUDE-EX-FROM-RP))
 (9 9 (:REWRITE RP::EX-FROM-RP-X2))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (5 5 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::PP-HAS-BITP-RP-IMPLIES
 (1071 20 (:DEFINITION RP::INCLUDE-FNC))
 (969 14 (:REWRITE RP::NOT-INCLUDE-RP-MEANS-VALID-SC))
 (831 3 (:REWRITE RP::CAR-OF-EX-FROM-RP-IS-NOT-RP))
 (824 5 (:DEFINITION RP::RP-TERMP))
 (792 792 (:REWRITE DEFAULT-CDR))
 (532 532 (:REWRITE DEFAULT-CAR))
 (408 2 (:DEFINITION RP::FALIST-CONSISTENT))
 (316 2 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (240 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (220 58 (:REWRITE O-P-O-INFP-CAR))
 (143 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (125 25 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (123 7 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (112 8 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (96 8 (:DEFINITION RP::IS-SYNP$INLINE))
 (75 25 (:DEFINITION APPLY$-BADGEP))
 (62 20 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (61 61 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (54 54 (:REWRITE O-P-DEF-O-FINP-1))
 (50 25 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (50 25 (:DEFINITION QUOTEP))
 (39 1 (:REWRITE RP::VALID-SC-CADR))
 (36 18 (:REWRITE RP::IS-IF-RP-TERMP))
 (32 32 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (27 27 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (25 25 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (24 24 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (24 8 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (20 20 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (18 18 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (18 9 (:REWRITE RP::RP-TERMP-CADR))
 (18 9 (:REWRITE RP::RP-TERMP-CADDR))
 (18 9 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (18 3 (:REWRITE RP::NOT-INCLUDE-EX-FROM-RP))
 (12 3 (:REWRITE RP::VALID-SC-OF-EX-FROM-RP))
 (12 3 (:REWRITE RP::VALID-SC-EX-FROM-RP))
 (12 3 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (10 2 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (8 8 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (8 8 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (8 8 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (8 8 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (8 4 (:REWRITE RP::EVAL-OF-BIT-OF))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-?))
 (8 4 (:REWRITE RP::EVAL-OF----))
 (5 5 (:TYPE-PRESCRIPTION QUOTEP))
 (4 4 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (4 2 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1 1 (:REWRITE RP::VALID-SC-CADDR))
 )
(RP::PP-TERM-P-IS-BITP
 (5102 5102 (:REWRITE DEFAULT-CDR))
 (3640 260 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (3120 260 (:DEFINITION RP::IS-SYNP$INLINE))
 (2282 260 (:DEFINITION RP::INCLUDE-FNC))
 (2266 2266 (:REWRITE DEFAULT-CAR))
 (1676 138 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (1386 122 (:REWRITE RP::NOT-INCLUDE-RP-MEANS-VALID-SC))
 (1287 11 (:REWRITE RP::VALID-SC-EX-FROM-RP-2))
 (1254 11 (:DEFINITION RP::EVAL-AND-ALL))
 (798 133 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (780 780 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (780 260 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (531 260 (:DEFINITION QUOTEP))
 (520 520 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (399 399 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (266 266 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (266 140 (:REWRITE RP::EVAL-OF----))
 (260 260 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (260 260 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (260 260 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (260 260 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (260 260 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (260 260 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (260 260 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (180 45 (:REWRITE O-P-O-INFP-CAR))
 (139 139 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (55 55 (:TYPE-PRESCRIPTION RP::EVAL-AND-ALL))
 (55 55 (:TYPE-PRESCRIPTION RP::CONTEXT-FROM-RP))
 (45 45 (:REWRITE O-P-DEF-O-FINP-1))
 )
(RP::FLOOR-OF-TWO-IS-LESS
 (725 725 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (725 725 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (725 725 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (725 725 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (456 40 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (336 40 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (336 40 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-ZERO . 4))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (66 10 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (66 10 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (50 10 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (50 10 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (33 3 (:REWRITE DEFAULT-FLOOR-RATIO))
 (32 32 (:REWRITE DEFAULT-TIMES-2))
 (32 32 (:REWRITE DEFAULT-TIMES-1))
 (29 29 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (29 29 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (29 29 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (27 1 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (23 1 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (22 14 (:REWRITE DEFAULT-PLUS-2))
 (20 20 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (20 14 (:REWRITE DEFAULT-PLUS-1))
 (16 8 (:REWRITE DEFAULT-LESS-THAN-1))
 (10 2 (:REWRITE DEFAULT-MINUS))
 (8 8 (:REWRITE THE-FLOOR-BELOW))
 (8 8 (:REWRITE THE-FLOOR-ABOVE))
 (8 8 (:REWRITE DEFAULT-LESS-THAN-2))
 (7 7 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (7 7 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (7 7 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (7 7 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6 6 (:REWRITE REDUCE-INTEGERP-+))
 (6 6 (:REWRITE INTEGERP-MINUS-X))
 (6 6 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (- x))|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) (/ y))|))
 (6 6 (:REWRITE |(< (- x) (- y))|))
 (6 6 (:META META-INTEGERP-CORRECT))
 (5 5 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (5 5 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (5 5 (:REWRITE INTEGERP-<-CONSTANT))
 (5 5 (:REWRITE CONSTANT-<-INTEGERP))
 (4 4 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (3 3 (:REWRITE DEFAULT-FLOOR-2))
 (3 3 (:REWRITE DEFAULT-FLOOR-1))
 (3 3 (:REWRITE |(floor x 2)| . 2))
 (3 3 (:REWRITE |(< 0 (* x y))|))
 (2 2 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (2 2 (:REWRITE |(< y (+ (- c) x))|))
 (2 2 (:REWRITE |(< x (+ c/d y))|))
 (2 2 (:REWRITE |(< 0 (/ x))|))
 (2 2 (:REWRITE |(< (+ c/d x) y)|))
 (2 2 (:REWRITE |(< (+ (- c) x) y)|))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (1 1 (:REWRITE |(<= (/ x) y) with (< x 0)|))
 (1 1 (:REWRITE |(<= (/ x) y) with (< 0 x)|))
 (1 1 (:REWRITE |(< x (/ y)) with (< y 0)|))
 (1 1 (:REWRITE |(< (/ x) 0)|))
 (1 1 (:REWRITE |(< (* x y) 0)|))
 (1 1 (:REWRITE |(* (- x) y)|))
 )
(RP::FLOOR-OF-LEN-IS-LESS-THAN-LST
 (865 865 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (865 865 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (865 865 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (520 40 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (360 40 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (360 40 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (360 40 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (200 40 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (88 38 (:REWRITE DEFAULT-PLUS-2))
 (61 38 (:REWRITE DEFAULT-PLUS-1))
 (61 33 (:REWRITE DEFAULT-TIMES-2))
 (56 3 (:REWRITE DEFAULT-FLOOR-RATIO))
 (40 33 (:REWRITE DEFAULT-TIMES-1))
 (39 1 (:REWRITE |(floor (+ x r) i)|))
 (37 37 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (37 37 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (37 37 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (33 1 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (28 1 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (23 23 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (23 7 (:REWRITE DEFAULT-LESS-THAN-1))
 (17 17 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (10 7 (:REWRITE DEFAULT-LESS-THAN-2))
 (9 5 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (7 7 (:REWRITE THE-FLOOR-BELOW))
 (7 7 (:REWRITE THE-FLOOR-ABOVE))
 (7 7 (:REWRITE DEFAULT-CDR))
 (7 6 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (7 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (7 4 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (6 6 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (6 3 (:REWRITE DEFAULT-FLOOR-1))
 (5 5 (:REWRITE REDUCE-INTEGERP-+))
 (5 5 (:REWRITE INTEGERP-MINUS-X))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (5 5 (:META META-INTEGERP-CORRECT))
 (4 4 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (4 4 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (4 4 (:REWRITE INTEGERP-<-CONSTANT))
 (4 4 (:REWRITE CONSTANT-<-INTEGERP))
 (4 4 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (4 4 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (4 4 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (4 4 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (4 4 (:REWRITE |(< c (- x))|))
 (4 4 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (4 4 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (4 4 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (4 4 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (4 4 (:REWRITE |(< (/ x) (/ y))|))
 (4 4 (:REWRITE |(< (- x) c)|))
 (4 4 (:REWRITE |(< (- x) (- y))|))
 (3 3 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (3 3 (:REWRITE DEFAULT-FLOOR-2))
 (3 3 (:REWRITE |(floor x 2)| . 2))
 (3 3 (:REWRITE |(< y (+ (- c) x))|))
 (3 3 (:REWRITE |(< x (+ c/d y))|))
 (2 2 (:TYPE-PRESCRIPTION ABS))
 (2 2 (:REWRITE |(< (+ c/d x) y)|))
 (2 2 (:REWRITE |(< (+ (- c) x) y)|))
 (2 2 (:REWRITE |(* (- x) y)|))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:REWRITE |(< (/ x) y) with (< x 0)|))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::FIX-LESS-THAN-WITH-SMM
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (2 2 (:LINEAR BOUNDS-POSITION-EQUAL))
 (2 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (2 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (1 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (1 1 (:REWRITE |(equal c (/ x))|))
 (1 1 (:REWRITE |(equal c (- x))|))
 (1 1 (:REWRITE |(equal (/ x) c)|))
 (1 1 (:REWRITE |(equal (/ x) (/ y))|))
 (1 1 (:REWRITE |(equal (- x) c)|))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 )
(RP::BIT-LIST-LISTP)
(RP::RP-EVLT-LST-LST)
(RP::TIMES$)
(RP::TIMES$-OF-1-AND-0
 (5 5 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE DEFAULT-*-2))
 (2 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE-QUOTED-CONSTANT FIX-UNDER-NUMBER-EQUIV))
 )
(RP::LEN-EQUALS-2
 (14 8 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE DEFAULT-+-1))
 (5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(RP::BIT-LISTP-LEMMA
 (139 1 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (136 1 (:DEFINITION RP::PP-TERM-P))
 (81 62 (:REWRITE DEFAULT-CAR))
 (60 5 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (45 5 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (37 1 (:DEFINITION RP::RP-TRANS))
 (36 12 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (30 5 (:REWRITE O-INFP->NEQ-0))
 (28 28 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (27 27 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (26 26 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (22 22 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (20 5 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (18 18 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (18 1 (:DEFINITION RP::TRANS-LIST))
 (15 15 (:TYPE-PRESCRIPTION O-FINP))
 (15 5 (:REWRITE O-FIRST-EXPT-O-INFP))
 (14 1 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (12 1 (:DEFINITION RP::IS-SYNP$INLINE))
 (11 1 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (10 5 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (8 1 (:DEFINITION RP::IS-FALIST))
 (8 1 (:DEFINITION RP::INCLUDE-FNC))
 (5 2 (:DEFINITION QUOTEP))
 (3 1 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (3 1 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (1 1 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (1 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (1 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (1 1 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (1 1 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (1 1 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (1 1 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (1 1 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (1 1 (:REWRITE RP::EVAL-OF-BIT-OF))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-?))
 (1 1 (:REWRITE RP::EVAL-OF----))
 (1 1 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::BIT-LISTP-LEMMA-2
 (566 14 (:DEFINITION RP::RP-TRANS))
 (498 330 (:REWRITE O-P-O-INFP-CAR))
 (473 411 (:REWRITE DEFAULT-CDR))
 (359 21 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (318 20 (:DEFINITION RP::IS-SYNP$INLINE))
 (296 190 (:REWRITE DEFAULT-CAR))
 (252 14 (:DEFINITION RP::TRANS-LIST))
 (202 14 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (160 14 (:DEFINITION RP::INCLUDE-FNC))
 (112 14 (:DEFINITION RP::IS-FALIST))
 (103 21 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (96 36 (:REWRITE O-P-DEF-O-FINP-1))
 (93 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (90 15 (:REWRITE O-INFP->NEQ-0))
 (70 28 (:DEFINITION QUOTEP))
 (69 69 (:TYPE-PRESCRIPTION O-FINP))
 (45 45 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (45 21 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (45 21 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (45 21 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (45 21 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (45 15 (:REWRITE O-FIRST-EXPT-O-INFP))
 (44 20 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (33 33 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (30 15 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (24 6 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (20 20 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (20 20 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (20 15 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (14 14 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (14 14 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (14 14 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (14 14 (:REWRITE RP::EVAL-OF-BIT-OF))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-?))
 (14 14 (:REWRITE RP::EVAL-OF----))
 (12 1 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (9 1 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 )
(RP::OR$-TO-PP-SUM
 (18 3 (:REWRITE O-INFP->NEQ-0))
 (9 9 (:TYPE-PRESCRIPTION O-FINP))
 (9 3 (:REWRITE O-FIRST-EXPT-O-INFP))
 (6 3 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 )
(RP::BINARY-XOR-TO-PP-SUM
 (18 3 (:REWRITE O-INFP->NEQ-0))
 (9 9 (:TYPE-PRESCRIPTION O-FINP))
 (9 3 (:REWRITE O-FIRST-EXPT-O-INFP))
 (6 3 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 )
(RP::BINARY-?-TO-PP-SUM
 (42 7 (:REWRITE O-INFP->NEQ-0))
 (21 21 (:TYPE-PRESCRIPTION O-FINP))
 (21 7 (:REWRITE O-FIRST-EXPT-O-INFP))
 (14 7 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 )
(RP::---OF-PP-SUM
 (5 5 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE DEFAULT-+-1))
 )
(RP::--OF--
 (3 3 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(RP::PP-SUM-REORDER
 (8 8 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE FOLD-CONSTS-IN-+))
 )
(RP::PP-SUM-COMM
 (6 6 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (6 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE DEFAULT-+-1))
 (3 3 (:REWRITE FOLD-CONSTS-IN-+))
 )
(RP::PP-SUM-OF-0
 (5 5 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (1 1 (:REWRITE-QUOTED-CONSTANT FIX-UNDER-NUMBER-EQUIV))
 )
(RP::TYPE-FIX-OF-FNCS
 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(RP::TYPE-FIX-OF--
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(RP::TYPE-FIX-WHEN-INTEGERP)
(RP::TYPE-FIX-WHEN-BITP
 (6 1 (:REWRITE O-INFP->NEQ-0))
 (3 3 (:TYPE-PRESCRIPTION O-FINP))
 (3 1 (:REWRITE O-FIRST-EXPT-O-INFP))
 (2 1 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 )
(RP::INTEGERP-OF-FNCS)
(RP::BITP-IMPLIES-INTEGERP)
(RP::WHEN-MINUS-OF-X-IS-ZERO)
(RP::WHEN-MINUS-OF-X-IS-1)
(RP::BINAR-AND-ABS-IS-AND$-2
 (42 12 (:REWRITE O-INFP->NEQ-0))
 (28 10 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (18 18 (:TYPE-PRESCRIPTION O-FINP))
 (18 18 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 6 (:REWRITE O-FIRST-EXPT-O-INFP))
 (12 6 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (10 10 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (10 10 (:REWRITE DEFAULT-*-2))
 (10 10 (:REWRITE DEFAULT-*-1))
 )
(RP::PP-SUM-EQUALS
 (39 15 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (15 15 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (12 12 (:TYPE-PRESCRIPTION BITP))
 (12 12 (:DEFINITION BITP))
 (10 10 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(RP::--OF--EQUALS
 (10 10 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (8 4 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:TYPE-PRESCRIPTION BITP))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:DEFINITION BITP))
 )
(RP::AND$-OF-1-0
 (11 5 (:REWRITE RP::BIT-FIX-OPENER))
 (3 3 (:TYPE-PRESCRIPTION BITP))
 (3 3 (:DEFINITION BITP))
 )
(RP::PP-SUM-OF-NEGATED-SUM
 (36 16 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (16 16 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (10 10 (:TYPE-PRESCRIPTION BITP))
 (10 10 (:DEFINITION BITP))
 (9 9 (:REWRITE DEFAULT-+-2))
 (9 9 (:REWRITE DEFAULT-+-1))
 (5 5 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (4 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:REWRITE FOLD-CONSTS-IN-+))
 )
(RP::AND$-ASSOC
 (4 4 (:TYPE-PRESCRIPTION BITP))
 (4 4 (:DEFINITION BITP))
 )
(RP::AND$-COMM-LOOP=STOPPER
 (4 4 (:TYPE-PRESCRIPTION BITP))
 (4 4 (:DEFINITION BITP))
 )
(RP::AND$-IS-TIMES
 (102 6 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (96 12 (:REWRITE ACL2-NUMBERP-X))
 (54 6 (:REWRITE RATIONALP-X))
 (24 6 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (18 6 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (18 3 (:REWRITE O-INFP->NEQ-0))
 (12 12 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (9 9 (:TYPE-PRESCRIPTION O-FINP))
 (9 3 (:REWRITE O-FIRST-EXPT-O-INFP))
 (6 6 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (6 6 (:REWRITE REDUCE-RATIONALP-+))
 (6 6 (:REWRITE REDUCE-RATIONALP-*))
 (6 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (6 6 (:REWRITE REDUCE-INTEGERP-+))
 (6 6 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (6 6 (:REWRITE RATIONALP-MINUS-X))
 (6 6 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (6 6 (:REWRITE INTEGERP-MINUS-X))
 (6 6 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (6 6 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (6 6 (:REWRITE |(equal c (/ x))|))
 (6 6 (:REWRITE |(equal c (- x))|))
 (6 6 (:REWRITE |(equal (/ x) c)|))
 (6 6 (:REWRITE |(equal (/ x) (/ y))|))
 (6 6 (:REWRITE |(equal (- x) c)|))
 (6 6 (:REWRITE |(equal (- x) (- y))|))
 (6 6 (:META META-RATIONALP-CORRECT))
 (6 6 (:META META-INTEGERP-CORRECT))
 (6 3 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 )
(RP::TYPE-FIX-OF-TIMES
 (122 8 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (116 2 (:DEFINITION BITP))
 (60 4 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (56 8 (:REWRITE ACL2-NUMBERP-X))
 (28 4 (:REWRITE RATIONALP-X))
 (14 14 (:REWRITE DEFAULT-TIMES-2))
 (14 14 (:REWRITE DEFAULT-TIMES-1))
 (12 4 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (8 8 (:REWRITE REDUCE-INTEGERP-+))
 (8 8 (:REWRITE INTEGERP-MINUS-X))
 (8 8 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (8 8 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (8 8 (:META META-INTEGERP-CORRECT))
 (6 6 (:TYPE-PRESCRIPTION BITP))
 (4 4 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (4 4 (:REWRITE REDUCE-RATIONALP-+))
 (4 4 (:REWRITE REDUCE-RATIONALP-*))
 (4 4 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (4 4 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (4 4 (:REWRITE RATIONALP-MINUS-X))
 (4 4 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (4 4 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (4 4 (:REWRITE |(equal c (/ x))|))
 (4 4 (:REWRITE |(equal c (- x))|))
 (4 4 (:REWRITE |(equal (/ x) c)|))
 (4 4 (:REWRITE |(equal (/ x) (/ y))|))
 (4 4 (:REWRITE |(equal (- x) c)|))
 (4 4 (:REWRITE |(equal (- x) (- y))|))
 (4 4 (:META META-RATIONALP-CORRECT))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (2 2 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 )
(RP::TIMES$-OF---
 (244 16 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (232 4 (:DEFINITION BITP))
 (120 8 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (112 16 (:REWRITE ACL2-NUMBERP-X))
 (56 8 (:REWRITE RATIONALP-X))
 (32 32 (:REWRITE DEFAULT-TIMES-2))
 (32 32 (:REWRITE DEFAULT-TIMES-1))
 (24 8 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (16 16 (:REWRITE REDUCE-INTEGERP-+))
 (16 16 (:REWRITE INTEGERP-MINUS-X))
 (16 16 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (16 16 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (16 16 (:META META-INTEGERP-CORRECT))
 (12 12 (:TYPE-PRESCRIPTION BITP))
 (12 12 (:REWRITE DEFAULT-MINUS))
 (8 8 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (8 8 (:REWRITE REDUCE-RATIONALP-+))
 (8 8 (:REWRITE REDUCE-RATIONALP-*))
 (8 8 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (8 8 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (8 8 (:REWRITE RATIONALP-MINUS-X))
 (8 8 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (8 8 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (8 8 (:REWRITE |(equal c (/ x))|))
 (8 8 (:REWRITE |(equal c (- x))|))
 (8 8 (:REWRITE |(equal (/ x) c)|))
 (8 8 (:REWRITE |(equal (/ x) (/ y))|))
 (8 8 (:REWRITE |(equal (- x) c)|))
 (8 8 (:REWRITE |(equal (- x) (- y))|))
 (8 8 (:META META-RATIONALP-CORRECT))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (4 4 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (4 4 (:REWRITE |(- (* c x))|))
 )
(RP::TIMES$-DISTRIBUTE-OVER-PP-SUM
 (368 26 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (348 6 (:DEFINITION BITP))
 (180 12 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (168 24 (:REWRITE ACL2-NUMBERP-X))
 (84 12 (:REWRITE RATIONALP-X))
 (75 75 (:REWRITE DEFAULT-TIMES-2))
 (75 75 (:REWRITE DEFAULT-TIMES-1))
 (40 40 (:REWRITE DEFAULT-PLUS-2))
 (40 40 (:REWRITE DEFAULT-PLUS-1))
 (36 12 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (26 26 (:REWRITE REDUCE-INTEGERP-+))
 (26 26 (:REWRITE INTEGERP-MINUS-X))
 (26 26 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (26 26 (:META META-INTEGERP-CORRECT))
 (24 24 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (18 18 (:TYPE-PRESCRIPTION BITP))
 (14 14 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (12 12 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (12 12 (:REWRITE REDUCE-RATIONALP-+))
 (12 12 (:REWRITE REDUCE-RATIONALP-*))
 (12 12 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (12 12 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (12 12 (:REWRITE RATIONALP-MINUS-X))
 (12 12 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (12 12 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (12 12 (:REWRITE |(equal c (/ x))|))
 (12 12 (:REWRITE |(equal c (- x))|))
 (12 12 (:REWRITE |(equal (/ x) c)|))
 (12 12 (:REWRITE |(equal (/ x) (/ y))|))
 (12 12 (:REWRITE |(equal (- x) c)|))
 (12 12 (:REWRITE |(equal (- x) (- y))|))
 (12 12 (:META META-RATIONALP-CORRECT))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (6 6 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6 6 (:REWRITE NORMALIZE-ADDENDS))
 )
(RP::TIMES$-COMM
 (305 20 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (290 5 (:DEFINITION BITP))
 (150 10 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (140 20 (:REWRITE ACL2-NUMBERP-X))
 (70 10 (:REWRITE RATIONALP-X))
 (53 53 (:REWRITE DEFAULT-TIMES-2))
 (53 53 (:REWRITE DEFAULT-TIMES-1))
 (30 10 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (20 20 (:REWRITE REDUCE-INTEGERP-+))
 (20 20 (:REWRITE INTEGERP-MINUS-X))
 (20 20 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (20 20 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (20 20 (:META META-INTEGERP-CORRECT))
 (15 15 (:TYPE-PRESCRIPTION BITP))
 (10 10 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (10 10 (:REWRITE REDUCE-RATIONALP-+))
 (10 10 (:REWRITE REDUCE-RATIONALP-*))
 (10 10 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (10 10 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (10 10 (:REWRITE RATIONALP-MINUS-X))
 (10 10 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (10 10 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (10 10 (:REWRITE |(equal c (/ x))|))
 (10 10 (:REWRITE |(equal c (- x))|))
 (10 10 (:REWRITE |(equal (/ x) c)|))
 (10 10 (:REWRITE |(equal (/ x) (/ y))|))
 (10 10 (:REWRITE |(equal (- x) c)|))
 (10 10 (:REWRITE |(equal (- x) (- y))|))
 (10 10 (:META META-RATIONALP-CORRECT))
 (7 7 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (2 2 (:REWRITE |(* c (* d x))|))
 )
(RP::TIMES$-REODER
 (183 12 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (174 3 (:DEFINITION BITP))
 (90 6 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (84 12 (:REWRITE ACL2-NUMBERP-X))
 (42 6 (:REWRITE RATIONALP-X))
 (40 40 (:REWRITE DEFAULT-TIMES-2))
 (40 40 (:REWRITE DEFAULT-TIMES-1))
 (18 6 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (12 12 (:REWRITE REDUCE-INTEGERP-+))
 (12 12 (:REWRITE INTEGERP-MINUS-X))
 (12 12 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (12 12 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (12 12 (:META META-INTEGERP-CORRECT))
 (9 9 (:TYPE-PRESCRIPTION BITP))
 (6 6 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (6 6 (:REWRITE REDUCE-RATIONALP-+))
 (6 6 (:REWRITE REDUCE-RATIONALP-*))
 (6 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (6 6 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (6 6 (:REWRITE RATIONALP-MINUS-X))
 (6 6 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (6 6 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (6 6 (:REWRITE |(equal c (/ x))|))
 (6 6 (:REWRITE |(equal c (- x))|))
 (6 6 (:REWRITE |(equal (/ x) c)|))
 (6 6 (:REWRITE |(equal (/ x) (/ y))|))
 (6 6 (:REWRITE |(equal (- x) c)|))
 (6 6 (:REWRITE |(equal (- x) (- y))|))
 (6 6 (:META META-RATIONALP-CORRECT))
 (5 5 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (2 2 (:REWRITE |(* c (* d x))|))
 )
(RP::AND$-OF-REPEATED-VARS
 (5 5 (:TYPE-PRESCRIPTION BITP))
 (5 5 (:DEFINITION BITP))
 )
(RP::LEN-TO-CONSP
 (9 5 (:REWRITE DEFAULT-+-2))
 (5 5 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE DEFAULT-+-1))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:REWRITE ZP-OPEN))
 )
(RP::LEN-TO-CONSP-WHEN-O
 (1 1 (:REWRITE RP::LEN-TO-CONSP))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 )
(RP::LEN-TO-CONSP-WHEN-LESS-THAN-2
 (10 5 (:REWRITE DEFAULT-+-2))
 (9 9 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (4 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::APPEND-RETURNS-BIT-LIST-LISTP
 (240 16 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (217 64 (:REWRITE O-P-O-INFP-CAR))
 (192 16 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (163 117 (:REWRITE DEFAULT-CDR))
 (112 16 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (108 90 (:REWRITE DEFAULT-CAR))
 (102 102 (:TYPE-PRESCRIPTION O-P))
 (96 16 (:REWRITE O-INFP->NEQ-0))
 (96 16 (:DEFINITION RP::RP-TRANS-LST))
 (80 80 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (76 16 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (56 4 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (51 51 (:REWRITE O-P-DEF-O-FINP-1))
 (48 48 (:TYPE-PRESCRIPTION O-FINP))
 (48 48 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (48 16 (:REWRITE O-FIRST-EXPT-O-INFP))
 (48 4 (:DEFINITION RP::IS-SYNP$INLINE))
 (32 16 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (30 15 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (24 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (15 15 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (12 4 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (12 4 (:REWRITE CAR-OF-APPEND))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (8 8 (:REWRITE CONSP-OF-APPEND))
 (4 4 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (4 4 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (4 4 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (4 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::APPEND-RETURNS-BIT-LIST-LISTP-WITH-STRIP-CDRS
 (385 26 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (350 107 (:REWRITE O-P-O-INFP-CAR))
 (308 180 (:REWRITE DEFAULT-CDR))
 (307 26 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (215 4 (:REWRITE RP::BIT-LISTP-LEMMA))
 (177 26 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (170 137 (:REWRITE DEFAULT-CAR))
 (162 162 (:TYPE-PRESCRIPTION O-P))
 (151 26 (:DEFINITION RP::RP-TRANS-LST))
 (130 130 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (123 26 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (96 16 (:REWRITE O-INFP->NEQ-0))
 (81 81 (:REWRITE O-P-DEF-O-FINP-1))
 (78 78 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (56 4 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (48 48 (:TYPE-PRESCRIPTION O-FINP))
 (48 16 (:REWRITE O-FIRST-EXPT-O-INFP))
 (48 4 (:DEFINITION RP::IS-SYNP$INLINE))
 (36 18 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (32 16 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (24 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (18 18 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (18 18 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (15 5 (:REWRITE CAR-OF-APPEND))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (12 4 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (10 10 (:REWRITE CONSP-OF-APPEND))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (5 5 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (4 4 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (4 4 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (4 4 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::APPEND-RETURNS-BIT-LISTP
 (658 2 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (556 369 (:REWRITE DEFAULT-CDR))
 (347 244 (:REWRITE DEFAULT-CAR))
 (326 19 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (300 212 (:REWRITE O-P-O-INFP-CAR))
 (278 2 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (272 2 (:DEFINITION RP::PP-TERM-P))
 (269 19 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (235 14 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (208 13 (:DEFINITION RP::IS-SYNP$INLINE))
 (164 4 (:DEFINITION RP::RP-TRANS))
 (154 77 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (108 20 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (108 18 (:REWRITE O-INFP->NEQ-0))
 (103 103 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (77 77 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (77 77 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (70 70 (:TYPE-PRESCRIPTION O-FINP))
 (69 69 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (68 14 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (62 14 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (60 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (57 57 (:REWRITE CONSP-OF-APPEND))
 (56 56 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (56 16 (:REWRITE O-P-DEF-O-FINP-1))
 (54 18 (:REWRITE O-FIRST-EXPT-O-INFP))
 (48 4 (:DEFINITION RP::INCLUDE-FNC))
 (44 44 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (42 14 (:REWRITE CAR-OF-APPEND))
 (36 18 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (32 4 (:DEFINITION RP::IS-FALIST))
 (30 14 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (30 14 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (30 14 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (30 14 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (30 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (29 13 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (20 8 (:DEFINITION QUOTEP))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (14 14 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (13 13 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (13 13 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (8 4 (:REWRITE RP::EVAL-OF-BIT-OF))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-?))
 (8 4 (:REWRITE RP::EVAL-OF----))
 (6 2 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (4 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (4 4 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 )
(RP::APPEND-EQUAL
 (1758 6 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1720 2 (:DEFINITION TRUE-LISTP))
 (1192 4 (:DEFINITION RP::RP-TERM-LISTP))
 (1138 8 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1120 8 (:DEFINITION QUOTEP))
 (1098 12 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1094 2 (:DEFINITION APPLY$-BADGEP))
 (860 8 (:DEFINITION SUBSETP-EQUAL))
 (700 60 (:DEFINITION MEMBER-EQUAL))
 (560 8 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (538 2 (:DEFINITION RP::RP-TERMP))
 (490 490 (:REWRITE DEFAULT-CDR))
 (478 20 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (440 32 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (408 2 (:DEFINITION RP::FALIST-CONSISTENT))
 (316 2 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (230 230 (:REWRITE DEFAULT-CAR))
 (120 120 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (104 104 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (96 96 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (84 24 (:REWRITE O-P-O-INFP-CAR))
 (74 74 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (70 4 (:DEFINITION NATP))
 (64 64 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (56 56 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (50 6 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (40 40 (:TYPE-PRESCRIPTION O-P))
 (40 20 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (38 6 (:DEFINITION BITP))
 (30 30 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (26 26 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (24 10 (:REWRITE RP::IS-IF-RP-TERMP))
 (24 2 (:REWRITE RP::LEN-TO-CONSP))
 (20 20 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (20 20 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (20 20 (:REWRITE O-P-DEF-O-FINP-1))
 (20 10 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (20 2 (:REWRITE ZP-OPEN))
 (18 18 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (18 18 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (16 6 (:REWRITE RP::RP-TERMP-CADR))
 (12 2 (:DEFINITION ALL-NILS))
 (10 10 (:TYPE-PRESCRIPTION ALL-NILS))
 (10 10 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (10 4 (:REWRITE DEFAULT-<-2))
 (10 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (8 8 (:TYPE-PRESCRIPTION QUOTEP))
 (8 4 (:REWRITE RP::RP-TERMP-CADDR))
 (8 4 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (8 4 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (8 2 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (6 6 (:TYPE-PRESCRIPTION BITP))
 (6 6 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 2 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (4 2 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (2 2 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (2 2 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::APPEND-EQUAL2
 (240 96 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (144 96 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (96 96 (:TYPE-PRESCRIPTION TRUE-LISTP))
 )
(RP::BITP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX
 (1648 1474 (:REWRITE DEFAULT-CDR))
 (1323 1015 (:REWRITE DEFAULT-CAR))
 (1248 860 (:REWRITE O-P-O-INFP-CAR))
 (1240 81 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1084 73 (:DEFINITION RP::IS-SYNP$INLINE))
 (792 44 (:DEFINITION RP::TRANS-LIST))
 (572 44 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (440 44 (:DEFINITION RP::INCLUDE-FNC))
 (337 79 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (273 81 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (236 76 (:REWRITE O-P-DEF-O-FINP-1))
 (170 31 (:REWRITE O-INFP->NEQ-0))
 (168 168 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (148 148 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (145 145 (:TYPE-PRESCRIPTION O-FINP))
 (145 81 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (145 81 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (145 81 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (144 12 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (137 73 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (108 12 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (88 44 (:REWRITE RP::EVAL-OF-BIT-OF))
 (88 44 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (88 44 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (88 44 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (88 44 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (88 44 (:REWRITE RP::EVAL-OF-BINARY-?))
 (88 44 (:REWRITE RP::EVAL-OF----))
 (81 27 (:REWRITE O-FIRST-EXPT-O-INFP))
 (78 13 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (75 75 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (73 73 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (72 18 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (54 27 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (44 44 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (44 44 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (44 44 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (42 24 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (39 39 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (26 26 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::EVAL-OF-APPEND-OF-PP-LISTS-TO-TERM-AUX
 (1001 893 (:REWRITE DEFAULT-CDR))
 (839 629 (:REWRITE DEFAULT-CAR))
 (630 35 (:DEFINITION RP::TRANS-LIST))
 (439 41 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (362 30 (:DEFINITION RP::IS-SYNP$INLINE))
 (338 338 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (288 29 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (215 22 (:DEFINITION RP::INCLUDE-FNC))
 (158 79 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (150 150 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (128 16 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (120 10 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (97 37 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (96 96 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (94 94 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (90 10 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (88 22 (:REWRITE O-P-O-INFP-CAR))
 (79 79 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (79 79 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (51 29 (:REWRITE RP::EVAL-OF-BIT-OF))
 (51 29 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (51 29 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (51 29 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (51 29 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (51 29 (:REWRITE RP::EVAL-OF-BINARY-?))
 (51 29 (:REWRITE RP::EVAL-OF----))
 (49 16 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (48 8 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (41 41 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (41 41 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (41 41 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (38 38 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (35 35 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (32 16 (:REWRITE CAR-OF-APPEND))
 (30 30 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (30 30 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (29 29 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (29 29 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (22 22 (:REWRITE O-P-DEF-O-FINP-1))
 (22 22 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX
 (2136 21 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (801 728 (:REWRITE DEFAULT-CDR))
 (799 6 (:DEFINITION RP::BIT-LISTP))
 (796 3 (:REWRITE RP::BITP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX))
 (709 1 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (643 469 (:REWRITE O-P-O-INFP-CAR))
 (556 450 (:REWRITE DEFAULT-CAR))
 (556 4 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (544 4 (:DEFINITION RP::PP-TERM-P))
 (504 35 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (441 27 (:DEFINITION RP::IS-SYNP$INLINE))
 (198 11 (:DEFINITION RP::TRANS-LIST))
 (151 34 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (143 35 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (141 11 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (132 11 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (118 28 (:REWRITE O-P-DEF-O-FINP-1))
 (112 112 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (108 11 (:DEFINITION RP::INCLUDE-FNC))
 (99 11 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (88 88 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (77 77 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (72 18 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (71 35 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (71 35 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (71 35 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (66 66 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (64 33 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (63 27 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (56 56 (:TYPE-PRESCRIPTION O-P))
 (42 7 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (36 36 (:TYPE-PRESCRIPTION O-FINP))
 (28 28 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (27 27 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (27 27 (:DEFINITION BITP))
 (24 24 (:TYPE-PRESCRIPTION RP::BIT-LISTP))
 (22 11 (:REWRITE RP::EVAL-OF-BIT-OF))
 (22 11 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (22 11 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (22 11 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (22 11 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (22 11 (:REWRITE RP::EVAL-OF-BINARY-?))
 (22 11 (:REWRITE RP::EVAL-OF----))
 (21 21 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (21 21 (:TYPE-PRESCRIPTION BITP))
 (21 21 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (12 4 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (11 11 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (11 11 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (11 11 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (1 1 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM
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 (541 408 (:REWRITE DEFAULT-CAR))
 (420 10 (:REWRITE RP::BIT-LISTP-LEMMA))
 (418 31 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (398 125 (:REWRITE O-P-O-INFP-CAR))
 (325 31 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (298 24 (:DEFINITION RP::BIT-LISTP))
 (278 2 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (272 2 (:DEFINITION RP::PP-TERM-P))
 (253 253 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (233 151 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (212 16 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (182 182 (:TYPE-PRESCRIPTION O-P))
 (182 31 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (180 15 (:DEFINITION RP::IS-SYNP$INLINE))
 (179 57 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (171 171 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (144 8 (:DEFINITION RP::TRANS-LIST))
 (140 31 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (105 105 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (91 91 (:REWRITE O-P-DEF-O-FINP-1))
 (88 8 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (64 8 (:DEFINITION RP::INCLUDE-FNC))
 (56 56 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (45 15 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (45 1 (:REWRITE RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX))
 (44 44 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (42 7 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (21 21 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (19 1 (:DEFINITION INTEGER-LISTP))
 (16 16 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (16 16 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (16 16 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (16 8 (:REWRITE RP::EVAL-OF-BIT-OF))
 (16 8 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (16 8 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (16 8 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (16 8 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (16 8 (:REWRITE RP::EVAL-OF-BINARY-?))
 (16 8 (:REWRITE RP::EVAL-OF----))
 (15 15 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (15 15 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (8 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (8 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (8 8 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (6 2 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (5 5 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (1 1 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM-FORWARD-CHAINING
 (60 45 (:REWRITE DEFAULT-CDR))
 (41 1 (:DEFINITION RP::RP-EVLT-LST-LST))
 (38 30 (:REWRITE DEFAULT-CAR))
 (37 1 (:DEFINITION RP::RP-TRANS))
 (31 10 (:REWRITE O-P-O-INFP-CAR))
 (28 2 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (24 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (22 1 (:DEFINITION RP::PP-LISTS-TO-TERM-P+))
 (20 1 (:DEFINITION RP::BIT-LIST-LISTP))
 (18 1 (:DEFINITION RP::TRANS-LIST))
 (16 1 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (14 14 (:TYPE-PRESCRIPTION O-P))
 (14 1 (:DEFINITION RP::BIT-LISTP))
 (13 13 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (13 1 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (11 6 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (11 1 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (8 1 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (8 1 (:DEFINITION STRIP-CDRS))
 (8 1 (:DEFINITION RP::IS-FALIST))
 (8 1 (:DEFINITION RP::INCLUDE-FNC))
 (7 7 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (7 7 (:REWRITE O-P-DEF-O-FINP-1))
 (7 1 (:DEFINITION RP::RP-TRANS-LST))
 (7 1 (:DEFINITION BITP))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 2 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 1 (:REWRITE O-INFP->NEQ-0))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 2 (:DEFINITION QUOTEP))
 (5 1 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (3 3 (:TYPE-PRESCRIPTION O-FINP))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 1 (:REWRITE O-FIRST-EXPT-O-INFP))
 (2 2 (:TYPE-PRESCRIPTION STRIP-CDRS))
 (2 2 (:TYPE-PRESCRIPTION RP::RP-EVLT-LST-LST))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (2 2 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (2 2 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (2 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 1 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (2 1 (:REWRITE RP::EVAL-OF-BIT-OF))
 (2 1 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (2 1 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (2 1 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (2 1 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (2 1 (:REWRITE RP::EVAL-OF-BINARY-?))
 (2 1 (:REWRITE RP::EVAL-OF----))
 (1 1 (:TYPE-PRESCRIPTION RP::BIT-LISTP))
 (1 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (1 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (1 1 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 )
(RP::PP-LISTS-TO-TERM-OF-APPLY-SIGN-TO-PP-LISTS
 (1931 1314 (:REWRITE DEFAULT-CDR))
 (1524 1048 (:REWRITE DEFAULT-CAR))
 (922 316 (:REWRITE O-P-O-INFP-CAR))
 (642 14 (:REWRITE RP::BIT-LISTP-LEMMA))
 (614 34 (:DEFINITION RP::TRANS-LIST))
 (590 36 (:DEFINITION RP::BIT-LISTP))
 (556 556 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (535 47 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (518 38 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (446 37 (:DEFINITION RP::IS-SYNP$INLINE))
 (404 38 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (381 278 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (311 32 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (242 242 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (242 42 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (227 26 (:DEFINITION RP::INCLUDE-FNC))
 (222 78 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (202 202 (:REWRITE O-P-DEF-O-FINP-1))
 (196 38 (:DEFINITION BITP))
 (188 42 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (180 180 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (148 26 (:REWRITE O-INFP->NEQ-0))
 (117 43 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (72 72 (:TYPE-PRESCRIPTION O-FINP))
 (72 24 (:REWRITE O-FIRST-EXPT-O-INFP))
 (66 11 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (58 32 (:REWRITE RP::EVAL-OF-BIT-OF))
 (58 32 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (58 32 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (58 32 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (58 32 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (58 32 (:REWRITE RP::EVAL-OF-BINARY-?))
 (58 32 (:REWRITE RP::EVAL-OF----))
 (48 24 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (47 47 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (47 47 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (44 44 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (37 37 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (37 37 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (34 34 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (33 33 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (32 32 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (32 32 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (22 22 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (12 1 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (4 4 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::PP-LISTS-TO-TERM-OF-APPEND
 (1873 643 (:REWRITE O-P-O-INFP-CAR))
 (1800 100 (:DEFINITION RP::TRANS-LIST))
 (1417 122 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1315 1315 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (1190 99 (:DEFINITION RP::IS-SYNP$INLINE))
 (1065 68 (:DEFINITION RP::BIT-LISTP))
 (938 66 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (876 96 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (864 18 (:REWRITE RP::BIT-LISTP-LEMMA))
 (826 619 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (740 66 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (624 78 (:DEFINITION RP::INCLUDE-FNC))
 (552 72 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (486 486 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (454 74 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (420 420 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (410 410 (:REWRITE O-P-DEF-O-FINP-1))
 (397 71 (:DEFINITION BITP))
 (337 74 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (315 117 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (312 52 (:REWRITE O-INFP->NEQ-0))
 (301 111 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (192 96 (:REWRITE CAR-OF-APPEND))
 (174 96 (:REWRITE RP::EVAL-OF-BIT-OF))
 (174 96 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (174 96 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (174 96 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (174 96 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (174 96 (:REWRITE RP::EVAL-OF-BINARY-?))
 (174 96 (:REWRITE RP::EVAL-OF----))
 (156 156 (:TYPE-PRESCRIPTION O-FINP))
 (156 52 (:REWRITE O-FIRST-EXPT-O-INFP))
 (139 1 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (136 1 (:DEFINITION RP::PP-TERM-P))
 (126 21 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (122 122 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (122 122 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (122 122 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (120 60 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (107 107 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (104 52 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (100 100 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (99 99 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (99 99 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (96 96 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (96 96 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (63 63 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (60 60 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (60 60 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (48 48 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (42 42 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (28 28 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (22 22 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (12 1 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (3 1 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 )
(RP::APPLY-SIGN-TO-PP-LISTS-OF-SIGN=NIL
 (5456 15 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (4850 5 (:DEFINITION TRUE-LISTP))
 (3647 16 (:DEFINITION RP::RP-TERM-LISTP))
 (3533 47 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (3285 47 (:DEFINITION QUOTEP))
 (3145 46 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (3118 26 (:DEFINITION APPLY$-BADGEP))
 (2470 20 (:DEFINITION SUBSETP-EQUAL))
 (2070 150 (:DEFINITION MEMBER-EQUAL))
 (1827 15 (:DEFINITION RP::RP-TERMP))
 (1730 47 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1425 1423 (:REWRITE DEFAULT-CDR))
 (1335 50 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (1300 80 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1020 5 (:DEFINITION RP::FALIST-CONSISTENT))
 (899 891 (:REWRITE DEFAULT-CAR))
 (790 5 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (300 300 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (260 260 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (248 71 (:REWRITE O-P-O-INFP-CAR))
 (240 240 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (175 10 (:DEFINITION NATP))
 (172 51 (:REWRITE RP::IS-IF-RP-TERMP))
 (160 160 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (140 140 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (125 15 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (122 122 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (109 109 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (96 96 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (95 15 (:DEFINITION BITP))
 (77 26 (:REWRITE RP::RP-TERMP-CADR))
 (75 30 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (62 26 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (60 5 (:REWRITE RP::LEN-TO-CONSP))
 (59 59 (:REWRITE O-P-DEF-O-FINP-1))
 (50 50 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (50 10 (:REWRITE RP::RP-TERMP-CADDDR))
 (50 5 (:REWRITE ZP-OPEN))
 (47 47 (:TYPE-PRESCRIPTION QUOTEP))
 (45 45 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (45 15 (:REWRITE RP::RP-TERMP-CADDR))
 (45 15 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (31 31 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (30 30 (:TYPE-PRESCRIPTION LEN))
 (30 5 (:DEFINITION ALL-NILS))
 (25 25 (:TYPE-PRESCRIPTION ALL-NILS))
 (25 10 (:REWRITE DEFAULT-<-2))
 (25 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (20 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (15 15 (:TYPE-PRESCRIPTION BITP))
 (15 15 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (10 10 (:REWRITE DEFAULT-<-1))
 (10 10 (:LINEAR LEN-WHEN-PREFIXP))
 (10 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 5 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (10 5 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (5 5 (:TYPE-PRESCRIPTION ZP))
 (5 5 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (5 5 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (5 5 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (5 5 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::APPLY-SIGN-TO-PP-LISTS-OF-APPEND
 (116 62 (:REWRITE DEFAULT-CAR))
 (76 34 (:REWRITE DEFAULT-CDR))
 (59 23 (:REWRITE O-P-O-INFP-CAR))
 (24 8 (:REWRITE CAR-OF-APPEND))
 (12 12 (:REWRITE O-P-DEF-O-FINP-1))
 (8 8 (:REWRITE CONSP-OF-APPEND))
 (4 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(RP::APPLY-SIGN-TO-PP-LISTS-OF-APPLY-SIGN-TO-PP-LISTS
 (122972 750 (:REWRITE RP::APPLY-SIGN-TO-PP-LISTS-OF-SIGN=NIL))
 (122727 84 (:DEFINITION RP::PP-LISTS-P))
 (120641 264 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (100061 88 (:DEFINITION TRUE-LISTP))
 (83219 786 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (74745 184 (:DEFINITION RP::RP-TERM-LISTP))
 (68162 778 (:DEFINITION QUOTEP))
 (65806 712 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (65460 360 (:DEFINITION APPLY$-BADGEP))
 (53842 352 (:DEFINITION SUBSETP-EQUAL))
 (46802 2640 (:DEFINITION MEMBER-EQUAL))
 (42618 434 (:DEFINITION RP::RP-TERMP))
 (31658 31202 (:REWRITE DEFAULT-CDR))
 (31155 786 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (29338 1408 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (28114 880 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (22358 250 (:DEFINITION RP::FALIST-CONSISTENT))
 (20316 18570 (:REWRITE DEFAULT-CAR))
 (14896 136 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (13470 11 (:REWRITE RP::PP-LISTS-P-OF-APPLY-SIGN-TO-PP-LISTS))
 (11742 2003 (:REWRITE RP::IS-IF-RP-TERMP))
 (7543 2419 (:REWRITE O-P-O-INFP-CAR))
 (6437 1193 (:REWRITE RP::RP-TERMP-CADR))
 (5280 5280 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4576 4576 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (4224 4224 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (3881 602 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (3443 602 (:REWRITE RP::RP-TERMP-CADDR))
 (3410 176 (:DEFINITION NATP))
 (3285 3285 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (2816 2816 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (2464 2464 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2420 264 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (2004 2004 (:TYPE-PRESCRIPTION RP::PP-LISTS-P))
 (1892 264 (:DEFINITION BITP))
 (1836 1836 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (1708 1708 (:REWRITE O-P-DEF-O-FINP-1))
 (1592 1592 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (1502 208 (:REWRITE RP::RP-TERMP-CADDDR))
 (1452 528 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (1250 250 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1078 88 (:REWRITE RP::LEN-TO-CONSP))
 (918 360 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (902 88 (:REWRITE ZP-OPEN))
 (880 880 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (792 792 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (778 778 (:TYPE-PRESCRIPTION QUOTEP))
 (658 658 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (528 528 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (528 528 (:TYPE-PRESCRIPTION LEN))
 (528 88 (:DEFINITION ALL-NILS))
 (500 500 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (440 440 (:TYPE-PRESCRIPTION ALL-NILS))
 (440 176 (:REWRITE DEFAULT-<-2))
 (396 176 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (264 264 (:TYPE-PRESCRIPTION BITP))
 (264 264 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (250 250 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (198 88 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (198 88 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (176 176 (:REWRITE DEFAULT-<-1))
 (176 176 (:LINEAR LEN-WHEN-PREFIXP))
 (176 88 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (88 88 (:TYPE-PRESCRIPTION ZP))
 (88 88 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (88 88 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (88 88 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (88 88 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (88 88 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (88 88 (:LINEAR BOUNDS-POSITION-EQUAL))
 (84 84 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(RP::BIT-LIST-LISTP-OF-APPLY-SIGN-TO-PP-LISTS
 (305 21 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (276 87 (:REWRITE O-P-O-INFP-CAR))
 (248 158 (:REWRITE DEFAULT-CDR))
 (242 21 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (215 4 (:REWRITE RP::BIT-LISTP-LEMMA))
 (152 109 (:REWRITE DEFAULT-CAR))
 (137 21 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (126 126 (:TYPE-PRESCRIPTION O-P))
 (116 21 (:DEFINITION RP::RP-TRANS-LST))
 (105 105 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (98 21 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (70 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (66 11 (:REWRITE O-INFP->NEQ-0))
 (63 63 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (63 63 (:REWRITE O-P-DEF-O-FINP-1))
 (60 5 (:DEFINITION RP::IS-SYNP$INLINE))
 (33 33 (:TYPE-PRESCRIPTION O-FINP))
 (33 11 (:REWRITE O-FIRST-EXPT-O-INFP))
 (30 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (22 11 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (15 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (5 5 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (5 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::SIGN-CONVERT-APPLY-SIGN-TO-PP-LISTS
 (100924 77 (:REWRITE RP::APPLY-SIGN-TO-PP-LISTS-OF-SIGN=NIL))
 (100719 66 (:DEFINITION RP::PP-LISTS-P))
 (99204 198 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (71935 66 (:DEFINITION TRUE-LISTP))
 (68438 705 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (52328 132 (:DEFINITION RP::RP-TERM-LISTP))
 (45656 443 (:DEFINITION RP::RP-TERMP))
 (44322 500 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (44124 264 (:DEFINITION APPLY$-BADGEP))
 (35836 264 (:DEFINITION SUBSETP-EQUAL))
 (30556 1980 (:DEFINITION MEMBER-EQUAL))
 (30068 29106 (:REWRITE DEFAULT-CDR))
 (24860 705 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (22956 309 (:DEFINITION RP::FALIST-CONSISTENT))
 (19180 1056 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (19036 660 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (18466 17620 (:REWRITE DEFAULT-CAR))
 (15445 2277 (:REWRITE RP::IS-IF-RP-TERMP))
 (13263 183 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (7324 2284 (:REWRITE O-P-O-INFP-CAR))
 (6985 1217 (:REWRITE RP::RP-TERMP-CADR))
 (6842 854 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (6242 854 (:REWRITE RP::RP-TERMP-CADDR))
 (3960 3960 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3432 3432 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (3310 3310 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (3168 3168 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (2366 132 (:DEFINITION NATP))
 (2112 2112 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (1848 1848 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1680 1680 (:REWRITE O-P-DEF-O-FINP-1))
 (1636 206 (:REWRITE RP::RP-TERMP-CADDDR))
 (1608 1608 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (1597 355 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1534 200 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (1325 225 (:DEFINITION BITP))
 (1264 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (1202 1202 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (936 52 (:DEFINITION RP::TRANS-LIST))
 (934 368 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (750 750 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (708 66 (:REWRITE RP::LEN-TO-CONSP))
 (705 705 (:TYPE-PRESCRIPTION QUOTEP))
 (702 702 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (672 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (660 660 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (660 264 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (654 654 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (648 648 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (603 11 (:REWRITE RP::BIT-LISTP-LEMMA))
 (596 4 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (589 58 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (576 66 (:REWRITE ZP-OPEN))
 (556 4 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (544 4 (:DEFINITION RP::PP-TERM-P))
 (509 33 (:DEFINITION RP::BIT-LISTP))
 (482 40 (:DEFINITION RP::IS-SYNP$INLINE))
 (441 31 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (402 312 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (396 396 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (396 396 (:TYPE-PRESCRIPTION LEN))
 (396 66 (:DEFINITION ALL-NILS))
 (355 355 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (348 31 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (330 330 (:TYPE-PRESCRIPTION ALL-NILS))
 (326 36 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (323 323 (:TYPE-PRESCRIPTION RP::PP-LISTS-P))
 (288 132 (:REWRITE DEFAULT-<-2))
 (264 132 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (234 28 (:DEFINITION RP::INCLUDE-FNC))
 (225 39 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (211 211 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (202 94 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (198 198 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (188 94 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (177 177 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (174 39 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (161 66 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (134 25 (:REWRITE O-INFP->NEQ-0))
 (132 132 (:REWRITE DEFAULT-<-1))
 (132 132 (:LINEAR LEN-WHEN-PREFIXP))
 (128 48 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (112 112 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (104 52 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (94 94 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (88 88 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (76 4 (:DEFINITION RP::RP-EQUAL))
 (72 12 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (66 66 (:TYPE-PRESCRIPTION ZP))
 (66 66 (:TYPE-PRESCRIPTION BOOLEANP))
 (66 66 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (66 66 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (66 66 (:LINEAR BOUNDS-POSITION-EQUAL))
 (64 36 (:REWRITE RP::EVAL-OF-BIT-OF))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-?))
 (64 36 (:REWRITE RP::EVAL-OF----))
 (63 63 (:TYPE-PRESCRIPTION O-FINP))
 (63 21 (:REWRITE O-FIRST-EXPT-O-INFP))
 (58 58 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (58 58 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (52 52 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (52 52 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (51 51 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (46 2 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (46 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (42 21 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (36 36 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (36 36 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (12 12 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (12 4 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (10 10 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 8 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (4 4 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (4 4 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 )
(RP::BIT-LIST-P-WITH-CONSTANTS-1
 (14 2 (:DEFINITION BITP))
 (12 2 (:REWRITE O-INFP->NEQ-0))
 (6 6 (:TYPE-PRESCRIPTION O-FINP))
 (6 2 (:REWRITE O-FIRST-EXPT-O-INFP))
 (4 2 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(RP::BIT-LIST-P-DEF
 (30 5 (:REWRITE O-INFP->NEQ-0))
 (15 15 (:TYPE-PRESCRIPTION O-FINP))
 (15 5 (:REWRITE O-FIRST-EXPT-O-INFP))
 (10 5 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(RP::PP-LISTS-TO-TERM-AND$-DEF-1
 (6 6 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE DEFAULT-CAR))
 )
(RP::PP-LISTS-TO-TERM-AND$-DEF-2
 (1 1 (:REWRITE RP::PP-LISTS-TO-TERM-AND$-DEF-1))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(RP::PP-LISTS-TO-TERM-AND$-DEF
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE RP::PP-LISTS-TO-TERM-AND$-DEF-2))
 (1 1 (:REWRITE RP::PP-LISTS-TO-TERM-AND$-DEF-1))
 )
(RP::PP-LISTS-TO-TERM-P+-DEF
 (63 31 (:REWRITE DEFAULT-CDR))
 (42 34 (:REWRITE DEFAULT-CAR))
 (40 16 (:REWRITE O-P-O-INFP-CAR))
 (16 16 (:TYPE-PRESCRIPTION O-P))
 (8 8 (:REWRITE O-P-DEF-O-FINP-1))
 )
(RP::ATOM-MERGE-SORTED-AND$-LISTS
 (726 363 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (363 363 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (138 12 (:REWRITE <<-IMPLIES-LEXORDER))
 (90 23 (:REWRITE <<-TRICHOTOMY))
 (68 68 (:TYPE-PRESCRIPTION <<))
 (57 57 (:REWRITE DEFAULT-CAR))
 (37 37 (:REWRITE DEFAULT-CDR))
 (23 23 (:REWRITE <<-TRANSITIVE))
 (22 11 (:REWRITE <<-ASYMMETRIC))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(RP::DUMMY-LEMMA1)
(RP::EVAL-OF-LIST-TO-TERM-OF-MERGE-SORTED-AND$-LIST
 (18228 62 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (18110 88 (:DEFINITION RP::RP-TERM-LISTP))
 (12558 11740 (:REWRITE DEFAULT-CDR))
 (9938 58 (:DEFINITION RP::RP-TERMP))
 (8881 7454 (:REWRITE DEFAULT-CAR))
 (7269 143 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (6552 40 (:DEFINITION RP::FALIST-CONSISTENT))
 (6431 31 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (6393 19 (:DEFINITION APPLY$-BADGEP))
 (5863 3466 (:REWRITE O-P-O-INFP-CAR))
 (5160 48 (:DEFINITION SUBSETP-EQUAL))
 (5056 32 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (4216 315 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (4200 360 (:DEFINITION MEMBER-EQUAL))
 (4107 143 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (3654 203 (:DEFINITION RP::TRANS-LIST))
 (3630 240 (:DEFINITION RP::IS-SYNP$INLINE))
 (2868 120 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (2640 192 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (2530 46 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (2448 18 (:DEFINITION RP::PP-TERM-P))
 (1919 199 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (1416 152 (:DEFINITION RP::INCLUDE-FNC))
 (1179 609 (:REWRITE O-P-DEF-O-FINP-1))
 (1167 288 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (999 315 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (878 86 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (808 308 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (720 720 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (672 672 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (664 664 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (648 72 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (624 624 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (576 576 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (543 315 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (543 315 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (543 315 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (532 147 (:REWRITE RP::IS-IF-RP-TERMP))
 (504 504 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (468 468 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (396 396 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (384 384 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (360 360 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (351 199 (:REWRITE RP::EVAL-OF-BIT-OF))
 (351 199 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (351 199 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (351 199 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (351 199 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (351 199 (:REWRITE RP::EVAL-OF-BINARY-?))
 (351 199 (:REWRITE RP::EVAL-OF----))
 (350 350 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (342 29 (:REWRITE <<-IMPLIES-LEXORDER))
 (338 95 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (336 336 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (312 24 (:DEFINITION NATP))
 (308 308 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (288 288 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (284 83 (:REWRITE RP::RP-TERMP-CADR))
 (280 280 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (248 64 (:REWRITE RP::RP-TERMP-CADDR))
 (248 64 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (228 228 (:TYPE-PRESCRIPTION O-FINP))
 (226 57 (:REWRITE <<-TRICHOTOMY))
 (199 199 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (199 199 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (186 31 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (173 173 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (170 170 (:TYPE-PRESCRIPTION <<))
 (143 143 (:TYPE-PRESCRIPTION QUOTEP))
 (120 120 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (115 115 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (84 36 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (82 46 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (72 72 (:TYPE-PRESCRIPTION LEN))
 (72 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (72 12 (:REWRITE RP::LEN-TO-CONSP))
 (72 12 (:DEFINITION ALL-NILS))
 (62 62 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (62 62 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (62 19 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (60 60 (:TYPE-PRESCRIPTION ALL-NILS))
 (57 57 (:REWRITE <<-TRANSITIVE))
 (56 28 (:REWRITE <<-ASYMMETRIC))
 (48 24 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (48 12 (:REWRITE ZP-OPEN))
 (36 36 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (27 27 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (24 24 (:REWRITE DEFAULT-<-2))
 (24 24 (:REWRITE DEFAULT-<-1))
 (24 24 (:LINEAR LEN-WHEN-PREFIXP))
 (24 12 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (24 12 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (12 12 (:TYPE-PRESCRIPTION ZP))
 (12 12 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (12 12 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (12 12 (:LINEAR BOUNDS-POSITION-EQUAL))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(RP::BIT-LISTP-OF-MERGE-SORTED-AND$-LISTS
 (2319 1710 (:REWRITE O-P-O-INFP-CAR))
 (1555 1137 (:REWRITE DEFAULT-CDR))
 (1080 614 (:REWRITE DEFAULT-CAR))
 (1063 58 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (957 44 (:DEFINITION RP::IS-SYNP$INLINE))
 (788 63 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (656 16 (:DEFINITION RP::RP-TRANS))
 (619 53 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (560 8 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (544 4 (:DEFINITION RP::PP-TERM-P))
 (454 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (423 93 (:REWRITE O-P-DEF-O-FINP-1))
 (369 50 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (288 16 (:DEFINITION RP::TRANS-LIST))
 (287 287 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (278 139 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (222 63 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (192 192 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (190 58 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (190 58 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (190 58 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (176 44 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (170 16 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (139 139 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (132 132 (:TYPE-PRESCRIPTION O-FINP))
 (132 11 (:DEFINITION RP::INCLUDE-FNC))
 (128 16 (:DEFINITION RP::IS-FALIST))
 (112 112 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (88 88 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (70 27 (:DEFINITION QUOTEP))
 (54 5 (:REWRITE <<-IMPLIES-LEXORDER))
 (48 48 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (44 44 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (34 9 (:REWRITE <<-TRICHOTOMY))
 (26 26 (:TYPE-PRESCRIPTION <<))
 (16 16 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (16 16 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (16 16 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (16 16 (:REWRITE RP::EVAL-OF-BIT-OF))
 (16 16 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (16 16 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (16 16 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (16 16 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (16 16 (:REWRITE RP::EVAL-OF-BINARY-?))
 (16 16 (:REWRITE RP::EVAL-OF----))
 (16 8 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (9 9 (:REWRITE <<-TRANSITIVE))
 (8 8 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 4 (:REWRITE <<-ASYMMETRIC))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(RP::BITP-BITLISTP-LEMMA
 (566 14 (:DEFINITION RP::RP-TRANS))
 (458 396 (:REWRITE DEFAULT-CDR))
 (431 279 (:REWRITE O-P-O-INFP-CAR))
 (331 19 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (293 19 (:DEFINITION RP::IS-SYNP$INLINE))
 (289 183 (:REWRITE DEFAULT-CAR))
 (252 14 (:DEFINITION RP::TRANS-LIST))
 (202 14 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (160 14 (:DEFINITION RP::INCLUDE-FNC))
 (112 14 (:DEFINITION RP::IS-FALIST))
 (92 19 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (84 34 (:REWRITE O-P-DEF-O-FINP-1))
 (84 14 (:REWRITE O-INFP->NEQ-0))
 (79 19 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (75 5 (:DEFINITION RP::BIT-LISTP))
 (70 28 (:DEFINITION QUOTEP))
 (62 62 (:TYPE-PRESCRIPTION O-FINP))
 (45 45 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (42 14 (:REWRITE O-FIRST-EXPT-O-INFP))
 (39 19 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (39 19 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (39 19 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (39 19 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (39 19 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (33 33 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (28 14 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (20 15 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (20 5 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (19 19 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (19 19 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (14 14 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (14 14 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (14 14 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (14 14 (:REWRITE RP::EVAL-OF-BIT-OF))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (14 14 (:REWRITE RP::EVAL-OF-BINARY-?))
 (14 14 (:REWRITE RP::EVAL-OF----))
 (12 1 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (9 1 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 )
(RP::CONSP-BIT-LISTP-LEMMA
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::BIT-LISTP-OF-CUT-LIST-BY-HALF
 (552 412 (:REWRITE O-P-O-INFP-CAR))
 (290 214 (:REWRITE DEFAULT-CDR))
 (244 10 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (224 10 (:DEFINITION RP::IS-SYNP$INLINE))
 (204 17 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (194 112 (:REWRITE DEFAULT-CAR))
 (153 17 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (106 10 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (100 20 (:REWRITE O-P-DEF-O-FINP-1))
 (89 89 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (86 10 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (84 21 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (82 2 (:DEFINITION RP::RP-TRANS))
 (57 57 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (42 10 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (42 10 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (42 10 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (42 10 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (42 10 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (40 40 (:TYPE-PRESCRIPTION O-P))
 (36 2 (:DEFINITION RP::TRANS-LIST))
 (32 32 (:TYPE-PRESCRIPTION O-FINP))
 (30 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (28 16 (:REWRITE DEFAULT-<-2))
 (24 2 (:DEFINITION RP::INCLUDE-FNC))
 (22 10 (:REWRITE ZP-OPEN))
 (20 20 (:LINEAR LEN-WHEN-PREFIXP))
 (19 16 (:REWRITE DEFAULT-<-1))
 (17 17 (:REWRITE DEFAULT-+-2))
 (17 17 (:REWRITE DEFAULT-+-1))
 (16 2 (:DEFINITION RP::IS-FALIST))
 (12 12 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (12 4 (:REWRITE FOLD-CONSTS-IN-+))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (10 10 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (10 10 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (10 10 (:LINEAR BOUNDS-POSITION-EQUAL))
 (10 4 (:DEFINITION QUOTEP))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (2 2 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (2 2 (:REWRITE RP::EVAL-OF-BIT-OF))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-?))
 (2 2 (:REWRITE RP::EVAL-OF----))
 (2 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (1 1 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::BIT-LIST-LISTP-OF-CUT-LIST-BY-HALF
 (718 50 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (584 185 (:REWRITE O-P-O-INFP-CAR))
 (568 50 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (465 259 (:REWRITE DEFAULT-CDR))
 (375 11 (:REWRITE RP::BIT-LISTP-LEMMA))
 (318 50 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (268 50 (:DEFINITION RP::RP-TRANS-LST))
 (266 266 (:TYPE-PRESCRIPTION O-P))
 (252 100 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (250 250 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (234 50 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (218 208 (:REWRITE DEFAULT-CAR))
 (200 200 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (150 150 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (133 133 (:REWRITE O-P-DEF-O-FINP-1))
 (28 16 (:REWRITE DEFAULT-<-2))
 (22 10 (:REWRITE ZP-OPEN))
 (20 20 (:LINEAR LEN-WHEN-PREFIXP))
 (19 16 (:REWRITE DEFAULT-<-1))
 (17 17 (:REWRITE DEFAULT-+-2))
 (17 17 (:REWRITE DEFAULT-+-1))
 (12 12 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (12 4 (:REWRITE FOLD-CONSTS-IN-+))
 (10 10 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (10 10 (:LINEAR BOUNDS-POSITION-EQUAL))
 (2 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (1 1 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::LEMMA1
 (7 7 (:REWRITE ZP-OPEN))
 (6 6 (:REWRITE DEFAULT-CAR))
 (5 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 )
(RP::EVAL-OF-CUT-LIST-BY-HALF
 (11052 25 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (11013 39 (:DEFINITION RP::RP-TERM-LISTP))
 (7435 6970 (:REWRITE DEFAULT-CDR))
 (6587 28 (:DEFINITION RP::RP-TERMP))
 (5899 61 (:REWRITE RP::BITP-BITLISTP-LEMMA))
 (5236 4396 (:REWRITE DEFAULT-CAR))
 (4305 28 (:DEFINITION RP::FALIST-CONSISTENT))
 (4138 73 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (3731 14 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (3717 7 (:DEFINITION APPLY$-BADGEP))
 (3318 21 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (3010 28 (:DEFINITION SUBSETP-EQUAL))
 (2450 210 (:DEFINITION MEMBER-EQUAL))
 (2434 73 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2423 1151 (:REWRITE O-P-O-INFP-CAR))
 (2367 61 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (2250 125 (:DEFINITION RP::TRANS-LIST))
 (2132 62 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (2040 15 (:DEFINITION RP::PP-TERM-P))
 (1729 166 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1673 70 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (1540 112 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1448 104 (:DEFINITION RP::IS-SYNP$INLINE))
 (929 117 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (672 70 (:DEFINITION RP::INCLUDE-FNC))
 (524 374 (:REWRITE O-P-DEF-O-FINP-1))
 (472 159 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (420 420 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (420 420 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (409 153 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (364 364 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (346 166 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (336 336 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (336 91 (:REWRITE RP::IS-IF-RP-TERMP))
 (330 330 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (297 297 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (261 78 (:REWRITE ZP-OPEN))
 (255 255 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (252 24 (:DEFINITION RP::BIT-LISTP))
 (226 166 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (226 166 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (226 166 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (224 224 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (219 219 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (215 215 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (196 196 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (189 189 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (188 23 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (187 117 (:REWRITE RP::EVAL-OF-BIT-OF))
 (187 117 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (187 117 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (187 117 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (187 117 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (187 117 (:REWRITE RP::EVAL-OF-BINARY-?))
 (187 117 (:REWRITE RP::EVAL-OF----))
 (182 14 (:DEFINITION NATP))
 (169 169 (:REWRITE DEFAULT-+-2))
 (169 169 (:REWRITE DEFAULT-+-1))
 (168 49 (:REWRITE RP::RP-TERMP-CADR))
 (168 42 (:REWRITE RP::RP-TERMP-CADDR))
 (168 42 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (162 54 (:REWRITE FOLD-CONSTS-IN-+))
 (153 153 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (149 149 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (135 15 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (120 120 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (119 96 (:REWRITE DEFAULT-<-2))
 (117 117 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (117 117 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (114 19 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (113 113 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (108 96 (:REWRITE DEFAULT-<-1))
 (101 72 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (92 62 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (76 25 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (73 73 (:TYPE-PRESCRIPTION QUOTEP))
 (70 70 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (63 63 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (60 60 (:TYPE-PRESCRIPTION O-FINP))
 (60 60 (:LINEAR LEN-WHEN-PREFIXP))
 (49 21 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (42 21 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (42 7 (:REWRITE RP::LEN-TO-CONSP))
 (42 7 (:DEFINITION ALL-NILS))
 (38 38 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (35 35 (:TYPE-PRESCRIPTION ALL-NILS))
 (30 30 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (30 30 (:LINEAR BOUNDS-POSITION-EQUAL))
 (29 29 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (28 14 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (28 7 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (25 25 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (21 21 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (14 7 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (14 7 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (8 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (4 4 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::PP-LISTS-TO-TERM-P+-WHEN-NOT-CONSP)
(RP::EVAL-OF-CUT-LIST-BY-HALF-WITH-PP-SUM
 (6000 5047 (:REWRITE DEFAULT-CDR))
 (5983 59 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (5911 4698 (:REWRITE DEFAULT-CAR))
 (3216 57 (:REWRITE RP::BIT-LISTP-LEMMA))
 (3145 95 (:DEFINITION RP::RP-TERM-LISTP))
 (3053 274 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (2918 152 (:DEFINITION RP::RP-TERMP))
 (2736 152 (:DEFINITION RP::TRANS-LIST))
 (2375 144 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (2166 231 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (2023 2023 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (1895 274 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1745 145 (:DEFINITION RP::IS-SYNP$INLINE))
 (1229 149 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (1131 110 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (1125 967 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (1080 312 (:REWRITE O-P-O-INFP-CAR))
 (1064 89 (:DEFINITION RP::BIT-LISTP))
 (864 108 (:DEFINITION RP::INCLUDE-FNC))
 (857 82 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (644 214 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (634 167 (:REWRITE RP::IS-IF-RP-TERMP))
 (629 165 (:REWRITE RP::RP-TERMP-CADR))
 (626 626 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (616 213 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (607 607 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (570 570 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (500 500 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (499 151 (:REWRITE ZP-OPEN))
 (475 95 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (418 4 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (412 116 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (408 3 (:DEFINITION RP::PP-TERM-P))
 (367 367 (:REWRITE DEFAULT-+-2))
 (367 367 (:REWRITE DEFAULT-+-1))
 (348 116 (:REWRITE FOLD-CONSTS-IN-+))
 (308 28 (:REWRITE RP::BIT-LIST-P-DEF))
 (285 95 (:DEFINITION APPLY$-BADGEP))
 (257 149 (:REWRITE RP::EVAL-OF-BIT-OF))
 (257 149 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (257 149 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (257 149 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (257 149 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (257 149 (:REWRITE RP::EVAL-OF-BINARY-?))
 (257 149 (:REWRITE RP::EVAL-OF----))
 (256 256 (:REWRITE O-P-DEF-O-FINP-1))
 (249 249 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (238 238 (:TYPE-PRESCRIPTION QUOTEP))
 (231 231 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (231 231 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (222 37 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (221 172 (:REWRITE DEFAULT-<-2))
 (195 195 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (190 172 (:REWRITE DEFAULT-<-1))
 (190 95 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (155 147 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (149 149 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (149 149 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (147 147 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (126 14 (:DEFINITION ASSOC-EQUAL))
 (115 115 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (98 98 (:LINEAR LEN-WHEN-PREFIXP))
 (95 95 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (84 84 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (74 74 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (66 66 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (59 59 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (49 49 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (49 49 (:LINEAR BOUNDS-POSITION-EQUAL))
 (48 48 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (45 1 (:REWRITE RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX))
 (22 2 (:DEFINITION RP::FALIST-CONSISTENT))
 (19 1 (:DEFINITION INTEGER-LISTP))
 (17 17 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (12 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 4 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (8 4 (:REWRITE O-INFP->NEQ-0))
 (6 6 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (6 6 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (5 5 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (4 2 (:REWRITE RP::RP-TERMP-CADDR))
 (4 2 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::POS-LEN-IMPLIES-FC
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::BIT-LISTP-OF-SORT-AND$-LIST
 (4434 34 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (2552 2094 (:REWRITE DEFAULT-CDR))
 (1966 34 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (1904 14 (:DEFINITION RP::PP-TERM-P))
 (1819 1232 (:REWRITE DEFAULT-CAR))
 (1763 43 (:DEFINITION RP::RP-TRANS))
 (1194 778 (:REWRITE O-P-O-INFP-CAR))
 (782 54 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (774 43 (:DEFINITION RP::TRANS-LIST))
 (710 59 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (628 50 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (606 35 (:DEFINITION RP::IS-SYNP$INLINE))
 (392 392 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (344 43 (:DEFINITION RP::IS-FALIST))
 (329 35 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (308 308 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (292 292 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (284 82 (:REWRITE RP::ATOM-MERGE-SORTED-AND$-LISTS))
 (252 54 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (252 21 (:DEFINITION RP::INCLUDE-FNC))
 (232 92 (:REWRITE O-P-DEF-O-FINP-1))
 (228 114 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (227 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (221 53 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (207 207 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (171 64 (:DEFINITION QUOTEP))
 (115 59 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (115 59 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (115 59 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (114 114 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (97 97 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (91 35 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (90 8 (:REWRITE <<-IMPLIES-LEXORDER))
 (62 34 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (58 15 (:REWRITE <<-TRICHOTOMY))
 (56 56 (:TYPE-PRESCRIPTION O-FINP))
 (56 8 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (49 49 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (48 30 (:REWRITE DEFAULT-<-2))
 (44 44 (:TYPE-PRESCRIPTION <<))
 (44 44 (:LINEAR LEN-WHEN-PREFIXP))
 (43 43 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (40 8 (:DEFINITION APPLY$-BADGEP))
 (36 30 (:REWRITE DEFAULT-<-1))
 (35 35 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (35 35 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (35 35 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (35 35 (:REWRITE RP::EVAL-OF-BIT-OF))
 (35 35 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (35 35 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (35 35 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (35 35 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (35 35 (:REWRITE RP::EVAL-OF-BINARY-?))
 (35 35 (:REWRITE RP::EVAL-OF----))
 (32 8 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (24 6 (:REWRITE RP::FLOOR-OF-TWO-IS-LESS))
 (22 22 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (22 22 (:LINEAR BOUNDS-POSITION-EQUAL))
 (18 9 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 9 (:REWRITE DEFAULT-+-2))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (14 7 (:REWRITE <<-ASYMMETRIC))
 (9 9 (:REWRITE DEFAULT-+-1))
 (8 8 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (6 6 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(RP::EVAL-OF-LIST-TO-TERM-OF-SORT-AND$-LIST
 (1430 198 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (1010 202 (:DEFINITION RP::TRANS-LIST))
 (897 293 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (883 281 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (880 176 (:DEFINITION RP::INCLUDE-FNC))
 (636 636 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (523 523 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (520 52 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (507 17 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (470 10 (:DEFINITION RP::PP-TERM-P))
 (426 71 (:REWRITE O-INFP->NEQ-0))
 (420 37 (:REWRITE <<-IMPLIES-LEXORDER))
 (414 69 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (364 52 (:DEFINITION RP::RP-EQUAL))
 (349 35 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (335 293 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (335 293 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (335 293 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (325 259 (:DEFINITION RP::IS-SYNP$INLINE))
 (312 26 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (312 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (306 306 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (301 259 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (289 289 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (280 280 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (272 70 (:REWRITE <<-TRICHOTOMY))
 (259 259 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (244 35 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (220 220 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (213 213 (:TYPE-PRESCRIPTION O-FINP))
 (213 71 (:REWRITE O-FIRST-EXPT-O-INFP))
 (207 207 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (206 206 (:TYPE-PRESCRIPTION <<))
 (198 198 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (198 198 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (198 198 (:REWRITE RP::EVAL-OF-BIT-OF))
 (198 198 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (198 198 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (198 198 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (198 198 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (198 198 (:REWRITE RP::EVAL-OF-BINARY-?))
 (198 198 (:REWRITE RP::EVAL-OF----))
 (188 188 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (156 156 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (156 39 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (156 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (142 71 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (138 138 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (126 68 (:REWRITE DEFAULT-<-2))
 (104 104 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (104 52 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (104 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (78 78 (:LINEAR LEN-WHEN-PREFIXP))
 (73 68 (:REWRITE DEFAULT-<-1))
 (70 70 (:REWRITE <<-TRANSITIVE))
 (66 33 (:REWRITE <<-ASYMMETRIC))
 (54 54 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (52 52 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (52 52 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 (39 39 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (39 39 (:LINEAR BOUNDS-POSITION-EQUAL))
 (37 17 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (28 14 (:REWRITE DEFAULT-UNARY-MINUS))
 (28 14 (:REWRITE DEFAULT-+-2))
 (20 5 (:REWRITE RP::FLOOR-OF-TWO-IS-LESS))
 (14 14 (:REWRITE DEFAULT-+-1))
 (12 12 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (4 4 (:REWRITE <<-IRREFLEXIVE))
 )
(RP::TWO-PP-LIST-CANCEL-EACH-OTHER
 (52 25 (:REWRITE DEFAULT-+-2))
 (36 25 (:REWRITE DEFAULT-+-1))
 (30 1 (:REWRITE O<=-O-FINP-DEF))
 (24 6 (:REWRITE COMMUTATIVITY-OF-+))
 (24 6 (:DEFINITION INTEGER-ABS))
 (20 5 (:REWRITE O-P-O-INFP-CAR))
 (19 11 (:REWRITE DEFAULT-CAR))
 (16 8 (:REWRITE DEFAULT-CDR))
 (12 3 (:DEFINITION LENGTH))
 (9 7 (:REWRITE DEFAULT-<-2))
 (9 3 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (8 8 (:REWRITE FOLD-CONSTS-IN-+))
 (8 7 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 3 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (5 5 (:REWRITE O-P-DEF-O-FINP-1))
 (4 4 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-3))
 (4 1 (:REWRITE AC-<))
 (3 3 (:TYPE-PRESCRIPTION BITP))
 (3 3 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE INTEGERP==>NUMERATOR-=-X))
 (3 3 (:REWRITE INTEGERP==>DENOMINATOR-=-1))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3 3 (:REWRITE DEFAULT-REALPART))
 (3 3 (:REWRITE DEFAULT-NUMERATOR))
 (3 3 (:REWRITE DEFAULT-IMAGPART))
 (3 3 (:REWRITE DEFAULT-DENOMINATOR))
 (3 3 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-2))
 (3 3 (:DEFINITION BITP))
 (2 2 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-1))
 (2 2 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-0))
 (2 1 (:REWRITE O-INFP-O-FINP-O<=))
 (1 1 (:REWRITE |a < b & b < c  =>  a < c|))
 )
(RP::WHEN-SORT-AND$-LIST-IS-EQUAL-WITH-OPPOSITE-SIGNS
 (2053 7 (:DEFINITION RP::RP-TERMP))
 (1428 7 (:DEFINITION RP::FALIST-CONSISTENT))
 (1176 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (1150 1105 (:REWRITE DEFAULT-CDR))
 (1106 7 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (872 3 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (853 1 (:DEFINITION TRUE-LISTP))
 (788 707 (:REWRITE DEFAULT-CAR))
 (628 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (611 27 (:DEFINITION QUOTEP))
 (592 10 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (589 2 (:DEFINITION RP::RP-TERM-LISTP))
 (552 4 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (542 4 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (540 1 (:DEFINITION APPLY$-BADGEP))
 (448 12 (:DEFINITION RP::RP-TRANS))
 (430 4 (:DEFINITION SUBSETP-EQUAL))
 (350 30 (:DEFINITION MEMBER-EQUAL))
 (294 84 (:REWRITE O-P-O-INFP-CAR))
 (292 10 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (239 10 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (220 16 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (216 12 (:DEFINITION RP::TRANS-LIST))
 (157 157 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (115 11 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (96 12 (:DEFINITION RP::IS-FALIST))
 (96 8 (:DEFINITION RP::IS-SYNP$INLINE))
 (88 4 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (76 4 (:DEFINITION RP::RP-EQUAL))
 (70 70 (:REWRITE O-P-DEF-O-FINP-1))
 (63 63 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (60 60 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (60 29 (:REWRITE RP::IS-IF-RP-TERMP))
 (58 8 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (55 21 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (52 52 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (48 48 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (48 2 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (48 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (45 45 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (40 5 (:DEFINITION RP::INCLUDE-FNC))
 (37 37 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (36 3 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (34 2 (:DEFINITION NATP))
 (32 32 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (32 15 (:REWRITE RP::RP-TERMP-CADR))
 (28 28 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (28 14 (:REWRITE RP::RP-TERMP-CADDR))
 (28 14 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (27 11 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (27 3 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (25 25 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (25 25 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (24 24 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (23 23 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (21 21 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (18 3 (:REWRITE O-INFP->NEQ-0))
 (18 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (15 3 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (13 13 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (13 8 (:REWRITE RP::EVAL-OF-BIT-OF))
 (13 8 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (13 8 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (13 8 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (13 8 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (13 8 (:REWRITE RP::EVAL-OF-BINARY-?))
 (13 8 (:REWRITE RP::EVAL-OF----))
 (12 12 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (12 3 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (12 3 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (11 11 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (11 11 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (11 11 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (10 10 (:TYPE-PRESCRIPTION QUOTEP))
 (10 10 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (9 9 (:TYPE-PRESCRIPTION O-FINP))
 (9 3 (:REWRITE O-FIRST-EXPT-O-INFP))
 (9 3 (:DEFINITION RP::RP-TRANS-LST))
 (8 8 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (8 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (8 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 6 (:TYPE-PRESCRIPTION LEN))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (6 3 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (6 3 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (6 3 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (6 1 (:REWRITE RP::LEN-TO-CONSP))
 (6 1 (:DEFINITION ALL-NILS))
 (5 5 (:TYPE-PRESCRIPTION ALL-NILS))
 (4 4 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (4 4 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 (4 2 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (4 1 (:REWRITE ZP-OPEN))
 (4 1 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (3 3 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:TYPE-PRESCRIPTION BITP))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 1 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES
 (20233 54 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (17953 18 (:DEFINITION TRUE-LISTP))
 (13351 50 (:DEFINITION RP::RP-TERM-LISTP))
 (13088 154 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (11552 138 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (11470 86 (:DEFINITION APPLY$-BADGEP))
 (9180 72 (:DEFINITION SUBSETP-EQUAL))
 (7978 7241 (:REWRITE DEFAULT-CDR))
 (7740 540 (:DEFINITION MEMBER-EQUAL))
 (6662 72 (:DEFINITION RP::RP-TERMP))
 (6197 154 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (5110 4624 (:REWRITE DEFAULT-CAR))
 (4932 180 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (4860 288 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (3716 22 (:DEFINITION RP::FALIST-CONSISTENT))
 (2844 18 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (2048 617 (:REWRITE O-P-O-INFP-CAR))
 (1411 19 (:REWRITE RP::BIT-LISTP-LEMMA))
 (1080 1080 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (985 283 (:REWRITE RP::IS-IF-RP-TERMP))
 (936 936 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (870 6 (:REWRITE RP::TYPE-FIX-WHEN-BITP))
 (864 864 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (834 6 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (816 6 (:DEFINITION RP::PP-TERM-P))
 (670 36 (:DEFINITION NATP))
 (668 52 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (666 37 (:DEFINITION RP::TRANS-LIST))
 (604 69 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (576 576 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (567 189 (:REWRITE RP::RP-TERMP-CADR))
 (535 535 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (520 48 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (504 504 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (484 52 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (477 477 (:REWRITE O-P-DEF-O-FINP-1))
 (386 32 (:DEFINITION RP::IS-SYNP$INLINE))
 (362 362 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (350 54 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (348 348 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (280 280 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (270 65 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (234 36 (:REWRITE RP::RP-TERMP-CADDDR))
 (230 88 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (224 24 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (209 58 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (208 86 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (204 204 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (197 58 (:REWRITE RP::RP-TERMP-CADDR))
 (192 38 (:REWRITE O-INFP->NEQ-0))
 (180 180 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (168 168 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (162 162 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (160 20 (:DEFINITION RP::INCLUDE-FNC))
 (156 18 (:REWRITE RP::LEN-TO-CONSP))
 (150 150 (:TYPE-PRESCRIPTION QUOTEP))
 (145 145 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (142 54 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (132 132 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (124 40 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (120 18 (:REWRITE ZP-OPEN))
 (108 108 (:TYPE-PRESCRIPTION LEN))
 (108 18 (:DEFINITION ALL-NILS))
 (90 90 (:TYPE-PRESCRIPTION O-FINP))
 (90 90 (:TYPE-PRESCRIPTION ALL-NILS))
 (90 30 (:REWRITE O-FIRST-EXPT-O-INFP))
 (86 38 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (80 80 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (76 38 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (72 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (72 12 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (60 36 (:REWRITE DEFAULT-<-2))
 (60 30 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (54 54 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (54 54 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (52 52 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (52 52 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (50 50 (:TYPE-PRESCRIPTION BITP))
 (48 48 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (44 24 (:REWRITE RP::EVAL-OF-BIT-OF))
 (44 24 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (44 24 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (44 24 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (44 24 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (44 24 (:REWRITE RP::EVAL-OF-BINARY-?))
 (44 24 (:REWRITE RP::EVAL-OF----))
 (44 4 (:REWRITE RP::BIT-LIST-P-DEF))
 (38 38 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (36 36 (:REWRITE DEFAULT-<-1))
 (36 36 (:LINEAR LEN-WHEN-PREFIXP))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (24 24 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (24 24 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (18 18 (:TYPE-PRESCRIPTION ZP))
 (18 18 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (18 18 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (18 18 (:LINEAR BOUNDS-POSITION-EQUAL))
 (18 6 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (18 2 (:DEFINITION ASSOC-EQUAL))
 (16 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (12 12 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 8 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (8 8 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES-2
 (11465 30 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (9981 10 (:DEFINITION TRUE-LISTP))
 (7479 30 (:DEFINITION RP::RP-TERM-LISTP))
 (7442 94 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (6747 111 (:DEFINITION QUOTEP))
 (6420 70 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (6370 50 (:DEFINITION APPLY$-BADGEP))
 (5100 40 (:DEFINITION SUBSETP-EQUAL))
 (4300 300 (:DEFINITION MEMBER-EQUAL))
 (4088 3691 (:REWRITE DEFAULT-CDR))
 (3922 40 (:DEFINITION RP::RP-TERMP))
 (3527 94 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2740 100 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (2700 160 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (2582 2314 (:REWRITE DEFAULT-CAR))
 (2084 14 (:DEFINITION RP::FALIST-CONSISTENT))
 (1580 10 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (1304 377 (:REWRITE O-P-O-INFP-CAR))
 (1055 13 (:REWRITE RP::BIT-LISTP-LEMMA))
 (948 66 (:DEFINITION RP::RP-TRANS-LST))
 (902 902 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (621 163 (:REWRITE RP::IS-IF-RP-TERMP))
 (607 15 (:DEFINITION RP::RP-TRANS))
 (600 600 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (552 40 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (520 520 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (480 480 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (432 40 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (390 20 (:DEFINITION NATP))
 (379 109 (:REWRITE RP::RP-TERMP-CADR))
 (320 320 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (309 309 (:REWRITE O-P-DEF-O-FINP-1))
 (307 307 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (284 53 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (280 280 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (270 15 (:DEFINITION RP::TRANS-LIST))
 (230 53 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (218 218 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (204 204 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (200 200 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (150 30 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (144 12 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (138 23 (:REWRITE O-INFP->NEQ-0))
 (130 20 (:REWRITE RP::RP-TERMP-CADDDR))
 (126 126 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (125 34 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (120 50 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (120 15 (:DEFINITION RP::IS-FALIST))
 (120 10 (:DEFINITION RP::IS-SYNP$INLINE))
 (113 34 (:REWRITE RP::RP-TERMP-CADDR))
 (110 40 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (100 100 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (94 94 (:TYPE-PRESCRIPTION QUOTEP))
 (90 90 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (80 24 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (79 79 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (70 30 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (69 69 (:TYPE-PRESCRIPTION O-FINP))
 (69 23 (:REWRITE O-FIRST-EXPT-O-INFP))
 (60 60 (:TYPE-PRESCRIPTION LEN))
 (60 30 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (60 10 (:REWRITE RP::LEN-TO-CONSP))
 (60 10 (:DEFINITION ALL-NILS))
 (52 52 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (50 50 (:TYPE-PRESCRIPTION ALL-NILS))
 (48 8 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (46 23 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (44 2 (:DEFINITION RP::PP-LISTS-TO-TERM-P+))
 (40 20 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (40 10 (:REWRITE ZP-OPEN))
 (38 8 (:DEFINITION ACONS))
 (30 30 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (30 30 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (30 10 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (30 6 (:REWRITE CONS-CAR-CDR))
 (24 24 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (22 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20 20 (:TYPE-PRESCRIPTION BITP))
 (20 20 (:REWRITE DEFAULT-<-2))
 (20 20 (:REWRITE DEFAULT-<-1))
 (20 20 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (16 2 (:DEFINITION RP::INCLUDE-FNC))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (12 12 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (12 12 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (10 10 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (10 10 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (10 10 (:LINEAR BOUNDS-POSITION-EQUAL))
 (4 4 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (4 2 (:REWRITE RP::EVAL-OF-BIT-OF))
 (4 2 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (4 2 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (4 2 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (4 2 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (4 2 (:REWRITE RP::EVAL-OF-BINARY-?))
 (4 2 (:REWRITE RP::EVAL-OF----))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (2 2 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::ATOM-MERGE-SORTED-PP-LISTS
 (402 120 (:REWRITE O-P-O-INFP-CAR))
 (392 168 (:REWRITE DEFAULT-CAR))
 (228 76 (:REWRITE DEFAULT-CDR))
 (94 94 (:REWRITE O-P-DEF-O-FINP-1))
 (16 16 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 )
(RP::PP-SUM-EQUALS-2
 (11 5 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (6 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE DEFAULT-+-1))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:TYPE-PRESCRIPTION BITP))
 (3 3 (:DEFINITION BITP))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (1 1 (:REWRITE O-INFP->NEQ-0))
 )
(RP::EVAL-OF-LIST-TO-TERM-OF-MERGE-SORTED-PP-LISTS
 (38227 456 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (20332 674 (:DEFINITION RP::RP-TERM-LISTP))
 (19374 1785 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (19048 1058 (:DEFINITION RP::TRANS-LIST))
 (18530 802 (:DEFINITION RP::RP-TERMP))
 (14023 1234 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (12299 1785 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (11725 971 (:DEFINITION RP::IS-SYNP$INLINE))
 (11579 3531 (:REWRITE O-P-O-INFP-CAR))
 (9308 1015 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (7912 625 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (7809 135 (:REWRITE RP::BIT-LISTP-LEMMA))
 (6645 824 (:DEFINITION RP::INCLUDE-FNC))
 (6173 557 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (4433 4433 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4276 4276 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (4143 4143 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (3624 873 (:REWRITE RP::IS-IF-RP-TERMP))
 (3569 851 (:REWRITE RP::RP-TERMP-CADR))
 (3540 1230 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (2893 2893 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (2745 549 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (2718 658 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (2716 2666 (:REWRITE O-P-DEF-O-FINP-1))
 (1839 1015 (:REWRITE RP::EVAL-OF-BIT-OF))
 (1839 1015 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (1839 1015 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (1839 1015 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (1839 1015 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (1839 1015 (:REWRITE RP::EVAL-OF-BINARY-?))
 (1839 1015 (:REWRITE RP::EVAL-OF----))
 (1754 1754 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (1659 1659 (:TYPE-PRESCRIPTION QUOTEP))
 (1647 549 (:DEFINITION APPLY$-BADGEP))
 (1282 1234 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (1250 1234 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (1112 8 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (1098 549 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (1097 993 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1088 8 (:DEFINITION RP::PP-TERM-P))
 (1085 1085 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (1015 1015 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (1015 1015 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (993 993 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (858 143 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (549 549 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (546 546 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (473 473 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (456 456 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (306 34 (:DEFINITION ASSOC-EQUAL))
 (286 286 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (242 22 (:DEFINITION RP::FALIST-CONSISTENT))
 (225 5 (:REWRITE RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX))
 (224 224 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (176 176 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (95 5 (:DEFINITION INTEGER-LISTP))
 (45 15 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (44 22 (:REWRITE RP::RP-TERMP-CADDR))
 (44 22 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (26 26 (:TYPE-PRESCRIPTION O-FINP))
 (25 25 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (24 8 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (10 6 (:REWRITE O-INFP->NEQ-0))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (4 4 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::BIT-LIST-LIST-OF-MERGE-SORTED-PP-LISTS
 (3441 1000 (:REWRITE O-P-O-INFP-CAR))
 (3160 30 (:REWRITE RP::BIT-LISTP-LEMMA))
 (1982 156 (:DEFINITION RP::RP-TRANS-LST))
 (1806 63 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (1701 63 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (1599 136 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (1557 110 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (1229 109 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (996 24 (:DEFINITION RP::RP-TRANS))
 (863 789 (:REWRITE O-P-DEF-O-FINP-1))
 (587 132 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (549 549 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (432 24 (:DEFINITION RP::TRANS-LIST))
 (365 4 (:REWRITE RP::BIT-LIST-P-DEF))
 (333 333 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (279 3 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (272 2 (:DEFINITION RP::PP-TERM-P))
 (192 24 (:DEFINITION RP::IS-FALIST))
 (82 4 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (76 26 (:DEFINITION QUOTEP))
 (74 4 (:DEFINITION RP::IS-SYNP$INLINE))
 (62 62 (:TYPE-PRESCRIPTION O-FINP))
 (56 56 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (44 44 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (42 42 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (37 37 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (32 32 (:TYPE-PRESCRIPTION BITP))
 (30 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (28 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (26 4 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (24 24 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (24 2 (:DEFINITION RP::INCLUDE-FNC))
 (12 4 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (12 4 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (12 4 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (12 4 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (12 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (7 3 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (6 3 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (4 4 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (2 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (2 2 (:REWRITE RP::EVAL-OF-BIT-OF))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (2 2 (:REWRITE RP::EVAL-OF-BINARY-?))
 (2 2 (:REWRITE RP::EVAL-OF----))
 )
(RP::BIT-LIST-LISTP-OF-SORT-PP-LISTS
 (45318 123 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (40392 41 (:DEFINITION TRUE-LISTP))
 (30285 124 (:DEFINITION RP::RP-TERM-LISTP))
 (29373 371 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (27349 381 (:DEFINITION QUOTEP))
 (26207 312 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (26000 206 (:DEFINITION APPLY$-BADGEP))
 (20766 164 (:DEFINITION SUBSETP-EQUAL))
 (17486 1230 (:DEFINITION MEMBER-EQUAL))
 (14915 139 (:DEFINITION RP::RP-TERMP))
 (14207 13134 (:REWRITE DEFAULT-CDR))
 (14174 371 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (11171 410 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (10980 656 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (8838 8172 (:REWRITE DEFAULT-CAR))
 (8364 41 (:DEFINITION RP::FALIST-CONSISTENT))
 (6478 41 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (4262 1256 (:REWRITE O-P-O-INFP-CAR))
 (2685 36 (:REWRITE RP::BIT-LISTP-LEMMA))
 (2460 2460 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2132 2132 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (2102 142 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (1968 1968 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (1653 120 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (1596 499 (:REWRITE RP::IS-IF-RP-TERMP))
 (1551 82 (:DEFINITION NATP))
 (1312 1312 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (1303 115 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (1293 151 (:DEFINITION RP::RP-TRANS-LST))
 (1148 1148 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1074 1074 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (1030 988 (:REWRITE O-P-DEF-O-FINP-1))
 (865 865 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (809 809 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (774 27 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (769 294 (:REWRITE RP::RP-TERMP-CADR))
 (735 123 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (729 27 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (576 131 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (575 575 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (499 188 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (494 206 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (458 82 (:REWRITE RP::RP-TERMP-CADDDR))
 (444 444 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (432 72 (:REWRITE O-INFP->NEQ-0))
 (420 20 (:DEFINITION RP::RP-TRANS))
 (410 410 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (393 123 (:REWRITE RP::RP-TERMP-CADDR))
 (393 123 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (371 371 (:TYPE-PRESCRIPTION QUOTEP))
 (369 369 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (345 345 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (257 257 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (246 41 (:DEFINITION ALL-NILS))
 (242 242 (:TYPE-PRESCRIPTION O-FINP))
 (227 99 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (219 11 (:REWRITE RP::BIT-LIST-P-DEF))
 (216 72 (:REWRITE O-FIRST-EXPT-O-INFP))
 (215 43 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (205 205 (:TYPE-PRESCRIPTION ALL-NILS))
 (198 99 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (192 135 (:REWRITE DEFAULT-<-2))
 (180 10 (:DEFINITION RP::TRANS-LIST))
 (164 82 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (151 135 (:REWRITE DEFAULT-<-1))
 (144 72 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (123 123 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (119 11 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (118 118 (:LINEAR LEN-WHEN-PREFIXP))
 (100 100 (:TYPE-PRESCRIPTION BITP))
 (99 99 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (82 82 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (81 11 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (81 9 (:DEFINITION ASSOC-EQUAL))
 (80 10 (:DEFINITION RP::IS-FALIST))
 (64 16 (:REWRITE RP::FLOOR-OF-TWO-IS-LESS))
 (59 59 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (59 59 (:LINEAR BOUNDS-POSITION-EQUAL))
 (59 11 (:DEFINITION RP::IS-SYNP$INLINE))
 (43 43 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (35 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (24 12 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (22 11 (:REWRITE DEFAULT-UNARY-MINUS))
 (22 11 (:REWRITE DEFAULT-+-2))
 (19 11 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (19 11 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (19 11 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (19 11 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (18 18 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (16 16 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (12 12 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (12 12 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (11 11 (:REWRITE DEFAULT-+-1))
 )
(RP::EVAL-OF-SORT-PP-LISTS-IS-CORRECT
 (89590 334 (:DEFINITION APPLY$-BADGEP))
 (84061 270 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (74645 108 (:DEFINITION TRUE-LISTP))
 (59450 415 (:DEFINITION RP::RP-TERMP))
 (54628 398 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (52840 432 (:DEFINITION SUBSETP-EQUAL))
 (46803 260 (:DEFINITION RP::RP-TERM-LISTP))
 (46646 42252 (:REWRITE DEFAULT-CDR))
 (44200 3240 (:DEFINITION MEMBER-EQUAL))
 (42060 785 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (36440 638 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (35242 785 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (34884 171 (:DEFINITION RP::FALIST-CONSISTENT))
 (29488 25540 (:REWRITE DEFAULT-CAR))
 (28612 1080 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (27760 1728 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (27018 171 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (15878 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (14071 4202 (:REWRITE O-P-O-INFP-CAR))
 (8362 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (7558 42 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (6480 6480 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5616 5616 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (5184 5184 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (5106 185 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (5055 148 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (4828 1584 (:REWRITE RP::IS-IF-RP-TERMP))
 (4044 38 (:REWRITE RP::BIT-LISTP-LEMMA))
 (3456 3456 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (3451 3209 (:REWRITE O-P-DEF-O-FINP-1))
 (3363 163 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (3078 216 (:DEFINITION NATP))
 (3024 3024 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2456 2456 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (2448 136 (:DEFINITION RP::TRANS-LIST))
 (1941 745 (:REWRITE RP::RP-TERMP-CADR))
 (1930 964 (:REWRITE DEFAULT-+-2))
 (1900 1900 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (1840 1840 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (1809 137 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (1566 131 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1539 1539 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (1490 324 (:REWRITE RP::RP-TERMP-CADDDR))
 (1445 515 (:REWRITE RP::RP-TERMP-CADDR))
 (1445 515 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (1418 127 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (1312 102 (:DEFINITION RP::IS-SYNP$INLINE))
 (1103 334 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1080 1080 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (968 964 (:REWRITE DEFAULT-+-1))
 (930 930 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (884 334 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (880 40 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (810 324 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (798 42 (:DEFINITION RP::RP-EQUAL))
 (769 769 (:TYPE-PRESCRIPTION QUOTEP))
 (765 765 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (733 83 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (702 270 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (648 162 (:REWRITE RP::RP-TERMP-CADDDDR))
 (648 108 (:DEFINITION ALL-NILS))
 (629 147 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (603 603 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (576 576 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (540 540 (:TYPE-PRESCRIPTION ALL-NILS))
 (540 270 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (520 65 (:DEFINITION RP::INCLUDE-FNC))
 (503 21 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (503 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (486 216 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (436 130 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (435 435 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (404 404 (:LINEAR LEN-WHEN-PREFIXP))
 (386 369 (:REWRITE DEFAULT-<-2))
 (383 369 (:REWRITE DEFAULT-<-1))
 (334 334 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (297 9 (:REWRITE RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES-2))
 (270 270 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (270 270 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (232 232 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (221 16 (:REWRITE RP::BIT-LIST-P-DEF))
 (209 209 (:TYPE-PRESCRIPTION O-FINP))
 (203 131 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (202 202 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (202 202 (:LINEAR BOUNDS-POSITION-EQUAL))
 (186 31 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (155 131 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (155 131 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (155 131 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (155 131 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (155 131 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
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 )
(RP::CONSP-OF-APPLY-SIGN
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 (9 6 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE O-P-DEF-O-FINP-1))
 )
(RP::LEN-OF-APPLY-SIGN
 (62 3 (:REWRITE RP::LEN-TO-CONSP))
 (50 3 (:REWRITE ZP-OPEN))
 (32 32 (:LINEAR LEN-WHEN-PREFIXP))
 (26 11 (:REWRITE DEFAULT-CDR))
 (21 9 (:REWRITE DEFAULT-CAR))
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 (16 8 (:REWRITE DEFAULT-+-2))
 (15 6 (:REWRITE O-P-O-INFP-CAR))
 (12 6 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
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 (6 6 (:REWRITE DEFAULT-<-1))
 (3 3 (:TYPE-PRESCRIPTION ZP))
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 )
(RP::MERGE-SORTED-PP-LISTS-SIMPLE-OF-APPLY-SIGN
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 )
(RP::MERGE-SORTED-PP-LISTS-SIMPLE-OF-APPLY-SIGN-REVERSE
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 )
(RP::MERGE-SORTED-PP-LISTS-SIMPLE-OF-APPLY-SIGN-2
 (2126 2 (:DEFINITION RP::PP-LISTS-P))
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 )
(RP::CUT-LIST-BY-HALF-OF-SIGNED-PP-LISTS-0
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 )
(RP::CUT-LIST-BY-HALF-OF-SIGNED-PP-LISTS-1
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 (185 37 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (173 173 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (155 155 (:TYPE-PRESCRIPTION ALL-NILS))
 (124 62 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (114 114 (:LINEAR LEN-WHEN-PREFIXP))
 (93 93 (:TYPE-PRESCRIPTION BITP))
 (93 93 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (74 74 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (70 35 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (62 31 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (62 31 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (57 57 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (57 57 (:LINEAR BOUNDS-POSITION-EQUAL))
 (56 56 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (37 37 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (35 35 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (35 35 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (31 31 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (20 20 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (18 6 (:REWRITE RP::CUT-LIST-BY-HALF-OF-SIGNED-PP-LISTS-0))
 (3 3 (:REWRITE RP::CUT-LIST-BY-HALF-RETURNS-PP-LISTS))
 )
(RP::PP-LISTS-P-IMPLIES-FC
 (3359 9 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2957 3 (:DEFINITION TRUE-LISTP))
 (2240 10 (:DEFINITION RP::RP-TERM-LISTP))
 (2171 29 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (2001 29 (:DEFINITION QUOTEP))
 (1915 22 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1898 16 (:DEFINITION APPLY$-BADGEP))
 (1514 12 (:DEFINITION SUBSETP-EQUAL))
 (1274 90 (:DEFINITION MEMBER-EQUAL))
 (1133 11 (:DEFINITION RP::RP-TERMP))
 (1061 29 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (883 883 (:REWRITE DEFAULT-CDR))
 (815 30 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (800 48 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (612 3 (:DEFINITION RP::FALIST-CONSISTENT))
 (527 527 (:REWRITE DEFAULT-CAR))
 (474 3 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (180 180 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (156 156 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (144 144 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (138 39 (:REWRITE O-P-O-INFP-CAR))
 (129 42 (:REWRITE RP::IS-IF-RP-TERMP))
 (117 6 (:DEFINITION NATP))
 (96 96 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (85 85 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (84 84 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (67 67 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (66 27 (:REWRITE RP::RP-TERMP-CADR))
 (61 61 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (45 9 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (38 16 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (36 6 (:REWRITE RP::RP-TERMP-CADDDR))
 (33 33 (:REWRITE O-P-DEF-O-FINP-1))
 (33 12 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (30 30 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (30 9 (:REWRITE RP::RP-TERMP-CADDR))
 (30 9 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (30 6 (:DEFINITION BITP))
 (29 29 (:TYPE-PRESCRIPTION QUOTEP))
 (27 27 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (21 9 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (19 19 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (18 9 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (18 3 (:REWRITE RP::LEN-TO-CONSP))
 (18 3 (:DEFINITION ALL-NILS))
 (15 15 (:TYPE-PRESCRIPTION ALL-NILS))
 (15 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (12 6 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (12 3 (:REWRITE ZP-OPEN))
 (9 9 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (9 9 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 6 (:TYPE-PRESCRIPTION BITP))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (3 3 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::POS-LEN-IS
 (8 4 (:REWRITE DEFAULT-<-2))
 (6 3 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-+-1))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA1
 (4474 12 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (3986 4 (:DEFINITION TRUE-LISTP))
 (2990 12 (:DEFINITION RP::RP-TERM-LISTP))
 (2884 36 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (2676 32 (:DEFINITION QUOTEP))
 (2576 36 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (2556 20 (:DEFINITION APPLY$-BADGEP))
 (2040 16 (:DEFINITION SUBSETP-EQUAL))
 (1720 120 (:DEFINITION MEMBER-EQUAL))
 (1460 16 (:DEFINITION RP::RP-TERMP))
 (1382 36 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1213 1213 (:REWRITE DEFAULT-CDR))
 (1096 40 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (1080 64 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (816 4 (:DEFINITION RP::FALIST-CONSISTENT))
 (698 698 (:REWRITE DEFAULT-CAR))
 (632 4 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (240 240 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (208 208 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (192 192 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (186 62 (:REWRITE RP::IS-IF-RP-TERMP))
 (180 51 (:REWRITE O-P-O-INFP-CAR))
 (140 8 (:DEFINITION NATP))
 (128 128 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (118 118 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (112 112 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (100 12 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (98 42 (:REWRITE RP::RP-TERMP-CADR))
 (84 84 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (76 76 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (76 12 (:DEFINITION BITP))
 (60 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (52 8 (:REWRITE RP::RP-TERMP-CADDDR))
 (48 20 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (48 4 (:REWRITE RP::LEN-TO-CONSP))
 (43 43 (:REWRITE O-P-DEF-O-FINP-1))
 (42 12 (:REWRITE RP::RP-TERMP-CADDR))
 (42 12 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (40 40 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (40 4 (:REWRITE ZP-OPEN))
 (36 36 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (32 32 (:TYPE-PRESCRIPTION QUOTEP))
 (24 24 (:TYPE-PRESCRIPTION LEN))
 (24 24 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (24 4 (:DEFINITION ALL-NILS))
 (20 20 (:TYPE-PRESCRIPTION ALL-NILS))
 (20 8 (:REWRITE DEFAULT-<-2))
 (20 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (16 8 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (12 12 (:TYPE-PRESCRIPTION BITP))
 (12 12 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (8 8 (:REWRITE DEFAULT-<-1))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (8 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 4 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (8 4 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (4 4 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (4 4 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA2
 (3217 9 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2963 3 (:DEFINITION TRUE-LISTP))
 (2138 6 (:DEFINITION RP::RP-TERM-LISTP))
 (2071 21 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1965 20 (:DEFINITION QUOTEP))
 (1901 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1892 12 (:DEFINITION APPLY$-BADGEP))
 (1514 12 (:DEFINITION SUBSETP-EQUAL))
 (1274 90 (:DEFINITION MEMBER-EQUAL))
 (981 11 (:DEFINITION RP::RP-TERMP))
 (977 21 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (878 878 (:REWRITE DEFAULT-CDR))
 (815 30 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (800 48 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (612 3 (:DEFINITION RP::FALIST-CONSISTENT))
 (514 506 (:REWRITE DEFAULT-CAR))
 (474 3 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (180 180 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (156 156 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (146 41 (:REWRITE O-P-O-INFP-CAR))
 (144 144 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (121 38 (:REWRITE RP::IS-IF-RP-TERMP))
 (105 6 (:DEFINITION NATP))
 (96 96 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (84 84 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (77 77 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (75 9 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (58 23 (:REWRITE RP::RP-TERMP-CADR))
 (57 9 (:DEFINITION BITP))
 (54 54 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (51 51 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (45 18 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (36 6 (:REWRITE RP::RP-TERMP-CADDDR))
 (36 3 (:REWRITE RP::LEN-TO-CONSP))
 (35 35 (:REWRITE O-P-DEF-O-FINP-1))
 (30 30 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (30 12 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (30 9 (:REWRITE RP::RP-TERMP-CADDR))
 (30 9 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (30 3 (:REWRITE ZP-OPEN))
 (27 27 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (20 20 (:TYPE-PRESCRIPTION QUOTEP))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (18 3 (:DEFINITION ALL-NILS))
 (15 15 (:TYPE-PRESCRIPTION ALL-NILS))
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 (15 6 (:REWRITE DEFAULT-<-2))
 (15 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (12 6 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (9 9 (:TYPE-PRESCRIPTION BITP))
 (9 9 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (6 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 3 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (6 3 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (3 3 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA3
 (5418 15 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (4956 5 (:DEFINITION TRUE-LISTP))
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 (3491 35 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (3301 35 (:DEFINITION QUOTEP))
 (3189 42 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (3170 22 (:DEFINITION APPLY$-BADGEP))
 (2534 20 (:DEFINITION SUBSETP-EQUAL))
 (2134 150 (:DEFINITION MEMBER-EQUAL))
 (1679 19 (:DEFINITION RP::RP-TERMP))
 (1652 35 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1485 1481 (:REWRITE DEFAULT-CDR))
 (1363 50 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (1340 80 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1020 5 (:DEFINITION RP::FALIST-CONSISTENT))
 (863 859 (:REWRITE DEFAULT-CAR))
 (790 5 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (300 300 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (260 260 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (240 240 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (238 67 (:REWRITE O-P-O-INFP-CAR))
 (214 69 (:REWRITE RP::IS-IF-RP-TERMP))
 (175 10 (:DEFINITION NATP))
 (160 160 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (140 140 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (136 136 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (125 15 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (107 44 (:REWRITE RP::RP-TERMP-CADR))
 (95 15 (:DEFINITION BITP))
 (92 92 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (85 85 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (75 30 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (62 10 (:REWRITE RP::RP-TERMP-CADDDR))
 (60 5 (:REWRITE RP::LEN-TO-CONSP))
 (57 57 (:REWRITE O-P-DEF-O-FINP-1))
 (54 22 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (51 15 (:REWRITE RP::RP-TERMP-CADDR))
 (51 15 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (50 50 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (50 5 (:REWRITE ZP-OPEN))
 (45 45 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (35 35 (:TYPE-PRESCRIPTION QUOTEP))
 (30 30 (:TYPE-PRESCRIPTION LEN))
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 (25 25 (:TYPE-PRESCRIPTION ALL-NILS))
 (25 10 (:REWRITE DEFAULT-<-2))
 (25 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (20 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (15 15 (:TYPE-PRESCRIPTION BITP))
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 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (10 10 (:REWRITE DEFAULT-<-1))
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 (10 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 5 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (10 5 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
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 (5 5 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (5 5 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (5 5 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (5 5 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA4
 (5594 15 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (4956 5 (:DEFINITION TRUE-LISTP))
 (3741 16 (:DEFINITION RP::RP-TERM-LISTP))
 (3611 47 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (3341 43 (:DEFINITION QUOTEP))
 (3209 46 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (3182 26 (:DEFINITION APPLY$-BADGEP))
 (2534 20 (:DEFINITION SUBSETP-EQUAL))
 (2134 150 (:DEFINITION MEMBER-EQUAL))
 (1855 19 (:DEFINITION RP::RP-TERMP))
 (1744 47 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1503 1499 (:REWRITE DEFAULT-CDR))
 (1363 50 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (1340 80 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1020 5 (:DEFINITION RP::FALIST-CONSISTENT))
 (889 879 (:REWRITE DEFAULT-CAR))
 (790 5 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (300 300 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (260 260 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (244 68 (:REWRITE O-P-O-INFP-CAR))
 (240 240 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (222 73 (:REWRITE RP::IS-IF-RP-TERMP))
 (175 10 (:DEFINITION NATP))
 (160 160 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (144 144 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (140 140 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (125 15 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (115 48 (:REWRITE RP::RP-TERMP-CADR))
 (109 109 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (96 96 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (95 15 (:DEFINITION BITP))
 (75 30 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (62 26 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (62 10 (:REWRITE RP::RP-TERMP-CADDDR))
 (60 58 (:REWRITE O-P-DEF-O-FINP-1))
 (60 5 (:REWRITE RP::LEN-TO-CONSP))
 (51 15 (:REWRITE RP::RP-TERMP-CADDR))
 (51 15 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (50 50 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (50 5 (:REWRITE ZP-OPEN))
 (45 45 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (43 43 (:TYPE-PRESCRIPTION QUOTEP))
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 (30 30 (:TYPE-PRESCRIPTION LEN))
 (30 5 (:DEFINITION ALL-NILS))
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 (25 10 (:REWRITE DEFAULT-<-2))
 (25 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (20 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (15 15 (:TYPE-PRESCRIPTION BITP))
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 (10 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
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 (10 5 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (5 5 (:TYPE-PRESCRIPTION ZP))
 (5 5 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (5 5 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (5 5 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (5 5 (:LINEAR BOUNDS-POSITION-EQUAL))
 (4 2 (:REWRITE RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA1))
 (2 2 (:TYPE-PRESCRIPTION O-FINP))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA5
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 (2684 36 (:DEFINITION QUOTEP))
 (2576 36 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (2556 20 (:DEFINITION APPLY$-BADGEP))
 (2040 16 (:DEFINITION SUBSETP-EQUAL))
 (1720 120 (:DEFINITION MEMBER-EQUAL))
 (1480 16 (:DEFINITION RP::RP-TERMP))
 (1400 36 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1212 1212 (:REWRITE DEFAULT-CDR))
 (1096 40 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (1080 64 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (816 4 (:DEFINITION RP::FALIST-CONSISTENT))
 (712 708 (:REWRITE DEFAULT-CAR))
 (632 4 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (240 240 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (208 208 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (192 192 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (188 53 (:REWRITE O-P-O-INFP-CAR))
 (186 62 (:REWRITE RP::IS-IF-RP-TERMP))
 (140 8 (:DEFINITION NATP))
 (128 128 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (118 118 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (112 112 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (100 12 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (98 42 (:REWRITE RP::RP-TERMP-CADR))
 (84 84 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (76 76 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (76 12 (:DEFINITION BITP))
 (60 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (52 8 (:REWRITE RP::RP-TERMP-CADDDR))
 (48 20 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (48 4 (:REWRITE RP::LEN-TO-CONSP))
 (45 45 (:REWRITE O-P-DEF-O-FINP-1))
 (42 12 (:REWRITE RP::RP-TERMP-CADDR))
 (42 12 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (40 40 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (40 4 (:REWRITE ZP-OPEN))
 (36 36 (:TYPE-PRESCRIPTION QUOTEP))
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 (24 24 (:TYPE-PRESCRIPTION LEN))
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 (24 4 (:DEFINITION ALL-NILS))
 (20 20 (:TYPE-PRESCRIPTION ALL-NILS))
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 (20 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
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 (12 12 (:TYPE-PRESCRIPTION BITP))
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 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (8 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 4 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (8 4 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
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 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (4 4 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN
 (3075 1835 (:REWRITE DEFAULT-CDR))
 (2835 1635 (:REWRITE DEFAULT-CAR))
 (2251 643 (:REWRITE O-P-O-INFP-CAR))
 (602 503 (:REWRITE O-P-DEF-O-FINP-1))
 (172 6 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (162 6 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (133 133 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (96 96 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (72 72 (:TYPE-PRESCRIPTION O-FINP))
 (20 10 (:REWRITE DEFAULT-+-2))
 (15 10 (:REWRITE DEFAULT-+-1))
 (10 5 (:REWRITE DEFAULT-UNARY-MINUS))
 (9 9 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (4 4 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (4 4 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::AND$-PP-LISTS-AUX-RETURNS-BIT-LIST-LISTP
 (377 24 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (322 166 (:REWRITE DEFAULT-CDR))
 (305 24 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (288 87 (:REWRITE O-P-O-INFP-CAR))
 (188 119 (:REWRITE DEFAULT-CAR))
 (161 24 (:DEFINITION RP::RP-TRANS-LST))
 (159 3 (:REWRITE RP::BIT-LISTP-LEMMA))
 (157 24 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (134 134 (:TYPE-PRESCRIPTION O-P))
 (121 24 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (120 120 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (90 15 (:REWRITE O-INFP->NEQ-0))
 (72 72 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (67 67 (:REWRITE O-P-DEF-O-FINP-1))
 (56 16 (:REWRITE RP::ATOM-MERGE-SORTED-AND$-LISTS))
 (50 25 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (45 45 (:TYPE-PRESCRIPTION O-FINP))
 (45 15 (:REWRITE O-FIRST-EXPT-O-INFP))
 (42 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (36 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (30 15 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (25 25 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (18 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (12 12 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (9 9 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (9 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (3 3 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::AND$-PP-LISTS-RETURNS-BIT-LIST-LISTP
 (344 104 (:REWRITE O-P-O-INFP-CAR))
 (313 21 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (280 165 (:REWRITE DEFAULT-CDR))
 (262 17 (:DEFINITION RP::BIT-LISTP))
 (250 21 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (160 160 (:TYPE-PRESCRIPTION O-P))
 (159 3 (:REWRITE RP::BIT-LISTP-LEMMA))
 (145 118 (:REWRITE DEFAULT-CAR))
 (145 21 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (140 60 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (124 21 (:DEFINITION RP::RP-TRANS-LST))
 (105 105 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (102 102 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (101 17 (:DEFINITION BITP))
 (100 21 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (84 14 (:REWRITE O-INFP->NEQ-0))
 (80 80 (:REWRITE O-P-DEF-O-FINP-1))
 (63 63 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (57 18 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (42 42 (:TYPE-PRESCRIPTION O-FINP))
 (42 14 (:REWRITE O-FIRST-EXPT-O-INFP))
 (42 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (36 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (28 14 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (18 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (12 1 (:DEFINITION RP::AND$-PP-LISTS-AUX))
 (9 9 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (9 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (7 7 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 2 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (3 3 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::PP-TERM-TO-PP-LISTS-RETURNS-BIT-LIST-LISTP
 (80379 121 (:DEFINITION RP::VALID-SC))
 (44684 40997 (:REWRITE DEFAULT-CDR))
 (40486 1462 (:DEFINITION RP::INCLUDE-FNC))
 (36727 850 (:REWRITE RP::NOT-INCLUDE-RP-MEANS-VALID-SC))
 (32878 27554 (:REWRITE DEFAULT-CAR))
 (24564 92 (:REWRITE RP::CAR-OF-EX-FROM-RP-IS-NOT-RP))
 (24288 92 (:DEFINITION RP::RP-TERMP))
 (22869 151 (:DEFINITION RP::EVAL-AND-ALL))
 (18768 92 (:DEFINITION RP::FALIST-CONSISTENT))
 (14536 92 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (11686 2775 (:REWRITE O-P-O-INFP-CAR))
 (8716 630 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (8640 480 (:DEFINITION RP::TRANS-LIST))
 (7456 626 (:DEFINITION RP::IS-SYNP$INLINE))
 (6912 480 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (6597 198 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (6483 81 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (4990 4990 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (3945 3945 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (3905 2503 (:REWRITE O-P-DEF-O-FINP-1))
 (2686 17 (:REWRITE RP::VALID-SC-EX-FROM-RP-2))
 (2536 2096 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (2460 410 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (2233 209 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (1870 626 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (1525 1525 (:TYPE-PRESCRIPTION O-FINP))
 (1452 121 (:REWRITE RP::NOT-INCLUDE-RP-MEANS-VALID-SC-LST))
 (1443 1443 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (1408 88 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (1331 121 (:REWRITE RP::NOT-INCLUDE-RP))
 (1320 120 (:REWRITE RP::NOT-INCLUDE-EX-FROM-RP))
 (1078 710 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (936 480 (:REWRITE RP::EVAL-OF----))
 (888 480 (:REWRITE RP::EVAL-OF-BIT-OF))
 (884 480 (:REWRITE RP::EVAL-OF-BINARY-?))
 (854 480 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (840 480 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (828 828 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (820 820 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (820 480 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (812 480 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (736 368 (:REWRITE RP::IS-IF-RP-TERMP))
 (710 710 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (693 693 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (670 630 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (670 630 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (670 630 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (635 46 (:DEFINITION RP::BIT-LISTP))
 (630 630 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (621 621 (:TYPE-PRESCRIPTION RP::CONTEXT-FROM-RP))
 (552 552 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (540 540 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (540 108 (:REWRITE RP::VALID-SC-OF-EX-FROM-RP))
 (480 480 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (480 480 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (460 92 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (440 88 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (436 109 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (368 184 (:REWRITE RP::RP-TERMP-CADR))
 (368 184 (:REWRITE RP::RP-TERMP-CADDR))
 (368 184 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (248 42 (:REWRITE O-INFP->NEQ-0))
 (219 219 (:TYPE-PRESCRIPTION RP::EVAL-AND-ALL))
 (201 201 (:TYPE-PRESCRIPTION QUOTEP))
 (184 184 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (184 92 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (176 176 (:TYPE-PRESCRIPTION STRIP-CDRS))
 (162 162 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (123 41 (:REWRITE O-FIRST-EXPT-O-INFP))
 (121 121 (:TYPE-PRESCRIPTION RP::IS-IF$INLINE))
 (110 110 (:TYPE-PRESCRIPTION RP::RP-EVLT-LST-LST))
 (82 82 (:TYPE-PRESCRIPTION RP::BIT-LISTP))
 (82 41 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (36 36 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (12 12 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::AND$-PP-LISTS-AUX-EXTRACT-ACC
 (75 75 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (43 19 (:REWRITE DEFAULT-CAR))
 (29 11 (:REWRITE O-P-O-INFP-CAR))
 (17 12 (:REWRITE DEFAULT-CDR))
 (10 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (6 6 (:REWRITE O-P-DEF-O-FINP-1))
 )
(RP::AND$-PP-LISTS-EXTRACT-ACC
 (71 71 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (68 48 (:REWRITE DEFAULT-CDR))
 (42 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (40 28 (:REWRITE DEFAULT-CAR))
 (40 16 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (36 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (32 11 (:REWRITE O-P-O-INFP-CAR))
 (32 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (30 30 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (18 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (14 14 (:TYPE-PRESCRIPTION O-P))
 (9 9 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (9 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (7 7 (:REWRITE O-P-DEF-O-FINP-1))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (3 3 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
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 )
(RP::AND$-PP-LISTS-AUX-EXTRACT-SIGN-AND-ACC
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 )
(RP::AND$-PP-LISTS-EXTRACT-SIGN-AND-ACC
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 (1974 30 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
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 (992 11 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (948 3 (:DEFINITION RP::RP-TERMP))
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 (105 9 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
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 (87 9 (:DEFINITION BITP))
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 )
(RP::TRUE-LIST-FIX-OF-APPLY-SIGN-TO-PP-LISTS
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(RP::AND$-PP-LISTS-AUX-OF-APPLIED-SIGN
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(RP::AND$-PP-LISTS-OF-APPLIED-WITH-SAME-SIGN
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(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA
 (38 38 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (2 2 (:REWRITE RP::AND$-PP-LISTS-EXTRACT-ACC))
 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA-2
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 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (3 3 (:LINEAR BOUNDS-POSITION-EQUAL))
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 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA-3
 (2096 6 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1940 2 (:DEFINITION TRUE-LISTP))
 (1394 4 (:DEFINITION RP::RP-TERM-LISTP))
 (1352 14 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1290 14 (:DEFINITION QUOTEP))
 (1246 16 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1240 8 (:DEFINITION APPLY$-BADGEP))
 (988 8 (:DEFINITION SUBSETP-EQUAL))
 (828 60 (:DEFINITION MEMBER-EQUAL))
 (644 14 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (642 6 (:DEFINITION RP::RP-TERMP))
 (569 569 (:REWRITE DEFAULT-CDR))
 (534 20 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (520 32 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (408 2 (:DEFINITION RP::FALIST-CONSISTENT))
 (341 341 (:REWRITE DEFAULT-CAR))
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 (148 148 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (120 120 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (104 104 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (96 96 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (92 26 (:REWRITE O-P-O-INFP-CAR))
 (70 4 (:DEFINITION NATP))
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 (64 18 (:REWRITE RP::IS-IF-RP-TERMP))
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 (44 44 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
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 (2 2 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (2 2 (:LINEAR BOUNDS-POSITION-EQUAL))
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 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA-4
 (1063 1 (:DEFINITION RP::PP-LISTS-P))
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 (970 1 (:DEFINITION TRUE-LISTP))
 (697 2 (:DEFINITION RP::RP-TERM-LISTP))
 (676 7 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (645 7 (:DEFINITION QUOTEP))
 (623 8 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (620 4 (:DEFINITION APPLY$-BADGEP))
 (494 4 (:DEFINITION SUBSETP-EQUAL))
 (414 30 (:DEFINITION MEMBER-EQUAL))
 (322 7 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (321 3 (:DEFINITION RP::RP-TERMP))
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 (267 10 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (260 16 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (204 1 (:DEFINITION RP::FALIST-CONSISTENT))
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 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (1 1 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (1 1 (:LINEAR BOUNDS-POSITION-EQUAL))
 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA
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 (188386 105893 (:REWRITE DEFAULT-CDR))
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 (149221 306 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (149062 196 (:DEFINITION APPLY$-BADGEP))
 (147294 7043 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (142544 196 (:DEFINITION SUBSETP-EQUAL))
 (141908 3283 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (138424 1470 (:DEFINITION MEMBER-EQUAL))
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 (10528 53 (:DEFINITION RP::FALIST-CONSISTENT))
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 (135 135 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
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 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN
 (39 3 (:DEFINITION RP::APPLY-SIGN-TO-PP-LISTS))
 (21 9 (:REWRITE DEFAULT-CAR))
 (15 6 (:REWRITE O-P-O-INFP-CAR))
 (9 6 (:REWRITE DEFAULT-CDR))
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 (3 3 (:DEFINITION ACONS))
 )
(RP::AND$-PP-LISTS-AUX-IS-CORRECT-LEMMA-2
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 (3 3 (:TYPE-PRESCRIPTION O-FINP))
 (3 1 (:REWRITE O-FIRST-EXPT-O-INFP))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (2 1 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(RP::AND$-PP-LISTS-AUX-IS-CORRECT
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 (1638 55 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (1132 38 (:DEFINITION RP::RP-TERM-LISTP))
 (1121 145 (:DEFINITION RP::PP-LISTS-TO-TERM-AND$))
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 (982 95 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (846 86 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (846 52 (:DEFINITION RP::RP-TERMP))
 (689 54 (:DEFINITION RP::IS-SYNP$INLINE))
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 (472 44 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
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 (356 36 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (317 39 (:DEFINITION RP::INCLUDE-FNC))
 (258 258 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (243 74 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (242 242 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (234 72 (:REWRITE RP::ATOM-MERGE-SORTED-AND$-LISTS))
 (225 225 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (195 55 (:REWRITE RP::RP-TERMP-CADR))
 (195 55 (:REWRITE RP::IS-IF-RP-TERMP))
 (169 169 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (166 166 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (160 44 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (135 27 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (133 11 (:REWRITE RP::BIT-LIST-P-DEF))
 (127 97 (:REWRITE O-P-DEF-O-FINP-1))
 (122 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (98 86 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (98 86 (:REWRITE RP::RP-EVL-OF-<-CALL))
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 (90 51 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (90 51 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (90 51 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (90 51 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (90 51 (:REWRITE RP::EVAL-OF-BINARY-?))
 (90 51 (:REWRITE RP::EVAL-OF----))
 (87 87 (:TYPE-PRESCRIPTION QUOTEP))
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 (66 54 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
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 (54 27 (:DEFINITION WEAK-APPLY$-BADGE-P))
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 (51 51 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (36 36 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (36 4 (:DEFINITION ASSOC-EQUAL))
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 (26 26 (:REWRITE RP::AND$-PP-LISTS-AUX-EXTRACT-ACC))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
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 (6 1 (:REWRITE RP::TYPE-FIX-WHEN-BITP))
 (6 1 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
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 )
(RP::AND$-PP-LISTS-IS-CORRECT
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 (1897 21 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
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 (1382 9 (:REWRITE RP::BIT-LISTP-LEMMA))
 (1071 419 (:REWRITE O-P-O-INFP-CAR))
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 (923 88 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (873 25 (:DEFINITION RP::RP-TERM-LISTP))
 (806 52 (:DEFINITION RP::RP-TERMP))
 (774 43 (:DEFINITION RP::TRANS-LIST))
 (616 59 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (595 88 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (554 106 (:DEFINITION RP::PP-LISTS-TO-TERM-AND$))
 (508 39 (:DEFINITION RP::IS-SYNP$INLINE))
 (452 35 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (359 264 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (355 31 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (316 36 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (302 302 (:TYPE-PRESCRIPTION RP::APPLY-SIGN-TO-PP-LISTS))
 (274 189 (:REWRITE O-P-DEF-O-FINP-1))
 (236 24 (:DEFINITION RP::BIT-LISTP))
 (224 28 (:DEFINITION RP::INCLUDE-FNC))
 (211 211 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (197 197 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (177 177 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (173 45 (:REWRITE RP::RP-TERMP-CADR))
 (173 45 (:REWRITE RP::IS-IF-RP-TERMP))
 (170 51 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (154 154 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (154 2 (:REWRITE RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES))
 (148 2 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (147 35 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (136 8 (:DEFINITION BINARY-APPEND))
 (125 25 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (113 67 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (102 102 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (95 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (93 36 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (89 7 (:REWRITE RP::BIT-LIST-P-DEF))
 (84 84 (:TYPE-PRESCRIPTION QUOTEP))
 (80 16 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (75 25 (:DEFINITION APPLY$-BADGEP))
 (71 59 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (71 59 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (71 59 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (68 68 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (64 36 (:REWRITE RP::EVAL-OF-BIT-OF))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (64 36 (:REWRITE RP::EVAL-OF-BINARY-?))
 (64 36 (:REWRITE RP::EVAL-OF----))
 (52 4 (:REWRITE CAR-OF-APPEND))
 (51 39 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (50 50 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (50 25 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (48 8 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (39 39 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (36 36 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (36 36 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (34 34 (:TYPE-PRESCRIPTION O-FINP))
 (25 25 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (21 21 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (20 5 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (18 3 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (18 2 (:DEFINITION ASSOC-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (14 14 (:TYPE-PRESCRIPTION BITP))
 (14 2 (:REWRITE CONSP-OF-APPEND))
 (12 12 (:REWRITE RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA))
 (12 12 (:REWRITE RP::AND$-PP-LISTS-EXTRACT-SIGN-AND-ACC))
 (12 12 (:REWRITE RP::AND$-PP-LISTS-EXTRACT-ACC))
 (12 12 (:REWRITE RP::AND$-PP-LISTS-AUX-EXTRACT-ACC))
 (10 10 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (8 8 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (6 1 (:REWRITE RP::TYPE-FIX-WHEN-BITP))
 (6 1 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (5 5 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(RP::RP-EVLT_OF_PP-LISTS-TO-TERM_OF_PP-TERM-TO-PP-LISTS
 (5230 1046 (:DEFINITION RP::INCLUDE-FNC))
 (4497 787 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (4320 864 (:DEFINITION RP::TRANS-LIST))
 (4128 516 (:REWRITE RP::NOT-INCLUDE-RP-MEANS-VALID-SC))
 (3951 3951 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (3676 3676 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (3447 3447 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (2780 1041 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (2710 271 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (2588 1034 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (1897 271 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (1482 247 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (1410 235 (:DEFINITION LEN))
 (1406 1406 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (1360 178 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (1173 150 (:DEFINITION RP::PP-LISTS-TO-TERM-P+))
 (1130 1130 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (1084 271 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (1041 1041 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (972 155 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (962 962 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (948 948 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (866 777 (:DEFINITION RP::IS-SYNP$INLINE))
 (851 851 (:TYPE-PRESCRIPTION RP::APPLY-SIGN-TO-PP-LISTS))
 (791 791 (:REWRITE RP::EVAL-OF----))
 (789 789 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (777 777 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (777 777 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (741 741 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (644 271 (:DEFINITION STRIP-CDRS))
 (542 542 (:TYPE-PRESCRIPTION STRIP-CDRS))
 (494 494 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (470 235 (:REWRITE DEFAULT-+-2))
 (420 42 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (396 300 (:DEFINITION RP::PP-LISTS-TO-TERM-AND$))
 (391 198 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (379 379 (:REWRITE RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA))
 (294 42 (:DEFINITION RP::RP-EQUAL))
 (252 21 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (252 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (250 250 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (241 241 (:REWRITE RP::AND$-PP-LISTS-EXTRACT-ACC))
 (235 235 (:TYPE-PRESCRIPTION LEN))
 (235 235 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (235 235 (:REWRITE DEFAULT-+-1))
 (126 126 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (126 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (84 84 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (84 42 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (84 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (46 46 (:REWRITE RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA-3))
 (42 42 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (42 42 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 (39 13 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (14 2 (:REWRITE RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES))
 (12 2 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (6 2 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (2 2 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-SORT-PP-FLATTEN-MAIN-IS-CORRECT
 (24078 30 (:DEFINITION RP::VALID-SC))
 (12248 56 (:DEFINITION RP::RP-TERMP))
 (10798 30 (:REWRITE RP::CAR-OF-EX-FROM-RP-IS-NOT-RP))
 (9609 52 (:DEFINITION RP::RP-TERM-LISTP))
 (8144 175 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (7329 69 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (7251 69 (:DEFINITION APPLY$-BADGEP))
 (6552 6260 (:REWRITE DEFAULT-CDR))
 (5544 48 (:DEFINITION SUBSETP-EQUAL))
 (5483 5483 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (5365 4247 (:REWRITE DEFAULT-CAR))
 (4590 30 (:DEFINITION RP::EVAL-AND-ALL))
 (4584 360 (:DEFINITION MEMBER-EQUAL))
 (3036 120 (:REWRITE SUBSETP-REFLEXIVE-LEMMA))
 (2880 192 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1846 157 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1704 386 (:REWRITE O-P-O-INFP-CAR))
 (1538 123 (:DEFINITION RP::IS-SYNP$INLINE))
 (1464 6 (:DEFINITION RP::FALIST-CONSISTENT))
 (1296 72 (:DEFINITION RP::TRANS-LIST))
 (1188 6 (:DEFINITION RP::FALIST-CONSISTENT-AUX))
 (1038 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (915 55 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (720 720 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (715 715 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (669 157 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (666 2 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (646 336 (:REWRITE O-P-DEF-O-FINP-1))
 (624 624 (:REWRITE SUBSETP-IMPLIES-MEMBER))
 (576 576 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (540 91 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (485 55 (:REWRITE RP::EVAL-OF---1))
 (450 30 (:REWRITE RP::VALID-SC-EX-FROM-RP))
 (384 384 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (376 143 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (374 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (372 24 (:DEFINITION NATP))
 (350 175 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (343 30 (:REWRITE RP::NOT-INCLUDE-RP-MEANS-VALID-SC-LST))
 (336 336 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (334 334 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (330 30 (:REWRITE RP::NOT-INCLUDE-RP))
 (330 30 (:REWRITE RP::NOT-INCLUDE-EX-FROM-RP))
 (310 310 (:TYPE-PRESCRIPTION O-FINP))
 (309 309 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (295 290 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (268 31 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (265 108 (:REWRITE RP::IS-IF-RP-TERMP))
 (262 157 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (262 157 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (262 157 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (213 213 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (209 80 (:REWRITE RP::RP-TERMP-CADR))
 (205 205 (:TYPE-PRESCRIPTION QUOTEP))
 (192 24 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (192 12 (:DEFINITION TRUE-LISTP))
 (188 188 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (180 180 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (177 177 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (164 2 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (162 69 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (150 150 (:TYPE-PRESCRIPTION RP::CONTEXT-FROM-RP))
 (150 30 (:REWRITE RP::VALID-SC-OF-EX-FROM-RP))
 (145 145 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (144 1 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (143 143 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (122 2 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 (120 120 (:REWRITE TRANSITIVITY-OF-SUBSETP-EQUAL))
 (120 30 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (108 55 (:REWRITE RP::EVAL-OF-BIT-OF))
 (108 55 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (108 55 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (108 55 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (108 55 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (108 55 (:REWRITE RP::EVAL-OF-BINARY-?))
 (95 46 (:REWRITE RP::VALID-SC-CADDR))
 (84 36 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (84 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (84 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (72 72 (:TYPE-PRESCRIPTION LEN))
 (72 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (72 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (72 12 (:REWRITE RP::LEN-TO-CONSP))
 (72 12 (:DEFINITION ALL-NILS))
 (60 60 (:TYPE-PRESCRIPTION ALL-NILS))
 (56 28 (:REWRITE RP::RP-TERMP-CADDR))
 (56 28 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (55 55 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (55 55 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (54 54 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT-AUX))
 (48 48 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (48 48 (:TYPE-PRESCRIPTION BITP))
 (48 12 (:REWRITE ZP-OPEN))
 (48 4 (:REWRITE <<-IMPLIES-LEXORDER))
 (46 23 (:REWRITE RP::VALID-SC-CADDDR))
 (41 1 (:DEFINITION RP::RP-EVLT-LST-LST))
 (38 2 (:DEFINITION RP::RP-EQUAL))
 (36 36 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (32 8 (:REWRITE <<-TRICHOTOMY))
 (30 30 (:TYPE-PRESCRIPTION RP::IS-IF$INLINE))
 (30 30 (:TYPE-PRESCRIPTION RP::EVAL-AND-ALL))
 (24 24 (:TYPE-PRESCRIPTION <<))
 (24 24 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP))
 (24 24 (:REWRITE DEFAULT-<-2))
 (24 24 (:REWRITE DEFAULT-<-1))
 (24 24 (:LINEAR LEN-WHEN-PREFIXP))
 (24 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (16 1 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (12 12 (:TYPE-PRESCRIPTION ZP))
 (12 12 (:REWRITE RP::VALID-SC-NIL))
 (12 12 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (12 12 (:LINEAR BOUNDS-POSITION-EQUAL-AC))
 (12 12 (:LINEAR BOUNDS-POSITION-EQUAL))
 (10 10 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 8 (:REWRITE <<-TRANSITIVE))
 (8 4 (:REWRITE <<-ASYMMETRIC))
 (8 1 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (8 1 (:DEFINITION STRIP-CDRS))
 (6 6 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (5 1 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (4 4 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (4 4 (:REWRITE LEXORDER-TRANSITIVE))
 (2 2 (:TYPE-PRESCRIPTION STRIP-CDRS))
 (2 2 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 )
