(RP::PP-LISTS-P)
(RP::PP-HAS-BITP-RP
 (3483 9 (:DEFINITION APPLY$-BADGEP))
 (1821 15 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (1711 12 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (1500 12 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1236 6 (:DEFINITION SUBSETP-EQUAL))
 (1158 84 (:DEFINITION MEMBER-EQUAL))
 (1140 6 (:DEFINITION TRUE-LISTP))
 (738 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (720 12 (:DEFINITION RP::RP-TERM-LISTP))
 (672 30 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (624 18 (:DEFINITION RP::RP-TERMP))
 (362 163 (:REWRITE DEFAULT-+-2))
 (270 30 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (256 16 (:DEFINITION LENGTH))
 (240 72 (:REWRITE RP::IS-IF-RP-TERMP))
 (234 22 (:DEFINITION LEN))
 (228 228 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (224 163 (:REWRITE DEFAULT-+-1))
 (201 40 (:DEFINITION QUOTEP))
 (186 186 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (158 12 (:DEFINITION NATP))
 (144 12 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (129 129 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (128 32 (:REWRITE COMMUTATIVITY-OF-+))
 (128 32 (:DEFINITION INTEGER-ABS))
 (126 126 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (108 12 (:DEFINITION RP::CC-ST-LISTP))
 (96 24 (:REWRITE RP::RP-TERMP-CADDDR))
 (90 6 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (86 30 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (84 84 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (84 21 (:REWRITE RP::RP-TERMP-CADDDDR))
 (72 72 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (72 72 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (72 36 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (72 24 (:REWRITE RP::RP-TERMP-CADR))
 (72 24 (:REWRITE RP::RP-TERMP-CADDR))
 (72 24 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (66 24 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (64 32 (:REWRITE STR::CONSP-OF-EXPLODE))
 (62 50 (:REWRITE DEFAULT-<-2))
 (60 60 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (58 58 (:TYPE-PRESCRIPTION LEN))
 (54 50 (:REWRITE DEFAULT-<-1))
 (48 48 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (48 24 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (48 9 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (39 39 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-3))
 (36 36 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (36 6 (:DEFINITION ALL-NILS))
 (32 32 (:REWRITE DEFAULT-UNARY-MINUS))
 (32 16 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (30 30 (:TYPE-PRESCRIPTION QUOTEP))
 (30 30 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (30 30 (:TYPE-PRESCRIPTION ALL-NILS))
 (28 28 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (27 27 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-2))
 (24 24 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (24 24 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (24 24 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (24 24 (:LINEAR LEN-WHEN-PREFIXP))
 (22 22 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (18 18 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-0))
 (16 16 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (16 16 (:REWRITE INTEGERP==>NUMERATOR-=-X))
 (16 16 (:REWRITE INTEGERP==>DENOMINATOR-=-1))
 (16 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (16 16 (:REWRITE DEFAULT-REALPART))
 (16 16 (:REWRITE DEFAULT-NUMERATOR))
 (16 16 (:REWRITE DEFAULT-IMAGPART))
 (16 16 (:REWRITE DEFAULT-DENOMINATOR))
 (14 14 (:LINEAR MEMBER-EQUAL-ACL2-COUNT-SMALLER-1))
 (12 12 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::PP-TERM-P
 (16906 205 (:DEFINITION RP::EX-FROM-RP))
 (14309 3432 (:REWRITE RP::MEASURE-LEMMA1))
 (14195 400 (:REWRITE RP::NOT-INCLUDE-RP))
 (13537 226 (:DEFINITION RP::INCLUDE-FNC))
 (12005 1266 (:REWRITE RP::MEASURE-LEMMA1-2))
 (9068 141 (:DEFINITION APPLY$-BADGEP))
 (8456 165 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (4170 2742 (:REWRITE DEFAULT-CDR))
 (2979 9 (:DEFINITION SUBSETP-EQUAL))
 (2826 126 (:DEFINITION MEMBER-EQUAL))
 (2586 18 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2576 1281 (:REWRITE DEFAULT-CAR))
 (2110 9 (:DEFINITION TRUE-LISTP))
 (1827 63 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1538 271 (:DEFINITION QUOTEP))
 (1215 45 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1184 18 (:DEFINITION RP::RP-TERM-LISTP))
 (1143 27 (:DEFINITION RP::RP-TERMP))
 (1101 1101 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (1088 120 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (959 959 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (939 66 (:DEFINITION NATP))
 (843 141 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (833 833 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (740 20 (:REWRITE RP::EX-FROM-RP-X2))
 (585 585 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (480 45 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (412 412 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (360 108 (:REWRITE RP::IS-IF-RP-TERMP))
 (288 18 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (279 279 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (234 18 (:DEFINITION RP::CC-ST-LISTP))
 (222 99 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (206 81 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (189 189 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (144 36 (:REWRITE RP::RP-TERMP-CADDDR))
 (126 126 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (108 108 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (108 108 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (108 36 (:REWRITE RP::RP-TERMP-CADR))
 (108 36 (:REWRITE RP::RP-TERMP-CADDR))
 (108 36 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (108 27 (:REWRITE RP::RP-TERMP-CADDDDR))
 (107 9 (:DEFINITION LEN))
 (104 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (99 99 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (99 36 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (90 90 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (90 9 (:DEFINITION ALL-NILS))
 (70 30 (:REWRITE RP::CONS-COUNT-ATOM))
 (63 63 (:TYPE-PRESCRIPTION LEN))
 (54 54 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (45 45 (:TYPE-PRESCRIPTION QUOTEP))
 (45 45 (:TYPE-PRESCRIPTION ALL-NILS))
 (42 42 (:REWRITE RP::EQUALITY-MEASURE-LEMMA3))
 (38 38 (:REWRITE RP::EQUALITY-MEASURE-LEMMA2))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (36 36 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (36 36 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (35 34 (:REWRITE DEFAULT-<-2))
 (35 34 (:REWRITE DEFAULT-<-1))
 (34 34 (:REWRITE RP::EQUALITY-MEASURE-LEMMA1))
 (27 9 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (20 4 (:REWRITE RP::MEASURE-LEMMA7-2))
 (18 18 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (18 18 (:LINEAR LEN-WHEN-PREFIXP))
 (18 9 (:REWRITE DEFAULT-+-2))
 (9 9 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (9 9 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (9 9 (:REWRITE DEFAULT-+-1))
 )
(RP::CUT-LIST-BY-HALF)
(RP::TRUE-LISTP-OF-CUT-LIST-BY-HALF.FIRST
 (3043 21 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2980 7 (:DEFINITION TRUE-LISTP))
 (2448 14 (:DEFINITION RP::RP-TERM-LISTP))
 (2266 28 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (2203 28 (:DEFINITION QUOTEP))
 (2105 14 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (2091 7 (:DEFINITION APPLY$-BADGEP))
 (1433 7 (:DEFINITION SUBSETP-EQUAL))
 (1342 98 (:DEFINITION MEMBER-EQUAL))
 (855 49 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (747 747 (:REWRITE DEFAULT-CDR))
 (567 28 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (490 7 (:DEFINITION RP::RP-TERMP))
 (274 274 (:REWRITE DEFAULT-CAR))
 (266 266 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (252 21 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (217 217 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (203 203 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (189 21 (:DEFINITION RP::CC-ST-LISTP))
 (147 147 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (133 14 (:DEFINITION NATP))
 (105 105 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (98 98 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (91 91 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (84 35 (:REWRITE RP::IS-IF-RP-TERMP))
 (70 70 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (63 63 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (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))
 (42 21 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (42 21 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (42 7 (:DEFINITION ALL-NILS))
 (35 35 (:TYPE-PRESCRIPTION ALL-NILS))
 (35 14 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (35 7 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (33 26 (:REWRITE DEFAULT-+-2))
 (28 28 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION QUOTEP))
 (28 28 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (28 28 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (28 14 (:REWRITE RP::RP-TERMP-CADDR))
 (28 14 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (26 26 (:REWRITE DEFAULT-+-1))
 (21 21 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (14 14 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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$-AS))
 (7 7 (:REWRITE DEFAULT-<-2))
 (7 7 (:REWRITE DEFAULT-<-1))
 (7 7 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (6 6 (:REWRITE ZP-OPEN))
 )
(RP::TRUE-LISTP-OF-CUT-LIST-BY-HALF.SECOND
 (15068 91 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (11857 108 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (11612 108 (:DEFINITION QUOTEP))
 (11391 50 (:DEFINITION RP::RP-TERM-LISTP))
 (11164 38 (:DEFINITION APPLY$-BADGEP))
 (10062 74 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (7559 37 (:DEFINITION SUBSETP-EQUAL))
 (7078 518 (:DEFINITION MEMBER-EQUAL))
 (4509 259 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (3831 3831 (:REWRITE DEFAULT-CDR))
 (2381 108 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2094 29 (:DEFINITION RP::RP-TERMP))
 (1314 1314 (:REWRITE DEFAULT-CAR))
 (1258 37 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (1147 1147 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1092 91 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1023 1023 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (819 91 (:DEFINITION RP::CC-ST-LISTP))
 (777 777 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (730 74 (:DEFINITION NATP))
 (518 518 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (455 455 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (396 157 (:REWRITE RP::IS-IF-RP-TERMP))
 (388 388 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (349 349 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (273 273 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (259 259 (:TYPE-PRESCRIPTION LEN))
 (259 37 (:DEFINITION LEN))
 (257 257 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (232 87 (:REWRITE RP::RP-TERMP-CADR))
 (230 115 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (222 111 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (222 37 (:DEFINITION ALL-NILS))
 (195 38 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (185 185 (:TYPE-PRESCRIPTION ALL-NILS))
 (170 133 (:REWRITE DEFAULT-+-2))
 (157 62 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (148 148 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (133 133 (:REWRITE DEFAULT-+-1))
 (132 62 (:REWRITE RP::RP-TERMP-CADDR))
 (132 62 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (124 124 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (111 111 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (109 49 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (108 108 (:TYPE-PRESCRIPTION QUOTEP))
 (108 108 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (82 82 (:LINEAR LEN-WHEN-PREFIXP))
 (58 58 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (37 37 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (37 37 (:REWRITE DEFAULT-<-2))
 (37 37 (:REWRITE DEFAULT-<-1))
 (32 8 (:REWRITE RP::RP-TERMP-CADDDR))
 (29 29 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (29 29 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (11 11 (:REWRITE ZP-OPEN))
 )
(RP::CUT-LIST-BY-HALF-RETURNS-PP-LISTS
 (12748 63 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (11320 21 (:DEFINITION TRUE-LISTP))
 (9535 42 (:DEFINITION RP::RP-TERM-LISTP))
 (9052 147 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (8401 147 (:DEFINITION QUOTEP))
 (7876 84 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (7813 88 (:DEFINITION APPLY$-BADGEP))
 (5541 21 (:DEFINITION SUBSETP-EQUAL))
 (5268 294 (:DEFINITION MEMBER-EQUAL))
 (3393 147 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (2765 2765 (:REWRITE DEFAULT-CDR))
 (2583 147 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2562 63 (:DEFINITION RP::RP-TERMP))
 (1709 1709 (:REWRITE DEFAULT-CAR))
 (1575 1575 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (756 63 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (672 189 (:REWRITE RP::IS-IF-RP-TERMP))
 (651 651 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (609 609 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (567 63 (:DEFINITION RP::CC-ST-LISTP))
 (508 42 (:DEFINITION NATP))
 (462 462 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (441 441 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (357 357 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (328 328 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (315 315 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (294 294 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (273 84 (:REWRITE RP::RP-TERMP-CADR))
 (239 88 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (210 42 (:REWRITE RP::RP-TERMP-CADDDR))
 (189 189 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (189 63 (:REWRITE RP::RP-TERMP-CADDR))
 (189 63 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (175 145 (:REWRITE DEFAULT-+-2))
 (168 63 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (151 63 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (147 147 (:TYPE-PRESCRIPTION QUOTEP))
 (147 42 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (145 145 (:REWRITE DEFAULT-+-1))
 (126 126 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (126 63 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (126 63 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (126 21 (:DEFINITION ALL-NILS))
 (116 116 (:REWRITE ZP-OPEN))
 (105 105 (:TYPE-PRESCRIPTION ALL-NILS))
 (84 84 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (84 84 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (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::FALIST-CONSISTENT))
 (40 31 (:REWRITE DEFAULT-<-2))
 (29 29 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (21 21 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (21 21 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (14 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (7 7 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (7 7 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::SORT-MEASURE-LEMMA1
 (101 56 (:REWRITE DEFAULT-PLUS-2))
 (66 56 (:REWRITE DEFAULT-PLUS-1))
 (36 36 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (22 22 (:REWRITE DEFAULT-CDR))
 (18 18 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (15 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (11 7 (:REWRITE DEFAULT-LESS-THAN-1))
 (9 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)|))
 (2 2 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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))
 (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))|))
 (4 4 (:REWRITE |(< (/ x) 0)|))
 (4 4 (:REWRITE |(< (* x y) 0)|))
 (4 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (4 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (4 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (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 REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (2 2 (:REWRITE |(equal (+ (- c) x) y)|))
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 (2 2 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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-LEMMA2
 (6 3 (:REWRITE DEFAULT-PLUS-2))
 (5 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (3 3 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (3 3 (:REWRITE NORMALIZE-ADDENDS))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE DEFAULT-PLUS-1))
 (2 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (2 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (2 1 (:REWRITE DEFAULT-LESS-THAN-1))
 (1 1 (:REWRITE THE-FLOOR-BELOW))
 (1 1 (:REWRITE THE-FLOOR-ABOVE))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (1 1 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (1 1 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1 1 (:REWRITE INTEGERP-<-CONSTANT))
 (1 1 (:REWRITE DEFAULT-LESS-THAN-2))
 (1 1 (:REWRITE CONSTANT-<-INTEGERP))
 (1 1 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (1 1 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (1 1 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (1 1 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (1 1 (:REWRITE |(< c (- x))|))
 (1 1 (:REWRITE |(< (if a b c) x)|))
 (1 1 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (1 1 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
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 (1 1 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (1 1 (:REWRITE |(< (/ x) (/ y))|))
 (1 1 (:REWRITE |(< (- x) c)|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 )
(RP::SORT-MEASURE-LEMMA2-V2-
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (4 2 (:REWRITE DEFAULT-PLUS-2))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (2 2 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (2 2 (:REWRITE NORMALIZE-ADDENDS))
 (2 2 (:REWRITE DEFAULT-PLUS-1))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (2 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (2 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (2 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (2 1 (:REWRITE DEFAULT-LESS-THAN-1))
 (2 1 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (1 1 (:REWRITE THE-FLOOR-BELOW))
 (1 1 (:REWRITE THE-FLOOR-ABOVE))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (1 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (1 1 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (1 1 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1 1 (:REWRITE INTEGERP-<-CONSTANT))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (1 1 (:REWRITE DEFAULT-LESS-THAN-2))
 (1 1 (:REWRITE CONSTANT-<-INTEGERP))
 (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))|))
 (1 1 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (1 1 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (1 1 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (1 1 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (1 1 (:REWRITE |(< c (- x))|))
 (1 1 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (1 1 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (1 1 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (1 1 (:REWRITE |(< (/ x) (/ y))|))
 (1 1 (:REWRITE |(< (- x) c)|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::SORT-MEASURE-LEMMA3
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 (665 665 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (665 665 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (665 665 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (468 36 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (324 36 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (324 36 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (180 36 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (180 36 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (180 36 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (180 36 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (180 36 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (180 36 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (180 36 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (54 6 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (33 3 (:REWRITE DEFAULT-FLOOR-RATIO))
 (32 32 (:REWRITE DEFAULT-TIMES-2))
 (32 32 (:REWRITE DEFAULT-TIMES-1))
 (30 6 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (29 29 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (29 29 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (29 29 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (28 17 (:REWRITE DEFAULT-PLUS-2))
 (27 1 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (23 17 (:REWRITE DEFAULT-PLUS-1))
 (23 1 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (21 3 (:DEFINITION LEN))
 (20 20 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (17 8 (:REWRITE DEFAULT-LESS-THAN-1))
 (10 10 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (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 5 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (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|))
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 (6 6 (:REWRITE |(< c (- x))|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (6 6 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) (/ y))|))
 (6 6 (:REWRITE |(< (- x) (- y))|))
 (5 5 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (5 5 (:REWRITE REDUCE-INTEGERP-+))
 (5 5 (:REWRITE INTEGERP-MINUS-X))
 (5 5 (:REWRITE INTEGERP-<-CONSTANT))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE CONSTANT-<-INTEGERP))
 (5 5 (:META META-INTEGERP-CORRECT))
 (5 4 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE DEFAULT-FLOOR-2))
 (3 3 (:REWRITE DEFAULT-FLOOR-1))
 (3 3 (:REWRITE DEFAULT-CDR))
 (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)|))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (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::SORT-MEASURE-LEMMA4
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 (16 16 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (16 16 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (16 16 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (13 1 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (9 1 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (9 1 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (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))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 )
(RP::LEN-OF-CUT-LIST-BY-HALF-SECOND
 (35 5 (:DEFINITION LEN))
 (15 10 (:REWRITE DEFAULT-PLUS-2))
 (10 10 (:REWRITE DEFAULT-PLUS-1))
 (8 8 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (8 8 (:REWRITE NORMALIZE-ADDENDS))
 (7 1 (:DEFINITION RP::CUT-LIST-BY-HALF))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (4 2 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (3 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (3 2 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (3 2 (:REWRITE DEFAULT-LESS-THAN-1))
 (2 2 (:REWRITE THE-FLOOR-BELOW))
 (2 2 (:REWRITE THE-FLOOR-ABOVE))
 (2 2 (:REWRITE SIMPLIFY-SUMS-<))
 (2 2 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (2 2 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (2 2 (:REWRITE INTEGERP-<-CONSTANT))
 (2 2 (:REWRITE DEFAULT-MINUS))
 (2 2 (:REWRITE DEFAULT-LESS-THAN-2))
 (2 2 (:REWRITE CONSTANT-<-INTEGERP))
 (2 2 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (2 2 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (2 2 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (2 2 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (2 2 (:REWRITE |(< c (- x))|))
 (2 2 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (2 2 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (2 2 (:REWRITE |(< (/ x) (/ y))|))
 (2 2 (:REWRITE |(< (- x) c)|))
 (2 2 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(RP::LEN-OF-CUT-LIST-BY-HALF-FIRST
 (21 3 (:DEFINITION LEN))
 (7 4 (:REWRITE DEFAULT-PLUS-2))
 (7 1 (:DEFINITION RP::CUT-LIST-BY-HALF))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (4 4 (:REWRITE NORMALIZE-ADDENDS))
 (4 4 (:REWRITE DEFAULT-PLUS-1))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 2 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (3 2 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (3 2 (:REWRITE DEFAULT-LESS-THAN-1))
 (2 2 (:REWRITE THE-FLOOR-BELOW))
 (2 2 (:REWRITE THE-FLOOR-ABOVE))
 (2 2 (:REWRITE SIMPLIFY-SUMS-<))
 (2 2 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (2 2 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (2 2 (:REWRITE INTEGERP-<-CONSTANT))
 (2 2 (:REWRITE DEFAULT-LESS-THAN-2))
 (2 2 (:REWRITE CONSTANT-<-INTEGERP))
 (2 2 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (2 2 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (2 2 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (2 2 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (2 2 (:REWRITE |(< c (- x))|))
 (2 2 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (2 2 (:REWRITE |(< (/ x) (/ y))|))
 (2 2 (:REWRITE |(< (- x) c)|))
 (2 2 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(RP::GUARD-LEMMA1
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 (477 477 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (477 477 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (477 477 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (325 25 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
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 (225 25 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (125 25 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (125 25 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (125 25 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (125 25 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (125 25 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (125 25 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (125 25 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (54 14 (:REWRITE DEFAULT-PLUS-2))
 (40 40 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (40 40 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (40 40 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
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 (29 29 (:REWRITE DEFAULT-TIMES-2))
 (29 29 (:REWRITE DEFAULT-TIMES-1))
 (27 3 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (27 1 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (23 1 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (22 22 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (20 14 (:REWRITE DEFAULT-PLUS-1))
 (15 3 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (10 5 (:REWRITE DEFAULT-LESS-THAN-1))
 (8 4 (:REWRITE DEFAULT-MINUS))
 (7 7 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6 4 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (5 5 (:REWRITE THE-FLOOR-BELOW))
 (5 5 (:REWRITE THE-FLOOR-ABOVE))
 (5 5 (:REWRITE REDUCE-INTEGERP-+))
 (5 5 (:REWRITE INTEGERP-MINUS-X))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE DEFAULT-LESS-THAN-2))
 (5 5 (:META META-INTEGERP-CORRECT))
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 (5 4 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (5 4 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (5 4 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (4 4 (:REWRITE SIMPLIFY-SUMS-<))
 (4 4 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (4 4 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (4 4 (:REWRITE INTEGERP-<-CONSTANT))
 (4 4 (:REWRITE CONSTANT-<-INTEGERP))
 (4 4 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
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 (4 4 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
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 (4 4 (:REWRITE |(< c (- x))|))
 (4 4 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (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 LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE DEFAULT-FLOOR-2))
 (3 3 (:REWRITE DEFAULT-FLOOR-1))
 (3 3 (:REWRITE |(floor x 2)| . 2))
 (3 3 (:REWRITE |(< (/ x) 0)|))
 (3 3 (:REWRITE |(< (* x y) 0)|))
 (2 2 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (2 2 (:TYPE-PRESCRIPTION ABS))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (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) 0) rationalp (* x y)|))
 )
(RP::O<-FLOOR
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 (60 60 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (60 60 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
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 (14 10 (:REWRITE DEFAULT-PLUS-2))
 (12 12 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
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 (12 12 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (12 10 (:REWRITE DEFAULT-PLUS-1))
 (11 1 (:REWRITE DEFAULT-FLOOR-RATIO))
 (10 2 (:REWRITE DEFAULT-MINUS))
 (8 8 (:REWRITE THE-FLOOR-BELOW))
 (8 8 (:REWRITE THE-FLOOR-ABOVE))
 (8 8 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (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-<))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
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 (6 6 (:REWRITE |(< c (- x))|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (6 6 (:REWRITE |(< (/ x) (/ y))|))
 (6 6 (:REWRITE |(< (- x) (- y))|))
 (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-<))
 (4 4 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (4 4 (:REWRITE |(< 0 (* x y))|))
 (3 3 (:REWRITE |(< 0 (/ x))|))
 (2 2 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE |(< y (+ (- c) x))|))
 (2 2 (:REWRITE |(< x (+ c/d y))|))
 (2 2 (:REWRITE |(< (+ c/d x) y)|))
 (2 2 (:REWRITE |(< (+ (- c) x) y)|))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:REWRITE DEFAULT-FLOOR-2))
 (1 1 (:REWRITE DEFAULT-FLOOR-1))
 (1 1 (:REWRITE |(floor x 2)| . 2))
 (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::O<-FLOOR-2
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 (60 60 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (60 60 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (60 60 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (60 60 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (28 28 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (28 28 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (28 28 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (28 28 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (26 21 (:REWRITE DEFAULT-PLUS-1))
 (17 17 (:REWRITE DEFAULT-TIMES-2))
 (17 17 (:REWRITE DEFAULT-TIMES-1))
 (15 7 (:REWRITE DEFAULT-LESS-THAN-1))
 (11 1 (:REWRITE DEFAULT-FLOOR-RATIO))
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 (2 2 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
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 (1 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
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(RP::POS-LEN-IMPLIES
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 (10 10 (:TYPE-PRESCRIPTION RP::CC-ST-LIST-LISTP))
 (5 5 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(RP::SORT-AND$-LIST
 (19383 64 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (18859 40 (:DEFINITION APPLY$-BADGEP))
 (14216 27 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (14142 27 (:DEFINITION QUOTEP))
 (11986 13 (:DEFINITION RP::RP-TERM-LISTP))
 (10995 529 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (10661 250 (:REWRITE ACL2-NUMBERP-X))
 (10089 36 (:DEFINITION SUBSETP-EQUAL))
 (9796 123 (:REWRITE RATIONALP-X))
 (9193 254 (:DEFINITION MEMBER-EQUAL))
 (8453 152 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (8130 101 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (5521 4 (:DEFINITION RP::SORT-AND$-LIST))
 (4740 27 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (4658 7 (:DEFINITION RP::RP-TERMP))
 (3643 252 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (2703 2219 (:REWRITE DEFAULT-CDR))
 (1994 689 (:REWRITE DEFAULT-CAR))
 (1750 40 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (1620 1620 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (1620 1620 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (1620 1620 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (1594 40 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (1100 64 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (949 26 (:DEFINITION RP::CC-ST-LISTP))
 (888 90 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (811 529 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (756 756 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (666 666 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (644 36 (:DEFINITION ALL-NILS))
 (573 529 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (554 127 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (535 531 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (531 531 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (531 159 (:REWRITE DEFAULT-PLUS-2))
 (529 529 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (529 529 (:REWRITE |(equal c (/ x))|))
 (529 529 (:REWRITE |(equal c (- x))|))
 (529 529 (:REWRITE |(equal (/ x) c)|))
 (529 529 (:REWRITE |(equal (/ x) (/ y))|))
 (529 529 (:REWRITE |(equal (- x) c)|))
 (529 529 (:REWRITE |(equal (- x) (- y))|))
 (529 529 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (520 520 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (504 504 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (374 4 (:REWRITE |(+ x (if a b c))|))
 (302 302 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (286 7 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (284 199 (:REWRITE DEFAULT-LESS-THAN-2))
 (280 280 (:LINEAR LEN-WHEN-PREFIXP))
 (261 183 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (250 250 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (241 183 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (237 215 (:REWRITE REDUCE-INTEGERP-+))
 (216 216 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (215 215 (:REWRITE INTEGERP-MINUS-X))
 (215 215 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (215 215 (:META META-INTEGERP-CORRECT))
 (212 4 (:REWRITE |(+ (+ x y) z)|))
 (201 199 (:REWRITE DEFAULT-LESS-THAN-1))
 (200 200 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (200 200 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (200 200 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (199 199 (:REWRITE THE-FLOOR-BELOW))
 (199 199 (:REWRITE THE-FLOOR-ABOVE))
 (193 193 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (193 193 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (189 185 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (185 185 (:REWRITE INTEGERP-<-CONSTANT))
 (185 185 (:REWRITE CONSTANT-<-INTEGERP))
 (185 185 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (185 185 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (185 185 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (185 185 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (185 185 (:REWRITE |(< c (- x))|))
 (185 185 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (185 185 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (185 185 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (185 185 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (185 185 (:REWRITE |(< (/ x) (/ y))|))
 (185 185 (:REWRITE |(< (- x) c)|))
 (185 185 (:REWRITE |(< (- x) (- y))|))
 (183 183 (:REWRITE SIMPLIFY-SUMS-<))
 (180 180 (:TYPE-PRESCRIPTION ALL-NILS))
 (175 159 (:REWRITE DEFAULT-PLUS-1))
 (165 165 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (156 110 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (156 4 (:REWRITE |(- (if a b c))|))
 (144 144 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (142 142 (:REWRITE DEFAULT-TIMES-2))
 (142 142 (:REWRITE DEFAULT-TIMES-1))
 (127 127 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (124 124 (:REWRITE |(< 0 (* x y))|))
 (123 123 (:REWRITE REDUCE-RATIONALP-+))
 (123 123 (:REWRITE REDUCE-RATIONALP-*))
 (123 123 (:REWRITE RATIONALP-MINUS-X))
 (123 123 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (123 123 (:META META-RATIONALP-CORRECT))
 (110 110 (:REWRITE |(< 0 (/ x))|))
 (109 109 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (108 41 (:REWRITE RP::IS-IF-RP-TERMP))
 (103 5 (:REWRITE DEFAULT-FLOOR-RATIO))
 (102 102 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (90 34 (:REWRITE DEFAULT-MINUS))
 (84 84 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (78 78 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (69 69 (:REWRITE |(< (/ x) 0)|))
 (69 69 (:REWRITE |(< (* x y) 0)|))
 (66 66 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (64 64 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (64 16 (:REWRITE |(* c (* d x))|))
 (56 21 (:REWRITE RP::RP-TERMP-CADR))
 (50 5 (:REWRITE |(* y x)|))
 (48 4 (:REWRITE <<-IMPLIES-LEXORDER))
 (41 16 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (36 16 (:REWRITE RP::RP-TERMP-CADDR))
 (36 16 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (32 32 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (32 8 (:REWRITE <<-TRICHOTOMY))
 (32 8 (:REWRITE |(+ (* c x) (* d x))|))
 (27 27 (:TYPE-PRESCRIPTION QUOTEP))
 (27 27 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (26 2 (:REWRITE RP::SORT-MEASURE-LEMMA1))
 (26 2 (:REWRITE |(* (* x y) z)|))
 (24 24 (:TYPE-PRESCRIPTION <<))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-ZERO . 4))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (23 23 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (20 4 (:REWRITE RP::SORT-MEASURE-LEMMA1-V2))
 (18 18 (:REWRITE |(* (- x) y)|))
 (16 16 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (16 4 (:REWRITE RP::RP-TERMP-CADDDR))
 (14 14 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (10 2 (:REWRITE |(+ y x)|))
 (8 8 (:REWRITE <<-TRANSITIVE))
 (8 4 (:REWRITE <<-ASYMMETRIC))
 (7 7 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (5 5 (:REWRITE DEFAULT-FLOOR-2))
 (5 5 (:REWRITE DEFAULT-FLOOR-1))
 (5 5 (:REWRITE |(floor x 2)| . 2))
 (4 4 (:TYPE-PRESCRIPTION LEXORDER))
 (4 4 (:TYPE-PRESCRIPTION ABS))
 (4 4 (:REWRITE LEXORDER-TRANSITIVE))
 (4 4 (:REWRITE |(equal (+ (- c) x) y)|))
 (4 4 (:REWRITE |(< (+ c/d x) y)|))
 (4 4 (:REWRITE |(< (+ (- c) x) y)|))
 (3 3 (:REWRITE |(< y (+ (- c) x))|))
 (2 2 (:REWRITE |(not (equal (* (/ x) y) 1))|))
 (2 2 (:REWRITE |(floor (+ x r) i)|))
 )
(RP::PP-LISTS-P-IMPLIES-ALISTP
 (3835 15 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (3262 5 (:DEFINITION TRUE-LISTP))
 (2636 16 (:DEFINITION RP::RP-TERM-LISTP))
 (2369 47 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (2088 47 (:DEFINITION QUOTEP))
 (1930 38 (:DEFINITION APPLY$-BADGEP))
 (1927 26 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1284 15 (:DEFINITION RP::RP-TERMP))
 (1200 5 (:DEFINITION SUBSETP-EQUAL))
 (1151 47 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1141 100 (:REWRITE RP::POS-LEN-IMPLIES))
 (1100 70 (:DEFINITION MEMBER-EQUAL))
 (749 639 (:REWRITE DEFAULT-CDR))
 (705 35 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (596 446 (:REWRITE DEFAULT-CAR))
 (355 15 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (310 15 (:DEFINITION RP::CC-ST-LISTP))
 (195 105 (:REWRITE DEFAULT-<-2))
 (190 190 (:LINEAR LEN-WHEN-PREFIXP))
 (172 51 (:REWRITE RP::IS-IF-RP-TERMP))
 (165 38 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (155 155 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (151 151 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (122 122 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (121 40 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (121 10 (:DEFINITION NATP))
 (117 117 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (109 109 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (105 105 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (105 105 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (105 105 (:REWRITE DEFAULT-<-1))
 (77 26 (:REWRITE RP::RP-TERMP-CADR))
 (75 75 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (70 70 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (65 5 (:DEFINITION ALL-NILS))
 (60 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (50 10 (:REWRITE RP::RP-TERMP-CADDDR))
 (47 47 (:TYPE-PRESCRIPTION QUOTEP))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (45 15 (:REWRITE RP::RP-TERMP-CADDR))
 (45 15 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (40 15 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (36 15 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (35 10 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (30 30 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (30 15 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (26 26 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (25 25 (:TYPE-PRESCRIPTION ALL-NILS))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (15 15 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (10 10 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (5 5 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 )
(RP::MERGE-SORTED-PP-LISTS
 (506 46 (:REWRITE RP::POS-LEN-IMPLIES))
 (495 218 (:REWRITE DEFAULT-+-2))
 (333 218 (:REWRITE DEFAULT-+-1))
 (214 60 (:REWRITE DEFAULT-CDR))
 (160 40 (:DEFINITION INTEGER-ABS))
 (153 91 (:REWRITE DEFAULT-<-2))
 (132 66 (:REWRITE DEFAULT-CAR))
 (101 91 (:REWRITE DEFAULT-<-1))
 (92 92 (:LINEAR LEN-WHEN-PREFIXP))
 (80 20 (:DEFINITION LENGTH))
 (66 66 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (40 40 (:REWRITE DEFAULT-UNARY-MINUS))
 (40 20 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (20 20 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (20 20 (:REWRITE INTEGERP==>NUMERATOR-=-X))
 (20 20 (:REWRITE INTEGERP==>DENOMINATOR-=-1))
 (20 20 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (20 20 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (20 20 (:REWRITE DEFAULT-REALPART))
 (20 20 (:REWRITE DEFAULT-NUMERATOR))
 (20 20 (:REWRITE DEFAULT-IMAGPART))
 (20 20 (:REWRITE DEFAULT-DENOMINATOR))
 (6 6 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (4 4 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 )
(RP::PP-LISTS-P-OF-MERGE-SORTED-PP-LISTS
 (5599 509 (:REWRITE RP::POS-LEN-IMPLIES))
 (2504 124 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (2142 119 (:DEFINITION RP::CC-ST-LISTP))
 (1018 1018 (:LINEAR LEN-WHEN-PREFIXP))
 (1018 509 (:REWRITE DEFAULT-<-2))
 (595 595 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (509 509 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (509 509 (:REWRITE DEFAULT-<-1))
 (357 357 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (125 125 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (102 102 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 )
(RP::MERGE-SORTED-PP-LISTS
 (1364 124 (:REWRITE RP::POS-LEN-IMPLIES))
 (777 37 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (666 37 (:DEFINITION RP::CC-ST-LISTP))
 (248 248 (:LINEAR LEN-WHEN-PREFIXP))
 (248 124 (:REWRITE DEFAULT-<-2))
 (234 5 (:DEFINITION RP::MERGE-SORTED-PP-LISTS))
 (185 185 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (154 20 (:DEFINITION ACONS))
 (134 13 (:REWRITE CONS-CAR-CDR))
 (124 124 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (124 124 (:REWRITE DEFAULT-<-1))
 (111 111 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (41 41 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (21 21 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(RP::SORT-PP-LISTS
 (14204 4 (:DEFINITION RP::EX-FROM-RP))
 (13338 8 (:DEFINITION APPLY$-BADGEP))
 (12724 996 (:REWRITE RP::MEASURE-LEMMA1))
 (11082 920 (:REWRITE RP::SORT-MEASURE-LEMMA2))
 (7202 94 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (7032 844 (:REWRITE RP::MEASURE-LEMMA1-2))
 (6673 1039 (:REWRITE DEFAULT-CDR))
 (6364 4 (:REWRITE RP::NOT-INCLUDE-RP))
 (6362 46 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (6352 4 (:DEFINITION RP::INCLUDE-FNC))
 (5494 388 (:REWRITE DEFAULT-CAR))
 (4969 313 (:REWRITE RP::EQUALITY-MEASURE-LEMMA3))
 (4874 8 (:DEFINITION TRUE-LISTP))
 (4738 16 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (3736 8 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (3734 90 (:REWRITE LEN-WHEN-PREFIXP))
 (2498 136 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2420 40 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2356 24 (:DEFINITION RP::RP-TERMP))
 (2174 16 (:DEFINITION RP::RP-TERM-LISTP))
 (1882 8 (:DEFINITION SUBSETP-EQUAL))
 (1738 132 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1508 112 (:DEFINITION MEMBER-EQUAL))
 (1412 16 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1364 16 (:DEFINITION RP::CC-ST-LISTP))
 (960 56 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (841 313 (:REWRITE RP::EQUALITY-MEASURE-LEMMA1))
 (832 832 (:LINEAR LEN-WHEN-PREFIXP))
 (788 788 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (584 132 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (523 313 (:REWRITE DEFAULT-<-2))
 (384 313 (:REWRITE DEFAULT-<-1))
 (363 363 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (360 40 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (352 352 (:TYPE-PRESCRIPTION PREFIXP))
 (334 132 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (320 96 (:REWRITE RP::IS-IF-RP-TERMP))
 (318 8 (:DEFINITION ALL-NILS))
 (248 248 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (244 244 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (240 44 (:DEFINITION QUOTEP))
 (216 16 (:DEFINITION NATP))
 (214 214 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (190 8 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (168 168 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (132 132 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (132 132 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (132 132 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (132 132 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (128 32 (:REWRITE RP::RP-TERMP-CADDDR))
 (117 117 (:REWRITE RP::EQUALITY-MEASURE-LEMMA2))
 (112 112 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (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))
 (90 32 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (80 80 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (80 36 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (64 64 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (48 48 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (40 40 (:TYPE-PRESCRIPTION QUOTEP))
 (40 40 (:TYPE-PRESCRIPTION ALL-NILS))
 (36 18 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (32 32 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (32 32 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (32 32 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (24 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (18 18 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (16 16 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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
 (35467 123 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (30724 41 (:DEFINITION TRUE-LISTP))
 (25378 128 (:DEFINITION RP::RP-TERM-LISTP))
 (23239 369 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (20832 369 (:DEFINITION QUOTEP))
 (19582 296 (:DEFINITION APPLY$-BADGEP))
 (19551 210 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (13618 41 (:DEFINITION SUBSETP-EQUAL))
 (12798 574 (:DEFINITION MEMBER-EQUAL))
 (10706 135 (:DEFINITION RP::RP-TERMP))
 (9528 369 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (8267 287 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (2867 123 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (2502 121 (:DEFINITION RP::CC-ST-LISTP))
 (2001 1062 (:REWRITE DEFAULT-<-2))
 (1904 1904 (:LINEAR LEN-WHEN-PREFIXP))
 (1636 517 (:REWRITE RP::IS-IF-RP-TERMP))
 (1419 1419 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1328 296 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (1271 1271 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1099 1099 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1088 1088 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (1062 1062 (:REWRITE DEFAULT-<-1))
 (986 328 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (986 82 (:DEFINITION NATP))
 (981 981 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (861 861 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (859 859 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (797 312 (:REWRITE RP::RP-TERMP-CADR))
 (605 605 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (574 574 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (533 41 (:DEFINITION ALL-NILS))
 (492 41 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (470 82 (:REWRITE RP::RP-TERMP-CADDDR))
 (399 123 (:REWRITE RP::RP-TERMP-CADDR))
 (399 123 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (369 369 (:TYPE-PRESCRIPTION QUOTEP))
 (363 363 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (328 123 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (289 123 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (287 82 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (246 246 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (246 123 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (210 210 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (205 205 (:TYPE-PRESCRIPTION ALL-NILS))
 (164 164 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (123 123 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (95 95 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (82 82 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (78 39 (:REWRITE DEFAULT-UNARY-MINUS))
 (78 39 (:REWRITE DEFAULT-+-2))
 (41 41 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (39 39 (:REWRITE DEFAULT-+-1))
 )
(RP::SORT-PP-LISTS
 (10667 41 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (9172 13 (:DEFINITION TRUE-LISTP))
 (7721 74 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (7405 25 (:DEFINITION RP::RP-TERM-LISTP))
 (7357 72 (:DEFINITION QUOTEP))
 (7212 60 (:DEFINITION APPLY$-BADGEP))
 (6270 56 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (4730 17 (:DEFINITION SUBSETP-EQUAL))
 (4386 238 (:DEFINITION MEMBER-EQUAL))
 (2801 119 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (2510 2008 (:REWRITE DEFAULT-CDR))
 (2262 25 (:DEFINITION RP::RP-TERMP))
 (2224 74 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2187 1058 (:REWRITE DEFAULT-CAR))
 (928 41 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (910 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (807 40 (:DEFINITION RP::CC-ST-LISTP))
 (773 773 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (592 323 (:REWRITE DEFAULT-<-2))
 (574 574 (:LINEAR LEN-WHEN-PREFIXP))
 (546 60 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (527 527 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (489 489 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (416 118 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (358 358 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (358 104 (:REWRITE RP::IS-IF-RP-TERMP))
 (357 357 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (330 2 (:DEFINITION RP::SORT-PP-LISTS))
 (325 323 (:REWRITE DEFAULT-<-1))
 (313 313 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (238 238 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (228 228 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (225 17 (:DEFINITION ALL-NILS))
 (200 200 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (190 190 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (164 55 (:REWRITE RP::RP-TERMP-CADR))
 (132 11 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (120 120 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (102 51 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (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$-BADGEP-PROPERTIES . 2))
 (82 31 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (72 72 (:TYPE-PRESCRIPTION QUOTEP))
 (68 68 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (62 62 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (51 51 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (47 47 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (22 22 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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$-PP-LISTS-AUX
 (2487 12 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2043 4 (:DEFINITION TRUE-LISTP))
 (1809 12 (:DEFINITION RP::RP-TERM-LISTP))
 (1711 36 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1510 36 (:DEFINITION QUOTEP))
 (1386 20 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1366 20 (:DEFINITION APPLY$-BADGEP))
 (950 4 (:DEFINITION SUBSETP-EQUAL))
 (898 56 (:DEFINITION MEMBER-EQUAL))
 (662 14 (:DEFINITION RP::RP-TERMP))
 (589 36 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (576 28 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (526 526 (:REWRITE DEFAULT-CDR))
 (332 332 (:REWRITE DEFAULT-CAR))
 (326 326 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (161 51 (:REWRITE RP::IS-IF-RP-TERMP))
 (144 12 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (124 124 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (120 120 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (108 12 (:DEFINITION RP::CC-ST-LISTP))
 (107 107 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (96 8 (:DEFINITION NATP))
 (84 84 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (84 84 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (79 31 (:REWRITE RP::RP-TERMP-CADR))
 (64 64 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (60 60 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (56 56 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (52 20 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (46 8 (:REWRITE RP::RP-TERMP-CADDDR))
 (39 12 (:REWRITE RP::RP-TERMP-CADDR))
 (39 12 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (36 36 (:TYPE-PRESCRIPTION QUOTEP))
 (36 36 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (32 12 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (28 12 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (28 8 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (24 24 (:TYPE-PRESCRIPTION LEN))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (24 12 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (24 4 (:DEFINITION ALL-NILS))
 (20 20 (:TYPE-PRESCRIPTION ALL-NILS))
 (20 20 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (16 16 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (16 8 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (12 12 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (8 8 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (4 2 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 )
(RP::PP-LISTS-P-OF-AND$-PP-LISTS-AUX
 (24891 132 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (21805 44 (:DEFINITION TRUE-LISTP))
 (18264 94 (:DEFINITION RP::RP-TERM-LISTP))
 (17484 294 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (15890 294 (:DEFINITION QUOTEP))
 (14814 162 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (14653 159 (:DEFINITION APPLY$-BADGEP))
 (10161 44 (:DEFINITION SUBSETP-EQUAL))
 (9589 616 (:DEFINITION MEMBER-EQUAL))
 (6147 308 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (5525 124 (:DEFINITION RP::RP-TERMP))
 (5457 5455 (:REWRITE DEFAULT-CDR))
 (5259 294 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (3055 3051 (:REWRITE DEFAULT-CAR))
 (1584 132 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1560 444 (:REWRITE RP::IS-IF-RP-TERMP))
 (1364 1364 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1294 1294 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1188 132 (:DEFINITION RP::CC-ST-LISTP))
 (1103 88 (:DEFINITION NATP))
 (940 940 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (924 924 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (812 246 (:REWRITE RP::RP-TERMP-CADR))
 (740 740 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (660 660 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (616 616 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (592 592 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (461 159 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (445 445 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (396 396 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (392 130 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (380 130 (:REWRITE RP::RP-TERMP-CADDR))
 (376 68 (:REWRITE RP::RP-TERMP-CADDDR))
 (342 130 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (299 112 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (294 294 (:TYPE-PRESCRIPTION QUOTEP))
 (291 132 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (276 78 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (264 264 (:TYPE-PRESCRIPTION LEN))
 (264 44 (:DEFINITION ALL-NILS))
 (260 260 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (220 220 (:TYPE-PRESCRIPTION ALL-NILS))
 (194 88 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (186 186 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (176 176 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (132 132 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (96 96 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (88 88 (:LINEAR LEN-WHEN-PREFIXP))
 (48 48 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (48 48 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (44 44 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (44 44 (:REWRITE DEFAULT-<-2))
 (44 44 (:REWRITE DEFAULT-<-1))
 )
(RP::AND$-PP-LISTS
 (23671 120 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (20913 40 (:DEFINITION TRUE-LISTP))
 (17629 84 (:DEFINITION RP::RP-TERM-LISTP))
 (16713 276 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (15431 276 (:DEFINITION QUOTEP))
 (14421 156 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (14279 157 (:DEFINITION APPLY$-BADGEP))
 (10162 40 (:DEFINITION SUBSETP-EQUAL))
 (9642 560 (:DEFINITION MEMBER-EQUAL))
 (6204 280 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (5274 5274 (:REWRITE DEFAULT-CDR))
 (4936 120 (:DEFINITION RP::RP-TERMP))
 (4910 276 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (3298 3298 (:REWRITE DEFAULT-CAR))
 (1440 120 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1308 392 (:REWRITE RP::IS-IF-RP-TERMP))
 (1240 1240 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1164 1164 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1080 120 (:DEFINITION RP::CC-ST-LISTP))
 (1009 80 (:DEFINITION NATP))
 (880 880 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (840 840 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (680 680 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (600 600 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (584 204 (:REWRITE RP::RP-TERMP-CADR))
 (570 570 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (560 560 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (442 157 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (384 72 (:REWRITE RP::RP-TERMP-CADDDR))
 (360 360 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (352 116 (:REWRITE RP::RP-TERMP-CADDR))
 (352 116 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (308 116 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (291 112 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (280 280 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (276 276 (:TYPE-PRESCRIPTION QUOTEP))
 (272 76 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (258 120 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (240 240 (:TYPE-PRESCRIPTION LEN))
 (240 40 (:DEFINITION ALL-NILS))
 (232 232 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (200 200 (:TYPE-PRESCRIPTION ALL-NILS))
 (172 80 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (164 164 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (160 160 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (120 120 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (80 80 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (80 80 (:LINEAR LEN-WHEN-PREFIXP))
 (40 40 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (40 40 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (40 40 (:REWRITE DEFAULT-<-2))
 (40 40 (:REWRITE DEFAULT-<-1))
 (40 40 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::PP-LISTS-P-OF-AND$-PP-LISTS
 (27140 135 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (23388 45 (:DEFINITION TRUE-LISTP))
 (19670 96 (:DEFINITION RP::RP-TERM-LISTP))
 (18903 331 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (17056 331 (:DEFINITION QUOTEP))
 (15837 186 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (15657 195 (:DEFINITION APPLY$-BADGEP))
 (10888 45 (:DEFINITION SUBSETP-EQUAL))
 (10303 630 (:DEFINITION MEMBER-EQUAL))
 (6618 315 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (6173 147 (:DEFINITION RP::RP-TERMP))
 (5816 5816 (:REWRITE DEFAULT-CDR))
 (5806 331 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (3574 3574 (:REWRITE DEFAULT-CAR))
 (1792 493 (:REWRITE RP::IS-IF-RP-TERMP))
 (1620 135 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1395 1395 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1323 1323 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1215 135 (:DEFINITION RP::CC-ST-LISTP))
 (1199 90 (:DEFINITION NATP))
 (1092 1092 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (945 945 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (875 260 (:REWRITE RP::RP-TERMP-CADR))
 (797 797 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (675 675 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (663 663 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (630 630 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (538 195 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (486 90 (:REWRITE RP::RP-TERMP-CADDDR))
 (485 485 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (451 143 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (439 143 (:REWRITE RP::RP-TERMP-CADDR))
 (405 405 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (380 143 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (366 135 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (337 90 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (331 331 (:TYPE-PRESCRIPTION QUOTEP))
 (303 135 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (286 286 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (270 270 (:TYPE-PRESCRIPTION LEN))
 (270 45 (:DEFINITION ALL-NILS))
 (225 225 (:TYPE-PRESCRIPTION ALL-NILS))
 (202 90 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (190 190 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (180 180 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (135 135 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (98 98 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (90 90 (:LINEAR LEN-WHEN-PREFIXP))
 (84 42 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (49 49 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (49 49 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (45 45 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (45 45 (:REWRITE DEFAULT-<-2))
 (45 45 (:REWRITE DEFAULT-<-1))
 )
(RP::APPEND-OF-PP-LIST-P
 (6888 36 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (6084 12 (:DEFINITION TRUE-LISTP))
 (5070 24 (:DEFINITION RP::RP-TERM-LISTP))
 (4806 84 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (4437 84 (:DEFINITION QUOTEP))
 (4137 48 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (4101 51 (:DEFINITION APPLY$-BADGEP))
 (2886 12 (:DEFINITION SUBSETP-EQUAL))
 (2730 168 (:DEFINITION MEMBER-EQUAL))
 (1752 84 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1562 1538 (:REWRITE DEFAULT-CDR))
 (1461 84 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1452 36 (:DEFINITION RP::RP-TERMP))
 (982 973 (:REWRITE DEFAULT-CAR))
 (432 36 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (372 372 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (372 108 (:REWRITE RP::IS-IF-RP-TERMP))
 (348 348 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (324 36 (:DEFINITION RP::CC-ST-LISTP))
 (291 24 (:DEFINITION NATP))
 (252 252 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (231 231 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (204 204 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (180 180 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (174 174 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (168 168 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (153 48 (:REWRITE RP::RP-TERMP-CADR))
 (138 51 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (114 24 (:REWRITE RP::RP-TERMP-CADDDR))
 (108 108 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (105 36 (:REWRITE RP::RP-TERMP-CADDR))
 (105 36 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (96 36 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (87 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (84 84 (:TYPE-PRESCRIPTION QUOTEP))
 (84 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (72 72 (:TYPE-PRESCRIPTION LEN))
 (72 72 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (72 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (72 12 (:DEFINITION ALL-NILS))
 (60 60 (:TYPE-PRESCRIPTION ALL-NILS))
 (48 48 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (48 48 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (48 24 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (41 41 (:TYPE-PRESCRIPTION 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::FALIST-CONSISTENT))
 (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$-AS))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (12 12 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (6 6 (:REWRITE CONSP-OF-APPEND))
 (5 5 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (3 3 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(RP::PP-LISTS-P-IMPLIES-TRUE-LISTP
 (2548 15 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2326 5 (:DEFINITION TRUE-LISTP))
 (1919 10 (:DEFINITION RP::RP-TERM-LISTP))
 (1798 29 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1687 29 (:DEFINITION QUOTEP))
 (1584 16 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1571 15 (:DEFINITION APPLY$-BADGEP))
 (1093 5 (:DEFINITION SUBSETP-EQUAL))
 (1028 70 (:DEFINITION MEMBER-EQUAL))
 (657 35 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (580 580 (:REWRITE DEFAULT-CDR))
 (531 29 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (506 11 (:DEFINITION RP::RP-TERMP))
 (304 304 (:REWRITE DEFAULT-CAR))
 (180 15 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (155 155 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (145 145 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (135 15 (:DEFINITION RP::CC-ST-LISTP))
 (120 37 (:REWRITE RP::IS-IF-RP-TERMP))
 (111 10 (:DEFINITION NATP))
 (105 105 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (84 84 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (77 77 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (75 75 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (70 70 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (61 61 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (55 18 (:REWRITE RP::RP-TERMP-CADR))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (45 15 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (35 13 (:REWRITE RP::RP-TERMP-CADDR))
 (35 13 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (34 13 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (30 30 (:TYPE-PRESCRIPTION LEN))
 (30 15 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (30 6 (:REWRITE RP::RP-TERMP-CADDDR))
 (30 5 (:DEFINITION ALL-NILS))
 (29 29 (:TYPE-PRESCRIPTION QUOTEP))
 (26 26 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (26 11 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (25 25 (:TYPE-PRESCRIPTION ALL-NILS))
 (25 8 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (20 20 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (20 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (15 15 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (10 10 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (10 10 (:LINEAR LEN-WHEN-PREFIXP))
 (5 5 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (5 5 (:REWRITE DEFAULT-<-2))
 (5 5 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::APPLY-SIGN-TO-PP-LISTS)
(RP::PP-LISTS-P-OF-APPLY-SIGN-TO-PP-LISTS
 (13668 66 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (11648 22 (:DEFINITION TRUE-LISTP))
 (9899 50 (:DEFINITION RP::RP-TERM-LISTP))
 (9537 168 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (8548 168 (:DEFINITION QUOTEP))
 (7914 94 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (7803 99 (:DEFINITION APPLY$-BADGEP))
 (5377 22 (:DEFINITION SUBSETP-EQUAL))
 (5091 308 (:DEFINITION MEMBER-EQUAL))
 (3273 154 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (3197 76 (:DEFINITION RP::RP-TERMP))
 (2942 168 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2892 2891 (:REWRITE DEFAULT-CDR))
 (1748 1745 (:REWRITE DEFAULT-CAR))
 (936 267 (:REWRITE RP::IS-IF-RP-TERMP))
 (792 66 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (682 682 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (650 650 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (637 44 (:DEFINITION NATP))
 (594 66 (:DEFINITION RP::CC-ST-LISTP))
 (563 563 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (475 153 (:REWRITE RP::RP-TERMP-CADR))
 (462 462 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (402 402 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (330 330 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (326 326 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (308 308 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (275 99 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (250 44 (:REWRITE RP::RP-TERMP-CADDDR))
 (227 70 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (221 70 (:REWRITE RP::RP-TERMP-CADDR))
 (198 198 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (197 66 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (186 70 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (176 44 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (168 168 (:TYPE-PRESCRIPTION QUOTEP))
 (165 66 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (140 140 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (132 132 (:TYPE-PRESCRIPTION LEN))
 (132 22 (:DEFINITION ALL-NILS))
 (110 110 (:TYPE-PRESCRIPTION ALL-NILS))
 (110 44 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (96 96 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (88 88 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (66 66 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (48 48 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (44 44 (:LINEAR LEN-WHEN-PREFIXP))
 (24 24 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (24 24 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (22 22 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (22 22 (:REWRITE DEFAULT-<-2))
 (22 22 (:REWRITE DEFAULT-<-1))
 )
(RP::PP-TERM-TO-PP-LISTS
 (398 388 (:REWRITE RP::MEASURE-LEMMA1))
 (382 132 (:REWRITE RP::MEASURE-LEMMA1-2))
 (197 129 (:REWRITE DEFAULT-CDR))
 (70 30 (:REWRITE RP::CONS-COUNT-ATOM))
 (20 20 (:REWRITE RP::EX-FROM-RP-X2))
 (20 20 (:REWRITE DEFAULT-CAR))
 (20 4 (:REWRITE RP::MEASURE-LEMMA7-2))
 (10 10 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (9 9 (:REWRITE RP::EQUALITY-MEASURE-LEMMA3))
 (5 5 (:REWRITE RP::EQUALITY-MEASURE-LEMMA2))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE RP::EQUALITY-MEASURE-LEMMA1))
 )
(RP::PP-LISTS-P-OF-PP-TERM-TO-PP-LISTS
 (460350 2418 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (405518 806 (:DEFINITION TRUE-LISTP))
 (337002 1612 (:DEFINITION RP::RP-TERM-LISTP))
 (318482 5642 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (293490 5642 (:DEFINITION QUOTEP))
 (273316 3224 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (270880 3446 (:DEFINITION APPLY$-BADGEP))
 (189150 806 (:DEFINITION SUBSETP-EQUAL))
 (178672 11284 (:DEFINITION MEMBER-EQUAL))
 (114526 5642 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (99150 5642 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (98350 2418 (:DEFINITION RP::RP-TERMP))
 (29016 2418 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (26812 26812 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (25792 7254 (:REWRITE RP::IS-IF-RP-TERMP))
 (24986 24986 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (21762 2418 (:DEFINITION RP::CC-ST-LISTP))
 (19626 1612 (:DEFINITION NATP))
 (17732 17732 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (16926 16926 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (13702 13702 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (12090 12090 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (11646 11646 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (11284 11284 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (10478 3224 (:REWRITE RP::RP-TERMP-CADR))
 (9316 3446 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (8060 1612 (:REWRITE RP::RP-TERMP-CADDDR))
 (7254 7254 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (7254 2418 (:REWRITE RP::RP-TERMP-CADDR))
 (7254 2418 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (6448 2418 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (5888 2418 (:REWRITE APPLY$-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 4836 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (4836 806 (:DEFINITION ALL-NILS))
 (4030 4030 (:TYPE-PRESCRIPTION ALL-NILS))
 (3236 1612 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (3224 3224 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (3224 3224 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (2418 2418 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (1612 1612 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1612 1612 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (1612 1612 (:LINEAR LEN-WHEN-PREFIXP))
 (902 902 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (806 806 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (806 806 (:REWRITE DEFAULT-<-2))
 (806 806 (:REWRITE DEFAULT-<-1))
 (806 806 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (174 174 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 )
(RP::PP-TERM-TO-PP-LISTS
 (52315 51 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (51153 17 (:DEFINITION TRUE-LISTP))
 (49706 34 (:DEFINITION RP::RP-TERM-LISTP))
 (49319 119 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (48790 119 (:DEFINITION QUOTEP))
 (48359 68 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (48308 68 (:DEFINITION APPLY$-BADGEP))
 (46575 17 (:DEFINITION SUBSETP-EQUAL))
 (46354 238 (:DEFINITION MEMBER-EQUAL))
 (42944 352 (:DEFINITION RP::PP-TERM-TO-PP-LISTS))
 (30807 119 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (22857 22857 (:REWRITE DEFAULT-CDR))
 (14487 14487 (:REWRITE DEFAULT-CAR))
 (3107 3107 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (2095 119 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2080 51 (:DEFINITION RP::RP-TERMP))
 (1780 1780 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (612 51 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (544 153 (:REWRITE RP::IS-IF-RP-TERMP))
 (527 527 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (459 51 (:DEFINITION RP::CC-ST-LISTP))
 (414 34 (:DEFINITION NATP))
 (374 374 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (357 357 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (289 289 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (255 255 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (255 255 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (238 238 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (221 68 (:REWRITE RP::RP-TERMP-CADR))
 (189 68 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (170 34 (:REWRITE RP::RP-TERMP-CADDDR))
 (153 153 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (153 51 (:REWRITE RP::RP-TERMP-CADDR))
 (153 51 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (136 51 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (123 51 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (119 119 (:TYPE-PRESCRIPTION QUOTEP))
 (119 34 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (102 102 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (102 51 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (102 17 (:DEFINITION ALL-NILS))
 (85 85 (:TYPE-PRESCRIPTION ALL-NILS))
 (68 68 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (68 68 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (68 34 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (51 51 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (34 34 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (34 34 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::PP-LISTS-TO-TERM-AND$)
(RP::PP-LISTS-TO-TERM-P+
 (1918 9 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1542 3 (:DEFINITION TRUE-LISTP))
 (1393 10 (:DEFINITION RP::RP-TERM-LISTP))
 (1318 29 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1148 29 (:DEFINITION QUOTEP))
 (1049 16 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1032 16 (:DEFINITION APPLY$-BADGEP))
 (717 3 (:DEFINITION SUBSETP-EQUAL))
 (678 42 (:DEFINITION MEMBER-EQUAL))
 (540 11 (:DEFINITION RP::RP-TERMP))
 (466 29 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (435 21 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (401 401 (:REWRITE DEFAULT-CDR))
 (257 257 (:REWRITE DEFAULT-CAR))
 (251 251 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (129 42 (:REWRITE RP::IS-IF-RP-TERMP))
 (108 9 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (93 93 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (91 91 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (85 85 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (81 9 (:DEFINITION RP::CC-ST-LISTP))
 (72 6 (:DEFINITION NATP))
 (67 67 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (66 27 (:REWRITE RP::RP-TERMP-CADR))
 (63 63 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (49 49 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (41 16 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (36 6 (:REWRITE RP::RP-TERMP-CADDDR))
 (30 9 (:REWRITE RP::RP-TERMP-CADDR))
 (30 9 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (29 29 (:TYPE-PRESCRIPTION QUOTEP))
 (27 27 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (24 9 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (21 9 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (21 6 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (18 18 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (18 9 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (18 3 (:DEFINITION ALL-NILS))
 (16 16 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (15 15 (:TYPE-PRESCRIPTION ALL-NILS))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 6 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (9 9 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::FLATTEN-PP-MAIN)
(RP::PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BIT-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BINARY-AND-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-MERGE-PP-AND-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-FLATTEN-PP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BINARY-OR-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-MERGE-PP-OR-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BINARY-NOT-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-BINARY-?-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-IFIX-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-NFIX-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-=-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-ZIP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-EXPT-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-NONNEGATIVE-INTEGER-QUOTIENT-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-FLOOR-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-EVENP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-ODDP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-LOGBITP-WHEN-PP-FLATTEN-FORMULA-CHECKS)
(RP::META-EXTRACT-FORMULA-LOGBIT$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
 (288 288 (:REWRITE DEFAULT-CAR))
 (164 24 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (119 13 (:DEFINITION RP::IS-SYNP$INLINE))
 (91 91 (:REWRITE DEFAULT-CDR))
 (34 24 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (34 24 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (33 23 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (32 22 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (30 6 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (21 21 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (12 12 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (11 11 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (8 8 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (8 8 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1 1 (:REWRITE RP::BIT-FIX-OPENER))
 )
(RP::RP-EVL-OF-BINARY-AND-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (427 427 (:REWRITE DEFAULT-CAR))
 (300 63 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (203 21 (:DEFINITION RP::IS-SYNP$INLINE))
 (171 171 (:REWRITE DEFAULT-CDR))
 (77 63 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (75 61 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (75 61 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (39 9 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (35 7 (:REWRITE RP::BIT-FIX-OPENER))
 (34 34 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (32 32 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (21 7 (:DEFINITION BITP))
 (20 20 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (17 17 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (14 14 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (14 14 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (13 13 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (7 7 (:TYPE-PRESCRIPTION BITP))
 )
(RP::RP-EVL-OF-MERGE-PP-AND-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (199 199 (:REWRITE DEFAULT-CAR))
 (138 36 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (81 81 (:REWRITE DEFAULT-CDR))
 (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))
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 (42 36 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
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 (42 36 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
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 (42 36 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
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 (42 36 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
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 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
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 )
(RP::RP-EVL-OF-FLATTEN-PP-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (177 177 (:REWRITE DEFAULT-CAR))
 (90 17 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (61 7 (:DEFINITION RP::IS-SYNP$INLINE))
 (50 50 (:REWRITE DEFAULT-CDR))
 (23 17 (:REWRITE RP::RP-EVL-OF-ZP-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-SYMBOLP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-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-REALPART-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IMAGPART-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-FORCE-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
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 (23 17 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
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 (23 17 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (5 5 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (3 3 (:TYPE-PRESCRIPTION RP::FLATTEN-PP))
 )
(RP::RP-EVL-OF-BINARY-OR-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (427 427 (:REWRITE DEFAULT-CAR))
 (300 63 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (203 21 (:DEFINITION RP::IS-SYNP$INLINE))
 (171 171 (:REWRITE DEFAULT-CDR))
 (77 63 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (77 63 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
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 (77 63 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
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 (75 61 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (39 9 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (35 7 (:REWRITE RP::BIT-FIX-OPENER))
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 (20 20 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (17 17 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
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 (14 14 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (13 13 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (7 7 (:TYPE-PRESCRIPTION BITP))
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(RP::RP-EVL-OF-MERGE-PP-OR-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (199 199 (:REWRITE DEFAULT-CAR))
 (138 36 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (81 81 (:REWRITE DEFAULT-CDR))
 (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))
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 (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))
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 (42 36 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
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 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
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 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
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(RP::RP-EVL-OF-BINARY-NOT-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (177 177 (:REWRITE DEFAULT-CAR))
 (96 20 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (61 7 (:DEFINITION RP::IS-SYNP$INLINE))
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 (26 20 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (26 20 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (26 20 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (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$-CALL))
 (26 20 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (26 20 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (25 19 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
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 (24 18 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (10 10 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (10 2 (:REWRITE RP::BIT-FIX-OPENER))
 (9 9 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 2 (:DEFINITION BITP))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$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))
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 )
(RP::RP-EVL-OF-BINARY-?-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (368 86 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (349 349 (:REWRITE DEFAULT-CAR))
 (249 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))
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 (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))
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 (96 86 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
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 (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))
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 (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))
 (35 7 (:REWRITE RP::BIT-FIX-OPENER))
 (34 34 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (33 33 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (24 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (21 7 (:DEFINITION BITP))
 (18 18 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (18 18 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (12 12 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (7 7 (:TYPE-PRESCRIPTION BITP))
 )
(RP::RP-EVL-OF-IFIX-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (284 284 (:REWRITE DEFAULT-CAR))
 (131 21 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (93 11 (:DEFINITION RP::IS-SYNP$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$-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (29 19 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (29 19 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (24 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (17 17 (:TYPE-PRESCRIPTION RP::IS-SYNP$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))
 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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
 (397 397 (:REWRITE DEFAULT-CAR))
 (183 32 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (125 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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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$INLINE))
 (9 9 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (8 8 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (8 8 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::RP-EVL-OF-=-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (399 399 (:REWRITE DEFAULT-CAR))
 (292 4 (:DEFINITION RP::RP-TERMP))
 (249 38 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (188 188 (:REWRITE DEFAULT-CDR))
 (187 19 (:DEFINITION RP::IS-SYNP$INLINE))
 (152 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (152 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (84 84 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (60 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (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$-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (50 38 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (50 2 (:DEFINITION RP::RP-EQUAL))
 (48 36 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (48 36 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (42 42 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (32 16 (:REWRITE RP::IS-IF-RP-TERMP))
 (26 26 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (25 21 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (24 24 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (21 21 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (21 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (20 8 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (20 4 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (16 8 (:REWRITE RP::RP-TERMP-CADR))
 (16 8 (:REWRITE RP::RP-TERMP-CADDR))
 (16 8 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (9 9 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (8 8 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (8 8 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (8 8 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (8 4 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (8 4 (:DEFINITION QUOTEP))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (6 6 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (4 4 (:TYPE-PRESCRIPTION QUOTEP))
 (4 2 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (4 2 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 )
(RP::RP-EVL-OF-ZIP-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (284 284 (:REWRITE DEFAULT-CAR))
 (133 22 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (93 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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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$INLINE))
 (8 8 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::RP-EVL-OF-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (284 284 (:REWRITE DEFAULT-CAR))
 (131 21 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (93 11 (:DEFINITION RP::IS-SYNP$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$-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (31 21 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (30 20 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (29 19 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (29 19 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (28 18 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (24 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (17 17 (:TYPE-PRESCRIPTION RP::IS-SYNP$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))
 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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
 (1007 1007 (:REWRITE DEFAULT-CAR))
 (364 102 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (195 195 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NON-ZERO-BASE))
 (178 26 (:DEFINITION RP::IS-SYNP$INLINE))
 (177 177 (:REWRITE DEFAULT-CDR))
 (134 102 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (134 102 (:REWRITE RP::RP-EVL-OF-FORCE$-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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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$INLINE))
 (24 6 (:REWRITE DEFAULT-*-2))
 (24 3 (:REWRITE DEFAULT-UNARY-/))
 (21 21 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (19 11 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (16 16 (:REWRITE DEFAULT-+-2))
 (16 16 (:REWRITE DEFAULT-+-1))
 (15 6 (:REWRITE DEFAULT-*-1))
 (11 11 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (10 10 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (10 10 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (8 8 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE ZIP-OPEN))
 )
(RP::RP-EVL-OF-EXPT-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (178 178 (:REWRITE DEFAULT-CAR))
 (120 21 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (70 70 (:REWRITE DEFAULT-CDR))
 (39 39 (:TYPE-PRESCRIPTION RATIONALP-EXPT-TYPE-PRESCRIPTION))
 (39 39 (: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$-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (12 2 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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
 (543 543 (:REWRITE DEFAULT-CAR))
 (221 67 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (116 116 (:REWRITE DEFAULT-CDR))
 (102 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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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$INLINE))
 (18 9 (:REWRITE DEFAULT-+-1))
 (16 9 (:REWRITE DEFAULT-+-2))
 (14 14 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (14 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (13 13 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (12 6 (:REWRITE DEFAULT-<-1))
 (11 11 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::RP-EVL-OF-NONNEGATIVE-INTEGER-QUOTIENT-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (178 178 (:REWRITE DEFAULT-CAR))
 (120 21 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 9 (:DEFINITION RP::IS-SYNP$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$-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (27 21 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (12 2 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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
 (468 468 (:REWRITE DEFAULT-CAR))
 (419 87 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (281 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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (69 13 (:REWRITE DEFAULT-UNARY-/))
 (51 51 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (40 24 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (37 13 (:REWRITE DEFAULT-*-1))
 (36 36 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (33 7 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (31 10 (:REWRITE DEFAULT-NUMERATOR))
 (29 29 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (26 26 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (24 24 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (20 20 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (20 20 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (20 12 (:REWRITE RATIONALP-*))
 (18 10 (:REWRITE INTEGERP==>NUMERATOR-=-X))
 (16 5 (:REWRITE DEFAULT-DENOMINATOR))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (13 13 (:REWRITE DEFAULT-*-2))
 (12 12 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (9 5 (:REWRITE INTEGERP==>DENOMINATOR-=-1))
 (6 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 4 (:REWRITE DEFAULT-+-2))
 (6 4 (:REWRITE DEFAULT-+-1))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 )
(RP::RP-EVL-OF-EVENP-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (171 171 (:REWRITE DEFAULT-CAR))
 (91 16 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (61 7 (:DEFINITION RP::IS-SYNP$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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (5 5 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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
 (281 281 (:REWRITE DEFAULT-CAR))
 (126 18 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (93 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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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$INLINE))
 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::RP-EVL-OF-LOGBITP-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (186 186 (:REWRITE DEFAULT-CAR))
 (125 24 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 9 (:DEFINITION RP::IS-SYNP$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$-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (30 24 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (29 23 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::RP-EVL-OF-LOGBIT$INLINE-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (299 299 (:REWRITE DEFAULT-CAR))
 (188 35 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (132 14 (:DEFINITION RP::IS-SYNP$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$-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (45 35 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (44 34 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (44 34 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (43 33 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (21 21 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (21 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (10 10 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (10 10 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (9 9 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (9 9 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::RP-EVL-OF-BIT-OF-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (199 199 (:REWRITE DEFAULT-CAR))
 (138 36 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (81 81 (:REWRITE DEFAULT-CDR))
 (42 36 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (42 36 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::RP-EVL-OF-BINARY-XOR-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (312 312 (:REWRITE DEFAULT-CAR))
 (205 49 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (132 14 (:DEFINITION RP::IS-SYNP$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$-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (59 49 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (58 48 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (58 48 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (30 6 (:REWRITE RP::BIT-FIX-OPENER))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (24 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (23 23 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (18 6 (:DEFINITION BITP))
 (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))
 )
(RP::RP-EVL-OF-TYPE-P-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (177 177 (:REWRITE DEFAULT-CAR))
 (92 18 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (61 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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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$INLINE))
 (5 5 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (4 4 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::RP-EVL-OF-TYPE-FIX-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (292 292 (:REWRITE DEFAULT-CAR))
 (151 26 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (106 12 (:DEFINITION RP::IS-SYNP$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$-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (36 26 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (35 25 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (35 25 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (21 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (19 19 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (11 11 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (8 8 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (7 7 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (7 7 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (7 7 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (3 3 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 )
(RP::RP-EVL-OF-P+-WHEN-PP-FLATTEN-FORMULA-CHECKS
 (199 199 (:REWRITE DEFAULT-CAR))
 (140 37 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (87 9 (:DEFINITION RP::IS-SYNP$INLINE))
 (84 84 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (81 81 (:REWRITE DEFAULT-CDR))
 (43 37 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (43 37 (:REWRITE RP::RP-EVL-OF-FORCE$-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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (7 7 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (6 6 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::RP-EVL-OF----WHEN-PP-FLATTEN-FORMULA-CHECKS
 (177 177 (:REWRITE DEFAULT-CAR))
 (92 18 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (61 7 (:DEFINITION RP::IS-SYNP$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$-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (24 18 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (23 17 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (20 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (15 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (13 13 (:TYPE-PRESCRIPTION RP::IS-SYNP$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))
 (5 5 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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))
 (129 129 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (81 12 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (57 6 (:DEFINITION RP::IS-SYNP$INLINE))
 (52 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (40 40 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (24 24 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (14 12 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (14 12 (:REWRITE RP::RP-EVL-OF-FORCE$-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$INLINE))
 (12 4 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (11 11 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (9 9 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (9 9 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::WHEN-EX-FROM-RP-IS-0
 (396 384 (:REWRITE DEFAULT-CDR))
 (310 286 (:REWRITE DEFAULT-CAR))
 (130 130 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (81 12 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (57 6 (:DEFINITION RP::IS-SYNP$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))
 (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-DONT-RW-CONTEXT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (9 9 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (9 9 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (5 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))
 (31 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (26 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (18 18 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (14 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (13 13 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (10 1 (:DEFINITION RP::INCLUDE-FNC))
 (8 8 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (7 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$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$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (3 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (2 2 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (2 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::EVAL-OF-BINARY-NOT
 (74 65 (:REWRITE DEFAULT-CDR))
 (56 38 (:REWRITE DEFAULT-CAR))
 (54 3 (:DEFINITION RP::TRANS-LIST))
 (31 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (27 27 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (26 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (19 19 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (14 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (12 12 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (10 1 (:DEFINITION RP::INCLUDE-FNC))
 (7 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (7 3 (:REWRITE RP::EVAL-OF-BINARY-NOT-1))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (5 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (5 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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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 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))
 (31 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (26 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (18 18 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (14 14 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (14 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (10 1 (:DEFINITION RP::INCLUDE-FNC))
 (8 8 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (7 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (4 2 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$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$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (3 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (2 2 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::EVAL-OF----
 (74 65 (:REWRITE DEFAULT-CDR))
 (57 39 (:REWRITE DEFAULT-CAR))
 (54 3 (:DEFINITION RP::TRANS-LIST))
 (31 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (27 27 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (26 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (20 20 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (14 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (12 12 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (10 1 (:DEFINITION RP::INCLUDE-FNC))
 (7 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (7 3 (:REWRITE RP::EVAL-OF---1))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (5 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (5 3 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (5 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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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 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))
 (47 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (28 28 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (28 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (8 4 (:REWRITE RP::EVAL-OF----))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (6 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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 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$INLINE))
 )
(RP::EVAL-OF-BIT-OF
 (125 110 (:REWRITE DEFAULT-CDR))
 (93 63 (:REWRITE DEFAULT-CAR))
 (90 5 (:DEFINITION RP::TRANS-LIST))
 (47 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (45 45 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (35 35 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (28 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 20 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (20 2 (:DEFINITION RP::INCLUDE-FNC))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (11 5 (:REWRITE RP::EVAL-OF-BIT-OF-1))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (9 5 (:REWRITE RP::EVAL-OF----))
 (8 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (8 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (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$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (5 5 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (5 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$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))
 (63 7 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (54 54 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (52 4 (:DEFINITION RP::IS-SYNP$INLINE))
 (44 44 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (42 6 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (30 3 (:DEFINITION RP::INCLUDE-FNC))
 (24 24 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (15 7 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (12 6 (:REWRITE RP::EVAL-OF-BIT-OF))
 (12 6 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (12 6 (:REWRITE RP::EVAL-OF----))
 (9 9 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (9 6 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (9 6 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (7 7 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (7 7 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (7 7 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-FORCE$-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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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 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$INLINE))
 )
(RP::EVAL-OF-BINARY-?
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 (126 7 (:DEFINITION RP::TRANS-LIST))
 (63 63 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
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 (52 52 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (52 4 (:DEFINITION RP::IS-SYNP$INLINE))
 (42 6 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (30 3 (:DEFINITION RP::INCLUDE-FNC))
 (28 28 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (15 7 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (15 7 (:REWRITE RP::EVAL-OF-BINARY-?-1))
 (13 7 (:REWRITE RP::EVAL-OF-BIT-OF))
 (13 7 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (13 7 (:REWRITE RP::EVAL-OF----))
 (11 7 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (11 7 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (9 9 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (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$-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (7 7 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (7 7 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (4 4 (:TYPE-PRESCRIPTION RP::IS-SYNP$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))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-BINARY-OR-1
 (110 98 (:REWRITE DEFAULT-CDR))
 (78 54 (:REWRITE DEFAULT-CAR))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (47 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (32 32 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (28 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (8 4 (:REWRITE RP::EVAL-OF-BIT-OF))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-?))
 (8 4 (:REWRITE RP::EVAL-OF----))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (6 4 (: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))
 (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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
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 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
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 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 )
(RP::EVAL-OF-BINARY-OR
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 (90 5 (:DEFINITION RP::TRANS-LIST))
 (47 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (45 45 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
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 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (28 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 20 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (20 2 (:DEFINITION RP::INCLUDE-FNC))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (11 5 (:REWRITE RP::EVAL-OF-BINARY-OR-1))
 (9 5 (:REWRITE RP::EVAL-OF-BIT-OF))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-?))
 (9 5 (:REWRITE RP::EVAL-OF----))
 (8 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (8 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (5 5 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (5 5 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FORCE$-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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (5 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (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$INLINE))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-BINARY-XOR-1
 (110 98 (:REWRITE DEFAULT-CDR))
 (80 56 (:REWRITE DEFAULT-CAR))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (47 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (34 34 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (28 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (8 4 (:REWRITE RP::EVAL-OF-BIT-OF))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (8 4 (:REWRITE RP::EVAL-OF-BINARY-?))
 (8 4 (:REWRITE RP::EVAL-OF----))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (6 4 (: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))
 (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$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$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
 (125 110 (:REWRITE DEFAULT-CDR))
 (99 69 (:REWRITE DEFAULT-CAR))
 (90 5 (:DEFINITION RP::TRANS-LIST))
 (47 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (45 45 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (41 41 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (28 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 20 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (20 2 (:DEFINITION RP::INCLUDE-FNC))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (11 5 (:REWRITE RP::EVAL-OF-BINARY-XOR-1))
 (9 5 (:REWRITE RP::EVAL-OF-BIT-OF))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-?))
 (9 5 (:REWRITE RP::EVAL-OF----))
 (8 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (8 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (5 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (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$INLINE))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-BINARY-AND-1
 (110 98 (:REWRITE DEFAULT-CDR))
 (82 58 (:REWRITE DEFAULT-CAR))
 (72 4 (:DEFINITION RP::TRANS-LIST))
 (47 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (36 36 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (36 36 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (28 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 16 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (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-?))
 (8 4 (:REWRITE RP::EVAL-OF----))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (6 4 (: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))
 (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$-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (5 5 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4 4 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$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
 (125 110 (:REWRITE DEFAULT-CDR))
 (101 71 (:REWRITE DEFAULT-CAR))
 (90 5 (:DEFINITION RP::TRANS-LIST))
 (47 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (45 45 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (43 43 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (28 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (20 20 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (20 2 (:DEFINITION RP::INCLUDE-FNC))
 (11 5 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (11 5 (:REWRITE RP::EVAL-OF-BINARY-AND-1))
 (9 5 (:REWRITE RP::EVAL-OF-BIT-OF))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (9 5 (:REWRITE RP::EVAL-OF-BINARY-?))
 (9 5 (:REWRITE RP::EVAL-OF----))
 (8 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (8 5 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (5 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (4 4 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (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
 (2 2 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::PP-HAS-BITP-RP-IMPLIES-LEMMA
 (1231 1180 (:REWRITE DEFAULT-CDR))
 (1207 1065 (:REWRITE DEFAULT-CAR))
 (782 17 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (545 545 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (401 30 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (341 29 (:DEFINITION RP::IS-SYNP$INLINE))
 (275 55 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (270 15 (:DEFINITION RP::TRANS-LIST))
 (186 12 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (165 55 (:DEFINITION APPLY$-BADGEP))
 (110 55 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (84 24 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (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-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))
 (51 42 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (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-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-EQUAL-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (44 26 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (42 42 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (41 26 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (41 26 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (37 12 (:REWRITE RP::EVAL-OF-BIT-OF))
 (37 12 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (37 12 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (37 12 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (37 12 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (37 12 (:REWRITE RP::EVAL-OF-BINARY-?))
 (37 12 (:REWRITE RP::EVAL-OF----))
 (34 34 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (30 30 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (25 12 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (25 12 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (25 5 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (13 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
 (426 426 (:REWRITE DEFAULT-CDR))
 (262 262 (:REWRITE DEFAULT-CAR))
 (174 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (100 100 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (90 6 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (89 3 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (82 5 (:DEFINITION RP::INCLUDE-FNC))
 (78 6 (:DEFINITION RP::IS-SYNP$INLINE))
 (65 13 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (56 4 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (39 13 (:DEFINITION APPLY$-BADGEP))
 (26 13 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (22 22 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (19 19 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (18 6 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (14 14 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (13 13 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (12 12 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (12 12 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (12 5 (:DEFINITION QUOTEP))
 (9 3 (:REWRITE RP::EVAL-OF-BIT-OF))
 (9 3 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (9 3 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (9 3 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (9 3 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (9 3 (:REWRITE RP::EVAL-OF-BINARY-?))
 (9 3 (:REWRITE RP::EVAL-OF----))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (6 6 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (6 6 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (6 6 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (6 6 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (6 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (6 3 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (6 2 (:REWRITE RP::VALID-SC-OF-EX-FROM-RP))
 (6 2 (:REWRITE RP::VALID-SC-EX-FROM-RP))
 )
(RP::PP-TERM-P-IS-BITP
 (4980 4980 (:REWRITE DEFAULT-CDR))
 (3900 260 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (3380 260 (:DEFINITION RP::IS-SYNP$INLINE))
 (2022 2022 (:REWRITE DEFAULT-CAR))
 (1833 1833 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1816 138 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (1402 138 (:DEFINITION RP::INCLUDE-FNC))
 (1397 11 (:REWRITE RP::VALID-SC-EX-FROM-RP-2))
 (1364 11 (:DEFINITION RP::EVAL-AND-ALL))
 (798 133 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (780 260 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (425 138 (:DEFINITION QUOTEP))
 (414 414 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (392 140 (:REWRITE RP::EVAL-OF----))
 (276 276 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (266 266 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (265 139 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (55 55 (:TYPE-PRESCRIPTION RP::EVAL-AND-ALL))
 (55 55 (:TYPE-PRESCRIPTION RP::CONTEXT-FROM-RP))
 )
(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))
 (37 37 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (37 37 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (37 37 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (37 1 (:REWRITE |(floor (+ x r) i)|))
 (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$-AS))
 (4 4 (:REWRITE INTEGERP-<-CONSTANT))
 (4 4 (:REWRITE CONSTANT-<-INTEGERP))
 (4 4 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (4 4 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (4 4 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (4 4 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (4 4 (:REWRITE |(< c (- x))|))
 (4 4 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (4 4 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (4 4 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (4 4 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (4 4 (:REWRITE |(< (/ x) (/ y))|))
 (4 4 (:REWRITE |(< (- x) c)|))
 (4 4 (:REWRITE |(< (- x) (- y))|))
 (3 3 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (3 3 (:REWRITE DEFAULT-FLOOR-2))
 (3 3 (:REWRITE |(floor x 2)| . 2))
 (3 3 (:REWRITE |(< y (+ (- c) x))|))
 (3 3 (:REWRITE |(< x (+ c/d y))|))
 (2 2 (:TYPE-PRESCRIPTION ABS))
 (2 2 (:REWRITE |(< (+ c/d x) y)|))
 (2 2 (:REWRITE |(< (+ (- c) x) y)|))
 (2 2 (:REWRITE |(* (- x) y)|))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:REWRITE |(< (/ x) y) with (< x 0)|))
 )
(RP::FIX-LESS-THAN-WITH-SMM
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (2 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (2 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (1 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-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))|))
 (1 1 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::BIT-LIST-LISTP)
(RP::RP-EVLT-LST-LST)
(RP::TIMES$)
(RP::TIMES$-OF-1-AND-0
 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE DEFAULT-*-2))
 (2 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (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$-AS))
 (4 4 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(RP::BIT-LISTP-LEMMA
 (146 1 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (143 1 (:DEFINITION RP::PP-TERM-P))
 (81 62 (:REWRITE DEFAULT-CAR))
 (60 5 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (45 5 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (40 1 (:DEFINITION RP::RP-TRANS))
 (36 12 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (28 28 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (27 27 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (26 26 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (25 25 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (22 22 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (20 5 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (18 18 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (18 1 (:DEFINITION RP::TRANS-LIST))
 (15 1 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (13 1 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (13 1 (:DEFINITION RP::IS-SYNP$INLINE))
 (10 1 (:DEFINITION RP::INCLUDE-FNC))
 (9 1 (:DEFINITION RP::IS-FALIST))
 (7 2 (:DEFINITION QUOTEP))
 (5 5 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (3 1 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (3 1 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (2 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (2 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (1 1 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (1 1 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (1 1 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (1 1 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (1 1 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-FORCE$-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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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
 (40 1 (:DEFINITION RP::RP-TRANS))
 (30 27 (:REWRITE DEFAULT-CDR))
 (21 15 (:REWRITE DEFAULT-CAR))
 (18 1 (:DEFINITION RP::TRANS-LIST))
 (15 1 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (13 13 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (13 1 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (13 1 (:DEFINITION RP::IS-SYNP$INLINE))
 (12 1 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (10 1 (:DEFINITION RP::INCLUDE-FNC))
 (9 1 (:DEFINITION RP::IS-FALIST))
 (9 1 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (8 8 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (7 7 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (7 2 (:DEFINITION QUOTEP))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 6 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (6 2 (:DEFINITION RP::RP-TRANS-LST))
 (4 1 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (4 1 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (3 1 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (2 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (2 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (1 1 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (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$-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (1 1 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (1 1 (:REWRITE RP::EVAL-OF-BIT-OF))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-?))
 (1 1 (:REWRITE RP::EVAL-OF----))
 (1 1 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::OR$-TO-PP-SUM
 (6 6 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::BINARY-XOR-TO-PP-SUM
 (6 6 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::BINARY-?-TO-PP-SUM
 (14 14 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(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))
 (1 1 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(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
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (1 1 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (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
 (2 2 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(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$-2
 (53 53 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (46 10 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (18 18 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 10 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (10 10 (:REWRITE DEFAULT-*-2))
 (10 10 (:REWRITE DEFAULT-*-1))
 )
(RP::PP-SUM-EQUALS
 (61 15 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (34 12 (:DEFINITION BITP))
 (24 24 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (15 15 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (12 12 (:TYPE-PRESCRIPTION BITP))
 (6 6 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(RP::--OF--EQUALS
 (12 4 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (6 6 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 (6 6 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 2 (:DEFINITION BITP))
 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:TYPE-PRESCRIPTION BITP))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(RP::AND$-OF-1-0
 (17 5 (:REWRITE RP::BIT-FIX-OPENER))
 (11 11 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (9 3 (:DEFINITION BITP))
 (3 3 (:TYPE-PRESCRIPTION BITP))
 )
(RP::PP-SUM-OF-NEGATED-SUM
 (56 16 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (30 10 (:DEFINITION BITP))
 (22 22 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (16 16 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (10 10 (:TYPE-PRESCRIPTION BITP))
 (9 9 (:REWRITE DEFAULT-+-2))
 (9 9 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:REWRITE FOLD-CONSTS-IN-+))
 (1 1 (:TYPE-PRESCRIPTION RP::TYPE-FIX))
 )
(RP::AND$-ASSOC
 (17 17 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (12 4 (:DEFINITION BITP))
 (4 4 (:TYPE-PRESCRIPTION BITP))
 )
(RP::AND$-COMM-LOOP=STOPPER
 (17 17 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (12 4 (:DEFINITION BITP))
 (4 4 (:TYPE-PRESCRIPTION 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))
 (12 12 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (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 6 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 )
(RP::TYPE-FIX-OF-TIMES
 (126 8 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (120 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))
 (4 4 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (2 2 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 )
(RP::TIMES$-OF---
 (252 16 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (240 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))
 (8 8 (:META RP::BINARY-OR**/AND**-GUARD-META-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$-DISTRIBUTE-OVER-PP-SUM
 (380 26 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (360 6 (:DEFINITION BITP))
 (180 12 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (168 24 (:REWRITE ACL2-NUMBERP-X))
 (84 12 (:REWRITE RATIONALP-X))
 (75 75 (:REWRITE DEFAULT-TIMES-2))
 (75 75 (:REWRITE DEFAULT-TIMES-1))
 (40 40 (:REWRITE DEFAULT-PLUS-2))
 (40 40 (:REWRITE DEFAULT-PLUS-1))
 (36 12 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (26 26 (:REWRITE REDUCE-INTEGERP-+))
 (26 26 (:REWRITE INTEGERP-MINUS-X))
 (26 26 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (26 26 (:META META-INTEGERP-CORRECT))
 (24 24 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (18 18 (:TYPE-PRESCRIPTION BITP))
 (14 14 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (12 12 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (12 12 (:REWRITE REDUCE-RATIONALP-+))
 (12 12 (:REWRITE REDUCE-RATIONALP-*))
 (12 12 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (12 12 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (12 12 (:REWRITE RATIONALP-MINUS-X))
 (12 12 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (12 12 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (12 12 (:REWRITE |(equal c (/ x))|))
 (12 12 (:REWRITE |(equal c (- x))|))
 (12 12 (:REWRITE |(equal (/ x) c)|))
 (12 12 (:REWRITE |(equal (/ x) (/ y))|))
 (12 12 (:REWRITE |(equal (- x) c)|))
 (12 12 (:REWRITE |(equal (- x) (- y))|))
 (12 12 (:META META-RATIONALP-CORRECT))
 (12 12 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (6 6 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6 6 (:REWRITE NORMALIZE-ADDENDS))
 )
(RP::TIMES$-COMM
 (315 20 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (300 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))
 (10 10 (:META RP::BINARY-OR**/AND**-GUARD-META-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$-REODER
 (189 12 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (180 3 (:DEFINITION BITP))
 (90 6 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (84 12 (:REWRITE ACL2-NUMBERP-X))
 (42 6 (:REWRITE RATIONALP-X))
 (40 40 (:REWRITE DEFAULT-TIMES-2))
 (40 40 (:REWRITE DEFAULT-TIMES-1))
 (18 6 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (12 12 (:REWRITE REDUCE-INTEGERP-+))
 (12 12 (:REWRITE INTEGERP-MINUS-X))
 (12 12 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (12 12 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (12 12 (:META META-INTEGERP-CORRECT))
 (9 9 (:TYPE-PRESCRIPTION BITP))
 (6 6 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (6 6 (:REWRITE REDUCE-RATIONALP-+))
 (6 6 (:REWRITE REDUCE-RATIONALP-*))
 (6 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (6 6 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (6 6 (:REWRITE RATIONALP-MINUS-X))
 (6 6 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (6 6 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (6 6 (:REWRITE |(equal c (/ x))|))
 (6 6 (:REWRITE |(equal c (- x))|))
 (6 6 (:REWRITE |(equal (/ x) c)|))
 (6 6 (:REWRITE |(equal (/ x) (/ y))|))
 (6 6 (:REWRITE |(equal (- x) c)|))
 (6 6 (:REWRITE |(equal (- x) (- y))|))
 (6 6 (:META META-RATIONALP-CORRECT))
 (6 6 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (5 5 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (2 2 (:REWRITE |(* c (* d x))|))
 )
(RP::AND$-OF-REPEATED-VARS
 (19 19 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (15 5 (:DEFINITION BITP))
 (5 5 (:TYPE-PRESCRIPTION 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$-AS))
 (2 2 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1 1 (:REWRITE ZP-OPEN))
 )
(RP::LEN-TO-CONSP-WHEN-O
 (1 1 (:REWRITE RP::LEN-TO-CONSP))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(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$-AS))
 (4 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::APPEND-RETURNS-BIT-LIST-LISTP
 (192 16 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (163 117 (:REWRITE DEFAULT-CDR))
 (144 16 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (108 90 (:REWRITE DEFAULT-CAR))
 (80 80 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (64 16 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (64 16 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (60 4 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (52 4 (:DEFINITION RP::IS-SYNP$INLINE))
 (48 48 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (48 16 (:DEFINITION RP::RP-TRANS-LST))
 (36 36 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (30 15 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (24 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (16 16 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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
 (312 26 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (248 180 (:REWRITE DEFAULT-CDR))
 (234 26 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (180 4 (:REWRITE RP::BIT-LISTP-LEMMA))
 (170 137 (:REWRITE DEFAULT-CAR))
 (130 130 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (104 26 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (104 26 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (78 78 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (78 26 (:DEFINITION RP::RP-TRANS-LST))
 (60 4 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (52 4 (:DEFINITION RP::IS-SYNP$INLINE))
 (44 44 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (36 18 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (26 26 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (24 4 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (18 18 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (18 18 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (15 5 (:REWRITE CAR-OF-APPEND))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-RP$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$-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (4 4 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::APPEND-RETURNS-BIT-LISTP
 (483 333 (:REWRITE DEFAULT-CDR))
 (341 237 (:REWRITE DEFAULT-CAR))
 (320 8 (:DEFINITION RP::RP-TRANS))
 (276 19 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (223 17 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (167 13 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (146 1 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (144 8 (:DEFINITION RP::TRANS-LIST))
 (143 11 (:DEFINITION RP::IS-SYNP$INLINE))
 (143 1 (:DEFINITION RP::PP-TERM-P))
 (136 136 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (130 65 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (120 1 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (97 97 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (90 19 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (80 8 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (72 8 (:DEFINITION RP::IS-FALIST))
 (69 69 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (65 65 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (65 65 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (60 6 (:DEFINITION RP::INCLUDE-FNC))
 (50 14 (:DEFINITION QUOTEP))
 (44 44 (:REWRITE CONSP-OF-APPEND))
 (35 13 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (30 10 (:REWRITE CAR-OF-APPEND))
 (30 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (28 28 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (22 22 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (20 8 (:REWRITE RP::EVAL-OF-BIT-OF))
 (20 8 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (20 8 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (20 8 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (20 8 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (20 8 (:REWRITE RP::EVAL-OF-BINARY-?))
 (20 8 (:REWRITE RP::EVAL-OF----))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (14 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (14 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (13 13 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (13 13 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (13 13 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (13 13 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (11 11 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (11 11 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (11 11 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (10 10 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (8 8 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (3 1 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 )
(RP::APPEND-EQUAL
 (900 6 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (882 2 (:DEFINITION TRUE-LISTP))
 (730 4 (:DEFINITION RP::RP-TERM-LISTP))
 (678 8 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (660 8 (:DEFINITION QUOTEP))
 (632 12 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (628 2 (:DEFINITION APPLY$-BADGEP))
 (394 2 (:DEFINITION SUBSETP-EQUAL))
 (368 28 (:DEFINITION MEMBER-EQUAL))
 (234 14 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (206 206 (:REWRITE DEFAULT-CDR))
 (162 8 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (140 2 (:DEFINITION RP::RP-TERMP))
 (78 78 (:REWRITE DEFAULT-CAR))
 (76 76 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (74 4 (:DEFINITION NATP))
 (72 6 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (64 64 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (62 62 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (54 6 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (54 6 (:DEFINITION RP::CC-ST-LISTP))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (42 6 (:DEFINITION BITP))
 (30 30 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (30 30 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (28 28 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (26 26 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (24 10 (:REWRITE RP::IS-IF-RP-TERMP))
 (24 2 (:REWRITE RP::LEN-TO-CONSP))
 (20 10 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (20 2 (:REWRITE ZP-OPEN))
 (18 18 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (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 4 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (10 4 (:REWRITE DEFAULT-<-2))
 (10 2 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (8 8 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION QUOTEP))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (8 8 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (8 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (8 4 (:REWRITE RP::RP-TERMP-CADDR))
 (8 4 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (8 4 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (6 6 (:TYPE-PRESCRIPTION BITP))
 (4 4 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 2 (:REWRITE APPLY$-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 RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::APPEND-EQUAL2
 (200 80 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (120 80 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (80 80 (:TYPE-PRESCRIPTION TRUE-LISTP))
 )
(RP::BITP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX
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 (2155 1678 (:REWRITE DEFAULT-CAR))
 (1511 9 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (1386 77 (:DEFINITION RP::TRANS-LIST))
 (1314 9 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (1287 9 (:DEFINITION RP::PP-TERM-P))
 (1216 7 (:REWRITE RP::BIT-LISTP-LEMMA))
 (1074 92 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1039 1039 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (910 70 (:DEFINITION RP::IS-SYNP$INLINE))
 (780 780 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (761 77 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (570 57 (:DEFINITION RP::INCLUDE-FNC))
 (359 359 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (252 252 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (230 90 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (227 29 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (225 225 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (204 204 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (198 198 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (191 77 (:REWRITE RP::EVAL-OF-BIT-OF))
 (191 77 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (191 77 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (191 77 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (191 77 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (191 77 (:REWRITE RP::EVAL-OF-BINARY-?))
 (191 77 (:REWRITE RP::EVAL-OF----))
 (162 18 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (134 77 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (134 77 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (92 92 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
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 (92 92 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (92 92 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (92 92 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (83 29 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (83 29 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (78 13 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (77 77 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (72 72 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (70 70 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (70 70 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (45 15 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (39 39 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (27 9 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (26 26 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::EVAL-OF-APPEND-OF-PP-LISTS-TO-TERM-AUX
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 (4842 4479 (:REWRITE DEFAULT-CDR))
 (4102 42 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (4004 28 (:DEFINITION RP::PP-TERM-P))
 (3789 3081 (:REWRITE DEFAULT-CAR))
 (2124 118 (:DEFINITION RP::TRANS-LIST))
 (1484 26 (:REWRITE RP::BIT-LISTP-LEMMA))
 (1411 1411 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1336 114 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1130 1130 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (1126 86 (:DEFINITION RP::IS-SYNP$INLINE))
 (981 96 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (784 784 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (745 70 (:DEFINITION RP::INCLUDE-FNC))
 (626 313 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (616 616 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (503 503 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (381 40 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (313 313 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (313 313 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (303 303 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (295 295 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (284 112 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (279 31 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (236 96 (:REWRITE RP::EVAL-OF-BIT-OF))
 (236 96 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (236 96 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (236 96 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (236 96 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (236 96 (:REWRITE RP::EVAL-OF-BINARY-?))
 (236 96 (:REWRITE RP::EVAL-OF----))
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 (166 96 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (166 96 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (153 54 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
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 (114 114 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
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 (114 114 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (114 114 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (114 114 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (104 104 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (98 42 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (96 16 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (86 86 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (86 86 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (64 30 (:REWRITE CAR-OF-APPEND))
 (52 52 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (48 48 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (32 32 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (2 2 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX
 (13030 20 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (9966 29 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (8401 31 (:DEFINITION RP::BIT-LISTP))
 (4672 32 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (4576 32 (:DEFINITION RP::PP-TERM-P))
 (3702 3417 (:REWRITE DEFAULT-CDR))
 (2828 2306 (:REWRITE DEFAULT-CAR))
 (1422 79 (:DEFINITION RP::TRANS-LIST))
 (1074 1074 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (896 896 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (879 879 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (735 3 (:REWRITE RP::BITP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX))
 (716 85 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (704 704 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (585 45 (:DEFINITION RP::IS-SYNP$INLINE))
 (559 79 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (424 424 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (400 40 (:DEFINITION RP::INCLUDE-FNC))
 (371 41 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (270 30 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (230 230 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (210 210 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (174 84 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (159 79 (:REWRITE RP::EVAL-OF-BIT-OF))
 (159 79 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (159 79 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (159 79 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (159 79 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (159 79 (:REWRITE RP::EVAL-OF-BINARY-?))
 (159 79 (:REWRITE RP::EVAL-OF----))
 (144 48 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (144 48 (:DEFINITION BITP))
 (132 132 (:TYPE-PRESCRIPTION RP::BIT-LISTP))
 (131 41 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (131 41 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (119 79 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (119 79 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (96 32 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (85 85 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (85 85 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (85 85 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (79 79 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (46 46 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (45 45 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (45 45 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (40 20 (:REWRITE RP::BIT-LISTP-LEMMA))
 (30 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (20 20 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (19 19 (:TYPE-PRESCRIPTION BITP))
 (15 15 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (10 10 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (1 1 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM
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 (521 408 (:REWRITE DEFAULT-CAR))
 (360 31 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (334 10 (:REWRITE RP::BIT-LISTP-LEMMA))
 (292 2 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (286 2 (:DEFINITION RP::PP-TERM-P))
 (267 31 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (266 24 (:DEFINITION RP::BIT-LISTP))
 (253 253 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (227 16 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (195 15 (:DEFINITION RP::IS-SYNP$INLINE))
 (171 171 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (171 57 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (151 151 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (144 8 (:DEFINITION RP::TRANS-LIST))
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 (124 31 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (124 31 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (105 105 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (104 8 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (80 8 (:DEFINITION RP::INCLUDE-FNC))
 (56 56 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (46 1 (:REWRITE RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX))
 (45 15 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (44 44 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (42 7 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (31 31 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (24 8 (:REWRITE RP::EVAL-OF-BIT-OF))
 (24 8 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (24 8 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (24 8 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (24 8 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (24 8 (:REWRITE RP::EVAL-OF-BINARY-?))
 (24 8 (:REWRITE RP::EVAL-OF----))
 (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$-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (16 16 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (16 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (16 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (15 15 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (15 15 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (8 8 (:REWRITE 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
 (48 45 (:REWRITE DEFAULT-CDR))
 (40 1 (:DEFINITION RP::RP-TRANS))
 (36 30 (:REWRITE DEFAULT-CAR))
 (30 2 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (29 1 (:DEFINITION RP::RP-EVLT-LST-LST))
 (26 2 (:DEFINITION RP::IS-SYNP$INLINE))
 (18 18 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (18 1 (:DEFINITION RP::TRANS-LIST))
 (13 13 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (13 1 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (12 1 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (12 1 (:DEFINITION RP::PP-LISTS-TO-TERM-P+))
 (12 1 (:DEFINITION RP::BIT-LIST-LISTP))
 (10 1 (:DEFINITION RP::INCLUDE-FNC))
 (9 1 (:DEFINITION RP::IS-FALIST))
 (9 1 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (7 7 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (7 2 (:DEFINITION QUOTEP))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 6 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (6 2 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 1 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (6 1 (:DEFINITION RP::BIT-LISTP))
 (4 1 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (4 1 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (4 1 (:DEFINITION STRIP-CDRS))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (3 1 (:REWRITE RP::EVAL-OF-BIT-OF))
 (3 1 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (3 1 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (3 1 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (3 1 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (3 1 (:REWRITE RP::EVAL-OF-BINARY-?))
 (3 1 (:REWRITE RP::EVAL-OF----))
 (3 1 (:DEFINITION RP::RP-TRANS-LST))
 (3 1 (:DEFINITION BITP))
 (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$-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (2 2 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (2 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (2 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (1 1 (:TYPE-PRESCRIPTION RP::BIT-LISTP))
 (1 1 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (1 1 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 )
(RP::PP-LISTS-TO-TERM-OF-APPLY-SIGN-TO-PP-LISTS
 (1503 1314 (:REWRITE DEFAULT-CDR))
 (1336 1048 (:REWRITE DEFAULT-CAR))
 (614 34 (:DEFINITION RP::TRANS-LIST))
 (572 47 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (570 14 (:REWRITE RP::BIT-LISTP-LEMMA))
 (556 556 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (509 509 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (483 37 (:DEFINITION RP::IS-SYNP$INLINE))
 (470 36 (:DEFINITION RP::BIT-LISTP))
 (444 38 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (363 32 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (330 38 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (279 278 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (279 26 (:DEFINITION RP::INCLUDE-FNC))
 (242 242 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (214 78 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (180 180 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (168 42 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (168 42 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (128 38 (:DEFINITION BITP))
 (117 43 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (84 32 (:REWRITE RP::EVAL-OF-BIT-OF))
 (84 32 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (84 32 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (84 32 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (84 32 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (84 32 (:REWRITE RP::EVAL-OF-BINARY-?))
 (84 32 (:REWRITE RP::EVAL-OF----))
 (66 11 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (58 32 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (58 32 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (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$-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (47 47 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (44 44 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (38 38 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (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$INLINE))
 (22 22 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (14 1 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (4 4 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::PP-LISTS-TO-TERM-OF-APPEND
 (1800 100 (:DEFINITION RP::TRANS-LIST))
 (1516 122 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1424 1424 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1315 1315 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (1289 99 (:DEFINITION RP::IS-SYNP$INLINE))
 (1032 96 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (790 18 (:REWRITE RP::BIT-LISTP-LEMMA))
 (780 78 (:DEFINITION RP::INCLUDE-FNC))
 (780 66 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (757 68 (:DEFINITION RP::BIT-LISTP))
 (619 619 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (582 66 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (552 72 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (486 486 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (420 420 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (315 117 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (296 74 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (296 74 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (293 111 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (252 96 (:REWRITE RP::EVAL-OF-BIT-OF))
 (252 96 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (252 96 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (252 96 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (252 96 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (252 96 (:REWRITE RP::EVAL-OF-BINARY-?))
 (252 96 (:REWRITE RP::EVAL-OF----))
 (227 71 (:DEFINITION BITP))
 (192 96 (:REWRITE CAR-OF-APPEND))
 (174 96 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (174 96 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (146 1 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (143 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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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$INLINE))
 (100 100 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (99 99 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (99 99 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (66 66 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (63 63 (:TYPE-PRESCRIPTION RP::IS-RP$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$INLINE))
 (28 28 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (22 22 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (14 1 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (3 1 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 )
(RP::APPLY-SIGN-TO-PP-LISTS-OF-SIGN=NIL
 (3192 15 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2630 5 (:DEFINITION TRUE-LISTP))
 (2373 16 (:DEFINITION RP::RP-TERM-LISTP))
 (2249 47 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (2001 47 (:DEFINITION QUOTEP))
 (1840 46 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1813 26 (:DEFINITION APPLY$-BADGEP))
 (1165 5 (:DEFINITION SUBSETP-EQUAL))
 (1100 70 (:DEFINITION MEMBER-EQUAL))
 (838 15 (:DEFINITION RP::RP-TERMP))
 (738 47 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (705 35 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (643 643 (:REWRITE DEFAULT-CDR))
 (441 441 (:REWRITE DEFAULT-CAR))
 (185 10 (:DEFINITION NATP))
 (180 15 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (172 51 (:REWRITE RP::IS-IF-RP-TERMP))
 (164 164 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (155 155 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (135 15 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (135 15 (:DEFINITION RP::CC-ST-LISTP))
 (122 122 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (109 109 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (105 105 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (105 15 (:DEFINITION BITP))
 (96 96 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (77 26 (:REWRITE RP::RP-TERMP-CADR))
 (75 75 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (75 30 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (70 70 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (67 26 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (60 5 (:REWRITE RP::LEN-TO-CONSP))
 (50 10 (:REWRITE RP::RP-TERMP-CADDDR))
 (50 5 (:REWRITE ZP-OPEN))
 (47 47 (:TYPE-PRESCRIPTION QUOTEP))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (45 15 (:REWRITE RP::RP-TERMP-CADDR))
 (45 15 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (40 15 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (30 30 (:TYPE-PRESCRIPTION LEN))
 (30 30 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (30 5 (:DEFINITION ALL-NILS))
 (26 26 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (25 25 (:TYPE-PRESCRIPTION ALL-NILS))
 (25 10 (:REWRITE DEFAULT-<-2))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (20 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (15 15 (:TYPE-PRESCRIPTION BITP))
 (10 10 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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$-AS))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::APPLY-SIGN-TO-PP-LISTS-OF-APPEND
 (68 62 (:REWRITE DEFAULT-CAR))
 (65 34 (:REWRITE DEFAULT-CDR))
 (24 8 (:REWRITE CAR-OF-APPEND))
 (8 8 (:REWRITE CONSP-OF-APPEND))
 (4 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (3 3 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::APPLY-SIGN-TO-PP-LISTS-OF-APPLY-SIGN-TO-PP-LISTS
 (79102 456 (:REWRITE RP::APPLY-SIGN-TO-PP-LISTS-OF-SIGN=NIL))
 (78857 84 (:DEFINITION RP::PP-LISTS-P))
 (75163 264 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (55413 88 (:DEFINITION TRUE-LISTP))
 (54877 786 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (46761 184 (:DEFINITION RP::RP-TERM-LISTP))
 (39858 778 (:DEFINITION QUOTEP))
 (37230 712 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (36884 360 (:DEFINITION APPLY$-BADGEP))
 (25266 88 (:DEFINITION SUBSETP-EQUAL))
 (24980 434 (:DEFINITION RP::RP-TERMP))
 (24122 1232 (:DEFINITION MEMBER-EQUAL))
 (15576 616 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (14581 14580 (:REWRITE DEFAULT-CDR))
 (13615 786 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (12583 2359 (:REWRITE RP::IS-IF-RP-TERMP))
 (8770 11 (:REWRITE RP::PP-LISTS-P-OF-APPLY-SIGN-TO-PP-LISTS))
 (8660 8658 (:REWRITE DEFAULT-CAR))
 (7532 1355 (:REWRITE RP::RP-TERMP-CADR))
 (3771 3771 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (3613 764 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (3586 176 (:DEFINITION NATP))
 (3238 3238 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (3168 264 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (3143 764 (:REWRITE RP::RP-TERMP-CADDR))
 (2728 2728 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2596 264 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (2376 264 (:DEFINITION RP::CC-ST-LISTP))
 (2068 264 (:DEFINITION BITP))
 (1850 764 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (1848 1848 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (1836 1836 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (1662 240 (:REWRITE RP::RP-TERMP-CADDDR))
 (1592 1592 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (1452 528 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (1336 1336 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (1320 1320 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (1248 1248 (:TYPE-PRESCRIPTION RP::PP-LISTS-P))
 (1232 1232 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (1078 88 (:REWRITE RP::LEN-TO-CONSP))
 (1006 360 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (902 88 (:REWRITE ZP-OPEN))
 (792 792 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (778 778 (:TYPE-PRESCRIPTION QUOTEP))
 (528 528 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (528 528 (:TYPE-PRESCRIPTION LEN))
 (528 88 (:DEFINITION ALL-NILS))
 (522 522 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (500 500 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (440 440 (:TYPE-PRESCRIPTION ALL-NILS))
 (440 176 (:REWRITE DEFAULT-<-2))
 (396 176 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (352 352 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (264 264 (:TYPE-PRESCRIPTION BITP))
 (250 250 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (250 250 (:REWRITE RP::ATOM-RP-TERMP-IS-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$-AS))
 (88 88 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (88 88 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (84 84 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(RP::BIT-LIST-LISTP-OF-APPLY-SIGN-TO-PP-LISTS
 (252 21 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (189 158 (:REWRITE DEFAULT-CDR))
 (189 21 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (180 4 (:REWRITE RP::BIT-LISTP-LEMMA))
 (140 109 (:REWRITE DEFAULT-CAR))
 (105 105 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (84 21 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (84 21 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (75 5 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (65 5 (:DEFINITION RP::IS-SYNP$INLINE))
 (63 63 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (63 21 (:DEFINITION RP::RP-TRANS-LST))
 (35 35 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (30 5 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (21 21 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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
 (69551 77 (:REWRITE RP::APPLY-SIGN-TO-PP-LISTS-OF-SIGN=NIL))
 (69346 66 (:DEFINITION RP::PP-LISTS-P))
 (66643 198 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (48147 705 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (41726 66 (:DEFINITION TRUE-LISTP))
 (34379 132 (:DEFINITION RP::RP-TERM-LISTP))
 (29588 443 (:DEFINITION RP::RP-TERMP))
 (25710 500 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (25512 264 (:DEFINITION APPLY$-BADGEP))
 (17196 66 (:DEFINITION SUBSETP-EQUAL))
 (16338 924 (:DEFINITION MEMBER-EQUAL))
 (16220 2825 (:REWRITE RP::IS-IF-RP-TERMP))
 (14356 14144 (:REWRITE DEFAULT-CDR))
 (12059 705 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (10518 462 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (8824 8458 (:REWRITE DEFAULT-CAR))
 (8485 1454 (:REWRITE RP::RP-TERMP-CADR))
 (5947 1091 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (5273 1091 (:REWRITE RP::RP-TERMP-CADDR))
 (4021 4021 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (3453 3453 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (2526 132 (:DEFINITION NATP))
 (2520 1091 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (2376 198 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (2046 2046 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2006 280 (:REWRITE RP::RP-TERMP-CADDDR))
 (1782 198 (:DEFINITION RP::CC-ST-LISTP))
 (1774 1774 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (1698 200 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (1608 1608 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (1441 225 (:DEFINITION BITP))
 (1386 1386 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (1202 1202 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (990 990 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (936 52 (:DEFINITION RP::TRANS-LIST))
 (934 368 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (924 924 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (726 264 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (708 66 (:REWRITE RP::LEN-TO-CONSP))
 (705 705 (:TYPE-PRESCRIPTION QUOTEP))
 (702 702 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (629 58 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (618 618 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (594 594 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (584 4 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (576 66 (:REWRITE ZP-OPEN))
 (575 11 (:REWRITE RP::BIT-LISTP-LEMMA))
 (572 4 (:DEFINITION RP::PP-TERM-P))
 (567 567 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (522 40 (:DEFINITION RP::IS-SYNP$INLINE))
 (434 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (402 33 (:DEFINITION RP::BIT-LISTP))
 (396 396 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (396 396 (:TYPE-PRESCRIPTION LEN))
 (396 66 (:DEFINITION ALL-NILS))
 (382 36 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (372 31 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (361 355 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (355 355 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (330 330 (:TYPE-PRESCRIPTION ALL-NILS))
 (323 323 (:TYPE-PRESCRIPTION RP::PP-LISTS-P))
 (312 312 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (290 28 (:DEFINITION RP::INCLUDE-FNC))
 (288 132 (:REWRITE DEFAULT-<-2))
 (279 31 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (264 264 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (264 132 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (260 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (211 211 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (202 94 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (188 94 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (178 4 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (177 177 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (158 66 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (156 39 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (156 39 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (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))
 (100 4 (:DEFINITION RP::RP-EQUAL))
 (94 94 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (92 36 (:REWRITE RP::EVAL-OF-BIT-OF))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-?))
 (92 36 (:REWRITE RP::EVAL-OF----))
 (88 88 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (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$-AS))
 (64 36 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (64 36 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (60 2 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (60 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (58 58 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (58 58 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (58 58 (:REWRITE RP::RP-EVL-OF-FORCE$-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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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$INLINE))
 (31 31 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$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))
 (8 4 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (8 4 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 )
(RP::BIT-LIST-P-WITH-CONSTANTS-1
 (6 2 (:DEFINITION BITP))
 (4 4 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(RP::BIT-LIST-P-DEF
 (10 10 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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
 (34 34 (:REWRITE DEFAULT-CAR))
 (31 31 (:REWRITE DEFAULT-CDR))
 )
(RP::ATOM-MERGE-SORTED-AND$-LISTS
 (690 345 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (345 345 (: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))
 (32 32 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (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$-LIST
 (19782 321 (:DEFINITION RP::RP-TERMP))
 (18698 89 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (18571 119 (:DEFINITION RP::RP-TERM-LISTP))
 (18479 17258 (:REWRITE DEFAULT-CDR))
 (16179 89 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (15962 124 (:DEFINITION RP::CC-ST-LISTP))
 (14952 35 (:DEFINITION RP::CC-ST-P))
 (14593 12220 (:REWRITE DEFAULT-CAR))
 (12749 429 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (9131 141 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (9047 43 (:DEFINITION APPLY$-BADGEP))
 (8866 62 (:DEFINITION RP::PP-TERM-P))
 (7929 77 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (6912 384 (:DEFINITION RP::TRANS-LIST))
 (6710 6710 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (5982 30 (:DEFINITION SUBSETP-EQUAL))
 (5950 1353 (:REWRITE RP::IS-IF-RP-TERMP))
 (5592 420 (:DEFINITION MEMBER-EQUAL))
 (5309 456 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (4853 605 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (4470 343 (:DEFINITION RP::IS-SYNP$INLINE))
 (4020 384 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (3558 210 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (3542 429 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (3031 740 (:REWRITE RP::RP-TERMP-CADR))
 (3030 303 (:DEFINITION RP::INCLUDE-FNC))
 (3017 605 (:REWRITE RP::RP-TERMP-CADDR))
 (2796 2796 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (1873 537 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1752 1752 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (1749 605 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (1736 1736 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (1364 1364 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (1341 153 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (1280 30 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (1233 1233 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (1146 1146 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (1110 424 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (990 384 (:REWRITE RP::EVAL-OF-BIT-OF))
 (990 384 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (990 384 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (990 384 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (990 384 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (990 384 (:REWRITE RP::EVAL-OF-BINARY-?))
 (990 384 (:REWRITE RP::EVAL-OF----))
 (972 108 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (935 935 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (930 930 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (926 926 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (800 60 (:DEFINITION NATP))
 (687 384 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (687 384 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (630 630 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (608 608 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (537 537 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (522 44 (:REWRITE <<-IMPLIES-LEXORDER))
 (477 153 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (457 457 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (456 456 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (456 456 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (456 456 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (429 429 (:TYPE-PRESCRIPTION QUOTEP))
 (420 420 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (394 394 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (381 381 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (346 87 (:REWRITE <<-TRICHOTOMY))
 (303 303 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (265 141 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (260 260 (:TYPE-PRESCRIPTION <<))
 (240 40 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (232 232 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (210 90 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (196 30 (:REWRITE RP::LEN-TO-CONSP))
 (180 180 (:TYPE-PRESCRIPTION LEN))
 (180 90 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (180 43 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (180 30 (:DEFINITION ALL-NILS))
 (150 150 (:TYPE-PRESCRIPTION ALL-NILS))
 (136 30 (:REWRITE ZP-OPEN))
 (120 120 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (120 60 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (90 90 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (88 42 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (87 87 (:REWRITE <<-TRANSITIVE))
 (86 43 (:REWRITE <<-ASYMMETRIC))
 (80 80 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (70 70 (:TYPE-PRESCRIPTION RP::CC-ST-LIST-LISTP))
 (68 68 (:LINEAR LEN-WHEN-PREFIXP))
 (64 64 (:REWRITE DEFAULT-<-2))
 (64 64 (:REWRITE DEFAULT-<-1))
 (35 35 (:TYPE-PRESCRIPTION BOOLEANP))
 (32 32 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (32 8 (:REWRITE RP::RP-TERMP-CADDDR))
 (30 30 (:TYPE-PRESCRIPTION ZP))
 (30 30 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(RP::BIT-LISTP-OF-MERGE-SORTED-AND$-LISTS
 (2641 2176 (:REWRITE DEFAULT-CDR))
 (2500 60 (:DEFINITION RP::RP-TRANS))
 (1976 1331 (:REWRITE DEFAULT-CAR))
 (1911 26 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (1859 13 (:DEFINITION RP::PP-TERM-P))
 (1080 60 (:DEFINITION RP::TRANS-LIST))
 (1058 529 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (690 60 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (676 69 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (626 64 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (550 40 (:DEFINITION RP::INCLUDE-FNC))
 (540 60 (:DEFINITION RP::IS-FALIST))
 (529 529 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (520 40 (:DEFINITION RP::IS-SYNP$INLINE))
 (513 47 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (481 481 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (390 100 (:DEFINITION QUOTEP))
 (364 364 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (315 315 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (286 286 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (270 69 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (261 261 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (140 60 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (100 60 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (100 60 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (64 64 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (64 64 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (64 64 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (60 60 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (60 60 (:REWRITE RP::EVAL-OF-BIT-OF))
 (60 60 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (60 60 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (60 60 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (60 60 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (60 60 (:REWRITE RP::EVAL-OF-BINARY-?))
 (60 60 (:REWRITE RP::EVAL-OF----))
 (54 5 (:REWRITE <<-IMPLIES-LEXORDER))
 (52 26 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (42 42 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (40 40 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (40 40 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (34 9 (:REWRITE <<-TRICHOTOMY))
 (26 26 (:TYPE-PRESCRIPTION <<))
 (9 9 (:REWRITE <<-TRANSITIVE))
 (8 4 (:REWRITE <<-ASYMMETRIC))
 (4 4 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(RP::BITP-BITLISTP-LEMMA
 (40 1 (:DEFINITION RP::RP-TRANS))
 (30 27 (:REWRITE DEFAULT-CDR))
 (20 14 (:REWRITE DEFAULT-CAR))
 (18 1 (:DEFINITION RP::TRANS-LIST))
 (15 1 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (13 13 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (13 1 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (13 1 (:DEFINITION RP::IS-SYNP$INLINE))
 (12 1 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (10 1 (:DEFINITION RP::INCLUDE-FNC))
 (9 1 (:DEFINITION RP::IS-FALIST))
 (9 1 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (8 8 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (7 7 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (7 2 (:DEFINITION QUOTEP))
 (6 6 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (6 6 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (6 2 (:DEFINITION RP::RP-TRANS-LST))
 (4 1 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (4 1 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (3 1 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (2 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (2 1 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (1 1 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (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$-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (1 1 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (1 1 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (1 1 (:REWRITE RP::EVAL-OF-BIT-OF))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (1 1 (:REWRITE RP::EVAL-OF-BINARY-?))
 (1 1 (:REWRITE RP::EVAL-OF----))
 (1 1 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::CONSP-BIT-LISTP-LEMMA
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(RP::BIT-LISTP-OF-CUT-LIST-BY-HALF
 (1886 26 (:REWRITE RP::BITP-BITLISTP-LEMMA))
 (1162 962 (:REWRITE DEFAULT-CDR))
 (1040 26 (:DEFINITION RP::RP-TRANS))
 (936 26 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (896 26 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (880 602 (:REWRITE DEFAULT-CAR))
 (858 6 (:DEFINITION RP::PP-TERM-P))
 (468 26 (:DEFINITION RP::TRANS-LIST))
 (312 37 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (234 26 (:DEFINITION RP::IS-FALIST))
 (225 25 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (222 26 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (194 26 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (190 190 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (182 14 (:DEFINITION RP::IS-SYNP$INLINE))
 (168 168 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (153 153 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (146 40 (:DEFINITION QUOTEP))
 (140 14 (:DEFINITION RP::INCLUDE-FNC))
 (132 132 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (117 117 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (112 37 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (54 26 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (40 26 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (40 26 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (38 26 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (28 16 (:REWRITE DEFAULT-<-2))
 (26 26 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (26 26 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (26 26 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (26 26 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (26 26 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (26 26 (:REWRITE RP::EVAL-OF-BIT-OF))
 (26 26 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (26 26 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (26 26 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (26 26 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (26 26 (:REWRITE RP::EVAL-OF-BINARY-?))
 (26 26 (:REWRITE RP::EVAL-OF----))
 (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))
 (14 14 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (14 14 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (14 14 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (12 12 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (12 4 (:REWRITE FOLD-CONSTS-IN-+))
 (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
 (600 50 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (450 50 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (297 11 (:REWRITE RP::BIT-LISTP-LEMMA))
 (269 259 (:REWRITE DEFAULT-CDR))
 (250 250 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (218 208 (:REWRITE DEFAULT-CAR))
 (200 200 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (200 50 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (200 50 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (150 150 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (150 50 (:DEFINITION RP::RP-TRANS-LST))
 (100 100 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (50 50 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (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$-AS))
 (12 4 (:REWRITE FOLD-CONSTS-IN-+))
 (2 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (1 1 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::LEMMA1
 (7 7 (:REWRITE ZP-OPEN))
 (6 6 (:REWRITE DEFAULT-CAR))
 (5 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 3 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::EVAL-OF-CUT-LIST-BY-HALF
 (9185 136 (:DEFINITION RP::RP-TERMP))
 (8125 110 (:REWRITE RP::BITP-BITLISTP-LEMMA))
 (8020 31 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (7981 41 (:DEFINITION RP::RP-TERM-LISTP))
 (7775 7120 (:REWRITE DEFAULT-CDR))
 (7402 31 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (7324 47 (:DEFINITION RP::CC-ST-LISTP))
 (6906 16 (:DEFINITION RP::CC-ST-P))
 (6060 4904 (:REWRITE DEFAULT-CAR))
 (5504 185 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (4279 102 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (3919 14 (:DEFINITION APPLY$-BADGEP))
 (3873 103 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (3718 26 (:DEFINITION RP::PP-TERM-P))
 (3343 28 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (3006 167 (:DEFINITION RP::TRANS-LIST))
 (2740 615 (:REWRITE RP::IS-IF-RP-TERMP))
 (2597 13 (:DEFINITION SUBSETP-EQUAL))
 (2438 2438 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (2428 182 (:DEFINITION MEMBER-EQUAL))
 (2278 276 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (1805 193 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1620 185 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1545 91 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (1487 114 (:DEFINITION RP::IS-SYNP$INLINE))
 (1398 276 (:REWRITE RP::RP-TERMP-CADDR))
 (1388 335 (:REWRITE RP::RP-TERMP-CADR))
 (1327 1327 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (1307 167 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (950 95 (:DEFINITION RP::INCLUDE-FNC))
 (851 851 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (833 209 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (801 276 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (728 728 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (648 43 (:DEFINITION RP::BIT-LISTP))
 (636 13 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (572 572 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (431 431 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (414 186 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (403 403 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (387 129 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (375 375 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (366 366 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (357 167 (:REWRITE RP::EVAL-OF-BIT-OF))
 (357 167 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (357 167 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (357 167 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (357 167 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (357 167 (:REWRITE RP::EVAL-OF-BINARY-?))
 (357 167 (:REWRITE RP::EVAL-OF----))
 (355 26 (:DEFINITION NATP))
 (349 52 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (325 325 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (293 84 (:REWRITE ZP-OPEN))
 (273 273 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (272 272 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (262 167 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (262 167 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (243 27 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (209 209 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (193 193 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (193 193 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (193 193 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (187 187 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (185 185 (:TYPE-PRESCRIPTION QUOTEP))
 (182 182 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (169 169 (:REWRITE DEFAULT-+-2))
 (169 169 (:REWRITE DEFAULT-+-1))
 (165 165 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (162 54 (:REWRITE FOLD-CONSTS-IN-+))
 (155 103 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (133 110 (:REWRITE DEFAULT-<-2))
 (133 52 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (130 130 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (125 125 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (122 110 (:REWRITE DEFAULT-<-1))
 (114 19 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (112 112 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (91 39 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (86 13 (:REWRITE RP::LEN-TO-CONSP))
 (78 39 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (78 13 (:DEFINITION ALL-NILS))
 (76 76 (:LINEAR LEN-WHEN-PREFIXP))
 (73 14 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (65 65 (:TYPE-PRESCRIPTION ALL-NILS))
 (52 52 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (52 26 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (47 19 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (39 39 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (38 38 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (35 35 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (32 32 (:TYPE-PRESCRIPTION RP::CC-ST-LIST-LISTP))
 (16 16 (:TYPE-PRESCRIPTION BOOLEANP))
 (16 4 (:REWRITE RP::RP-TERMP-CADDDR))
 (8 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (4 4 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::PP-LISTS-TO-TERM-P+-WHEN-NOT-CONSP)
(RP::EVAL-OF-CUT-LIST-BY-HALF-WITH-PP-SUM
 (6104 59 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (5900 4747 (:REWRITE DEFAULT-CAR))
 (5799 5102 (:REWRITE DEFAULT-CDR))
 (3240 95 (:DEFINITION RP::RP-TERM-LISTP))
 (3174 274 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (3155 57 (:REWRITE RP::BIT-LISTP-LEMMA))
 (2980 152 (:DEFINITION RP::RP-TERMP))
 (2736 152 (:DEFINITION RP::TRANS-LIST))
 (2311 231 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (2298 144 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (2023 2023 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (1951 1951 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1913 274 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1890 145 (:DEFINITION RP::IS-SYNP$INLINE))
 (1445 149 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (1080 108 (:DEFINITION RP::INCLUDE-FNC))
 (1012 110 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (981 89 (:DEFINITION RP::BIT-LISTP))
 (967 967 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (738 82 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (708 59 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (651 171 (:REWRITE RP::IS-IF-RP-TERMP))
 (644 167 (:REWRITE RP::RP-TERMP-CADR))
 (626 626 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (609 213 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (607 607 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (602 214 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (570 570 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (531 59 (:DEFINITION RP::CC-ST-LISTP))
 (506 506 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (499 151 (:REWRITE ZP-OPEN))
 (475 95 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (439 4 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (429 3 (:DEFINITION RP::PP-TERM-P))
 (380 116 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (367 367 (:REWRITE DEFAULT-+-2))
 (367 367 (:REWRITE DEFAULT-+-1))
 (365 149 (:REWRITE RP::EVAL-OF-BIT-OF))
 (365 149 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (365 149 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (365 149 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (365 149 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (365 149 (:REWRITE RP::EVAL-OF-BINARY-?))
 (365 149 (:REWRITE RP::EVAL-OF----))
 (348 116 (:REWRITE FOLD-CONSTS-IN-+))
 (308 28 (:REWRITE RP::BIT-LIST-P-DEF))
 (295 295 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (285 95 (:DEFINITION APPLY$-BADGEP))
 (257 149 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (257 149 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (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$-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (231 231 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (222 37 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (221 172 (:REWRITE DEFAULT-<-2))
 (195 195 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (190 172 (:REWRITE DEFAULT-<-1))
 (190 95 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (177 177 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (147 147 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (147 147 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (119 119 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (110 110 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (98 98 (:LINEAR LEN-WHEN-PREFIXP))
 (95 95 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (84 84 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (84 14 (:DEFINITION ASSOC-EQUAL))
 (74 74 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (66 66 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (48 48 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (46 1 (:REWRITE RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX))
 (19 1 (:DEFINITION INTEGER-LISTP))
 (17 17 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (12 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 4 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (10 4 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (8 4 (:REWRITE RP::RP-TERMP-CADDR))
 (8 4 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (6 6 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (6 6 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (5 5 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (4 4 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 )
(RP::POS-LEN-IMPLIES-FC
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 )
(RP::BIT-LISTP-OF-SORT-AND$-LIST
 (5197 49 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (2514 49 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (2502 2045 (:REWRITE DEFAULT-CDR))
 (2431 17 (:DEFINITION RP::PP-TERM-P))
 (1837 1251 (:REWRITE DEFAULT-CAR))
 (1768 43 (:DEFINITION RP::RP-TRANS))
 (972 12 (:REWRITE RP::BIT-LISTP-LEMMA))
 (774 43 (:DEFINITION RP::TRANS-LIST))
 (740 48 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (604 44 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (476 476 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (435 43 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (428 46 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (397 397 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (387 43 (:DEFINITION RP::IS-FALIST))
 (374 374 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (346 26 (:DEFINITION RP::IS-SYNP$INLINE))
 (340 26 (:DEFINITION RP::INCLUDE-FNC))
 (316 90 (:REWRITE RP::ATOM-MERGE-SORTED-AND$-LISTS))
 (272 272 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (266 69 (:DEFINITION QUOTEP))
 (260 130 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (260 48 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (210 210 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (130 130 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (95 43 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (93 93 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (83 49 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (78 7 (:REWRITE <<-IMPLIES-LEXORDER))
 (69 43 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (69 43 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (50 13 (:REWRITE <<-TRICHOTOMY))
 (46 46 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (46 46 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (46 46 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (44 44 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (43 43 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (43 43 (:REWRITE RP::EVAL-OF-BIT-OF))
 (43 43 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (43 43 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (43 43 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (43 43 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (43 43 (:REWRITE RP::EVAL-OF-BINARY-?))
 (43 43 (:REWRITE RP::EVAL-OF----))
 (40 26 (:REWRITE DEFAULT-<-2))
 (38 38 (:TYPE-PRESCRIPTION <<))
 (32 26 (:REWRITE DEFAULT-<-1))
 (30 30 (:LINEAR LEN-WHEN-PREFIXP))
 (26 26 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (26 26 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (24 6 (:REWRITE RP::FLOOR-OF-TWO-IS-LESS))
 (18 9 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 9 (:REWRITE DEFAULT-+-2))
 (16 2 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (13 13 (:REWRITE <<-TRANSITIVE))
 (12 6 (:REWRITE <<-ASYMMETRIC))
 (12 2 (:DEFINITION APPLY$-BADGEP))
 (10 2 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (9 9 (:REWRITE DEFAULT-+-1))
 (3 3 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (2 2 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(RP::EVAL-OF-LIST-TO-TERM-OF-SORT-AND$-LIST
 (5465 5465 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (2843 314 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (1967 281 (:DEFINITION RP::INCLUDE-FNC))
 (1671 60 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1610 322 (:DEFINITION RP::TRANS-LIST))
 (1536 114 (:DEFINITION RP::CC-ST-LISTP))
 (1497 400 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1101 389 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (1095 31 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (1074 1074 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (1026 19 (:DEFINITION RP::PP-TERM-P))
 (947 947 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (912 48 (:DEFINITION RP::CC-ST-P))
 (884 52 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (771 78 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (722 356 (:DEFINITION RP::IS-SYNP$INLINE))
 (676 52 (:DEFINITION RP::RP-EQUAL))
 (595 314 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (595 314 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (595 314 (:REWRITE RP::EVAL-OF-BIT-OF))
 (595 314 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (595 314 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (595 314 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (595 314 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (595 314 (:REWRITE RP::EVAL-OF-BINARY-?))
 (595 314 (:REWRITE RP::EVAL-OF----))
 (564 49 (:REWRITE <<-IMPLIES-LEXORDER))
 (539 77 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (532 532 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (494 26 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (494 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (450 75 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (426 426 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (418 418 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (400 400 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (400 400 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (400 400 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (385 385 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (368 94 (:REWRITE <<-TRICHOTOMY))
 (365 365 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (364 364 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (356 356 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (356 356 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (321 321 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (309 78 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (284 284 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (278 278 (:TYPE-PRESCRIPTION <<))
 (255 29 (:REWRITE RP::BIT-LISTP-LEMMA))
 (156 156 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (156 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (150 150 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (150 80 (:REWRITE DEFAULT-<-2))
 (144 144 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (144 48 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (104 104 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (104 52 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (104 52 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (104 52 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 (104 26 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (96 96 (:TYPE-PRESCRIPTION RP::CC-ST-LIST-LISTP))
 (94 94 (:REWRITE <<-TRANSITIVE))
 (90 45 (:REWRITE <<-ASYMMETRIC))
 (85 80 (:REWRITE DEFAULT-<-1))
 (78 78 (:LINEAR LEN-WHEN-PREFIXP))
 (69 31 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (64 32 (:REWRITE DEFAULT-UNARY-MINUS))
 (64 32 (:REWRITE DEFAULT-+-2))
 (48 48 (:TYPE-PRESCRIPTION BOOLEANP))
 (32 32 (:REWRITE DEFAULT-+-1))
 (20 5 (:REWRITE RP::FLOOR-OF-TWO-IS-LESS))
 (11 11 (: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))
 (24 6 (:REWRITE COMMUTATIVITY-OF-+))
 (24 6 (:DEFINITION INTEGER-ABS))
 (15 3 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (12 3 (:DEFINITION LENGTH))
 (11 11 (:REWRITE DEFAULT-CAR))
 (9 7 (:REWRITE DEFAULT-<-2))
 (9 3 (:DEFINITION BITP))
 (8 8 (:REWRITE FOLD-CONSTS-IN-+))
 (8 8 (:REWRITE DEFAULT-CDR))
 (8 8 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (8 7 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 3 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (3 3 (:TYPE-PRESCRIPTION BITP))
 (3 3 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE INTEGERP==>NUMERATOR-=-X))
 (3 3 (:REWRITE INTEGERP==>DENOMINATOR-=-1))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3 3 (:REWRITE DEFAULT-REALPART))
 (3 3 (:REWRITE DEFAULT-NUMERATOR))
 (3 3 (:REWRITE DEFAULT-IMAGPART))
 (3 3 (:REWRITE DEFAULT-DENOMINATOR))
 )
(RP::WHEN-SORT-AND$-LIST-IS-EQUAL-WITH-OPPOSITE-SIGNS
 (672 7 (:DEFINITION RP::RP-TERMP))
 (484 12 (:DEFINITION RP::RP-TRANS))
 (450 405 (:REWRITE DEFAULT-CDR))
 (445 3 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (436 1 (:DEFINITION TRUE-LISTP))
 (400 27 (:DEFINITION QUOTEP))
 (386 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (364 10 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (360 2 (:DEFINITION RP::RP-TERM-LISTP))
 (340 259 (:REWRITE DEFAULT-CAR))
 (311 4 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (309 1 (:DEFINITION APPLY$-BADGEP))
 (236 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (216 12 (:DEFINITION RP::TRANS-LIST))
 (197 1 (:DEFINITION SUBSETP-EQUAL))
 (186 186 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (184 14 (:DEFINITION MEMBER-EQUAL))
 (164 164 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (154 4 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (123 11 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (117 7 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (116 4 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (108 12 (:DEFINITION RP::IS-FALIST))
 (104 8 (:DEFINITION RP::IS-SYNP$INLINE))
 (100 4 (:DEFINITION RP::RP-EQUAL))
 (93 10 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (68 8 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (62 2 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (62 2 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (60 29 (:REWRITE RP::IS-IF-RP-TERMP))
 (50 5 (:DEFINITION RP::INCLUDE-FNC))
 (45 45 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (38 2 (:DEFINITION NATP))
 (37 37 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (36 3 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (36 3 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (35 14 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (32 15 (:REWRITE RP::RP-TERMP-CADR))
 (31 31 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (30 30 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (28 14 (:REWRITE RP::RP-TERMP-CADDR))
 (28 14 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (27 21 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (27 11 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (27 3 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (27 3 (:DEFINITION RP::CC-ST-LISTP))
 (25 25 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (25 25 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (24 24 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (21 21 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (21 21 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (19 3 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (18 8 (:REWRITE RP::EVAL-OF-BIT-OF))
 (18 8 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (18 8 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (18 8 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (18 8 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (18 8 (:REWRITE RP::EVAL-OF-BINARY-?))
 (18 8 (:REWRITE RP::EVAL-OF----))
 (18 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (15 15 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (14 14 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (14 14 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (13 13 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (13 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (13 8 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (12 12 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (12 3 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (12 3 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (11 11 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (11 11 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (11 11 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FORCE$-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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (9 9 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (9 3 (:DEFINITION RP::RP-TRANS-LST))
 (8 8 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (8 8 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (8 4 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (8 4 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 (6 6 (:TYPE-PRESCRIPTION LEN))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (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))
 (5 1 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 2 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (4 1 (:REWRITE ZP-OPEN))
 (3 3 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (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))
 )
(RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES
 (12021 54 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (9855 18 (:DEFINITION TRUE-LISTP))
 (8651 50 (:DEFINITION RP::RP-TERM-LISTP))
 (8404 154 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (6748 138 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (6666 86 (:DEFINITION APPLY$-BADGEP))
 (4502 4299 (:REWRITE DEFAULT-CDR))
 (4356 18 (:DEFINITION SUBSETP-EQUAL))
 (4122 252 (:DEFINITION MEMBER-EQUAL))
 (3298 2984 (:REWRITE DEFAULT-CAR))
 (3146 72 (:DEFINITION RP::RP-TERMP))
 (2646 126 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (2622 154 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1358 19 (:REWRITE RP::BIT-LISTP-LEMMA))
 (1142 1142 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1019 291 (:REWRITE RP::IS-IF-RP-TERMP))
 (924 6 (:REWRITE RP::TYPE-FIX-WHEN-BITP))
 (876 6 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (858 6 (:DEFINITION RP::PP-TERM-P))
 (726 36 (:DEFINITION NATP))
 (666 37 (:DEFINITION RP::TRANS-LIST))
 (648 54 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (597 193 (:REWRITE RP::RP-TERMP-CADR))
 (580 52 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (558 558 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (547 547 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (522 69 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (516 52 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (486 54 (:DEFINITION RP::CC-ST-LISTP))
 (432 48 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (418 32 (:DEFINITION RP::IS-SYNP$INLINE))
 (406 54 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (378 378 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (362 362 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (348 348 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (280 280 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (270 270 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (264 24 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (252 252 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (248 65 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (234 36 (:REWRITE RP::RP-TERMP-CADDDR))
 (230 88 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (226 86 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (217 62 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (205 62 (:REWRITE RP::RP-TERMP-CADDR))
 (204 204 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (200 20 (:DEFINITION RP::INCLUDE-FNC))
 (168 168 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (164 62 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (162 162 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (160 160 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (156 18 (:REWRITE RP::LEN-TO-CONSP))
 (150 150 (:TYPE-PRESCRIPTION QUOTEP))
 (132 132 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (127 127 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (120 18 (:REWRITE ZP-OPEN))
 (118 40 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (108 108 (:TYPE-PRESCRIPTION LEN))
 (108 18 (:DEFINITION ALL-NILS))
 (90 90 (:TYPE-PRESCRIPTION ALL-NILS))
 (86 38 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (76 38 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (72 72 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (72 36 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (72 12 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (64 24 (:REWRITE RP::EVAL-OF-BIT-OF))
 (64 24 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (64 24 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (64 24 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (64 24 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (64 24 (:REWRITE RP::EVAL-OF-BINARY-?))
 (64 24 (:REWRITE RP::EVAL-OF----))
 (60 36 (:REWRITE DEFAULT-<-2))
 (54 54 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (54 54 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (52 52 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (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$-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (52 52 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (52 4 (:REWRITE RP::BIT-LIST-P-DEF))
 (50 50 (:TYPE-PRESCRIPTION BITP))
 (48 48 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (44 44 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (44 24 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (44 24 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (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$INLINE))
 (18 18 (:TYPE-PRESCRIPTION ZP))
 (18 18 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (18 6 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (16 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (12 12 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (12 2 (:DEFINITION ASSOC-EQUAL))
 (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
 (6937 30 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (5491 10 (:DEFINITION TRUE-LISTP))
 (4879 30 (:DEFINITION RP::RP-TERM-LISTP))
 (4874 94 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (4144 111 (:DEFINITION QUOTEP))
 (3760 70 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (3710 50 (:DEFINITION APPLY$-BADGEP))
 (2420 10 (:DEFINITION SUBSETP-EQUAL))
 (2290 140 (:DEFINITION MEMBER-EQUAL))
 (2168 2053 (:REWRITE DEFAULT-CDR))
 (1994 40 (:DEFINITION RP::RP-TERMP))
 (1554 1394 (:REWRITE DEFAULT-CAR))
 (1542 94 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (1470 70 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (988 13 (:REWRITE RP::BIT-LISTP-LEMMA))
 (944 944 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (783 66 (:DEFINITION RP::RP-TRANS-LST))
 (655 171 (:REWRITE RP::IS-IF-RP-TERMP))
 (600 15 (:DEFINITION RP::RP-TRANS))
 (509 509 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (480 40 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (430 20 (:DEFINITION NATP))
 (409 113 (:REWRITE RP::RP-TERMP-CADR))
 (360 40 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (360 30 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (319 319 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (310 310 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (270 30 (:DEFINITION RP::CC-ST-LISTP))
 (270 15 (:DEFINITION RP::TRANS-LIST))
 (218 218 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (212 53 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (212 53 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (210 210 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (204 204 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (200 200 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (190 30 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (154 12 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (150 150 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (140 140 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (135 15 (:DEFINITION RP::IS-FALIST))
 (133 38 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (130 50 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (130 20 (:REWRITE RP::RP-TERMP-CADDDR))
 (130 10 (:DEFINITION RP::IS-SYNP$INLINE))
 (126 126 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (121 38 (:REWRITE RP::RP-TERMP-CADDR))
 (110 40 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (100 100 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (100 38 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (94 94 (:TYPE-PRESCRIPTION QUOTEP))
 (90 90 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (70 30 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (69 69 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (60 60 (:TYPE-PRESCRIPTION LEN))
 (60 30 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (60 10 (:REWRITE RP::LEN-TO-CONSP))
 (60 10 (:DEFINITION ALL-NILS))
 (50 50 (:TYPE-PRESCRIPTION ALL-NILS))
 (48 8 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (40 40 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (40 40 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (40 20 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (40 10 (:REWRITE ZP-OPEN))
 (30 30 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (30 10 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (28 28 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (26 2 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (24 24 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (24 24 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (24 2 (:DEFINITION RP::PP-LISTS-TO-TERM-P+))
 (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))
 (20 2 (:DEFINITION RP::INCLUDE-FNC))
 (16 16 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (14 8 (:DEFINITION ACONS))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-SYNP$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$-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (12 12 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (10 10 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (6 6 (:REWRITE CONS-CAR-CDR))
 (6 2 (:REWRITE RP::EVAL-OF-BIT-OF))
 (6 2 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (6 2 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (6 2 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (6 2 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (6 2 (:REWRITE RP::EVAL-OF-BINARY-?))
 (6 2 (:REWRITE RP::EVAL-OF----))
 (4 4 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (4 2 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (4 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
 (168 168 (:REWRITE DEFAULT-CAR))
 (76 76 (:REWRITE DEFAULT-CDR))
 (29 29 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (16 16 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 )
(RP::PP-SUM-EQUALS-2
 (17 5 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (9 3 (:DEFINITION BITP))
 (8 8 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (6 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE DEFAULT-+-1))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:TYPE-PRESCRIPTION BITP))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 )
(RP::EVAL-OF-LIST-TO-TERM-OF-MERGE-SORTED-PP-LISTS
 (39187 456 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (21006 674 (:DEFINITION RP::RP-TERM-LISTP))
 (20334 1785 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (19264 1070 (:DEFINITION RP::TRANS-LIST))
 (19034 802 (:DEFINITION RP::RP-TERMP))
 (15006 1242 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (14865 14865 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (12696 975 (:DEFINITION RP::IS-SYNP$INLINE))
 (12408 1785 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (12291 12291 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (11064 1027 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (8396 147 (:REWRITE RP::BIT-LISTP-LEMMA))
 (8373 832 (:DEFINITION RP::INCLUDE-FNC))
 (7106 734 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (6804 633 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (5472 456 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (5419 5417 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (5049 561 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (4469 4469 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (4276 4276 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (4179 4179 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (4104 456 (:DEFINITION RP::CC-ST-LISTP))
 (3811 917 (:REWRITE RP::IS-IF-RP-TERMP))
 (3734 873 (:REWRITE RP::RP-TERMP-CADR))
 (3426 1238 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (2959 2959 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (2745 549 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (2691 1027 (:REWRITE RP::EVAL-OF-BIT-OF))
 (2691 1027 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (2691 1027 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (2691 1027 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (2691 1027 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (2691 1027 (:REWRITE RP::EVAL-OF-BINARY-?))
 (2691 1027 (:REWRITE RP::EVAL-OF----))
 (2448 666 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (2280 2280 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (1859 1027 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (1859 1027 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (1766 1766 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (1756 16 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (1716 12 (:DEFINITION RP::PP-TERM-P))
 (1659 1659 (:TYPE-PRESCRIPTION QUOTEP))
 (1647 549 (:DEFINITION APPLY$-BADGEP))
 (1368 1368 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (1242 1242 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (1098 549 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (1096 8 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (1089 1089 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (997 997 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (997 997 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (858 143 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (549 549 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (546 546 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (517 517 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (336 336 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (286 286 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (264 264 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (230 5 (:REWRITE RP::INTEGERP-OF-EVAL-OF-PP-LISTS-TO-TERM-AUX))
 (204 34 (:DEFINITION ASSOC-EQUAL))
 (110 44 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (95 5 (:DEFINITION INTEGER-LISTP))
 (88 44 (:REWRITE RP::RP-TERMP-CADDR))
 (88 44 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (45 15 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (44 44 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (40 16 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (25 25 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (4 4 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::BIT-LIST-LIST-OF-MERGE-SORTED-PP-LISTS
 (2984 32 (:REWRITE RP::BIT-LISTP-LEMMA))
 (1552 158 (:DEFINITION RP::RP-TRANS-LST))
 (1309 110 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (1040 26 (:DEFINITION RP::RP-TRANS))
 (981 109 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (924 63 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (819 63 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (747 134 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (693 4 (:REWRITE RP::BIT-LIST-P-DEF))
 (585 5 (:REWRITE RP::PP-TERM-P-IS-BITP))
 (572 4 (:DEFINITION RP::PP-TERM-P))
 (553 553 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (525 132 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (468 26 (:DEFINITION RP::TRANS-LIST))
 (428 112 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (339 339 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (288 288 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (234 26 (:DEFINITION RP::IS-FALIST))
 (116 30 (:DEFINITION QUOTEP))
 (112 112 (:TYPE-PRESCRIPTION RP::PP-TERM-P))
 (88 88 (:TYPE-PRESCRIPTION RP::PP-HAS-BITP-RP))
 (60 4 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (52 4 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (52 4 (:DEFINITION RP::IS-SYNP$INLINE))
 (42 42 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (40 4 (:DEFINITION RP::INCLUDE-FNC))
 (37 37 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (32 32 (:TYPE-PRESCRIPTION BITP))
 (26 26 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (13 5 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (12 4 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (10 5 (:REWRITE RP::BIT-LISTP-LEMMA-2))
 (8 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (8 4 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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::EVAL-OF-BIT-OF))
 (4 4 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (4 4 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (4 4 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (4 4 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (4 4 (:REWRITE RP::EVAL-OF-BINARY-?))
 (4 4 (:REWRITE RP::EVAL-OF----))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::BIT-LIST-LISTP-OF-SORT-PP-LISTS
 (26580 123 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (22022 41 (:DEFINITION TRUE-LISTP))
 (19665 124 (:DEFINITION RP::RP-TERM-LISTP))
 (18671 371 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (16657 381 (:DEFINITION QUOTEP))
 (15340 312 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (15133 206 (:DEFINITION APPLY$-BADGEP))
 (9841 41 (:DEFINITION SUBSETP-EQUAL))
 (9308 574 (:DEFINITION MEMBER-EQUAL))
 (6902 6612 (:REWRITE DEFAULT-CDR))
 (6798 139 (:DEFINITION RP::RP-TERMP))
 (6036 371 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (5973 287 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (4778 4488 (:REWRITE DEFAULT-CAR))
 (2207 38 (:REWRITE RP::BIT-LISTP-LEMMA))
 (1712 1712 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1691 82 (:DEFINITION NATP))
 (1596 499 (:REWRITE RP::IS-IF-RP-TERMP))
 (1476 123 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1385 120 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (1271 1271 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1222 140 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (1107 123 (:DEFINITION RP::CC-ST-LISTP))
 (1074 1074 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (1035 115 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (963 153 (:DEFINITION RP::RP-TRANS-LST))
 (875 123 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (865 865 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (861 861 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (809 809 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (769 294 (:REWRITE RP::RP-TERMP-CADR))
 (615 615 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (575 575 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (574 574 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (535 206 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (509 131 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (499 188 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (458 82 (:REWRITE RP::RP-TERMP-CADDDR))
 (412 22 (:DEFINITION RP::RP-TRANS))
 (396 27 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (393 123 (:REWRITE RP::RP-TERMP-CADDR))
 (393 123 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (371 371 (:TYPE-PRESCRIPTION QUOTEP))
 (369 369 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (351 27 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (345 345 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (332 332 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (328 123 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (298 122 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (273 11 (:REWRITE RP::BIT-LIST-P-DEF))
 (246 246 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (246 41 (:DEFINITION ALL-NILS))
 (227 99 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (216 216 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (205 205 (:TYPE-PRESCRIPTION ALL-NILS))
 (198 99 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (192 135 (:REWRITE DEFAULT-<-2))
 (180 10 (:DEFINITION RP::TRANS-LIST))
 (164 164 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (164 82 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (151 135 (:REWRITE DEFAULT-<-1))
 (118 118 (:LINEAR LEN-WHEN-PREFIXP))
 (100 100 (:TYPE-PRESCRIPTION BITP))
 (99 99 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (90 10 (:DEFINITION RP::IS-FALIST))
 (88 11 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (82 82 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (66 11 (:DEFINITION ASSOC-EQUAL))
 (64 16 (:REWRITE RP::FLOOR-OF-TWO-IS-LESS))
 (41 41 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (41 41 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (33 11 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (24 12 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (22 11 (:REWRITE DEFAULT-UNARY-MINUS))
 (22 11 (:REWRITE DEFAULT-+-2))
 (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$INLINE))
 (11 11 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-QUOTE))
 (11 11 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (11 11 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (11 11 (:REWRITE RP::RP-EVL-OF-FORCE$-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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (11 11 (:REWRITE DEFAULT-+-1))
 (11 11 (:DEFINITION RP::IS-SYNP$INLINE))
 )
(RP::EVAL-OF-SORT-PP-LISTS-IS-CORRECT
 (51690 334 (:DEFINITION APPLY$-BADGEP))
 (48374 270 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (39824 108 (:DEFINITION TRUE-LISTP))
 (32488 260 (:DEFINITION RP::RP-TERM-LISTP))
 (31798 398 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (27361 785 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (24876 108 (:DEFINITION SUBSETP-EQUAL))
 (23472 1512 (:DEFINITION MEMBER-EQUAL))
 (23031 415 (:DEFINITION RP::RP-TERMP))
 (21370 638 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (20697 19726 (:REWRITE DEFAULT-CDR))
 (15036 756 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (14232 12631 (:REWRITE DEFAULT-CAR))
 (13781 785 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (5871 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (5370 5370 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (4838 1584 (:REWRITE RP::IS-IF-RP-TERMP))
 (3390 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (3348 3348 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3240 270 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (3078 216 (:DEFINITION NATP))
 (2605 148 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (2557 44 (:REWRITE RP::BIT-LISTP-LEMMA))
 (2523 42 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (2516 185 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (2456 2456 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (2448 136 (:DEFINITION RP::TRANS-LIST))
 (2430 270 (:DEFINITION RP::CC-ST-LISTP))
 (2268 2268 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (1942 745 (:REWRITE RP::RP-TERMP-CADR))
 (1900 1900 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (1840 1840 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (1538 768 (:REWRITE DEFAULT-+-2))
 (1518 131 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1512 1512 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (1501 137 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (1492 324 (:REWRITE RP::RP-TERMP-CADDDR))
 (1448 515 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (1446 515 (:REWRITE RP::RP-TERMP-CADDR))
 (1362 515 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (1350 1350 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (1264 102 (:DEFINITION RP::IS-SYNP$INLINE))
 (1255 157 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (1160 40 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (1116 124 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (1111 1111 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (1050 42 (:DEFINITION RP::RP-EQUAL))
 (1046 334 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (863 83 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (810 810 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (810 324 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (772 768 (:REWRITE DEFAULT-+-1))
 (769 769 (:TYPE-PRESCRIPTION QUOTEP))
 (759 759 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (750 750 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (702 270 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (650 65 (:DEFINITION RP::INCLUDE-FNC))
 (650 21 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (650 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (648 162 (:REWRITE RP::RP-TERMP-CADDDDR))
 (648 108 (:DEFINITION ALL-NILS))
 (620 143 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (567 567 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (549 147 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (540 540 (:TYPE-PRESCRIPTION ALL-NILS))
 (540 270 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (491 491 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (486 216 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (432 432 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (406 130 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (404 404 (:LINEAR LEN-WHEN-PREFIXP))
 (389 328 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (386 369 (:REWRITE DEFAULT-<-2))
 (383 369 (:REWRITE DEFAULT-<-1))
 (342 342 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (328 328 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (270 270 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (263 16 (:REWRITE RP::BIT-LIST-P-DEF))
 (232 232 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (213 83 (:REWRITE RP::EVAL-OF-BIT-OF))
 (213 83 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (213 83 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (213 83 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (213 83 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (213 83 (:REWRITE RP::EVAL-OF-BINARY-?))
 (213 83 (:REWRITE RP::EVAL-OF----))
 (186 31 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (171 9 (:REWRITE RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES-2))
 (148 83 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (148 83 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (133 133 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (131 131 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (131 131 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (131 131 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (126 126 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (84 84 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (84 42 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (84 42 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 (72 12 (:DEFINITION ASSOC-EQUAL))
 (62 62 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (34 17 (:REWRITE DEFAULT-UNARY-MINUS))
 (28 28 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (19 1 (:REWRITE RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES))
 (14 14 (:REWRITE RP::FLOOR-OF-LEN-IS-LESS-THAN-LST))
 (1 1 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 )
(RP::CONSP-OF-APPLY-SIGN
 (9 9 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE DEFAULT-CDR))
 (3 3 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::LEN-OF-APPLY-SIGN
 (58 3 (:REWRITE RP::LEN-TO-CONSP))
 (46 3 (:REWRITE ZP-OPEN))
 (32 32 (:LINEAR LEN-WHEN-PREFIXP))
 (23 11 (:REWRITE DEFAULT-CDR))
 (16 8 (:REWRITE DEFAULT-+-2))
 (12 6 (:REWRITE DEFAULT-<-2))
 (9 9 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (8 8 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE DEFAULT-<-1))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::MERGE-SORTED-PP-LISTS-SIMPLE-OF-APPLY-SIGN
 (162147 816 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (140112 272 (:DEFINITION TRUE-LISTP))
 (121661 704 (:DEFINITION RP::RP-TERM-LISTP))
 (115047 1993 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (104299 1925 (:DEFINITION QUOTEP))
 (97432 2134 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (96355 1071 (:DEFINITION APPLY$-BADGEP))
 (62134 272 (:DEFINITION SUBSETP-EQUAL))
 (58598 3808 (:DEFINITION MEMBER-EQUAL))
 (37524 1904 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (37300 796 (:DEFINITION RP::RP-TERMP))
 (34325 1993 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (10316 544 (:DEFINITION NATP))
 (10186 10186 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (9829 2975 (:REWRITE RP::IS-IF-RP-TERMP))
 (9792 816 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (8432 8432 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (7344 816 (:DEFINITION RP::CC-ST-LISTP))
 (7311 444 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (7008 816 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (6571 465 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (6172 6172 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (5712 5712 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (5418 774 (:DEFINITION BITP))
 (5148 1760 (:REWRITE RP::RP-TERMP-CADR))
 (4921 4921 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (4920 4920 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (4080 4080 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (3808 3808 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (3617 1489 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (3012 272 (:REWRITE RP::LEN-TO-CONSP))
 (2958 1071 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (2468 272 (:REWRITE ZP-OPEN))
 (2448 2448 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (2424 426 (:REWRITE RP::RP-TERMP-CADDDR))
 (2412 789 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
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 (2079 789 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
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 (1632 1632 (:TYPE-PRESCRIPTION LEN))
 (1632 272 (:DEFINITION ALL-NILS))
 (1578 1578 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (1360 1360 (:TYPE-PRESCRIPTION ALL-NILS))
 (1264 1264 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (1234 544 (:REWRITE DEFAULT-<-2))
 (1088 1088 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1088 544 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (774 774 (:TYPE-PRESCRIPTION BITP))
 (754 356 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (712 356 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (674 674 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (576 576 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (544 544 (:REWRITE DEFAULT-<-1))
 (544 544 (:LINEAR LEN-WHEN-PREFIXP))
 (460 230 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (356 356 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (296 296 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (288 288 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (288 288 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (272 272 (:TYPE-PRESCRIPTION ZP))
 (272 272 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (230 230 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (230 230 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::MERGE-SORTED-PP-LISTS-SIMPLE-OF-APPLY-SIGN-REVERSE
 (1254 2 (:DEFINITION RP::PP-LISTS-P))
 (1188 6 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
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 (882 4 (:DEFINITION RP::RP-TERM-LISTP))
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 (774 14 (:DEFINITION QUOTEP))
 (724 16 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (718 8 (:DEFINITION APPLY$-BADGEP))
 (466 2 (:DEFINITION SUBSETP-EQUAL))
 (440 28 (:DEFINITION MEMBER-EQUAL))
 (282 14 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (250 250 (:REWRITE DEFAULT-CDR))
 (246 14 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (244 6 (:DEFINITION RP::RP-TERMP))
 (150 150 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (150 150 (:REWRITE DEFAULT-CAR))
 (74 4 (:DEFINITION NATP))
 (72 6 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (64 18 (:REWRITE RP::IS-IF-RP-TERMP))
 (62 62 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (62 62 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (54 6 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (54 6 (:DEFINITION RP::CC-ST-LISTP))
 (44 44 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (42 6 (:DEFINITION BITP))
 (36 36 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
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 (28 28 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (26 8 (:REWRITE RP::RP-TERMP-CADR))
 (24 2 (:REWRITE RP::LEN-TO-CONSP))
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 (8 8 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (8 4 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (6 6 (:TYPE-PRESCRIPTION BITP))
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 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
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 )
(RP::MERGE-SORTED-PP-LISTS-SIMPLE-OF-APPLY-SIGN-2
 (1254 2 (:DEFINITION RP::PP-LISTS-P))
 (1188 6 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1052 2 (:DEFINITION TRUE-LISTP))
 (882 4 (:DEFINITION RP::RP-TERM-LISTP))
 (836 14 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (774 14 (:DEFINITION QUOTEP))
 (724 16 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (718 8 (:DEFINITION APPLY$-BADGEP))
 (466 2 (:DEFINITION SUBSETP-EQUAL))
 (440 28 (:DEFINITION MEMBER-EQUAL))
 (282 14 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (250 250 (:REWRITE DEFAULT-CDR))
 (246 14 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (244 6 (:DEFINITION RP::RP-TERMP))
 (150 150 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (150 150 (:REWRITE DEFAULT-CAR))
 (74 4 (:DEFINITION NATP))
 (72 6 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (64 18 (:REWRITE RP::IS-IF-RP-TERMP))
 (62 62 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (62 62 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (54 6 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (54 6 (:DEFINITION RP::CC-ST-LISTP))
 (44 44 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (42 6 (:DEFINITION BITP))
 (36 36 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (34 34 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (30 30 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
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 (28 28 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (26 8 (:REWRITE RP::RP-TERMP-CADR))
 (24 2 (:REWRITE RP::LEN-TO-CONSP))
 (22 8 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (20 4 (:REWRITE RP::RP-TERMP-CADDDR))
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 (8 8 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (8 8 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (8 4 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (6 6 (:TYPE-PRESCRIPTION BITP))
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 (2 2 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (2 2 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
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 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::CUT-LIST-BY-HALF-OF-SIGNED-PP-LISTS-0
 (21600 93 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
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 (13953 235 (:DEFINITION QUOTEP))
 (13118 260 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (13001 136 (:DEFINITION APPLY$-BADGEP))
 (9059 31 (:DEFINITION SUBSETP-EQUAL))
 (8656 434 (:DEFINITION MEMBER-EQUAL))
 (5595 217 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (4832 117 (:DEFINITION RP::RP-TERMP))
 (4545 4508 (:REWRITE DEFAULT-CDR))
 (4218 241 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2809 2772 (:REWRITE DEFAULT-CAR))
 (1601 447 (:REWRITE RP::IS-IF-RP-TERMP))
 (1147 62 (:DEFINITION NATP))
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 (1007 1007 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (961 961 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (901 280 (:REWRITE RP::RP-TERMP-CADR))
 (874 874 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (843 177 (:REWRITE ZP-OPEN))
 (837 93 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (837 93 (:DEFINITION RP::CC-ST-LISTP))
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 (651 93 (:DEFINITION BITP))
 (575 575 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
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 (406 406 (:REWRITE DEFAULT-+-2))
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 (387 129 (:REWRITE FOLD-CONSTS-IN-+))
 (382 62 (:REWRITE RP::RP-TERMP-CADDDR))
 (372 31 (:REWRITE RP::LEN-TO-CONSP))
 (365 136 (:DEFINITION WEAK-APPLY$-BADGE-P))
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 (112 112 (:LINEAR LEN-WHEN-PREFIXP))
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 (62 31 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
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 (37 37 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (35 35 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (35 35 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (31 31 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (20 20 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (3 3 (:REWRITE RP::CUT-LIST-BY-HALF-RETURNS-PP-LISTS))
 )
(RP::CUT-LIST-BY-HALF-OF-SIGNED-PP-LISTS-1
 (21600 93 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
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 (13118 260 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (13001 136 (:DEFINITION APPLY$-BADGEP))
 (9059 31 (:DEFINITION SUBSETP-EQUAL))
 (8656 434 (:DEFINITION MEMBER-EQUAL))
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 (4529 4495 (:REWRITE DEFAULT-CDR))
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 (1004 1004 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (961 961 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (901 280 (:REWRITE RP::RP-TERMP-CADR))
 (874 874 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
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 (837 93 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (837 93 (:DEFINITION RP::CC-ST-LISTP))
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 (651 93 (:DEFINITION BITP))
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 (406 406 (:REWRITE DEFAULT-+-2))
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 (387 129 (:REWRITE FOLD-CONSTS-IN-+))
 (382 62 (:REWRITE RP::RP-TERMP-CADDDR))
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 (365 136 (:DEFINITION WEAK-APPLY$-BADGE-P))
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 (31 31 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (20 20 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (16 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
 (1993 9 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
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 (540 11 (:DEFINITION RP::RP-TERMP))
 (466 29 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
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 (401 401 (:REWRITE DEFAULT-CDR))
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 (129 6 (:DEFINITION NATP))
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 (103 103 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
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 (85 85 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (81 9 (:DEFINITION RP::CC-ST-LISTP))
 (67 67 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
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 (63 63 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (61 61 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (57 9 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (42 6 (:DEFINITION BITP))
 (41 16 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (36 6 (:REWRITE RP::RP-TERMP-CADDDR))
 (33 12 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (30 9 (:REWRITE RP::RP-TERMP-CADDR))
 (30 9 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (29 29 (:TYPE-PRESCRIPTION QUOTEP))
 (27 27 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (24 9 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (21 9 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (18 18 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (18 9 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (18 3 (:REWRITE RP::LEN-TO-CONSP))
 (18 3 (:DEFINITION ALL-NILS))
 (16 16 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (15 15 (:TYPE-PRESCRIPTION ALL-NILS))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 6 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (12 3 (:REWRITE ZP-OPEN))
 (9 9 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (6 6 (:TYPE-PRESCRIPTION BITP))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(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$-AS))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-+-1))
 (3 3 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA1
 (2634 12 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2182 4 (:DEFINITION TRUE-LISTP))
 (1942 12 (:DEFINITION RP::RP-TERM-LISTP))
 (1828 36 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1620 32 (:DEFINITION QUOTEP))
 (1504 36 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1484 20 (:DEFINITION APPLY$-BADGEP))
 (968 4 (:DEFINITION SUBSETP-EQUAL))
 (916 56 (:DEFINITION MEMBER-EQUAL))
 (668 16 (:DEFINITION RP::RP-TERMP))
 (588 36 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (588 28 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (561 561 (:REWRITE DEFAULT-CDR))
 (338 338 (:REWRITE DEFAULT-CAR))
 (186 62 (:REWRITE RP::IS-IF-RP-TERMP))
 (148 8 (:DEFINITION NATP))
 (144 12 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (128 128 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (124 124 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (118 118 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (108 12 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (108 12 (:DEFINITION RP::CC-ST-LISTP))
 (98 42 (:REWRITE RP::RP-TERMP-CADR))
 (84 84 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (84 84 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (84 12 (:DEFINITION BITP))
 (76 76 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (60 60 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (60 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (56 56 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (52 20 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (52 8 (:REWRITE RP::RP-TERMP-CADDDR))
 (48 4 (:REWRITE RP::LEN-TO-CONSP))
 (42 12 (:REWRITE RP::RP-TERMP-CADDR))
 (42 12 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (40 4 (:REWRITE ZP-OPEN))
 (36 36 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (32 32 (:TYPE-PRESCRIPTION QUOTEP))
 (32 12 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (24 24 (:TYPE-PRESCRIPTION LEN))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (24 4 (:DEFINITION ALL-NILS))
 (20 20 (:TYPE-PRESCRIPTION ALL-NILS))
 (20 20 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (20 8 (:REWRITE DEFAULT-<-2))
 (16 16 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (16 8 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (12 12 (:TYPE-PRESCRIPTION BITP))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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$-AS))
 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA2
 (1841 9 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1617 3 (:DEFINITION TRUE-LISTP))
 (1356 6 (:DEFINITION RP::RP-TERM-LISTP))
 (1283 21 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1177 20 (:DEFINITION QUOTEP))
 (1104 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1095 12 (:DEFINITION APPLY$-BADGEP))
 (717 3 (:DEFINITION SUBSETP-EQUAL))
 (678 42 (:DEFINITION MEMBER-EQUAL))
 (435 21 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (396 396 (:REWRITE DEFAULT-CDR))
 (384 11 (:DEFINITION RP::RP-TERMP))
 (380 21 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (236 236 (:REWRITE DEFAULT-CAR))
 (121 38 (:REWRITE RP::IS-IF-RP-TERMP))
 (111 6 (:DEFINITION NATP))
 (108 9 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (95 95 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (93 93 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (81 9 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (81 9 (:DEFINITION RP::CC-ST-LISTP))
 (77 77 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (63 63 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (63 9 (:DEFINITION BITP))
 (58 23 (:REWRITE RP::RP-TERMP-CADR))
 (54 54 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (51 51 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (45 18 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (36 6 (:REWRITE RP::RP-TERMP-CADDDR))
 (36 3 (:REWRITE RP::LEN-TO-CONSP))
 (33 12 (:DEFINITION WEAK-APPLY$-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::CC-ST-P))
 (24 9 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (20 20 (:TYPE-PRESCRIPTION QUOTEP))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (18 18 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (18 3 (:DEFINITION ALL-NILS))
 (15 15 (:TYPE-PRESCRIPTION ALL-NILS))
 (15 6 (:REWRITE DEFAULT-<-2))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 12 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (12 6 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (9 9 (:TYPE-PRESCRIPTION BITP))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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$-AS))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (3 3 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA3
 (3122 15 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2708 5 (:DEFINITION TRUE-LISTP))
 (2327 12 (:DEFINITION RP::RP-TERM-LISTP))
 (2175 35 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1985 35 (:DEFINITION QUOTEP))
 (1856 42 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1837 22 (:DEFINITION APPLY$-BADGEP))
 (1201 5 (:DEFINITION SUBSETP-EQUAL))
 (1136 70 (:DEFINITION MEMBER-EQUAL))
 (729 35 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (686 19 (:DEFINITION RP::RP-TERMP))
 (673 673 (:REWRITE DEFAULT-CDR))
 (658 35 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (409 409 (:REWRITE DEFAULT-CAR))
 (214 69 (:REWRITE RP::IS-IF-RP-TERMP))
 (185 10 (:DEFINITION NATP))
 (180 15 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (159 159 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (155 155 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (136 136 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (135 15 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (135 15 (:DEFINITION RP::CC-ST-LISTP))
 (107 44 (:REWRITE RP::RP-TERMP-CADR))
 (105 105 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (105 15 (:DEFINITION BITP))
 (92 92 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (85 85 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (75 75 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (75 30 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (70 70 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (62 10 (:REWRITE RP::RP-TERMP-CADDDR))
 (60 5 (:REWRITE RP::LEN-TO-CONSP))
 (59 22 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (51 15 (:REWRITE RP::RP-TERMP-CADDR))
 (51 15 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (50 5 (:REWRITE ZP-OPEN))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (40 15 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (35 35 (:TYPE-PRESCRIPTION QUOTEP))
 (30 30 (:TYPE-PRESCRIPTION LEN))
 (30 30 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (30 5 (:DEFINITION ALL-NILS))
 (25 25 (:TYPE-PRESCRIPTION ALL-NILS))
 (25 10 (:REWRITE DEFAULT-<-2))
 (22 22 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (20 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (15 15 (:TYPE-PRESCRIPTION BITP))
 (10 10 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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$-AS))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA4
 (3302 15 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2708 5 (:DEFINITION TRUE-LISTP))
 (2439 16 (:DEFINITION RP::RP-TERM-LISTP))
 (2299 47 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (2029 43 (:DEFINITION QUOTEP))
 (1876 46 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1849 26 (:DEFINITION APPLY$-BADGEP))
 (1201 5 (:DEFINITION SUBSETP-EQUAL))
 (1136 70 (:DEFINITION MEMBER-EQUAL))
 (866 19 (:DEFINITION RP::RP-TERMP))
 (752 47 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (729 35 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (691 691 (:REWRITE DEFAULT-CDR))
 (429 429 (:REWRITE DEFAULT-CAR))
 (222 73 (:REWRITE RP::IS-IF-RP-TERMP))
 (185 10 (:DEFINITION NATP))
 (180 15 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (163 163 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (155 155 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (144 144 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (135 15 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (135 15 (:DEFINITION RP::CC-ST-LISTP))
 (115 48 (:REWRITE RP::RP-TERMP-CADR))
 (109 109 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (105 105 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (105 15 (:DEFINITION BITP))
 (96 96 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (75 75 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (75 30 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (70 70 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (67 26 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (62 10 (:REWRITE RP::RP-TERMP-CADDDR))
 (60 5 (:REWRITE RP::LEN-TO-CONSP))
 (51 15 (:REWRITE RP::RP-TERMP-CADDR))
 (51 15 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (50 5 (:REWRITE ZP-OPEN))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (43 43 (:TYPE-PRESCRIPTION QUOTEP))
 (40 15 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (30 30 (:TYPE-PRESCRIPTION LEN))
 (30 30 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (30 5 (:DEFINITION ALL-NILS))
 (26 26 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (25 25 (:TYPE-PRESCRIPTION ALL-NILS))
 (25 10 (:REWRITE DEFAULT-<-2))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (20 10 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (15 15 (:TYPE-PRESCRIPTION BITP))
 (10 10 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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$-AS))
 (5 5 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (5 5 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (4 2 (:REWRITE RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA1))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN-DUMMY-LEMMA5
 (2654 12 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2182 4 (:DEFINITION TRUE-LISTP))
 (1942 12 (:DEFINITION RP::RP-TERM-LISTP))
 (1846 36 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1628 36 (:DEFINITION QUOTEP))
 (1504 36 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1484 20 (:DEFINITION APPLY$-BADGEP))
 (968 4 (:DEFINITION SUBSETP-EQUAL))
 (916 56 (:DEFINITION MEMBER-EQUAL))
 (688 16 (:DEFINITION RP::RP-TERMP))
 (606 36 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (588 28 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (560 560 (:REWRITE DEFAULT-CDR))
 (348 348 (:REWRITE DEFAULT-CAR))
 (186 62 (:REWRITE RP::IS-IF-RP-TERMP))
 (148 8 (:DEFINITION NATP))
 (144 12 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (129 129 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (124 124 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (118 118 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (108 12 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (108 12 (:DEFINITION RP::CC-ST-LISTP))
 (98 42 (:REWRITE RP::RP-TERMP-CADR))
 (84 84 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (84 84 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (84 12 (:DEFINITION BITP))
 (76 76 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (60 60 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (60 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (56 56 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (52 20 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (52 8 (:REWRITE RP::RP-TERMP-CADDDR))
 (48 4 (:REWRITE RP::LEN-TO-CONSP))
 (42 12 (:REWRITE RP::RP-TERMP-CADDR))
 (42 12 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (40 4 (:REWRITE ZP-OPEN))
 (36 36 (:TYPE-PRESCRIPTION QUOTEP))
 (36 36 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (32 12 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (24 24 (:TYPE-PRESCRIPTION LEN))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (24 4 (:DEFINITION ALL-NILS))
 (20 20 (:TYPE-PRESCRIPTION ALL-NILS))
 (20 20 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (20 8 (:REWRITE DEFAULT-<-2))
 (16 16 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (16 8 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (12 12 (:TYPE-PRESCRIPTION BITP))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (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$-AS))
 (4 4 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (4 4 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::SORT-PP-LISTS-OF-APPLY-SIGN
 (1903 1835 (:REWRITE DEFAULT-CDR))
 (1732 1635 (:REWRITE DEFAULT-CAR))
 (135 135 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (133 133 (:REWRITE RP::PP-LIST-ORDER-SANITY))
 (96 96 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (88 6 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (78 6 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (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))
 )
(RP::AND$-PP-LISTS-AUX-RETURNS-BIT-LIST-LISTP
 (328 24 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (256 24 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (233 166 (:REWRITE DEFAULT-CDR))
 (184 119 (:REWRITE DEFAULT-CAR))
 (135 3 (:REWRITE RP::BIT-LISTP-LEMMA))
 (120 120 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (112 24 (:DEFINITION RP::RP-TRANS-LST))
 (108 24 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (108 24 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (72 72 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (64 18 (:REWRITE RP::ATOM-MERGE-SORTED-AND$-LISTS))
 (58 29 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (45 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (40 24 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (39 39 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (29 29 (: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$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::AND$-PP-LISTS-RETURNS-BIT-LIST-LISTP
 (252 21 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (189 21 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (187 165 (:REWRITE DEFAULT-CDR))
 (165 17 (:DEFINITION RP::BIT-LISTP))
 (140 118 (:REWRITE DEFAULT-CAR))
 (135 3 (:REWRITE RP::BIT-LISTP-LEMMA))
 (105 105 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (102 102 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (84 21 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (84 21 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (63 63 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (63 21 (:DEFINITION RP::RP-TRANS-LST))
 (60 60 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (54 18 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (51 17 (:DEFINITION BITP))
 (45 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (37 37 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (21 21 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (18 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (9 9 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (9 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (7 7 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (7 1 (:DEFINITION RP::AND$-PP-LISTS-AUX))
 (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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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
 (44319 121 (:DEFINITION RP::VALID-SC))
 (33324 30723 (:REWRITE DEFAULT-CDR))
 (23673 19079 (:REWRITE DEFAULT-CAR))
 (22308 139 (:DEFINITION RP::EVAL-AND-ALL))
 (9796 9796 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (9154 618 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (8424 468 (:DEFINITION RP::TRANS-LIST))
 (7918 614 (:DEFINITION RP::IS-SYNP$INLINE))
 (6362 468 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (6047 589 (:DEFINITION RP::INCLUDE-FNC))
 (5799 198 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (5685 81 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (2839 17 (:REWRITE RP::VALID-SC-EX-FROM-RP-2))
 (2388 398 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (2048 2048 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (2031 2031 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (1834 614 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (1618 1618 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (1452 121 (:REWRITE RP::NOT-INCLUDE-RP))
 (1356 468 (:REWRITE RP::EVAL-OF----))
 (1260 468 (:REWRITE RP::EVAL-OF-BIT-OF))
 (1252 468 (:REWRITE RP::EVAL-OF-BINARY-?))
 (1192 468 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (1164 468 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (1124 468 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (1108 468 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (1056 88 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (912 468 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (796 796 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (792 88 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (732 468 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (658 618 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (658 618 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (658 618 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (618 618 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (606 606 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (606 606 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (589 589 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (573 573 (:TYPE-PRESCRIPTION RP::CONTEXT-FROM-RP))
 (540 540 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (480 120 (:REWRITE RP::VALID-SC-OF-EX-FROM-RP))
 (352 88 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (321 46 (:DEFINITION RP::BIT-LISTP))
 (207 207 (:TYPE-PRESCRIPTION RP::EVAL-AND-ALL))
 (176 176 (:TYPE-PRESCRIPTION STRIP-CDRS))
 (162 162 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (121 121 (:TYPE-PRESCRIPTION RP::IS-IF$INLINE))
 (110 110 (:TYPE-PRESCRIPTION RP::RP-EVLT-LST-LST))
 (88 88 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (82 82 (:TYPE-PRESCRIPTION RP::BIT-LISTP))
 (36 36 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS))
 (12 12 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (5 1 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (1 1 (:TYPE-PRESCRIPTION QUOTEP))
 (1 1 (:REWRITE RP::VALID-SC-OF-OPENLY-QUOTED))
 )
(RP::AND$-PP-LISTS-AUX-EXTRACT-ACC
 (69 69 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (19 19 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE DEFAULT-CDR))
 (10 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1 1 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::AND$-PP-LISTS-EXTRACT-ACC
 (65 65 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (48 48 (:REWRITE DEFAULT-CDR))
 (45 3 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (40 16 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (39 3 (:DEFINITION RP::IS-SYNP$INLINE))
 (32 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (30 30 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (28 28 (:REWRITE DEFAULT-CAR))
 (18 3 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (9 9 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (9 3 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (4 4 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (3 3 (:TYPE-PRESCRIPTION RP::IS-SYNP$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$-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (3 3 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 )
(RP::AND$-PP-LISTS-AUX-EXTRACT-SIGN-AND-ACC
 (2171 3 (:DEFINITION TRUE-LISTP))
 (2169 9 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1863 5 (:DEFINITION RP::RP-TERM-LISTP))
 (1795 11 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1764 11 (:DEFINITION QUOTEP))
 (1705 18 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1695 3 (:DEFINITION APPLY$-BADGEP))
 (1603 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1260 3 (:DEFINITION SUBSETP-EQUAL))
 (1221 42 (:DEFINITION MEMBER-EQUAL))
 (798 21 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (697 1 (:REWRITE RP::APPEND-EQUAL))
 (603 557 (:REWRITE DEFAULT-CDR))
 (445 398 (:REWRITE DEFAULT-CAR))
 (281 11 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (246 3 (:DEFINITION RP::RP-TERMP))
 (156 6 (:DEFINITION NATP))
 (112 9 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (111 9 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (104 104 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (100 100 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (93 93 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (93 9 (:DEFINITION BITP))
 (87 8 (:DEFINITION RP::CC-ST-LISTP))
 (63 63 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (47 14 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (45 45 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (45 15 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (40 40 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (39 3 (:REWRITE RP::LEN-TO-CONSP))
 (36 15 (:REWRITE RP::IS-IF-RP-TERMP))
 (34 34 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (33 3 (:REWRITE ZP-OPEN))
 (31 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (29 3 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (28 28 (:TYPE-PRESCRIPTION LEN))
 (28 14 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (26 26 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (24 24 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (24 9 (:REWRITE RP::RP-TERMP-CADR))
 (18 6 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (18 3 (:DEFINITION ALL-NILS))
 (15 15 (:TYPE-PRESCRIPTION ALL-NILS))
 (15 6 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (15 6 (:REWRITE DEFAULT-<-2))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (12 6 (:REWRITE RP::RP-TERMP-CADDR))
 (12 6 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (12 2 (:REWRITE RP::LEN-TO-CONSP-WHEN-O))
 (11 11 (:TYPE-PRESCRIPTION QUOTEP))
 (11 11 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (10 10 (:LINEAR LEN-WHEN-PREFIXP))
 (10 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (9 9 (:TYPE-PRESCRIPTION BITP))
 (9 3 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (9 3 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (6 6 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (3 3 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (2 1 (:REWRITE RP::LEN-OF-APPLY-SIGN))
 )
(RP::AND$-PP-LISTS-EXTRACT-SIGN-AND-ACC
 (2517 9 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (2517 3 (:DEFINITION TRUE-LISTP))
 (2117 5 (:DEFINITION RP::RP-TERM-LISTP))
 (2055 11 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (2015 11 (:DEFINITION QUOTEP))
 (1935 18 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1923 3 (:DEFINITION APPLY$-BADGEP))
 (1749 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1458 3 (:DEFINITION SUBSETP-EQUAL))
 (1419 42 (:DEFINITION MEMBER-EQUAL))
 (930 21 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (926 1 (:REWRITE RP::APPEND-EQUAL))
 (642 558 (:REWRITE DEFAULT-CAR))
 (588 504 (:REWRITE DEFAULT-CDR))
 (356 11 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (312 3 (:DEFINITION RP::RP-TERMP))
 (156 6 (:DEFINITION NATP))
 (125 9 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (111 9 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (100 8 (:DEFINITION RP::CC-ST-LISTP))
 (95 95 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (93 93 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (93 9 (:DEFINITION BITP))
 (85 18 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (73 71 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (64 64 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (63 63 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (62 62 (:DEFINITION ACONS))
 (59 59 (:REWRITE RP::AND$-PP-LISTS-AUX-EXTRACT-ACC))
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 (39 3 (:REWRITE RP::LEN-TO-CONSP))
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 (6 6 (:REWRITE RP::AND$-PP-LISTS-EXTRACT-ACC))
 (6 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (4 2 (:REWRITE RP::LEN-OF-APPLY-SIGN))
 (3 3 (:TYPE-PRESCRIPTION ZP))
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 (3 3 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::TRUE-LIST-FIX-OF-APPLY-SIGN-TO-PP-LISTS
 (2016 9 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1953 3 (:DEFINITION TRUE-LISTP))
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 (1485 12 (:DEFINITION QUOTEP))
 (1395 18 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1383 3 (:DEFINITION APPLY$-BADGEP))
 (918 3 (:DEFINITION SUBSETP-EQUAL))
 (879 42 (:DEFINITION MEMBER-EQUAL))
 (570 21 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (449 386 (:REWRITE DEFAULT-CDR))
 (363 12 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (312 3 (:DEFINITION RP::RP-TERMP))
 (297 234 (:REWRITE DEFAULT-CAR))
 (156 6 (:DEFINITION NATP))
 (141 9 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (114 9 (:DEFINITION RP::CC-ST-LISTP))
 (111 9 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (93 93 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (93 93 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (93 9 (:DEFINITION BITP))
 (63 63 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (63 63 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (51 3 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (45 45 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (45 15 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (39 39 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (39 3 (:REWRITE RP::LEN-TO-CONSP))
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 (33 3 (:REWRITE ZP-OPEN))
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 (27 27 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (24 9 (:REWRITE RP::RP-TERMP-CADR))
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 (12 12 (:TYPE-PRESCRIPTION QUOTEP))
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 (12 6 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (12 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (9 9 (:TYPE-PRESCRIPTION BITP))
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 (9 3 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
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 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (6 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
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 (3 3 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (3 3 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::AND$-PP-LISTS-AUX-OF-APPLIED-SIGN
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 (30389 29 (:DEFINITION RP::PP-LISTS-P))
 (27586 37 (:DEFINITION TRUE-LISTP))
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 (23905 78 (:DEFINITION RP::RP-TERM-LISTP))
 (21341 260 (:DEFINITION QUOTEP))
 (20129 266 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (19949 119 (:DEFINITION APPLY$-BADGEP))
 (14708 35 (:DEFINITION SUBSETP-EQUAL))
 (14253 490 (:DEFINITION MEMBER-EQUAL))
 (9312 245 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (7353 6561 (:REWRITE DEFAULT-CDR))
 (7172 125 (:DEFINITION RP::RP-TERMP))
 (5487 4656 (:REWRITE DEFAULT-CAR))
 (5102 260 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2802 580 (:REWRITE RP::IS-IF-RP-TERMP))
 (2654 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1762 3 (:REWRITE RP::PP-LISTS-P-OF-APPLY-SIGN-TO-PP-LISTS))
 (1760 70 (:DEFINITION NATP))
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 (1611 109 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1430 1 (:REWRITE RP::APPEND-EQUAL))
 (1286 109 (:DEFINITION RP::CC-ST-LISTP))
 (1276 638 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
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 (1191 1191 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (1085 1085 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
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 (717 180 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
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 (665 203 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (629 180 (:REWRITE RP::RP-TERMP-CADDR))
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 (451 180 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (451 35 (:REWRITE RP::LEN-TO-CONSP))
 (410 64 (:REWRITE RP::RP-TERMP-CADDDR))
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 (381 35 (:REWRITE ZP-OPEN))
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 (176 176 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
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 (140 140 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (124 2 (:DEFINITION RP::CC-ST-P))
 (105 105 (:TYPE-PRESCRIPTION BITP))
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 (100 24 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (98 65 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (81 37 (:TYPE-PRESCRIPTION RP::PP-LISTS-P-OF-AND$-PP-LISTS-AUX))
 (70 70 (:REWRITE DEFAULT-<-1))
 (70 70 (:LINEAR LEN-WHEN-PREFIXP))
 (70 35 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (65 65 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (37 37 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (35 35 (:TYPE-PRESCRIPTION ZP))
 (35 35 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (35 35 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (35 35 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (18 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12 2 (:REWRITE RP::LEN-CONS))
 (4 2 (:REWRITE RP::LEN-OF-APPLY-SIGN))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(RP::AND$-PP-LISTS-OF-APPLIED-WITH-SAME-SIGN
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 (44624 22 (:DEFINITION TRUE-LISTP))
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 (40956 166 (:DEFINITION QUOTEP))
 (40266 168 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
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 (37458 96 (:REWRITE RP::APPLY-SIGN-TO-PP-LISTS-OF-SIGN=NIL))
 (37002 76 (:DEFINITION RP::PP-LISTS-P))
 (36840 22 (:DEFINITION SUBSETP-EQUAL))
 (36554 308 (:DEFINITION MEMBER-EQUAL))
 (24216 154 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (9142 6471 (:REWRITE DEFAULT-CDR))
 (8648 5976 (:REWRITE DEFAULT-CAR))
 (4658 82 (:DEFINITION RP::RP-TERMP))
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 (3216 188 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (2616 652 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2558 2558 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
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 (1540 124 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1490 264 (:REWRITE RP::RP-TERMP-CADR))
 (1168 124 (:DEFINITION RP::CC-ST-LISTP))
 (1144 44 (:DEFINITION NATP))
 (814 66 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (764 764 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (730 730 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (682 682 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (682 66 (:DEFINITION BITP))
 (620 620 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (508 508 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
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 (438 128 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (419 419 (:REWRITE RP::AND$-PP-LISTS-EXTRACT-ACC))
 (419 419 (:REWRITE RP::AND$-PP-LISTS-AUX-EXTRACT-ACC))
 (384 384 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
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 (372 372 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (312 84 (:TYPE-PRESCRIPTION RP::PP-LISTS-P-OF-AND$-PP-LISTS))
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 (308 308 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (286 22 (:REWRITE RP::LEN-TO-CONSP))
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 (284 76 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (252 36 (:REWRITE RP::RP-TERMP-CADDDR))
 (242 22 (:REWRITE ZP-OPEN))
 (232 232 (:TYPE-PRESCRIPTION QUOTEP))
 (220 220 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
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 (110 44 (:REWRITE DEFAULT-<-2))
 (92 92 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (88 88 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (66 66 (:TYPE-PRESCRIPTION BITP))
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 (66 22 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (58 46 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (46 46 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (44 44 (:REWRITE DEFAULT-<-1))
 (44 44 (:LINEAR LEN-WHEN-PREFIXP))
 (44 22 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (22 22 (:TYPE-PRESCRIPTION ZP))
 (22 22 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (22 22 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (22 22 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (22 22 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA
 (34 34 (: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
 (1881 3 (:DEFINITION RP::PP-LISTS-P))
 (1782 9 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1578 3 (:DEFINITION TRUE-LISTP))
 (1323 6 (:DEFINITION RP::RP-TERM-LISTP))
 (1254 21 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (1161 21 (:DEFINITION QUOTEP))
 (1086 24 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (1077 12 (:DEFINITION APPLY$-BADGEP))
 (699 3 (:DEFINITION SUBSETP-EQUAL))
 (660 42 (:DEFINITION MEMBER-EQUAL))
 (423 21 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (381 381 (:REWRITE DEFAULT-CDR))
 (369 21 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (366 9 (:DEFINITION RP::RP-TERMP))
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 (225 225 (:TYPE-PRESCRIPTION RP::RP-TERMP))
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 (96 27 (:REWRITE RP::IS-IF-RP-TERMP))
 (95 95 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (93 93 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (81 9 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (81 9 (:DEFINITION RP::CC-ST-LISTP))
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 (63 63 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (63 9 (:DEFINITION BITP))
 (54 54 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (51 51 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (45 45 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (45 18 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (39 12 (:REWRITE RP::RP-TERMP-CADR))
 (36 3 (:REWRITE RP::LEN-TO-CONSP))
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 (3 3 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
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 (3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (3 3 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (3 3 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE RP::PP-LISTS-P-OF-APPLY-SIGN-TO-PP-LISTS))
 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA-3
 (1188 6 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1052 2 (:DEFINITION TRUE-LISTP))
 (882 4 (:DEFINITION RP::RP-TERM-LISTP))
 (836 14 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
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 (718 8 (:DEFINITION APPLY$-BADGEP))
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 (440 28 (:DEFINITION MEMBER-EQUAL))
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 (257 257 (:REWRITE DEFAULT-CDR))
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 (74 4 (:DEFINITION NATP))
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 (65 65 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
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 (62 62 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (54 6 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (54 6 (:DEFINITION RP::CC-ST-LISTP))
 (44 44 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (42 42 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (42 6 (:DEFINITION BITP))
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 (28 28 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (26 8 (:REWRITE RP::RP-TERMP-CADR))
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 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
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 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA-4
 (627 1 (:DEFINITION RP::PP-LISTS-P))
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 (127 127 (:REWRITE DEFAULT-CDR))
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 (122 3 (:DEFINITION RP::RP-TERMP))
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 (75 75 (:TYPE-PRESCRIPTION RP::RP-TERMP))
 (37 2 (:DEFINITION NATP))
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 (32 9 (:REWRITE RP::IS-IF-RP-TERMP))
 (31 31 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (27 3 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (27 3 (:DEFINITION RP::CC-ST-LISTP))
 (22 22 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (21 21 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (21 3 (:DEFINITION BITP))
 (18 18 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (17 17 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (15 15 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (15 6 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (14 14 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (13 4 (:REWRITE RP::RP-TERMP-CADR))
 (12 1 (:REWRITE RP::LEN-TO-CONSP))
 (11 4 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (10 2 (:REWRITE RP::RP-TERMP-CADDDR))
 (10 1 (:REWRITE ZP-OPEN))
 (9 9 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (9 3 (:REWRITE RP::RP-TERMP-CADDR))
 (9 3 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (8 3 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (7 7 (:TYPE-PRESCRIPTION QUOTEP))
 (6 6 (:TYPE-PRESCRIPTION LEN))
 (6 6 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (6 1 (:DEFINITION ALL-NILS))
 (5 5 (:TYPE-PRESCRIPTION ALL-NILS))
 (5 2 (:REWRITE DEFAULT-<-2))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 4 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (4 2 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (3 3 (:TYPE-PRESCRIPTION BITP))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 1 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (2 1 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (1 1 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (1 1 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (1 1 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (1 1 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA
 (115926 84713 (:REWRITE DEFAULT-CDR))
 (101735 71278 (:REWRITE DEFAULT-CAR))
 (87818 6771 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (85202 49 (:DEFINITION RP::PP-LISTS-P))
 (82912 3023 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (82118 147 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (78013 49 (:DEFINITION TRUE-LISTP))
 (73557 98 (:DEFINITION RP::RP-TERM-LISTP))
 (73326 347 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (71047 347 (:DEFINITION QUOTEP))
 (69572 306 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (69413 196 (:DEFINITION APPLY$-BADGEP))
 (62809 49 (:DEFINITION SUBSETP-EQUAL))
 (62032 686 (:DEFINITION MEMBER-EQUAL))
 (40679 343 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
 (12996 12996 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (12210 5370 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (6988 151 (:DEFINITION RP::RP-TERMP))
 (6864 6864 (:REWRITE RP::AND$-PP-LISTS-EXTRACT-ACC))
 (6791 6791 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (6297 347 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (4197 4197 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (2313 98 (:DEFINITION NATP))
 (2104 479 (:REWRITE RP::IS-IF-RP-TERMP))
 (1764 147 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (1519 1519 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1323 147 (:DEFINITION RP::CC-ST-LISTP))
 (1135 226 (:REWRITE RP::RP-TERMP-CADR))
 (1124 1124 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (1123 147 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (1029 1029 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
 (925 925 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (872 104 (:DEFINITION BITP))
 (841 841 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (735 735 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (686 686 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
 (587 208 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
 (569 196 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (502 98 (:REWRITE RP::RP-TERMP-CADDDR))
 (475 155 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (463 155 (:REWRITE RP::RP-TERMP-CADDR))
 (441 441 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (412 155 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (369 135 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
 (360 49 (:REWRITE RP::LEN-TO-CONSP))
 (347 347 (:TYPE-PRESCRIPTION QUOTEP))
 (310 310 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (294 294 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (294 294 (:TYPE-PRESCRIPTION LEN))
 (294 49 (:DEFINITION ALL-NILS))
 (274 135 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
 (262 49 (:REWRITE ZP-OPEN))
 (245 245 (:TYPE-PRESCRIPTION ALL-NILS))
 (204 98 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
 (200 200 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (196 196 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (135 135 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (116 98 (:REWRITE DEFAULT-<-2))
 (106 106 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (104 104 (:TYPE-PRESCRIPTION BITP))
 (98 98 (:REWRITE DEFAULT-<-1))
 (98 98 (:LINEAR LEN-WHEN-PREFIXP))
 (53 53 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (53 53 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (49 49 (:TYPE-PRESCRIPTION ZP))
 (12 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 6 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
 (6 6 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
 )
(RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN
 (24 3 (:DEFINITION RP::APPLY-SIGN-TO-PP-LISTS))
 (9 9 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE DEFAULT-CDR))
 (3 3 (:DEFINITION ACONS))
 (2 2 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 )
(RP::AND$-PP-LISTS-AUX-IS-CORRECT-LEMMA-2
 (10 10 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
 (2 2 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(RP::AND$-PP-LISTS-AUX-IS-CORRECT
 (2814 2188 (:REWRITE DEFAULT-CAR))
 (2609 2244 (:REWRITE DEFAULT-CDR))
 (2139 30 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (1170 38 (:DEFINITION RP::RP-TERM-LISTP))
 (1121 145 (:DEFINITION RP::PP-LISTS-TO-TERM-AND$))
 (1055 18 (:REWRITE RP::BIT-LISTP-LEMMA))
 (1026 57 (:DEFINITION RP::TRANS-LIST))
 (1020 95 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (854 52 (:DEFINITION RP::RP-TERMP))
 (825 86 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (702 702 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (697 52 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (668 54 (:DEFINITION RP::IS-SYNP$INLINE))
 (631 95 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (524 51 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (429 44 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (395 39 (:DEFINITION RP::INCLUDE-FNC))
 (360 30 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (315 35 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (294 47 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (270 30 (:DEFINITION RP::CC-ST-LISTP))
 (253 253 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (242 242 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (234 72 (:REWRITE RP::ATOM-MERGE-SORTED-AND$-LISTS))
 (225 74 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (222 222 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (195 55 (:REWRITE RP::RP-TERMP-CADR))
 (195 55 (:REWRITE RP::IS-IF-RP-TERMP))
 (169 169 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (166 166 (:TYPE-PRESCRIPTION RP::TRUE-LISTP-OF-MERGE-SORTED-AND$-LISTS))
 (151 11 (:REWRITE RP::BIT-LIST-P-DEF))
 (150 150 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (149 44 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (135 27 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (129 51 (:REWRITE RP::EVAL-OF-BIT-OF))
 (129 51 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (129 51 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (129 51 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (129 51 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (129 51 (:REWRITE RP::EVAL-OF-BINARY-?))
 (129 51 (:REWRITE RP::EVAL-OF----))
 (95 95 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (90 90 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (90 51 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (90 51 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (87 87 (:TYPE-PRESCRIPTION QUOTEP))
 (86 86 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (86 86 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (86 86 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (81 27 (:DEFINITION APPLY$-BADGEP))
 (73 73 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (72 12 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (54 27 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (51 51 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (51 51 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (42 7 (:DEFINITION ASSOC-EQUAL))
 (36 36 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (27 27 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (26 26 (:REWRITE RP::AND$-PP-LISTS-AUX-EXTRACT-SIGN-AND-ACC))
 (26 26 (:REWRITE RP::AND$-PP-LISTS-AUX-EXTRACT-ACC))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (12 12 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (6 1 (:REWRITE RP::TYPE-FIX-WHEN-BITP))
 (6 1 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 )
(RP::AND$-PP-LISTS-IS-CORRECT
 (2233 1814 (:REWRITE DEFAULT-CAR))
 (2048 1770 (:REWRITE DEFAULT-CDR))
 (1922 21 (:REWRITE RP::RP-TERM-LISTP-IS-TRUE-LISTP))
 (948 88 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (898 25 (:DEFINITION RP::RP-TERM-LISTP))
 (810 52 (:DEFINITION RP::RP-TERMP))
 (774 43 (:DEFINITION RP::TRANS-LIST))
 (693 12 (:REWRITE RP::BIT-LISTP-LEMMA))
 (597 88 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (580 59 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (555 555 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (554 106 (:DEFINITION RP::PP-LISTS-TO-TERM-AND$))
 (511 511 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (472 39 (:DEFINITION RP::IS-SYNP$INLINE))
 (399 39 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (372 36 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (365 35 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (285 38 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (280 28 (:DEFINITION RP::INCLUDE-FNC))
 (270 30 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (269 269 (:TYPE-PRESCRIPTION RP::APPLY-SIGN-TO-PP-LISTS))
 (268 268 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (252 21 (:REWRITE RP::CC-ST-LISTP-IMPLIES-TRUE-LISTP))
 (206 206 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (200 24 (:DEFINITION RP::BIT-LISTP))
 (197 197 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (189 21 (:DEFINITION RP::CC-ST-LISTP))
 (174 174 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (173 45 (:REWRITE RP::RP-TERMP-CADR))
 (173 45 (:REWRITE RP::IS-IF-RP-TERMP))
 (158 51 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (154 154 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (136 8 (:DEFINITION BINARY-APPEND))
 (125 35 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (125 25 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (113 67 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (108 36 (:REWRITE RP::CONSP-OF-RP-EVL-OF-TRANS-LIST))
 (107 7 (:REWRITE RP::BIT-LIST-P-DEF))
 (106 2 (:REWRITE RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES))
 (105 105 (:TYPE-PRESCRIPTION RP::CC-ST-LISTP))
 (102 102 (:TYPE-PRESCRIPTION RP::AND$-PP-LISTS-AUX))
 (100 2 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (92 36 (:REWRITE RP::EVAL-OF-BIT-OF))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (92 36 (:REWRITE RP::EVAL-OF-BINARY-?))
 (92 36 (:REWRITE RP::EVAL-OF----))
 (84 84 (:TYPE-PRESCRIPTION QUOTEP))
 (80 16 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (75 25 (:DEFINITION APPLY$-BADGEP))
 (68 68 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (64 36 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (64 36 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (63 63 (:TYPE-PRESCRIPTION RP::CC-ST-P))
 (59 59 (:REWRITE RP::RP-EVL-OF-ZP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-UNARY-/-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-UNARY---CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-TYPESPEC-CHECK-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-SYNP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-SYMBOLP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-SYMBOL-PACKAGE-NAME-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-SYMBOL-NAME-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-STRINGP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-SUBTERMS-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-SUBTERMS-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CNT-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-RP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-RETURN-LAST-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-REALPART-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-RATIONALP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-NUMERATOR-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-NOT-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-NATP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-LAMBDA))
 (59 59 (:REWRITE RP::RP-EVL-OF-INTERN-IN-PACKAGE-OF-SYMBOL-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-INTEGERP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-IMPLIES-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-IMAGPART-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-IFF-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-IF-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-HIDE-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-FORCE-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-FORCE$-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (59 59 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (52 4 (:REWRITE CAR-OF-APPEND))
 (50 50 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (50 25 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (48 8 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (36 36 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (36 36 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (30 5 (:DEFINITION ASSOC-EQUAL))
 (25 25 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (24 24 (:TYPE-PRESCRIPTION RP::IS-RP$INLINE))
 (20 5 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (18 3 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (16 16 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$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$-PP-LISTS-AUX-EXTRACT-ACC))
 (10 10 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (8 8 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (6 1 (:REWRITE RP::TYPE-FIX-WHEN-BITP))
 (6 1 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (5 5 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(RP::RP-EVLT_OF_PP-LISTS-TO-TERM_OF_PP-TERM-TO-PP-LISTS
 (11150 11150 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (5557 787 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (4320 864 (:DEFINITION RP::TRANS-LIST))
 (3710 530 (:DEFINITION RP::INCLUDE-FNC))
 (3676 3676 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (3557 1041 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (2710 271 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (2588 1034 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (2415 2415 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (2403 2403 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (1897 271 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (1643 777 (:DEFINITION RP::IS-SYNP$INLINE))
 (1540 178 (:REWRITE RP::ATOM-MERGE-SORTED-PP-LISTS))
 (1482 247 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (1410 235 (:DEFINITION LEN))
 (1406 1406 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (1286 791 (:REWRITE RP::EVAL-OF----))
 (1284 789 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (1213 150 (:DEFINITION RP::PP-LISTS-TO-TERM-P+))
 (1156 155 (:DEFINITION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (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-DONT-RW-CONTEXT-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-CASESPLIT-FROM-CONTEXT-TRIG-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))
 (962 962 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (948 948 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (851 851 (:TYPE-PRESCRIPTION RP::APPLY-SIGN-TO-PP-LISTS))
 (777 777 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (777 777 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (714 42 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (680 271 (:DEFINITION STRIP-CDRS))
 (546 42 (:DEFINITION RP::RP-EQUAL))
 (542 542 (:TYPE-PRESCRIPTION STRIP-CDRS))
 (494 494 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (470 235 (:REWRITE DEFAULT-+-2))
 (409 198 (:REWRITE RP::CONSP-OF-APPLY-SIGN))
 (399 21 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (399 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (396 300 (:DEFINITION RP::PP-LISTS-TO-TERM-AND$))
 (379 379 (:REWRITE RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA))
 (271 271 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 (250 250 (:TYPE-PRESCRIPTION RP::TWO-PP-LIST-CANCEL-EACH-OTHER))
 (241 241 (:REWRITE RP::AND$-PP-LISTS-EXTRACT-ACC))
 (235 235 (:TYPE-PRESCRIPTION LEN))
 (235 235 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
 (235 235 (:REWRITE DEFAULT-+-1))
 (126 126 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (126 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (84 84 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (84 42 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (84 42 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (84 42 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 (84 21 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (46 46 (:REWRITE RP::PP-TERM-TO-PP-LISTS-EXTRACT-SIGN-LEMMA-DUMMY-LEMMA-3))
 (39 13 (:REWRITE RP::PP-HAS-BITP-RP-IMPLIES))
 (18 2 (:REWRITE RP::TWO-PP-LIST-CANCEL-EACH-OTHER-IMPLIES))
 (12 2 (:REWRITE RP::BITP-IMPLIES-INTEGERP))
 (8 2 (:REWRITE RP::QUOTEP-TERM-WITH-EX-FROM-RP))
 (7 7 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (2 2 (:TYPE-PRESCRIPTION QUOTEP))
 )
(RP::EVAL-OF-SORT-PP-FLATTEN-MAIN-IS-CORRECT
 (5669 5669 (:TYPE-PRESCRIPTION RP::RP-TRANS-LST))
 (4830 30 (:DEFINITION RP::EVAL-AND-ALL))
 (3378 3162 (:REWRITE DEFAULT-CDR))
 (3299 2465 (:REWRITE DEFAULT-CAR))
 (1961 157 (:REWRITE RP::EX-FROM-SYNP-LEMMA1))
 (1653 123 (:DEFINITION RP::IS-SYNP$INLINE))
 (1296 72 (:DEFINITION RP::TRANS-LIST))
 (971 971 (:META RP::BINARY-OR**/AND**-GUARD-META-CORRECT))
 (954 83 (:DEFINITION RP::INCLUDE-FNC))
 (873 55 (:REWRITE RP::RP-TRANS-IS-TERM-WHEN-LIST-IS-ABSENT))
 (683 7 (:DEFINITION RP::RP-TERMP))
 (671 157 (:REWRITE RP::RP-EVL-OF-VARIABLE))
 (540 91 (:REWRITE RP::EVL-OF-EXTRACT-FROM-RP-2))
 (403 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL2))
 (371 55 (:REWRITE RP::EVAL-OF---1))
 (332 30 (:REWRITE RP::NOT-INCLUDE-RP))
 (321 125 (:REWRITE RP::ATOM-RP-TERMP-IS-SYMBOLP))
 (290 290 (:REWRITE RP::CONSP-RP-TRANS-LST))
 (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$-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-FALIST-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-EQUAL-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-DONT-RW-CONTEXT-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-DENOMINATOR-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CONSP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CONS-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-COMPLEX-RATIONALP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-COERCE-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CODE-CHAR-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CHARACTERP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CHAR-CODE-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CDR-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CASESPLIT-FROM-CONTEXT-TRIG-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-CAR-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-BITP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-BINARY-+-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-BINARY-*-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-BAD-ATOM<=-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-ACL2-NUMBERP-CALL))
 (262 157 (:REWRITE RP::RP-EVL-OF-<-CALL))
 (252 252 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC))
 (227 2 (:REWRITE RP::RP-TERMP-OF-RP-TRANS))
 (180 180 (:TYPE-PRESCRIPTION RP::IS-RP-LOOSE$INLINE))
 (178 2 (:REWRITE RP::RP-EQUAL-IS-SYMMETRIC))
 (178 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL-LOOSE))
 (177 177 (:TYPE-PRESCRIPTION RP::IS-SYNP$INLINE))
 (171 171 (:TYPE-PRESCRIPTION RP::INCLUDE-FNC-SUBTERMS))
 (161 55 (:REWRITE RP::EVAL-OF-BIT-OF))
 (161 55 (:REWRITE RP::EVAL-OF-BINARY-XOR))
 (161 55 (:REWRITE RP::EVAL-OF-BINARY-OR))
 (161 55 (:REWRITE RP::EVAL-OF-BINARY-NOT))
 (161 55 (:REWRITE RP::EVAL-OF-BINARY-AND))
 (161 55 (:REWRITE RP::EVAL-OF-BINARY-?))
 (151 1 (:REWRITE RP::RP-EVLT-OF-RP-EQUAL))
 (150 150 (:TYPE-PRESCRIPTION RP::CONTEXT-FROM-RP))
 (125 125 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
 (124 2 (:REWRITE RP::RP-EQUAL-REFLEXIVE))
 (120 30 (:REWRITE RP::VALID-SC-OF-EX-FROM-RP))
 (120 30 (:REWRITE RP::VALID-SC-EX-FROM-RP))
 (108 55 (:REWRITE RP::WHEN-EX-FROM-RP-IS-1))
 (108 55 (:REWRITE RP::WHEN-EX-FROM-RP-IS-0))
 (83 83 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (80 15 (:REWRITE RP::IS-IF-RP-TERMP))
 (79 48 (:REWRITE RP::VALID-SC-CADDR))
 (68 9 (:REWRITE RP::RP-TERMP-CADR))
 (57 9 (:REWRITE RP::RP-TERMP-IMPLIES-SUBTERMS))
 (56 2 (:DEFINITION RP::RP-TERM-LISTP))
 (50 2 (:DEFINITION RP::RP-EQUAL))
 (48 23 (:REWRITE RP::VALID-SC-CADDDR))
 (48 4 (:REWRITE <<-IMPLIES-LEXORDER))
 (32 8 (:REWRITE <<-TRICHOTOMY))
 (31 1 (:REWRITE RP::RP-EVL-OF-RP-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION RP::IS-IF$INLINE))
 (30 30 (:TYPE-PRESCRIPTION RP::EVAL-AND-ALL))
 (29 1 (:DEFINITION RP::RP-EVLT-LST-LST))
 (24 24 (:TYPE-PRESCRIPTION <<))
 (24 24 (:REWRITE RP::RP-TERMP-SHOULD-TERM-BE-IN-CONS-LHS))
 (18 18 (:TYPE-PRESCRIPTION RP::RP-TERM-LISTP))
 (18 9 (:REWRITE RP::RP-TERMP-IMPLIES-CDR-LISTP))
 (15 6 (:REWRITE RP::RP-TERMP-SINGLE-STEP-3))
 (12 12 (:REWRITE RP::VALID-SC-NIL))
 (12 6 (:REWRITE RP::RP-TERMP-CADDR))
 (12 6 (:REWRITE RP::IS-RP-PSEUDO-TERMP))
 (12 1 (:REWRITE RP::RP-TRANS-LST-IS-LST-WHEN-LIST-IS-ABSENT))
 (10 10 (:REWRITE RP::RP-EVL-META-EXTRACT-FN-CHECK-DEF))
 (10 2 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
 (9 9 (:TYPE-PRESCRIPTION QUOTEP))
 (9 1 (:DEFINITION RP::INCLUDE-FNC-SUBTERMS))
 (8 8 (:REWRITE <<-TRANSITIVE))
 (8 4 (:REWRITE <<-ASYMMETRIC))
 (6 6 (:TYPE-PRESCRIPTION RP::RP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION RP::FALIST-CONSISTENT))
 (6 2 (:DEFINITION APPLY$-BADGEP))
 (4 4 (:TYPE-PRESCRIPTION RP::RP-EQUAL-SUBTERMS))
 (4 4 (:REWRITE LEXORDER-TRANSITIVE))
 (4 2 (:REWRITE RP::RP-EQUAL-SUBTERMS-REFLEXIVE))
 (4 2 (:DEFINITION WEAK-APPLY$-BADGE-P))
 (4 1 (:REWRITE RP::RP-EVL-LST-OF-CONS))
 (4 1 (:REWRITE RP::RP-EVL-LST-OF-ATOM))
 (4 1 (:DEFINITION STRIP-CDRS))
 (2 2 (:TYPE-PRESCRIPTION STRIP-CDRS))
 (2 2 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
 (1 1 (:REWRITE RP::RP-EVLT-LST-OF-CONS))
 )
