(SYN::TS-CONSP)
(CPATH::SUDO-LEN
 (191 50 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (170 170 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (162 80 (:REWRITE DEFAULT-+-2))
 (160 117 (:REWRITE DEFAULT-CDR))
 (94 80 (:REWRITE DEFAULT-+-1))
 (91 50 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (84 4 (:DEFINITION LENGTH))
 (32 8 (:REWRITE COMMUTATIVITY-OF-+))
 (32 8 (:DEFINITION INTEGER-ABS))
 (20 17 (:REWRITE DEFAULT-CAR))
 (13 13 (:REWRITE FOLD-CONSTS-IN-+))
 (10 9 (:REWRITE DEFAULT-<-2))
 (10 9 (:REWRITE DEFAULT-<-1))
 (8 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 6 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (6 6 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (4 4 (:REWRITE DEFAULT-REALPART))
 (4 4 (:REWRITE DEFAULT-NUMERATOR))
 (4 4 (:REWRITE DEFAULT-IMAGPART))
 (4 4 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 (4 2 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (2 2 (:REWRITE CLR-DIFFERENTIAL))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2 2 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2 2 (:META CONS-EQUAL-SMART-META))
 (1 1 (:LINEAR ACL2-COUNT-WHEN-CONSP-LINEAR))
 (1 1 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 )
(CPATH::INTEGERP-SUDO-LEN)
(CPATH::SUDO-LEN-LINEAR)
(CPATH::EQUAL-LEN
 (304 82 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (242 242 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (235 175 (:REWRITE DEFAULT-CDR))
 (212 105 (:REWRITE DEFAULT-+-2))
 (140 82 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (122 105 (:REWRITE DEFAULT-+-1))
 (105 5 (:DEFINITION LENGTH))
 (40 10 (:REWRITE COMMUTATIVITY-OF-+))
 (40 10 (:DEFINITION INTEGER-ABS))
 (30 27 (:REWRITE DEFAULT-CAR))
 (16 16 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (16 16 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (15 15 (:REWRITE FOLD-CONSTS-IN-+))
 (12 11 (:REWRITE DEFAULT-<-2))
 (12 11 (:REWRITE DEFAULT-<-1))
 (12 6 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP))
 (6 6 (:REWRITE CLR-DIFFERENTIAL))
 (6 6 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (6 6 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (6 6 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (6 6 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (6 6 (:META CONS-EQUAL-SMART-META))
 (5 5 (:REWRITE DEFAULT-REALPART))
 (5 5 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE DEFAULT-IMAGPART))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (5 5 (:REWRITE DEFAULT-COERCE-2))
 (5 5 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:LINEAR ACL2-COUNT-WHEN-CONSP-LINEAR))
 (1 1 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 )
(CPATH::EQUAL-LEN-IDENTITY
 (219 219 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (205 162 (:REWRITE DEFAULT-CDR))
 (163 46 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (102 64 (:REWRITE DEFAULT-CAR))
 (79 46 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (58 29 (:REWRITE DEFAULT-+-2))
 (34 17 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (29 29 (:REWRITE DEFAULT-+-1))
 (17 17 (:TYPE-PRESCRIPTION BOOLEANP))
 (17 17 (:REWRITE CLR-DIFFERENTIAL))
 (17 17 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (17 17 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (17 17 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (17 17 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (17 17 (:META CONS-EQUAL-SMART-META))
 (6 6 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (6 6 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 )
(CPATH::SYNTAX-QUOTE-DIVERGE
 (4 4 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 )
(CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-QUOTE-TRUE
 (3090 25 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (1540 25 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (1145 50 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (1100 50 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (1037 1037 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (931 676 (:REWRITE DEFAULT-CDR))
 (578 337 (:REWRITE DEFAULT-CAR))
 (509 146 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (400 100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (400 100 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (300 300 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (300 300 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (300 300 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (254 149 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (249 146 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (247 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (239 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (222 111 (:REWRITE DEFAULT-+-2))
 (207 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (200 200 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (200 200 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (200 200 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (192 192 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (192 192 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (176 22 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (150 50 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (149 149 (:REWRITE CLR-DIFFERENTIAL))
 (149 149 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (149 149 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (149 149 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (149 149 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (149 149 (:META CONS-EQUAL-SMART-META))
 (136 136 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (136 136 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (135 90 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (130 100 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (120 100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (111 111 (:REWRITE DEFAULT-+-1))
 (102 102 (:TYPE-PRESCRIPTION BOOLEANP))
 (100 100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (100 100 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (100 100 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (95 50 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (90 90 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (60 60 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (60 60 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (50 50 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (50 50 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (50 50 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (50 50 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (50 50 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (50 50 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (50 50 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (46 23 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (26 2 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (25 25 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (25 25 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (25 25 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (25 25 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (23 23 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (23 23 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (23 23 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (23 23 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (22 22 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (22 22 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (18 18 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (18 18 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (18 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (16 4 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (16 2 (:DEFINITION TRUE-LISTP))
 (14 2 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (12 4 (:REWRITE UNICITY-OF-0))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 4 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (8 4 (:DEFINITION FIX))
 (6 2 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (4 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (4 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2 2 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2 2 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (2 2 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 )
(CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-DIVERGE
 (2468 20 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (1329 1329 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1228 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (1180 725 (:REWRITE DEFAULT-CDR))
 (1138 1138 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (952 36 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (914 40 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (884 13 (:DEFINITION SYN::CONSP-REC))
 (880 40 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (611 353 (:REWRITE DEFAULT-CAR))
 (604 18 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (578 164 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (320 80 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (320 80 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (282 164 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (263 140 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (256 36 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (252 126 (:REWRITE DEFAULT-+-2))
 (247 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (240 240 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (240 240 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (240 240 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (239 7 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (239 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (213 7 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (207 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (195 13 (:DEFINITION SYN::APPENDP))
 (160 160 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (160 160 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (160 160 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (146 2 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (140 140 (:REWRITE CLR-DIFFERENTIAL))
 (140 140 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (140 140 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (140 140 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (140 140 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (140 140 (:META CONS-EQUAL-SMART-META))
 (136 17 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (133 133 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (133 133 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (126 126 (:REWRITE DEFAULT-+-1))
 (123 123 (:TYPE-PRESCRIPTION BOOLEANP))
 (120 40 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (116 80 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (110 110 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (104 80 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (102 68 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (80 80 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (80 80 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (80 80 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (74 40 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (71 5 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (68 68 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (58 32 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (43 7 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (43 5 (:DEFINITION TRUE-LISTP))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (41 41 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (41 41 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (41 41 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (40 40 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (40 40 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (40 40 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (40 40 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (40 40 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (40 40 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (40 40 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (28 28 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (28 7 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (27 27 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (27 27 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (26 18 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (25 25 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (23 10 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (20 20 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (20 20 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (20 20 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (20 20 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (20 20 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (18 18 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (17 17 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (17 17 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (13 5 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (13 5 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:DEFINITION FIX))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (7 7 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (7 7 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (7 7 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (7 7 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (6 2 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (5 5 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (5 5 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (4 2 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2 2 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 )
(CPATH::SYNTAX-DIVERGE
 (781 383 (:REWRITE DEFAULT-+-2))
 (680 680 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (678 508 (:REWRITE DEFAULT-CDR))
 (456 383 (:REWRITE DEFAULT-+-1))
 (441 21 (:DEFINITION LENGTH))
 (405 242 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (168 42 (:REWRITE COMMUTATIVITY-OF-+))
 (168 42 (:DEFINITION INTEGER-ABS))
 (87 69 (:REWRITE DEFAULT-CAR))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (57 47 (:REWRITE DEFAULT-<-2))
 (52 47 (:REWRITE DEFAULT-<-1))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (42 42 (:REWRITE DEFAULT-UNARY-MINUS))
 (40 40 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (40 40 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (21 21 (:REWRITE DEFAULT-REALPART))
 (21 21 (:REWRITE DEFAULT-NUMERATOR))
 (21 21 (:REWRITE DEFAULT-IMAGPART))
 (21 21 (:REWRITE DEFAULT-DENOMINATOR))
 (21 21 (:REWRITE DEFAULT-COERCE-2))
 (21 21 (:REWRITE DEFAULT-COERCE-1))
 (18 9 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (9 9 (:TYPE-PRESCRIPTION BOOLEANP))
 (9 9 (:REWRITE CLR-DIFFERENTIAL))
 (9 9 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (9 9 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (9 9 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (9 9 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (9 9 (:META CONS-EQUAL-SMART-META))
 (9 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::SYNTAX-DIVERGE-IMPLIES-DIVERGE
 (23945 97 (:DEFINITION CPATH::SYNTAX-QUOTE-DIVERGE))
 (8591 65 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (6707 382 (:REWRITE CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-QUOTE-TRUE))
 (6056 155 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (5723 79 (:DEFINITION SYN::CONSP-REC))
 (5251 5251 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5009 3311 (:REWRITE DEFAULT-CDR))
 (4224 64 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (3865 2182 (:REWRITE DEFAULT-CAR))
 (3345 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (2920 128 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (2020 2020 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2020 2020 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1818 956 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1470 1414 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1414 1414 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1176 29 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (1160 29 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (1080 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (1052 256 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (956 956 (:REWRITE CLR-DIFFERENTIAL))
 (956 956 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (956 956 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (956 956 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (956 956 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (956 956 (:META CONS-EQUAL-SMART-META))
 (940 772 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (923 113 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (864 5 (:REWRITE CPATH::DIVERGE-OF-APPEND-FROM-DIVERGE-ONE))
 (862 862 (:TYPE-PRESCRIPTION BOOLEANP))
 (772 772 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (772 772 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (635 3 (:REWRITE CPATH::DIVERGE-OF-APPEND-FROM-DIVERGE-TWO))
 (574 574 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (570 18 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (568 512 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (537 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (512 512 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (512 512 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (443 268 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (398 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (396 198 (:REWRITE DEFAULT-+-2))
 (380 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (367 5 (:REWRITE LIST::CONSP-APPEND))
 (336 18 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (276 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (268 256 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (256 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (256 256 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (256 256 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (252 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (250 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (242 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (239 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (214 8 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (210 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (198 198 (:REWRITE DEFAULT-+-1))
 (184 184 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (184 184 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (142 128 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (141 141 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (140 140 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (140 140 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (135 135 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (132 132 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (128 128 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (128 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (128 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (128 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (128 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (118 118 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (113 113 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (113 113 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (102 51 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (102 51 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (90 18 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (90 6 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (88 88 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (88 88 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (88 88 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (56 2 (:REWRITE LIST::CDR-APPEND-CONSP))
 (54 6 (:DEFINITION TRUE-LISTP))
 (51 51 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (51 51 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (51 51 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (51 51 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (46 46 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (46 46 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (30 12 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (27 1 (:REWRITE LIST::CAR-APPEND-CONSP))
 (24 12 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (24 6 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (18 18 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (18 18 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (18 18 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (18 12 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (18 6 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (18 6 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (14 14 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (12 12 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (12 6 (:REWRITE LIST::OPEN-EQUIV))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:DEFINITION FIX))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (6 6 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (6 6 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 )
(CPATH::REMOVE-COMMON-PREFIX)
(CPATH::REMOVE-COMMON-PREFIX-IDENTITY
 (12 12 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::SYNTAX-QUOTE-REMOVE-COMMON-PREFIX)
(CPATH::PSEUDO-TERMP-SYNTAX-QUOTE-REMOVE-COMMON-PREFIX
 (826 826 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (777 604 (:REWRITE DEFAULT-CDR))
 (678 184 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (426 329 (:REWRITE DEFAULT-CAR))
 (416 32 (:REWRITE SYN::PSEUDO-TERM-LISTP-OF-CAR))
 (397 67 (:REWRITE SYN::PSEUDO-TERM-LISTP-OF-CDR))
 (326 184 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (228 114 (:REWRITE DEFAULT-+-2))
 (208 16 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED-2))
 (208 16 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED))
 (183 96 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (125 2 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (124 124 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (121 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (115 115 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (114 114 (:REWRITE DEFAULT-+-1))
 (112 4 (:DEFINITION CPATH::REMOVE-COMMON-PREFIX))
 (105 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (96 96 (:REWRITE CLR-DIFFERENTIAL))
 (96 96 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (96 96 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (96 96 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (96 96 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (96 96 (:META CONS-EQUAL-SMART-META))
 (88 9 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (80 16 (:REWRITE SYN::PSEUDO-TERMP-OF-CADR))
 (80 16 (:DEFINITION TRUE-LISTP))
 (64 64 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (64 64 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (64 64 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (64 32 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (64 32 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (64 16 (:DEFINITION SYMBOL-LISTP))
 (55 55 (:TYPE-PRESCRIPTION BOOLEANP))
 (32 32 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (32 32 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (32 32 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (32 32 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (14 2 (:REWRITE FOLD-CONSTS-IN-+))
 (12 12 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (12 12 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (9 9 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (9 9 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (6 2 (:REWRITE UNICITY-OF-0))
 (4 2 (:DEFINITION FIX))
 )
(CPATH::DIVERGE-REMOVE-COMMON-PREFIX-NOOP
 (1077 1077 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (312 26 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (286 286 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (144 144 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (128 126 (:REWRITE DEFAULT-CDR))
 (119 119 (:REWRITE DEFAULT-CAR))
 (55 32 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (54 54 (:REWRITE CLR-DIFFERENTIAL))
 (54 54 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (54 54 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (54 54 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (54 54 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (54 54 (:META CONS-EQUAL-SMART-META))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (37 37 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (37 37 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (37 37 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (35 35 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (26 26 (:TYPE-PRESCRIPTION BOOLEANP))
 (26 26 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (26 26 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (26 2 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (18 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (16 2 (:DEFINITION TRUE-LISTP))
 (14 2 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 4 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (8 2 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (8 2 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (4 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (4 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2 2 (:REWRITE LIST::OPEN-EQUIV))
 (2 2 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2 2 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (2 2 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 )
(CPATH::SYNTAX-QUOTE-DIVERGE-SYNTAX-QUOTE-REMOVE-COMMON-PREFIX-NOOP
 (8335 67 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (4130 67 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (3115 134 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (2957 134 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (2703 2703 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1867 1161 (:REWRITE DEFAULT-CAR))
 (1180 124 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1087 1087 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1072 268 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (1072 268 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (996 301 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (890 502 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (810 810 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (810 810 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (810 810 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (585 585 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (536 536 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (536 536 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (536 536 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (502 502 (:REWRITE CLR-DIFFERENTIAL))
 (502 502 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (502 502 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (502 502 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (502 502 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (502 502 (:META CONS-EQUAL-SMART-META))
 (478 298 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (402 134 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (378 378 (:TYPE-PRESCRIPTION BOOLEANP))
 (374 187 (:REWRITE DEFAULT-+-2))
 (363 244 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (358 268 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (355 268 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (268 268 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (268 268 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (268 268 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (253 134 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (244 244 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (187 187 (:REWRITE DEFAULT-+-1))
 (134 134 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (134 134 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (134 134 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (134 134 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (134 134 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (134 134 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (134 134 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (124 124 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (124 124 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (87 48 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (82 82 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (82 82 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (82 82 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (79 79 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (79 79 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (52 49 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (51 48 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (48 48 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (44 44 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (44 44 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (39 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (27 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (24 6 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (24 3 (:DEFINITION TRUE-LISTP))
 (21 3 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (12 6 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (12 4 (:REWRITE UNICITY-OF-0))
 (9 3 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (8 4 (:DEFINITION FIX))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (6 6 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (6 3 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (3 3 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (3 3 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (3 3 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (1 1 (:REWRITE LIST::EQUAL-CONS-CASES))
 )
(CPATH::SYNTAX-REMOVE-COMMON-PREFIX
 (284 284 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (278 206 (:REWRITE DEFAULT-CDR))
 (249 123 (:REWRITE DEFAULT-+-2))
 (173 102 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (140 123 (:REWRITE DEFAULT-+-1))
 (105 5 (:DEFINITION LENGTH))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (40 10 (:REWRITE COMMUTATIVITY-OF-+))
 (40 10 (:DEFINITION INTEGER-ABS))
 (27 23 (:REWRITE DEFAULT-CAR))
 (16 16 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (16 16 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (14 7 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (13 11 (:REWRITE DEFAULT-<-2))
 (12 11 (:REWRITE DEFAULT-<-1))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (9 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (7 7 (:TYPE-PRESCRIPTION BOOLEANP))
 (7 7 (:REWRITE CLR-DIFFERENTIAL))
 (7 7 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7 7 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7 7 (:META CONS-EQUAL-SMART-META))
 (5 5 (:REWRITE DEFAULT-REALPART))
 (5 5 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE DEFAULT-IMAGPART))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (5 5 (:REWRITE DEFAULT-COERCE-2))
 (5 5 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::PSEUDO-TERMP-SYNTAX-REMOVE-COMMON-PREFIX
 (7740 7740 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6524 5054 (:REWRITE DEFAULT-CDR))
 (5187 1370 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (4446 3282 (:REWRITE DEFAULT-CAR))
 (2509 193 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED-2))
 (2509 193 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED))
 (2479 1370 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (2332 22 (:DEFINITION CPATH::SYNTAX-QUOTE-REMOVE-COMMON-PREFIX))
 (2166 1100 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1982 198 (:REWRITE SYN::PSEUDO-TERMP-OF-CADR))
 (1446 723 (:REWRITE DEFAULT-+-2))
 (1123 1123 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (1108 1108 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (1100 1100 (:REWRITE CLR-DIFFERENTIAL))
 (1100 1100 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1100 1100 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1100 1100 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1100 1100 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1100 1100 (:META CONS-EQUAL-SMART-META))
 (981 195 (:DEFINITION TRUE-LISTP))
 (786 195 (:DEFINITION SYMBOL-LISTP))
 (780 390 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (772 772 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (772 772 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (772 772 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (772 386 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (723 723 (:REWRITE DEFAULT-+-1))
 (676 676 (:TYPE-PRESCRIPTION BOOLEANP))
 (548 58 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (388 10 (:DEFINITION CPATH::REMOVE-COMMON-PREFIX))
 (386 386 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (386 386 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (386 386 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (386 386 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (246 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (238 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (206 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (58 58 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (58 58 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (44 44 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (44 44 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 4 (:DEFINITION FIX))
 )
(CPATH::SYNTAX-DIVERGE-COMMUTE
 (12262 408 (:REWRITE CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-QUOTE-TRUE))
 (10307 83 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (5182 5182 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5161 83 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (4567 3236 (:REWRITE DEFAULT-CDR))
 (3854 165 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (3632 165 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (3534 1918 (:REWRITE DEFAULT-CAR))
 (1711 897 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1364 392 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (1312 328 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (1312 328 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (1016 124 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (996 996 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (994 994 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (994 994 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (897 897 (:REWRITE CLR-DIFFERENTIAL))
 (897 897 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (897 897 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (897 897 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (897 897 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (897 897 (:META CONS-EQUAL-SMART-META))
 (796 796 (:TYPE-PRESCRIPTION BOOLEANP))
 (660 392 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (658 658 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (658 658 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (657 657 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (616 10 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (596 10 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (576 288 (:REWRITE DEFAULT-+-2))
 (516 10 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (495 165 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (460 310 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (412 328 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (409 328 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (337 310 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (328 328 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (328 328 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (328 328 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (316 165 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (288 288 (:REWRITE DEFAULT-+-1))
 (195 165 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (165 165 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (165 165 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (165 165 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (165 165 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (165 165 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (165 165 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (149 149 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (124 124 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (124 124 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (100 100 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (100 100 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (83 83 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (83 83 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (83 83 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (81 81 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (81 81 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (70 10 (:REWRITE FOLD-CONSTS-IN-+))
 (57 57 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (57 57 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (56 56 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (56 56 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (41 41 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (41 27 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (41 27 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (30 10 (:REWRITE UNICITY-OF-0))
 (26 2 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (20 10 (:DEFINITION FIX))
 (18 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (16 4 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (16 2 (:DEFINITION TRUE-LISTP))
 (14 2 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 4 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (7 7 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (6 2 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (5 5 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (4 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (4 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (4 2 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (2 2 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2 2 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (2 2 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (1 1 (:REWRITE LIST::EQUAL-CONS-CASES))
 )
(CPATH::SYNTAX-DIVERGE-SYNTAX-REMOVE-COMMON-PREFIX-NOOP
 (11521 11521 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (11238 8139 (:REWRITE DEFAULT-CDR))
 (8669 4708 (:REWRITE DEFAULT-CAR))
 (8366 77 (:DEFINITION CPATH::SYNTAX-QUOTE-REMOVE-COMMON-PREFIX))
 (5353 2724 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (3764 419 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (3042 928 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (2724 2724 (:REWRITE CLR-DIFFERENTIAL))
 (2724 2724 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2724 2724 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2724 2724 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2724 2724 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2724 2724 (:META CONS-EQUAL-SMART-META))
 (2603 2603 (:TYPE-PRESCRIPTION BOOLEANP))
 (1521 39 (:DEFINITION CPATH::REMOVE-COMMON-PREFIX))
 (1470 928 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1116 558 (:REWRITE DEFAULT-+-2))
 (1060 424 (:REWRITE CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-QUOTE-TRUE))
 (636 636 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DIVERGE))
 (558 558 (:REWRITE DEFAULT-+-1))
 (419 419 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (419 419 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (124 124 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (124 124 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (56 8 (:REWRITE FOLD-CONSTS-IN-+))
 (24 8 (:REWRITE UNICITY-OF-0))
 (16 8 (:DEFINITION FIX))
 (4 1 (:REWRITE LIST::EQUAL-CONS-CASES))
 )
(CPATH::SYNTAX-DIVERGE-WRAPPER
 (1 1 (:TYPE-PRESCRIPTION CPATH::SYNTAX-DIVERGE-WRAPPER))
 )
(CPATH::EQUAL-LEN-IMPLIES-EQUAL-LEN
 (8328 2099 (:REWRITE DEFAULT-CDR))
 (3351 3351 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1678 1052 (:REWRITE DEFAULT-CAR))
 (1116 560 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1080 474 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (562 281 (:REWRITE DEFAULT-+-2))
 (560 560 (:REWRITE CLR-DIFFERENTIAL))
 (560 560 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (560 560 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (560 560 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (560 560 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (560 560 (:META CONS-EQUAL-SMART-META))
 (541 541 (:TYPE-PRESCRIPTION BOOLEANP))
 (450 5 (:REWRITE LIST::CONSP-APPEND))
 (435 5 (:REWRITE LIST::CDR-APPEND-CONSP))
 (289 281 (:REWRITE DEFAULT-+-1))
 (184 184 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (156 156 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (156 156 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (156 156 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (136 10 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED-2))
 (136 10 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED))
 (100 100 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (100 100 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (52 20 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (50 50 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (50 25 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (50 25 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (40 40 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (40 40 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (40 40 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (36 4 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (25 25 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (25 25 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (25 25 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (20 20 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (15 5 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (12 12 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (4 4 (:REWRITE CDR-CONS))
 (4 4 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (4 4 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::SYNTAX-DIVERGE-IMPLIES-EVAL-COMMUTE
 (24263 134 (:DEFINITION CPATH::SYNTAX-QUOTE-DIVERGE))
 (8184 66 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (5587 5587 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5242 3584 (:REWRITE DEFAULT-CDR))
 (4562 2512 (:REWRITE DEFAULT-CAR))
 (4092 66 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (3036 132 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (2904 132 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (2368 1251 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1387 169 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1251 1251 (:REWRITE CLR-DIFFERENTIAL))
 (1251 1251 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1251 1251 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1251 1251 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1251 1251 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1251 1251 (:META CONS-EQUAL-SMART-META))
 (1117 1117 (:TYPE-PRESCRIPTION BOOLEANP))
 (1056 264 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (1056 264 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (884 248 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (792 792 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (792 792 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (792 792 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (528 528 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (528 528 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (528 528 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (420 248 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (396 264 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (396 132 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (360 180 (:REWRITE DEFAULT-+-2))
 (264 264 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (264 264 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (264 264 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (264 264 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (264 264 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (264 264 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (264 132 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (250 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (242 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (210 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (184 26 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (184 26 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (184 26 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (184 26 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (184 26 (:REWRITE SYN::EVAL-CONSTRAINT-10))
 (180 180 (:REWRITE DEFAULT-+-1))
 (169 169 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (169 169 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (132 132 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (132 132 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (132 132 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (132 132 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (132 132 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (132 132 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (132 132 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (130 130 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (130 130 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (66 66 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (66 66 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (66 66 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (66 33 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (58 26 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (40 40 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (40 40 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (40 22 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (33 33 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (33 33 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (33 33 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:DEFINITION FIX))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(APPLY-FOR-DEFEVALUATOR
 (44 2 (:TYPE-PRESCRIPTION RETURN-LAST))
 (12 12 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (12 6 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (12 6 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (6 6 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (2 2 (:TYPE-PRESCRIPTION THROW-NONEXEC-ERROR))
 )
(CPATH::DIVERGE-EVAL
 (77 2 (:DEFINITION ACL2-COUNT))
 (21 10 (:REWRITE DEFAULT-+-2))
 (21 1 (:DEFINITION LENGTH))
 (14 14 (:TYPE-PRESCRIPTION ACL2-COUNT))
 (14 10 (:REWRITE DEFAULT-+-1))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12 1 (:DEFINITION LEN))
 (10 7 (:REWRITE DEFAULT-CDR))
 (8 2 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (8 2 (:REWRITE COMMUTATIVITY-OF-+))
 (8 2 (:DEFINITION INTEGER-ABS))
 (7 6 (:REWRITE DEFAULT-CAR))
 (6 3 (:TYPE-PRESCRIPTION RETURN-LAST))
 (4 2 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (3 3 (:TYPE-PRESCRIPTION THROW-NONEXEC-ERROR))
 (3 3 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION LEN))
 (1 1 (:REWRITE DEFAULT-REALPART))
 (1 1 (:REWRITE DEFAULT-NUMERATOR))
 (1 1 (:REWRITE DEFAULT-IMAGPART))
 (1 1 (:REWRITE DEFAULT-DENOMINATOR))
 (1 1 (:REWRITE DEFAULT-COERCE-2))
 (1 1 (:REWRITE DEFAULT-COERCE-1))
 )
(EVAL-LIST-KWOTE-LST
 (106 3 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (34 4 (:DEFINITION TRUE-LISTP))
 (29 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (28 2 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (27 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (26 26 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (24 19 (:REWRITE DEFAULT-CDR))
 (24 2 (:REWRITE LIST::TRUE-LISTP-FIX))
 (18 18 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (16 9 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (14 11 (:REWRITE DEFAULT-CAR))
 (12 2 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (10 6 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (8 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (8 2 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (7 6 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (6 3 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (5 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (5 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (5 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (4 3 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (3 3 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (3 3 (:REWRITE LIST::OPEN-EQUIV))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (3 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2 2 (:TYPE-PRESCRIPTION LEN))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2 2 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2 2 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2 2 (:REWRITE CLR-DIFFERENTIAL))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2 2 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (1 1 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(TRUE-LIST-FIX-EV-LST)
(EV-COMMUTES-CAR
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(EV-LST-COMMUTES-CDR
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-0)
(CPATH::DIVERGE-EVAL-CONSTRAINT-1
 (248 4 (:REWRITE ALIST::ASSOC-NON-MEMBERP))
 (154 2 (:DEFINITION ASSOC-EQUAL))
 (136 4 (:DEFINITION ALIST::KEYS))
 (104 8 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (32 8 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (32 8 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (20 18 (:REWRITE DEFAULT-CAR))
 (14 14 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (14 12 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (8 8 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (8 8 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (8 8 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (8 8 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (8 8 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (8 4 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (4 4 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (4 4 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (4 2 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (2 2 (:REWRITE CLR-DIFFERENTIAL))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2 2 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2 2 (:META CONS-EQUAL-SMART-META))
 (1 1 (:REWRITE ALIST::KEYQUIV-ASSOC-SUBSTITUTION))
 (1 1 (:REWRITE ALIST::ASSOC-EQUIV-MEMBERP))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-2
 (5 4 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-3
 (20 2 (:DEFINITION PAIRLIS$))
 (19 15 (:REWRITE DEFAULT-CAR))
 (15 12 (:REWRITE DEFAULT-CDR))
 (11 11 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6 2 (:REWRITE EV-LST-COMMUTES-CDR))
 (6 2 (:REWRITE EV-COMMUTES-CAR))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-4
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-5
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-6
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-7
 (5 5 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-8
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (6 3 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 3 (:TYPE-PRESCRIPTION BOOLEANP))
 (3 3 (:REWRITE CLR-DIFFERENTIAL))
 (3 3 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (3 3 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (3 3 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-9
 (8 7 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-10
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-11
 (42 42 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (42 21 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (42 21 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (21 21 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (21 21 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (21 21 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-12
 (16 11 (:REWRITE DEFAULT-CAR))
 (16 10 (:REWRITE DEFAULT-CDR))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::DIVERGE-EVAL-CONSTRAINT-13
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (11 9 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (3 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (3 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (2 2 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::DIVERGE-EVAL-SYNTAX-DIVERGE-IMPLIES-EVAL-COMMUTE
 (248 4 (:REWRITE ALIST::ASSOC-NON-MEMBERP))
 (154 2 (:DEFINITION ASSOC-EQUAL))
 (136 4 (:DEFINITION ALIST::KEYS))
 (108 81 (:REWRITE DEFAULT-CAR))
 (104 8 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (78 64 (:REWRITE DEFAULT-CDR))
 (62 62 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (57 35 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-13))
 (46 23 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (38 38 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (38 19 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (38 19 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (32 8 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (32 8 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (23 23 (:TYPE-PRESCRIPTION BOOLEANP))
 (23 23 (:REWRITE CLR-DIFFERENTIAL))
 (23 23 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (23 23 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (23 23 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (23 23 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (23 23 (:META CONS-EQUAL-SMART-META))
 (19 19 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (19 19 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (19 19 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (16 2 (:DEFINITION PAIRLIS$))
 (10 2 (:DEFINITION KWOTE-LST))
 (9 6 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-4))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (8 8 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (8 8 (:REWRITE CAR-CONS))
 (8 8 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (8 8 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (8 8 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (8 8 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (8 4 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (4 4 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (4 4 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (2 2 (:REWRITE ALIST::KEYQUIV-ASSOC-SUBSTITUTION))
 (2 2 (:REWRITE ALIST::ASSOC-EQUIV-MEMBERP))
 (2 2 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (2 2 (:DEFINITION KWOTE))
 )
(CPATH::*META*-SYNTAX-DIVERGE
 (8104 8 (:DEFINITION CPATH::SYNTAX-DIVERGE))
 (5868 32 (:DEFINITION CPATH::SYNTAX-QUOTE-DIVERGE))
 (3184 128 (:REWRITE CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-QUOTE-TRUE))
 (1984 16 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (1926 4 (:DEFINITION CPATH::SYNTAX-REMOVE-COMMON-PREFIX))
 (1880 120 (:DEFINITION SYN::QUOTEP))
 (1747 1260 (:REWRITE DEFAULT-CDR))
 (1689 1689 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1224 694 (:REWRITE DEFAULT-CAR))
 (992 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (960 64 (:DEFINITION SYN::CONSP))
 (896 128 (:DEFINITION SYN::CDR))
 (880 8 (:DEFINITION CPATH::SYNTAX-QUOTE-REMOVE-COMMON-PREFIX))
 (754 226 (:DEFINITION SYN::LEN))
 (746 394 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (736 32 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (704 32 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (658 66 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (500 100 (:DEFINITION SYN::DEQUOTE))
 (454 36 (:DEFINITION SYN::APPENDP))
 (408 204 (:REWRITE DEFAULT-+-2))
 (394 394 (:REWRITE CLR-DIFFERENTIAL))
 (394 394 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (394 394 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (394 394 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (394 394 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (394 394 (:META CONS-EQUAL-SMART-META))
 (338 338 (:TYPE-PRESCRIPTION BOOLEANP))
 (336 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (320 64 (:DEFINITION SYN::CAR))
 (312 312 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DIVERGE))
 (308 242 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (300 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (276 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (256 64 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (256 64 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (204 204 (:REWRITE DEFAULT-+-1))
 (192 192 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (192 192 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (192 192 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (173 173 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (173 173 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (156 4 (:DEFINITION CPATH::REMOVE-COMMON-PREFIX))
 (149 149 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (149 149 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (128 128 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (128 128 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (128 128 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (96 64 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (96 32 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (93 23 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-9))
 (93 23 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-8))
 (93 23 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-2))
 (93 23 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-12))
 (93 23 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-11))
 (93 23 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-10))
 (66 66 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (66 66 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (64 64 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (64 64 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (64 64 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (64 64 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (64 64 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (64 64 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (64 32 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (55 23 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-3))
 (54 54 (:TYPE-PRESCRIPTION CPATH::SYNTAX-REMOVE-COMMON-PREFIX))
 (51 51 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (51 51 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (43 23 (:REWRITE CPATH::DIVERGE-EVAL-CONSTRAINT-1))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (32 32 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (32 32 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (32 32 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (32 32 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (32 32 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (32 32 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (32 32 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (22 22 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (22 22 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (22 22 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (22 11 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (21 21 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (21 21 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (18 12 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (18 6 (:REWRITE UNICITY-OF-0))
 (16 11 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (13 1 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (12 12 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (12 12 (:DEFINITION SYN::ENQUOTE))
 (12 6 (:DEFINITION FIX))
 (11 11 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (9 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (8 1 (:DEFINITION TRUE-LISTP))
 (7 1 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 2 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (4 1 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (4 1 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1 1 (:REWRITE LIST::OPEN-EQUIV))
 (1 1 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1 1 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (1 1 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1 1 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (1 1 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 )
(CPATH::TRUE-P)
(CPATH::REMOVE-PREFIX)
(CPATH::V0-REMOVE-PREFIX)
(CPATH::V1-REMOVE-PREFIX)
(CPATH::V0-REMOVE-PREFIX-REDUCTION
 (72 6 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (32 32 (:REWRITE DEFAULT-CAR))
 (24 15 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (20 20 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (15 15 (:REWRITE CLR-DIFFERENTIAL))
 (15 15 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (15 15 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (15 15 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (15 15 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (15 15 (:META CONS-EQUAL-SMART-META))
 (9 9 (:TYPE-PRESCRIPTION BOOLEANP))
 (6 6 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (6 6 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::EQUIV-IMPLIES-EQUAL-V0-REMOVE-PREFIX-2
 (410 12 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (150 12 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (144 12 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (126 10 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (123 123 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (100 12 (:DEFINITION TRUE-LISTP))
 (78 70 (:REWRITE DEFAULT-CDR))
 (60 60 (:REWRITE DEFAULT-CAR))
 (55 55 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (52 10 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (47 25 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (46 11 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (42 11 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (31 31 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (26 26 (:REWRITE CLR-DIFFERENTIAL))
 (26 26 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (26 26 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (26 26 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (26 26 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (26 26 (:META CONS-EQUAL-SMART-META))
 (21 11 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (19 19 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (19 19 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (19 19 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (18 9 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (18 9 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (16 9 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (12 12 (:TYPE-PRESCRIPTION BOOLEANP))
 (12 12 (:REWRITE LIST::OPEN-EQUIV))
 (12 12 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (12 12 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (12 12 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (10 10 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (10 10 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (10 10 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (10 10 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (10 10 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (10 10 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (10 10 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (9 9 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::V1-REMOVE-PREFIX-REDUCTION
 (72 6 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (32 32 (:REWRITE DEFAULT-CAR))
 (24 15 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (20 20 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (15 15 (:REWRITE CLR-DIFFERENTIAL))
 (15 15 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (15 15 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (15 15 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (15 15 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (15 15 (:META CONS-EQUAL-SMART-META))
 (9 9 (:TYPE-PRESCRIPTION BOOLEANP))
 (6 6 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (6 6 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::EQUIV-IMPLIES-EQUIV-V1-REMOVE-PREFIX-2
 (477 15 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (157 15 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (131 11 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (119 119 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (99 11 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (98 12 (:DEFINITION TRUE-LISTP))
 (84 7 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (58 58 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (58 48 (:REWRITE DEFAULT-CDR))
 (56 12 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (48 25 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (47 12 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (36 36 (:REWRITE DEFAULT-CAR))
 (35 35 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (35 35 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (34 34 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (25 14 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (21 14 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (19 19 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (19 19 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (19 19 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (16 16 (:TYPE-PRESCRIPTION LEN))
 (16 8 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (16 8 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (15 15 (:REWRITE LIST::OPEN-EQUIV))
 (15 15 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (15 8 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (14 14 (:REWRITE CLR-DIFFERENTIAL))
 (14 14 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (14 14 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (14 14 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (14 14 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (14 14 (:META CONS-EQUAL-SMART-META))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (11 11 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (11 11 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (11 11 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (11 11 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (8 8 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (7 7 (:TYPE-PRESCRIPTION BOOLEANP))
 (7 7 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (7 7 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::LIST-FIX-V1-REMOVE-PREFIX
 (1730 57 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (592 16 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (478 16 (:REWRITE LIST::OPEN-EQUIV))
 (440 440 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (406 379 (:REWRITE DEFAULT-CDR))
 (270 270 (:REWRITE DEFAULT-CAR))
 (201 129 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (198 16 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (154 14 (:REWRITE LIST::TRUE-LISTP-FIX))
 (130 10 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (129 129 (:REWRITE CLR-DIFFERENTIAL))
 (129 129 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (129 129 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (129 129 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (129 129 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (129 129 (:META CONS-EQUAL-SMART-META))
 (72 72 (:TYPE-PRESCRIPTION BOOLEANP))
 (64 16 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (58 16 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (57 57 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (57 57 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (48 16 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (32 32 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (32 32 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (32 32 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (32 32 (:TYPE-PRESCRIPTION LEN))
 (26 16 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (22 16 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (22 16 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (20 10 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (16 16 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (16 16 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (16 16 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (16 16 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (16 16 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (16 10 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (12 12 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (10 10 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (10 10 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::V0-REMOVE-PREFIX-APPEND
 (546 26 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (220 112 (:REWRITE DEFAULT-CAR))
 (204 96 (:REWRITE DEFAULT-CDR))
 (178 178 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (178 89 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (178 89 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (115 115 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (89 89 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (84 84 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (54 54 (:REWRITE CLR-DIFFERENTIAL))
 (54 54 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (54 54 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (54 54 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (54 54 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (54 54 (:META CONS-EQUAL-SMART-META))
 (54 18 (:REWRITE LIST::CONSP-APPEND))
 (32 32 (:TYPE-PRESCRIPTION BOOLEANP))
 (26 26 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (26 26 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (12 6 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (12 6 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 )
(CPATH::V1-REMOVE-PREFIX-APPEND
 (585 26 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (230 104 (:REWRITE DEFAULT-CAR))
 (218 92 (:REWRITE DEFAULT-CDR))
 (204 204 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (204 102 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (204 102 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (191 56 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (125 125 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (102 102 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (98 98 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (63 21 (:REWRITE LIST::CONSP-APPEND))
 (56 56 (:REWRITE CLR-DIFFERENTIAL))
 (56 56 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (56 56 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (56 56 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (56 56 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (56 56 (:META CONS-EQUAL-SMART-META))
 (37 37 (:TYPE-PRESCRIPTION BOOLEANP))
 (26 26 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (26 26 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (14 7 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (14 7 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 )
(CPATH::NOT-V0-IMPLIES-NIL-V1-REMOVE-PREFIX
 (108 9 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (46 46 (:REWRITE DEFAULT-CAR))
 (30 30 (:REWRITE DEFAULT-CDR))
 (27 18 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (21 21 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (18 18 (:REWRITE CLR-DIFFERENTIAL))
 (18 18 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (18 18 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (18 18 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (18 18 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (18 18 (:META CONS-EQUAL-SMART-META))
 (9 9 (:TYPE-PRESCRIPTION BOOLEANP))
 (9 9 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (9 9 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::TAIL-P)
(CPATH::V1-REMOVE-PREFIX-IS-TAIL-X
 (381 14 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (120 10 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (110 12 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (102 9 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (89 89 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (89 11 (:REWRITE CPATH::NOT-V0-IMPLIES-NIL-V1-REMOVE-PREFIX))
 (88 9 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (66 66 (:REWRITE DEFAULT-CAR))
 (64 8 (:DEFINITION TRUE-LISTP))
 (63 55 (:REWRITE DEFAULT-CDR))
 (45 9 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (41 41 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (35 9 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (33 17 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (30 20 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (29 29 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (29 29 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (28 28 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (20 20 (:REWRITE CLR-DIFFERENTIAL))
 (20 20 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (20 20 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (20 20 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (20 20 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (20 20 (:META CONS-EQUAL-SMART-META))
 (16 11 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (15 15 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (15 15 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (15 15 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (12 12 (:TYPE-PRESCRIPTION LEN))
 (12 12 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (12 6 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (10 10 (:TYPE-PRESCRIPTION BOOLEANP))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (9 9 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (9 9 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (9 9 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (9 9 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (9 6 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (9 6 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (6 6 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::TAIL-P-IMPLIES
 (320 12 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (242 242 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (180 15 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (142 12 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (137 93 (:REWRITE DEFAULT-CDR))
 (114 3 (:REWRITE CPATH::LEN-LARGER-WHEN-DOMINATED))
 (87 11 (:DEFINITION TRUE-LISTP))
 (84 49 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (68 34 (:REWRITE DEFAULT-+-2))
 (66 15 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (55 55 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (54 15 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (48 4 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (47 47 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (47 47 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (43 22 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (42 2 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (35 35 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (35 35 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (35 35 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (34 34 (:REWRITE DEFAULT-+-1))
 (28 28 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (28 28 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (26 13 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (25 16 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (22 13 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (22 12 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (22 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (22 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (19 19 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (19 19 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (19 19 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (19 19 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (15 15 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (15 15 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (15 15 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (14 14 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (14 2 (:REWRITE FOLD-CONSTS-IN-+))
 (13 13 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (12 12 (:REWRITE LIST::OPEN-EQUIV))
 (12 12 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (8 4 (:REWRITE DEFAULT-<-1))
 (7 4 (:REWRITE DEFAULT-<-2))
 (6 2 (:REWRITE UNICITY-OF-0))
 (4 2 (:DEFINITION FIX))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 )
(CPATH::SYNTAX-QUOTE-DOMINATES-P-FN
 (662 310 (:REWRITE DEFAULT-+-2))
 (566 166 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (533 420 (:REWRITE DEFAULT-CDR))
 (479 479 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (374 310 (:REWRITE DEFAULT-+-1))
 (278 166 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (226 3 (:LINEAR ACL2-COUNT-WHEN-CONSP-LINEAR))
 (226 3 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 (168 8 (:DEFINITION LENGTH))
 (118 103 (:REWRITE DEFAULT-CAR))
 (64 16 (:DEFINITION INTEGER-ABS))
 (21 18 (:REWRITE DEFAULT-<-2))
 (20 18 (:REWRITE DEFAULT-<-1))
 (16 16 (:REWRITE DEFAULT-UNARY-MINUS))
 (16 16 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (16 16 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (16 16 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (16 2 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (14 8 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (8 8 (:REWRITE DEFAULT-REALPART))
 (8 8 (:REWRITE DEFAULT-NUMERATOR))
 (8 8 (:REWRITE DEFAULT-IMAGPART))
 (8 8 (:REWRITE DEFAULT-DENOMINATOR))
 (8 8 (:REWRITE DEFAULT-COERCE-2))
 (8 8 (:REWRITE DEFAULT-COERCE-1))
 (8 8 (:REWRITE CLR-DIFFERENTIAL))
 (8 8 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (8 8 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (8 8 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (8 8 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (8 8 (:META CONS-EQUAL-SMART-META))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP))
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::SYNTAX-QUOTE-DOMINATES-P-IRRELEVANT
 (726 726 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (679 498 (:REWRITE DEFAULT-CDR))
 (530 152 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (344 206 (:REWRITE DEFAULT-CAR))
 (258 152 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (250 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (242 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (228 114 (:REWRITE DEFAULT-+-2))
 (210 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (168 14 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (114 114 (:REWRITE DEFAULT-+-1))
 (112 14 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (78 78 (:REWRITE CLR-DIFFERENTIAL))
 (78 78 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (78 78 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (78 78 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (78 78 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (78 78 (:META CONS-EQUAL-SMART-META))
 (60 60 (:TYPE-PRESCRIPTION BOOLEANP))
 (56 14 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (56 14 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (42 14 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (28 28 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (28 28 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (28 28 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (28 14 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (20 20 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (20 20 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (20 20 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (14 14 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (14 14 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (14 14 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (14 14 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (14 14 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (14 14 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (14 14 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (14 14 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (14 14 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (14 14 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (14 14 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:DEFINITION FIX))
 )
(CPATH::DOMINATES-APPEND-2
 (1611 1611 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1566 783 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (1566 783 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (1331 84 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1149 579 (:REWRITE DEFAULT-CDR))
 (1145 1145 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (958 181 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (840 225 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (783 783 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (698 698 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (678 6 (:REWRITE CPATH::TAIL-P-IMPLIES))
 (660 6 (:DEFINITION CPATH::TAIL-P))
 (603 11 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (525 218 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (515 30 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (506 6 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (397 20 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (395 224 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (380 73 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (366 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (354 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (306 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (304 152 (:REWRITE DEFAULT-+-2))
 (268 178 (:REWRITE DEFAULT-CAR))
 (253 218 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (186 9 (:REWRITE CPATH::NOT-V0-IMPLIES-NIL-V1-REMOVE-PREFIX))
 (154 152 (:REWRITE DEFAULT-+-1))
 (137 78 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (137 6 (:REWRITE CPATH::LEN-LARGER-WHEN-DOMINATED))
 (129 73 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (118 10 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (105 35 (:REWRITE LIST::CONSP-APPEND))
 (87 87 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (87 87 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (84 84 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (84 84 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (84 84 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (82 82 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (82 82 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (77 6 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (74 74 (:REWRITE CLR-DIFFERENTIAL))
 (74 74 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (74 74 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (74 74 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (74 74 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (74 74 (:META CONS-EQUAL-SMART-META))
 (72 9 (:DEFINITION TRUE-LISTP))
 (46 1 (:REWRITE LIST::LEN-APPEND))
 (42 42 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (42 42 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (42 6 (:REWRITE FOLD-CONSTS-IN-+))
 (41 41 (:TYPE-PRESCRIPTION BOOLEANP))
 (41 41 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (41 41 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (38 20 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (36 18 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (30 30 (:TYPE-PRESCRIPTION CPATH::TAIL-P))
 (28 14 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (20 20 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (19 10 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (18 18 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (18 10 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (18 9 (:REWRITE DEFAULT-<-2))
 (18 9 (:REWRITE DEFAULT-<-1))
 (18 6 (:REWRITE UNICITY-OF-0))
 (16 4 (:REWRITE CPATH::DOMINATES-OF-APPEND-SELF-ONE))
 (12 6 (:DEFINITION FIX))
 (12 4 (:REWRITE BAG::APPEND-COMMUTATIVE-INSIDE-PERM))
 (10 10 (:REWRITE LIST::OPEN-EQUIV))
 (10 10 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (10 5 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (6 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-APPEND-AND-APPEND))
 (5 1 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-APPEND-SELF-ONE))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::SYNTAX-QUOTE-DOMINATES-IMPLIES-DOMINATES
 (1538 892 (:REWRITE DEFAULT-CDR))
 (1471 39 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (1414 1414 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1391 21 (:DEFINITION SYN::CONSP-REC))
 (1279 71 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (895 250 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (600 376 (:REWRITE DEFAULT-CAR))
 (499 68 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (435 250 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (400 38 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (390 195 (:REWRITE DEFAULT-+-2))
 (330 184 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (314 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (307 21 (:DEFINITION SYN::APPENDP))
 (304 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (303 303 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (299 73 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (264 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (195 195 (:REWRITE DEFAULT-+-1))
 (184 184 (:REWRITE CLR-DIFFERENTIAL))
 (184 184 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (184 184 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (184 184 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (184 184 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (184 184 (:META CONS-EQUAL-SMART-META))
 (161 161 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (146 146 (:TYPE-PRESCRIPTION BOOLEANP))
 (115 64 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (112 64 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (72 72 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (72 72 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (71 71 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (71 71 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (71 71 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (71 71 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (71 71 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (47 47 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (47 47 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (42 42 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (42 42 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (41 41 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (41 41 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (41 41 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (41 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (30 30 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (30 30 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (30 30 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (26 26 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (25 3 (:DEFINITION TRUE-LISTP))
 (20 5 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (15 5 (:REWRITE UNICITY-OF-0))
 (13 6 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (12 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-TWO))
 (10 5 (:DEFINITION FIX))
 (7 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (7 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (1 1 (:REWRITE CDR-CONS))
 )
(CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-FN)
(CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-IRRELEVANT
 (1380 92 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (782 552 (:REWRITE DEFAULT-+-2))
 (690 552 (:REWRITE DEFAULT-+-1))
 (368 276 (:REWRITE DEFAULT-*-2))
 (276 276 (:REWRITE DEFAULT-*-1))
 (230 230 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (230 184 (:REWRITE DEFAULT-UNARY-MINUS))
 (199 199 (:REWRITE CLR-DIFFERENTIAL))
 (199 199 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (199 199 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (199 199 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (199 199 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (199 199 (:META CONS-EQUAL-SMART-META))
 (138 138 (:REWRITE DEFAULT-<-2))
 (138 138 (:REWRITE DEFAULT-<-1))
 (120 72 (:REWRITE DEFAULT-CAR))
 (92 92 (:REWRITE BAG::ZP-NFIX))
 (92 92 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (92 92 (:DEFINITION IFIX))
 (85 85 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (58 34 (:REWRITE DEFAULT-CDR))
 (46 46 (:REWRITE DEFAULT-NUMERATOR))
 (46 46 (:REWRITE DEFAULT-DENOMINATOR))
 (24 24 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FROM-ALIST-FN)
(CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FROM-ALIST-IRRELEVANT
 (780 52 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (442 312 (:REWRITE DEFAULT-+-2))
 (390 312 (:REWRITE DEFAULT-+-1))
 (208 156 (:REWRITE DEFAULT-*-2))
 (156 156 (:REWRITE DEFAULT-*-1))
 (150 112 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (130 130 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (130 104 (:REWRITE DEFAULT-UNARY-MINUS))
 (112 112 (:REWRITE CLR-DIFFERENTIAL))
 (112 112 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (112 112 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (112 112 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (112 112 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (112 112 (:META CONS-EQUAL-SMART-META))
 (78 78 (:REWRITE DEFAULT-<-2))
 (78 78 (:REWRITE DEFAULT-<-1))
 (70 42 (:REWRITE DEFAULT-CAR))
 (52 52 (:REWRITE BAG::ZP-NFIX))
 (52 52 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (52 52 (:DEFINITION IFIX))
 (49 49 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (32 18 (:REWRITE DEFAULT-CDR))
 (26 26 (:REWRITE DEFAULT-NUMERATOR))
 (26 26 (:REWRITE DEFAULT-DENOMINATOR))
 (16 16 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(CPATH::PSEUDO-TERMP-HYP-FOR-SHOW-SYNTAX-CONSP-FROM-ALIST
 (450 30 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (255 180 (:REWRITE DEFAULT-+-2))
 (225 180 (:REWRITE DEFAULT-+-1))
 (120 90 (:REWRITE DEFAULT-*-2))
 (90 90 (:REWRITE DEFAULT-*-1))
 (83 64 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (75 75 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (75 60 (:REWRITE DEFAULT-UNARY-MINUS))
 (64 64 (:REWRITE CLR-DIFFERENTIAL))
 (64 64 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (64 64 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (64 64 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (64 64 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (64 64 (:META CONS-EQUAL-SMART-META))
 (45 45 (:REWRITE DEFAULT-<-2))
 (45 45 (:REWRITE DEFAULT-<-1))
 (40 24 (:REWRITE DEFAULT-CAR))
 (30 30 (:REWRITE BAG::ZP-NFIX))
 (30 30 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (30 30 (:DEFINITION IFIX))
 (29 29 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (18 10 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE DEFAULT-NUMERATOR))
 (15 15 (:REWRITE DEFAULT-DENOMINATOR))
 (10 10 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (8 8 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-TO-HYP-FOR
 (1440 96 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (816 576 (:REWRITE DEFAULT-+-2))
 (720 576 (:REWRITE DEFAULT-+-1))
 (384 288 (:REWRITE DEFAULT-*-2))
 (288 288 (:REWRITE DEFAULT-*-1))
 (268 206 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (240 240 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (240 192 (:REWRITE DEFAULT-UNARY-MINUS))
 (206 206 (:REWRITE CLR-DIFFERENTIAL))
 (206 206 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (206 206 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (206 206 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (206 206 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (206 206 (:META CONS-EQUAL-SMART-META))
 (144 144 (:REWRITE DEFAULT-<-2))
 (144 144 (:REWRITE DEFAULT-<-1))
 (125 75 (:REWRITE DEFAULT-CAR))
 (96 96 (:REWRITE BAG::ZP-NFIX))
 (96 96 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (96 96 (:DEFINITION IFIX))
 (89 89 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (61 36 (:REWRITE DEFAULT-CDR))
 (48 48 (:REWRITE DEFAULT-NUMERATOR))
 (48 48 (:REWRITE DEFAULT-DENOMINATOR))
 (26 26 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS
 (960 64 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (544 384 (:REWRITE DEFAULT-+-2))
 (480 384 (:REWRITE DEFAULT-+-1))
 (256 192 (:REWRITE DEFAULT-*-2))
 (228 162 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (192 192 (:REWRITE DEFAULT-*-1))
 (162 162 (:REWRITE CLR-DIFFERENTIAL))
 (162 162 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (162 162 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (162 162 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (162 162 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (162 162 (:META CONS-EQUAL-SMART-META))
 (160 160 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (160 128 (:REWRITE DEFAULT-UNARY-MINUS))
 (142 2 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (139 97 (:REWRITE DEFAULT-CAR))
 (136 2 (:DEFINITION SYN::CONSP-REC))
 (96 96 (:REWRITE DEFAULT-<-2))
 (96 96 (:REWRITE DEFAULT-<-1))
 (77 77 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (64 64 (:REWRITE BAG::ZP-NFIX))
 (64 64 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (64 64 (:DEFINITION IFIX))
 (62 12 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (62 12 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (62 12 (:REWRITE SYN::EVAL-CONSTRAINT-10))
 (56 10 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (56 10 (:REWRITE SYN::EVAL-CONSTRAINT-2))
 (50 31 (:REWRITE DEFAULT-CDR))
 (44 44 (:TYPE-PRESCRIPTION BOOLEANP))
 (38 2 (:DEFINITION SYN::QUOTEP))
 (38 2 (:DEFINITION SYN::CONSP))
 (32 32 (:REWRITE DEFAULT-NUMERATOR))
 (32 32 (:REWRITE DEFAULT-DENOMINATOR))
 (30 6 (:DEFINITION SYN::LEN))
 (30 2 (:DEFINITION SYN::APPENDP))
 (28 28 (:TYPE-PRESCRIPTION SYN::LEN))
 (20 10 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (16 16 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (16 10 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (10 2 (:DEFINITION SYN::DEQUOTE))
 )
(CPATH::SHOW-SYNTAX-CONSP-FN)
(CPATH::SHOW-SYNTAX-CONSP-IRRELEVANT
 (1060 10 (:DEFINITION BINARY-LOGAND))
 (570 10 (:DEFINITION FLOOR))
 (522 2 (:DEFINITION CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-FN))
 (300 20 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (240 50 (:REWRITE COMMUTATIVITY-OF-+))
 (224 4 (:DEFINITION SYN::CONSP-REC))
 (170 120 (:REWRITE DEFAULT-+-2))
 (150 120 (:REWRITE DEFAULT-+-1))
 (90 10 (:REWRITE ZIP-OPEN))
 (80 60 (:REWRITE DEFAULT-*-2))
 (63 63 (:REWRITE CLR-DIFFERENTIAL))
 (63 63 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (63 63 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (63 63 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (63 63 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (63 63 (:META CONS-EQUAL-SMART-META))
 (60 60 (:REWRITE DEFAULT-*-1))
 (60 20 (:REWRITE UNICITY-OF-0))
 (60 20 (:REWRITE COMMUTATIVITY-OF-*))
 (60 10 (:DEFINITION EVENP))
 (60 4 (:DEFINITION SYN::QUOTEP))
 (60 4 (:DEFINITION SYN::CONSP))
 (60 4 (:DEFINITION SYN::APPENDP))
 (57 31 (:REWRITE DEFAULT-CAR))
 (56 56 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (50 50 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (50 40 (:REWRITE DEFAULT-UNARY-MINUS))
 (40 20 (:DEFINITION FIX))
 (36 12 (:DEFINITION SYN::LEN))
 (35 26 (:REWRITE DEFAULT-CDR))
 (30 30 (:REWRITE DEFAULT-<-2))
 (30 30 (:REWRITE DEFAULT-<-1))
 (24 24 (:TYPE-PRESCRIPTION SYN::LEN))
 (22 22 (:TYPE-PRESCRIPTION BOOLEANP))
 (20 20 (:REWRITE BAG::ZP-NFIX))
 (20 20 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (20 20 (:DEFINITION IFIX))
 (20 4 (:DEFINITION SYN::DEQUOTE))
 (10 10 (:REWRITE DEFAULT-NUMERATOR))
 (10 10 (:REWRITE DEFAULT-DENOMINATOR))
 )
(CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN)
(CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-IRRELEVANT
 (522 2 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FROM-ALIST-FN))
 (510 2 (:DEFINITION SYN::TS-CONSP))
 (424 4 (:DEFINITION BINARY-LOGAND))
 (228 4 (:DEFINITION FLOOR))
 (120 8 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (112 2 (:DEFINITION SYN::CONSP-REC))
 (96 20 (:REWRITE COMMUTATIVITY-OF-+))
 (68 48 (:REWRITE DEFAULT-+-2))
 (60 48 (:REWRITE DEFAULT-+-1))
 (48 48 (:TYPE-PRESCRIPTION BINARY-LOGAND))
 (40 26 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (36 4 (:REWRITE ZIP-OPEN))
 (32 24 (:REWRITE DEFAULT-*-2))
 (30 2 (:DEFINITION SYN::QUOTEP))
 (30 2 (:DEFINITION SYN::CONSP))
 (30 2 (:DEFINITION SYN::APPENDP))
 (26 26 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (26 26 (:REWRITE CLR-DIFFERENTIAL))
 (26 26 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (26 26 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (26 26 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (26 26 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (26 26 (:META CONS-EQUAL-SMART-META))
 (26 14 (:REWRITE DEFAULT-CAR))
 (24 24 (:REWRITE DEFAULT-*-1))
 (24 8 (:REWRITE UNICITY-OF-0))
 (24 8 (:REWRITE COMMUTATIVITY-OF-*))
 (24 4 (:DEFINITION EVENP))
 (20 20 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (20 16 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 6 (:DEFINITION SYN::LEN))
 (16 12 (:REWRITE DEFAULT-CDR))
 (16 8 (:DEFINITION FIX))
 (12 12 (:TYPE-PRESCRIPTION SYN::LEN))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (10 10 (:TYPE-PRESCRIPTION BOOLEANP))
 (10 2 (:DEFINITION SYN::DEQUOTE))
 (8 8 (:REWRITE BAG::ZP-NFIX))
 (8 8 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (8 8 (:DEFINITION IFIX))
 (4 4 (:REWRITE DEFAULT-NUMERATOR))
 (4 4 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:DEFINITION NOT))
 )
(CPATH::SHOW-SYNTAX-CONSP-TO-HYP-FOR
 (636 6 (:DEFINITION BINARY-LOGAND))
 (342 6 (:DEFINITION FLOOR))
 (180 12 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (144 30 (:REWRITE COMMUTATIVITY-OF-+))
 (102 72 (:REWRITE DEFAULT-+-2))
 (90 72 (:REWRITE DEFAULT-+-1))
 (60 39 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (54 6 (:REWRITE ZIP-OPEN))
 (48 36 (:REWRITE DEFAULT-*-2))
 (39 39 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (39 39 (:REWRITE CLR-DIFFERENTIAL))
 (39 39 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (39 39 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (39 39 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (39 39 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (39 39 (:META CONS-EQUAL-SMART-META))
 (39 21 (:REWRITE DEFAULT-CAR))
 (36 36 (:REWRITE DEFAULT-*-1))
 (36 12 (:REWRITE UNICITY-OF-0))
 (36 12 (:REWRITE COMMUTATIVITY-OF-*))
 (36 6 (:DEFINITION EVENP))
 (30 30 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (30 24 (:REWRITE DEFAULT-UNARY-MINUS))
 (27 9 (:DEFINITION SYN::LEN))
 (24 18 (:REWRITE DEFAULT-CDR))
 (24 12 (:DEFINITION FIX))
 (18 18 (:REWRITE DEFAULT-<-2))
 (18 18 (:REWRITE DEFAULT-<-1))
 (15 15 (:TYPE-PRESCRIPTION BOOLEANP))
 (12 12 (:REWRITE BAG::ZP-NFIX))
 (12 12 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (12 12 (:DEFINITION IFIX))
 (6 6 (:REWRITE DEFAULT-NUMERATOR))
 (6 6 (:REWRITE DEFAULT-DENOMINATOR))
 (6 6 (:DEFINITION NOT))
 )
(CPATH::PSEUDO-TERMP-HYP-FOR-SHOW-SYNTAX-CONSP
 (261 1 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FROM-ALIST-FN))
 (255 1 (:DEFINITION SYN::TS-CONSP))
 (212 2 (:DEFINITION BINARY-LOGAND))
 (114 2 (:DEFINITION FLOOR))
 (60 4 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (56 1 (:DEFINITION SYN::CONSP-REC))
 (48 10 (:REWRITE COMMUTATIVITY-OF-+))
 (34 24 (:REWRITE DEFAULT-+-2))
 (30 24 (:REWRITE DEFAULT-+-1))
 (24 24 (:TYPE-PRESCRIPTION BINARY-LOGAND))
 (20 13 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (18 2 (:REWRITE ZIP-OPEN))
 (16 12 (:REWRITE DEFAULT-*-2))
 (15 1 (:DEFINITION SYN::QUOTEP))
 (15 1 (:DEFINITION SYN::CONSP))
 (15 1 (:DEFINITION SYN::APPENDP))
 (13 13 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (13 13 (:REWRITE CLR-DIFFERENTIAL))
 (13 13 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (13 13 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (13 13 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (13 13 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (13 13 (:META CONS-EQUAL-SMART-META))
 (13 7 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE DEFAULT-*-1))
 (12 4 (:REWRITE UNICITY-OF-0))
 (12 4 (:REWRITE COMMUTATIVITY-OF-*))
 (12 2 (:DEFINITION EVENP))
 (10 10 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (10 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (9 3 (:DEFINITION SYN::LEN))
 (8 6 (:REWRITE DEFAULT-CDR))
 (8 4 (:DEFINITION FIX))
 (6 6 (:TYPE-PRESCRIPTION SYN::LEN))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (5 5 (:TYPE-PRESCRIPTION BOOLEANP))
 (5 1 (:DEFINITION SYN::DEQUOTE))
 (4 4 (:REWRITE BAG::ZP-NFIX))
 (4 4 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (4 4 (:DEFINITION IFIX))
 (2 2 (:REWRITE DEFAULT-NUMERATOR))
 (2 2 (:REWRITE DEFAULT-DENOMINATOR))
 (1 1 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 )
(CPATH::SHOW-SYNTAX-CONSP-WORKS
 (783 3 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FROM-ALIST-FN))
 (765 3 (:DEFINITION SYN::TS-CONSP))
 (636 6 (:DEFINITION BINARY-LOGAND))
 (342 6 (:DEFINITION FLOOR))
 (180 12 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (144 30 (:REWRITE COMMUTATIVITY-OF-+))
 (102 72 (:REWRITE DEFAULT-+-2))
 (90 72 (:REWRITE DEFAULT-+-1))
 (90 51 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (72 72 (:TYPE-PRESCRIPTION BINARY-LOGAND))
 (60 35 (:REWRITE DEFAULT-CAR))
 (54 6 (:REWRITE ZIP-OPEN))
 (51 51 (:REWRITE CLR-DIFFERENTIAL))
 (51 51 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (51 51 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (51 51 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (51 51 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (51 51 (:META CONS-EQUAL-SMART-META))
 (48 36 (:REWRITE DEFAULT-*-2))
 (41 41 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (36 36 (:REWRITE DEFAULT-*-1))
 (36 12 (:REWRITE UNICITY-OF-0))
 (36 12 (:REWRITE COMMUTATIVITY-OF-*))
 (36 6 (:DEFINITION EVENP))
 (32 6 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (32 6 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (32 6 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (32 6 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (32 6 (:REWRITE SYN::EVAL-CONSTRAINT-10))
 (30 30 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (30 24 (:REWRITE DEFAULT-UNARY-MINUS))
 (27 27 (:TYPE-PRESCRIPTION BOOLEANP))
 (27 9 (:DEFINITION SYN::LEN))
 (24 18 (:REWRITE DEFAULT-CDR))
 (24 12 (:DEFINITION FIX))
 (18 18 (:REWRITE DEFAULT-<-2))
 (18 18 (:REWRITE DEFAULT-<-1))
 (13 6 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (12 12 (:REWRITE BAG::ZP-NFIX))
 (12 12 (:REWRITE BAG::NOT-ZP-NFIX-REDUCTION))
 (12 12 (:DEFINITION IFIX))
 (6 6 (:REWRITE DEFAULT-NUMERATOR))
 (6 6 (:REWRITE DEFAULT-DENOMINATOR))
 (6 5 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 )
(CPATH::SHOW-SYNTAX-DOMINATES-P-FN
 (284 284 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (274 202 (:REWRITE DEFAULT-CDR))
 (249 123 (:REWRITE DEFAULT-+-2))
 (173 102 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (140 123 (:REWRITE DEFAULT-+-1))
 (105 5 (:DEFINITION LENGTH))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (40 10 (:REWRITE COMMUTATIVITY-OF-+))
 (40 10 (:DEFINITION INTEGER-ABS))
 (23 19 (:REWRITE DEFAULT-CAR))
 (16 16 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (16 16 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (16 16 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (14 7 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (13 11 (:REWRITE DEFAULT-<-2))
 (12 11 (:REWRITE DEFAULT-<-1))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (9 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (7 7 (:TYPE-PRESCRIPTION BOOLEANP))
 (7 7 (:REWRITE CLR-DIFFERENTIAL))
 (7 7 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7 7 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7 7 (:META CONS-EQUAL-SMART-META))
 (5 5 (:REWRITE DEFAULT-REALPART))
 (5 5 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE DEFAULT-IMAGPART))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (5 5 (:REWRITE DEFAULT-COERCE-2))
 (5 5 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::IFF-IMPLIES-IFF-SHOW-SYNTAX-DOMINATES-P-FN-2
 (1745 1745 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1581 1212 (:REWRITE DEFAULT-CDR))
 (1045 593 (:REWRITE DEFAULT-CAR))
 (767 218 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (734 377 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (377 377 (:REWRITE CLR-DIFFERENTIAL))
 (377 377 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (377 377 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (377 377 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (377 377 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (377 377 (:META CONS-EQUAL-SMART-META))
 (363 218 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (357 357 (:TYPE-PRESCRIPTION BOOLEANP))
 (334 42 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (306 153 (:REWRITE DEFAULT-+-2))
 (244 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (240 20 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (236 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (204 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (153 153 (:REWRITE DEFAULT-+-1))
 (80 20 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (80 20 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (60 20 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (42 42 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (42 42 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (40 40 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (40 40 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (40 40 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (40 20 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (38 38 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (38 38 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (38 38 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (20 20 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (20 20 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (20 20 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (20 20 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (20 20 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (20 20 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (20 20 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (20 20 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (20 20 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:DEFINITION FIX))
 )
(CPATH::SHOW-SYNTAX-DOMINATES-P-IRRELEVANT
 (4010 33 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (2151 2151 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1937 1477 (:REWRITE DEFAULT-CDR))
 (1340 758 (:REWRITE DEFAULT-CAR))
 (849 441 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (809 230 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (447 56 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (441 441 (:REWRITE CLR-DIFFERENTIAL))
 (441 441 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (441 441 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (441 441 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (441 441 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (441 441 (:META CONS-EQUAL-SMART-META))
 (408 408 (:TYPE-PRESCRIPTION BOOLEANP))
 (396 33 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (381 230 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (318 159 (:REWRITE DEFAULT-+-2))
 (244 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (236 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (204 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (159 159 (:REWRITE DEFAULT-+-1))
 (132 33 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (132 33 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (99 33 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (66 66 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (66 66 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (66 66 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (66 33 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (56 56 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (56 56 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (42 42 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (42 42 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (42 42 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (33 33 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (33 33 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (33 33 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (33 33 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (33 33 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (33 33 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (33 33 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (33 33 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (33 33 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (33 33 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:DEFINITION FIX))
 )
(CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN
 (284 284 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (274 202 (:REWRITE DEFAULT-CDR))
 (249 123 (:REWRITE DEFAULT-+-2))
 (173 102 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (140 123 (:REWRITE DEFAULT-+-1))
 (105 5 (:DEFINITION LENGTH))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (40 10 (:REWRITE COMMUTATIVITY-OF-+))
 (40 10 (:DEFINITION INTEGER-ABS))
 (23 19 (:REWRITE DEFAULT-CAR))
 (16 16 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (16 16 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (16 16 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (14 7 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (13 11 (:REWRITE DEFAULT-<-2))
 (12 11 (:REWRITE DEFAULT-<-1))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (9 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (7 7 (:TYPE-PRESCRIPTION BOOLEANP))
 (7 7 (:REWRITE CLR-DIFFERENTIAL))
 (7 7 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7 7 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7 7 (:META CONS-EQUAL-SMART-META))
 (5 5 (:REWRITE DEFAULT-REALPART))
 (5 5 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE DEFAULT-IMAGPART))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (5 5 (:REWRITE DEFAULT-COERCE-2))
 (5 5 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::IFF-IMPLIES-IFF-HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN-2
 (2353 2353 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2137 1602 (:REWRITE DEFAULT-CDR))
 (1513 856 (:REWRITE DEFAULT-CAR))
 (962 499 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (919 262 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (624 40 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (513 61 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (499 499 (:REWRITE CLR-DIFFERENTIAL))
 (499 499 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (499 499 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (499 499 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (499 499 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (499 499 (:META CONS-EQUAL-SMART-META))
 (463 463 (:TYPE-PRESCRIPTION BOOLEANP))
 (435 262 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (366 183 (:REWRITE DEFAULT-+-2))
 (328 40 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (305 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (295 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (255 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (184 40 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (183 183 (:REWRITE DEFAULT-+-1))
 (160 40 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (148 40 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (136 8 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (126 126 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (126 126 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (124 4 (:DEFINITION SYN::CONSP-REC))
 (120 40 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (80 80 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (80 80 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (80 80 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (76 40 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (70 70 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (70 70 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (61 61 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (61 61 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (56 40 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (46 46 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (46 46 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (46 46 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (40 40 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (40 40 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (40 40 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (40 40 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (40 40 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (40 40 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (40 40 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (15 5 (:REWRITE UNICITY-OF-0))
 (10 5 (:DEFINITION FIX))
 (8 8 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (8 8 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (4 4 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 )
(CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-IRRELEVANT
 (2331 2331 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2125 1618 (:REWRITE DEFAULT-CDR))
 (1441 818 (:REWRITE DEFAULT-CAR))
 (919 262 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (888 462 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (477 57 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (462 462 (:REWRITE CLR-DIFFERENTIAL))
 (462 462 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (462 462 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (462 462 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (462 462 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (462 462 (:META CONS-EQUAL-SMART-META))
 (435 262 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (432 36 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (426 426 (:TYPE-PRESCRIPTION BOOLEANP))
 (366 183 (:REWRITE DEFAULT-+-2))
 (305 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (295 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (255 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (183 183 (:REWRITE DEFAULT-+-1))
 (144 36 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (144 36 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (108 36 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (99 99 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (99 99 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (72 72 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (72 72 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (72 72 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (72 36 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (57 57 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (57 57 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (50 50 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (50 50 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (46 46 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (46 46 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (46 46 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (36 36 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (36 36 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (36 36 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (36 36 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (36 36 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (36 36 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (36 36 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (36 36 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (36 36 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (36 36 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (15 5 (:REWRITE UNICITY-OF-0))
 (10 5 (:DEFINITION FIX))
 )
(CPATH::SHOW-SYNTAX-DOMINATES-P-TO-HYP-FOR
 (2257 2257 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2079 1632 (:REWRITE DEFAULT-CDR))
 (1361 792 (:REWRITE DEFAULT-CAR))
 (1003 286 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (746 387 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (624 34 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (471 286 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (466 34 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (390 195 (:REWRITE DEFAULT-+-2))
 (387 387 (:REWRITE CLR-DIFFERENTIAL))
 (387 387 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (387 387 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (387 387 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (387 387 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (387 387 (:META CONS-EQUAL-SMART-META))
 (378 46 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (359 359 (:TYPE-PRESCRIPTION BOOLEANP))
 (305 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (295 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (255 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (250 34 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (204 12 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (195 195 (:REWRITE DEFAULT-+-1))
 (186 6 (:DEFINITION SYN::CONSP-REC))
 (136 34 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (118 34 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (115 115 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (115 115 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (102 34 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (68 68 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (68 68 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (68 68 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (62 34 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (58 58 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (58 58 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (58 34 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (54 54 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (54 54 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (54 54 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (46 46 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (46 46 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (34 34 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (34 34 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (34 34 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (34 34 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (34 34 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (34 34 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (34 34 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (15 5 (:REWRITE UNICITY-OF-0))
 (12 12 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (12 12 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (10 5 (:DEFINITION FIX))
 (6 6 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 )
(CPATH::PSEUDO-TERMP-HYP-FOR-SHOW-SYNTAX-DOMINATES-P
 (1482 1482 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1442 1156 (:REWRITE DEFAULT-CDR))
 (919 262 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (761 488 (:REWRITE DEFAULT-CAR))
 (435 262 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (408 212 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (366 183 (:REWRITE DEFAULT-+-2))
 (324 18 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (305 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (295 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (255 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (234 18 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (212 212 (:REWRITE CLR-DIFFERENTIAL))
 (212 212 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (212 212 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (212 212 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (212 212 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (212 212 (:META CONS-EQUAL-SMART-META))
 (196 196 (:TYPE-PRESCRIPTION BOOLEANP))
 (183 183 (:REWRITE DEFAULT-+-1))
 (174 21 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (126 18 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (102 6 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (99 99 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (99 99 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (93 3 (:DEFINITION SYN::CONSP-REC))
 (72 18 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (66 66 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (66 66 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (63 18 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (54 18 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (46 46 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (46 46 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (46 46 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (36 36 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (36 36 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (36 36 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (33 18 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (31 31 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (30 18 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (21 21 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (21 21 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (18 18 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (18 18 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (18 18 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (18 18 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (15 5 (:REWRITE UNICITY-OF-0))
 (10 5 (:DEFINITION FIX))
 (6 6 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (6 6 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (3 3 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 )
(CPATH::CONTAINS)
(CPATH::SYNTAX-DOMINATION-IMPLIES-DOMINATION
 (10010 3296 (:REWRITE DEFAULT-CDR))
 (9861 569 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (9034 170 (:DEFINITION SYN::CONSP-REC))
 (4556 4556 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3289 2932 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (3260 569 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (3122 157 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (3079 2932 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (3017 2026 (:REWRITE DEFAULT-CAR))
 (2410 88 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (1899 15 (:REWRITE LIST::CONSP-APPEND))
 (1772 895 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1623 66 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (1441 82 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (1430 1241 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (1426 1426 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1426 1426 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1325 1241 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (1276 175 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (930 493 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (916 88 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (895 895 (:REWRITE CLR-DIFFERENTIAL))
 (895 895 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (895 895 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (895 895 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (895 895 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (895 895 (:META CONS-EQUAL-SMART-META))
 (877 877 (:TYPE-PRESCRIPTION BOOLEANP))
 (841 343 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (786 786 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (771 273 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (771 273 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (678 339 (:REWRITE DEFAULT-+-2))
 (569 569 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (542 542 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (506 46 (:DEFINITION TRUE-LISTP))
 (444 57 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (342 339 (:REWRITE DEFAULT-+-1))
 (324 273 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (322 92 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (312 156 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (312 156 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (305 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (295 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (272 88 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (272 88 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (255 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (226 88 (:REWRITE LIST::OPEN-EQUIV))
 (208 25 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (204 2 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-TWO))
 (180 9 (:REWRITE LIST::CDR-APPEND-CONSP))
 (162 3 (:REWRITE LIST::CAR-APPEND-CONSP))
 (157 157 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (157 157 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (157 157 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (156 156 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (156 156 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (156 156 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (147 3 (:REWRITE LIST::LEN-APPEND))
 (131 57 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (120 120 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (120 120 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (112 112 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (112 112 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (88 88 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (82 82 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (82 82 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (50 50 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (50 50 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (46 46 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (39 3 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-APPEND-AND-APPEND))
 (18 6 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (15 5 (:REWRITE UNICITY-OF-0))
 (10 5 (:DEFINITION FIX))
 (9 3 (:REWRITE DEFAULT-<-2))
 (6 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-APPEND-SELF-ONE))
 )
(CPATH::SYNTAX-DOMINATION-IMPLIES-DOMINATION-HELPER
 (418 1 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (243 2 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (75 5 (:DEFINITION SYN::QUOTEP))
 (62 62 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (60 4 (:DEFINITION SYN::CONSP))
 (52 33 (:REWRITE DEFAULT-CDR))
 (52 27 (:REWRITE DEFAULT-CAR))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (45 3 (:DEFINITION SYN::APPENDP))
 (40 21 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (36 12 (:DEFINITION SYN::LEN))
 (28 4 (:DEFINITION SYN::CDR))
 (25 25 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (25 25 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (25 5 (:DEFINITION SYN::DEQUOTE))
 (25 3 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (24 24 (:TYPE-PRESCRIPTION SYN::LEN))
 (24 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (21 21 (:REWRITE CLR-DIFFERENTIAL))
 (21 21 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (21 21 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (21 21 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (21 21 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (21 21 (:META CONS-EQUAL-SMART-META))
 (20 4 (:DEFINITION SYN::CAR))
 (19 19 (:TYPE-PRESCRIPTION BOOLEANP))
 (18 18 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (18 18 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (8 2 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (8 2 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (6 2 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 2 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (3 3 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (3 3 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (2 2 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (2 2 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2 2 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2 2 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (2 2 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (2 2 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (2 2 (:REWRITE SYN::EVAL-CONSTRAINT-2))
 (2 2 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (2 2 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (2 2 (:REWRITE SYN::EVAL-CONSTRAINT-10))
 (2 2 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (2 2 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (2 2 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2 1 (:REWRITE SYN::IFF-CONJOIN))
 )
(CPATH::SYNTAX-DOMINATION-IMPLIES-CONSP
 (14414 11837 (:REWRITE DEFAULT-CDR))
 (12977 12977 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (9311 6498 (:REWRITE DEFAULT-CAR))
 (6906 3577 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (4548 2274 (:REWRITE DEFAULT-+-2))
 (3743 378 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (3577 3577 (:REWRITE CLR-DIFFERENTIAL))
 (3577 3577 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (3577 3577 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (3577 3577 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (3577 3577 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (3577 3577 (:META CONS-EQUAL-SMART-META))
 (3571 2719 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (3329 3329 (:TYPE-PRESCRIPTION BOOLEANP))
 (3054 54 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (2754 54 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (2514 54 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (2274 2274 (:REWRITE DEFAULT-+-1))
 (1732 498 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (1732 498 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (1584 126 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (622 498 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (504 126 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (498 126 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (392 392 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (392 392 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (392 392 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (378 378 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (378 378 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (378 126 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (270 126 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (250 126 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (202 202 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (202 202 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (198 126 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (162 54 (:REWRITE UNICITY-OF-0))
 (140 140 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (140 70 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (140 70 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (134 126 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (126 126 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (126 126 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (126 126 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (126 126 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (113 113 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (108 54 (:DEFINITION FIX))
 (104 104 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (62 62 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (62 62 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (46 46 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (46 46 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (7 7 (:TYPE-PRESCRIPTION SYN::TRUEP))
 )
(CPATH::TAIL-DOMINATES-P
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(CPATH::TAIL-DOMINATES
 (7 7 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (7 7 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(CPATH::BOOLEANP-V0-TAIL-DOMINATES
 (93 8 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (83 83 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (83 83 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (35 8 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (30 30 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (29 29 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (29 29 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (29 8 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (26 26 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (26 26 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (17 10 (:REWRITE DEFAULT-CDR))
 (14 14 (:TYPE-PRESCRIPTION LEN))
 (13 1 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (12 6 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (8 8 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (8 8 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (8 8 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (8 8 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (8 1 (:DEFINITION TRUE-LISTP))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (7 7 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 2 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (4 1 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (1 1 (:REWRITE LIST::OPEN-EQUIV))
 (1 1 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::WF-PREFIX-V1-TAIL-DOMINATES
 (95 95 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (95 95 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (93 8 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (40 40 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (35 8 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (29 29 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (29 29 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (29 8 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (26 26 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (26 26 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (24 17 (:REWRITE DEFAULT-CDR))
 (14 14 (:TYPE-PRESCRIPTION LEN))
 (14 14 (:REWRITE DEFAULT-CAR))
 (13 1 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (12 6 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (8 8 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (8 8 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (8 8 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (8 8 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (8 1 (:DEFINITION TRUE-LISTP))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (6 6 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 2 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (4 1 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (1 1 (:REWRITE LIST::OPEN-EQUIV))
 (1 1 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P
 (198 20 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (132 132 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (132 132 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (89 20 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (74 74 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (68 20 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (62 62 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (62 62 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (57 57 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (57 57 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (49 33 (:REWRITE DEFAULT-CDR))
 (39 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (34 34 (:TYPE-PRESCRIPTION LEN))
 (28 14 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (24 3 (:DEFINITION TRUE-LISTP))
 (20 20 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (20 20 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (20 20 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (17 17 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (17 17 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (17 17 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (17 17 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (14 14 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (14 14 (:REWRITE DEFAULT-CAR))
 (12 6 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (12 3 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (10 5 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (5 5 (:TYPE-PRESCRIPTION BOOLEANP))
 (5 5 (:REWRITE CLR-DIFFERENTIAL))
 (5 5 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (5 5 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (5 5 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (5 5 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (5 5 (:META CONS-EQUAL-SMART-META))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (3 3 (:REWRITE LIST::OPEN-EQUIV))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::PREFIXES
 (3 3 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES
 (264 23 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (187 187 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (187 187 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (127 127 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (104 23 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (81 53 (:REWRITE DEFAULT-CDR))
 (80 23 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (70 70 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (70 70 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (60 16 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (57 48 (:REWRITE DEFAULT-CAR))
 (54 54 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (54 54 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (52 4 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (38 38 (:TYPE-PRESCRIPTION LEN))
 (32 4 (:DEFINITION TRUE-LISTP))
 (30 15 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (23 23 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (23 23 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (23 23 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (23 23 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (23 23 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (23 23 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (23 23 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (19 19 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (16 8 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (16 4 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (15 15 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (8 4 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (8 4 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (4 4 (:REWRITE LIST::OPEN-EQUIV))
 (4 4 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::TRUE-LISTP-LIST)
(CPATH::TRUE-LISTP-CAR-TRUE-LISTP-LIST
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(CPATH::TRUE-LISTP-LIST-PREFIXES
 (302 302 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (229 63 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (128 68 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (54 18 (:REWRITE LIST::TRUE-LISTP-OF-CONS))
 (48 18 (:REWRITE LIST::CONSP-OF-MAP-CONS))
 )
(CPATH::PREFIXED-TAIL-DOMINATOR-P
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P
 (48 4 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (20 20 (:REWRITE DEFAULT-CAR))
 (17 17 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12 12 (:REWRITE DEFAULT-CDR))
 (12 8 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (9 3 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (8 8 (:REWRITE CLR-DIFFERENTIAL))
 (8 8 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (8 8 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (8 8 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (8 8 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (8 8 (:META CONS-EQUAL-SMART-META))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 (4 4 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (4 4 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P)
(CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P
 (9 9 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5 5 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P
 (20 20 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12 6 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (10 5 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (5 5 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P
 (603 17 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (393 31 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (264 22 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (264 22 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (237 43 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (204 204 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (180 10 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (145 123 (:REWRITE DEFAULT-CDR))
 (138 3 (:DEFINITION SUBSETP-EQUAL))
 (120 42 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (120 42 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (112 4 (:REWRITE CPATH::ALL-DIVERGE-OF-CDR))
 (110 10 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (104 104 (:REWRITE DEFAULT-CAR))
 (88 44 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (88 22 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (88 22 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (76 49 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (70 43 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (66 22 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (62 62 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (62 62 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (54 3 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (49 49 (:REWRITE CLR-DIFFERENTIAL))
 (49 49 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (49 49 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (49 49 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (49 49 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (49 49 (:META CONS-EQUAL-SMART-META))
 (46 46 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (46 46 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (44 44 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (44 44 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (44 44 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (44 44 (:TYPE-PRESCRIPTION LEN))
 (44 22 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (43 43 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (42 42 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (41 31 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (36 1 (:REWRITE LIST::SUBSETP-CONS-1))
 (31 31 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (31 31 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (31 31 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (31 31 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (30 30 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (27 27 (:TYPE-PRESCRIPTION BOOLEANP))
 (26 13 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (26 13 (:REWRITE CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (22 22 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (22 22 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (22 22 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (22 22 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (22 22 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (22 22 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (22 22 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (22 22 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (22 22 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (22 22 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (22 22 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (22 22 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (22 22 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (22 22 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (22 22 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (20 20 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (20 2 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (12 12 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (12 12 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (12 12 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (12 12 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (12 6 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (11 11 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (10 10 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (10 10 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (10 10 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (10 10 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (9 9 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (8 4 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 4 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (4 4 (:REWRITE LIST::SUBSETP-ID))
 (4 4 (:REWRITE LIST::SUBSET-CHAINING-2))
 (4 4 (:REWRITE LIST::SUBSET-CHAINING-1))
 (4 4 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (3 3 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (2 2 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 (1 1 (:REWRITE LIST::MEMBERP-OF-CONS-IRREL))
 )
(CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-LEN
 (199 3 (:REWRITE CPATH::TAIL-P-IMPLIES))
 (190 3 (:DEFINITION CPATH::TAIL-P))
 (172 172 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (138 11 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (128 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (120 64 (:REWRITE DEFAULT-+-2))
 (115 3 (:REWRITE CPATH::LEN-LARGER-WHEN-DOMINATED))
 (115 3 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (112 3 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (110 88 (:REWRITE DEFAULT-CDR))
 (71 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (71 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (66 49 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (64 64 (:REWRITE DEFAULT-+-1))
 (60 5 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (44 11 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (40 6 (:REWRITE FOLD-CONSTS-IN-+))
 (39 3 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (39 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (38 11 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (36 36 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (36 36 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (36 36 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (33 11 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (29 29 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (29 29 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (29 29 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (28 28 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (28 28 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (28 28 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (26 26 (:REWRITE DEFAULT-CAR))
 (24 3 (:DEFINITION TRUE-LISTP))
 (23 14 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (22 11 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (20 11 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (18 18 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (17 6 (:REWRITE UNICITY-OF-0))
 (16 8 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (15 15 (:TYPE-PRESCRIPTION CPATH::TAIL-P))
 (15 10 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (14 14 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (14 14 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (12 6 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (11 11 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (11 11 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (11 11 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (11 11 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (11 6 (:DEFINITION FIX))
 (10 10 (:REWRITE CLR-DIFFERENTIAL))
 (10 10 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (10 10 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (10 10 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (10 10 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (10 10 (:META CONS-EQUAL-SMART-META))
 (8 4 (:REWRITE DEFAULT-<-1))
 (7 4 (:REWRITE DEFAULT-<-2))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (5 5 (:TYPE-PRESCRIPTION BOOLEANP))
 (5 5 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (5 5 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (3 3 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (3 3 (:REWRITE LIST::OPEN-EQUIV))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P
 (52 52 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (52 52 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (39 39 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (39 39 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (33 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (15 3 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (13 1 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (11 11 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (9 3 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (8 1 (:DEFINITION TRUE-LISTP))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5 5 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (5 5 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (5 5 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (5 3 (:REWRITE DEFAULT-CDR))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 2 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (4 1 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (3 3 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (3 3 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (3 3 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (3 3 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (2 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (1 1 (:REWRITE LIST::OPEN-EQUIV))
 (1 1 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (1 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 )
(CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P
 (12 4 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (8 8 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (8 8 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (8 6 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX
 (182 17 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (137 137 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (137 137 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (75 75 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (68 17 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (62 17 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (51 17 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (48 48 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (48 48 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (39 24 (:REWRITE DEFAULT-CDR))
 (34 34 (:TYPE-PRESCRIPTION LEN))
 (34 17 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (32 17 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (17 17 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (17 17 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (17 17 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (17 17 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (17 17 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (15 15 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (15 15 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (15 15 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (15 15 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (15 15 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (6 6 (:REWRITE DEFAULT-CAR))
 )
(CPATH::TAIL-DOMINATES-APPEND
 (338 9 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (326 12 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (134 134 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (134 67 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (134 67 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (121 16 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (101 17 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (80 8 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (71 9 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (69 69 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (67 67 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (67 67 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (67 67 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (65 16 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (61 7 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (60 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-ONE))
 (52 19 (:REWRITE DEFAULT-CDR))
 (38 17 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (33 9 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (29 11 (:REWRITE LIST::CONSP-APPEND))
 (27 9 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (23 12 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (16 16 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (14 7 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (12 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (9 9 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (9 9 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (9 9 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (9 9 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (7 7 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (7 4 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE CLR-DIFFERENTIAL))
 (4 4 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (4 4 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (4 4 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (4 4 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (4 4 (:META CONS-EQUAL-SMART-META))
 (3 3 (:TYPE-PRESCRIPTION BOOLEANP))
 (3 3 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (3 3 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (2 1 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (1 1 (:REWRITE LIST::CDR-APPEND-CONSP))
 )
(CPATH::WF-SYNTAX-PREFIX)
(CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP
 (30 30 (:REWRITE DEFAULT-CAR))
 (24 12 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (21 21 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12 12 (:TYPE-PRESCRIPTION BOOLEANP))
 (12 12 (:REWRITE CLR-DIFFERENTIAL))
 (12 12 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (12 12 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (12 12 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (12 12 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (12 12 (:META CONS-EQUAL-SMART-META))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 2 (:DEFINITION TRUE-LISTP))
 (8 4 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 )
(CPATH::S2L
 (32 16 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (27 3 (:DEFINITION TRUE-LISTP))
 (24 6 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (22 22 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (19 19 (:REWRITE DEFAULT-CDR))
 (16 16 (:TYPE-PRESCRIPTION BOOLEANP))
 (16 16 (:REWRITE CLR-DIFFERENTIAL))
 (16 16 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (16 16 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (16 16 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (16 16 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (16 16 (:META CONS-EQUAL-SMART-META))
 (14 13 (:REWRITE DEFAULT-CAR))
 (12 6 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 )
(CPATH::TRUE-LISTP-S2L
 (428 26 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (271 11 (:DEFINITION TRUE-LISTP))
 (88 44 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (80 80 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (72 66 (:REWRITE DEFAULT-CDR))
 (68 58 (:REWRITE DEFAULT-CAR))
 (52 26 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (44 44 (:TYPE-PRESCRIPTION BOOLEANP))
 (44 44 (:REWRITE CLR-DIFFERENTIAL))
 (44 44 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (44 44 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (44 44 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (44 44 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (44 44 (:META CONS-EQUAL-SMART-META))
 (6 6 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (6 6 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (6 6 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (6 6 (:REWRITE SYN::EVAL-CONSTRAINT-2))
 (6 6 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (6 6 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (6 6 (:REWRITE SYN::EVAL-CONSTRAINT-10))
 (6 6 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (3 3 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (1 1 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (1 1 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 )
(CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN)
(CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-IRRELEVANT
 (258 258 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (252 15 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (236 150 (:REWRITE DEFAULT-CDR))
 (231 126 (:REWRITE DEFAULT-CAR))
 (159 15 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (147 45 (:DEFINITION SYN::LEN))
 (125 69 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (104 13 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (87 15 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (69 69 (:REWRITE CLR-DIFFERENTIAL))
 (69 69 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (69 69 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (69 69 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (69 69 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (69 69 (:META CONS-EQUAL-SMART-META))
 (68 4 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (62 2 (:DEFINITION SYN::CONSP-REC))
 (60 15 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (57 57 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (57 57 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (54 15 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (52 52 (:TYPE-PRESCRIPTION BOOLEANP))
 (45 15 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (30 30 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (30 30 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (30 30 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (30 30 (:TYPE-PRESCRIPTION LEN))
 (28 28 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (28 28 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (28 15 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (23 15 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (15 15 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (15 15 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (15 15 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (15 15 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (15 15 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (15 15 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (15 15 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (14 2 (:DEFINITION SYN::APPENDP))
 (13 13 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (13 13 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (4 4 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (4 4 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (2 2 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 )
(CPATH::WF-SYNTAX-PREFIX-SYNTAX-QUOTE-TAIL-DOMINATES
 (178 178 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (155 107 (:REWRITE DEFAULT-CDR))
 (144 9 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (140 81 (:REWRITE DEFAULT-CAR))
 (96 52 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (87 27 (:DEFINITION SYN::LEN))
 (81 9 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (64 8 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (52 52 (:REWRITE CLR-DIFFERENTIAL))
 (52 52 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (52 52 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (52 52 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (52 52 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (52 52 (:META CONS-EQUAL-SMART-META))
 (49 49 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (49 49 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (45 9 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (44 44 (:TYPE-PRESCRIPTION BOOLEANP))
 (36 9 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (36 4 (:DEFINITION TRUE-LISTP))
 (34 2 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (33 9 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (32 8 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (31 1 (:DEFINITION SYN::CONSP-REC))
 (28 28 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (28 28 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (27 9 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (18 18 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (18 18 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (18 18 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (17 9 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (16 8 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (13 9 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (9 9 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (9 9 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (9 9 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (9 9 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (8 8 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (8 8 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (7 1 (:DEFINITION SYN::APPENDP))
 (2 2 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (2 2 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (1 1 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 )
(CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-IMPLIES-TAIL-DOMINATES
 (1721 11 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1453 32 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (1385 19 (:DEFINITION SYN::CONSP-REC))
 (1020 12 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (793 41 (:DEFINITION SYN::QUOTEP))
 (769 198 (:REWRITE DEFAULT-CDR))
 (570 30 (:DEFINITION SYN::CONSP))
 (535 21 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (508 508 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-CONSP))
 (504 90 (:DEFINITION SYN::LEN))
 (471 169 (:REWRITE DEFAULT-CAR))
 (394 394 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (362 362 (:TYPE-PRESCRIPTION SYN::LEN))
 (307 21 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (307 19 (:DEFINITION SYN::APPENDP))
 (279 41 (:DEFINITION SYN::DEQUOTE))
 (196 101 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (185 21 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (161 161 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (161 161 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (138 138 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (110 11 (:DEFINITION SYN::CDR))
 (106 18 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (101 101 (:REWRITE CLR-DIFFERENTIAL))
 (101 101 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (101 101 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (101 101 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (101 101 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (101 101 (:META CONS-EQUAL-SMART-META))
 (95 95 (:TYPE-PRESCRIPTION BOOLEANP))
 (84 21 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (83 83 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (83 83 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (83 21 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (77 11 (:DEFINITION SYN::CAR))
 (74 74 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (74 74 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (63 21 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (48 6 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (42 42 (:TYPE-PRESCRIPTION LEN))
 (32 32 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (32 32 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (31 21 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (26 13 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (26 13 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (26 13 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (26 13 (:REWRITE SYN::EVAL-CONSTRAINT-2))
 (26 13 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (26 13 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (26 13 (:REWRITE SYN::EVAL-CONSTRAINT-10))
 (21 21 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (21 21 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (21 21 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (18 18 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (13 13 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (11 11 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (11 11 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (10 10 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-DOMINATION))
 )
(CPATH::NOT-CONSP-MEMBERSHIP-IMPLIES-DOMINATES
 (1823 20 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (1681 9 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (1379 16 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (612 612 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (582 70 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (570 5 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (505 25 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (491 21 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (475 10 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (385 385 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (320 10 (:DEFINITION TRUE-LISTP))
 (311 175 (:REWRITE DEFAULT-CDR))
 (307 307 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (307 307 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (295 70 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (265 70 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (258 1 (:DEFINITION SUBSETP-EQUAL))
 (214 16 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (202 202 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (202 202 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (150 7 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (135 3 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (133 58 (:REWRITE DEFAULT-CAR))
 (133 9 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (130 130 (:TYPE-PRESCRIPTION LEN))
 (120 60 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (113 62 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (94 7 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (85 85 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (77 2 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (70 70 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (70 70 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (70 70 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (70 32 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (64 16 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (64 16 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (63 31 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (61 3 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (55 55 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (50 25 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (48 48 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (48 48 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (48 48 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (48 48 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (45 43 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (40 21 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (32 32 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (31 31 (:TYPE-PRESCRIPTION BOOLEANP))
 (31 31 (:REWRITE CLR-DIFFERENTIAL))
 (31 31 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (31 31 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (31 31 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (31 31 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (31 31 (:META CONS-EQUAL-SMART-META))
 (24 1 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (22 22 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (22 22 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (22 22 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (21 21 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (21 21 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (20 5 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (18 18 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (16 16 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (16 16 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (16 16 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (16 16 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (14 14 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (14 7 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (14 5 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (10 5 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (10 5 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (9 5 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (8 8 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (8 8 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (8 8 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (8 8 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (7 7 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (7 7 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (7 7 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (7 7 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (6 6 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (6 3 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (5 5 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (5 5 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (5 5 (:REWRITE LIST::OPEN-EQUIV))
 (5 5 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (3 3 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (2 2 (:REWRITE LIST::SUBSET-CHAINING-2))
 (2 2 (:REWRITE LIST::SUBSET-CHAINING-1))
 (2 1 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 )
(CPATH::MEMBERP-NOT-CONSP-PREFIXES
 (563468 8140 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (546883 2047 (:DEFINITION LIST::MEMBERP))
 (543587 6952 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (499112 908 (:REWRITE LIST::SUBSETP-CONS-1))
 (331870 984 (:DEFINITION SUBSETP-EQUAL))
 (231576 14800 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (181517 18587 (:REWRITE DEFAULT-CDR))
 (161211 2889 (:REWRITE LIST::CONSP-OF-MAP-CONS))
 (139093 2876 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (91115 907 (:REWRITE LIST::CAR-OF-MAP-CONS))
 (85709 907 (:REWRITE LIST::CDR-OF-MAP-CONS))
 (78321 8976 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (74353 6948 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (73885 10825 (:REWRITE DEFAULT-CAR))
 (55368 984 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (45943 2890 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (36519 8976 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (36370 1067 (:REWRITE LIST::EQUAL-CONS-CASES))
 (36214 36214 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (33806 1474 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (29983 11 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (29457 8976 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (28990 5 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (28405 15120 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (26777 25457 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (26112 5460 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (26112 5460 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (25457 25457 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (17746 17746 (:TYPE-PRESCRIPTION LEN))
 (15559 7 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (14991 4 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (14954 4 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (14676 8872 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (12745 12133 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (12133 12133 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (8976 8976 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (8874 8874 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (8874 8874 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (8872 8872 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (7934 7934 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (7930 7930 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (7721 4572 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (7659 6111 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (6952 6952 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (6948 6948 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (6214 6214 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (6214 6214 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (6112 6112 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (6112 6112 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (4935 4935 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2890 2890 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (2876 2876 (:REWRITE LIST::SUBSET-CHAINING-2))
 (2876 2876 (:REWRITE LIST::SUBSET-CHAINING-1))
 (2570 2570 (:REWRITE CLR-DIFFERENTIAL))
 (2570 2570 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2570 2570 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2570 2570 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2570 2570 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2570 2570 (:META CONS-EQUAL-SMART-META))
 (2342 2342 (:TYPE-PRESCRIPTION BOOLEANP))
 (2164 102 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-TWO))
 (809 5 (:REWRITE LIST::OPEN-EQUIV))
 (387 9 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (140 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (109 109 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (109 109 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (101 5 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (95 2 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (72 20 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (64 2 (:DEFINITION TRUE-LISTP))
 (40 20 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (20 20 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (20 20 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (20 20 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (20 4 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (17 17 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (13 4 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (12 12 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (11 11 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (11 11 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (11 11 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (10 5 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (9 9 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (9 9 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (9 9 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (9 9 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (9 9 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (9 9 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (8 8 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (4 4 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (4 4 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (4 4 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 (4 4 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (3 3 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::S2L-MEMBERSHIP-IN-SYNTAX-QUOTE-TAIL-DOMINATES
 (29560 65 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (26624 19 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (20701 12 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (16317 14 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (15672 49 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (12778 314 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (12110 182 (:DEFINITION SYN::CONSP-REC))
 (9972 3184 (:REWRITE DEFAULT-CDR))
 (7912 317 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (7442 130 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (6546 16 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (5867 5867 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5381 317 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (5205 1170 (:DEFINITION SYN::LEN))
 (5188 4 (:REWRITE LIST::CONSP-OF-MAP-CONS))
 (4967 2632 (:REWRITE DEFAULT-CAR))
 (4234 15 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (2852 1486 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2674 182 (:DEFINITION SYN::APPENDP))
 (2670 2 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (1987 317 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (1486 1486 (:REWRITE CLR-DIFFERENTIAL))
 (1486 1486 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1486 1486 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1486 1486 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1486 1486 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1486 1486 (:META CONS-EQUAL-SMART-META))
 (1386 1386 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (1366 1366 (:TYPE-PRESCRIPTION BOOLEANP))
 (1356 2 (:REWRITE LIST::OPEN-EQUIV))
 (1309 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-TWO))
 (1274 317 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1056 316 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (960 120 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (948 316 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (933 316 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (763 745 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (745 745 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (654 648 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (648 648 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (632 632 (:TYPE-PRESCRIPTION LEN))
 (388 388 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-CONSP))
 (358 316 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (318 318 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (318 318 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (317 317 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (317 317 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (317 317 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (316 316 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (316 316 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (314 314 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (314 314 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (230 10 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (208 208 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (208 208 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (159 97 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (144 144 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (144 144 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (136 130 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (113 15 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (113 15 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (90 29 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (66 3 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (42 3 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (40 37 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (40 37 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (40 37 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (40 37 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (40 37 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (40 37 (:REWRITE SYN::EVAL-CONSTRAINT-10))
 (36 36 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (29 29 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (29 29 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (29 29 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (29 29 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (28 28 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (28 28 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (28 28 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (28 7 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (24 24 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (15 15 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (15 15 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (15 1 (:REWRITE LIST::MEMBERP-OF-CONS-REDUCE-CHEAP))
 (14 14 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (14 14 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (13 1 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (12 6 (:DEFINITION LIST::BINARY-APPENDX))
 (10 10 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (10 10 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (10 10 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (10 10 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (7 7 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-DOMINATION))
 (6 6 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (6 6 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (6 3 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (3 3 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (3 3 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (3 3 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (3 3 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (1 1 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 (1 1 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::SHOW-SYNTAX-TAIL-DOMINATES-FN
 (411 114 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (400 400 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (365 264 (:REWRITE DEFAULT-CDR))
 (268 2 (:DEFINITION CPATH::TAIL-DOMINATES))
 (258 128 (:REWRITE DEFAULT-+-2))
 (199 114 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (150 3 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (142 128 (:REWRITE DEFAULT-+-1))
 (122 2 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (118 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (108 9 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (102 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (97 2 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (84 4 (:DEFINITION LENGTH))
 (51 39 (:REWRITE DEFAULT-CAR))
 (36 9 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (36 9 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (32 8 (:REWRITE COMMUTATIVITY-OF-+))
 (32 8 (:DEFINITION INTEGER-ABS))
 (27 15 (:REWRITE FOLD-CONSTS-IN-+))
 (27 9 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (22 22 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (22 22 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (21 12 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (18 18 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (18 18 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (18 18 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (18 9 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (18 9 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (14 14 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (14 14 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (14 14 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (14 14 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (14 1 (:DEFINITION CPATH::PREFIXES))
 (10 9 (:REWRITE DEFAULT-<-2))
 (10 9 (:REWRITE DEFAULT-<-1))
 (9 9 (:TYPE-PRESCRIPTION BOOLEANP))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (9 9 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (9 9 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (9 9 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (9 9 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (9 9 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (9 9 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (9 9 (:REWRITE CLR-DIFFERENTIAL))
 (9 9 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (9 9 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (9 9 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (9 9 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (9 9 (:META CONS-EQUAL-SMART-META))
 (9 2 (:DEFINITION SYN::CAR))
 (9 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (8 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 1 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (4 4 (:REWRITE DEFAULT-REALPART))
 (4 4 (:REWRITE DEFAULT-NUMERATOR))
 (4 4 (:REWRITE DEFAULT-IMAGPART))
 (4 4 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (1 1 (:REWRITE SYN::IFF-CONJOIN))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (1 1 (:LINEAR ACL2-COUNT-WHEN-CONSP-LINEAR))
 (1 1 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 )
(CPATH::SHOW-SYNTAX-TAIL-DOMINATES-IRRELEVANT
 (10720 80 (:DEFINITION CPATH::TAIL-DOMINATES))
 (10001 1873 (:REWRITE DEFAULT-CAR))
 (6802 38 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (5370 5370 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4376 3127 (:REWRITE DEFAULT-CDR))
 (4272 356 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (3830 42 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (3494 42 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1810 926 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1424 356 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1424 356 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (1068 356 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (926 926 (:REWRITE CLR-DIFFERENTIAL))
 (926 926 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (926 926 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (926 926 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (926 926 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (926 926 (:META CONS-EQUAL-SMART-META))
 (884 884 (:TYPE-PRESCRIPTION BOOLEANP))
 (867 101 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (864 864 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (864 864 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (838 476 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (821 230 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (712 712 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (712 712 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (712 712 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (712 356 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (552 552 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (532 38 (:DEFINITION CPATH::PREFIXES))
 (393 230 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (356 356 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (356 356 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (356 356 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (356 356 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (356 356 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (356 356 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (356 356 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (356 356 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (356 356 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (356 356 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (342 171 (:REWRITE DEFAULT-+-2))
 (244 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (236 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (204 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (190 190 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (190 38 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (171 171 (:REWRITE DEFAULT-+-1))
 (101 101 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (101 101 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (42 42 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (42 42 (:DEFINITION SYN::ENQUOTE))
 (34 34 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (34 34 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (34 34 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:DEFINITION FIX))
 )
(CPATH::HYP-FOR-SHOW-SYNTAX-TAIL-DOMINATES-FN
 (191 50 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (182 182 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (175 128 (:REWRITE DEFAULT-CDR))
 (162 80 (:REWRITE DEFAULT-+-2))
 (97 2 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (94 80 (:REWRITE DEFAULT-+-1))
 (91 50 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (84 4 (:DEFINITION LENGTH))
 (35 26 (:REWRITE DEFAULT-CAR))
 (32 8 (:REWRITE COMMUTATIVITY-OF-+))
 (32 8 (:DEFINITION INTEGER-ABS))
 (14 7 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (13 13 (:REWRITE FOLD-CONSTS-IN-+))
 (10 9 (:REWRITE DEFAULT-<-2))
 (10 9 (:REWRITE DEFAULT-<-1))
 (9 2 (:DEFINITION SYN::CAR))
 (9 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (8 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (7 7 (:TYPE-PRESCRIPTION BOOLEANP))
 (7 7 (:REWRITE CLR-DIFFERENTIAL))
 (7 7 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7 7 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7 7 (:META CONS-EQUAL-SMART-META))
 (6 6 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (6 6 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (6 6 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (4 4 (:REWRITE DEFAULT-REALPART))
 (4 4 (:REWRITE DEFAULT-NUMERATOR))
 (4 4 (:REWRITE DEFAULT-IMAGPART))
 (4 4 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (1 1 (:REWRITE SYN::IFF-CONJOIN))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (1 1 (:LINEAR ACL2-COUNT-WHEN-CONSP-LINEAR))
 (1 1 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 )
(CPATH::HYP-FOR-SHOW-SYNTAX-TAIL-DOMINATES-IRRELEVANT
 (1628 1628 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1560 18 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (1533 1150 (:REWRITE DEFAULT-CDR))
 (1416 18 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (969 553 (:REWRITE DEFAULT-CAR))
 (792 228 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (586 302 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (384 228 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (366 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (354 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (342 40 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (336 168 (:REWRITE DEFAULT-+-2))
 (306 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (302 302 (:REWRITE CLR-DIFFERENTIAL))
 (302 302 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (302 302 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (302 302 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (302 302 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (302 302 (:META CONS-EQUAL-SMART-META))
 (284 284 (:TYPE-PRESCRIPTION BOOLEANP))
 (168 168 (:REWRITE DEFAULT-+-1))
 (144 12 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (48 24 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (48 12 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (48 12 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (42 6 (:REWRITE FOLD-CONSTS-IN-+))
 (40 40 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (40 40 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (36 12 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (32 32 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (32 32 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (32 32 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (24 24 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (24 24 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (24 24 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (24 24 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (24 24 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (24 24 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (24 12 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (18 18 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (18 18 (:DEFINITION SYN::ENQUOTE))
 (18 6 (:REWRITE UNICITY-OF-0))
 (12 12 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (12 12 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (12 12 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (12 12 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (12 12 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (12 12 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (12 12 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (12 12 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (12 12 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (12 12 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (12 6 (:DEFINITION FIX))
 )
(CPATH::SHOW-SYNTAX-TAIL-DOMINATES-TO-HYP-FOR
 (3336 984 (:REWRITE DEFAULT-CAR))
 (2832 2832 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2583 29 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (2546 19 (:DEFINITION CPATH::TAIL-DOMINATES))
 (2468 1806 (:REWRITE DEFAULT-CDR))
 (2351 29 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1611 9 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (1164 97 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1025 527 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (861 246 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (538 63 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (527 527 (:REWRITE CLR-DIFFERENTIAL))
 (527 527 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (527 527 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (527 527 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (527 527 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (527 527 (:META CONS-EQUAL-SMART-META))
 (498 498 (:TYPE-PRESCRIPTION BOOLEANP))
 (417 246 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (388 97 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (388 97 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (366 183 (:REWRITE DEFAULT-+-2))
 (366 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (354 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (306 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (291 97 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (249 138 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (230 230 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (230 230 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (194 194 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (194 194 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (194 194 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (194 97 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (183 183 (:REWRITE DEFAULT-+-1))
 (156 156 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (126 9 (:DEFINITION CPATH::PREFIXES))
 (97 97 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (97 97 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (97 97 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (97 97 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (97 97 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (97 97 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (97 97 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (97 97 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (97 97 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (97 97 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (63 63 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (63 63 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (45 45 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (45 9 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (42 6 (:REWRITE FOLD-CONSTS-IN-+))
 (34 34 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (34 34 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (34 34 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (29 29 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (29 29 (:DEFINITION SYN::ENQUOTE))
 (18 6 (:REWRITE UNICITY-OF-0))
 (12 6 (:DEFINITION FIX))
 )
(CPATH::PSEDUO-TERMP-HYP-FOR-SHOW-SYNTAX-TAIL-DOMINATES
 (1173 1173 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1107 824 (:REWRITE DEFAULT-CDR))
 (947 11 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (859 11 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (792 228 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (551 318 (:REWRITE DEFAULT-CAR))
 (384 228 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (366 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (354 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (336 168 (:REWRITE DEFAULT-+-2))
 (329 170 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (306 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (196 23 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (170 170 (:REWRITE CLR-DIFFERENTIAL))
 (170 170 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (170 170 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (170 170 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (170 170 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (170 170 (:META CONS-EQUAL-SMART-META))
 (168 168 (:REWRITE DEFAULT-+-1))
 (159 159 (:TYPE-PRESCRIPTION BOOLEANP))
 (84 7 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (42 6 (:REWRITE FOLD-CONSTS-IN-+))
 (32 32 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (32 32 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (32 32 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (28 14 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (28 7 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (28 7 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (23 23 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (23 23 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (21 7 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (18 6 (:REWRITE UNICITY-OF-0))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (14 14 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (14 14 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (14 14 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (14 7 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (12 12 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (12 6 (:DEFINITION FIX))
 (11 11 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (11 11 (:DEFINITION SYN::ENQUOTE))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (7 7 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (7 7 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (7 7 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (7 7 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (7 7 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (7 7 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 )
(CPATH::WF-SYNTAX-PREFIX-SHOW-SYNTAX-TAIL-DOMINATES
 (2823 704 (:REWRITE DEFAULT-CAR))
 (2546 19 (:DEFINITION CPATH::TAIL-DOMINATES))
 (2442 6 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-TAIL-DOMINATES-FN))
 (2236 2236 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1903 1381 (:REWRITE DEFAULT-CDR))
 (1611 9 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (1469 16 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (1341 16 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1104 92 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (788 402 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (773 218 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (402 402 (:REWRITE CLR-DIFFERENTIAL))
 (402 402 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (402 402 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (402 402 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (402 402 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (402 402 (:META CONS-EQUAL-SMART-META))
 (386 386 (:TYPE-PRESCRIPTION BOOLEANP))
 (369 218 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (368 92 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (368 92 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (335 39 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (318 159 (:REWRITE DEFAULT-+-2))
 (276 92 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (244 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (236 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (229 128 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (220 220 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (220 220 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (204 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (184 184 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (184 184 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (184 184 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (184 92 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (159 159 (:REWRITE DEFAULT-+-1))
 (146 146 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (126 9 (:DEFINITION CPATH::PREFIXES))
 (108 12 (:DEFINITION TRUE-LISTP))
 (100 25 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (92 92 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (92 92 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (92 92 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (92 92 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (92 92 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (92 92 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (92 92 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (92 92 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (92 92 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (92 92 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (48 24 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (45 9 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (39 39 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (39 39 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (34 34 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (34 34 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (34 34 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (16 16 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (16 16 (:DEFINITION SYN::ENQUOTE))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:DEFINITION FIX))
 )
(CPATH::SHOW-SYNTAX-TAIL-DOMINATES-IMPLIES-TAIL-DOMINATES
 (15503 68 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (13924 94 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (11976 207 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (11529 123 (:DEFINITION SYN::CONSP-REC))
 (7407 3958 (:REWRITE DEFAULT-CDR))
 (6227 2640 (:REWRITE DEFAULT-CAR))
 (5718 5718 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5331 124 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (3816 91 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2918 71 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (2836 39 (:REWRITE CPATH::SYNTAX-QUOTE-DOMINATES-IMPLIES-DOMINATES))
 (2623 1318 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2618 115 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (2480 46 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (2396 31 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (1745 14 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-ONE))
 (1708 124 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (1645 46 (:DEFINITION TRUE-LISTP))
 (1534 55 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (1385 520 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (1318 1318 (:REWRITE CLR-DIFFERENTIAL))
 (1318 1318 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1318 1318 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1318 1318 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1318 1318 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1318 1318 (:META CONS-EQUAL-SMART-META))
 (1272 1272 (:TYPE-PRESCRIPTION BOOLEANP))
 (1199 81 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1195 14 (:REWRITE LIST::CONSP-APPEND))
 (1004 24 (:DEFINITION SYN::TRUEP))
 (998 474 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (998 474 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (942 942 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (782 474 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (739 313 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (732 130 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (656 5 (:REWRITE LIST::CAR-APPEND-CONSP))
 (630 3 (:REWRITE LIST::APPEND-EQUAL-SELF-TWO))
 (534 534 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (525 5 (:REWRITE LIST::CDR-APPEND-CONSP))
 (502 2 (:REWRITE LIST::APPEND-EQUAL-SELF-ONE))
 (462 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (456 115 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (451 226 (:REWRITE DEFAULT-+-2))
 (438 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (428 1 (:REWRITE LIST::LIST-EQUIV-HACK))
 (391 391 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (378 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (366 77 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (332 1 (:REWRITE LIST::TRUE-LISTP-FIX))
 (298 249 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (282 141 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (282 141 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (268 2 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (262 206 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (258 77 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (234 206 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (226 226 (:REWRITE DEFAULT-+-1))
 (210 2 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (207 207 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (206 206 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (141 141 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (129 129 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (129 129 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (129 129 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (124 124 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (124 124 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (124 124 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (122 122 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (122 122 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (115 115 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (115 115 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (89 89 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (89 89 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (77 77 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (72 31 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (69 31 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (61 61 (:DEFINITION SYN::ENQUOTE))
 (48 48 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (48 48 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (48 48 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (42 6 (:REWRITE FOLD-CONSTS-IN-+))
 (31 31 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-DOMINATION-HELPER))
 (31 31 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (30 5 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (30 5 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (24 24 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (24 24 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (24 24 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (24 24 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (18 6 (:REWRITE UNICITY-OF-0))
 (15 15 (:REWRITE CAR-CONS))
 (12 12 (:DEFINITION SYN::IF))
 (12 6 (:DEFINITION FIX))
 (9 9 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (6 6 (:TYPE-PRESCRIPTION LIST::FINALCDR))
 (6 1 (:REWRITE LIST::FIX-OF-NON-CONSP))
 )
(CPATH::MEMBERP-PREFIXES-IMPLIES-MEMBERP-PREFIXES-APPEND
 (16345 33 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (14140 183 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (12944 28 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (9751 47 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (8440 273 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (5988 5988 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5988 2994 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (5988 2994 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (4821 26 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (4602 830 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (3181 574 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (2994 2994 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (2950 2950 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (2885 48 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (2708 4 (:REWRITE LIST::CONSP-OF-MAP-CONS))
 (2322 272 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2142 366 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (2132 2132 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2117 678 (:REWRITE DEFAULT-CDR))
 (2048 830 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1986 279 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1848 574 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (1683 290 (:REWRITE DEFAULT-CAR))
 (1638 269 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1464 2 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (1172 30 (:REWRITE CPATH::TAIL-DOMINATES-APPEND))
 (962 269 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (948 94 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (816 272 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (724 2 (:REWRITE LIST::OPEN-EQUIV))
 (677 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-TWO))
 (556 94 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (440 20 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (391 17 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (386 269 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (381 45 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (381 45 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (280 20 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (276 276 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (276 276 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (273 273 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (272 272 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (272 272 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (272 272 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (272 272 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (255 95 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (191 115 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (180 3 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-ONE))
 (152 76 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (144 72 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (104 9 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (95 95 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (80 78 (:REWRITE LIST::CAR-APPEND-CONSP))
 (80 73 (:REWRITE LIST::CDR-APPEND-CONSP))
 (67 67 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (67 67 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (67 67 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (66 66 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (66 66 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (66 66 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (61 13 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (56 56 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (48 48 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (48 48 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (47 47 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (47 47 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (40 40 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (40 20 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (33 21 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (22 22 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (22 22 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (22 22 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (22 22 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (22 1 (:REWRITE LIST::MEMBERP-OF-CONS-REDUCE-CHEAP))
 (21 21 (:REWRITE CLR-DIFFERENTIAL))
 (21 21 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (21 21 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (21 21 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (21 21 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (21 21 (:META CONS-EQUAL-SMART-META))
 (20 20 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (20 20 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (20 20 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (20 20 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (20 20 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (13 1 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (12 12 (:TYPE-PRESCRIPTION BOOLEANP))
 (12 12 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (12 12 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (1 1 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 (1 1 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::S2L-MEMBERSHIP-IN-PREFIXES
 (14545 12401 (:REWRITE DEFAULT-CDR))
 (10179 10179 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (9458 758 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (8137 24 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (7979 5901 (:REWRITE DEFAULT-CAR))
 (5945 29 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (4597 659 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (4502 580 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (4380 494 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (4061 80 (:DEFINITION SYN::TRUEP))
 (3977 175 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (3858 1196 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (3001 1141 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (3001 1141 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (2669 8 (:REWRITE CPATH::TAIL-DOMINATES-APPEND))
 (2351 2351 (:REWRITE CLR-DIFFERENTIAL))
 (2351 2351 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2351 2351 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2351 2351 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2351 2351 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2351 2351 (:META CONS-EQUAL-SMART-META))
 (2339 1082 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2083 1141 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (1939 200 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (1882 30 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (1614 1082 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1326 544 (:REWRITE CPATH::SYNTAX-QUOTE-DOMINATES-IMPLIES-DOMINATES))
 (1160 494 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1082 1082 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (1002 1002 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1000 500 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (1000 500 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (938 578 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (919 535 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (782 782 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (585 579 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (582 291 (:REWRITE DEFAULT-+-2))
 (580 580 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (579 579 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (579 579 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (579 579 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (534 534 (:REWRITE CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-IMPLIES-TAIL-DOMINATES))
 (521 521 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-DOMINATION-HELPER))
 (500 500 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (500 500 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (500 500 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (470 6 (:REWRITE LIST::CONSP-OF-MAP-CONS))
 (437 119 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (429 429 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (429 429 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (427 427 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (427 427 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (329 329 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (308 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (306 306 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (292 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (291 291 (:REWRITE DEFAULT-+-1))
 (283 283 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (283 283 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (274 2 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (266 121 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (252 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (237 237 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (237 237 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (196 196 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (196 196 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (194 194 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (194 194 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (194 194 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (194 16 (:REWRITE LIST::CAR-APPEND-CONSP))
 (187 59 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (159 119 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (158 2 (:REWRITE LIST::OPEN-EQUIV))
 (132 6 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (111 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-TWO))
 (84 6 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (83 8 (:REWRITE LIST::CDR-APPEND-CONSP))
 (80 16 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (78 13 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (78 13 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (76 1 (:REWRITE LIST::APPEND-EQUAL-SELF-TWO))
 (59 59 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (48 48 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (47 4 (:REWRITE LIST::APPEND-EQUAL-SELF-ONE))
 (40 40 (:DEFINITION SYN::IF))
 (40 8 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (30 30 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (30 30 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (30 30 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (30 30 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (30 30 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (30 10 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (29 29 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (29 29 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (24 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-ONE))
 (16 16 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (16 16 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (16 16 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (16 16 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (15 1 (:REWRITE LIST::MEMBERP-OF-CONS-REDUCE-CHEAP))
 (13 1 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (12 12 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (12 6 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (8 4 (:DEFINITION FIX))
 (8 1 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (8 1 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (6 6 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (6 6 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (6 6 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (6 6 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (5 1 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (3 3 (:TYPE-PRESCRIPTION LIST::FINALCDR))
 (2 1 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (1 1 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 (1 1 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN)
(CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-IRRELEVANT
 (1452 12 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (360 24 (:DEFINITION SYN::QUOTEP))
 (243 243 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (240 156 (:REWRITE DEFAULT-CAR))
 (240 24 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (236 164 (:REWRITE DEFAULT-CDR))
 (180 12 (:DEFINITION SYN::CONSP))
 (144 12 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (120 24 (:DEFINITION SYN::DEQUOTE))
 (108 36 (:DEFINITION SYN::LEN))
 (86 86 (:REWRITE CLR-DIFFERENTIAL))
 (86 86 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (86 86 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (86 86 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (86 86 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (86 86 (:META CONS-EQUAL-SMART-META))
 (84 12 (:DEFINITION SYN::CDR))
 (72 72 (:TYPE-PRESCRIPTION SYN::LEN))
 (60 60 (:TYPE-PRESCRIPTION BOOLEANP))
 (60 12 (:DEFINITION SYN::CAR))
 (48 12 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (48 12 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (36 12 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (24 24 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (24 24 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (24 24 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (24 24 (:TYPE-PRESCRIPTION LEN))
 (24 24 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (24 24 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (24 12 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (12 12 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (12 12 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (12 12 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (12 12 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (12 12 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (12 12 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (12 12 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (12 12 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (12 12 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (12 12 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (12 12 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (12 12 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (12 12 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 )
(CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-PREFIXED-TAIL-DOMINATOR
 (707 5 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (642 10 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (616 8 (:DEFINITION SYN::CONSP-REC))
 (510 6 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (396 138 (:REWRITE DEFAULT-CDR))
 (354 18 (:DEFINITION SYN::QUOTEP))
 (269 269 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-CONSP))
 (253 13 (:DEFINITION SYN::CONSP))
 (242 108 (:REWRITE DEFAULT-CAR))
 (232 232 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (216 39 (:DEFINITION SYN::LEN))
 (206 7 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (159 10 (:DEFINITION LEN))
 (158 158 (:TYPE-PRESCRIPTION SYN::LEN))
 (136 8 (:DEFINITION SYN::APPENDP))
 (126 18 (:DEFINITION SYN::DEQUOTE))
 (112 61 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (108 10 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (94 20 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (84 7 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (73 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (66 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (64 64 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (61 61 (:REWRITE CLR-DIFFERENTIAL))
 (61 61 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (61 61 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (61 61 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (61 61 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (61 61 (:META CONS-EQUAL-SMART-META))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (51 51 (:TYPE-PRESCRIPTION BOOLEANP))
 (50 5 (:DEFINITION SYN::CDR))
 (46 20 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (35 5 (:DEFINITION SYN::CAR))
 (28 7 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (27 7 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (22 15 (:REWRITE DEFAULT-+-2))
 (21 7 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (15 15 (:REWRITE DEFAULT-+-1))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (12 12 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (12 12 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (10 10 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (10 10 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (9 9 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (9 9 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (9 9 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (8 4 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (8 4 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (8 4 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (8 4 (:REWRITE SYN::EVAL-CONSTRAINT-2))
 (8 4 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (8 4 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (8 4 (:REWRITE SYN::EVAL-CONSTRAINT-10))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (7 7 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (7 7 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (7 7 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (7 7 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (7 7 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (7 7 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (5 1 (:REWRITE FOLD-CONSTS-IN-+))
 (4 4 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (3 3 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-DOMINATION))
 (2 2 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (2 2 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (2 2 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (2 1 (:REWRITE UNICITY-OF-0))
 (2 1 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (1 1 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (1 1 (:DEFINITION FIX))
 )
(CPATH::SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-FN
 (291 291 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (277 208 (:REWRITE DEFAULT-CDR))
 (231 114 (:REWRITE DEFAULT-+-2))
 (152 90 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (131 114 (:REWRITE DEFAULT-+-1))
 (105 5 (:DEFINITION LENGTH))
 (66 33 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 44 (:REWRITE DEFAULT-CAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (40 10 (:REWRITE COMMUTATIVITY-OF-+))
 (40 10 (:DEFINITION INTEGER-ABS))
 (33 33 (:TYPE-PRESCRIPTION BOOLEANP))
 (33 33 (:REWRITE CLR-DIFFERENTIAL))
 (33 33 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (33 33 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (33 33 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (33 33 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (33 33 (:META CONS-EQUAL-SMART-META))
 (27 3 (:DEFINITION TRUE-LISTP))
 (24 8 (:DEFINITION SYN::LEN))
 (24 6 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (14 14 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (14 14 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (14 14 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (13 11 (:REWRITE DEFAULT-<-2))
 (12 11 (:REWRITE DEFAULT-<-1))
 (12 6 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:REWRITE DEFAULT-REALPART))
 (5 5 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE DEFAULT-IMAGPART))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (5 5 (:REWRITE DEFAULT-COERCE-2))
 (5 5 (:REWRITE DEFAULT-COERCE-1))
 )
(CPATH::SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-IRRELEVANT
 (2328 8 (:DEFINITION CPATH::SHOW-SYNTAX-DOMINATES-P-FN))
 (1780 18 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1102 10 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (1017 1017 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (939 660 (:REWRITE DEFAULT-CDR))
 (866 537 (:REWRITE DEFAULT-CAR))
 (556 296 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (488 8 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (432 44 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (296 296 (:REWRITE CLR-DIFFERENTIAL))
 (296 296 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (296 296 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (296 296 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (296 296 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (296 296 (:META CONS-EQUAL-SMART-META))
 (284 80 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (260 260 (:TYPE-PRESCRIPTION BOOLEANP))
 (192 16 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (132 80 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (108 54 (:REWRITE DEFAULT-+-2))
 (64 16 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (64 16 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (54 54 (:REWRITE DEFAULT-+-1))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (48 16 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (44 44 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (44 44 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (32 32 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (32 32 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (32 32 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (32 16 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (32 16 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (16 16 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (16 16 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (16 16 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (16 16 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (16 16 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (16 16 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (16 16 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (16 16 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (16 16 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (16 16 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (16 16 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (16 16 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (7 1 (:REWRITE FOLD-CONSTS-IN-+))
 (3 1 (:REWRITE UNICITY-OF-0))
 (2 1 (:DEFINITION FIX))
 )
(CPATH::HYP-FOR-SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-FN
 (291 291 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (277 208 (:REWRITE DEFAULT-CDR))
 (231 114 (:REWRITE DEFAULT-+-2))
 (152 90 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (131 114 (:REWRITE DEFAULT-+-1))
 (105 5 (:DEFINITION LENGTH))
 (66 33 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 44 (:REWRITE DEFAULT-CAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (40 10 (:REWRITE COMMUTATIVITY-OF-+))
 (40 10 (:DEFINITION INTEGER-ABS))
 (33 33 (:TYPE-PRESCRIPTION BOOLEANP))
 (33 33 (:REWRITE CLR-DIFFERENTIAL))
 (33 33 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (33 33 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (33 33 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (33 33 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (33 33 (:META CONS-EQUAL-SMART-META))
 (27 3 (:DEFINITION TRUE-LISTP))
 (24 8 (:DEFINITION SYN::LEN))
 (24 6 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (14 14 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (14 14 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (14 14 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (13 11 (:REWRITE DEFAULT-<-2))
 (12 11 (:REWRITE DEFAULT-<-1))
 (12 6 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:REWRITE DEFAULT-REALPART))
 (5 5 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE DEFAULT-IMAGPART))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (5 5 (:REWRITE DEFAULT-COERCE-2))
 (5 5 (:REWRITE DEFAULT-COERCE-1))
 )
(CPATH::HYP-FOR-SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-IRRELEVANT
 (2344 8 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (2272 24 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1302 1302 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1225 887 (:REWRITE DEFAULT-CDR))
 (1043 663 (:REWRITE DEFAULT-CAR))
 (632 342 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (600 60 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (441 126 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (342 342 (:REWRITE CLR-DIFFERENTIAL))
 (342 342 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (342 342 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (342 342 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (342 342 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (342 342 (:META CONS-EQUAL-SMART-META))
 (290 290 (:TYPE-PRESCRIPTION BOOLEANP))
 (240 20 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (213 126 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (186 93 (:REWRITE DEFAULT-+-2))
 (183 3 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (177 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (153 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (93 93 (:REWRITE DEFAULT-+-1))
 (80 20 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (80 20 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (60 60 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (60 60 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (60 20 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (48 24 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (40 40 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (40 40 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (40 40 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (40 20 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (21 3 (:REWRITE FOLD-CONSTS-IN-+))
 (20 20 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (20 20 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (20 20 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (20 20 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (20 20 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (20 20 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (20 20 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (20 20 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (20 20 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (20 20 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (18 18 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (18 18 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (18 18 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (9 3 (:REWRITE UNICITY-OF-0))
 (8 8 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (8 8 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (6 3 (:DEFINITION FIX))
 )
(CPATH::SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-TO-HYP-FOR
 (4041 41 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (2079 2079 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1930 1365 (:REWRITE DEFAULT-CDR))
 (1793 1099 (:REWRITE DEFAULT-CAR))
 (1165 625 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1009 102 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (625 625 (:REWRITE CLR-DIFFERENTIAL))
 (625 625 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (625 625 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (625 625 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (625 625 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (625 625 (:META CONS-EQUAL-SMART-META))
 (540 540 (:TYPE-PRESCRIPTION BOOLEANP))
 (444 37 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (441 126 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (213 126 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (186 93 (:REWRITE DEFAULT-+-2))
 (183 3 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (177 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (153 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (148 37 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (148 37 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (111 37 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (102 102 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (102 102 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (93 93 (:REWRITE DEFAULT-+-1))
 (80 40 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (74 74 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (74 74 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (74 74 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (74 37 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (37 37 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (37 37 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (37 37 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (37 37 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (37 37 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (37 37 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (37 37 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (37 37 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (37 37 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (37 37 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (37 37 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (37 37 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (37 37 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (21 3 (:REWRITE FOLD-CONSTS-IN-+))
 (18 18 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (18 18 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (18 18 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (9 3 (:REWRITE UNICITY-OF-0))
 (6 3 (:DEFINITION FIX))
 )
(CPATH::PSEUDO-TERMP-HYP-FOR-SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P
 (1223 13 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1172 4 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (868 868 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (806 584 (:REWRITE DEFAULT-CDR))
 (582 372 (:REWRITE DEFAULT-CAR))
 (441 126 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (353 191 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (332 33 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (213 126 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (191 191 (:REWRITE CLR-DIFFERENTIAL))
 (191 191 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (191 191 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (191 191 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (191 191 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (191 191 (:META CONS-EQUAL-SMART-META))
 (186 93 (:REWRITE DEFAULT-+-2))
 (183 3 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (177 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (162 162 (:TYPE-PRESCRIPTION BOOLEANP))
 (153 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (132 11 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (93 93 (:REWRITE DEFAULT-+-1))
 (44 11 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (44 11 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (33 33 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (33 33 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (33 11 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (28 14 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (22 22 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (22 22 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (22 22 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (22 11 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (21 3 (:REWRITE FOLD-CONSTS-IN-+))
 (18 18 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (18 18 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (18 18 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (11 11 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (11 11 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (11 11 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (11 11 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (11 11 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (11 11 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (11 11 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (11 11 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (11 11 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (9 3 (:REWRITE UNICITY-OF-0))
 (6 6 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (6 3 (:DEFINITION FIX))
 (4 4 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (4 4 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 )
(CPATH::PREFIXED-TAIL-DOMINATOR-P-APPEND
 (261 5 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (127 1 (:REWRITE LIST::EQUAL-APPEND-APPEND-SIMPLE))
 (119 5 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (115 2 (:REWRITE LIST::TRUE-LISTP-FIX))
 (101 5 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (98 98 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (98 49 (:REWRITE DEFAULT-CDR))
 (95 2 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (83 83 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (72 36 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (72 36 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (64 2 (:DEFINITION TRUE-LISTP))
 (60 24 (:REWRITE DEFAULT-CAR))
 (48 4 (:DEFINITION LEN))
 (44 17 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (38 10 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (36 36 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (34 34 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (32 8 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (27 5 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (24 10 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (22 12 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (22 8 (:REWRITE LIST::CONSP-APPEND))
 (22 5 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (22 5 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (21 1 (:REWRITE CPATH::DIVERGE-IMPLIES-UNEQUAL-EXTENSIONS))
 (20 5 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (17 17 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (17 17 (:REWRITE CLR-DIFFERENTIAL))
 (17 17 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (17 17 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (17 17 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (17 17 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (17 17 (:META CONS-EQUAL-SMART-META))
 (16 8 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (13 13 (:TYPE-PRESCRIPTION BOOLEANP))
 (13 5 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (12 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (10 10 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (10 5 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (10 5 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (8 8 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (8 8 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (8 8 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (8 4 (:REWRITE DEFAULT-+-2))
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (5 5 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (5 5 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (5 5 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (5 5 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (5 5 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (5 5 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (5 5 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (5 5 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (5 5 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (5 5 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 4 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (4 4 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (3 2 (:REWRITE LIST::FIX-OF-NON-CONSP))
 (3 2 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (3 2 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (1 1 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (1 1 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 (1 1 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 )
(CPATH::LEN-LEN-LEN-INDUCTION)
(CPATH::EQUIV-IMPLIES-EQUAL-PREFIXED-TAIL-DOMINATOR-P-2
 (18660 101 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (17169 805 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (16445 313 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (10256 338 (:DEFINITION TRUE-LISTP))
 (5302 5302 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4915 4083 (:REWRITE DEFAULT-CDR))
 (3905 102 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (2593 2593 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (2554 205 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1693 142 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1639 1639 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1596 936 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1577 805 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (1505 1501 (:REWRITE DEFAULT-CAR))
 (1322 1322 (:REWRITE CLR-DIFFERENTIAL))
 (1322 1322 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1322 1322 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1322 1322 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1322 1322 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1322 1322 (:META CONS-EQUAL-SMART-META))
 (1260 676 (:REWRITE DEFAULT-+-2))
 (1178 1178 (:TYPE-PRESCRIPTION BOOLEANP))
 (853 210 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (796 210 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (676 676 (:REWRITE DEFAULT-+-1))
 (590 304 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (413 413 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (413 413 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (404 404 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (404 404 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (404 404 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (356 192 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (272 199 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (264 192 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (226 226 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (226 226 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (226 226 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (208 208 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (208 208 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (205 205 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (205 205 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (205 205 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (205 205 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (205 205 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (171 94 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (142 142 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (142 142 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (113 113 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (101 101 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (88 2 (:REWRITE CPATH::DOMINATES-OF-CONS-ONE))
 (46 1 (:REWRITE CPATH::DOMINATES-OF-CONS-TWO))
 (38 2 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-ONE))
 (20 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-TWO))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-PREFIXED-TAIL-DOMINATOR
 (7459 55 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (6191 97 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (5968 67 (:DEFINITION SYN::CONSP-REC))
 (4979 9 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (4921 2235 (:REWRITE DEFAULT-CDR))
 (3594 1581 (:REWRITE DEFAULT-CAR))
 (3497 3497 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2067 67 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (2004 50 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (1541 9 (:REWRITE CPATH::SYNTAX-QUOTE-DOMINATES-IMPLIES-DOMINATES))
 (1432 734 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1350 1 (:REWRITE LIST::LIST-EQUIV-HACK))
 (1267 63 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (918 6 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (880 15 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (837 63 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (743 155 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (734 734 (:REWRITE CLR-DIFFERENTIAL))
 (734 734 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (734 734 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (734 734 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (734 734 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (734 734 (:META CONS-EQUAL-SMART-META))
 (677 677 (:TYPE-PRESCRIPTION BOOLEANP))
 (621 253 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (597 1 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (558 6 (:REWRITE LIST::CDR-APPEND-CONSP))
 (504 14 (:DEFINITION SYN::CONJOIN))
 (485 10 (:DEFINITION SYN::TRUEP))
 (480 480 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (440 13 (:REWRITE LIST::CONSP-APPEND))
 (370 185 (:REWRITE DEFAULT-+-2))
 (367 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (332 1 (:REWRITE LIST::TRUE-LISTP-FIX))
 (317 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (260 63 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (246 4 (:REWRITE LIST::CAR-APPEND-CONSP))
 (238 150 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (238 150 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (238 150 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (210 62 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (190 6 (:DEFINITION TRUE-LISTP))
 (186 63 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (185 185 (:REWRITE DEFAULT-+-1))
 (184 1 (:REWRITE LIST::TRUE-LISTP-OF-APPEND))
 (145 125 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (144 14 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (134 134 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (133 125 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (125 125 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (120 62 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (119 119 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (118 118 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (118 118 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (116 96 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (108 63 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (100 96 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (97 97 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (97 97 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (96 96 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (90 45 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (81 62 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (63 63 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (63 63 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (63 63 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (63 63 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (63 63 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (63 63 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (63 63 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (63 63 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (62 62 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (62 62 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (62 62 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (60 1 (:REWRITE CPATH::TRUE-LISTP-S2L))
 (52 52 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (44 44 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (44 44 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (44 44 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (30 5 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (15 5 (:REWRITE UNICITY-OF-0))
 (13 3 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (10 5 (:DEFINITION FIX))
 (9 9 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (9 9 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-DOMINATION))
 (6 6 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (6 1 (:REWRITE LIST::FIX-OF-NON-CONSP))
 (6 1 (:REWRITE CPATH::DOMINATES-OF-APPEND-SELF-ONE))
 (5 5 (:DEFINITION SYN::IF))
 (5 1 (:REWRITE LIST::EQUIV-OF-APPEND-SELF-TWO))
 (4 4 (:REWRITE SYN::IFF-CONJOIN))
 (4 4 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-APPEND-SELF-ONE))
 )
(CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR
 (11320 30 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (8590 49 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (6955 548 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (3809 43 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (3787 21 (:REWRITE LIST::CONSP-OF-MAP-CONS))
 (3318 1438 (:REWRITE DEFAULT-CDR))
 (2847 2847 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2697 548 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (2607 525 (:REWRITE DEFAULT-CAR))
 (2252 548 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (2059 1951 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2048 20 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (1855 19 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (1710 136 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (1688 19 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (1594 498 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (1444 20 (:REWRITE LIST::OPEN-EQUIV))
 (1154 6 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-TWO))
 (1137 1101 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (1101 1101 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (1049 526 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (990 14 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (957 539 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (808 40 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (760 16 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (728 8 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (713 2 (:DEFINITION SUBSETP-EQUAL))
 (548 548 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (542 542 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (542 542 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (542 302 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (512 512 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (512 512 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (512 16 (:DEFINITION TRUE-LISTP))
 (506 506 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (506 506 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (488 96 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (488 96 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (474 474 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (474 474 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (444 20 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (375 30 (:DEFINITION LEN))
 (291 27 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (284 92 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (241 2 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (238 130 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (210 118 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (195 60 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (165 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (162 3 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (141 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (138 138 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (138 138 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (136 136 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (136 136 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (132 132 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (130 130 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (118 118 (:REWRITE CLR-DIFFERENTIAL))
 (118 118 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (118 118 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (118 118 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (118 118 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (118 118 (:META CONS-EQUAL-SMART-META))
 (104 7 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (99 60 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (97 32 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (92 92 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (89 89 (:TYPE-PRESCRIPTION BOOLEANP))
 (88 88 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (80 40 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (66 45 (:REWRITE DEFAULT-+-2))
 (62 31 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (54 54 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (53 53 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (53 53 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (53 53 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (53 53 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (53 19 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (49 49 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (49 49 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (45 45 (:REWRITE DEFAULT-+-1))
 (43 43 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (43 43 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (38 38 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (28 28 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (28 28 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (27 3 (:REWRITE LIST::SUBSETP-CONS-1))
 (19 19 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (19 19 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (19 19 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (16 16 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (16 8 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (16 8 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (15 3 (:REWRITE FOLD-CONSTS-IN-+))
 (14 14 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (14 14 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (8 8 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (7 7 (:REWRITE LIST::SUBSET-CHAINING-2))
 (7 7 (:REWRITE LIST::SUBSET-CHAINING-1))
 (6 6 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 (6 6 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (6 6 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (6 6 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (6 3 (:REWRITE UNICITY-OF-0))
 (3 3 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (3 3 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (3 3 (:DEFINITION FIX))
 (2 1 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 )
(CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P
 (426 1 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (402 3 (:DEFINITION CPATH::TAIL-DOMINATES))
 (358 2 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (336 8 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (285 6 (:REWRITE MV-NTH-TO-VAL))
 (231 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (217 5 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (205 1 (:DEFINITION LIST::MEMBERP))
 (185 2 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (132 11 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (52 52 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (44 11 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (44 11 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (34 23 (:REWRITE DEFAULT-CDR))
 (33 11 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (27 27 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (27 27 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (27 27 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (22 22 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (22 22 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (22 22 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (22 22 (:TYPE-PRESCRIPTION LEN))
 (22 11 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (22 1 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (21 12 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (16 16 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (14 1 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (11 11 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (11 11 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (11 11 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (11 11 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (11 11 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (11 11 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (11 11 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (10 4 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (10 3 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (10 3 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (7 7 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (3 3 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (3 3 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (3 3 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (3 3 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (3 3 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (3 3 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (3 3 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (2 2 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (2 2 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (2 2 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (2 1 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (1 1 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (1 1 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (1 1 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (1 1 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (1 1 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (1 1 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (1 1 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (1 1 (:REWRITE BAG::COUNT-0-FOR-NON-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 )
(CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES
 (2339 10 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (1768 15 (:DEFINITION CPATH::TAIL-DOMINATES))
 (1105 28 (:REWRITE MV-NTH-TO-VAL))
 (745 24 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (621 58 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (594 6 (:DEFINITION CPATH::PREFIXES))
 (529 529 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (402 288 (:REWRITE DEFAULT-CDR))
 (342 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (313 7 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (303 15 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (285 6 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (282 2 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (241 58 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (232 232 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (232 232 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (223 58 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (192 6 (:DEFINITION TRUE-LISTP))
 (131 131 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (131 131 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (130 76 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (122 2 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (120 39 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (118 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (110 61 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (104 52 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (104 52 (:REWRITE DEFAULT-+-2))
 (102 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (97 92 (:REWRITE DEFAULT-CAR))
 (96 8 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (84 4 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (79 79 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (78 78 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (78 78 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (62 35 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (61 61 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (58 58 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (58 58 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (58 58 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (52 52 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (52 52 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (52 52 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (52 52 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (52 52 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (52 52 (:REWRITE DEFAULT-+-1))
 (51 51 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (49 49 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (37 5 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (35 35 (:REWRITE CLR-DIFFERENTIAL))
 (35 35 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (35 35 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (35 35 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (35 35 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (35 35 (:META CONS-EQUAL-SMART-META))
 (34 10 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (34 10 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (33 33 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (30 15 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (29 29 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (27 27 (:TYPE-PRESCRIPTION BOOLEANP))
 (20 20 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (20 20 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (20 10 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (20 7 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (15 15 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (15 15 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (15 15 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (15 15 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (15 15 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (15 15 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (15 15 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (14 2 (:REWRITE FOLD-CONSTS-IN-+))
 (13 7 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (12 3 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (10 10 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (9 9 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (9 9 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (7 7 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (6 2 (:REWRITE UNICITY-OF-0))
 (5 5 (:REWRITE LIST::MEMBERP-OF-NIL))
 (4 2 (:DEFINITION FIX))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (3 3 (:REWRITE LIST::OPEN-EQUIV))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (3 3 (:REWRITE CAR-CONS))
 (2 2 (:REWRITE VAL-OF-CONS))
 (2 2 (:REWRITE CDR-CONS))
 )
(CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES
 (2093 10 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (1420 10 (:DEFINITION CPATH::TAIL-DOMINATES))
 (1279 29 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (1030 20 (:REWRITE MV-NTH-TO-VAL))
 (820 20 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (528 44 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (279 279 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (177 5 (:DEFINITION CPATH::PREFIXES))
 (176 44 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (176 44 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (165 116 (:REWRITE DEFAULT-CDR))
 (133 40 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (132 44 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (107 5 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (105 58 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (98 98 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (98 98 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (98 98 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (88 88 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (88 88 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (88 88 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (88 88 (:TYPE-PRESCRIPTION LEN))
 (88 44 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (81 81 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (65 60 (:REWRITE DEFAULT-CAR))
 (60 5 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (58 58 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (58 58 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (58 58 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (44 44 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (44 44 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (44 44 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (44 44 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (44 44 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (44 44 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (44 44 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (44 44 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (44 44 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (44 44 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (34 10 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (34 10 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (30 30 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (26 9 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (25 5 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (20 10 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (17 9 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (16 8 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (16 8 (:REWRITE CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (15 15 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (15 15 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (15 15 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (15 15 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (15 15 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (15 15 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (15 15 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (15 10 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (10 10 (:REWRITE CLR-DIFFERENTIAL))
 (10 10 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (10 10 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (10 10 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (10 10 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (10 10 (:META CONS-EQUAL-SMART-META))
 (10 5 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (9 9 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (8 8 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P))
 (5 5 (:TYPE-PRESCRIPTION LIST::DISJOINT))
 (5 5 (:TYPE-PRESCRIPTION BOOLEANP))
 (5 5 (:REWRITE LIST::MEMBERP-OF-NIL))
 (5 5 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (5 5 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (5 5 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::PREFIXED-TAIL-DOMINATOR-IMPLIES-MEMBERSHIP-TAIL-DOMINATES
 (9440 21 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (7227 68 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (7112 346 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (6704 141 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (5574 31 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (5419 470 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (5089 787 (:REWRITE DEFAULT-CAR))
 (3772 26 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (3678 1776 (:REWRITE DEFAULT-CDR))
 (2890 2890 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2820 13 (:DEFINITION SUBSETP-EQUAL))
 (2089 470 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1896 1837 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1887 470 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (1837 1837 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1403 1 (:REWRITE LIST::SUBSETP-CONS-2))
 (1200 37 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (1182 1182 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (917 897 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (909 73 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (897 897 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (897 1 (:DEFINITION REMOVE-EQUAL))
 (831 478 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (738 738 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (696 13 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (683 340 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (668 14 (:REWRITE LIST::CONSP-OF-MAP-CONS))
 (661 661 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (661 661 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (574 113 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (574 113 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (569 387 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (566 3 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-REMOVE))
 (534 534 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (501 305 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (500 500 (:REWRITE CLR-DIFFERENTIAL))
 (500 500 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (500 500 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (500 500 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (500 500 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (500 500 (:META CONS-EQUAL-SMART-META))
 (482 482 (:TYPE-PRESCRIPTION BOOLEANP))
 (470 470 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (470 5 (:REWRITE LIST::MEMBER-MAP-CONS))
 (467 467 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (467 467 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (455 73 (:REWRITE LIST::OPEN-EQUIV))
 (454 454 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (454 454 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (450 450 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (450 450 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (450 159 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (364 10 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (342 340 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (331 25 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (279 10 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (243 3 (:REWRITE LIST::REMOVE-REDUCTON))
 (197 3 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-TWO))
 (194 1 (:REWRITE LIST::SUBSET-REMOVE-REDUCTION-1))
 (177 25 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (175 1 (:REWRITE LIST::SUBSETP-REMOVE-BY-SUBSET))
 (174 174 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (171 57 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (169 169 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (168 50 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (164 164 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (159 159 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (126 63 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (126 63 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (121 11 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (115 2 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (114 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (109 42 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (98 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (84 50 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (68 68 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (66 37 (:REWRITE DEFAULT-+-2))
 (63 63 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (57 57 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (54 1 (:REWRITE CPATH::DOMINATES-OF-CONS-ONE))
 (53 53 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (53 53 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (53 53 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (53 53 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (52 1 (:REWRITE LIST::MEMBERP-REMOVE))
 (40 40 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (37 37 (:REWRITE DEFAULT-+-1))
 (31 31 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (31 31 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (30 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-CONS-ONE))
 (26 26 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (26 26 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (26 13 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (25 25 (:REWRITE LIST::SUBSET-CHAINING-2))
 (25 25 (:REWRITE LIST::SUBSET-CHAINING-1))
 (25 25 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (25 10 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (20 20 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (20 20 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (20 20 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (12 2 (:REWRITE FOLD-CONSTS-IN-+))
 (10 10 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (10 10 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (10 10 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (9 9 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (9 9 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (9 7 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (9 1 (:REWRITE LIST::SUBSETP-CONS-1))
 (8 8 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (8 8 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (8 8 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (8 4 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (5 5 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 (5 2 (:REWRITE UNICITY-OF-0))
 (4 4 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (3 2 (:DEFINITION FIX))
 (1 1 (:REWRITE LIST::MEMBERP-OF-NIL))
 )
(CPATH::SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-MEMBERP)
(CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P)
(CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION
 (411349 1874 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (224685 1539 (:DEFINITION CPATH::TAIL-DOMINATES))
 (209190 4598 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (164673 3078 (:REWRITE MV-NTH-TO-VAL))
 (152000 760 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (129553 2318 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (114171 2299 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (82536 6878 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (45126 23577 (:REWRITE DEFAULT-CDR))
 (43353 43353 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (33768 1590 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (32284 617 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (28411 779 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-IMPLIES-MEMBERSHIP-TAIL-DOMINATES))
 (28319 779 (:DEFINITION CPATH::PREFIXES))
 (27512 6878 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (27512 6878 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (26960 161 (:REWRITE LIST::TRUE-LISTP-FIX))
 (22124 80 (:REWRITE BAG::CONSP-REMOVE-1-REWRITE))
 (20616 6878 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (20320 666 (:DEFINITION TRUE-LISTP))
 (17786 17786 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (17413 779 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (16423 16423 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (16423 16423 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (16423 16423 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (13813 7676 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (13756 13756 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (13756 13756 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (13756 13756 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (13756 6878 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (12168 11247 (:REWRITE DEFAULT-CAR))
 (9966 9966 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (9966 9966 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (9196 9196 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (9196 9196 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (8558 80 (:REWRITE BAG::LEN-AT-MOST-1-AND-MEMBERP-MEAN-LEN-EXACTLY-1))
 (8431 2325 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (7906 26 (:REWRITE BAG::LEN-1-AND-MEMBERP-MEANS-YOU-KNOW-X))
 (7698 26 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (7386 3178 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (6878 6878 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (6878 6878 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (6878 6878 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (6878 6878 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (6878 6878 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (6878 6878 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (6878 6878 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (6878 6878 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (6878 6878 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (6878 6878 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (6822 18 (:REWRITE LIST::FINALCDR-OF-CDR))
 (6171 458 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (5793 448 (:DEFINITION LEN))
 (5653 176 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (5170 5170 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (4502 4502 (:REWRITE CLR-DIFFERENTIAL))
 (4502 4502 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (4502 4502 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (4502 4502 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (4502 4502 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (4502 4502 (:META CONS-EQUAL-SMART-META))
 (4422 1495 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (3945 3945 (:TYPE-PRESCRIPTION BOOLEANP))
 (3895 779 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (3731 3152 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (3711 72 (:DEFINITION SUBSETP-EQUAL))
 (3257 3257 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3224 3224 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (3224 3224 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (3224 3224 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (3152 3152 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (3152 3152 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (3121 1590 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (3070 893 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (2927 1495 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (1732 81 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (1692 28 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (1620 28 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (1610 72 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (1563 784 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (1552 893 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1517 42 (:REWRITE CPATH::ALL-DIVERGE-OF-CDR))
 (1495 1495 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (1420 28 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (1374 30 (:REWRITE BAG::UNIQUE-MEANS-CAR-NOT-MEMBERP-OF-CDR))
 (1218 609 (:REWRITE DEFAULT-+-2))
 (956 40 (:REWRITE BAG::CAR-OF-REMOVE-1))
 (931 42 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (856 856 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (856 856 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (779 779 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (609 609 (:REWRITE DEFAULT-+-1))
 (407 407 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (407 407 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (407 407 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (407 407 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (387 75 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (367 27 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (352 352 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (302 302 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (270 15 (:REWRITE BAG::UNIQUE-OF-CDR))
 (250 125 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (214 176 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (196 28 (:REWRITE FOLD-CONSTS-IN-+))
 (194 123 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (176 176 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (176 176 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (176 176 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (176 176 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (175 123 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (162 162 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (153 153 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (150 150 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (150 150 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (150 150 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (124 124 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (123 123 (:REWRITE LIST::SUBSET-CHAINING-2))
 (123 123 (:REWRITE LIST::SUBSET-CHAINING-1))
 (123 123 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (108 54 (:REWRITE DEFAULT-<-2))
 (96 96 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (84 28 (:REWRITE UNICITY-OF-0))
 (81 81 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (81 81 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (81 81 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (81 81 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (75 75 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (56 28 (:DEFINITION FIX))
 (54 54 (:REWRITE DEFAULT-<-1))
 (52 26 (:REWRITE CPATH::MEMBERP-OF-CADR))
 (47 47 (:REWRITE LIST::SUBSETP-ID))
 (39 39 (:TYPE-PRESCRIPTION LIST::FINALCDR))
 (34 26 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (13 13 (:REWRITE LIST::EQUAL-CONS-CASES))
 (2 2 (:REWRITE LIST::MEMBERP-CAR))
 )
(CPATH::PERM-IMPLIES-EQUAL-CONTAINS-PREFIXED-TAIL-DOMINATOR-P-1
 (212812 1696 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (105096 720 (:DEFINITION CPATH::TAIL-DOMINATES))
 (96384 2098 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (77894 1440 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (77040 1440 (:REWRITE MV-NTH-TO-VAL))
 (75630 418 (:REWRITE BAG::CONSP-REMOVE-1-REWRITE))
 (65657 2624 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (58502 86 (:DEFINITION CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P))
 (45686 400 (:REWRITE BAG::LEN-AT-MOST-1-AND-MEMBERP-MEAN-LEN-EXACTLY-1))
 (44175 209 (:DEFINITION SUBSETP-EQUAL))
 (41832 3486 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (41428 149 (:REWRITE BAG::PERM-OF-NON-CONSP-TWO))
 (38462 230 (:REWRITE BAG::NON-MEMBERSHIP-REMOVE-1))
 (38419 18587 (:REWRITE DEFAULT-CDR))
 (38264 18 (:REWRITE BAG::REMOVE-1-OF-REMOVE-1))
 (36436 384 (:REWRITE BAG::LEN-1-AND-MEMBERP-MEANS-YOU-KNOW-X))
 (35280 720 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (31425 31425 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (27695 11473 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (27532 1392 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (26640 720 (:DEFINITION CPATH::PREFIXES))
 (25848 558 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (25770 720 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-IMPLIES-MEMBERSHIP-TAIL-DOMINATES))
 (22920 384 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (22584 446 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (17654 550 (:DEFINITION TRUE-LISTP))
 (17378 1567 (:DEFINITION LEN))
 (16560 720 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (14246 446 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (14198 2304 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (13944 3486 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (13944 3486 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (13362 13362 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (12618 18 (:REWRITE BAG::LEN-OF-REMOVE-1))
 (10404 3486 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (10011 8869 (:REWRITE DEFAULT-CAR))
 (9994 3134 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (9018 18 (:REWRITE BAG::REMOVE-1-DOES-NOTHING-REWRITE))
 (7990 7990 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (7990 7990 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (7990 7990 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (7672 4196 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (6972 6972 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (6972 6972 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (6972 6972 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (6972 3486 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (6764 424 (:REWRITE LIST::EQUAL-CONS-CASES))
 (6048 1484 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (6048 1484 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (6037 413 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (5176 428 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (4802 3134 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (4674 4674 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (4671 163 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (4499 4499 (:REWRITE CLR-DIFFERENTIAL))
 (4499 4499 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (4499 4499 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (4499 4499 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (4499 4499 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (4499 4499 (:META CONS-EQUAL-SMART-META))
 (4430 209 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (4320 1440 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (4198 4198 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (4198 4198 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (4196 4196 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (4196 4196 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (3600 720 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (3486 3486 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (3486 3486 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (3486 3486 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (3486 3486 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (3486 3486 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (3486 3486 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (3486 3486 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (3486 3486 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (3486 3486 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (3486 3486 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (3289 3289 (:TYPE-PRESCRIPTION BOOLEANP))
 (3170 1585 (:REWRITE DEFAULT-+-2))
 (3052 281 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (2880 1440 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (2513 2513 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (2513 2513 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (2413 2413 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (2304 2304 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (2266 2266 (:TYPE-PRESCRIPTION LIST::FINALCDR))
 (2204 2204 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (2124 118 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (1600 100 (:REWRITE BAG::REMOVE-BAG-OF-CONS))
 (1585 1585 (:REWRITE DEFAULT-+-1))
 (1449 1449 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1440 1440 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (1440 720 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (1298 118 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (1004 100 (:REWRITE BAG::MEMBERP-OF-REMOVE-1-IRREL))
 (1000 100 (:REWRITE BAG::SUBBAGP-MEANS-REMOVE-BAG-IS-NIL))
 (858 429 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (826 826 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (826 826 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (826 826 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (736 736 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (736 736 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (720 720 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (562 562 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (562 562 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (536 10 (:REWRITE BAG::PERM-OF-CONS-TO-FALSE-ALT))
 (446 446 (:REWRITE LIST::SUBSET-CHAINING-2))
 (446 446 (:REWRITE LIST::SUBSET-CHAINING-1))
 (446 446 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (424 384 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (414 360 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (413 413 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (388 281 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (384 384 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (384 384 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (384 384 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (384 384 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (376 172 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P))
 (344 172 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (344 172 (:REWRITE CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (326 326 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (320 320 (:REWRITE LIST::SUBSETP-ID))
 (300 100 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (281 281 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (281 281 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (281 281 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (281 281 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (248 230 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (236 236 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (200 200 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (200 100 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (200 100 (:REWRITE BAG::REMOVE-BAG-NOT-CONSP-X))
 (136 136 (:TYPE-PRESCRIPTION BAG::REMOVE-BAG))
 (131 131 (:REWRITE BAG::MY-PERM-COMMON-ELIMINATION))
 (118 118 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (118 118 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (118 118 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (118 118 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (118 118 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (112 112 (:META BAG::*META*-SYNTAX-EV-REMOVE-1-PERM))
 (100 100 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (100 100 (:REWRITE BAG::REMOVE-1-IMPLIES-REMOVE-BAG-SINGLETON))
 (100 100 (:REWRITE BAG::MEMBERP-OF-REMOVE-1-IRREL-CHEAP))
 (100 100 (:REWRITE LIST::FIX-EQUIV))
 (100 100 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (100 100 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (60 34 (:REWRITE DEFAULT-<-2))
 (34 34 (:REWRITE DEFAULT-<-1))
 (24 24 (:REWRITE LIST::MEMBERP-CAR))
 )
(CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-APPEND-2
 (11532 90 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (7441 36 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (5366 36 (:DEFINITION CPATH::TAIL-DOMINATES))
 (5133 108 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (4398 72 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (3852 72 (:REWRITE MV-NTH-TO-VAL))
 (2160 180 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1764 36 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (1552 36 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-IMPLIES-MEMBERSHIP-TAIL-DOMINATES))
 (1332 36 (:DEFINITION CPATH::PREFIXES))
 (1183 1183 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1026 234 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (867 534 (:REWRITE DEFAULT-CDR))
 (828 36 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (720 180 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (720 180 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (684 684 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (540 180 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (468 315 (:REWRITE DEFAULT-CAR))
 (414 414 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (414 414 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (414 414 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (396 396 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (396 216 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (381 216 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (360 360 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (360 360 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (360 360 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (360 360 (:TYPE-PRESCRIPTION LEN))
 (360 180 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (356 356 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (356 178 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (356 178 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (271 18 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (234 234 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (216 216 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (216 216 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (216 216 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (216 72 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (180 180 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (180 180 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (180 180 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (180 180 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (180 180 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (180 180 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (180 180 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (180 180 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (180 180 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (180 180 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (180 36 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (180 36 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (180 36 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (178 178 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (144 72 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (106 106 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (106 106 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (90 54 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (72 72 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (72 72 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (72 72 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (72 72 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (72 72 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (72 72 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (72 72 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (72 72 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (72 36 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (54 54 (:REWRITE CLR-DIFFERENTIAL))
 (54 54 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (54 54 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (54 54 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (54 54 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (54 54 (:META CONS-EQUAL-SMART-META))
 (54 9 (:DEFINITION BINARY-APPEND))
 (45 15 (:REWRITE LIST::CONSP-APPEND))
 (36 36 (:TYPE-PRESCRIPTION BOOLEANP))
 (36 36 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (36 36 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (36 36 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (18 18 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (18 18 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (18 9 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (18 9 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (9 9 (:REWRITE LIST::CDR-APPEND-CONSP))
 (9 9 (:REWRITE LIST::CAR-APPEND-CONSP))
 )
(CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-APPEND-1
 (672 1 (:DEFINITION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (604 5 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (392 2 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (292 2 (:DEFINITION CPATH::TAIL-DOMINATES))
 (276 6 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (226 4 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (214 4 (:REWRITE MV-NTH-TO-VAL))
 (120 10 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (98 2 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (74 2 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-IMPLIES-MEMBERSHIP-TAIL-DOMINATES))
 (74 2 (:DEFINITION CPATH::PREFIXES))
 (62 62 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (57 13 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (46 2 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (41 29 (:REWRITE DEFAULT-CDR))
 (40 10 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (40 10 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (38 38 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (30 10 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (23 23 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (23 23 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (23 23 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (22 22 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (22 12 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (20 20 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (20 20 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (20 20 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (20 20 (:TYPE-PRESCRIPTION LEN))
 (20 10 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (19 17 (:REWRITE DEFAULT-CAR))
 (13 13 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (12 12 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (12 12 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (12 12 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (12 12 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (12 4 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (12 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (10 10 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (10 10 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (10 10 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (10 10 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (10 10 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (10 10 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (10 10 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (10 10 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (10 10 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (10 10 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (10 2 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (10 2 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (10 2 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (9 9 (:TYPE-PRESCRIPTION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (8 4 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (5 3 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (4 4 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (4 4 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (4 4 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (4 4 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (4 4 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (4 4 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (4 4 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (4 4 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (4 2 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (3 3 (:REWRITE CLR-DIFFERENTIAL))
 (3 3 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (3 3 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (3 3 (:META CONS-EQUAL-SMART-META))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (2 2 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (1 1 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (1 1 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 )
(CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P)
(CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION
 (31849 1495 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (30479 579 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (26960 161 (:REWRITE LIST::TRUE-LISTP-FIX))
 (22124 80 (:REWRITE BAG::CONSP-REMOVE-1-REWRITE))
 (19545 5707 (:REWRITE DEFAULT-CDR))
 (19104 628 (:DEFINITION TRUE-LISTP))
 (8558 80 (:REWRITE BAG::LEN-AT-MOST-1-AND-MEMBERP-MEAN-LEN-EXACTLY-1))
 (7906 26 (:REWRITE BAG::LEN-1-AND-MEMBERP-MEANS-YOU-KNOW-X))
 (7698 26 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (6822 18 (:REWRITE LIST::FINALCDR-OF-CDR))
 (6591 6591 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5653 176 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (5469 421 (:DEFINITION LEN))
 (5087 879 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (4847 4847 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (3711 72 (:DEFINITION SUBSETP-EQUAL))
 (3067 3067 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2931 1495 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (2872 2730 (:REWRITE DEFAULT-CAR))
 (2854 839 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (2495 2495 (:REWRITE CLR-DIFFERENTIAL))
 (2495 2495 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2495 2495 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2495 2495 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2495 2495 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2495 2495 (:META CONS-EQUAL-SMART-META))
 (2407 805 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (2330 2330 (:TYPE-PRESCRIPTION BOOLEANP))
 (1732 81 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (1692 28 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (1620 28 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (1610 72 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (1517 42 (:REWRITE CPATH::ALL-DIVERGE-OF-CDR))
 (1444 839 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1432 853 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1420 28 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (1374 30 (:REWRITE BAG::UNIQUE-MEANS-CAR-NOT-MEMBERP-OF-CDR))
 (1362 66 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1164 582 (:REWRITE DEFAULT-+-2))
 (1102 48 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (956 40 (:REWRITE BAG::CAR-OF-REMOVE-1))
 (931 42 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (925 925 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (925 925 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (925 925 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (853 853 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (853 853 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (779 392 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (779 392 (:REWRITE CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (582 582 (:REWRITE DEFAULT-+-1))
 (407 407 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (407 407 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (407 407 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (407 407 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (392 392 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P))
 (367 27 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (360 48 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (352 352 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (302 302 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (270 15 (:REWRITE BAG::UNIQUE-OF-CDR))
 (250 125 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (214 176 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (196 28 (:REWRITE FOLD-CONSTS-IN-+))
 (194 123 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (176 176 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (176 176 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (176 176 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (176 176 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (175 123 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (162 162 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (153 153 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (124 124 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (123 123 (:REWRITE LIST::SUBSET-CHAINING-2))
 (123 123 (:REWRITE LIST::SUBSET-CHAINING-1))
 (123 123 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (115 115 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (115 115 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (108 54 (:REWRITE DEFAULT-<-2))
 (96 96 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (96 96 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (96 96 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (96 96 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (84 28 (:REWRITE UNICITY-OF-0))
 (81 81 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (81 81 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (81 81 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (81 81 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (56 28 (:DEFINITION FIX))
 (54 54 (:REWRITE DEFAULT-<-1))
 (52 26 (:REWRITE CPATH::MEMBERP-OF-CADR))
 (48 48 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (47 47 (:REWRITE LIST::SUBSETP-ID))
 (39 39 (:TYPE-PRESCRIPTION LIST::FINALCDR))
 (34 26 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (13 13 (:REWRITE LIST::EQUAL-CONS-CASES))
 (2 2 (:REWRITE LIST::MEMBERP-CAR))
 )
(CPATH::PERM-IMPLIES-EQUAL-CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P-1
 (36959 205 (:REWRITE BAG::CONSP-REMOVE-1-REWRITE))
 (31973 577 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (22195 196 (:REWRITE BAG::LEN-AT-MOST-1-AND-MEMBERP-MEAN-LEN-EXACTLY-1))
 (21995 102 (:DEFINITION SUBSETP-EQUAL))
 (19835 67 (:REWRITE BAG::PERM-OF-NON-CONSP-TWO))
 (19227 111 (:REWRITE BAG::NON-MEMBERSHIP-REMOVE-1))
 (19132 9 (:REWRITE BAG::REMOVE-1-OF-REMOVE-1))
 (17710 188 (:REWRITE BAG::LEN-1-AND-MEMBERP-MEANS-YOU-KNOW-X))
 (12251 621 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (11855 4083 (:REWRITE DEFAULT-CDR))
 (11499 249 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (11282 218 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (11004 188 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (8419 761 (:DEFINITION LEN))
 (7867 245 (:DEFINITION TRUE-LISTP))
 (7113 218 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (6348 421 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (6309 9 (:REWRITE BAG::LEN-OF-REMOVE-1))
 (4829 1522 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (4747 4747 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4509 9 (:REWRITE BAG::REMOVE-1-DOES-NOTHING-REWRITE))
 (3548 3198 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (3374 204 (:REWRITE LIST::EQUAL-CONS-CASES))
 (3308 192 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (3004 192 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (2315 1522 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (2176 76 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (2170 102 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (2082 2082 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (1728 1728 (:TYPE-PRESCRIPTION LEN))
 (1642 1431 (:REWRITE DEFAULT-CAR))
 (1622 1622 (:REWRITE CLR-DIFFERENTIAL))
 (1622 1622 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1622 1622 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1622 1622 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1622 1622 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1622 1622 (:META CONS-EQUAL-SMART-META))
 (1540 770 (:REWRITE DEFAULT-+-2))
 (1423 131 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (1213 371 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (1213 371 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (1210 1210 (:TYPE-PRESCRIPTION BOOLEANP))
 (1117 1117 (:TYPE-PRESCRIPTION LIST::FINALCDR))
 (990 55 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (800 50 (:REWRITE BAG::REMOVE-BAG-OF-CONS))
 (770 770 (:REWRITE DEFAULT-+-1))
 (708 708 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (605 55 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (523 523 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (523 523 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (502 50 (:REWRITE BAG::MEMBERP-OF-REMOVE-1-IRREL))
 (500 50 (:REWRITE BAG::SUBBAGP-MEANS-REMOVE-BAG-IS-NIL))
 (473 473 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (421 421 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (384 384 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (384 384 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (384 384 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (371 371 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (322 161 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (268 5 (:REWRITE BAG::PERM-OF-CONS-TO-FALSE-ALT))
 (262 262 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (262 262 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (258 129 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (258 129 (:REWRITE CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (248 24 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (218 218 (:REWRITE LIST::SUBSET-CHAINING-2))
 (218 218 (:REWRITE LIST::SUBSET-CHAINING-1))
 (218 218 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (204 188 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (199 172 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (192 192 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (184 184 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (184 184 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (184 184 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (184 184 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (179 131 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (156 156 (:REWRITE LIST::SUBSETP-ID))
 (152 152 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (150 50 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (131 131 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (131 131 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (131 131 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (131 131 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (129 129 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P))
 (120 111 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (110 110 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (100 100 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (100 50 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (100 50 (:REWRITE BAG::REMOVE-BAG-NOT-CONSP-X))
 (68 68 (:TYPE-PRESCRIPTION BAG::REMOVE-BAG))
 (63 63 (:REWRITE BAG::MY-PERM-COMMON-ELIMINATION))
 (55 55 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (55 55 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (55 55 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (55 55 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (55 55 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (52 52 (:META BAG::*META*-SYNTAX-EV-REMOVE-1-PERM))
 (50 50 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (50 50 (:REWRITE BAG::REMOVE-1-IMPLIES-REMOVE-BAG-SINGLETON))
 (50 50 (:REWRITE BAG::MEMBERP-OF-REMOVE-1-IRREL-CHEAP))
 (50 50 (:REWRITE LIST::FIX-EQUIV))
 (50 50 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (50 50 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (30 17 (:REWRITE DEFAULT-<-2))
 (24 24 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (24 24 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (17 17 (:REWRITE DEFAULT-<-1))
 (12 12 (:REWRITE LIST::MEMBERP-CAR))
 )
(CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P-APPEND-2
 (201 18 (:REWRITE CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (147 30 (:REWRITE DEFAULT-CDR))
 (144 27 (:REWRITE DEFAULT-CAR))
 (140 140 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (140 70 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (140 70 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (121 121 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (70 70 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (54 9 (:DEFINITION BINARY-APPEND))
 (46 46 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (46 46 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (45 15 (:REWRITE LIST::CONSP-APPEND))
 (36 18 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (18 18 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P))
 (18 18 (:REWRITE CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (18 18 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (18 9 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (18 9 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (9 9 (:REWRITE LIST::CDR-APPEND-CONSP))
 (9 9 (:REWRITE LIST::CAR-APPEND-CONSP))
 )
(CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P-APPEND-1
 (10 1 (:DEFINITION CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (3 3 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (2 1 (:REWRITE CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (1 1 (:TYPE-PRESCRIPTION CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P))
 (1 1 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (1 1 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 )
(CPATH::MEMBER-CONTAINS-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P
 (9306 45 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (4674 19 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (4672 32 (:DEFINITION CPATH::TAIL-DOMINATES))
 (4083 90 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (3667 33 (:DEFINITION LIST::MEMBERP))
 (3630 37 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (3559 85 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (3424 64 (:REWRITE MV-NTH-TO-VAL))
 (2562 12 (:DEFINITION SUBSETP-EQUAL))
 (2421 45 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (2349 51 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (1698 12 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (1692 141 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1490 24 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (865 455 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (843 19 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-IMPLIES-MEMBERSHIP-TAIL-DOMINATES))
 (827 827 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (564 141 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (564 141 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (556 390 (:REWRITE DEFAULT-CDR))
 (547 547 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (481 13 (:DEFINITION CPATH::PREFIXES))
 (423 141 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (357 7 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (333 333 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (333 333 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (333 333 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (299 13 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (287 14 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (282 282 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (282 282 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (282 282 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (282 282 (:TYPE-PRESCRIPTION LEN))
 (282 141 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (268 150 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (266 72 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (266 72 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (241 216 (:REWRITE DEFAULT-CAR))
 (225 85 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (203 203 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (203 203 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (184 184 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (180 180 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (141 141 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (141 141 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (141 141 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (141 141 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (141 141 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (141 141 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (141 141 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (141 141 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (141 141 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (141 141 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (129 64 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (126 7 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (97 97 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (97 97 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (97 97 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (85 85 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (85 85 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (84 7 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (78 26 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (77 7 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (65 13 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (64 64 (:REWRITE CLR-DIFFERENTIAL))
 (64 64 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (64 64 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (64 64 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (64 64 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (64 64 (:META CONS-EQUAL-SMART-META))
 (60 60 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (57 57 (:TYPE-PRESCRIPTION BOOLEANP))
 (52 26 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (48 24 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (28 28 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (28 28 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (27 14 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (26 26 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (25 25 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (25 25 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (24 24 (:REWRITE LIST::SUBSET-CHAINING-2))
 (24 24 (:REWRITE LIST::SUBSET-CHAINING-1))
 (24 24 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (21 14 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (14 14 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (14 14 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (14 14 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (14 14 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (14 14 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (14 14 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (14 14 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (14 14 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (14 14 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (14 14 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (14 14 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (14 7 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (14 7 (:REWRITE CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (13 13 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (12 6 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (7 7 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (7 7 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (7 7 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (7 7 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (7 7 (:REWRITE BAG::COUNT-0-FOR-NON-MEMBERP))
 (7 7 (:REWRITE CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (7 7 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (6 6 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 )
(CPATH::SYNTAX-QUOTE-CONTAINS-PREFIXED-TAIL-DOMINATOR-FN)
(CPATH::SYNTAX-QUOTE-CONTAINS-PREFIXED-TAIL-DOMINATOR-IRRELEVANT
 (2176 18 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (540 36 (:DEFINITION SYN::QUOTEP))
 (534 534 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (495 341 (:REWRITE DEFAULT-CDR))
 (366 240 (:REWRITE DEFAULT-CAR))
 (360 36 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (276 23 (:DEFINITION LEN))
 (270 18 (:DEFINITION SYN::CONSP))
 (216 18 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (184 46 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (180 36 (:DEFINITION SYN::DEQUOTE))
 (162 54 (:DEFINITION SYN::LEN))
 (129 129 (:REWRITE CLR-DIFFERENTIAL))
 (129 129 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (129 129 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (129 129 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (129 129 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (129 129 (:META CONS-EQUAL-SMART-META))
 (126 18 (:DEFINITION SYN::CDR))
 (108 108 (:TYPE-PRESCRIPTION SYN::LEN))
 (92 46 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (90 90 (:TYPE-PRESCRIPTION BOOLEANP))
 (90 18 (:DEFINITION SYN::CAR))
 (72 18 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (72 18 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (52 18 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (46 23 (:REWRITE DEFAULT-+-2))
 (44 22 (:REWRITE DEFAULT-<-1))
 (41 22 (:REWRITE DEFAULT-<-2))
 (36 36 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (36 36 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (36 36 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (36 36 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (36 36 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (36 18 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (23 23 (:REWRITE DEFAULT-+-1))
 (22 22 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (18 18 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (18 18 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (18 18 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (18 18 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (18 18 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (18 18 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (18 18 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (18 18 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (18 18 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2 2 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (2 2 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (2 2 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (1 1 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (1 1 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 )
(CPATH::SYNTAX-QUOTE-CONTAINS-PREFIXED-TAIL-DOMINATOR-IMPLIES-CONTAINS-PREFIXED-TAIL-DOMINATOR-P
 (33255 17 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (22291 49 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (22164 17 (:DEFINITION CPATH::TAIL-DOMINATES))
 (21691 175 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (19253 196 (:REWRITE MV-NTH-TO-VAL))
 (17959 34 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (11237 17 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (10547 98 (:REWRITE CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-IMPLIES-TAIL-DOMINATES))
 (10449 81 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (9901 241 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (9487 73 (:REWRITE CPATH::SYNTAX-QUOTE-DOMINATES-IMPLIES-DOMINATES))
 (9384 138 (:DEFINITION SYN::CONSP-REC))
 (8568 488 (:DEFINITION SYN::QUOTEP))
 (7818 2667 (:REWRITE DEFAULT-CDR))
 (6092 98 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (5247 313 (:DEFINITION SYN::CONSP))
 (5131 248 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (4882 4882 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4167 939 (:DEFINITION SYN::LEN))
 (4012 2218 (:REWRITE DEFAULT-CAR))
 (3678 3678 (:TYPE-PRESCRIPTION SYN::LEN))
 (3105 21 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (2976 248 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (2440 488 (:DEFINITION SYN::DEQUOTE))
 (2386 1244 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2070 138 (:DEFINITION SYN::APPENDP))
 (1244 1244 (:REWRITE CLR-DIFFERENTIAL))
 (1244 1244 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1244 1244 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1244 1244 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1244 1244 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1244 1244 (:META CONS-EQUAL-SMART-META))
 (1225 175 (:DEFINITION SYN::CDR))
 (1142 1142 (:TYPE-PRESCRIPTION BOOLEANP))
 (1104 1104 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (992 248 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (875 175 (:DEFINITION SYN::CAR))
 (872 102 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (735 248 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (715 248 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (629 17 (:DEFINITION CPATH::PREFIXES))
 (502 502 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (496 496 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (496 496 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (496 496 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (433 433 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (433 433 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (433 433 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (408 85 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (391 17 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (272 272 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (248 248 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (248 248 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (248 248 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (248 248 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (248 248 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (248 248 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (248 248 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (248 248 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (248 248 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (248 248 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (241 241 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (241 241 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (203 203 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (203 203 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (140 14 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (102 34 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (98 98 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (98 98 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (98 98 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (98 98 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (85 85 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (85 17 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (85 17 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (85 17 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (84 7 (:DEFINITION LEN))
 (81 81 (:DEFINITION SYN::ENQUOTE))
 (68 34 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (56 14 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (34 34 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (34 34 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (34 34 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (34 34 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (34 34 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (34 34 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (34 34 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (34 34 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (28 14 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (17 17 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (14 7 (:REWRITE DEFAULT-+-2))
 (12 6 (:REWRITE DEFAULT-<-1))
 (10 10 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (10 10 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (10 10 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (10 10 (:REWRITE SYN::EVAL-CONSTRAINT-2))
 (10 10 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (10 10 (:REWRITE SYN::EVAL-CONSTRAINT-11))
 (10 10 (:REWRITE SYN::EVAL-CONSTRAINT-10))
 (10 10 (:REWRITE SYN::EVAL-CONSTRAINT-1))
 (10 6 (:REWRITE DEFAULT-<-2))
 (7 7 (:REWRITE DEFAULT-+-1))
 (7 7 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (2 2 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (2 2 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (1 1 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (1 1 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 )
(CPATH::SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-FN
 (11220 10 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-FN))
 (5080 20 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (3150 10 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (2940 10 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (2920 20 (:DEFINITION CPATH::TAIL-DOMINATES))
 (2760 60 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (2260 40 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (2140 40 (:REWRITE MV-NTH-TO-VAL))
 (2060 20 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1754 1754 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1455 1015 (:REWRITE DEFAULT-CDR))
 (1200 100 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1140 10 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (990 611 (:REWRITE DEFAULT-CAR))
 (980 20 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (688 364 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (580 20 (:DEFINITION CPATH::PREFIXES))
 (490 50 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (400 100 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (400 100 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (376 182 (:REWRITE DEFAULT-+-2))
 (364 364 (:REWRITE CLR-DIFFERENTIAL))
 (364 364 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (364 364 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (364 364 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (364 364 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (364 364 (:META CONS-EQUAL-SMART-META))
 (350 70 (:DEFINITION SYN::DEQUOTE))
 (324 324 (:TYPE-PRESCRIPTION BOOLEANP))
 (300 100 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (300 20 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (260 100 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (220 220 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (220 220 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (220 220 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (220 220 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (220 120 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (213 182 (:REWRITE DEFAULT-+-1))
 (204 122 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (200 200 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (200 200 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (200 200 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (200 100 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (192 3 (:DEFINITION CPATH::SUDO-LEN))
 (189 9 (:DEFINITION LENGTH))
 (160 160 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (120 120 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (120 120 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (120 120 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (120 120 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (100 100 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (100 100 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (100 100 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (100 100 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (100 100 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (100 100 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (100 100 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (100 100 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (100 100 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (100 100 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (100 100 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (100 20 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (80 20 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (80 20 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (72 18 (:REWRITE COMMUTATIVITY-OF-+))
 (72 18 (:DEFINITION INTEGER-ABS))
 (67 37 (:REWRITE DEFAULT-<-1))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (50 50 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (50 50 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (42 37 (:REWRITE DEFAULT-<-2))
 (40 40 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (40 40 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (40 40 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (40 40 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (40 40 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (40 40 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (40 40 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (40 20 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (40 20 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (36 4 (:DEFINITION TRUE-LISTP))
 (32 8 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (20 20 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (20 20 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (20 20 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (20 20 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (20 20 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (20 20 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (18 18 (:REWRITE DEFAULT-UNARY-MINUS))
 (16 8 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (10 10 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (10 10 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (10 10 (:TYPE-PRESCRIPTION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (10 10 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (10 10 (:REWRITE SYN::IFF-CONJOIN))
 (9 9 (:REWRITE DEFAULT-REALPART))
 (9 9 (:REWRITE DEFAULT-NUMERATOR))
 (9 9 (:REWRITE DEFAULT-IMAGPART))
 (9 9 (:REWRITE DEFAULT-DENOMINATOR))
 (9 9 (:REWRITE DEFAULT-COERCE-2))
 (9 9 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(CPATH::SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-IRRELEVANT
 (21754 84 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (13536 12 (:DEFINITION CPATH::SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-FN))
 (13439 42 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (12264 84 (:DEFINITION CPATH::TAIL-DOMINATES))
 (11592 252 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (9492 168 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (8988 168 (:REWRITE MV-NTH-TO-VAL))
 (7044 12 (:DEFINITION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (6180 60 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (5586 5586 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5292 18 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (4896 408 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (4418 3045 (:REWRITE DEFAULT-CDR))
 (4116 84 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (3539 2199 (:REWRITE DEFAULT-CAR))
 (3492 12 (:DEFINITION CPATH::SHOW-SYNTAX-DOMINATES-P-FN))
 (3420 30 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (2740 84 (:DEFINITION CPATH::PREFIXES))
 (2244 1188 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1632 408 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1632 408 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (1614 162 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1564 84 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (1510 420 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (1472 23 (:DEFINITION CPATH::SUDO-LEN))
 (1224 408 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (1188 1188 (:REWRITE CLR-DIFFERENTIAL))
 (1188 1188 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1188 1188 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1188 1188 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1188 1188 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1188 1188 (:META CONS-EQUAL-SMART-META))
 (1056 1056 (:TYPE-PRESCRIPTION BOOLEANP))
 (976 976 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (924 924 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (924 504 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (912 912 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (912 912 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (912 912 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (816 816 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (816 816 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (816 816 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (816 408 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (504 504 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (504 504 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (504 504 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (504 504 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (420 420 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (420 84 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (408 408 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (408 408 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (408 408 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (408 408 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (408 408 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (408 408 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (408 408 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (408 408 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (408 408 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (408 408 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (374 84 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (374 84 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (347 98 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (320 122 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (264 109 (:REWRITE DEFAULT-+-2))
 (198 122 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (168 168 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (168 168 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (168 168 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (168 168 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (168 168 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (168 168 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (168 168 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (168 84 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (162 162 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (162 162 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (159 98 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (122 122 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (109 109 (:REWRITE DEFAULT-+-1))
 (84 84 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (66 22 (:REWRITE DEFAULT-<-1))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (36 22 (:REWRITE DEFAULT-<-2))
 (22 22 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (22 22 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (22 22 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (18 18 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (18 18 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (18 18 (:REWRITE SYN::IFF-CONJOIN))
 (14 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (12 12 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (7 1 (:REWRITE FOLD-CONSTS-IN-+))
 (3 1 (:REWRITE UNICITY-OF-0))
 (2 1 (:DEFINITION FIX))
 )
(CPATH::HYP-FOR-SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-FN
 (11220 10 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-FN))
 (5080 20 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (3150 10 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (2940 10 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (2920 20 (:DEFINITION CPATH::TAIL-DOMINATES))
 (2760 60 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (2260 40 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (2140 40 (:REWRITE MV-NTH-TO-VAL))
 (2060 20 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1754 1754 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1455 1015 (:REWRITE DEFAULT-CDR))
 (1200 100 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1140 10 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (990 611 (:REWRITE DEFAULT-CAR))
 (980 20 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (688 364 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (580 20 (:DEFINITION CPATH::PREFIXES))
 (490 50 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (400 100 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (400 100 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (376 182 (:REWRITE DEFAULT-+-2))
 (364 364 (:REWRITE CLR-DIFFERENTIAL))
 (364 364 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (364 364 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (364 364 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (364 364 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (364 364 (:META CONS-EQUAL-SMART-META))
 (350 70 (:DEFINITION SYN::DEQUOTE))
 (324 324 (:TYPE-PRESCRIPTION BOOLEANP))
 (300 100 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (300 20 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (260 100 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (220 220 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (220 220 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (220 220 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (220 220 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (220 120 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (213 182 (:REWRITE DEFAULT-+-1))
 (204 122 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (200 200 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (200 200 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (200 200 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (200 100 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (192 3 (:DEFINITION CPATH::SUDO-LEN))
 (189 9 (:DEFINITION LENGTH))
 (160 160 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (120 120 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (120 120 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (120 120 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (120 120 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (100 100 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (100 100 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (100 100 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (100 100 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (100 100 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (100 100 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (100 100 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (100 100 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (100 100 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (100 100 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (100 100 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (100 20 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (80 20 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (80 20 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (72 18 (:REWRITE COMMUTATIVITY-OF-+))
 (72 18 (:DEFINITION INTEGER-ABS))
 (67 37 (:REWRITE DEFAULT-<-1))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (50 50 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (50 50 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (42 37 (:REWRITE DEFAULT-<-2))
 (40 40 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (40 40 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (40 40 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (40 40 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (40 40 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (40 40 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (40 40 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (40 20 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (40 20 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (36 4 (:DEFINITION TRUE-LISTP))
 (32 8 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (20 20 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (20 20 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (20 20 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (20 20 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (20 20 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (20 20 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (18 18 (:REWRITE DEFAULT-UNARY-MINUS))
 (16 8 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (10 10 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (10 10 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (10 10 (:TYPE-PRESCRIPTION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (10 10 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (10 10 (:REWRITE SYN::IFF-CONJOIN))
 (9 9 (:REWRITE DEFAULT-REALPART))
 (9 9 (:REWRITE DEFAULT-NUMERATOR))
 (9 9 (:REWRITE DEFAULT-IMAGPART))
 (9 9 (:REWRITE DEFAULT-DENOMINATOR))
 (9 9 (:REWRITE DEFAULT-COERCE-2))
 (9 9 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(CPATH::HYP-FOR-SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-IRRELEVANT
 (23874 92 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (14743 46 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (13432 92 (:DEFINITION CPATH::TAIL-DOMINATES))
 (12696 276 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (10396 184 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (9844 184 (:REWRITE MV-NTH-TO-VAL))
 (8808 30 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (6180 60 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (6152 6152 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5328 444 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (4894 3391 (:REWRITE DEFAULT-CDR))
 (4508 92 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (3648 2289 (:REWRITE DEFAULT-CAR))
 (3420 30 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (3036 92 (:DEFINITION CPATH::PREFIXES))
 (2262 1199 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1776 444 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1776 444 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (1748 92 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (1702 460 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (1662 166 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1472 23 (:DEFINITION CPATH::SUDO-LEN))
 (1332 444 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (1199 1199 (:REWRITE CLR-DIFFERENTIAL))
 (1199 1199 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1199 1199 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1199 1199 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1199 1199 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1199 1199 (:META CONS-EQUAL-SMART-META))
 (1104 1104 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (1063 1063 (:TYPE-PRESCRIPTION BOOLEANP))
 (1012 1012 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (1012 552 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (996 996 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (996 996 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (996 996 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (888 888 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (888 888 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (888 888 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (888 444 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (745 214 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (552 552 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (552 552 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (552 552 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (552 552 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (460 460 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (460 92 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (444 444 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (444 444 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (444 444 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (444 444 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (444 444 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (444 444 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (444 444 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (444 444 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (444 444 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (444 444 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (444 199 (:REWRITE DEFAULT-+-2))
 (414 92 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (414 92 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (368 138 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (357 214 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (305 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (295 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (255 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (230 138 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (199 199 (:REWRITE DEFAULT-+-1))
 (184 184 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (184 184 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (184 184 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (184 184 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (184 184 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (184 184 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (184 184 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (184 92 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (166 166 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (166 166 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (138 138 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (92 92 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (66 22 (:REWRITE DEFAULT-<-1))
 (36 22 (:REWRITE DEFAULT-<-2))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (34 34 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (34 34 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (34 34 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (30 30 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (30 30 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (18 18 (:REWRITE SYN::IFF-CONJOIN))
 (16 16 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (15 5 (:REWRITE UNICITY-OF-0))
 (14 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 5 (:DEFINITION FIX))
 )
(CPATH::SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-TO-HYP-FOR
 (34896 136 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (21596 68 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (19856 136 (:DEFINITION CPATH::TAIL-DOMINATES))
 (18768 408 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (15368 272 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (14552 272 (:REWRITE MV-NTH-TO-VAL))
 (11466 39 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (8727 8727 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (8034 78 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (7812 651 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (6854 4727 (:REWRITE DEFAULT-CDR))
 (6664 136 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (5277 3298 (:REWRITE DEFAULT-CAR))
 (4446 39 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (4200 136 (:DEFINITION CPATH::PREFIXES))
 (3328 52 (:DEFINITION CPATH::SUDO-LEN))
 (3167 1676 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2604 651 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (2604 651 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (2296 136 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (2259 224 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (2120 680 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (1953 651 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (1676 1676 (:REWRITE CLR-DIFFERENTIAL))
 (1676 1676 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1676 1676 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1676 1676 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1676 1676 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1676 1676 (:META CONS-EQUAL-SMART-META))
 (1496 1496 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (1496 816 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (1491 1491 (:TYPE-PRESCRIPTION BOOLEANP))
 (1467 1467 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1467 1467 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1467 1467 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (1344 1344 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (1302 1302 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (1302 1302 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (1302 1302 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (1302 651 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (816 816 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (816 816 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (816 816 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (816 816 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (745 214 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (680 680 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (680 136 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (651 651 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (651 651 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (651 651 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (651 651 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (651 651 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (651 651 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (651 651 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (651 651 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (651 651 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (651 651 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (618 257 (:REWRITE DEFAULT-+-2))
 (576 136 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (576 136 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (400 168 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (357 214 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (305 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (295 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (272 272 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (272 272 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (272 272 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (272 272 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (272 272 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (272 272 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (272 272 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (272 136 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (257 257 (:REWRITE DEFAULT-+-1))
 (255 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (232 168 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (224 224 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (224 224 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (168 168 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (153 51 (:REWRITE DEFAULT-<-1))
 (136 136 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (87 51 (:REWRITE DEFAULT-<-2))
 (39 39 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (39 39 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (39 39 (:REWRITE SYN::IFF-CONJOIN))
 (36 36 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (34 34 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (34 34 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (34 34 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (29 29 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (15 5 (:REWRITE UNICITY-OF-0))
 (10 5 (:DEFINITION FIX))
 )
(CPATH::PSEUDO-TERMP-HYP-FOR-SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR
 (12986 50 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (8018 25 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (7300 50 (:DEFINITION CPATH::TAIL-DOMINATES))
 (6900 150 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (5650 100 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (5350 100 (:REWRITE MV-NTH-TO-VAL))
 (4698 16 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (3581 3581 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3296 32 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (2892 241 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (2879 2005 (:REWRITE DEFAULT-CDR))
 (2450 50 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (1979 1244 (:REWRITE DEFAULT-CAR))
 (1824 16 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (1658 50 (:DEFINITION CPATH::PREFIXES))
 (1221 647 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (964 241 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (964 241 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (958 50 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (936 250 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (892 89 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (832 13 (:DEFINITION CPATH::SUDO-LEN))
 (745 214 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (723 241 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (647 647 (:REWRITE CLR-DIFFERENTIAL))
 (647 647 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (647 647 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (647 647 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (647 647 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (647 647 (:META CONS-EQUAL-SMART-META))
 (608 608 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (574 574 (:TYPE-PRESCRIPTION BOOLEANP))
 (550 550 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (550 300 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (541 541 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (541 541 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (541 541 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (482 482 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (482 482 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (482 482 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (482 241 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (384 179 (:REWRITE DEFAULT-+-2))
 (357 214 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (305 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (300 300 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (300 300 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (300 300 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (300 300 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (295 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (255 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (250 250 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (250 50 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (241 241 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (241 241 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (241 241 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (241 241 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (241 241 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (241 241 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (241 241 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (241 241 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (241 241 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (241 241 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (226 50 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (226 50 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (204 76 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (179 179 (:REWRITE DEFAULT-+-1))
 (128 76 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (100 100 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (100 100 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (100 100 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (100 100 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (100 100 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (100 100 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (100 100 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (100 50 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (89 89 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (89 89 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (76 76 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (50 50 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (36 12 (:REWRITE DEFAULT-<-1))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (34 34 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (34 34 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (34 34 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (21 12 (:REWRITE DEFAULT-<-2))
 (16 16 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (16 16 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (15 5 (:REWRITE UNICITY-OF-0))
 (10 10 (:REWRITE SYN::IFF-CONJOIN))
 (10 5 (:DEFINITION FIX))
 (9 9 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (9 9 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (8 8 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 )
(CPATH::SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-IMPLIES-CONTAINS-PREFIXED-TAIL-DOMINATOR-P
 (126268 163 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (79169 489 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (77796 163 (:DEFINITION CPATH::TAIL-DOMINATES))
 (73362 81 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (67581 326 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (64784 756 (:REWRITE MV-NTH-TO-VAL))
 (64100 530 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (36238 163 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (35481 716 (:REWRITE SYN::CONSP-REC-IMPLIES-CONSP))
 (33947 409 (:DEFINITION SYN::CONSP-REC))
 (31181 13616 (:REWRITE DEFAULT-CDR))
 (28961 258 (:REWRITE CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-IMPLIES-TAIL-DOMINATES))
 (28703 215 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (25090 193 (:REWRITE CPATH::SYNTAX-QUOTE-DOMINATES-IMPLIES-DOMINATES))
 (24440 24440 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (20713 978 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (18221 1223 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (17045 10301 (:REWRITE DEFAULT-CAR))
 (14676 1223 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (14568 40 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (10764 82 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (9697 5056 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (6330 42 (:REWRITE CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (5135 163 (:DEFINITION CPATH::PREFIXES))
 (5056 5056 (:REWRITE CLR-DIFFERENTIAL))
 (5056 5056 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (5056 5056 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (5056 5056 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (5056 5056 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (5056 5056 (:META CONS-EQUAL-SMART-META))
 (4985 1 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-APPEND-1))
 (4892 1223 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (4641 4641 (:TYPE-PRESCRIPTION BOOLEANP))
 (4160 455 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (3669 1223 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (3285 45 (:DEFINITION CPATH::SUDO-LEN))
 (3272 3272 (:TYPE-PRESCRIPTION SYN::CONSP-REC))
 (3025 1223 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2853 163 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (2680 815 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (2446 2446 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (2446 2446 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (2446 2446 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (2437 2437 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2437 2437 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (2437 2437 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (1946 978 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (1793 1793 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (1712 1712 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (1388 1388 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1223 1223 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1223 1223 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1223 1223 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (1223 1223 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1223 1223 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1223 1223 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (1223 1223 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1223 1223 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (1223 1223 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1223 1223 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (978 978 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (978 978 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (978 978 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (815 815 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (815 163 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (733 733 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (733 733 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (716 716 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (716 716 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (703 163 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (703 163 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (649 280 (:REWRITE DEFAULT-+-2))
 (530 214 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (442 263 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (440 160 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (416 48 (:DEFINITION SYN::CONJOIN))
 (360 16 (:DEFINITION SYN::TRUEP))
 (326 326 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (326 326 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (326 326 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (326 326 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (326 326 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (326 326 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (326 326 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (316 214 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (305 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (295 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (280 280 (:REWRITE DEFAULT-+-1))
 (255 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (215 215 (:DEFINITION SYN::ENQUOTE))
 (214 214 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (163 163 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (132 44 (:REWRITE DEFAULT-<-1))
 (124 124 (:REWRITE SYN::EVAL-CONSTRAINT-12))
 (115 115 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (115 115 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (115 115 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (74 44 (:REWRITE DEFAULT-<-2))
 (65 11 (:REWRITE CPATH::SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-MEMBERP))
 (52 1 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (48 22 (:DEFINITION LIST::BINARY-APPENDX))
 (44 44 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (44 44 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (44 44 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (40 40 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (38 38 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (36 36 (:REWRITE CPATH::SYNTAX-QUOTE-CONTAINS-PREFIXED-TAIL-DOMINATOR-IMPLIES-CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (32 32 (:REWRITE CPATH::SYNTAX-DOMINATION-IMPLIES-DOMINATION-HELPER))
 (32 32 (:REWRITE SYN::IFF-CONJOIN))
 (30 30 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (15 5 (:REWRITE UNICITY-OF-0))
 (11 11 (:REWRITE CPATH::SHOW-SYNTAX-TAIL-DOMINATES-IMPLIES-TAIL-DOMINATES))
 (10 5 (:DEFINITION FIX))
 (10 1 (:DEFINITION TRUE-LISTP))
 (9 9 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (8 8 (:DEFINITION SYN::IF))
 (6 6 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 2 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (4 2 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 )
(CPATH::MEMBER-SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P
 (29 1 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (27 27 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (19 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (18 1 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (11 1 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (4 4 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (3 2 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (3 1 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (3 1 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (2 2 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (2 2 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (2 2 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (1 1 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (1 1 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (1 1 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1 1 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (1 1 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (1 1 (:REWRITE BAG::COUNT-0-FOR-NON-MEMBERP))
 (1 1 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1 1 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (1 1 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 )
(CPATH::TAIL-DOMINATOR-BODY)
(CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-MAP-CONS
 (12656 36 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (9220 60 (:DEFINITION CPATH::TAIL-DOMINATES))
 (6198 137 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (6011 118 (:REWRITE MV-NTH-TO-VAL))
 (4205 105 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (2752 59 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (2714 39 (:DEFINITION CPATH::PREFIXES))
 (2688 224 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1523 1523 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (896 224 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (896 224 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (883 199 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (700 36 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (656 224 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (517 517 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (517 517 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (517 517 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (495 495 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (492 274 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (450 9 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (448 448 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (448 448 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (448 448 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (448 224 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (372 336 (:REWRITE DEFAULT-CAR))
 (286 286 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (276 276 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (274 274 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (274 274 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (254 31 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P))
 (239 41 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (239 41 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (237 99 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (224 224 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (224 224 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (224 224 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (224 224 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (224 224 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (224 224 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (224 224 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (224 224 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (224 224 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (224 224 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (197 197 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (146 41 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (96 8 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (85 46 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (82 82 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (82 82 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (82 82 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (82 82 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (82 82 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (82 82 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (82 82 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (67 36 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (64 36 (:REWRITE DEFAULT-+-2))
 (55 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (54 28 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (54 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (47 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (44 22 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (36 36 (:REWRITE DEFAULT-+-1))
 (26 26 (:REWRITE CLR-DIFFERENTIAL))
 (26 26 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (26 26 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (26 26 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (26 26 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (26 26 (:META CONS-EQUAL-SMART-META))
 (22 22 (:TYPE-PRESCRIPTION LIST::DISJOINT))
 (20 20 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (20 20 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (20 20 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (16 16 (:TYPE-PRESCRIPTION BOOLEANP))
 (10 10 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (8 8 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (8 8 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (8 4 (:REWRITE LIST::CONSP-OF-MAP-CONS))
 (6 6 (:REWRITE VAL-OF-CONS))
 (5 1 (:REWRITE FOLD-CONSTS-IN-+))
 (2 1 (:REWRITE UNICITY-OF-0))
 (1 1 (:REWRITE LIST::MEMBERP-OF-NIL))
 (1 1 (:DEFINITION FIX))
 )
(CPATH::TAIL-DOMINATOR-BODY-BODY)
(CPATH::TAIL-DOMINATOR-BODY-REC)
(CPATH::TAIL-DOMINATOR-BOODY-TO-TAIL-DOMINATOR-BODY-REC
 (4964 34 (:DEFINITION CPATH::TAIL-DOMINATES))
 (1872 156 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (984 984 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (624 156 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (624 156 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (573 389 (:REWRITE DEFAULT-CDR))
 (468 156 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (434 244 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (392 28 (:DEFINITION CPATH::PREFIXES))
 (366 366 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (366 366 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (312 312 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (312 312 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (312 312 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (312 156 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (244 244 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (244 244 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (244 244 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (244 244 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (199 171 (:REWRITE DEFAULT-CAR))
 (156 156 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (156 156 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (156 156 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (156 156 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (156 156 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (156 156 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (156 156 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (156 156 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (156 156 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (156 156 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (140 28 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (84 84 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (58 32 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (58 32 (:REWRITE CPATH::NOT-CONSP-X-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (32 32 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P))
 (15 15 (:REWRITE CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::TAIL-DOMINATOR-BODY-BODY-REC
 (83 83 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (83 83 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(CPATH::OPEN-TAIL-DOMINATES
 (624 14 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (297 25 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (124 124 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (120 120 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (120 120 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (114 1 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (103 25 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (101 5 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (97 25 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (95 2 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (93 61 (:REWRITE DEFAULT-CDR))
 (64 2 (:DEFINITION TRUE-LISTP))
 (50 28 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (49 49 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (49 49 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (49 49 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (48 48 (:TYPE-PRESCRIPTION LEN))
 (46 23 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (29 21 (:REWRITE DEFAULT-CAR))
 (28 28 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (28 28 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (28 28 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (28 28 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (25 25 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (25 25 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (25 25 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (25 25 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (25 25 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (25 25 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (25 25 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (24 24 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (23 23 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (17 17 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (17 7 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (11 11 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 5 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (7 7 (:REWRITE CLR-DIFFERENTIAL))
 (7 7 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7 7 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7 7 (:META CONS-EQUAL-SMART-META))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP))
 (4 1 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (1 1 (:REWRITE LIST::OPEN-EQUIV))
 (1 1 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::TAIL-DOMINATOR-BODY-BODY-IS-TAIL-DOMINATOR-BODY-BODY-REC
 (37541 37541 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (37541 37541 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (24304 24304 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (19449 14281 (:REWRITE DEFAULT-CDR))
 (16932 16932 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (16932 16932 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (16689 4137 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (15102 4137 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (13881 1087 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (11500 692 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (11365 9820 (:REWRITE DEFAULT-CAR))
 (11198 11198 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (11198 11198 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (8180 8180 (:TYPE-PRESCRIPTION LEN))
 (7659 4043 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (5565 2954 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (5358 47 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (4747 235 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (4465 94 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (4327 4043 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (4137 4137 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (4137 4137 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (4137 4137 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (3008 94 (:DEFINITION TRUE-LISTP))
 (2982 688 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (2982 688 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (2978 2978 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (2954 2954 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (2954 2954 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (2954 2954 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (2473 2473 (:REWRITE CLR-DIFFERENTIAL))
 (2473 2473 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2473 2473 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2473 2473 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2473 2473 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2473 2473 (:META CONS-EQUAL-SMART-META))
 (2070 1490 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (1500 832 (:REWRITE CPATH::NOT-CONSP-Y-NOT-LIST-PREFIXED-TAIL-DOMINATOR-P))
 (1400 700 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (1381 1381 (:TYPE-PRESCRIPTION BOOLEANP))
 (1322 1322 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (1322 1322 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (1322 1322 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (1314 1314 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (1314 1314 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1314 1314 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (1118 626 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (1099 1099 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1099 1099 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (835 835 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-FROM-MEMBERP-PREFIXED-TAIL-DOMINATOR-P))
 (799 799 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (614 307 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (517 517 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (470 235 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (307 307 (:TYPE-PRESCRIPTION LIST::DISJOINT))
 (188 47 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (94 47 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (94 47 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (47 47 (:REWRITE LIST::OPEN-EQUIV))
 (47 47 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::TAIL-DOMINATOR-BODY-BODY-COMMUTES-FIRST-2
 (2749 232 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1824 16 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (1616 80 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (1520 32 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (1066 1066 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1066 1066 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1024 32 (:DEFINITION TRUE-LISTP))
 (976 232 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (774 774 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (763 232 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (690 513 (:REWRITE DEFAULT-CDR))
 (576 48 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (446 446 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (446 446 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (446 446 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (432 432 (:TYPE-PRESCRIPTION LEN))
 (364 364 (:REWRITE DEFAULT-CAR))
 (364 200 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (272 272 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (239 215 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (232 232 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (232 232 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (232 232 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (231 231 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (231 231 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (231 231 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (231 231 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (224 224 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (224 224 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (224 200 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (197 197 (:REWRITE CLR-DIFFERENTIAL))
 (197 197 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (197 197 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (197 197 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (197 197 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (197 197 (:META CONS-EQUAL-SMART-META))
 (176 176 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (160 80 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (144 144 (:TYPE-PRESCRIPTION BOOLEANP))
 (64 16 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (48 48 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (48 48 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (32 16 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (32 16 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (16 16 (:REWRITE LIST::OPEN-EQUIV))
 (16 16 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::TAIL-DOMINATOR-BODY-BODY-COMMUTES-LAST-2
 (2749 232 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1824 16 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (1616 80 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (1520 32 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (1066 1066 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1066 1066 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1024 32 (:DEFINITION TRUE-LISTP))
 (976 232 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (774 774 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (763 232 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (690 513 (:REWRITE DEFAULT-CDR))
 (576 48 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (446 446 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (446 446 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (446 446 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (432 432 (:TYPE-PRESCRIPTION LEN))
 (364 364 (:REWRITE DEFAULT-CAR))
 (364 200 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (272 272 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (239 215 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (232 232 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (232 232 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (232 232 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (231 231 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (231 231 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (231 231 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (231 231 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (224 224 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (224 224 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (224 200 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (197 197 (:REWRITE CLR-DIFFERENTIAL))
 (197 197 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (197 197 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (197 197 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (197 197 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (197 197 (:META CONS-EQUAL-SMART-META))
 (176 176 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (160 80 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (144 144 (:TYPE-PRESCRIPTION BOOLEANP))
 (64 16 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (48 48 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (48 48 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (32 16 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (32 16 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (16 16 (:REWRITE LIST::OPEN-EQUIV))
 (16 16 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::TAIL-DOMINATOR-BODY-COMMUTES-LAST-2
 (1530 126 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (864 72 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (738 126 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (514 406 (:REWRITE DEFAULT-CDR))
 (504 126 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (450 126 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (409 409 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (378 126 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (306 306 (:REWRITE DEFAULT-CAR))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (252 252 (:TYPE-PRESCRIPTION LEN))
 (234 126 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (146 146 (:REWRITE CLR-DIFFERENTIAL))
 (146 146 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (146 146 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (146 146 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (146 146 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (146 146 (:META CONS-EQUAL-SMART-META))
 (144 126 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (144 126 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (126 126 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (126 126 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (126 126 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (126 126 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (72 72 (:TYPE-PRESCRIPTION BOOLEANP))
 (72 72 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (72 72 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION
 (33745 2779 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (31950 1500 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (30682 14462 (:REWRITE DEFAULT-CDR))
 (30574 581 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (27074 162 (:REWRITE LIST::TRUE-LISTP-FIX))
 (22124 80 (:REWRITE BAG::CONSP-REMOVE-1-REWRITE))
 (20842 1654 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (19168 630 (:DEFINITION TRUE-LISTP))
 (16277 2779 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (14571 14571 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (11116 2779 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (9925 2779 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (9240 9098 (:REWRITE DEFAULT-CAR))
 (8558 80 (:REWRITE BAG::LEN-AT-MOST-1-AND-MEMBERP-MEAN-LEN-EXACTLY-1))
 (8337 2779 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (7906 26 (:REWRITE BAG::LEN-1-AND-MEMBERP-MEANS-YOU-KNOW-X))
 (7698 26 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (6822 18 (:REWRITE LIST::FINALCDR-OF-CDR))
 (5955 5955 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (5955 5955 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (5777 183 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (5679 5679 (:REWRITE CLR-DIFFERENTIAL))
 (5679 5679 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (5679 5679 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (5679 5679 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (5679 5679 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (5679 5679 (:META CONS-EQUAL-SMART-META))
 (5558 5558 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (5558 5558 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (5558 5558 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (5469 421 (:DEFINITION LEN))
 (5161 2779 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (5152 890 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (4864 4864 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (3924 3924 (:TYPE-PRESCRIPTION BOOLEANP))
 (3749 74 (:DEFINITION SUBSETP-EQUAL))
 (3176 2779 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (3176 2779 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (3078 3078 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2941 1500 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (2854 839 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (2779 2779 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2779 2779 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2779 2779 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2779 2779 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (2779 2779 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2779 2779 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2779 2779 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2428 812 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (1767 85 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (1703 1703 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1703 1703 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (1692 28 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (1620 28 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (1616 74 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (1568 44 (:REWRITE CPATH::ALL-DIVERGE-OF-CDR))
 (1459 864 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1444 839 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1420 28 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (1374 30 (:REWRITE BAG::UNIQUE-MEANS-CAR-NOT-MEMBERP-OF-CDR))
 (1166 583 (:REWRITE DEFAULT-+-2))
 (1102 48 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (994 45 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (956 40 (:REWRITE BAG::CAR-OF-REMOVE-1))
 (938 938 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (938 938 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (938 938 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (864 864 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (864 864 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (583 583 (:REWRITE DEFAULT-+-1))
 (412 412 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (412 412 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (412 412 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (412 412 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (401 29 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (366 366 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (360 48 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (312 312 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (288 16 (:REWRITE BAG::UNIQUE-OF-CDR))
 (260 130 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (222 183 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (198 127 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (196 28 (:REWRITE FOLD-CONSTS-IN-+))
 (183 183 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (183 183 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (183 183 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (183 183 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (183 127 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (170 170 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (155 155 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (128 128 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (127 127 (:REWRITE LIST::SUBSET-CHAINING-2))
 (127 127 (:REWRITE LIST::SUBSET-CHAINING-1))
 (127 127 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (108 54 (:REWRITE DEFAULT-<-2))
 (96 96 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (96 96 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (96 96 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (96 96 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (85 85 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (85 85 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (85 85 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (85 85 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (84 28 (:REWRITE UNICITY-OF-0))
 (56 28 (:REWRITE CPATH::MEMBERP-OF-CADR))
 (56 28 (:DEFINITION FIX))
 (54 54 (:REWRITE DEFAULT-<-1))
 (48 48 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (47 47 (:REWRITE LIST::SUBSETP-ID))
 (39 39 (:TYPE-PRESCRIPTION LIST::FINALCDR))
 (34 26 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (13 13 (:REWRITE LIST::EQUAL-CONS-CASES))
 (3 3 (:REWRITE LIST::MEMBERP-CAR))
 )
(CPATH::PERM-IMPLIES-EQUAL-TAIL-DOMINATOR-BODY-REC-2
 (38283 209 (:REWRITE BAG::CONSP-REMOVE-1-REWRITE))
 (33109 721 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (23311 200 (:REWRITE BAG::LEN-AT-MOST-1-AND-MEMBERP-MEAN-LEN-EXACTLY-1))
 (22835 126 (:DEFINITION SUBSETP-EQUAL))
 (21175 71 (:REWRITE BAG::PERM-OF-NON-CONSP-TWO))
 (19231 115 (:REWRITE BAG::NON-MEMBERSHIP-REMOVE-1))
 (19132 9 (:REWRITE BAG::REMOVE-1-OF-REMOVE-1))
 (18674 192 (:REWRITE BAG::LEN-1-AND-MEMBERP-MEANS-YOU-KNOW-X))
 (15835 7239 (:REWRITE DEFAULT-CDR))
 (13751 685 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (12995 269 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (11912 192 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (11390 938 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (11354 266 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (8563 773 (:DEFINITION LEN))
 (7705 7705 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (7161 266 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (6680 560 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (6656 561 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (6309 9 (:REWRITE BAG::LEN-OF-REMOVE-1))
 (5494 938 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (4913 1546 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (4754 4404 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (4509 9 (:REWRITE BAG::REMOVE-1-DOES-NOTHING-REWRITE))
 (3922 3711 (:REWRITE DEFAULT-CAR))
 (3752 938 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (3632 3632 (:TYPE-PRESCRIPTION LEN))
 (3388 196 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (3382 212 (:REWRITE LIST::EQUAL-CONS-CASES))
 (3350 938 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (3300 116 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (3008 196 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (2814 2814 (:REWRITE CLR-DIFFERENTIAL))
 (2814 2814 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2814 2814 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2814 2814 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2814 2814 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2814 2814 (:META CONS-EQUAL-SMART-META))
 (2814 938 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (2602 126 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (2359 1546 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (2250 2250 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (2181 209 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (2010 2010 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2010 2010 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1876 1876 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (1876 1876 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (1876 1876 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (1838 1838 (:TYPE-PRESCRIPTION BOOLEANP))
 (1742 938 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1674 93 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (1633 511 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (1633 511 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (1564 782 (:REWRITE DEFAULT-+-2))
 (1149 1149 (:TYPE-PRESCRIPTION LIST::FINALCDR))
 (1072 938 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (1072 938 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1023 93 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (938 938 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (938 938 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (938 938 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (938 938 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (938 938 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (938 938 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (938 938 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (832 832 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (800 50 (:REWRITE BAG::REMOVE-BAG-OF-CONS))
 (797 93 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (782 782 (:REWRITE DEFAULT-+-1))
 (687 687 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (687 687 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (637 637 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (561 561 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (560 560 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (560 560 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (522 261 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (511 511 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (502 50 (:REWRITE BAG::MEMBERP-OF-REMOVE-1-IRREL))
 (500 50 (:REWRITE BAG::SUBBAGP-MEANS-REMOVE-BAG-IS-NIL))
 (418 418 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (418 418 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (392 392 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (392 392 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (392 392 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (268 5 (:REWRITE BAG::PERM-OF-CONS-TO-FALSE-ALT))
 (266 266 (:REWRITE LIST::SUBSET-CHAINING-2))
 (266 266 (:REWRITE LIST::SUBSET-CHAINING-1))
 (266 266 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (261 209 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (260 260 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (260 260 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (260 260 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (260 260 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (232 232 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (212 192 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (209 209 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (209 209 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (209 209 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (209 209 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (196 196 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (195 168 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (186 186 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (160 160 (:REWRITE LIST::SUBSETP-ID))
 (150 50 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (124 115 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (100 100 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (100 50 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (100 50 (:REWRITE BAG::REMOVE-BAG-NOT-CONSP-X))
 (93 93 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (93 93 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (93 93 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (93 93 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (68 68 (:TYPE-PRESCRIPTION BAG::REMOVE-BAG))
 (67 67 (:REWRITE BAG::MY-PERM-COMMON-ELIMINATION))
 (56 56 (:META BAG::*META*-SYNTAX-EV-REMOVE-1-PERM))
 (50 50 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (50 50 (:REWRITE BAG::REMOVE-1-IMPLIES-REMOVE-BAG-SINGLETON))
 (50 50 (:REWRITE BAG::MEMBERP-OF-REMOVE-1-IRREL-CHEAP))
 (50 50 (:REWRITE LIST::FIX-EQUIV))
 (50 50 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (50 50 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (30 17 (:REWRITE DEFAULT-<-2))
 (17 17 (:REWRITE DEFAULT-<-1))
 )
(CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS)
(CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION
 (46160 1600 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (25039 12389 (:REWRITE DEFAULT-CDR))
 (24256 1996 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (23804 132 (:REWRITE LIST::LIST-EQUIV-HACK))
 (23614 1152 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (22321 457 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (15048 132 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (14735 467 (:DEFINITION TRUE-LISTP))
 (11535 11535 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (10836 1996 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (8599 51 (:REWRITE LIST::TRUE-LISTP-FIX))
 (8404 176 (:REWRITE LIST::OPEN-EQUIV))
 (7984 1996 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (7983 7838 (:REWRITE DEFAULT-CAR))
 (7160 1996 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (6512 176 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (5988 1996 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (5184 398 (:DEFINITION LEN))
 (4654 105 (:DEFINITION SUBSETP-EQUAL))
 (4428 4428 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4428 4428 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (4310 4310 (:REWRITE CLR-DIFFERENTIAL))
 (4310 4310 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (4310 4310 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (4310 4310 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (4310 4310 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (4310 4310 (:META CONS-EQUAL-SMART-META))
 (3992 3992 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (3992 3992 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (3992 3992 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (3866 3866 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (3688 1996 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2821 2821 (:TYPE-PRESCRIPTION BOOLEANP))
 (2741 801 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (2736 24 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (2593 73 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (2487 2487 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2300 1996 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2300 1996 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (2292 1152 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (1996 1996 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1996 1996 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1996 1996 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1996 1996 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1996 1996 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (1996 1996 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1996 1996 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (1890 105 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (1703 138 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (1673 567 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (1673 567 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (1600 1600 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1600 1600 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (1488 24 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (1432 24 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (1384 796 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1256 24 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (1221 571 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1212 28 (:REWRITE LIST::SUBSETP-CONS-1))
 (1160 50 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (1068 534 (:REWRITE DEFAULT-+-2))
 (864 48 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (676 676 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (676 676 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (571 571 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (567 567 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (534 534 (:REWRITE DEFAULT-+-1))
 (528 48 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (476 17 (:REWRITE CPATH::ALL-DIVERGE-OF-CDR))
 (436 436 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (392 196 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (362 50 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (293 149 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (276 276 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (276 276 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (264 132 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (196 196 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (196 196 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (196 196 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (196 196 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (187 187 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (176 138 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (176 132 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (173 41 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (168 24 (:REWRITE FOLD-CONSTS-IN-+))
 (149 149 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (149 149 (:REWRITE LIST::SUBSET-CHAINING-2))
 (149 149 (:REWRITE LIST::SUBSET-CHAINING-1))
 (149 149 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (138 138 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (138 138 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (138 138 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (138 138 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (134 11 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (132 132 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (132 132 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (132 132 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (120 60 (:REWRITE DEFAULT-<-2))
 (100 100 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (100 100 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (100 100 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (96 96 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (79 79 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (72 24 (:REWRITE UNICITY-OF-0))
 (60 60 (:REWRITE DEFAULT-<-1))
 (58 58 (:META BAG::*META*-SYNTAX-EV-REMOVE-1-PERM))
 (50 50 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (48 48 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (48 48 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (48 48 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (48 48 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (48 24 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (48 24 (:DEFINITION FIX))
 (18 18 (:REWRITE LIST::EQUAL-CONS-CASES))
 (14 14 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 )
(CPATH::PERM-IMPLIES-EQUAL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-1
 (37359 205 (:REWRITE BAG::CONSP-REMOVE-1-REWRITE))
 (32259 605 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (22211 108 (:DEFINITION SUBSETP-EQUAL))
 (22191 192 (:REWRITE BAG::LEN-AT-MOST-1-AND-MEMBERP-MEAN-LEN-EXACTLY-1))
 (19843 71 (:REWRITE BAG::PERM-OF-NON-CONSP-TWO))
 (19249 133 (:REWRITE BAG::NON-MEMBERSHIP-REMOVE-1))
 (19132 9 (:REWRITE BAG::REMOVE-1-OF-REMOVE-1))
 (18066 9022 (:REWRITE DEFAULT-CDR))
 (17710 188 (:REWRITE BAG::LEN-1-AND-MEMBERP-MEANS-YOU-KNOW-X))
 (14160 1014 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (13685 1127 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (12651 641 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (11875 257 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (11302 230 (:REWRITE LIST::SUBSETP-NOT-CONSP-1))
 (11004 188 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (8725 781 (:DEFINITION LEN))
 (8336 8336 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (8107 253 (:DEFINITION TRUE-LISTP))
 (7133 230 (:REWRITE LIST::SUBSETP-NOT-CONSP-2))
 (6880 20 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-BODY-COMMUTES-FIRST-2))
 (6601 1127 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (6422 449 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (6309 9 (:REWRITE BAG::LEN-OF-REMOVE-1))
 (5537 5320 (:REWRITE DEFAULT-CAR))
 (4963 1562 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (4509 9 (:REWRITE BAG::REMOVE-1-DOES-NOTHING-REWRITE))
 (4508 1127 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (4214 3864 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (4028 4028 (:TYPE-PRESCRIPTION LEN))
 (4025 1127 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (3381 1127 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (3374 204 (:REWRITE LIST::EQUAL-CONS-CASES))
 (3316 192 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (3288 3288 (:REWRITE CLR-DIFFERENTIAL))
 (3288 3288 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (3288 3288 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (3288 3288 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (3288 3288 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (3288 3288 (:META CONS-EQUAL-SMART-META))
 (2974 192 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (2415 2415 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2415 2415 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (2404 84 (:REWRITE CPATH::COUNT-OF-MEMBER-WHEN-ALL-DIVERGE))
 (2385 1562 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (2278 108 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (2254 2254 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (2254 2254 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (2254 2254 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (2150 2150 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (2093 1127 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1948 1948 (:TYPE-PRESCRIPTION BOOLEANP))
 (1606 804 (:REWRITE DEFAULT-+-2))
 (1573 145 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (1297 399 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (1297 399 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (1288 1127 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (1288 1127 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1127 1127 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1127 1127 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1127 1127 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1127 1127 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1127 1127 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (1127 1127 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1127 1127 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (1117 1117 (:TYPE-PRESCRIPTION LIST::FINALCDR))
 (1098 61 (:REWRITE BAG::UNIQUE-MEMBERP-MEANS-COUNT-IS-ONE))
 (1014 1014 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1014 1014 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (804 804 (:REWRITE DEFAULT-+-1))
 (800 50 (:REWRITE BAG::REMOVE-BAG-OF-CONS))
 (738 738 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (671 61 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (557 557 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (557 557 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (507 507 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (502 50 (:REWRITE BAG::MEMBERP-OF-REMOVE-1-IRREL))
 (500 50 (:REWRITE BAG::SUBBAGP-MEANS-REMOVE-BAG-IS-NIL))
 (449 449 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (399 399 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (384 384 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (384 384 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (384 384 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (346 173 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (344 344 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (290 290 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (290 290 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (268 5 (:REWRITE BAG::PERM-OF-CONS-TO-FALSE-ALT))
 (230 230 (:REWRITE LIST::SUBSET-CHAINING-2))
 (230 230 (:REWRITE LIST::SUBSET-CHAINING-1))
 (230 230 (:REWRITE LIST::SUBSET-BY-MULTIPLICITY))
 (213 186 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (204 188 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (198 198 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (198 198 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (198 198 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (198 198 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (197 145 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (192 192 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (168 168 (:LINEAR BAG::COUNT-WITH-SUBBAGP-LINEAR))
 (156 156 (:REWRITE LIST::SUBSETP-ID))
 (150 50 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (147 147 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (145 145 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (145 145 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (145 145 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (145 145 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (142 133 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (122 122 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (120 2 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (116 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (100 100 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (100 50 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (100 50 (:REWRITE BAG::REMOVE-BAG-NOT-CONSP-X))
 (100 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (68 68 (:TYPE-PRESCRIPTION BAG::REMOVE-BAG))
 (67 67 (:REWRITE BAG::MY-PERM-COMMON-ELIMINATION))
 (61 61 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (61 61 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (61 61 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (61 61 (:REWRITE BAG::COUNT-WHEN-NON-MEMBER))
 (61 61 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (52 52 (:META BAG::*META*-SYNTAX-EV-REMOVE-1-PERM))
 (50 50 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (50 50 (:REWRITE BAG::REMOVE-1-IMPLIES-REMOVE-BAG-SINGLETON))
 (50 50 (:REWRITE BAG::MEMBERP-OF-REMOVE-1-IRREL-CHEAP))
 (50 50 (:REWRITE LIST::FIX-EQUIV))
 (50 50 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (50 50 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (30 17 (:REWRITE DEFAULT-<-2))
 (17 17 (:REWRITE DEFAULT-<-1))
 (14 2 (:REWRITE FOLD-CONSTS-IN-+))
 (12 12 (:REWRITE LIST::MEMBERP-CAR))
 (6 2 (:REWRITE UNICITY-OF-0))
 (4 2 (:DEFINITION FIX))
 )
(CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-COMMUTES
 (7470 18 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (2232 144 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1530 126 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (828 720 (:REWRITE DEFAULT-CDR))
 (738 126 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (612 612 (:REWRITE DEFAULT-CAR))
 (504 126 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (450 126 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (427 427 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (378 126 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (252 252 (:TYPE-PRESCRIPTION LEN))
 (234 126 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (218 218 (:REWRITE CLR-DIFFERENTIAL))
 (218 218 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (218 218 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (218 218 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (218 218 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (218 218 (:META CONS-EQUAL-SMART-META))
 (144 144 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (144 144 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (144 126 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (144 126 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (126 126 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (126 126 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (126 126 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (126 126 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (72 72 (:TYPE-PRESCRIPTION BOOLEANP))
 (72 72 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (28 28 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (18 18 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 )
(CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-APPEND-1
 (9472 18 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-REC))
 (9220 18 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-BODY-IS-TAIL-DOMINATOR-BODY-BODY-REC))
 (9202 18 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (3840 140 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1530 126 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (959 636 (:REWRITE DEFAULT-CDR))
 (748 748 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (748 374 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (748 374 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (740 525 (:REWRITE DEFAULT-CAR))
 (738 126 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (541 541 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (524 212 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (504 126 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (450 126 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (378 126 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (374 374 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (288 68 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (252 252 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (252 252 (:TYPE-PRESCRIPTION LEN))
 (234 126 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (212 212 (:REWRITE CLR-DIFFERENTIAL))
 (212 212 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (212 212 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (212 212 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (212 212 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (212 212 (:META CONS-EQUAL-SMART-META))
 (202 202 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (202 202 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (144 126 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (144 126 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (140 140 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (140 140 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (126 126 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (126 126 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (126 126 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (126 126 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (126 126 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (92 92 (:TYPE-PRESCRIPTION BOOLEANP))
 (54 18 (:REWRITE LIST::CONSP-APPEND))
 (54 9 (:DEFINITION BINARY-APPEND))
 (52 26 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (52 26 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (26 26 (:REWRITE LIST::CDR-APPEND-CONSP))
 (26 26 (:REWRITE LIST::CAR-APPEND-CONSP))
 (18 18 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (18 18 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (18 18 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (18 18 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 )
(CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-APPEND-2
 (428 1 (:DEFINITION CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS))
 (423 1 (:REWRITE CPATH::TAIL-DOMINATOR-BOODY-TO-TAIL-DOMINATOR-BODY-REC))
 (421 1 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-REC))
 (416 1 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-BODY-IS-TAIL-DOMINATOR-BODY-BODY-REC))
 (415 1 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (124 8 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (85 7 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (46 40 (:REWRITE DEFAULT-CDR))
 (41 7 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (34 34 (:REWRITE DEFAULT-CAR))
 (28 7 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (25 7 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (24 24 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (21 7 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (16 12 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (15 15 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (15 15 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (15 15 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (14 14 (:TYPE-PRESCRIPTION LEN))
 (13 7 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (12 12 (:REWRITE CLR-DIFFERENTIAL))
 (12 12 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (12 12 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (12 12 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (12 12 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (12 12 (:META CONS-EQUAL-SMART-META))
 (8 8 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (8 8 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (8 7 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (8 7 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (7 7 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (7 7 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (7 7 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (7 7 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 (4 4 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (1 1 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-REC))
 (1 1 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (1 1 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (1 1 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (1 1 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 )
(CPATH::SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-FN
 (24583 13 (:DEFINITION CPATH::HYP-FOR-SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-FN))
 (14612 13 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-FN))
 (13260 52 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (9928 68 (:DEFINITION CPATH::TAIL-DOMINATES))
 (9822 215 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (8216 26 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (7514 13 (:DEFINITION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (7220 128 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (6768 8 (:DEFINITION CPATH::SHOW-SYNTAX-TAIL-DOMINATES-FN))
 (5211 38 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (4586 4586 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4194 1585 (:REWRITE DEFAULT-CAR))
 (4124 84 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (3864 322 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (3613 37 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (3578 2449 (:REWRITE DEFAULT-CDR))
 (2775 185 (:DEFINITION SYN::QUOTEP))
 (1620 60 (:DEFINITION CPATH::PREFIXES))
 (1600 8 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (1514 795 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1482 13 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (1288 322 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1288 322 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (1239 3 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-TAIL-DOMINATES-FN))
 (1023 11 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (980 100 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (966 322 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (856 16 (:REWRITE CPATH::SHOW-SYNTAX-DOMINATES-P-TO-HYP-FOR))
 (832 13 (:DEFINITION CPATH::SUDO-LEN))
 (805 161 (:DEFINITION SYN::DEQUOTE))
 (795 795 (:REWRITE CLR-DIFFERENTIAL))
 (795 795 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (795 795 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (795 795 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (795 795 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (795 795 (:META CONS-EQUAL-SMART-META))
 (780 52 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (752 414 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (743 743 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (741 741 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (741 741 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (741 741 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (719 719 (:TYPE-PRESCRIPTION BOOLEANP))
 (682 322 (:REWRITE DEFAULT-+-2))
 (676 260 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (644 644 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (644 644 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (644 644 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (644 322 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (624 8 (:DEFINITION CPATH::SHOW-SYNTAX-DOMINATES-P-FN))
 (456 456 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (438 438 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (438 438 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (430 430 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (430 430 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (381 322 (:REWRITE DEFAULT-+-1))
 (357 17 (:DEFINITION LENGTH))
 (322 322 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (322 322 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (322 322 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (322 322 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (322 322 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (322 322 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (322 322 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (322 322 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (322 322 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (322 322 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (319 182 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (300 60 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (260 260 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (208 52 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (208 52 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (136 34 (:REWRITE COMMUTATIVITY-OF-+))
 (136 34 (:DEFINITION INTEGER-ABS))
 (104 104 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (104 104 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (104 104 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (104 104 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (104 104 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (104 104 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (104 104 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (104 52 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (104 52 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (100 100 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (100 100 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (81 51 (:REWRITE DEFAULT-<-1))
 (78 78 (:TYPE-PRESCRIPTION CPATH::SUDO-LEN))
 (78 78 (:TYPE-PRESCRIPTION CPATH::INTEGERP-SUDO-LEN))
 (72 51 (:REWRITE DEFAULT-<-2))
 (68 68 (:REWRITE CPATH::OPEN-TAIL-DOMINATES))
 (52 52 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (52 52 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (52 52 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (34 34 (:REWRITE DEFAULT-UNARY-MINUS))
 (26 26 (:TYPE-PRESCRIPTION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (24 24 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (24 24 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (24 24 (:REWRITE SYN::IFF-CONJOIN))
 (22 22 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (22 22 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (22 22 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (17 17 (:REWRITE DEFAULT-REALPART))
 (17 17 (:REWRITE DEFAULT-NUMERATOR))
 (17 17 (:REWRITE DEFAULT-IMAGPART))
 (17 17 (:REWRITE DEFAULT-DENOMINATOR))
 (17 17 (:REWRITE DEFAULT-COERCE-2))
 (17 17 (:REWRITE DEFAULT-COERCE-1))
 (13 13 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (13 13 (:TYPE-PRESCRIPTION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (13 13 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (11 11 (:DEFINITION SYN::ENQUOTE))
 )
(CPATH::SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IRRELEVANT
 (9416 22 (:DEFINITION CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS))
 (9306 22 (:REWRITE CPATH::TAIL-DOMINATOR-BOODY-TO-TAIL-DOMINATOR-BODY-REC))
 (9262 22 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-REC))
 (9152 22 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-BODY-IS-TAIL-DOMINATOR-BODY-BODY-REC))
 (9130 22 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (4243 4243 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4082 2972 (:REWRITE DEFAULT-CDR))
 (3119 222 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (2888 1891 (:REWRITE DEFAULT-CAR))
 (2139 23 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (1955 23 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (1916 494 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (1870 154 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1497 848 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (948 494 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (902 154 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (848 848 (:REWRITE CLR-DIFFERENTIAL))
 (848 848 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (848 848 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (848 848 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (848 848 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (848 848 (:META CONS-EQUAL-SMART-META))
 (649 649 (:TYPE-PRESCRIPTION BOOLEANP))
 (616 154 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (550 154 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (530 265 (:REWRITE DEFAULT-+-2))
 (462 154 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (330 330 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (330 330 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (330 330 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (308 308 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (308 308 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (308 308 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (286 154 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (265 265 (:REWRITE DEFAULT-+-1))
 (222 222 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (222 222 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (176 154 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (176 154 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (154 154 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (154 154 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (154 154 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (154 154 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (154 154 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (154 154 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (154 154 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (88 88 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (46 23 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (23 23 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (23 23 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (23 23 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (23 23 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (23 23 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (23 23 (:REWRITE SYN::IFF-CONJOIN))
 (23 23 (:REWRITE CPATH::HYP-FOR-SHOW-SYNTAX-TAIL-DOMINATES-IRRELEVANT))
 (23 23 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (23 23 (:DEFINITION SYN::ENQUOTE))
 (22 22 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-REC))
 (22 22 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (22 22 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (22 22 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (20 20 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (20 20 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (20 20 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 )
(CPATH::HYP-FOR-SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-FN
 (45210 15 (:DEFINITION CPATH::HYP-FOR-SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-FN))
 (33705 30 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-FN))
 (22950 90 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (15696 344 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (15476 106 (:DEFINITION CPATH::TAIL-DOMINATES))
 (14499 130 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (14220 45 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (11514 204 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (8994 18 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-TAIL-DOMINATES-FN))
 (8670 15 (:DEFINITION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (8396 8396 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (8390 86 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (6993 3188 (:REWRITE DEFAULT-CAR))
 (6768 8 (:DEFINITION CPATH::SHOW-SYNTAX-TAIL-DOMINATES-FN))
 (6591 4491 (:REWRITE DEFAULT-CDR))
 (6300 525 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (5986 122 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (5775 385 (:DEFINITION SYN::QUOTEP))
 (3420 30 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (3375 1768 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2722 98 (:DEFINITION CPATH::PREFIXES))
 (2418 26 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (2227 232 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (2100 525 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (2100 525 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (1768 1768 (:REWRITE CLR-DIFFERENTIAL))
 (1768 1768 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1768 1768 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1768 1768 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1768 1768 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1768 1768 (:META CONS-EQUAL-SMART-META))
 (1720 344 (:DEFINITION SYN::DEQUOTE))
 (1607 1607 (:TYPE-PRESCRIPTION BOOLEANP))
 (1600 8 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (1575 525 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (1350 90 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (1230 672 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (1187 1187 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1187 1187 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1187 1187 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (1176 1176 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (1170 450 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (1050 1050 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (1050 1050 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (1050 1050 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (1050 525 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (960 15 (:DEFINITION CPATH::SUDO-LEN))
 (856 16 (:REWRITE CPATH::SHOW-SYNTAX-DOMINATES-P-TO-HYP-FOR))
 (760 760 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (698 328 (:REWRITE DEFAULT-+-2))
 (696 696 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (696 696 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (688 688 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (688 688 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (624 8 (:DEFINITION CPATH::SHOW-SYNTAX-DOMINATES-P-FN))
 (525 525 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (525 525 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (525 525 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (525 525 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (525 525 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (525 525 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (525 525 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (525 525 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (525 525 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (525 525 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (490 98 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (450 450 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (387 328 (:REWRITE DEFAULT-+-1))
 (360 90 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (360 90 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (357 17 (:DEFINITION LENGTH))
 (327 186 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (232 232 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (232 232 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (180 180 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (180 180 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (180 180 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (180 180 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (180 180 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (180 180 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (180 180 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (180 90 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (180 90 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (136 34 (:REWRITE COMMUTATIVITY-OF-+))
 (136 34 (:DEFINITION INTEGER-ABS))
 (106 106 (:REWRITE CPATH::OPEN-TAIL-DOMINATES))
 (90 90 (:TYPE-PRESCRIPTION CPATH::SUDO-LEN))
 (90 90 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (90 90 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (90 90 (:TYPE-PRESCRIPTION CPATH::INTEGERP-SUDO-LEN))
 (90 90 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (87 53 (:REWRITE DEFAULT-<-1))
 (76 53 (:REWRITE DEFAULT-<-2))
 (71 71 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (56 56 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (45 45 (:TYPE-PRESCRIPTION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (34 34 (:REWRITE DEFAULT-UNARY-MINUS))
 (30 30 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (26 26 (:DEFINITION SYN::ENQUOTE))
 (22 22 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (22 22 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (22 22 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (17 17 (:REWRITE DEFAULT-REALPART))
 (17 17 (:REWRITE DEFAULT-NUMERATOR))
 (17 17 (:REWRITE DEFAULT-IMAGPART))
 (17 17 (:REWRITE DEFAULT-DENOMINATOR))
 (17 17 (:REWRITE DEFAULT-COERCE-2))
 (17 17 (:REWRITE DEFAULT-COERCE-1))
 (15 15 (:TYPE-PRESCRIPTION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (15 15 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 )
(CPATH::HYP-FOR-SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IRRELEVANT
 (10946 26 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-REC))
 (10816 26 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-BODY-IS-TAIL-DOMINATOR-BODY-BODY-REC))
 (10790 26 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (3937 2909 (:REWRITE DEFAULT-CDR))
 (3706 3706 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3224 208 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (2493 660 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (2210 182 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (2131 1583 (:REWRITE DEFAULT-CAR))
 (1233 660 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1066 182 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (792 396 (:REWRITE DEFAULT-+-2))
 (728 182 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (670 439 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (650 182 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (546 182 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (439 439 (:REWRITE CLR-DIFFERENTIAL))
 (439 439 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (439 439 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (439 439 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (439 439 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (439 439 (:META CONS-EQUAL-SMART-META))
 (396 396 (:REWRITE DEFAULT-+-1))
 (390 390 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (390 390 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (390 390 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (366 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (364 364 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (364 364 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (364 364 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (354 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (338 182 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (306 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (231 231 (:TYPE-PRESCRIPTION BOOLEANP))
 (208 208 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (208 208 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (208 182 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (208 182 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (182 182 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (182 182 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (182 182 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (182 182 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (182 182 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (182 182 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (182 182 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (104 104 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (42 6 (:REWRITE FOLD-CONSTS-IN-+))
 (38 38 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (38 38 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (38 38 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (26 26 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (26 26 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (26 26 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (18 6 (:REWRITE UNICITY-OF-0))
 (12 6 (:DEFINITION FIX))
 )
(CPATH::SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-TO-HYP-FOR
 (12209 29 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-REC))
 (12064 29 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-BODY-IS-TAIL-DOMINATOR-BODY-BODY-REC))
 (12035 29 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (4103 3099 (:REWRITE DEFAULT-CDR))
 (3774 3774 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3596 232 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (2523 666 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (2465 203 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (2236 1684 (:REWRITE DEFAULT-CAR))
 (1239 666 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1189 203 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (846 423 (:REWRITE DEFAULT-+-2))
 (812 203 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (742 487 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (725 203 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (609 203 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (487 487 (:REWRITE CLR-DIFFERENTIAL))
 (487 487 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (487 487 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (487 487 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (487 487 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (487 487 (:META CONS-EQUAL-SMART-META))
 (435 435 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (435 435 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (435 435 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (423 423 (:REWRITE DEFAULT-+-1))
 (406 406 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (406 406 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (406 406 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (377 203 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (366 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (354 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (306 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (255 255 (:TYPE-PRESCRIPTION BOOLEANP))
 (232 232 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (232 232 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (232 203 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (232 203 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (203 203 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (203 203 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (203 203 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (203 203 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (203 203 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (203 203 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (203 203 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (116 116 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (46 46 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (46 46 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (46 46 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (42 6 (:REWRITE FOLD-CONSTS-IN-+))
 (29 29 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (29 29 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (29 29 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (18 6 (:REWRITE UNICITY-OF-0))
 (12 6 (:DEFINITION FIX))
 )
(CPATH::PSEUDO-TERMP-HYP-FOR-SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS
 (5894 14 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-REC))
 (5824 14 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-BODY-IS-TAIL-DOMINATOR-BODY-BODY-REC))
 (5810 14 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (2409 1782 (:REWRITE DEFAULT-CDR))
 (2294 2294 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1750 472 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (1736 112 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1190 98 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1152 859 (:REWRITE DEFAULT-CAR))
 (860 472 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (604 302 (:REWRITE DEFAULT-+-2))
 (574 98 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (392 98 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (366 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (364 238 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (354 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (350 98 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (306 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (302 302 (:REWRITE DEFAULT-+-1))
 (294 98 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (238 238 (:REWRITE CLR-DIFFERENTIAL))
 (238 238 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (238 238 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (238 238 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (238 238 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (238 238 (:META CONS-EQUAL-SMART-META))
 (210 210 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (210 210 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (210 210 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (196 196 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (196 196 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (196 196 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (182 98 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (126 126 (:TYPE-PRESCRIPTION BOOLEANP))
 (112 112 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (112 112 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (112 98 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (112 98 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (98 98 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (98 98 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (98 98 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (98 98 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (98 98 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (98 98 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (98 98 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (56 56 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (42 6 (:REWRITE FOLD-CONSTS-IN-+))
 (38 38 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (38 38 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (38 38 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (18 6 (:REWRITE UNICITY-OF-0))
 (14 14 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (14 14 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (14 14 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (12 12 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (12 6 (:DEFINITION FIX))
 )
(CPATH::SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS
 (28146 28146 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (28109 20475 (:REWRITE DEFAULT-CDR))
 (13326 8673 (:REWRITE DEFAULT-CAR))
 (10155 5381 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (9940 710 (:DEFINITION CPATH::PREFIXES))
 (7529 3765 (:REWRITE DEFAULT-+-2))
 (7399 151 (:DEFINITION CPATH::S2L))
 (5655 710 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (3765 3765 (:REWRITE DEFAULT-+-1))
 (3550 710 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (3137 3137 (:REWRITE SYN::EVAL-CONSTRAINT-9))
 (3137 3137 (:REWRITE SYN::EVAL-CONSTRAINT-8))
 (3137 3137 (:REWRITE SYN::EVAL-CONSTRAINT-3))
 (2609 1004 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (1726 1006 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (1644 710 (:REWRITE CPATH::OPEN-TAIL-DOMINATES))
 (1375 1375 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-WORKS))
 (1375 1375 (:REWRITE CPATH::SHOW-SYNTAX-CONSP-FROM-ALIST-WORKS))
 (1306 1306 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (1306 1306 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (1306 1306 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (1203 1203 (:REWRITE CLR-DIFFERENTIAL))
 (1203 1203 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1203 1203 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1203 1203 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1203 1203 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1203 1203 (:META CONS-EQUAL-SMART-META))
 (802 802 (:REWRITE CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-IMPLIES-TAIL-DOMINATES))
 (559 559 (:REWRITE CPATH::CONTAINS-LIST-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (380 380 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (380 380 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (380 380 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (366 6 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (354 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (306 6 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (302 151 (:DEFINITION LIST::BINARY-APPENDX))
 (166 166 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (151 151 (:REWRITE CPATH::SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-MEMBERP))
 (149 1 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-APPEND-2))
 (42 6 (:REWRITE FOLD-CONSTS-IN-+))
 (18 6 (:REWRITE UNICITY-OF-0))
 (12 6 (:DEFINITION FIX))
 (2 2 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 )
(CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE
 (5182 5182 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (2011 169 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1404 1404 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (912 8 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (808 40 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (760 16 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (700 169 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (649 649 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (576 48 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (571 169 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (548 414 (:REWRITE DEFAULT-CDR))
 (512 16 (:DEFINITION TRUE-LISTP))
 (322 322 (:TYPE-PRESCRIPTION LEN))
 (281 153 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (278 278 (:REWRITE DEFAULT-CAR))
 (240 144 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (183 43 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (178 160 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (171 153 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (169 169 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (169 169 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (169 169 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (168 168 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (168 168 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (168 168 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (168 168 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (144 144 (:REWRITE CLR-DIFFERENTIAL))
 (144 144 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (144 144 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (144 144 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (144 144 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (144 144 (:META CONS-EQUAL-SMART-META))
 (136 136 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (96 96 (:TYPE-PRESCRIPTION BOOLEANP))
 (88 88 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (80 40 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (77 46 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (71 43 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (71 43 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (49 49 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (49 49 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (49 49 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (48 48 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (48 48 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (32 8 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (16 8 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (16 8 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (8 8 (:REWRITE LIST::OPEN-EQUIV))
 (8 8 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE
 (1695 5 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (828 23 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (749 749 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (749 749 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (587 22 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (425 35 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (325 325 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (325 325 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (281 23 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (251 10 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (240 20 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (205 35 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (195 195 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (181 181 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (179 179 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (178 6 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (146 116 (:REWRITE DEFAULT-CDR))
 (140 35 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (126 7 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP-NIL))
 (126 7 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP))
 (125 35 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (124 124 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (124 124 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (113 22 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (105 35 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (104 104 (:REWRITE DEFAULT-CAR))
 (90 90 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (88 22 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (70 70 (:TYPE-PRESCRIPTION LEN))
 (69 23 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (65 65 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (65 35 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (64 22 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (60 40 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (54 42 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (51 17 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (51 17 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (42 42 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (42 42 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (42 42 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (42 42 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (40 40 (:REWRITE CLR-DIFFERENTIAL))
 (40 40 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (40 40 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (40 40 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (40 40 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (40 40 (:META CONS-EQUAL-SMART-META))
 (40 35 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (35 35 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (35 35 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (35 35 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (34 23 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (31 22 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (29 23 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (26 22 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (23 23 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (23 23 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (23 23 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (23 23 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (22 22 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (22 22 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (22 22 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (20 20 (:TYPE-PRESCRIPTION BOOLEANP))
 (20 20 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (20 20 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (20 10 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (17 17 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (17 17 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (17 17 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (17 17 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (17 17 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (17 17 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (17 17 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (15 15 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (15 15 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (15 15 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (15 15 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (15 15 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (15 15 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (15 15 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (15 15 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (14 7 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (14 7 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (7 7 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (6 3 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (5 5 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (3 3 (:TYPE-PRESCRIPTION LIST::DISJOINT))
 )
(CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE
 (2490 6 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (744 48 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (646 646 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (646 646 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (510 42 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (484 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (412 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (312 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (282 246 (:REWRITE DEFAULT-CDR))
 (246 42 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (229 229 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (229 229 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (212 212 (:REWRITE DEFAULT-CAR))
 (192 12 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (171 171 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (168 42 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (150 42 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (146 9 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (126 42 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (96 72 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (88 88 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (88 88 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (88 88 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (84 84 (:TYPE-PRESCRIPTION LEN))
 (80 4 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP))
 (78 42 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (73 73 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (72 72 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (72 72 (:REWRITE CLR-DIFFERENTIAL))
 (72 72 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (72 72 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (72 72 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (72 72 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (72 72 (:META CONS-EQUAL-SMART-META))
 (72 4 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP-NIL))
 (64 64 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (64 64 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (64 64 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (64 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (60 2 (:REWRITE CPATH::ALL-DIVERGE-OF-CDR))
 (54 18 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (54 18 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (52 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (48 48 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (48 48 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (48 42 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (48 42 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (46 46 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (46 46 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (46 46 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (46 46 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (42 42 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (42 42 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (42 42 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (40 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (36 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (36 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (34 34 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (34 34 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (24 24 (:TYPE-PRESCRIPTION BOOLEANP))
 (24 24 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (20 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (20 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (20 2 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (18 18 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (18 18 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (18 18 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (18 18 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (18 18 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (18 18 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (18 18 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (16 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (16 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (16 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (16 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (12 12 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (12 12 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (9 9 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (9 9 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (9 9 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (9 9 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (8 4 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (6 6 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (5 5 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (4 4 (:TYPE-PRESCRIPTION BAG::UNIQUE-MEMBERPS))
 (4 4 (:TYPE-PRESCRIPTION LIST::DISJOINT))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (4 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (4 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (4 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERPS-AND-SUBBAGP-ALT))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERPS-AND-SUBBAGP))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP-THREE))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP-FOUR))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP-ALT))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP))
 (2 2 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (2 2 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (2 2 (:META BAG::META-RULE-TO-SHOW-UNIQUE-MEMBERPS))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 )
(CPATH::SHOW-PREFIX-DIVERGE-FROM-TYPE-ALIST-FN
 (151316 11 (:DEFINITION CPATH::HYP-FOR-SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-FN))
 (99462 33 (:DEFINITION CPATH::HYP-FOR-SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-FN))
 (74151 66 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-FN))
 (50490 198 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (39105 858 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (38544 264 (:DEFINITION CPATH::TAIL-DOMINATES))
 (32307 297 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (32142 957 (:REWRITE MV-NTH-TO-VAL))
 (31284 99 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (27918 495 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (27918 33 (:DEFINITION CPATH::SHOW-SYNTAX-TAIL-DOMINATES-FN))
 (19667 7810 (:REWRITE DEFAULT-CAR))
 (19334 19334 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (19206 198 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (19074 33 (:DEFINITION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (17061 33 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-TAIL-DOMINATES-FN))
 (16379 1364 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (16203 330 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (15151 10299 (:REWRITE DEFAULT-CDR))
 (13860 924 (:DEFINITION SYN::QUOTEP))
 (11748 902 (:DEFINITION SYN::CONSP))
 (10164 737 (:DEFINITION SYN::APPENDP))
 (8075 4263 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (7524 66 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (6600 33 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (6413 616 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (6204 231 (:DEFINITION CPATH::PREFIXES))
 (6138 66 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (5456 1364 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (5423 1364 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (5390 770 (:DEFINITION SYN::CDR))
 (4708 11 (:DEFINITION CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS))
 (4653 11 (:REWRITE CPATH::TAIL-DOMINATOR-BOODY-TO-TAIL-DOMINATOR-BODY-REC))
 (4631 11 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-REC))
 (4576 11 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-BODY-IS-TAIL-DOMINATOR-BODY-BODY-REC))
 (4565 11 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (4263 4263 (:REWRITE CLR-DIFFERENTIAL))
 (4263 4263 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (4263 4263 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (4263 4263 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (4263 4263 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (4263 4263 (:META CONS-EQUAL-SMART-META))
 (4125 825 (:DEFINITION SYN::DEQUOTE))
 (4092 1364 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (3812 3812 (:TYPE-PRESCRIPTION BOOLEANP))
 (3619 726 (:DEFINITION SYN::CAR))
 (3531 66 (:REWRITE CPATH::SHOW-SYNTAX-DOMINATES-P-TO-HYP-FOR))
 (3102 3102 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (3102 3102 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (3102 3102 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (3003 1650 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (2970 198 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (2904 2904 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (2893 2893 (:TYPE-PRESCRIPTION LEN))
 (2728 2728 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (2728 2728 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (2728 2728 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (2717 1364 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2574 990 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (2574 33 (:DEFINITION CPATH::SHOW-SYNTAX-DOMINATES-P-FN))
 (2112 33 (:DEFINITION CPATH::SUDO-LEN))
 (1749 1749 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (1749 1749 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (1749 1749 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (1738 1364 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (1716 1716 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (1716 1716 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (1375 1364 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (1375 1364 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1364 1364 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1364 1364 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1364 1364 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1364 1364 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1364 1364 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (1364 1364 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1364 1364 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (1155 231 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (990 990 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (792 198 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (792 198 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (616 616 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (616 616 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (396 396 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (396 396 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (396 396 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (396 396 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (396 396 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (396 396 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (396 396 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (396 198 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (396 198 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (396 33 (:DEFINITION LEN))
 (264 264 (:REWRITE CPATH::OPEN-TAIL-DOMINATES))
 (264 99 (:REWRITE DEFAULT-+-2))
 (264 66 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (198 198 (:TYPE-PRESCRIPTION CPATH::SUDO-LEN))
 (198 198 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (198 198 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (198 198 (:TYPE-PRESCRIPTION CPATH::INTEGERP-SUDO-LEN))
 (198 198 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (165 165 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (132 132 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (132 132 (:REWRITE SYN::IFF-CONJOIN))
 (132 66 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (105 37 (:REWRITE DEFAULT-<-1))
 (99 99 (:TYPE-PRESCRIPTION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (99 99 (:REWRITE DEFAULT-+-1))
 (72 37 (:REWRITE DEFAULT-<-2))
 (66 66 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (66 66 (:DEFINITION SYN::ENQUOTE))
 (44 44 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (33 33 (:TYPE-PRESCRIPTION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (33 33 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (11 11 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-REC))
 (11 11 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (11 11 (:TYPE-PRESCRIPTION CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS))
 (11 11 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (11 11 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (4 4 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(CPATH::SHOW-PREFIX-DIVERGE-FROM-TYPE-ALIST-IRRELEVANT
 (108 66 (:REWRITE DEFAULT-CAR))
 (87 87 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (64 49 (:REWRITE DEFAULT-CDR))
 (32 16 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (21 6 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (16 16 (:TYPE-PRESCRIPTION BOOLEANP))
 (16 16 (:REWRITE CLR-DIFFERENTIAL))
 (16 16 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (16 16 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (16 16 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (16 16 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (16 16 (:META CONS-EQUAL-SMART-META))
 (16 1 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (16 1 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (9 6 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (6 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE DEFAULT-+-1))
 (2 2 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (2 2 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (2 2 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 )
(CPATH::HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-TYPE-ALIST-FN
 (268598 11 (:DEFINITION CPATH::HYP-FOR-SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-FN))
 (198924 66 (:DEFINITION CPATH::HYP-FOR-SYNTAX-CONTAINS-PREFIXED-TAIL-DOMINATOR-FN))
 (148302 132 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-PREFIXED-TAIL-DOMINATOR-P-FN))
 (100980 396 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-PREFIXED-TAIL-DOMINATOR))
 (67815 1485 (:DEFINITION CPATH::TAIL-DOMINATES-P))
 (67452 462 (:DEFINITION CPATH::TAIL-DOMINATES))
 (62568 198 (:DEFINITION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (61149 528 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-DOMINATES-P-FN))
 (53427 1452 (:REWRITE MV-NTH-TO-VAL))
 (50292 891 (:REWRITE CPATH::NOT-TAIL-DOMINATES-P-IMPLIES-NIL-PREFIX))
 (38148 66 (:DEFINITION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (35607 363 (:DEFINITION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (34448 34448 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (34122 66 (:DEFINITION CPATH::HYP-FOR-SHOW-SYNTAX-TAIL-DOMINATES-FN))
 (29798 13816 (:REWRITE DEFAULT-CAR))
 (28259 2354 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (27918 33 (:DEFINITION CPATH::SHOW-SYNTAX-TAIL-DOMINATES-FN))
 (26866 18186 (:REWRITE DEFAULT-CDR))
 (25905 528 (:REWRITE CPATH::V0-TAIL-DOMINATES-TO-TAIL-DOMINATES-P))
 (24750 1650 (:DEFINITION SYN::QUOTEP))
 (20955 1595 (:DEFINITION SYN::CONSP))
 (17985 1298 (:DEFINITION SYN::APPENDP))
 (15048 132 (:DEFINITION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (14543 7662 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (11946 429 (:DEFINITION CPATH::PREFIXES))
 (10901 1078 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (9779 1397 (:DEFINITION SYN::CDR))
 (9416 2354 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (9383 2354 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (9207 99 (:DEFINITION CPATH::SYNTAX-QUOTE-TAIL-DOMINATES-FN))
 (7662 7662 (:REWRITE CLR-DIFFERENTIAL))
 (7662 7662 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7662 7662 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7662 7662 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7662 7662 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7662 7662 (:META CONS-EQUAL-SMART-META))
 (7425 1485 (:DEFINITION SYN::DEQUOTE))
 (7062 2354 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (6881 6881 (:TYPE-PRESCRIPTION BOOLEANP))
 (6600 33 (:REWRITE CPATH::CONSP-PREFIXES-V1-TAIL-DOMINATES))
 (6424 1287 (:DEFINITION SYN::CAR))
 (5940 396 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (5313 5313 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (5313 5313 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (5313 5313 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (5313 2904 (:REWRITE CPATH::NOT-CONSP-NOT-TAIL-DOMINATES-P))
 (5148 1980 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (5115 5115 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATES-P))
 (5038 5038 (:TYPE-PRESCRIPTION LEN))
 (4708 4708 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (4708 4708 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (4708 4708 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (4708 11 (:DEFINITION CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS))
 (4697 2354 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (4653 11 (:REWRITE CPATH::TAIL-DOMINATOR-BOODY-TO-TAIL-DOMINATOR-BODY-REC))
 (4631 11 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-REC))
 (4576 11 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-BODY-IS-TAIL-DOMINATOR-BODY-BODY-REC))
 (4565 11 (:DEFINITION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (4224 66 (:DEFINITION CPATH::SUDO-LEN))
 (3531 66 (:REWRITE CPATH::SHOW-SYNTAX-DOMINATES-P-TO-HYP-FOR))
 (3333 3333 (:TYPE-PRESCRIPTION CPATH::PREFIXES))
 (3003 3003 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (3003 3003 (:REWRITE CPATH::LIST-PREFIXED-TAIL-DOMINATOR-P-IMPLIES-V0-TAIL-DOMINATES))
 (2970 2970 (:REWRITE CPATH::PREFIXED-TAIL-DOMINATOR-MEMBERSHIP-IMPLIES-TAIL-DOMINATES-P))
 (2970 2970 (:REWRITE CPATH::CONSP-DOMINATES-IMPLIES-TAIL-DOMINATES-P))
 (2728 2354 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (2574 33 (:DEFINITION CPATH::SHOW-SYNTAX-DOMINATES-P-FN))
 (2365 2354 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2365 2354 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (2354 2354 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2354 2354 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2354 2354 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2354 2354 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (2354 2354 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2354 2354 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2354 2354 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2145 429 (:REWRITE LIST::MAP-CONS-OF-NON-CONSP-TWO))
 (1980 1980 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (1584 396 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (1584 396 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (1078 1078 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1078 1078 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (792 792 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (792 792 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (792 792 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (792 792 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (792 792 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (792 792 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (792 792 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (792 396 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-2))
 (792 396 (:REWRITE CPATH::NOT-CONSP-Y-NOT-PREFIXED-TAIL-DOMINATOR-P))
 (792 66 (:DEFINITION LEN))
 (528 198 (:REWRITE DEFAULT-+-2))
 (528 132 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (462 462 (:REWRITE CPATH::OPEN-TAIL-DOMINATES))
 (396 396 (:TYPE-PRESCRIPTION CPATH::SUDO-LEN))
 (396 396 (:TYPE-PRESCRIPTION LIST::MAP-CONS-TYPE-1))
 (396 396 (:TYPE-PRESCRIPTION LIST::MAP-CONS))
 (396 396 (:TYPE-PRESCRIPTION CPATH::INTEGERP-SUDO-LEN))
 (396 396 (:REWRITE LIST::MEMBERP-OF-MAP-CONS))
 (297 297 (:TYPE-PRESCRIPTION CPATH::HYP-FOR-SHOW-SYNTAX-CONSP-FN))
 (264 132 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (231 231 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DOMINATES-P-FN))
 (204 70 (:REWRITE DEFAULT-<-1))
 (198 198 (:TYPE-PRESCRIPTION CPATH::PREFIXED-TAIL-DOMINATOR-P))
 (198 198 (:REWRITE DEFAULT-+-1))
 (138 70 (:REWRITE DEFAULT-<-2))
 (132 132 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-QUOTE-PREFIXED-TAIL-DOMINATOR-P-FN))
 (99 99 (:DEFINITION SYN::ENQUOTE))
 (66 66 (:TYPE-PRESCRIPTION CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P))
 (66 66 (:REWRITE CPATH::CONTAINS-PREFIXED-TAIL-DOMINATOR-P-MEMBERSHIP-REDUCTION))
 (44 44 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (11 11 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-REC))
 (11 11 (:TYPE-PRESCRIPTION CPATH::TAIL-DOMINATOR-BODY-BODY-REC))
 (11 11 (:TYPE-PRESCRIPTION CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS))
 (11 11 (:REWRITE CPATH::TAIL-DOMINATOR-BODY-REC-MEMBERSHIP-REDUCTION))
 (11 11 (:REWRITE CPATH::CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-MEMBERSHIP-DECONSTRUCTION))
 (4 4 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(CPATH::HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-TYPE-ALIST-IRRELEVANT
 (151 97 (:REWRITE DEFAULT-CAR))
 (118 118 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (89 68 (:REWRITE DEFAULT-CDR))
 (42 21 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (42 12 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (32 2 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (32 2 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (21 21 (:TYPE-PRESCRIPTION BOOLEANP))
 (21 21 (:REWRITE CLR-DIFFERENTIAL))
 (21 21 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (21 21 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (21 21 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (21 21 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (21 21 (:META CONS-EQUAL-SMART-META))
 (18 12 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (12 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE DEFAULT-+-1))
 (4 4 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (4 4 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (4 4 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 )
(CPATH::TO-HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-TYPE-ALIST
 (266 161 (:REWRITE DEFAULT-CAR))
 (222 222 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (167 128 (:REWRITE DEFAULT-CDR))
 (63 18 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (52 26 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (48 3 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (48 3 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (27 18 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (26 26 (:TYPE-PRESCRIPTION BOOLEANP))
 (26 26 (:REWRITE CLR-DIFFERENTIAL))
 (26 26 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (26 26 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (26 26 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (26 26 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (26 26 (:META CONS-EQUAL-SMART-META))
 (18 9 (:REWRITE DEFAULT-+-2))
 (9 9 (:REWRITE DEFAULT-+-1))
 (6 6 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (6 6 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (6 6 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 )
(CPATH::PSEDU-TERMP-HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-TYPE-ALIST
 (101 64 (:REWRITE DEFAULT-CAR))
 (88 88 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (62 46 (:REWRITE DEFAULT-CDR))
 (42 12 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (18 12 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (16 8 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (13 13 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (12 6 (:REWRITE DEFAULT-+-2))
 (8 8 (:TYPE-PRESCRIPTION BOOLEANP))
 (8 8 (:REWRITE CLR-DIFFERENTIAL))
 (8 8 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (8 8 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (8 8 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (8 8 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (8 8 (:META CONS-EQUAL-SMART-META))
 (6 6 (:REWRITE DEFAULT-+-1))
 (4 4 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (4 4 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (4 4 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 )
(APPLY-FOR-DEFEVALUATOR
 (184 2 (:TYPE-PRESCRIPTION RETURN-LAST))
 (12 6 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (12 6 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (6 6 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (6 6 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (6 6 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-FROM-ALL-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-FROM-ALL-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION THROW-NONEXEC-ERROR))
 )
(CPATH::PD-EVAL
 (77 2 (:DEFINITION ACL2-COUNT))
 (21 10 (:REWRITE DEFAULT-+-2))
 (21 1 (:DEFINITION LENGTH))
 (14 14 (:TYPE-PRESCRIPTION ACL2-COUNT))
 (14 10 (:REWRITE DEFAULT-+-1))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12 1 (:DEFINITION LEN))
 (10 7 (:REWRITE DEFAULT-CDR))
 (8 2 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (8 2 (:REWRITE COMMUTATIVITY-OF-+))
 (8 2 (:DEFINITION INTEGER-ABS))
 (7 6 (:REWRITE DEFAULT-CAR))
 (6 3 (:TYPE-PRESCRIPTION RETURN-LAST))
 (4 2 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (3 3 (:TYPE-PRESCRIPTION THROW-NONEXEC-ERROR))
 (3 3 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION LEN))
 (1 1 (:REWRITE DEFAULT-REALPART))
 (1 1 (:REWRITE DEFAULT-NUMERATOR))
 (1 1 (:REWRITE DEFAULT-IMAGPART))
 (1 1 (:REWRITE DEFAULT-DENOMINATOR))
 (1 1 (:REWRITE DEFAULT-COERCE-2))
 (1 1 (:REWRITE DEFAULT-COERCE-1))
 )
(EVAL-LIST-KWOTE-LST
 (561 27 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (536 11 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (383 2 (:REWRITE LIST::TRUE-LISTP-FIX))
 (333 11 (:DEFINITION TRUE-LISTP))
 (229 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (207 3 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (129 2 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (85 85 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (75 70 (:REWRITE DEFAULT-CDR))
 (69 34 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (60 60 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (54 54 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (52 27 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (42 39 (:REWRITE DEFAULT-CAR))
 (35 35 (:REWRITE CLR-DIFFERENTIAL))
 (35 35 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (35 35 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (35 35 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (35 35 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (34 34 (:TYPE-PRESCRIPTION BOOLEANP))
 (34 34 (:META CONS-EQUAL-SMART-META))
 (29 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (12 2 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (10 6 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (8 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (8 2 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (7 6 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (6 3 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (5 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (5 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (5 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (4 3 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (3 3 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (3 3 (:REWRITE LIST::OPEN-EQUIV))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (2 2 (:TYPE-PRESCRIPTION LEN))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2 2 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2 2 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (1 1 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 )
(TRUE-LIST-FIX-EV-LST)
(EV-COMMUTES-CAR
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(EV-LST-COMMUTES-CDR
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-0)
(CPATH::PD-EVAL-CONSTRAINT-1
 (248 4 (:REWRITE ALIST::ASSOC-NON-MEMBERP))
 (154 2 (:DEFINITION ASSOC-EQUAL))
 (136 4 (:DEFINITION ALIST::KEYS))
 (104 8 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (32 8 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (32 8 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (20 18 (:REWRITE DEFAULT-CAR))
 (14 14 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (14 12 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (8 8 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (8 8 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (8 8 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (8 8 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (8 8 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (8 4 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (4 4 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (4 4 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (4 2 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (2 2 (:REWRITE CLR-DIFFERENTIAL))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2 2 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2 2 (:META CONS-EQUAL-SMART-META))
 (1 1 (:REWRITE ALIST::KEYQUIV-ASSOC-SUBSTITUTION))
 (1 1 (:REWRITE ALIST::ASSOC-EQUIV-MEMBERP))
 )
(CPATH::PD-EVAL-CONSTRAINT-2
 (5 4 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-3
 (20 2 (:DEFINITION PAIRLIS$))
 (19 15 (:REWRITE DEFAULT-CAR))
 (15 12 (:REWRITE DEFAULT-CDR))
 (11 11 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6 2 (:REWRITE EV-LST-COMMUTES-CDR))
 (6 2 (:REWRITE EV-COMMUTES-CAR))
 )
(CPATH::PD-EVAL-CONSTRAINT-4
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::PD-EVAL-CONSTRAINT-5
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::PD-EVAL-CONSTRAINT-6
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::PD-EVAL-CONSTRAINT-7
 (5 5 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(CPATH::PD-EVAL-CONSTRAINT-8
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (6 3 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 3 (:TYPE-PRESCRIPTION BOOLEANP))
 (3 3 (:REWRITE CLR-DIFFERENTIAL))
 (3 3 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (3 3 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (3 3 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-9
 (8 7 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-10
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-11
 (42 42 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (42 21 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (42 21 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (21 21 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (21 21 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (21 21 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-12
 (16 11 (:REWRITE DEFAULT-CAR))
 (16 10 (:REWRITE DEFAULT-CDR))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-13
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (11 9 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (3 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (3 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (2 2 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-14
 (35 35 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (35 35 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (14 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (11 9 (:REWRITE DEFAULT-CAR))
 (9 9 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (8 6 (:REWRITE DEFAULT-CDR))
 (8 2 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (6 2 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (5 2 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (3 2 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (2 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (2 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (2 2 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2 2 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2 2 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (2 2 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1 1 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-15
 (47 3 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (29 29 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (29 29 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (27 2 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (24 3 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (19 2 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP-NIL))
 (19 2 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP))
 (11 9 (:REWRITE DEFAULT-CAR))
 (9 3 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (8 8 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (8 8 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (8 8 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (8 8 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (8 2 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (6 2 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (6 2 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (4 3 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (4 3 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (3 3 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (3 3 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (3 3 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (3 3 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (3 2 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (2 2 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (2 2 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (2 2 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (2 2 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (2 2 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (2 2 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (2 2 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (2 2 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-16
 (97 2 (:REWRITE CPATH::NOT-ALL-DIVERGE-FROM-ALL-WHEN-NOT-DIVERGES-FROM-ALL-OF-CAR-TWO))
 (97 2 (:REWRITE CPATH::NOT-ALL-DIVERGE-FROM-ALL-WHEN-NOT-DIVERGES-FROM-ALL-OF-CAR))
 (40 2 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP))
 (40 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (36 2 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP-NIL))
 (36 2 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (21 21 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-FROM-ALL-TYPE-2))
 (21 21 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-FROM-ALL-TYPE-1))
 (16 16 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (16 16 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (16 16 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (16 4 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (15 11 (:REWRITE DEFAULT-CAR))
 (12 4 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (12 4 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (6 5 (:REWRITE DEFAULT-CDR))
 (6 4 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (6 4 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (6 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (4 4 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (4 4 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (4 4 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (4 4 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (4 4 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (4 4 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (4 4 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (4 4 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (4 4 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (4 2 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (4 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (4 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (3 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-OF-NON-CONSP-ONE))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (2 2 (:TYPE-PRESCRIPTION LIST::DISJOINT))
 (2 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (2 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (2 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (2 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-UNIQUE-SUBBAGPS-AND-ALL-DIVERGE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-SUBBAG-TWO))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-SUBBAG-ONE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-BAD-MEMBER-TWO))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-BAD-MEMBER-ONE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-FROM-ALL-DIVERGE-FROM-ALL-ETC-ALT))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-FROM-ALL-DIVERGE-FROM-ALL-ETC))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-ALTERNATE-DEFINITION))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE-FROM-ALL))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-17
 (21 21 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (19 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (8 7 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (3 3 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 2 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (3 1 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (3 1 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (2 2 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (1 1 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1 1 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-18
 (115 2 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (101 5 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (95 2 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (64 2 (:DEFINITION TRUE-LISTP))
 (40 2 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (20 20 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (18 16 (:REWRITE DEFAULT-CDR))
 (17 17 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (15 13 (:REWRITE DEFAULT-CAR))
 (14 7 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (13 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (11 11 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 5 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (7 7 (:TYPE-PRESCRIPTION BOOLEANP))
 (7 7 (:REWRITE CLR-DIFFERENTIAL))
 (7 7 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7 7 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7 7 (:META CONS-EQUAL-SMART-META))
 (4 1 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (4 1 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (3 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (3 1 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (2 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (2 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (2 2 (:TYPE-PRESCRIPTION LEN))
 (2 2 (:REWRITE LIST::OPEN-EQUIV))
 (2 2 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (2 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1 1 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1 1 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (1 1 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1 1 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (1 1 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 )
(CPATH::PD-EVAL-CONSTRAINT-19
 (8 7 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-20
 (8 7 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-21
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-22
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-23
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-24
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6 5 (:REWRITE DEFAULT-CDR))
 (3 2 (:REWRITE BAG::PERM-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE BAG::PERM-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE BAG::MY-PERM-COMMON-ELIMINATION))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-25
 (30 2 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (18 1 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (8 7 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (3 3 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 1 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (3 1 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (2 2 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (2 2 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (2 2 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (2 2 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (2 2 (:REWRITE BAG::NON-SIMULAR-COUNT-IMPLIES-NOT-UNIQUE))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2 1 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (1 1 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (1 1 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-26
 (16 11 (:REWRITE DEFAULT-CAR))
 (16 10 (:REWRITE DEFAULT-CDR))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-27
 (8 7 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-28
 (148 8 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (138 3 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (112 3 (:DEFINITION TRUE-LISTP))
 (25 25 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (20 10 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (17 17 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (15 8 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (14 13 (:REWRITE DEFAULT-CAR))
 (10 10 (:TYPE-PRESCRIPTION BOOLEANP))
 (10 10 (:REWRITE CLR-DIFFERENTIAL))
 (10 10 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (10 10 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (10 10 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (10 10 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (10 10 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-29
 (42 42 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (42 21 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (42 21 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (21 21 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (21 21 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (21 21 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-30
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-31
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:META BAG::*META*-SYNTAX-EV-SYNTAX-SUBBAGP))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-32
 (14 2 (:REWRITE BAG::SUBBAGP-MEANS-REMOVE-BAG-IS-NIL))
 (11 9 (:REWRITE DEFAULT-CAR))
 (8 6 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4 1 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (3 2 (:REWRITE BAG::REMOVE-BAG-NOT-CONSP-X))
 (2 2 (:REWRITE BAG::REMOVE-BAG-OF-NON-CONSP-CHEAP))
 (2 2 (:REWRITE BAG::REMOVE-1-IMPLIES-REMOVE-BAG-SINGLETON))
 (2 1 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (1 1 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-ONE-CHEAP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (1 1 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-33
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-34
 (24 2 (:REWRITE BAG::NON-MEMBERSHIP-REMOVE-1))
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 1 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (3 1 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (2 2 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (1 1 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (1 1 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (1 1 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (1 1 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (1 1 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (1 1 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1 1 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-35
 (14 11 (:REWRITE DEFAULT-CAR))
 (12 10 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 2 (:REWRITE CPATH::UNIQUE-MEMBERPS-OF-NON-CONSP))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERPS-AND-SUBBAGP-ALT))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERPS-AND-SUBBAGP))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP-THREE))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP-FOUR))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP-ALT))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP))
 (2 2 (:META BAG::META-RULE-TO-SHOW-UNIQUE-MEMBERPS))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-36
 (14 11 (:REWRITE DEFAULT-CAR))
 (12 10 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE BAG::UNIQUE-SUBBAGPS-FROM-UNIQUE-SUBBAGPS-AND-SUBBAGP-2-BLAH))
 (2 2 (:REWRITE BAG::UNIQUE-SUBBAGPS-FROM-UNIQUE-SUBBAGPS-AND-SUBBAGP-2-ALT-BLAH))
 (2 2 (:REWRITE BAG::UNIQUE-SUBBAGPS-FROM-UNIQUE-SUBBAGPS-AND-SUBBAGP-2-ALT))
 (2 2 (:REWRITE BAG::UNIQUE-SUBBAGPS-FROM-UNIQUE-SUBBAGPS-AND-SUBBAGP-2))
 (2 2 (:META BAG::*META*-SYNTAX-EV-SYNTAX-UNIQUE-SUBBAGPS))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-37
 (20 17 (:REWRITE DEFAULT-CDR))
 (17 13 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:META BAG::*META*-SYNTAX-EV-SUBBAGP-PAIR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-38
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-39
 (100 2 (:DEFINITION BAG::ANY-SUBBAGP))
 (58 2 (:REWRITE CPATH::NOT-SUBBAGP-WHEN-BLAH))
 (36 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (13 11 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12 9 (:REWRITE DEFAULT-CDR))
 (10 10 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (10 10 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (8 2 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (6 2 (:REWRITE BAG::SUBBAGP-NIL-WHEN-NOT-MEMBERP-CAR-CHEAP))
 (6 2 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (6 2 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (4 4 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (4 4 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (4 2 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (4 2 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (2 2 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (2 2 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (2 2 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (2 2 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-ONE-CHEAP))
 (2 2 (:REWRITE BAG::SUBBAGP-NIL-FROM-<-OF-COUNTS))
 (2 2 (:REWRITE CPATH::SUBBAGP-FALSE-FROM-WITNESS-2-ALT))
 (2 2 (:REWRITE CPATH::SUBBAGP-FALSE-FROM-WITNESS-2))
 (2 2 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (2 2 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (2 2 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (2 2 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (2 2 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (2 2 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (2 2 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (2 2 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-40
 (115 2 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (101 5 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (95 2 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (64 2 (:DEFINITION TRUE-LISTP))
 (17 17 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (14 7 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12 12 (:REWRITE DEFAULT-CDR))
 (12 11 (:REWRITE DEFAULT-CAR))
 (11 11 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 5 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (7 7 (:TYPE-PRESCRIPTION BOOLEANP))
 (7 7 (:REWRITE CLR-DIFFERENTIAL))
 (7 7 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7 7 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7 7 (:META CONS-EQUAL-SMART-META))
 (3 2 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 )
(CPATH::PD-EVAL-CONSTRAINT-41
 (115 2 (:REWRITE LIST::TRUE-LISTP-FIX))
 (101 5 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (95 2 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (64 2 (:DEFINITION TRUE-LISTP))
 (17 17 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (14 7 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12 12 (:REWRITE DEFAULT-CDR))
 (12 11 (:REWRITE DEFAULT-CAR))
 (11 11 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 5 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (7 7 (:TYPE-PRESCRIPTION BOOLEANP))
 (7 7 (:REWRITE CLR-DIFFERENTIAL))
 (7 7 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7 7 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7 7 (:META CONS-EQUAL-SMART-META))
 (3 2 (:REWRITE LIST::FIX-OF-NON-CONSP))
 )
(CPATH::PD-EVAL-CONSTRAINT-42
 (30 2 (:REWRITE CPATH::NOT-SUBBAGP-WHEN-BLAH))
 (18 1 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (11 9 (:REWRITE DEFAULT-CAR))
 (8 6 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6 6 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (6 2 (:REWRITE BAG::SUBBAGP-NIL-WHEN-NOT-MEMBERP-CAR-CHEAP))
 (5 2 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (4 2 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (3 1 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (3 1 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (2 2 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (2 2 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (2 2 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-ONE-CHEAP))
 (2 2 (:REWRITE BAG::SUBBAGP-NIL-FROM-<-OF-COUNTS))
 (2 2 (:REWRITE CPATH::SUBBAGP-FALSE-FROM-WITNESS-2-ALT))
 (2 2 (:REWRITE CPATH::SUBBAGP-FALSE-FROM-WITNESS-2))
 (2 2 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (2 2 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2 1 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (1 1 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (1 1 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-43
 (55 55 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (6 2 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (6 2 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (2 2 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (2 2 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (2 2 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (2 2 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (2 2 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (2 2 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (2 2 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (2 2 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-44
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-CONSTRAINT-45
 (354 2 (:DEFINITION LIST::DISJOINT-REMOVE-DEFINITION))
 (178 2 (:DEFINITION REMOVE-EQUAL))
 (166 4 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-REMOVE))
 (98 4 (:REWRITE LIST::REMOVE-REDUCTON))
 (72 4 (:REWRITE BAG::UNIQUE-MEANS-CAR-NOT-MEMBERP-OF-CDR))
 (56 2 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (42 42 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (42 42 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (36 12 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (36 12 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (36 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (20 10 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (17 15 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (13 4 (:REWRITE LIST::NOT-CONSP-DISJOINT))
 (13 4 (:REWRITE BAG::DISJOINT-OF-NON-CONSP-ONE))
 (12 12 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (12 12 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (12 12 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (12 12 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (12 12 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (12 12 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (12 12 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (12 12 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (10 10 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (10 10 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (10 10 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (10 10 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (8 7 (:REWRITE DEFAULT-CDR))
 (7 4 (:REWRITE BAG::DISJOINT-OF-NON-CONSP-TWO))
 (6 6 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (4 4 (:TYPE-PRESCRIPTION BAG::UNIQUE))
 (4 4 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (4 4 (:REWRITE LIST::MEMBERP-CAR))
 (4 4 (:REWRITE BAG::DISJOINT-OTHER-MEMBERP))
 (4 4 (:REWRITE BAG::DISJOINT-FROM-COMMON-UNIQUENSS))
 (4 4 (:REWRITE LIST::DISJOINT-BY-MULTIPLICITY))
 (4 4 (:META BAG::META-RULE-TO-SHOW-DISJOINT))
 (2 2 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (2 2 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (2 2 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (2 2 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (2 2 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::PD-EVAL-SYNTAX-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS
 (248 4 (:REWRITE ALIST::ASSOC-NON-MEMBERP))
 (204 145 (:REWRITE DEFAULT-CAR))
 (174 87 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (154 2 (:DEFINITION ASSOC-EQUAL))
 (136 4 (:DEFINITION ALIST::KEYS))
 (104 8 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (87 87 (:TYPE-PRESCRIPTION BOOLEANP))
 (87 87 (:REWRITE CLR-DIFFERENTIAL))
 (87 87 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (87 87 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (87 87 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (87 87 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (87 87 (:META CONS-EQUAL-SMART-META))
 (78 64 (:REWRITE DEFAULT-CDR))
 (62 62 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-45))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-44))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-43))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-42))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-41))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-40))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-39))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-38))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-37))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-36))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-35))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-34))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-33))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-32))
 (57 35 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-31))
 (55 33 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-28))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-9))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-25))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-24))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-23))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-22))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-21))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-20))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-19))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-18))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-17))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-16))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-15))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-14))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-13))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-12))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-11))
 (53 31 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-10))
 (40 40 (:REWRITE CAR-CONS))
 (38 38 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (38 19 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (38 19 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (32 8 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (32 8 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (19 19 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (19 19 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (19 19 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (16 2 (:DEFINITION PAIRLIS$))
 (10 2 (:DEFINITION KWOTE-LST))
 (9 6 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-4))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (8 8 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (8 8 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (8 8 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (8 8 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (8 8 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (8 4 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (4 4 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (4 4 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (2 2 (:REWRITE ALIST::KEYQUIV-ASSOC-SUBSTITUTION))
 (2 2 (:REWRITE ALIST::ASSOC-EQUIV-MEMBERP))
 (2 2 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (2 2 (:DEFINITION KWOTE))
 )
(CPATH::PD-EVAL-SHOW-NOT-EQUAL-FROM-TYPE-ALIST-WORKS-RIGHT
 (378 276 (:REWRITE DEFAULT-CAR))
 (354 2 (:DEFINITION LIST::DISJOINT-REMOVE-DEFINITION))
 (350 18 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (328 7 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (284 245 (:REWRITE DEFAULT-CDR))
 (262 131 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (248 4 (:REWRITE ALIST::ASSOC-NON-MEMBERP))
 (240 7 (:DEFINITION TRUE-LISTP))
 (211 211 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (178 2 (:DEFINITION REMOVE-EQUAL))
 (166 4 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-REMOVE))
 (154 2 (:DEFINITION ASSOC-EQUAL))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-9))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-18))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-17))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-16))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-15))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-14))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-13))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-12))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-11))
 (139 117 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-10))
 (136 4 (:DEFINITION ALIST::KEYS))
 (131 131 (:TYPE-PRESCRIPTION BOOLEANP))
 (131 131 (:REWRITE CLR-DIFFERENTIAL))
 (131 131 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (131 131 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (131 131 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (131 131 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (131 131 (:META CONS-EQUAL-SMART-META))
 (115 2 (:REWRITE LIST::TRUE-LISTP-FIX))
 (115 2 (:REWRITE LIST::FINALCDR-WHEN-TRUE-LISTP))
 (108 6 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (104 8 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (100 2 (:DEFINITION BAG::ANY-SUBBAGP))
 (98 4 (:REWRITE LIST::REMOVE-REDUCTON))
 (89 27 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (89 27 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (88 4 (:REWRITE CPATH::NOT-SUBBAGP-WHEN-BLAH))
 (86 4 (:REWRITE CPATH::UNIQUE-WHEN-ALL-DIVERGE))
 (72 4 (:REWRITE BAG::UNIQUE-MEANS-CAR-NOT-MEMBERP-OF-CDR))
 (59 59 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (40 40 (:REWRITE CAR-CONS))
 (38 19 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (38 19 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (35 18 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (27 27 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (27 27 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (27 27 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (27 27 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (25 25 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (25 25 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (25 25 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (24 2 (:REWRITE BAG::NON-MEMBERSHIP-REMOVE-1))
 (20 10 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (19 19 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (19 19 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (19 19 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (17 17 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (17 17 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (17 17 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (17 17 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (17 13 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (17 5 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (16 2 (:DEFINITION PAIRLIS$))
 (14 2 (:REWRITE BAG::SUBBAGP-MEANS-REMOVE-BAG-IS-NIL))
 (13 4 (:REWRITE LIST::NOT-CONSP-DISJOINT))
 (13 4 (:REWRITE BAG::DISJOINT-OF-NON-CONSP-ONE))
 (12 12 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (12 12 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE))
 (12 4 (:REWRITE BAG::SUBBAGP-NIL-WHEN-NOT-MEMBERP-CAR-CHEAP))
 (10 6 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (10 5 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (10 2 (:DEFINITION KWOTE-LST))
 (9 6 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-4))
 (7 4 (:REWRITE BAG::DISJOINT-OF-NON-CONSP-TWO))
 (6 6 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (6 6 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (6 6 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (6 6 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (5 5 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (5 5 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-ONE-CHEAP))
 (5 5 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (5 5 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (4 4 (:REWRITE BAG::UNIQUE-OF-NON-CONSP-CHEAP))
 (4 4 (:REWRITE BAG::SUBBAGP-UNIQUENESS))
 (4 4 (:REWRITE BAG::SUBBAGP-NIL-FROM-<-OF-COUNTS))
 (4 4 (:REWRITE CPATH::SUBBAGP-FALSE-FROM-WITNESS-2-ALT))
 (4 4 (:REWRITE CPATH::SUBBAGP-FALSE-FROM-WITNESS-2))
 (4 4 (:REWRITE BAG::SHOW-NOT-UNIQUE-1))
 (4 4 (:REWRITE LIST::MEMBERP-CAR))
 (4 4 (:REWRITE BAG::DISJOINT-OTHER-MEMBERP))
 (4 4 (:REWRITE BAG::DISJOINT-FROM-COMMON-UNIQUENSS))
 (4 4 (:REWRITE LIST::DISJOINT-BY-MULTIPLICITY))
 (4 4 (:META BAG::META-RULE-TO-SHOW-UNIQUE))
 (4 4 (:META BAG::META-RULE-TO-SHOW-DISJOINT))
 (3 2 (:REWRITE CPATH::UNIQUE-MEMBERPS-OF-NON-CONSP))
 (3 2 (:REWRITE BAG::REMOVE-BAG-NOT-CONSP-X))
 (3 2 (:REWRITE BAG::PERM-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE BAG::PERM-OF-NON-CONSP-ONE))
 (3 2 (:REWRITE LIST::FIX-OF-NON-CONSP))
 (3 2 (:REWRITE LIST::FINALCDR-WHEN-NON-CONSP))
 (2 2 (:REWRITE BAG::UNIQUE-SUBBAGPS-FROM-UNIQUE-SUBBAGPS-AND-SUBBAGP-2-BLAH))
 (2 2 (:REWRITE BAG::UNIQUE-SUBBAGPS-FROM-UNIQUE-SUBBAGPS-AND-SUBBAGP-2-ALT-BLAH))
 (2 2 (:REWRITE BAG::UNIQUE-SUBBAGPS-FROM-UNIQUE-SUBBAGPS-AND-SUBBAGP-2-ALT))
 (2 2 (:REWRITE BAG::UNIQUE-SUBBAGPS-FROM-UNIQUE-SUBBAGPS-AND-SUBBAGP-2))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERPS-AND-SUBBAGP-ALT))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERPS-AND-SUBBAGP))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP-THREE))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP-FOUR))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP-ALT))
 (2 2 (:REWRITE BAG::UNIQUE-MEMBERPS-WHEN-UNIQUE-MEMBERP-AND-SUBBAGP-AND-MEMBERP))
 (2 2 (:REWRITE BAG::REMOVE-BAG-OF-NON-CONSP-CHEAP))
 (2 2 (:REWRITE BAG::REMOVE-1-OF-NON-CONSP-CHEAP))
 (2 2 (:REWRITE BAG::REMOVE-1-IMPLIES-REMOVE-BAG-SINGLETON))
 (2 2 (:REWRITE BAG::NON-SIMULAR-COUNT-IMPLIES-NOT-UNIQUE))
 (2 2 (:REWRITE BAG::MY-PERM-COMMON-ELIMINATION))
 (2 2 (:REWRITE ALIST::KEYQUIV-ASSOC-SUBSTITUTION))
 (2 2 (:REWRITE ALIST::ASSOC-EQUIV-MEMBERP))
 (2 2 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (2 2 (:META BAG::META-RULE-TO-SHOW-UNIQUE-MEMBERPS))
 (2 2 (:META BAG::*META*-SYNTAX-EV-SYNTAX-UNIQUE-SUBBAGPS))
 (2 2 (:META BAG::*META*-SYNTAX-EV-SYNTAX-SUBBAGP))
 (2 2 (:META BAG::*META*-SYNTAX-EV-SUBBAGP-PAIR))
 (2 2 (:DEFINITION KWOTE))
 )
(CPATH::SHOW-PREFIX-DIVERGE-FROM-TYPE-ALIST-WORKS
 (1292 1292 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1292 1292 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (835 835 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (835 835 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (707 538 (:REWRITE DEFAULT-CAR))
 (549 549 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (520 435 (:REWRITE DEFAULT-CDR))
 (290 5 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (260 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (256 128 (:REWRITE DEFAULT-+-2))
 (240 5 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (234 176 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (148 74 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (128 128 (:REWRITE DEFAULT-+-1))
 (108 6 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-45))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-44))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-43))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-42))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-41))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-40))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-39))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-38))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-37))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-36))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-35))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-34))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-33))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-32))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-31))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-30))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-29))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-28))
 (92 75 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-27))
 (80 71 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-25))
 (80 71 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-24))
 (80 71 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-23))
 (80 71 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-22))
 (80 71 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-21))
 (80 71 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-20))
 (80 71 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-19))
 (80 71 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-18))
 (74 74 (:TYPE-PRESCRIPTION BOOLEANP))
 (74 74 (:REWRITE CLR-DIFFERENTIAL))
 (74 74 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (74 74 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (74 74 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (74 74 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (74 74 (:META CONS-EQUAL-SMART-META))
 (74 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-9))
 (74 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-8))
 (74 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-16))
 (74 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-15))
 (74 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-14))
 (74 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-13))
 (74 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-12))
 (74 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-11))
 (74 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-10))
 (66 65 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-3))
 (59 59 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-1))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (26 26 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (26 26 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (26 26 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (24 24 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (24 24 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (18 18 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (18 9 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (18 9 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (18 9 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (18 6 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (18 6 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (15 5 (:REWRITE UNICITY-OF-0))
 (12 6 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (10 5 (:DEFINITION FIX))
 (9 9 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (9 9 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (9 9 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (9 9 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (9 9 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (9 9 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (6 6 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (6 6 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (6 6 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (6 6 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (6 6 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (6 6 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (6 6 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (6 6 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (6 6 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (6 6 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (6 6 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 )
(CPATH::PD-EVAL-SYNTAX-DIVERGE-IMPLIES-EVAL-COMMUTE
 (2 2 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 )
(SYN::SINGLETON)
(SYN::SINGLE-CAR
 (28 28 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (24 12 (:REWRITE DEFAULT-CAR))
 (21 15 (:REWRITE DEFAULT-CDR))
 (12 6 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP))
 (6 6 (:REWRITE CLR-DIFFERENTIAL))
 (6 6 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (6 6 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (6 6 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (6 6 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (6 6 (:META CONS-EQUAL-SMART-META))
 (2 2 (:REWRITE LIST::EQUAL-CONS-CASES))
 )
(CPATH::PSEUDO-TERMP-SINGLE-CAR
 (751 2 (:DEFINITION PSEUDO-TERMP))
 (307 16 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (287 6 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (242 6 (:DEFINITION TRUE-LISTP))
 (145 4 (:REWRITE CPATH::TRUE-LISTP-CAR-TRUE-LISTP-LIST))
 (139 2 (:DEFINITION CPATH::TRUE-LISTP-LIST))
 (89 89 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (87 73 (:REWRITE DEFAULT-CDR))
 (70 6 (:DEFINITION LEN))
 (54 44 (:REWRITE DEFAULT-CAR))
 (54 27 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (52 4 (:REWRITE SYN::PSEUDO-TERM-LISTP-OF-CAR))
 (50 50 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (46 12 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (42 6 (:REWRITE SYN::PSEUDO-TERM-LISTP-OF-CDR))
 (38 6 (:REWRITE SYN::PSEUDO-TERM-LISTP-FROM-PSEUDO-TERMP))
 (32 16 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (27 27 (:REWRITE CLR-DIFFERENTIAL))
 (27 27 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (27 27 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (27 27 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (27 27 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (27 27 (:META CONS-EQUAL-SMART-META))
 (26 2 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED-2))
 (26 2 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED))
 (24 24 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (23 23 (:TYPE-PRESCRIPTION BOOLEANP))
 (22 22 (:TYPE-PRESCRIPTION PSEUDO-TERM-LISTP))
 (22 12 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (12 12 (:TYPE-PRESCRIPTION CPATH::TRUE-LISTP-LIST))
 (12 12 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (12 12 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (12 6 (:REWRITE DEFAULT-+-2))
 (10 2 (:REWRITE SYN::PSEUDO-TERMP-OF-CADR))
 (8 8 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (8 8 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (8 4 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (8 2 (:DEFINITION SYMBOL-LISTP))
 (6 6 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (4 4 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (3 1 (:DEFINITION SYN::LEN))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 )
(CPATH::SHOW-PREFIX-DIVERGE-FROM-ALIST-BODY-FN)
(CPATH::SHOW-PREFIX-DIVERGE-FROM-ALIST-BODY-IRRELEVANT
 (1960 2 (:DEFINITION CPATH::SYNTAX-DIVERGE))
 (1472 8 (:DEFINITION CPATH::SYNTAX-QUOTE-DIVERGE))
 (802 32 (:REWRITE CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-QUOTE-TRUE))
 (496 4 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (376 24 (:DEFINITION SYN::QUOTEP))
 (268 268 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (248 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (244 152 (:REWRITE DEFAULT-CDR))
 (212 110 (:REWRITE DEFAULT-CAR))
 (196 28 (:DEFINITION SYN::CDR))
 (184 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (180 12 (:DEFINITION SYN::CONSP))
 (176 8 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (138 42 (:DEFINITION SYN::LEN))
 (116 62 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (100 20 (:DEFINITION SYN::DEQUOTE))
 (92 92 (:TYPE-PRESCRIPTION SYN::LEN))
 (82 10 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (72 72 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DIVERGE))
 (72 6 (:DEFINITION SYN::APPENDP))
 (64 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (64 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (62 62 (:REWRITE CLR-DIFFERENTIAL))
 (62 62 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (62 62 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (62 62 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (62 62 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (62 62 (:META CONS-EQUAL-SMART-META))
 (60 12 (:DEFINITION SYN::CAR))
 (54 54 (:TYPE-PRESCRIPTION BOOLEANP))
 (48 48 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (48 48 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (48 48 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (24 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (24 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (24 2 (:DEFINITION LEN))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (16 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (16 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (16 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (16 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (16 4 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (8 4 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (6 2 (:REWRITE BAG::USB16-IMPLIES-USB16-FIX-IDENTITY))
 (4 4 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (4 4 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (4 4 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (4 4 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (4 4 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (4 4 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (4 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:TYPE-PRESCRIPTION LEN))
 (2 2 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (2 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(CPATH::HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST-BODY-FN)
(CPATH::HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST-BODY-IRRELEVANT
 (1960 2 (:DEFINITION CPATH::SYNTAX-DIVERGE))
 (1472 8 (:DEFINITION CPATH::SYNTAX-QUOTE-DIVERGE))
 (802 32 (:REWRITE CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-QUOTE-TRUE))
 (496 4 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (376 24 (:DEFINITION SYN::QUOTEP))
 (282 282 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (254 158 (:REWRITE DEFAULT-CDR))
 (248 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (212 110 (:REWRITE DEFAULT-CAR))
 (196 28 (:DEFINITION SYN::CDR))
 (184 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (180 12 (:DEFINITION SYN::CONSP))
 (176 8 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (138 42 (:DEFINITION SYN::LEN))
 (116 62 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (100 20 (:DEFINITION SYN::DEQUOTE))
 (92 92 (:TYPE-PRESCRIPTION SYN::LEN))
 (82 10 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (72 72 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DIVERGE))
 (72 6 (:DEFINITION SYN::APPENDP))
 (64 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (64 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (62 62 (:REWRITE CLR-DIFFERENTIAL))
 (62 62 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (62 62 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (62 62 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (62 62 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (62 62 (:META CONS-EQUAL-SMART-META))
 (60 12 (:DEFINITION SYN::CAR))
 (54 54 (:TYPE-PRESCRIPTION BOOLEANP))
 (48 48 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (48 48 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (48 48 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (48 4 (:DEFINITION LEN))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (32 32 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (32 8 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (24 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (24 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (16 16 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (16 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (16 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (16 16 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (16 8 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (16 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (12 4 (:REWRITE BAG::USB16-IMPLIES-USB16-FIX-IDENTITY))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (8 8 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (8 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (8 4 (:REWRITE DEFAULT-+-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (4 4 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (4 4 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (4 4 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (4 4 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (4 4 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (4 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (2 2 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (2 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 )
(CPATH::PSEUDO-TERMP-HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST-BODY
 (23725 130 (:DEFINITION CPATH::SYNTAX-QUOTE-DIVERGE))
 (7936 64 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (5526 5526 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5193 3563 (:REWRITE DEFAULT-CDR))
 (4368 2369 (:REWRITE DEFAULT-CAR))
 (3968 64 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (2944 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (2816 128 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (2116 1123 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1346 164 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1123 1123 (:REWRITE CLR-DIFFERENTIAL))
 (1123 1123 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1123 1123 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1123 1123 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1123 1123 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1123 1123 (:META CONS-EQUAL-SMART-META))
 (1024 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (1024 256 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (993 993 (:TYPE-PRESCRIPTION BOOLEANP))
 (984 276 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (768 768 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (768 768 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (768 768 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (512 512 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (512 512 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (512 512 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (464 276 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (388 194 (:REWRITE DEFAULT-+-2))
 (384 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (384 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (256 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (256 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (256 256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (256 256 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (256 256 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (256 256 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (256 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (250 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (242 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (210 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (194 194 (:REWRITE DEFAULT-+-1))
 (164 164 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (164 164 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (140 140 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (128 128 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (128 128 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (128 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (128 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (128 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (128 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (128 128 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (96 96 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (96 96 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (96 96 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (64 64 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (64 64 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (64 64 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (64 64 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (64 64 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (64 64 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (64 32 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (48 48 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (48 48 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (48 48 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (32 32 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (32 32 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (32 32 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (28 4 (:REWRITE FOLD-CONSTS-IN-+))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 4 (:DEFINITION FIX))
 (6 2 (:REWRITE BAG::USB16-IMPLIES-USB16-FIX-IDENTITY))
 (4 4 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 )
(CPATH::SHOW-PREFIX-DIVERGE-FROM-ALIST-BODY-TO-HYP-FOR
 (2208 12 (:DEFINITION CPATH::SYNTAX-QUOTE-DIVERGE))
 (1203 48 (:REWRITE CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-QUOTE-TRUE))
 (744 6 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (402 402 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (372 6 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (366 228 (:REWRITE DEFAULT-CDR))
 (318 165 (:REWRITE DEFAULT-CAR))
 (276 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (264 12 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (174 93 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (123 15 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (108 108 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DIVERGE))
 (96 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (96 24 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (93 93 (:REWRITE CLR-DIFFERENTIAL))
 (93 93 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (93 93 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (93 93 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (93 93 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (93 93 (:META CONS-EQUAL-SMART-META))
 (81 81 (:TYPE-PRESCRIPTION BOOLEANP))
 (72 72 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (72 72 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (72 72 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (36 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (36 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (36 3 (:DEFINITION LEN))
 (24 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (24 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (24 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (24 24 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (24 24 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (24 24 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (24 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (24 6 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (15 15 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (15 15 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (12 12 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (12 12 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (12 6 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (9 9 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (9 9 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (9 9 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (9 3 (:REWRITE BAG::USB16-IMPLIES-USB16-FIX-IDENTITY))
 (6 6 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (6 6 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (6 6 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (6 6 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (6 6 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (6 6 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (6 6 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (6 3 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (6 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:TYPE-PRESCRIPTION LEN))
 (3 3 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (3 3 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (3 3 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (3 3 (:REWRITE DEFAULT-+-1))
 )
(CPATH::PD-EVAL-DIVERGE-FROM-HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST-BODY
 (14552 14552 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (13342 9557 (:REWRITE DEFAULT-CDR))
 (12412 9619 (:REWRITE DEFAULT-CAR))
 (10858 3016 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (10102 80 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (9918 5011 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (5310 3016 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (5052 86 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (5011 5011 (:REWRITE CLR-DIFFERENTIAL))
 (5011 5011 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (5011 5011 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (5011 5011 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (5011 5011 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (5011 5011 (:META CONS-EQUAL-SMART-META))
 (4829 4829 (:TYPE-PRESCRIPTION BOOLEANP))
 (4456 2228 (:REWRITE DEFAULT-+-2))
 (3960 3960 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (3960 3960 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (3957 3957 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (3957 3957 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (3678 172 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (3660 60 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (3540 60 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (3532 172 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (3060 60 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (2228 2228 (:REWRITE DEFAULT-+-1))
 (2175 257 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-45))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-44))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-43))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-42))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-41))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-40))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-39))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-38))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-37))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-36))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-35))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-34))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-33))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-32))
 (1796 639 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-31))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-9))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-8))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-29))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-28))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-27))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-26))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-25))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-24))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-23))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-22))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-21))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-20))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-19))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-18))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-17))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-16))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-15))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-14))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-13))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-12))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-11))
 (1708 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-10))
 (1280 320 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (1280 320 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (988 172 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (987 111 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (960 960 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (960 960 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (960 960 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (850 66 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (815 551 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-3))
 (756 198 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (664 664 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (664 664 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (664 664 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (560 188 (:REWRITE BAG::USB16-IMPLIES-USB16-FIX-IDENTITY))
 (516 172 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (462 316 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (420 60 (:REWRITE FOLD-CONSTS-IN-+))
 (408 355 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-1))
 (372 372 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (357 111 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (332 320 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (328 320 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (320 320 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (320 320 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (320 320 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (320 320 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (320 320 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (320 320 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (318 172 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (316 316 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (257 257 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (257 257 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (198 66 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (180 60 (:REWRITE UNICITY-OF-0))
 (172 172 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (172 172 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (172 172 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (172 172 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (172 172 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (172 172 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (136 136 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (136 136 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (132 132 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (124 66 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (124 66 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (124 66 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (120 60 (:DEFINITION FIX))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (111 111 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (111 111 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (111 111 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (111 111 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (111 111 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (111 111 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (104 54 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (88 88 (:REWRITE LIST::EQUAL-CONS-CASES))
 (85 54 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (85 54 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (66 66 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (66 66 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (66 66 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (66 66 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (66 66 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (66 66 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (66 66 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (66 66 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (54 54 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (12 12 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 )
(CPATH::SYNTAX-QUOTE-REMOVE-COMMON-PREFIX-PD-EVAL-DIVERGE
 (1540 1540 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (808 6 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (789 642 (:REWRITE DEFAULT-CDR))
 (774 774 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (707 35 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (665 14 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (489 138 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (457 335 (:REWRITE DEFAULT-CAR))
 (448 14 (:DEFINITION TRUE-LISTP))
 (350 350 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (350 350 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (244 2 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (237 138 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (224 8 (:DEFINITION CPATH::REMOVE-COMMON-PREFIX))
 (211 114 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (210 105 (:REWRITE DEFAULT-+-2))
 (189 3 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (183 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (168 17 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (159 3 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (124 2 (:REWRITE CPATH::TRUE-LISTP-CAR-TRUE-LISTP-LIST))
 (121 1 (:DEFINITION CPATH::TRUE-LISTP-LIST))
 (120 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (119 119 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (114 114 (:REWRITE CLR-DIFFERENTIAL))
 (114 114 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (114 114 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (114 114 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (114 114 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (114 114 (:META CONS-EQUAL-SMART-META))
 (105 105 (:REWRITE DEFAULT-+-1))
 (97 97 (:TYPE-PRESCRIPTION BOOLEANP))
 (90 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (88 4 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (76 76 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (70 35 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-45))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-44))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-43))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-42))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-41))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-40))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-39))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-38))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-37))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-36))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-35))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-34))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-33))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-32))
 (59 57 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-31))
 (54 6 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (45 45 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (45 45 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (45 45 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-9))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-8))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-3))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-29))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-28))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-27))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-26))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-25))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-24))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-23))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-22))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-21))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-20))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-19))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-18))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-17))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-16))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-15))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-14))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-13))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-12))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-11))
 (45 43 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-10))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (43 43 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (43 43 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (43 43 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (42 6 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (39 39 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-1))
 (38 38 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (37 37 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (36 18 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (32 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (32 8 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (31 18 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (24 24 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (24 24 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (24 24 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (24 6 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (24 6 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (21 3 (:REWRITE FOLD-CONSTS-IN-+))
 (20 8 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (18 18 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (18 18 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (18 18 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (17 17 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (17 17 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (16 16 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (16 16 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (16 16 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (16 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (12 6 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (12 6 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (12 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (9 3 (:REWRITE UNICITY-OF-0))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (8 8 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (8 8 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (6 6 (:TYPE-PRESCRIPTION CPATH::TRUE-LISTP-LIST))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (6 6 (:REWRITE LIST::OPEN-EQUIV))
 (6 6 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (6 6 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (6 6 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (6 6 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (6 6 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (6 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (6 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (6 3 (:DEFINITION FIX))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (4 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (4 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (4 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (4 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (4 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 )
(CPATH::SYNTAX-REMOVE-COMMON-PREFIX-PD-EVAL-DIVERGE
 (13550 172 (:DEFINITION CPATH::SYNTAX-QUOTE-REMOVE-COMMON-PREFIX))
 (4127 4127 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3788 2945 (:REWRITE DEFAULT-CDR))
 (3770 3686 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (3714 3686 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (3383 2056 (:REWRITE DEFAULT-CAR))
 (3206 2982 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (3009 2981 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (2386 74 (:DEFINITION CPATH::REMOVE-COMMON-PREFIX))
 (2203 213 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1780 957 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1039 1004 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (1018 1004 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (957 957 (:REWRITE CLR-DIFFERENTIAL))
 (957 957 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (957 957 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (957 957 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (957 957 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (957 957 (:META CONS-EQUAL-SMART-META))
 (767 767 (:TYPE-PRESCRIPTION BOOLEANP))
 (464 10 (:REWRITE CPATH::DIVERGE-OF-APPEND-FROM-DIVERGE-ONE))
 (371 224 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-45))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-44))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-43))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-42))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-41))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-40))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-39))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-38))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-37))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-36))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-35))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-34))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-33))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-32))
 (337 331 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-31))
 (328 164 (:REWRITE DEFAULT-+-2))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-9))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-8))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-3))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-28))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-27))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-26))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-25))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-24))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-23))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-22))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-21))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-20))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-19))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-18))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-17))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-16))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-15))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-14))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-13))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-12))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-11))
 (303 297 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-10))
 (295 5 (:REWRITE CPATH::DIVERGE-OF-APPEND-FROM-DIVERGE-TWO))
 (282 282 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (278 2 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (274 137 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (274 137 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (213 213 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (213 213 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (189 189 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (189 189 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (189 189 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (183 183 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (182 182 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (182 182 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (180 180 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (165 164 (:REWRITE DEFAULT-+-1))
 (152 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (149 66 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (149 66 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (142 1 (:REWRITE CPATH::DOMINATES-OF-APPEND-TWO-ONE))
 (137 137 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (137 137 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (137 137 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (122 2 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (118 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (116 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (104 104 (:REWRITE CPATH::SHOW-PREFIX-DIVERGE-FROM-TYPE-ALIST-WORKS))
 (104 104 (:REWRITE CPATH::PD-EVAL-DIVERGE-FROM-HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST-BODY))
 (104 6 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (102 6 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (102 2 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (94 4 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (87 6 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (84 84 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (64 2 (:REWRITE CPATH::DIVERGE-OF-APPEND-AND-APPEND))
 (60 20 (:REWRITE LIST::CONSP-APPEND))
 (46 46 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (46 46 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (46 46 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (45 6 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (37 1 (:REWRITE LIST::LEN-APPEND))
 (32 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (32 8 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (28 28 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (28 28 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (28 28 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (26 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (21 5 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (20 8 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (16 16 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (16 16 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (16 16 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (12 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (11 6 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (10 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (10 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (9 9 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (9 9 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (9 5 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (9 5 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (8 8 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (8 8 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (8 4 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (8 4 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (7 7 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (6 6 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (6 6 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (6 6 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (6 6 (:REWRITE LIST::CDR-APPEND-CONSP))
 (6 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (6 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (6 2 (:REWRITE UNICITY-OF-0))
 (6 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-APPEND-AND-APPEND))
 (5 5 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (5 5 (:REWRITE LIST::OPEN-EQUIV))
 (5 5 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (4 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (4 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (4 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (4 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (4 4 (:REWRITE LIST::CAR-APPEND-CONSP))
 (4 2 (:DEFINITION FIX))
 (4 1 (:REWRITE CPATH::DOMINATES-OF-APPEND-SELF-ONE))
 (3 1 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::PD-EVAL-SHOW-NOT-EQUAL-FROM-TYPE-ALIST-WORKS-RIGHT))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-APPEND-SELF-ONE))
 )
(CPATH::SHOW-PREFIX-DIVERGE-FROM-ALIST-FN)
(CPATH::SHOW-PREFIX-DIVERGE-FROM-ALIST-IRRELEVANT
 (828 2 (:DEFINITION CPATH::SYNTAX-REMOVE-COMMON-PREFIX))
 (440 4 (:DEFINITION CPATH::SYNTAX-QUOTE-REMOVE-COMMON-PREFIX))
 (180 12 (:DEFINITION SYN::QUOTEP))
 (120 8 (:DEFINITION SYN::CONSP))
 (118 118 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (116 64 (:REWRITE DEFAULT-CAR))
 (106 72 (:REWRITE DEFAULT-CDR))
 (96 10 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (94 50 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (78 26 (:DEFINITION SYN::LEN))
 (78 2 (:DEFINITION CPATH::REMOVE-COMMON-PREFIX))
 (72 6 (:DEFINITION SYN::APPENDP))
 (56 8 (:DEFINITION SYN::CDR))
 (50 50 (:REWRITE CLR-DIFFERENTIAL))
 (50 50 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (50 50 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (50 50 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (50 50 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (50 50 (:META CONS-EQUAL-SMART-META))
 (50 10 (:DEFINITION SYN::DEQUOTE))
 (46 46 (:TYPE-PRESCRIPTION SYN::LEN))
 (44 44 (:TYPE-PRESCRIPTION BOOLEANP))
 (40 8 (:DEFINITION SYN::CAR))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (6 6 (:DEFINITION SYN::ENQUOTE))
 )
(CPATH::HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST-FN)
(CPATH::SHOW-PREFIX-DIVERGE-FROM-ALIST-TO-HYP-FOR)
(CPATH::PSEUDO-TERMP-HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST)
(CPATH::HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST-IRRELEVANT
 (828 2 (:DEFINITION CPATH::SYNTAX-REMOVE-COMMON-PREFIX))
 (440 4 (:DEFINITION CPATH::SYNTAX-QUOTE-REMOVE-COMMON-PREFIX))
 (180 12 (:DEFINITION SYN::QUOTEP))
 (120 8 (:DEFINITION SYN::CONSP))
 (118 118 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (116 64 (:REWRITE DEFAULT-CAR))
 (106 72 (:REWRITE DEFAULT-CDR))
 (96 10 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (94 50 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (78 26 (:DEFINITION SYN::LEN))
 (78 2 (:DEFINITION CPATH::REMOVE-COMMON-PREFIX))
 (72 6 (:DEFINITION SYN::APPENDP))
 (56 8 (:DEFINITION SYN::CDR))
 (50 50 (:REWRITE CLR-DIFFERENTIAL))
 (50 50 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (50 50 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (50 50 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (50 50 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (50 50 (:META CONS-EQUAL-SMART-META))
 (50 10 (:DEFINITION SYN::DEQUOTE))
 (46 46 (:TYPE-PRESCRIPTION SYN::LEN))
 (44 44 (:TYPE-PRESCRIPTION BOOLEANP))
 (40 8 (:DEFINITION SYN::CAR))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (10 10 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (6 6 (:DEFINITION SYN::ENQUOTE))
 )
(CPATH::PD-EVAL-DIVERGE-FROM-HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST
 (1656 4 (:DEFINITION CPATH::SYNTAX-REMOVE-COMMON-PREFIX))
 (880 8 (:DEFINITION CPATH::SYNTAX-QUOTE-REMOVE-COMMON-PREFIX))
 (360 24 (:DEFINITION SYN::QUOTEP))
 (240 16 (:DEFINITION SYN::CONSP))
 (236 236 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (232 128 (:REWRITE DEFAULT-CAR))
 (212 144 (:REWRITE DEFAULT-CDR))
 (192 20 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (188 100 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (156 52 (:DEFINITION SYN::LEN))
 (156 4 (:DEFINITION CPATH::REMOVE-COMMON-PREFIX))
 (144 12 (:DEFINITION SYN::APPENDP))
 (114 114 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (114 114 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (112 16 (:DEFINITION SYN::CDR))
 (100 100 (:REWRITE CLR-DIFFERENTIAL))
 (100 100 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (100 100 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (100 100 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (100 100 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (100 100 (:META CONS-EQUAL-SMART-META))
 (100 20 (:DEFINITION SYN::DEQUOTE))
 (92 92 (:TYPE-PRESCRIPTION SYN::LEN))
 (88 88 (:TYPE-PRESCRIPTION BOOLEANP))
 (80 16 (:DEFINITION SYN::CAR))
 (47 47 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (47 47 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (20 20 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (20 20 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (12 12 (:DEFINITION SYN::ENQUOTE))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-9))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-8))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-45))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-44))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-43))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-42))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-41))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-40))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-39))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-38))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-37))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-36))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-35))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-34))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-33))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-32))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-31))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-30))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-3))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-29))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-28))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-27))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-26))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-25))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-24))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-23))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-22))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-21))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-20))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-2))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-19))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-18))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-17))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-16))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-15))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-14))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-13))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-12))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-11))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-10))
 (5 5 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-1))
 )
(CPATH::SHOW-PREFIX-DIVERGE-FROM-MFC
 (21 6 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (16 1 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (16 1 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (13 13 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (13 10 (:REWRITE DEFAULT-CDR))
 (9 6 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (6 3 (:REWRITE DEFAULT-+-2))
 (6 2 (:REWRITE STATE-P-IMPLIES-AND-FORWARD-TO-STATE-P1))
 (3 3 (:REWRITE DEFAULT-+-1))
 (3 1 (:DEFINITION SYN::LEN))
 (2 2 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (2 2 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (2 2 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-MFC
 (21 6 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (16 1 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (16 1 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (13 13 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (13 10 (:REWRITE DEFAULT-CDR))
 (9 6 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (6 3 (:REWRITE DEFAULT-+-2))
 (6 2 (:REWRITE STATE-P-IMPLIES-AND-FORWARD-TO-STATE-P1))
 (3 3 (:REWRITE DEFAULT-+-1))
 (3 1 (:DEFINITION SYN::LEN))
 (2 2 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (2 2 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (2 2 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (2 2 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-RULE-TO-SHOW-PREFIX-DIVERGE
 (3149 5 (:REWRITE CPATH::PD-EVAL-SYNTAX-DIVERGE-IMPLIES-EVAL-COMMUTE))
 (3138 3 (:DEFINITION CPATH::SYNTAX-DIVERGE))
 (2250 12 (:DEFINITION CPATH::SYNTAX-QUOTE-DIVERGE))
 (1203 48 (:REWRITE CPATH::SYNTAX-QUOTE-DIVERGE-IMPLIES-QUOTE-TRUE))
 (812 633 (:REWRITE DEFAULT-CDR))
 (744 6 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (627 627 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (590 263 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (588 36 (:DEFINITION SYN::QUOTEP))
 (372 6 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (294 42 (:DEFINITION SYN::CDR))
 (276 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (272 136 (:REWRITE DEFAULT-+-2))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (270 270 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (270 18 (:DEFINITION SYN::CONSP))
 (264 12 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (263 263 (:REWRITE CLR-DIFFERENTIAL))
 (263 263 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (263 263 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (263 263 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (263 263 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (263 263 (:META CONS-EQUAL-SMART-META))
 (246 246 (:TYPE-PRESCRIPTION BOOLEANP))
 (224 7 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (224 4 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (206 162 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (200 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (184 4 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (150 30 (:DEFINITION SYN::DEQUOTE))
 (147 7 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (144 144 (:TYPE-PRESCRIPTION CPATH::SYNTAX-QUOTE-DIVERGE))
 (144 144 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (144 144 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (141 9 (:DEFINITION SYN::APPENDP))
 (136 136 (:REWRITE DEFAULT-+-1))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-45))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-44))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-43))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-42))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-41))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-40))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-39))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-38))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-37))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-36))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-35))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-34))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-33))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-32))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-31))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-30))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-29))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-28))
 (126 51 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-27))
 (123 123 (:TYPE-PRESCRIPTION SYN::NIL))
 (123 123 (:TYPE-PRESCRIPTION BAG::BIND-EXTRA-VARS-IN-HYP))
 (123 15 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-25))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-24))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-23))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-22))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-21))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-20))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-19))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-18))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-17))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-16))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-15))
 (120 49 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-14))
 (118 47 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-9))
 (118 47 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-8))
 (118 47 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-12))
 (118 47 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-11))
 (118 47 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-10))
 (96 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (96 24 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (90 18 (:DEFINITION SYN::CAR))
 (82 47 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-3))
 (72 72 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (72 72 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (72 72 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (48 48 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (36 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (36 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (33 33 (:TYPE-PRESCRIPTION CPATH::SYNTAX-DIVERGE))
 (24 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (24 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (24 24 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (24 24 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (24 24 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (24 24 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (24 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (22 22 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (22 22 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (22 22 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (21 21 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (21 21 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (21 7 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (21 7 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (15 15 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (15 15 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (14 14 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (14 14 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (14 14 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (14 7 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (13 13 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (13 13 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (13 13 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (12 12 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (12 12 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (12 12 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (12 12 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (12 12 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (12 12 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (12 4 (:REWRITE UNICITY-OF-0))
 (8 5 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (8 5 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (8 4 (:DEFINITION FIX))
 (7 7 (:TYPE-PRESCRIPTION LIST::DISJOINT))
 (7 7 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (7 7 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (7 7 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (7 7 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (7 7 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (7 7 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (7 7 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (7 7 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (7 7 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (6 6 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (5 5 (:REWRITE CPATH::SHOW-PREFIX-DIVERGE-FROM-TYPE-ALIST-WORKS))
 (5 5 (:REWRITE CPATH::PD-EVAL-DIVERGE-FROM-HYP-FOR-SHOW-PREFIX-DIVERGE-FROM-ALIST-BODY))
 (1 1 (:REWRITE CPATH::PD-EVAL-SHOW-NOT-EQUAL-FROM-TYPE-ALIST-WORKS-RIGHT))
 )
(CPATH::TEST1
 (110 110 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (41 41 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (37 1 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (17 1 (:REWRITE LIST::MEMBERP-OF-CONS-IRREL))
 (7 7 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (6 2 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (6 2 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (5 2 (:REWRITE LIST::MEMBERP-OF-CONS-REDUCE-CHEAP))
 (2 2 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (2 2 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (2 2 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (2 2 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 (2 2 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (2 2 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (2 2 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (2 2 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (1 1 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 )
(CPATH::TEST2
 (110 110 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (41 41 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (23 1 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (5 5 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (5 5 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (3 1 (:REWRITE LIST::MEMBERP-OF-CONS-REDUCE-CHEAP))
 (3 1 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (3 1 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (1 1 (:REWRITE CPATH::TEST1))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (1 1 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (1 1 (:REWRITE LIST::MEMBERP-OF-CONS-IRREL))
 (1 1 (:REWRITE LIST::MEMBERP-OF-CONS-CHEAP))
 (1 1 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (1 1 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (1 1 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (1 1 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 )
(CPATH::SHOW-DOMINATION-FROM-MFC)
(CPATH::HYP-FOR-SHOW-DOMINATION-FROM-MFC)
(CPATH::PD-EVAL-SYNTAX-DOMINATION-IMPLIES-DOMINATION
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(CPATH::NON-DOMINATION-FROM-NOT-EQUAL-DOMINATES
 (2400 22 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (2127 29 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (2124 106 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (1996 43 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (1452 30 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1344 42 (:DEFINITION TRUE-LISTP))
 (1269 29 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (1233 22 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (358 358 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (320 320 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (303 286 (:REWRITE DEFAULT-CDR))
 (276 142 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (232 232 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (211 106 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (150 31 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (146 146 (:REWRITE DEFAULT-CAR))
 (142 142 (:REWRITE CLR-DIFFERENTIAL))
 (142 142 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (142 142 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (142 142 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (142 142 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (142 142 (:META CONS-EQUAL-SMART-META))
 (135 32 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (134 134 (:TYPE-PRESCRIPTION BOOLEANP))
 (96 8 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (87 87 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (87 87 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (42 21 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (30 30 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (29 29 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (26 26 (:TYPE-PRESCRIPTION LEN))
 (22 22 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (21 21 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (21 21 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (21 21 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (21 13 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (21 13 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (21 13 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (13 13 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (8 8 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (8 8 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::META-RULE-TO-SHOW-PREFIX-DOMINATION
 (5092 4029 (:REWRITE DEFAULT-CDR))
 (4980 4980 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2725 201 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (1907 166 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1730 35 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (1647 1647 (:REWRITE CLR-DIFFERENTIAL))
 (1647 1647 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1647 1647 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1647 1647 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1647 1647 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1647 1647 (:META CONS-EQUAL-SMART-META))
 (1515 75 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (1471 1471 (:TYPE-PRESCRIPTION BOOLEANP))
 (1425 30 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (1163 1163 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1163 1163 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1020 510 (:REWRITE DEFAULT-+-2))
 (960 30 (:DEFINITION TRUE-LISTP))
 (840 15 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (793 628 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (750 15 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (694 168 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (690 15 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (510 510 (:REWRITE DEFAULT-+-1))
 (477 477 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (477 477 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (467 467 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (467 467 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (420 20 (:REWRITE LIST::MEMBER-EQ-IS-MEMBERP-PROPOSITIONALLY))
 (395 35 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-45))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-44))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-43))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-42))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-41))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-40))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-39))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-38))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-37))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-36))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-35))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-34))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-33))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-32))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-31))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-30))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-29))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-28))
 (306 128 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-27))
 (276 118 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-25))
 (276 118 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-24))
 (276 118 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-23))
 (276 118 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-22))
 (276 118 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-21))
 (276 118 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-20))
 (276 118 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-19))
 (258 112 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-17))
 (258 112 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-16))
 (258 112 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-15))
 (256 110 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-9))
 (256 110 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-8))
 (256 110 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-13))
 (256 110 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-12))
 (256 110 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-11))
 (256 110 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-10))
 (255 255 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (246 246 (:TYPE-PRESCRIPTION BAG::BIND-EXTRA-VARS-IN-HYP))
 (235 154 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (235 154 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (229 148 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (201 201 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (201 201 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (192 110 (:REWRITE CPATH::PD-EVAL-CONSTRAINT-3))
 (166 166 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (166 166 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (166 166 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (165 165 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (154 154 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (152 152 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (152 152 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (152 152 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (152 152 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (150 75 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (134 134 (:REWRITE LIST::CDR-DOES-NOTHING-REWRITE))
 (123 123 (:TYPE-PRESCRIPTION SYN::NIL))
 (118 118 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (118 118 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (118 118 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (60 60 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (60 60 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (60 20 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (60 20 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (51 35 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (48 34 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (45 15 (:REWRITE UNICITY-OF-0))
 (40 40 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (40 40 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (40 40 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (40 20 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (35 35 (:REWRITE LIST::OPEN-EQUIV))
 (35 35 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (32 32 (:REWRITE SYN::IFF-CONJOIN))
 (30 15 (:DEFINITION FIX))
 (20 20 (:TYPE-PRESCRIPTION LIST::DISJOINT))
 (20 20 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (20 20 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (20 20 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (20 20 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (20 20 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (20 20 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (20 20 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (20 20 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (20 20 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::ALL-DIVERGE-REMOVE-PREFIX
 (162 42 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (149 149 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (139 101 (:REWRITE DEFAULT-CDR))
 (136 67 (:REWRITE DEFAULT-+-2))
 (78 67 (:REWRITE DEFAULT-+-1))
 (78 42 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (63 3 (:DEFINITION LENGTH))
 (24 6 (:REWRITE COMMUTATIVITY-OF-+))
 (24 6 (:DEFINITION INTEGER-ABS))
 (16 13 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE FOLD-CONSTS-IN-+))
 (8 7 (:REWRITE DEFAULT-<-2))
 (8 7 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (4 4 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (4 4 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (3 3 (:REWRITE DEFAULT-REALPART))
 (3 3 (:REWRITE DEFAULT-NUMERATOR))
 (3 3 (:REWRITE DEFAULT-IMAGPART))
 (3 3 (:REWRITE DEFAULT-DENOMINATOR))
 (3 3 (:REWRITE DEFAULT-COERCE-2))
 (3 3 (:REWRITE DEFAULT-COERCE-1))
 (3 1 (:DEFINITION SYN::LEN))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-REMOVE-PREFIX))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 (1 1 (:LINEAR ACL2-COUNT-WHEN-CONSP-LINEAR))
 (1 1 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 )
(CPATH::ALL-DIVERGE-REMOVE-PREFIX-OPEN
 (100 68 (:REWRITE DEFAULT-CDR))
 (94 94 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (69 18 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (36 19 (:REWRITE DEFAULT-CAR))
 (33 18 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (30 15 (:REWRITE DEFAULT-+-2))
 (15 15 (:REWRITE DEFAULT-+-1))
 (6 3 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (3 3 (:TYPE-PRESCRIPTION BOOLEANP))
 (3 3 (:REWRITE CLR-DIFFERENTIAL))
 (3 3 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (3 3 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (3 3 (:META CONS-EQUAL-SMART-META))
 (2 2 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (2 2 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (2 2 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 )
(CPATH::ALL-DIVERGE-PREFIX-META-FN
 (6 6 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-REMOVE-PREFIX))
 (1 1 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-PREFIX-META-FN))
 )
(CPATH::NOT-SYN-CONSP-ALL-DIVERGE-PREFIX-META-FN
 (20 20 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-PREFIX-META-FN))
 (5 5 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4 2 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::SYNTAX-DOMINATES
 (250 250 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (240 176 (:REWRITE DEFAULT-CDR))
 (217 107 (:REWRITE DEFAULT-+-2))
 (151 88 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (121 107 (:REWRITE DEFAULT-+-1))
 (84 4 (:DEFINITION LENGTH))
 (61 1 (:LINEAR LIST::LEN-OF-CDR-LINEAR))
 (59 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-WEAK-LINEAR))
 (51 1 (:LINEAR LIST::LEN-OF-CDR-BOUND-TIGHT-LINEAR))
 (32 8 (:REWRITE COMMUTATIVITY-OF-+))
 (32 8 (:DEFINITION INTEGER-ABS))
 (18 14 (:REWRITE DEFAULT-CAR))
 (12 12 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (12 12 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (12 12 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (11 9 (:REWRITE DEFAULT-<-2))
 (10 9 (:REWRITE DEFAULT-<-1))
 (9 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (8 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (8 4 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (6 2 (:DEFINITION SYN::LEN))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 (4 4 (:REWRITE DEFAULT-REALPART))
 (4 4 (:REWRITE DEFAULT-NUMERATOR))
 (4 4 (:REWRITE DEFAULT-IMAGPART))
 (4 4 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 (4 4 (:REWRITE CLR-DIFFERENTIAL))
 (4 4 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (4 4 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (4 4 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (4 4 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (4 4 (:META CONS-EQUAL-SMART-META))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::REMOVE-DOMINATOR
 (151 74 (:REWRITE DEFAULT-+-2))
 (147 147 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (147 108 (:REWRITE DEFAULT-CDR))
 (88 74 (:REWRITE DEFAULT-+-1))
 (84 4 (:DEFINITION LENGTH))
 (76 44 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (76 1 (:DEFINITION CPATH::SYNTAX-DOMINATES))
 (32 8 (:REWRITE COMMUTATIVITY-OF-+))
 (32 8 (:DEFINITION INTEGER-ABS))
 (27 18 (:REWRITE DEFAULT-CAR))
 (11 9 (:REWRITE DEFAULT-<-2))
 (10 9 (:REWRITE DEFAULT-<-1))
 (10 5 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (9 3 (:DEFINITION SYN::LEN))
 (9 1 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (8 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 6 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (6 6 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (6 6 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (5 5 (:TYPE-PRESCRIPTION BOOLEANP))
 (5 5 (:REWRITE CLR-DIFFERENTIAL))
 (5 5 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (5 5 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (5 5 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (5 5 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (5 5 (:META CONS-EQUAL-SMART-META))
 (4 4 (:REWRITE DEFAULT-REALPART))
 (4 4 (:REWRITE DEFAULT-NUMERATOR))
 (4 4 (:REWRITE DEFAULT-IMAGPART))
 (4 4 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (1 1 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(APPLY-FOR-DEFEVALUATOR
 (64 2 (:TYPE-PRESCRIPTION RETURN-LAST))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (6 6 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-REMOVE-PREFIX))
 (6 6 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-PREFIX-META-FN))
 (6 6 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-FROM-ALL-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-FROM-ALL-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION THROW-NONEXEC-ERROR))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV
 (77 2 (:DEFINITION ACL2-COUNT))
 (21 10 (:REWRITE DEFAULT-+-2))
 (21 1 (:DEFINITION LENGTH))
 (14 14 (:TYPE-PRESCRIPTION ACL2-COUNT))
 (14 10 (:REWRITE DEFAULT-+-1))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12 1 (:DEFINITION LEN))
 (10 7 (:REWRITE DEFAULT-CDR))
 (8 2 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (8 2 (:REWRITE COMMUTATIVITY-OF-+))
 (8 2 (:DEFINITION INTEGER-ABS))
 (7 6 (:REWRITE DEFAULT-CAR))
 (6 3 (:TYPE-PRESCRIPTION RETURN-LAST))
 (4 2 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (3 3 (:TYPE-PRESCRIPTION THROW-NONEXEC-ERROR))
 (3 3 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION LEN))
 (1 1 (:REWRITE DEFAULT-REALPART))
 (1 1 (:REWRITE DEFAULT-NUMERATOR))
 (1 1 (:REWRITE DEFAULT-IMAGPART))
 (1 1 (:REWRITE DEFAULT-DENOMINATOR))
 (1 1 (:REWRITE DEFAULT-COERCE-2))
 (1 1 (:REWRITE DEFAULT-COERCE-1))
 )
(EVAL-LIST-KWOTE-LST
 (561 27 (:REWRITE CPATH::WF-SYNTAX-PREFIX-IMPLIES-TRUE-LISTP))
 (536 11 (:DEFINITION CPATH::WF-SYNTAX-PREFIX))
 (383 2 (:REWRITE LIST::TRUE-LISTP-FIX))
 (333 11 (:DEFINITION TRUE-LISTP))
 (228 2 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (85 85 (:TYPE-PRESCRIPTION CPATH::WF-SYNTAX-PREFIX))
 (73 69 (:REWRITE DEFAULT-CDR))
 (69 34 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (60 2 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (58 58 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (54 54 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (52 27 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (42 39 (:REWRITE DEFAULT-CAR))
 (35 35 (:REWRITE CLR-DIFFERENTIAL))
 (35 35 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (35 35 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (35 35 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (35 35 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (34 34 (:TYPE-PRESCRIPTION BOOLEANP))
 (34 34 (:META CONS-EQUAL-SMART-META))
 (20 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (8 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (7 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (5 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (5 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (5 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (5 1 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (5 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (4 2 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (4 1 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (3 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (3 1 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (2 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (2 2 (:TYPE-PRESCRIPTION LEN))
 (2 2 (:REWRITE LIST::OPEN-EQUIV))
 (2 2 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-PREFIX-DOMINATION))
 (2 1 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1 1 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1 1 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1 1 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (1 1 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1 1 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (1 1 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 )
(TRUE-LIST-FIX-EV-LST)
(EV-COMMUTES-CAR
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(EV-LST-COMMUTES-CDR
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-0)
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-1
 (248 4 (:REWRITE ALIST::ASSOC-NON-MEMBERP))
 (154 2 (:DEFINITION ASSOC-EQUAL))
 (136 4 (:DEFINITION ALIST::KEYS))
 (104 8 (:REWRITE LIST::WEAK-RIGHT-NORMALIZATION-CONS))
 (32 8 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (32 8 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (20 18 (:REWRITE DEFAULT-CAR))
 (14 14 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (14 12 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (8 8 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (8 8 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (8 8 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (8 8 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (8 8 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (8 8 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (8 4 (:REWRITE LIST::MEMBERP-OF-NON-CONSP-CHEAP))
 (4 4 (:REWRITE BAG::NON-MEMBERP-FROM-MEMBERP-OF-OTHER-CHEAP))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-TWO))
 (4 4 (:REWRITE BAG::MEMBERP-FALSE-FROM-DISJOINT-OF-CONS-ONE))
 (4 4 (:REWRITE LIST::MEMBERP-DISJOINT-NON-MEMBERP))
 (4 2 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (2 2 (:REWRITE CLR-DIFFERENTIAL))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (2 2 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (2 2 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (2 2 (:META CONS-EQUAL-SMART-META))
 (1 1 (:REWRITE ALIST::KEYQUIV-ASSOC-SUBSTITUTION))
 (1 1 (:REWRITE ALIST::ASSOC-EQUIV-MEMBERP))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-2
 (5 4 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-3
 (20 2 (:DEFINITION PAIRLIS$))
 (19 15 (:REWRITE DEFAULT-CAR))
 (15 12 (:REWRITE DEFAULT-CDR))
 (11 11 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6 2 (:REWRITE EV-LST-COMMUTES-CDR))
 (6 2 (:REWRITE EV-COMMUTES-CAR))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-4
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-5
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-6
 (1 1 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-7
 (5 5 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-8
 (48 4 (:DEFINITION LEN))
 (29 8 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (27 27 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (20 13 (:REWRITE DEFAULT-CDR))
 (15 8 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (8 7 (:REWRITE DEFAULT-CAR))
 (8 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 4 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (4 4 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (4 4 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (2 2 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (2 2 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-9
 (152 2 (:DEFINITION CPATH::SYN-PREFIX-P))
 (42 24 (:REWRITE DEFAULT-CDR))
 (40 23 (:REWRITE DEFAULT-CAR))
 (40 8 (:DEFINITION SYN::CAR))
 (40 6 (:DEFINITION SYN::CDR))
 (38 38 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (30 2 (:DEFINITION SYN::CONSP))
 (18 2 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (14 7 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (7 7 (:TYPE-PRESCRIPTION BOOLEANP))
 (7 7 (:REWRITE CLR-DIFFERENTIAL))
 (7 7 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (7 7 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (7 7 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (7 7 (:META CONS-EQUAL-SMART-META))
 (6 2 (:DEFINITION SYN::LEN))
 (4 4 (:TYPE-PRESCRIPTION SYN::LEN))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-10
 (8 7 (:REWRITE DEFAULT-CAR))
 (5 4 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-11
 (16 11 (:REWRITE DEFAULT-CAR))
 (16 10 (:REWRITE DEFAULT-CDR))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-12
 (72 2 (:DEFINITION CPATH::ALL-DIVERGE-REMOVE-PREFIX))
 (49 3 (:DEFINITION SYN::CONSP))
 (26 16 (:REWRITE DEFAULT-CAR))
 (26 4 (:DEFINITION SYN::CDR))
 (23 15 (:REWRITE DEFAULT-CDR))
 (22 22 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (22 2 (:REWRITE CPATH::ALL-DIVERGE-REMOVE-PREFIX-OPEN))
 (21 21 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-REMOVE-PREFIX))
 (12 3 (:DEFINITION SYN::LEN))
 (10 2 (:DEFINITION SYN::CAR))
 (9 9 (:TYPE-PRESCRIPTION SYN::LEN))
 (8 4 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 (4 4 (:REWRITE CLR-DIFFERENTIAL))
 (4 4 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (4 4 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (4 4 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (4 4 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (4 4 (:META CONS-EQUAL-SMART-META))
 (2 2 (:DEFINITION SYN::CONS))
 (1 1 (:TYPE-PRESCRIPTION SYN::CONSP))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-13
 (26 16 (:REWRITE DEFAULT-CAR))
 (22 2 (:REWRITE CPATH::NOT-SYN-CONSP-ALL-DIVERGE-PREFIX-META-FN))
 (21 21 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-PREFIX-META-FN))
 (20 20 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (18 5 (:DEFINITION SYN::LEN))
 (15 11 (:REWRITE DEFAULT-CDR))
 (12 6 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP))
 (6 6 (:REWRITE CLR-DIFFERENTIAL))
 (6 6 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (6 6 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (6 6 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (6 6 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (6 6 (:META CONS-EQUAL-SMART-META))
 (1 1 (:TYPE-PRESCRIPTION SYN::CONSP))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-14
 (8 7 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-15
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-16
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (6 3 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 3 (:TYPE-PRESCRIPTION BOOLEANP))
 (3 3 (:REWRITE CLR-DIFFERENTIAL))
 (3 3 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (3 3 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (3 3 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-17
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (33 33 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (11 9 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (3 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (3 2 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (2 2 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (2 2 (:REWRITE CPATH::DIVERGE-TAIL-DOMINATOR-BODY-BODY-REC-IMPLIES-DIVERGE))
 (2 2 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-TAIL-DOMINATOR-BODY-IMPLIES-DIVERGE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-CONTAINS-UNIQUE-PREFIXED-TAIL-DOMINATORS-IMPLIES-DIVERGE))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-PREFIX-DIVERGE))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-18
 (21 21 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-TYPE-1))
 (19 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-MEMBERP-NIL))
 (8 7 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (3 3 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3 2 (:REWRITE CPATH::ALL-DIVERGE-OF-NON-CONSP))
 (3 1 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (3 1 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-WHEN-SUBBAG))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-BY-MEMBERSHIP))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE))
 (2 2 (:META CPATH::META-NOT-ALL-DIVERGE-IF-TWINS))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (1 1 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (1 1 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (1 1 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-19
 (97 2 (:REWRITE CPATH::NOT-ALL-DIVERGE-FROM-ALL-WHEN-NOT-DIVERGES-FROM-ALL-OF-CAR-TWO))
 (97 2 (:REWRITE CPATH::NOT-ALL-DIVERGE-FROM-ALL-WHEN-NOT-DIVERGES-FROM-ALL-OF-CAR))
 (40 2 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP))
 (40 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (36 2 (:REWRITE CPATH::NOT-DIVERGES-FROM-ALL-WHEN-MEMBERP-NIL))
 (36 2 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (21 21 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-FROM-ALL-TYPE-2))
 (21 21 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-FROM-ALL-TYPE-1))
 (16 16 (:TYPE-PRESCRIPTION LIST::MEMBERP-TYPE-1))
 (16 16 (:TYPE-PRESCRIPTION LIST::MEMBERP))
 (16 16 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (16 4 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (15 11 (:REWRITE DEFAULT-CAR))
 (12 4 (:REWRITE LIST::MEMBERP-OF-CDR-CHEAP))
 (12 4 (:REWRITE LIST::MEMBERP-FROM-MEMBERP-OF-CDR-CHEAP))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (6 5 (:REWRITE DEFAULT-CDR))
 (6 4 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (6 4 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (6 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (4 4 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-SUBSETP))
 (4 4 (:REWRITE LIST::SUBSET-MEMBERSHIP-FREE-MEMBERP))
 (4 4 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (4 4 (:REWRITE BAG::MEMBERP-OF-REMOVE-ALL))
 (4 4 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (4 4 (:REWRITE BAG::BIND-MEMBERP-REMOVE-BAG))
 (4 4 (:META BAG::META-RULE-TO-SIMPLIFY-CONS-AND-APPEND-NEST))
 (4 4 (:META BAG::META-RULE-TO-SHOW-NON-MEMBERP))
 (4 4 (:META BAG::META-RULE-TO-SHOW-MEMBERP))
 (4 2 (:REWRITE BAG::MEMBERP-CAR-WHEN-DISJOINT-CHEAP))
 (4 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (4 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (3 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-OF-NON-CONSP-TWO))
 (3 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-OF-NON-CONSP-ONE))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (2 2 (:TYPE-PRESCRIPTION LIST::DISJOINT))
 (2 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (2 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (2 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (2 2 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-UNIQUE-SUBBAGPS-AND-ALL-DIVERGE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-SUBBAG-TWO))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-SUBBAG-ONE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-BAD-MEMBER-TWO))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-WHEN-BAD-MEMBER-ONE))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-FROM-ALL-DIVERGE-FROM-ALL-ETC-ALT))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-FROM-ALL-DIVERGE-FROM-ALL-ETC))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::ALL-DIVERGE-FROM-ALL-ALTERNATE-DEFINITION))
 (2 2 (:META CPATH::META-RULE-TO-SHOW-ALL-DIVERGE-FROM-ALL))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-20
 (11 9 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-21
 (11 9 (:REWRITE DEFAULT-CAR))
 (5 4 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-22
 (11 9 (:REWRITE DEFAULT-CAR))
 (6 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-23
 (11 9 (:REWRITE DEFAULT-CAR))
 (8 6 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2 1 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE CLR-DIFFERENTIAL))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (1 1 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (1 1 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (1 1 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-24
 (12 9 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (6 3 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (6 2 (:DEFINITION SYN::LEN))
 (4 4 (:REWRITE DEFAULT-CDR))
 (3 3 (:TYPE-PRESCRIPTION BOOLEANP))
 (3 3 (:REWRITE CLR-DIFFERENTIAL))
 (3 3 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (3 3 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (3 3 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (3 3 (:META CONS-EQUAL-SMART-META))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-25
 (152 2 (:DEFINITION CPATH::SYNTAX-DOMINATES))
 (60 4 (:DEFINITION SYN::CONSP))
 (35 21 (:REWRITE DEFAULT-CAR))
 (34 21 (:REWRITE DEFAULT-CDR))
 (32 32 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (28 4 (:DEFINITION SYN::CDR))
 (20 4 (:DEFINITION SYN::CAR))
 (18 9 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (18 2 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (12 4 (:DEFINITION SYN::LEN))
 (9 9 (:TYPE-PRESCRIPTION BOOLEANP))
 (9 9 (:REWRITE CLR-DIFFERENTIAL))
 (9 9 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (9 9 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (9 9 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (9 9 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (9 9 (:META CONS-EQUAL-SMART-META))
 (8 8 (:TYPE-PRESCRIPTION SYN::LEN))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 )
(CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-26
 (236 2 (:DEFINITION CPATH::REMOVE-DOMINATOR))
 (152 2 (:DEFINITION CPATH::SYNTAX-DOMINATES))
 (90 6 (:DEFINITION SYN::CONSP))
 (58 35 (:REWRITE DEFAULT-CDR))
 (55 31 (:REWRITE DEFAULT-CAR))
 (54 54 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (54 8 (:DEFINITION SYN::CDR))
 (40 8 (:DEFINITION SYN::CAR))
 (22 11 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (18 6 (:DEFINITION SYN::LEN))
 (18 2 (:REWRITE LIST::EQUAL-CAR-DIFFERENTIAL))
 (12 12 (:TYPE-PRESCRIPTION SYN::LEN))
 (11 11 (:TYPE-PRESCRIPTION BOOLEANP))
 (11 11 (:REWRITE CLR-DIFFERENTIAL))
 (11 11 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (11 11 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (11 11 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (11 11 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (11 11 (:META CONS-EQUAL-SMART-META))
 (2 2 (:TYPE-PRESCRIPTION CPATH::SYNTAX-DOMINATES))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT-2))
 (2 2 (:REWRITE LIST::CARS-MATCH-FROM-FIRSTN-FACT))
 (2 2 (:DEFINITION SYN::CONS))
 )
(CPATH::META-ALL-DIVERGE-PREFIX
 (82 63 (:REWRITE DEFAULT-CDR))
 (81 81 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (69 18 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (33 21 (:REWRITE DEFAULT-CAR))
 (33 18 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (30 15 (:REWRITE DEFAULT-+-2))
 (15 15 (:REWRITE DEFAULT-+-1))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-26))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-25))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-24))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-23))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-22))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-21))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-20))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-19))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-18))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-17))
 (12 12 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-16))
 (12 6 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-9))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-8))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-3))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-2))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-14))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-13))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-12))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-11))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-10))
 (10 10 (:REWRITE CPATH::META-ALL-DIVERGE-PREFIX-EV-CONSTRAINT-1))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP))
 (6 6 (:REWRITE CLR-DIFFERENTIAL))
 (6 6 (:META CPATH::META-RULE-TO-SHOW-NOT-EQUAL))
 (6 6 (:META BAG::META-RULE-TO-SHOW-NOT-EQUAL))
 (6 6 (:META BAG::META-RULE-TO-REWRITE-EQUAL-TO-NIL))
 (6 6 (:META BAG::META-RULE-FOR-TWO-MEMBERP-LITERALS))
 (6 6 (:META CONS-EQUAL-SMART-META))
 (3 3 (:TYPE-PRESCRIPTION CPATH::ALL-DIVERGE-REMOVE-PREFIX))
 (2 2 (:LINEAR CPATH::TAIL-P-IMPLIES))
 (2 2 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (2 2 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 )
