(CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME
 (8564 16 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (3744 40 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (3710 42 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (3222 162 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (2442 11 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (1842 18 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (1700 162 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1407 41 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (1241 26 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (1163 11 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (1065 1065 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (965 41 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (935 11 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (816 162 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (771 11 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (664 8 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (652 652 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (652 652 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (585 42 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (528 44 (:DEFINITION LEN))
 (503 503 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (503 503 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (500 500 (:TYPE-PRESCRIPTION LEN))
 (486 162 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (479 122 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (462 273 (:REWRITE DEFAULT-CDR))
 (461 162 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (440 22 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (406 122 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (368 368 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (368 368 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (352 88 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (328 82 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (291 42 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (284 169 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (269 162 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (269 162 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (264 11 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (246 162 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (240 82 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (231 11 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (224 42 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (221 169 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (187 162 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (176 88 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (171 162 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (169 169 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (169 169 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (169 169 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (168 168 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (167 167 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (167 167 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (164 164 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (164 164 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (164 164 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (164 82 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (162 162 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (162 162 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (160 80 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (132 11 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (130 89 (:REWRITE DEFAULT-CAR))
 (124 124 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (124 124 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (117 41 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (116 116 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (112 80 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (97 80 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (88 44 (:REWRITE DEFAULT-+-2))
 (74 41 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (67 42 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (64 40 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (58 41 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (44 44 (:REWRITE DEFAULT-+-1))
 (44 44 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (44 44 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (42 42 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (42 42 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (41 41 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (41 41 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (41 41 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (41 41 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (40 40 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (33 33 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (33 33 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (33 33 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (32 16 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (22 22 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (22 22 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (22 11 (:REWRITE DEFAULT-<-2))
 (22 11 (:REWRITE DEFAULT-<-1))
 (18 18 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (12 1 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (3 2 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (2 2 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (2 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 )
(CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1
 (19719 39 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (8130 94 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (7572 94 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (6719 325 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (3931 19 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (3538 320 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (3332 32 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (2985 56 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (2814 85 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (2155 19 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (2148 2148 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2029 85 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (2006 19 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (1786 94 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (1633 325 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1508 182 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (1444 19 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (1316 94 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (1292 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (1102 1102 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1102 1102 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1102 1102 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (1056 264 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (981 325 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (960 320 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (930 930 (:TYPE-PRESCRIPTION LEN))
 (919 919 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (919 919 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (915 264 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (902 532 (:REWRITE DEFAULT-CDR))
 (888 74 (:DEFINITION LEN))
 (692 692 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (692 692 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (692 692 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (680 170 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (680 34 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (591 345 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (580 148 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (550 320 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (550 320 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (532 18 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (506 94 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (488 170 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (464 19 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (411 411 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (376 376 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (347 347 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (347 347 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (347 347 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (347 347 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (340 340 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (340 340 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (340 340 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (325 325 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (320 320 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (320 320 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (320 320 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (320 320 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (302 208 (:REWRITE DEFAULT-CAR))
 (293 148 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (266 266 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (264 264 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (264 264 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (251 85 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (237 170 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (225 19 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (205 170 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (202 170 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (185 185 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (185 185 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (185 185 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (152 85 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (149 94 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (149 94 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (148 74 (:REWRITE DEFAULT-+-2))
 (117 85 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (112 32 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (94 94 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (94 94 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (94 94 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (85 85 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (85 85 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (85 85 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (85 85 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (74 74 (:REWRITE DEFAULT-+-1))
 (68 68 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (68 68 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (64 32 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (56 56 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (56 56 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (56 56 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (41 5 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (36 18 (:REWRITE DEFAULT-<-2))
 (36 18 (:REWRITE DEFAULT-<-1))
 (34 34 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (34 34 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (32 32 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (32 32 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (24 3 (:DEFINITION TRUE-LISTP))
 (20 5 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (12 6 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (8 5 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (8 5 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (5 5 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (5 5 (:REWRITE LIST::OPEN-EQUIV))
 (5 5 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (2 2 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 )
(CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2)
(CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1
 (863 54 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (399 399 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (399 399 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (361 361 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (344 36 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (324 27 (:DEFINITION LEN))
 (288 26 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (266 26 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (249 3 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (229 55 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (216 54 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (191 191 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (191 191 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (190 122 (:REWRITE DEFAULT-CDR))
 (160 20 (:DEFINITION TRUE-LISTP))
 (160 1 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (148 39 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (110 54 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (108 54 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (104 39 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (103 3 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (103 3 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (80 40 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (80 4 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (68 68 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (68 68 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (63 3 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (54 54 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (54 27 (:REWRITE DEFAULT-+-2))
 (49 36 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (49 36 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (49 26 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (47 10 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (47 10 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (46 26 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (39 39 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (27 27 (:REWRITE DEFAULT-+-1))
 (26 26 (:REWRITE LIST::OPEN-EQUIV))
 (26 26 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (19 12 (:REWRITE CPATH::STRICTLY-DOMINATES-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 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (10 10 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (10 10 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (7 7 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (7 7 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (6 3 (:REWRITE DEFAULT-<-2))
 (6 3 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (2 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 )
(CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2
 (6 6 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 )
(CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1
 (1023 66 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (466 23 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (447 447 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (447 447 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (397 397 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (394 33 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (348 39 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (324 27 (:DEFINITION LEN))
 (321 33 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (280 67 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (257 3 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (217 1 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (216 54 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (204 131 (:REWRITE DEFAULT-CDR))
 (196 196 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (196 196 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (192 24 (:DEFINITION TRUE-LISTP))
 (172 44 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (137 66 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (120 120 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (117 46 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (108 54 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (103 3 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (103 3 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (96 48 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (91 91 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (91 91 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (80 4 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (66 66 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (63 3 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (62 33 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (57 33 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (54 27 (:REWRITE DEFAULT-+-2))
 (53 39 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (53 39 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (47 10 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (47 10 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (46 46 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (33 33 (:REWRITE LIST::OPEN-EQUIV))
 (33 33 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (27 27 (:REWRITE DEFAULT-+-1))
 (26 17 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (23 23 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (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))
 (14 14 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (10 10 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (10 10 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (10 10 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (7 7 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (7 7 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (6 3 (:REWRITE DEFAULT-<-2))
 (6 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (2 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 )
(CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2
 (6 6 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 )
(CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1
 (90499 92 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (58580 72 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (57007 1022 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (52299 1898 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (50307 195 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (48355 2507 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (39104 72 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (36898 72 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (35079 9 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (32445 1028 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (16692 127 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (16456 1323 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (15444 15444 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (15075 1323 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (14274 182 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (14250 84 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (12486 15 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (12350 14 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (11586 1749 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (10980 915 (:DEFINITION LEN))
 (10654 2527 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (9168 1146 (:DEFINITION TRUE-LISTP))
 (8748 15 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (8142 8142 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (8142 8142 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (7270 4794 (:REWRITE DEFAULT-CDR))
 (6950 1830 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (6579 1830 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (6544 6 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (6375 320 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (5730 5730 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5081 2507 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (4944 95 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (4584 2292 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (4492 101 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (4323 127 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (4042 95 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (3773 195 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (3561 1830 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (2507 2507 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2480 1323 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (2469 1323 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (2438 1749 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (2344 1749 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2227 2227 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (2227 2227 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (1881 1881 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (1830 915 (:REWRITE DEFAULT-+-2))
 (1561 1561 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1561 1561 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1385 195 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (1323 1323 (:REWRITE LIST::OPEN-EQUIV))
 (1323 1323 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (1181 885 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (1070 320 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (1028 1028 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (1022 1022 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (1014 1014 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1008 1008 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1008 1008 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (998 998 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (998 998 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (915 915 (:REWRITE DEFAULT-+-1))
 (522 522 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (440 440 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (440 440 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (440 440 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (435 16 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED-2))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (320 320 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (320 320 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (320 320 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (278 174 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (263 174 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (261 261 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (261 261 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (235 235 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (235 235 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (233 16 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED))
 (204 194 (:REWRITE DEFAULT-CAR))
 (197 15 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (166 72 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (142 71 (:REWRITE DEFAULT-<-2))
 (142 71 (:REWRITE DEFAULT-<-1))
 (140 38 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (137 72 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (123 123 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (122 72 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (101 14 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (80 72 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (74 15 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (72 72 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (72 72 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (72 72 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (60 60 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (41 41 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 (40 20 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (32 16 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (24 14 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (21 15 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (18 18 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (18 18 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (18 18 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (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))
 (15 15 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (15 15 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (15 15 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (14 9 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (12 8 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (9 9 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (9 9 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (9 9 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (9 9 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (9 9 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 )
(CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (2 2 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1
 (17560 12 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (12350 106 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (7796 332 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (7508 30 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (7016 12 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (5537 43 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (4898 43 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (4270 30 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (2915 501 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (2692 18 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (2353 501 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (2278 6 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (2199 75 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (2126 10 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (1946 163 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (1742 332 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1636 6 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (1541 1541 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1434 6 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (1328 328 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (1320 1320 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (1320 1320 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (1152 232 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (1140 328 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (1101 1101 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (1101 1101 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (1077 1077 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (1072 6 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (1056 501 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (1025 500 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (996 329 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (945 501 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (864 500 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (793 329 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (792 792 (:TYPE-PRESCRIPTION LEN))
 (740 332 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (732 497 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (724 232 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (639 407 (:REWRITE DEFAULT-CDR))
 (504 42 (:DEFINITION LEN))
 (500 500 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (466 328 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (466 328 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (336 84 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (332 332 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (329 329 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (280 14 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (271 271 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (260 160 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (248 160 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (240 240 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (240 240 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (240 240 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (235 235 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (235 235 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (210 30 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (206 176 (:REWRITE DEFAULT-CAR))
 (200 200 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (200 200 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (184 28 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (180 28 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (168 84 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (163 163 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (162 30 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (150 75 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (144 6 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (126 6 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (121 43 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (120 120 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (120 60 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (96 6 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (84 84 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (84 42 (:REWRITE DEFAULT-+-2))
 (76 43 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (63 43 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (48 30 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (48 30 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (43 43 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (43 43 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (43 43 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (43 43 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (42 42 (:REWRITE DEFAULT-+-1))
 (31 31 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (30 30 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (30 30 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (30 30 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (24 12 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (18 18 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (18 18 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (15 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (14 14 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (14 14 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (12 12 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (12 12 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (12 12 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (12 6 (:REWRITE DEFAULT-<-2))
 (12 6 (:REWRITE DEFAULT-<-1))
 (8 1 (:DEFINITION TRUE-LISTP))
 (7 7 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (7 7 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (6 3 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (4 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (4 2 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (3 3 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (3 3 (:REWRITE LIST::OPEN-EQUIV))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (3 2 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (2 2 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (2 2 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 )
(CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2
 (6 6 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (6 6 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (1 1 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 )
(CPATH::NON-DIVERGENCE-FROM-COMMON-DOMINATION
 (337 1 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (151 151 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (151 151 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (108 9 (:DEFINITION LEN))
 (104 104 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (104 104 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (93 1 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (83 6 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (72 18 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (71 71 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (60 3 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (51 3 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (47 29 (:REWRITE DEFAULT-CDR))
 (36 18 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (35 3 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (34 34 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (34 34 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (33 33 (:TYPE-PRESCRIPTION LEN))
 (24 1 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (19 4 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (18 9 (:REWRITE DEFAULT-+-2))
 (16 1 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (9 9 (:REWRITE DEFAULT-+-1))
 (9 3 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (8 4 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (6 6 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (5 3 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (5 3 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (5 3 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (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::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (3 3 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (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-TRANSITIVE-TWO))
 (3 3 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (3 3 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (3 3 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (3 3 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-<-1))
 (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-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-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (1 1 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 )
(CPATH::STRICTLY-DOMINATES-FROM-NOT-DIVERGE-AND-NOT-DOMINATES-1
 (2031 13 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (958 11 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (918 11 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (804 67 (:DEFINITION LEN))
 (771 2 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (613 27 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (572 34 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (534 534 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (499 134 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (434 7 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (396 27 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (354 26 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (347 220 (:REWRITE DEFAULT-CDR))
 (340 27 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (340 17 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (256 134 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (220 220 (:TYPE-PRESCRIPTION LEN))
 (219 7 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (205 21 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (181 37 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (178 52 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (164 164 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (164 164 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (146 2 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED-2))
 (144 9 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (141 37 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (134 67 (:REWRITE DEFAULT-+-2))
 (123 123 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (123 123 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (97 1 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (96 96 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (96 96 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (96 12 (:DEFINITION TRUE-LISTP))
 (94 50 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (77 20 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (67 67 (:REWRITE DEFAULT-+-1))
 (60 60 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (58 20 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (53 37 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (50 50 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (49 37 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (48 24 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (37 37 (:REWRITE LIST::OPEN-EQUIV))
 (37 37 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (34 34 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (29 1 (:REWRITE CPATH::DOMINATES-MEANS-NOT-DIVERGE-ALT))
 (27 27 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (27 27 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (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))
 (24 24 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (20 20 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (20 20 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (20 20 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (18 13 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (17 17 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (17 17 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (12 12 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (10 5 (:REWRITE DEFAULT-<-2))
 (10 5 (:REWRITE DEFAULT-<-1))
 (8 6 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (8 6 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (7 7 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 (6 6 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (4 2 (:REWRITE EQUAL-BOOLEANS-REDUCTON))
 (2 2 (:REWRITE CPATH::LEN-EQUAL-WHEN-STRICTLY-DOMINATED))
 (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))
 (2 1 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE-CHEAP))
 (2 1 (:REWRITE CPATH::DIVERGE-OF-NON-CONSP-ONE))
 (1 1 (:REWRITE CPATH::TWO-DOMINATORS-CANNOT-DIVERGE))
 (1 1 (:REWRITE CPATH::DOMINATES-MEANS-NOT-DIVERGE))
 )
(CPATH::STRICTLY-DOMINATES-FROM-NOT-DIVERGE-AND-NOT-DOMINATES-2
 (3 3 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (3 3 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (3 3 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(CPATH::DOM-SUBHYPS)
(CPATH::DOM-SUBSET)
(CPATH::DOM-SUPERSET)
(CPATH::MULTIPLICITY-CONSTRAINT)
(CPATH::BADGUY
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 )
(CPATH::BADGUY-WITNESS
 (56014 789 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (37554 93 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (33620 245 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (29263 1256 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (26844 158 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (26509 245 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (20801 1232 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (20445 269 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (20371 64 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (17404 42 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (15725 2784 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (13724 64 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (11804 47 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (11411 269 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (10664 572 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (10259 64 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (9501 9501 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (8504 42 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (8445 501 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (6515 1256 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (6512 1216 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (6360 1578 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (6072 5880 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (5678 5498 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (5558 5498 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (5431 64 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (5373 85 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (5184 274 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (4861 4723 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4777 4723 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (4629 2784 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (4615 1578 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (4307 1578 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (4287 2784 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (4240 2640 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (4028 998 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (3919 2624 (:REWRITE DEFAULT-CDR))
 (3624 1216 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (3586 1256 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (3336 3336 (:TYPE-PRESCRIPTION LEN))
 (3096 256 (:DEFINITION LEN))
 (2958 1578 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (2916 1232 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2872 50 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (2784 2784 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2784 2784 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2784 2784 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2784 2784 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (2784 2784 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (2030 1216 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2030 1216 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (2003 998 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (1989 512 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (1826 88 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (1699 998 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (1698 1434 (:REWRITE DEFAULT-CAR))
 (1678 998 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (1628 64 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (1585 998 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (1578 1578 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (1578 1578 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (1578 1578 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1578 1578 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1551 1491 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (1491 1491 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (1491 1491 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (1476 269 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (1256 1256 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1232 1232 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (1068 1068 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (1022 512 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (982 64 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (968 466 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (847 793 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (799 793 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (774 774 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (691 245 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (512 256 (:REWRITE DEFAULT-+-2))
 (484 176 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (448 245 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (448 40 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (419 267 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (418 262 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (365 245 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (333 245 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (272 34 (:DEFINITION TRUE-LISTP))
 (269 269 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (262 262 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (256 256 (:REWRITE DEFAULT-+-1))
 (245 245 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (245 245 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (245 245 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (178 178 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (178 178 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (178 178 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (176 176 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (170 170 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (166 84 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (154 40 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (144 144 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (136 68 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (106 88 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (100 50 (:REWRITE DEFAULT-<-2))
 (100 50 (:REWRITE DEFAULT-<-1))
 (93 93 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (88 88 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (74 40 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (74 40 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (40 40 (:REWRITE LIST::OPEN-EQUIV))
 (40 40 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (36 36 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (36 36 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (36 36 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (28 28 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 (12 8 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (12 8 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (8 8 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (8 8 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (2 2 (:REWRITE BAG::DUMB))
 )
(CPATH::DOM-SUBSET-BY-MULTIPLICITY-DRIVER
 (62 62 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (14 14 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 )
(CPATH::ADVISER-ALL-DOMINATED-BY-SOME-TRIGGER)
(CPATH::DOM-SUBSET-BY-MULTIPLICITY-ANY)
(CPATH::DOM-SUBSET-BY-MULTIPLICITY)
(CPATH::ALL-DOMINATED-BY-SOME-ID
 (267 1 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (197 1 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (108 2 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (97 1 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (83 1 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (61 1 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (26 2 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (25 1 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (17 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (16 16 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (16 16 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (16 16 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (16 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (16 4 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (13 1 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (13 1 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (12 12 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (10 4 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (8 1 (:DEFINITION TRUE-LISTP))
 (7 1 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (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::DIVERGES-FROM-ALL))
 (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 CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (6 6 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (6 6 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (6 5 (:REWRITE DEFAULT-CDR))
 (6 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5 5 (:REWRITE DEFAULT-CAR))
 (5 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (4 4 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (4 4 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (4 4 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (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))
 (4 1 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (3 1 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (2 2 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (2 2 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (2 2 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (2 1 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (2 1 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (1 1 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (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 LIST::OPEN-EQUIV))
 (1 1 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (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))
 (1 1 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (1 1 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (1 1 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (1 1 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (1 1 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (1 1 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 )
(CPATH::SETEQUIV)
(CPATH::SETEQUIV-IS-AN-EQUIVALENCE
 (27307 14 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (19403 40 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (8914 94 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (8338 94 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (7078 150 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (6502 274 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (6274 94 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (5784 94 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (4400 32 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (4336 274 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (3108 12 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (2742 30 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (2290 18 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (2134 30 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (1865 1865 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1798 6 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (1442 308 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (1378 274 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (1323 6 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (1200 300 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (1128 1128 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (1128 1128 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (1128 1128 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (944 944 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (944 944 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (944 944 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (942 6 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (932 932 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (932 932 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (932 932 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (928 274 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (870 6 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (840 464 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (822 274 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (798 6 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (797 517 (:REWRITE DEFAULT-CDR))
 (732 44 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (635 635 (:TYPE-PRESCRIPTION LEN))
 (616 94 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (558 6 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (548 300 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (496 274 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (496 274 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (480 94 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (472 472 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (472 472 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (472 472 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (472 472 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (472 472 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (472 472 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (472 472 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (472 472 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (396 308 (:REWRITE DEFAULT-CAR))
 (364 164 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (352 352 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (352 88 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (338 338 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (338 338 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (308 308 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (300 300 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (300 300 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (300 300 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (300 300 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (274 274 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (274 274 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (274 274 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (274 274 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (274 274 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (256 256 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (252 21 (:DEFINITION LEN))
 (180 9 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (168 42 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (160 88 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (150 88 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (148 148 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (148 148 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (148 148 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (148 94 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (144 6 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (142 88 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (136 88 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (118 118 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (118 118 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (118 118 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (96 6 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (94 94 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (94 94 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (94 94 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (90 30 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (88 88 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (88 44 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (84 42 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (54 30 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (42 30 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (42 21 (:REWRITE DEFAULT-+-2))
 (36 36 (:REWRITE CPATH::DOM-SUBSET-BY-MULTIPLICITY))
 (30 30 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (30 30 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (30 30 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (30 30 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (24 12 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (21 21 (:REWRITE DEFAULT-+-1))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (18 18 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (18 18 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (18 18 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (18 18 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (18 18 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (12 12 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (12 12 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (12 12 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (12 6 (:REWRITE DEFAULT-<-2))
 (12 6 (:REWRITE DEFAULT-<-1))
 (9 9 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (9 9 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::SETEQUIV-CONS-REDUCTION
 (9603 155 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (9410 23 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (6342 61 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (5655 61 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (4844 55 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (3882 9 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-CONS))
 (3778 191 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (3470 216 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (3188 51 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (2853 15 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (2622 15 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (2551 22 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (2421 191 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (2378 15 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (2191 21 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (2014 354 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (1776 51 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (1683 1683 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1616 102 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (1559 6 (:REWRITE CPATH::FIRST-DOMINATOR-CONS))
 (1249 1249 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (987 12 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (965 191 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (867 867 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (867 867 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (867 867 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (815 354 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (791 216 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (724 498 (:REWRITE DEFAULT-CDR))
 (717 419 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (717 12 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (693 191 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (636 636 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (636 636 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (581 354 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (552 552 (:TYPE-PRESCRIPTION LEN))
 (552 46 (:DEFINITION LEN))
 (539 191 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (462 462 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (462 462 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (462 462 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (462 462 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (462 462 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (462 462 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (462 462 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (462 462 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (461 144 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (460 51 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (460 15 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (440 22 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (362 92 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (354 354 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (354 354 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (354 354 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (354 354 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (354 354 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (328 210 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (326 326 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (326 326 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (326 326 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (319 210 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (316 269 (:REWRITE DEFAULT-CAR))
 (301 183 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (301 183 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (288 12 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (216 216 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (196 196 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (192 12 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (191 191 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (191 191 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (191 191 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (189 94 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (184 92 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (183 183 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (183 183 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (177 90 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (159 61 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (115 115 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (115 115 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (115 115 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (97 61 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (92 46 (:REWRITE DEFAULT-+-2))
 (86 61 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (76 48 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (76 48 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (61 61 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (61 61 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (61 61 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (61 61 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (56 8 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (55 55 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (51 51 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (51 51 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (48 48 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (46 46 (:REWRITE DEFAULT-+-1))
 (44 44 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (44 44 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (43 43 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (36 36 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (36 36 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (36 36 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (36 18 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (32 8 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (32 4 (:DEFINITION TRUE-LISTP))
 (24 12 (:REWRITE DEFAULT-<-2))
 (24 12 (:REWRITE DEFAULT-<-1))
 (23 23 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (22 22 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (22 22 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (21 21 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (16 8 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (12 8 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (12 8 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (8 8 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (8 8 (:REWRITE LIST::OPEN-EQUIV))
 (8 8 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (5 5 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (5 5 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 )
(CPATH::SETEQUIV-APPEND-REDUCTION
 (66661 17 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (31976 417 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (24237 46 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (21213 201 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (19377 119 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (17941 127 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (16897 201 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (14025 412 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (13587 55 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (11912 17 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-APPEND))
 (11671 20 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (11497 600 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (10376 125 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (8431 412 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (8038 54 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (7655 3570 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (7020 36 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (6678 995 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (6035 6035 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6020 3010 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (6020 3010 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (5856 20 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (5322 20 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (4662 246 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (4494 2108 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (4086 1392 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4070 4070 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (3724 3570 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (3523 412 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (3256 20 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (3010 3010 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (2778 2108 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (2698 1014 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (2493 1027 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2342 1178 (:REWRITE DEFAULT-CDR))
 (2307 412 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (2260 6 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-APPEND))
 (2246 1392 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (2230 20 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (2111 995 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (2108 2108 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (2016 588 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (1762 1762 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (1622 560 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (1543 125 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (1402 922 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (1284 496 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (1244 409 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1244 409 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1238 588 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (1222 1222 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (1126 1126 (:TYPE-PRESCRIPTION LEN))
 (1120 1012 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (1114 1114 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1114 1114 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1114 1114 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1114 1114 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (1114 1114 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (1114 1114 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (1114 1114 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (1114 1114 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1054 125 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (1014 1014 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (1012 1012 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (1012 1012 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1012 1012 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (964 922 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (952 76 (:DEFINITION LEN))
 (937 680 (:REWRITE DEFAULT-CAR))
 (922 922 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (871 588 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (830 36 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (728 152 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (679 201 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (676 218 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (659 588 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (594 230 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (587 344 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (550 20 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (530 228 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (511 201 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (459 119 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (412 412 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (412 412 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (412 412 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (409 409 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (409 409 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (409 195 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (392 228 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (380 20 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (364 152 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (277 195 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (246 124 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (228 228 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (201 201 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (201 201 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (201 201 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (152 76 (:REWRITE DEFAULT-+-2))
 (125 125 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (125 125 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (119 119 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (104 10 (:REWRITE BAG::SUBBAGP-OF-CDR))
 (87 87 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (84 84 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (79 40 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (76 76 (:REWRITE DEFAULT-+-1))
 (76 28 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (72 72 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (72 72 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (66 36 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (60 60 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (60 60 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (60 60 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (56 28 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (50 18 (:REWRITE LIST::CONSP-APPEND))
 (46 46 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (40 40 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (40 20 (:REWRITE DEFAULT-<-2))
 (40 20 (:REWRITE DEFAULT-<-1))
 (39 3 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (36 36 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (36 36 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (30 30 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (30 30 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (30 30 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (28 28 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (28 28 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-ONE-CHEAP))
 (28 28 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (28 28 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (24 3 (:DEFINITION TRUE-LISTP))
 (21 12 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (18 12 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (16 12 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (12 12 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (12 12 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (12 12 (:REWRITE LIST::CAR-APPEND-CONSP))
 (12 6 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (12 3 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (11 11 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (8 4 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (6 3 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (4 4 (:REWRITE LIST::CDR-APPEND-CONSP))
 (3 3 (:REWRITE LIST::OPEN-EQUIV))
 (3 3 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (2 2 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 )
(CPATH::EQUIV-IMPLIES-SETEQUIV-CONS-1
 (11544 20 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (10479 141 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (9538 22 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-CONS))
 (7862 78 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (7466 248 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (6916 78 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (4260 14 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (3024 12 (:REWRITE CPATH::FIRST-DOMINATOR-CONS))
 (2989 36 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (2986 404 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (2528 36 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (2150 16 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (1964 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (1914 16 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (1820 16 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (1728 160 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1520 104 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (1351 1351 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (1348 248 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (1313 1313 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1100 10 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (892 404 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (822 162 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (747 2 (:REWRITE CPATH::SETEQUIV-CONS-REDUCTION))
 (736 102 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (700 700 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (700 700 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (700 700 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (672 10 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (652 463 (:REWRITE DEFAULT-CDR))
 (559 36 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (542 321 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (536 536 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (536 536 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (500 404 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (422 422 (:TYPE-PRESCRIPTION LEN))
 (421 162 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (411 411 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (411 411 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (411 411 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (411 411 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (411 411 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (411 411 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (411 411 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (411 411 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (408 34 (:DEFINITION LEN))
 (404 404 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (404 404 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (404 404 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (404 404 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (404 404 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (372 372 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (372 372 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (372 372 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (324 232 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (320 232 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (312 16 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (280 14 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (279 252 (:REWRITE DEFAULT-CAR))
 (260 68 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (248 248 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (240 10 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (229 23 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (220 140 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (220 140 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (206 78 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (162 162 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (160 160 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (160 160 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (160 10 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (155 23 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (146 76 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (140 140 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (140 140 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (136 68 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (124 124 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (114 78 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (112 52 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (106 78 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (98 98 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (98 98 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (98 98 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (90 90 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (88 11 (:DEFINITION TRUE-LISTP))
 (78 78 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (78 78 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (78 78 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (78 78 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (68 34 (:REWRITE DEFAULT-+-2))
 (55 55 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (47 30 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (46 46 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (44 29 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (44 22 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (36 36 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (36 36 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (34 34 (:REWRITE DEFAULT-+-1))
 (34 23 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (34 23 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (30 30 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (30 30 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (30 30 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (30 30 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (28 28 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (28 28 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (24 14 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (23 23 (:REWRITE LIST::OPEN-EQUIV))
 (23 23 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (20 20 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (20 10 (:REWRITE DEFAULT-<-2))
 (20 10 (:REWRITE DEFAULT-<-1))
 (16 8 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (14 14 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (14 14 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (14 14 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (14 14 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 )
(CPATH::SETEQUIV-IMPLIES-SETEQUIV-CONS-2
 (50135 68 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (31073 545 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (24841 56 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (19907 184 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (16292 184 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (13237 30 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-CONS))
 (13201 174 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (11838 94 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (9923 52 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (8874 76 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (8333 652 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (7866 584 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (7601 52 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (6716 1256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (6588 1196 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (5608 174 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (5594 40 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (5448 5448 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4764 28 (:REWRITE CPATH::FIRST-DOMINATOR-CONS))
 (4604 284 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (4449 4449 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (4385 38 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (4337 52 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (3270 654 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (3092 1196 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (2932 38 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (2874 2874 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (2874 2874 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (2874 2874 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (2383 1397 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2322 1610 (:REWRITE DEFAULT-CDR))
 (2170 2170 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2170 2170 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (2132 54 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (1860 654 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (1781 1781 (:TYPE-PRESCRIPTION LEN))
 (1622 2 (:REWRITE CPATH::SETEQUIV-CONS-REDUCTION))
 (1528 1196 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (1527 1527 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1527 1527 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1527 1527 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1527 1527 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (1527 1527 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (1527 1527 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (1527 1527 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (1527 1527 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1524 127 (:DEFINITION LEN))
 (1466 174 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (1330 496 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (1256 1256 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (1196 1196 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (1196 1196 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1196 1196 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1135 983 (:REWRITE DEFAULT-CAR))
 (1033 624 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1033 624 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1028 584 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (1020 51 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (988 254 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (940 568 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (920 920 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (920 920 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (920 920 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (912 38 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (896 568 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (656 656 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (654 654 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (652 652 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (652 652 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (624 624 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (624 624 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (620 280 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (608 38 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (584 584 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (554 280 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (536 184 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (508 254 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (370 370 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (370 370 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (370 370 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (320 184 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (294 30 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (262 184 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (261 160 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (254 127 (:REWRITE DEFAULT-+-2))
 (248 162 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (184 184 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (184 184 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (184 184 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (184 184 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (176 22 (:DEFINITION TRUE-LISTP))
 (174 174 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (174 174 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (166 30 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (160 160 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (130 130 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (127 127 (:REWRITE DEFAULT-+-1))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (114 114 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (114 114 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (110 110 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (102 102 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (102 102 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (96 48 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (88 44 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (76 76 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (76 38 (:REWRITE DEFAULT-<-2))
 (76 38 (:REWRITE DEFAULT-<-1))
 (56 56 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (54 54 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (52 30 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (52 30 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (51 51 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (51 51 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (30 30 (:REWRITE LIST::OPEN-EQUIV))
 (30 30 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 )
(CPATH::SETEQUIV-IMPLIES-SETEQUIV-APPEND-1
 (168754 30 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (90127 920 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (72134 86 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (64349 516 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (54876 48 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-APPEND))
 (50378 516 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (47764 1312 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (37812 252 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (37448 242 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (35545 106 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (33750 38 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (30124 802 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (28789 8172 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (24212 38 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (23290 252 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (20880 20880 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20880 10440 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (20880 10440 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (20640 2250 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (17808 802 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (17496 146 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (12948 524 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (12333 4401 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (11979 38 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (10440 10440 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (9874 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-APPEND))
 (9434 2712 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (9383 2386 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (8764 8764 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (8690 8172 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (7666 802 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (6939 6939 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (6669 4401 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (6518 2159 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (6474 6474 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (5764 2092 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (5310 38 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (5135 2489 (:REWRITE DEFAULT-CDR))
 (4974 802 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (4864 2712 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (4573 38 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (4444 1252 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (4401 4401 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (4375 2 (:REWRITE CPATH::SETEQUIV-APPEND-REDUCTION))
 (4179 2250 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (4048 1276 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (3782 1276 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (3042 252 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (3024 976 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (2704 802 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2704 802 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (2448 492 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (2442 2298 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (2406 802 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (2388 516 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (2386 2386 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (2386 2092 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (2334 252 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (2303 2303 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2303 2303 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2303 2303 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2303 2303 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (2303 2303 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (2303 2303 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (2303 2303 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (2303 2303 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (2298 2298 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (2298 2298 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (2298 2298 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (2245 60 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (2155 2155 (:TYPE-PRESCRIPTION LEN))
 (2092 2092 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (1916 1276 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (1906 498 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (1901 1415 (:REWRITE DEFAULT-CAR))
 (1828 516 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (1788 133 (:DEFINITION LEN))
 (1668 57 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (1640 266 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (1378 434 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1276 1276 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (1264 452 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (1248 38 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (1020 242 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (896 38 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (854 434 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (838 688 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (820 266 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (802 802 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (802 802 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (802 802 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (802 802 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (802 802 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (734 498 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (558 244 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (516 516 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (516 516 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (516 516 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (434 434 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (416 36 (:REWRITE BAG::SUBBAGP-OF-CDR))
 (354 354 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (332 118 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (266 133 (:REWRITE DEFAULT-+-2))
 (252 252 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (252 252 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (242 242 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (236 118 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (201 57 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (152 76 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (144 144 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (133 133 (:REWRITE DEFAULT-+-1))
 (118 118 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (118 118 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-ONE-CHEAP))
 (118 118 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (118 118 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (114 114 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (114 114 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (114 114 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (114 114 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (106 42 (:REWRITE LIST::CONSP-APPEND))
 (86 86 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (76 76 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (76 76 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (76 38 (:REWRITE DEFAULT-<-2))
 (76 38 (:REWRITE DEFAULT-<-1))
 (60 60 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (57 57 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (28 14 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (24 24 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (14 14 (:REWRITE LIST::CAR-APPEND-CONSP))
 (8 4 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (6 6 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (4 4 (:REWRITE LIST::CDR-APPEND-CONSP))
 )
(CPATH::SETEQUIV-IMPLIES-SETEQUIV-APPEND-2
 (171579 30 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (87737 946 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (68306 86 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (61901 48 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-APPEND))
 (59690 426 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (49624 426 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (44286 1216 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (38460 260 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (37664 250 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (34384 106 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (32605 38 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (31063 8406 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (30698 822 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (27530 260 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (22685 38 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (21451 2302 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (20408 20408 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20408 10204 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (20408 10204 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (18176 822 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (17170 110 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (16686 2470 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (12697 4461 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (12279 38 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (11952 476 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (10204 10204 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (9643 9643 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (9600 2782 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (8924 8406 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (8509 8509 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (7875 2 (:REWRITE CPATH::SETEQUIV-APPEND-REDUCTION))
 (7816 822 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (6870 6870 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6697 4461 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (6484 2201 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (5458 38 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (5412 1888 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (5112 2467 (:REWRITE DEFAULT-CDR))
 (5030 822 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (4970 2782 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (4589 38 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (4461 4461 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (4326 1206 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (4261 2302 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (3999 60 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (3680 1180 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (3394 1180 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (3092 260 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (3064 1000 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (2740 822 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2740 822 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (2470 2470 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (2466 822 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (2446 2350 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (2376 260 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (2350 2350 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (2350 2350 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (2350 2350 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (2312 460 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (2309 2309 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2309 2309 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2309 2309 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2309 2309 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (2309 2309 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (2309 2309 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (2309 2309 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (2309 2309 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (2195 2195 (:TYPE-PRESCRIPTION LEN))
 (2182 1888 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (2058 426 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (1943 1451 (:REWRITE DEFAULT-CAR))
 (1888 1888 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (1804 133 (:DEFINITION LEN))
 (1754 1180 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (1714 408 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (1712 57 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (1688 266 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (1560 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-APPEND))
 (1520 1180 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (1424 440 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1292 460 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (1276 38 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (1032 250 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (920 38 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (868 440 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (858 708 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (844 266 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (822 822 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (822 822 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (822 822 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (822 822 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (822 822 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (642 426 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (614 408 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (566 250 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (440 440 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (426 426 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (426 426 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (426 426 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (266 133 (:REWRITE DEFAULT-+-2))
 (260 260 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (260 260 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (250 250 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (213 57 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (152 76 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (133 133 (:REWRITE DEFAULT-+-1))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (114 114 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (114 114 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (114 114 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (114 114 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (108 108 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (106 42 (:REWRITE LIST::CONSP-APPEND))
 (86 86 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (76 76 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (76 76 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (76 38 (:REWRITE DEFAULT-<-2))
 (76 38 (:REWRITE DEFAULT-<-1))
 (72 18 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (60 60 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (57 57 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (54 54 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (36 18 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (24 24 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (24 14 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (18 18 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (18 18 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-ONE-CHEAP))
 (18 18 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (18 18 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (14 14 (:REWRITE LIST::CAR-APPEND-CONSP))
 (8 4 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (6 6 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (4 4 (:REWRITE LIST::CDR-APPEND-CONSP))
 )
(CPATH::SETEQUIV-IMPLIES-EQUAL-ALL-DOMINATED-BY-SOME-1
 (13787 8 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (10075 16 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (5056 40 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (4382 16 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (4056 78 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (3784 40 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (2884 124 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (2580 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (2280 40 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (2042 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (1900 124 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1732 20 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (1542 12 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (1291 4 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (955 955 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (909 4 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (904 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (628 124 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (624 156 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (600 36 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (574 574 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (574 574 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (574 574 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (503 4 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (478 478 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (478 478 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (478 478 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (424 424 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (424 424 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (424 424 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (418 238 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (404 124 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (393 259 (:REWRITE DEFAULT-CDR))
 (372 124 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (372 4 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (369 4 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (346 156 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (309 309 (:TYPE-PRESCRIPTION LEN))
 (292 160 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (288 72 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (280 40 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (242 242 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (242 242 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (242 242 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (242 242 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (242 242 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (242 242 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (242 242 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (242 242 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (220 124 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (220 124 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (216 40 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (194 154 (:REWRITE DEFAULT-CAR))
 (180 15 (:DEFINITION LEN))
 (160 160 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (160 160 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (160 80 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (156 156 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (156 156 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (156 156 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (156 156 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (140 7 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (132 132 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (132 132 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (132 72 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (124 124 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (124 124 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (124 124 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (124 124 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (124 124 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (122 72 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (120 30 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (116 72 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (112 112 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (112 112 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (112 112 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (112 112 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (96 4 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (72 72 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (72 36 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (64 40 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (64 40 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (64 4 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (60 60 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (60 60 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (60 60 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (60 30 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (60 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (40 40 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (40 40 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (40 40 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (40 40 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (36 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (30 15 (:REWRITE DEFAULT-+-2))
 (28 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (20 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (20 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (20 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (20 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (16 16 (:REWRITE CPATH::DOM-SUBSET-BY-MULTIPLICITY))
 (16 16 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (16 8 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (15 15 (:REWRITE DEFAULT-+-1))
 (14 14 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (14 14 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (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))
 (8 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (8 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (8 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (8 4 (:REWRITE DEFAULT-<-2))
 (8 4 (:REWRITE DEFAULT-<-1))
 (7 7 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (7 7 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (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::SETEQUIV-IMPLIES-EQUAL-ALL-DOMINATED-BY-SOME-2
 (18271 8 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (12941 28 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (7914 20 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (6244 64 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (5500 64 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (5122 64 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (4682 100 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (4366 184 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (4074 64 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (2914 184 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1818 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (1626 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (1510 12 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (1354 20 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (1245 1245 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (1074 204 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (922 184 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (909 4 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (881 4 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (881 4 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (800 200 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (754 754 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (754 754 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (754 754 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (634 634 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (634 634 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (634 634 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (626 184 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (622 622 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (622 622 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (622 622 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (560 310 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (552 184 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (535 347 (:REWRITE DEFAULT-CDR))
 (490 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (464 28 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (429 429 (:TYPE-PRESCRIPTION LEN))
 (406 64 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (372 4 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (369 4 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (356 200 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (334 184 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (334 184 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (318 64 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (314 314 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (314 314 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (314 314 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (314 314 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (314 314 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (314 314 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (314 314 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (314 314 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (262 204 (:REWRITE DEFAULT-CAR))
 (244 104 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (240 240 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (240 240 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (232 232 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (224 56 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (204 204 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (200 200 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (200 200 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (200 200 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (200 200 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (184 184 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (184 184 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (184 184 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (184 184 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (184 184 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (180 15 (:DEFINITION LEN))
 (172 172 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (140 7 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (120 30 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (104 56 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (100 64 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (96 96 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (96 96 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (96 96 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (96 56 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (96 4 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (90 56 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (88 58 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (78 78 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (78 78 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (78 78 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (64 64 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (64 64 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (64 64 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (64 4 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (60 30 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (60 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (56 56 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (56 28 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (36 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (30 15 (:REWRITE DEFAULT-+-2))
 (28 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (20 20 (:REWRITE CPATH::DOM-SUBSET-BY-MULTIPLICITY))
 (20 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (20 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (20 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (20 20 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (20 20 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (16 8 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (15 15 (:REWRITE DEFAULT-+-1))
 (14 14 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (14 14 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (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))
 (8 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (8 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (8 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (8 4 (:REWRITE DEFAULT-<-2))
 (8 4 (:REWRITE DEFAULT-<-1))
 (7 7 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (7 7 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (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::SETEQUIV-IMPLIES-EQUAL-DOMINATED-BY-SOME-2
 (7373 12 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (4957 2 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (2702 52 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (2548 28 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (2278 28 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (1890 84 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (1817 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (1640 28 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (1499 28 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (1402 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (1227 84 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (1164 18 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (1062 10 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (909 4 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (881 4 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (662 662 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (490 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (433 4 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (420 84 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (416 104 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (400 24 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (389 389 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (389 389 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (389 389 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (372 4 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (369 4 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (363 108 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (314 314 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (314 314 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (314 314 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (284 284 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (284 284 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (284 284 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (275 182 (:REWRITE DEFAULT-CDR))
 (275 156 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (265 84 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (252 84 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (229 229 (:TYPE-PRESCRIPTION LEN))
 (228 104 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (195 195 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (192 48 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (180 15 (:DEFINITION LEN))
 (172 28 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (160 160 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (160 160 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (160 160 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (160 160 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (160 160 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (160 160 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (160 160 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (160 160 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (147 84 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (147 84 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (140 7 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (136 28 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (122 98 (:REWRITE DEFAULT-CAR))
 (120 30 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (108 108 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (108 48 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (104 104 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (104 104 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (104 104 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (104 104 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (96 96 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (96 4 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (84 84 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (84 84 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (84 84 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (84 84 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (84 84 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (84 84 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (84 84 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (84 84 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (84 48 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (82 48 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (78 48 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (72 72 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (64 4 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (60 30 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (54 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (48 48 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (48 24 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (44 44 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (44 44 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (44 44 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (43 28 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (36 24 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (31 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (30 15 (:REWRITE DEFAULT-+-2))
 (28 28 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (28 28 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (28 28 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (26 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (18 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (18 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (18 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (18 18 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (16 8 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (15 15 (:REWRITE DEFAULT-+-1))
 (14 14 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (14 14 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (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))
 (8 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (8 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (8 8 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (8 4 (:REWRITE DEFAULT-<-2))
 (8 4 (:REWRITE DEFAULT-<-1))
 (7 7 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (7 7 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (4 4 (:REWRITE CPATH::DOM-SUBSET-BY-MULTIPLICITY))
 (4 4 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (4 4 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (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::SETEQUIV-IMPLIES-EQUAL-STRICTLY-DOMINATED-BY-SOME-2
 (4957 2 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (3819 4 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (2676 44 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (1459 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (1290 4 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (1264 10 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (1218 16 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (1022 6 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (946 10 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (802 56 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (797 2 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (748 34 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (570 10 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (522 4 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (497 94 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (478 34 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (461 98 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (441 441 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (441 441 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (441 2 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (434 26 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (379 379 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (351 2 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (327 2 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (218 94 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (208 208 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (208 208 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (208 208 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (186 2 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (178 104 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (172 34 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (145 103 (:REWRITE DEFAULT-CDR))
 (114 114 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (114 114 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (114 114 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (108 108 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (108 108 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (108 108 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (108 108 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (108 108 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (108 108 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (108 108 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (108 108 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (102 34 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (102 34 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (98 98 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (97 97 (:TYPE-PRESCRIPTION LEN))
 (94 94 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (94 94 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (94 94 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (94 94 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (92 56 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (91 56 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (88 56 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (84 84 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (84 84 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (84 84 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (84 7 (:DEFINITION LEN))
 (78 68 (:REWRITE DEFAULT-CAR))
 (70 10 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (60 3 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (58 34 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (58 34 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (56 56 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (56 14 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (54 10 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (52 26 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (48 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (48 2 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (40 40 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (40 40 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (40 40 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME))
 (40 20 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (34 34 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (34 34 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (34 34 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (34 34 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (34 34 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (32 2 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (28 28 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (28 14 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (27 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (24 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (20 20 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (20 20 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (20 20 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (16 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (16 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (16 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (16 16 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (16 10 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (16 10 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (14 7 (:REWRITE DEFAULT-+-2))
 (10 10 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (10 10 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (10 10 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (10 10 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (8 4 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (7 7 (:REWRITE DEFAULT-+-1))
 (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-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (6 6 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (6 6 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (6 6 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (4 4 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (4 4 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (4 4 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (4 4 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (4 4 (:REWRITE CPATH::DOM-SUBSET-BY-MULTIPLICITY))
 (4 4 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (4 4 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE DEFAULT-<-1))
 (3 3 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (3 3 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (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::SETEQUIV-CONS-COMMUTE
 (125211 173 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-CONS))
 (122539 41 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (121675 833 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (110681 1554 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (93759 489 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (80734 489 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (64652 55 (:REWRITE CPATH::SETEQUIV-CONS-REDUCTION))
 (53652 3586 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (45361 489 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (36575 2963 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (34849 2255 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (27917 287 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (26010 1554 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (23431 3586 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (19674 147 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (16418 84 (:REWRITE CPATH::FIRST-DOMINATOR-CONS))
 (14746 287 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (12196 28 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (12087 2286 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (11596 11596 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (10336 2963 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (9792 107 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (9158 9158 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (8905 2173 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (8333 8333 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (8333 8333 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (7733 3586 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (7172 510 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (7022 7022 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (7022 7022 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (7022 7022 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (5986 2286 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (5845 3785 (:REWRITE DEFAULT-CDR))
 (5599 287 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (5352 3333 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (5181 5181 (:TYPE-PRESCRIPTION LEN))
 (4682 804 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (4254 107 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (3586 3586 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (3586 3586 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (3586 3586 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (3586 3586 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (3586 3586 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (3378 2173 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (3378 2173 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (3171 2963 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (2963 2963 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (2963 2963 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (2963 2963 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (2963 2963 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (2963 2963 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (2700 225 (:DEFINITION LEN))
 (2587 57 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (2485 22 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (2351 49 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (2286 2286 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2255 2255 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2248 2248 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (2248 2248 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (2248 2248 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (1896 1426 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (1859 1426 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (1798 107 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (1690 1462 (:REWRITE DEFAULT-CAR))
 (1596 450 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (1580 79 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (1554 1554 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (1432 489 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (1432 57 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (1200 1200 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1200 1200 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1200 1200 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (1094 1094 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (1018 4 (:REWRITE CPATH::DOMINATES-SOME-OF-CONS))
 (897 272 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (863 103 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (853 450 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (840 57 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (794 384 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (791 422 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (732 489 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (692 489 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (643 103 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (489 489 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (489 489 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (489 489 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (468 158 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (450 225 (:REWRITE DEFAULT-+-2))
 (442 269 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (433 272 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (360 45 (:DEFINITION TRUE-LISTP))
 (308 308 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (287 287 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (287 287 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (253 253 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (225 225 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (225 225 (:REWRITE DEFAULT-+-1))
 (186 165 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (186 165 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (180 90 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (165 165 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (165 165 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (165 165 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (158 158 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (149 103 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (148 103 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (103 103 (:REWRITE LIST::OPEN-EQUIV))
 (103 103 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (98 49 (:REWRITE DEFAULT-<-2))
 (98 49 (:REWRITE DEFAULT-<-1))
 (79 79 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (79 79 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (41 41 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (30 17 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (18 18 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (18 18 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (16 16 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 (6 6 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (6 6 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (4 2 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (4 2 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 )
(CPATH::SETEQUIV-CONS-DUPLICATE
 (552 2 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (232 16 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (228 4 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (156 4 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (96 18 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (84 84 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (70 6 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (62 62 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (62 62 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (54 18 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (34 34 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (34 34 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (34 34 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (32 20 (:REWRITE DEFAULT-CDR))
 (32 16 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (32 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (30 6 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (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 4 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (24 24 (:TYPE-PRESCRIPTION LEN))
 (24 12 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (24 12 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (20 4 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (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::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (18 18 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (18 18 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (18 18 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (16 16 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (16 16 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (16 16 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (16 12 (:REWRITE DEFAULT-CAR))
 (16 2 (:DEFINITION TRUE-LISTP))
 (14 4 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (12 12 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (12 12 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (12 12 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (12 4 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (8 8 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (8 8 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (8 6 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (8 6 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (8 4 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (8 4 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (6 6 (:REWRITE LIST::OPEN-EQUIV))
 (6 6 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (6 6 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (6 4 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (4 4 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (4 4 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (4 4 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (2 2 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::SETEQUIV-APPEND-COMMUTE
 (534542 34 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (393779 66 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (387662 1794 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (377376 3732 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (373250 210 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-APPEND))
 (340695 1580 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (286445 1580 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (234162 63676 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (185253 20355 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (176189 63676 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (148596 86 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-APPEND))
 (127352 127352 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (111776 6005 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (109066 63676 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (103396 510 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (99432 394 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (90003 360 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (86990 24 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (85832 54 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (71272 1148 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (70448 24 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (67240 41074 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (64768 32 (:REWRITE CPATH::SETEQUIV-APPEND-REDUCTION))
 (55405 394 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (49952 7884 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (47840 1048 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (47306 47306 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (41442 5682 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (40334 1148 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (28390 3958 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (24855 3564 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (23589 20355 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (22200 3852 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (21808 3564 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (19995 2579 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (19468 1148 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (19292 7884 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (16575 16575 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (15904 24 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (13563 1580 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (13514 1580 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (13367 5428 (:REWRITE DEFAULT-CDR))
 (13112 1148 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (13062 1494 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (12732 948 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (11928 3958 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (11032 1576 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (10120 394 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (7884 7884 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (7741 6005 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (7572 5682 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (7402 24 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (6983 6215 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (6914 1148 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (6914 1148 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (6808 394 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (6215 6215 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (6215 6215 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (6215 6215 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (6215 6215 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (6215 6215 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (6154 3564 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (5682 5682 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (4830 3564 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (4414 2446 (:REWRITE DEFAULT-CAR))
 (4132 4132 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (4132 4132 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (4132 4132 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (4132 4132 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (4132 4132 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (4132 4132 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (4132 4132 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (4132 4132 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (4132 514 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (3522 318 (:REWRITE BAG::SUBBAGP-OF-CDR))
 (3444 1148 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (3168 3168 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (3062 1056 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (2662 2662 (:TYPE-PRESCRIPTION LEN))
 (2506 360 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (2402 42 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (2392 180 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (2366 1076 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (2248 1494 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (2164 720 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (2112 1056 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (2022 394 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (1900 514 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1696 90 (:DEFINITION LEN))
 (1580 1580 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (1580 1580 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (1580 1580 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (1522 24 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (1410 24 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (1196 180 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1176 24 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (1162 1056 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-ONE-CHEAP))
 (1148 1148 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (1148 1148 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1148 1148 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (1148 1148 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (1148 1148 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (1056 1056 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (1056 1056 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (1056 1056 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (638 158 (:REWRITE LIST::CONSP-APPEND))
 (514 514 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (460 42 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (394 394 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (394 394 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (394 394 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (360 360 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (280 280 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (265 13 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (180 90 (:REWRITE DEFAULT-+-2))
 (139 13 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (96 48 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (90 90 (:REWRITE DEFAULT-+-1))
 (84 84 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (84 84 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (78 22 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (72 72 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (72 72 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (72 72 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (72 36 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (72 4 (:REWRITE CPATH::DOMINATES-SOME-OF-APPEND))
 (68 68 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (68 68 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (66 66 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (54 54 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (48 48 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (48 48 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (48 24 (:REWRITE DEFAULT-<-2))
 (48 24 (:REWRITE DEFAULT-<-1))
 (42 42 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (36 36 (:REWRITE LIST::CAR-APPEND-CONSP))
 (32 16 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (24 18 (:REWRITE LIST::CDR-APPEND-CONSP))
 (13 13 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (11 6 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (11 6 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (10 10 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (10 10 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 )
(CPATH::SETEQUIV-APPEND-DUPLICATE
 (124310 15 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (93187 39 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (91626 543 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (81526 81 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-APPEND))
 (78407 1190 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (76199 564 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (62902 564 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (50726 15827 (:TYPE-PRESCRIPTION LIST::APPEND-TRUE-LISTP-TYPE-PRESCRIPTION))
 (40005 15827 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (36560 6071 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (33692 123 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (31694 31694 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (28878 105 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (24623 180 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (24385 1781 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (24171 37 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-APPEND))
 (23837 377 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (22221 13 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (22199 15827 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-TWO))
 (21732 29 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (16094 117 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (15982 13 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (14426 8054 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (13125 372 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (12506 2420 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (11371 335 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (10881 10881 (:TYPE-PRESCRIPTION LIST::APPEND-CONSP-TYPE-ONE))
 (10180 1285 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (9528 15 (:REWRITE CPATH::SETEQUIV-APPEND-REDUCTION))
 (9257 1832 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (7548 6071 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (6926 828 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (6872 377 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (6255 1100 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (6086 13 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (5766 1178 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (5304 2420 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (5253 5253 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (4706 1100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (4476 377 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (4339 1640 (:REWRITE DEFAULT-CDR))
 (4194 1285 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (4031 117 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (3740 468 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (3632 564 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (3231 564 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (2758 13 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (2726 303 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (2630 1832 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (2614 516 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (2427 1781 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (2420 2420 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (2322 359 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (2322 359 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (2251 117 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (2108 1884 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (1884 1884 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (1884 1884 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (1884 1884 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (1862 1862 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1862 1862 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1832 1832 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (1496 1100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (1474 756 (:REWRITE DEFAULT-CAR))
 (1420 318 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (1409 195 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1393 1100 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (1274 1274 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1274 1274 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1274 1274 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1274 1274 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (1274 1274 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (1274 1274 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (1274 1274 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (1274 1274 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (933 23 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (917 917 (:TYPE-PRESCRIPTION LEN))
 (892 98 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (839 105 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (812 234 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (803 217 (:REWRITE BAG::SUBBAGP-WHEN-CDR-IS-NON-CONSP))
 (784 49 (:DEFINITION LEN))
 (761 516 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (757 67 (:REWRITE BAG::SUBBAGP-OF-CDR))
 (678 117 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (671 195 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (662 662 (:TYPE-PRESCRIPTION BAG::SUBBAGP))
 (656 210 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (634 13 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (589 13 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (564 564 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (564 564 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (553 553 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (446 98 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (436 13 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (434 217 (:REWRITE BAG::SUBBAGP-FROM-SUBBAGP-OF-CDR-CHEAP))
 (377 377 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (372 372 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (372 372 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (359 359 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (359 359 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (334 108 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (318 234 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (256 217 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-ONE-CHEAP))
 (234 234 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (234 56 (:REWRITE LIST::CONSP-APPEND))
 (228 228 (:META BAG::META-RULE-TO-SHOW-SUBBAGP))
 (217 217 (:REWRITE BAG::SUBBAGP-OF-NON-CONSP-TWO-CHEAP))
 (217 217 (:REWRITE BAG::BIND-SUBBAGP-REMOVE-BAG))
 (215 18 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (195 195 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (191 18 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (168 8 (:REWRITE CPATH::DOMINATES-SOME-OF-APPEND))
 (148 23 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (132 108 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (123 123 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (117 117 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (117 117 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (116 116 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (116 116 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (105 105 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (99 8 (:DEFINITION TRUE-LISTP))
 (98 49 (:REWRITE DEFAULT-+-2))
 (96 96 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (53 16 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (52 26 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (49 49 (:REWRITE DEFAULT-+-1))
 (47 18 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (47 18 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (46 46 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (46 46 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (39 39 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (39 39 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (39 39 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (39 39 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (39 18 (:REWRITE LIST::OPEN-EQUIV))
 (34 34 (:REWRITE LIST::APPEND-OF-NON-CONSP-ONE))
 (31 10 (:REWRITE LIST::APPEND-OF-NON-CONSP-2))
 (30 30 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (30 30 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (26 26 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (26 15 (:REWRITE LIST::CAR-APPEND-NOT-CONSP))
 (26 13 (:REWRITE DEFAULT-<-2))
 (26 13 (:REWRITE DEFAULT-<-1))
 (25 20 (:REWRITE LIST::CAR-APPEND-CONSP))
 (23 23 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (18 18 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (13 7 (:REWRITE LIST::CDR-APPEND-NOT-CONSP))
 (11 8 (:REWRITE LIST::CDR-APPEND-CONSP))
 )
(CPATH::SETEQUIV-SUBHYPS)
(CPATH::SETEQUIV-LHS)
(CPATH::SETEQUIV-RHS)
(CPATH::SETEQUIV-MULTIPLICITY-CONSTRAINT)
(CPATH::BADGUY
 (8 8 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 )
(CPATH::BADGUY-WITNESS-1
 (52569 727 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (37554 93 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (31280 231 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (27047 1161 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (24970 231 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (22725 136 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (19457 1151 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (19035 248 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (15978 56 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (15503 2562 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (12636 56 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (11804 47 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (10071 56 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (8743 8743 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (7941 469 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (6434 1138 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (6054 1161 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (5864 1454 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (5757 24 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (5616 5424 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (5373 85 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (5259 5079 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (5183 56 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (5160 250 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (5139 5079 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (5000 248 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (4516 4378 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (4432 4378 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (4407 2562 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (4311 506 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (4114 1454 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (4065 2562 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (4046 1454 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (3930 2439 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (3772 934 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (3564 2376 (:REWRITE DEFAULT-CDR))
 (3546 1138 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (3299 1161 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (3086 3086 (:TYPE-PRESCRIPTION LEN))
 (2835 1151 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (2784 230 (:DEFINITION LEN))
 (2562 2562 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (2562 2562 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (2562 2562 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (2562 2562 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (2562 2562 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (2426 1454 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (1889 1138 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1889 1138 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1837 934 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (1807 460 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (1706 82 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (1593 934 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (1532 1292 (:REWRITE DEFAULT-CAR))
 (1527 934 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (1491 934 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (1459 1399 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (1454 1454 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (1454 1454 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (1454 1454 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1454 1454 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1420 56 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (1399 1399 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (1399 1399 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (1340 248 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (1161 1161 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1151 1151 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (972 972 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (926 44 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (924 460 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (912 438 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (860 56 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (792 738 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (744 738 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (706 706 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (655 231 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (472 164 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (460 230 (:REWRITE DEFAULT-+-2))
 (420 231 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (382 241 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (381 243 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (351 231 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (319 231 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (299 23 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (248 248 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (241 241 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (231 231 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (231 231 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (231 231 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (230 230 (:REWRITE DEFAULT-+-1))
 (184 23 (:DEFINITION TRUE-LISTP))
 (166 84 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (164 164 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (156 156 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (156 156 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (156 156 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (123 123 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (115 115 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (100 82 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (93 93 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (92 46 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (88 44 (:REWRITE DEFAULT-<-2))
 (88 44 (:REWRITE DEFAULT-<-1))
 (86 23 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (82 82 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (46 23 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (46 23 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (34 34 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (34 34 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (34 34 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (24 24 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 (24 24 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (23 23 (:REWRITE LIST::OPEN-EQUIV))
 (23 23 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (12 8 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (12 8 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (8 8 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (8 8 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (3 3 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-ID))
 (2 2 (:REWRITE BAG::DUMB))
 )
(CPATH::SETEQUIV-BY-MULTIPLICITY-DRIVER
 (69014 76 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (36200 14 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (31534 550 (:DEFINITION CPATH::STRICTLY-DOMINATED-BY-SOME))
 (29696 12 (:DEFINITION CPATH::BADGUY))
 (25610 76 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (23896 190 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (21242 178 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (17908 190 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (16932 178 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (15648 90 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (14968 12 (:REWRITE CPATH::BADGUY-WITNESS-1))
 (14924 680 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (14612 38 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (10830 190 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (9576 680 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (9130 38 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (8136 38 (:REWRITE CPATH::NOT-DOMINATES-FROM-<-OF-LEN-AND-LEN))
 (6012 6012 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (5892 356 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (4962 38 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (4400 1100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CDR))
 (4068 4068 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (4068 4068 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-1))
 (3534 38 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (3496 3496 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (3496 3496 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (3496 3496 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES))
 (3452 680 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (3430 38 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (2848 712 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-WHEN-DIVERGES-FROM-ALL))
 (2840 1746 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (2822 1100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (2290 2290 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (2290 2290 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (2290 2290 (:TYPE-PRESCRIPTION CPATH::DOMINATES))
 (2280 1566 (:REWRITE DEFAULT-CDR))
 (2232 1100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (2040 680 (:REWRITE CPATH::DOMINATES-SAME-LEN-CHEAP))
 (2002 680 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (1884 1884 (:TYPE-PRESCRIPTION LEN))
 (1762 712 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (1754 1754 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (1754 1754 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (1754 1754 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (1754 1754 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (1754 1754 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (1754 1754 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (1754 1754 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (1754 1754 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (1530 76 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-WEAKER))
 (1488 124 (:DEFINITION LEN))
 (1400 1100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (1330 190 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (1324 712 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (1202 712 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (1150 960 (:REWRITE DEFAULT-CAR))
 (1146 680 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1146 680 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1144 712 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (1100 1100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (1100 1100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (1100 1100 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1100 1100 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1068 1068 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (1068 1068 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-1))
 (1068 1068 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (1026 190 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (992 248 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (960 48 (:LINEAR LIST::LEN-NON-NEGATIVE-LINEAR))
 (912 38 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (880 880 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (760 760 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (760 380 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (712 356 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (680 680 (:REWRITE CPATH::LINEAR-DOMINATION-HIERARCHY))
 (680 680 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (680 680 (:REWRITE CPATH::DOMINATES-TRANSITIVE-TWO))
 (680 680 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (680 680 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (608 38 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (534 178 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (532 532 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (496 248 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (396 396 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (396 396 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (396 396 (:TYPE-PRESCRIPTION CPATH::DIVERGE))
 (312 178 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (304 190 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (298 190 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (254 178 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (248 124 (:REWRITE DEFAULT-+-2))
 (190 190 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (190 190 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (190 190 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (178 178 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (178 178 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (178 178 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (178 178 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (152 76 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (124 124 (:REWRITE DEFAULT-+-1))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (114 114 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (114 114 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (114 114 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (96 96 (:LINEAR CPATH::LEN-WHEN-STRICTLY-DOMINATED))
 (96 96 (:LINEAR CPATH::LEN-WHEN-DOMINATED))
 (76 76 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (76 76 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (76 38 (:REWRITE DEFAULT-<-2))
 (76 38 (:REWRITE DEFAULT-<-1))
 (48 48 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (48 48 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (28 28 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (28 28 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (8 8 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 )
(CPATH::ADVISER-SETEQUIV-TRIGGER)
(CPATH::SETEQUIV-BY-MULTIPLICITY-ANY)
(CPATH::SETEQUIV-BY-MULTIPLICITY)
(CPATH::PATH-REMOVE
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (5 5 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 )
(CPATH::DOMINATED-BY-SOME-REMOVE
 (100065 313 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-DOMINATED))
 (95774 313 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-ALT))
 (79488 1239 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-2))
 (78346 61 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (78187 17 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-CONS))
 (73802 313 (:REWRITE CPATH::DIVERGES-FROM-WHEN-NOT-STRICTLY-DOMINATED-BY-SOME-AND-NOT-DOMINATES-SOME))
 (52013 2457 (:REWRITE CPATH::DOMINATES-ASYMMETRIC))
 (48059 3206 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (44071 327 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (38278 3207 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (36444 724 (:REWRITE CPATH::FIRST-DOMINATOR-OF-CDR))
 (36265 2257 (:REWRITE CPATH::STRICTLY-DOMINATES-IMPLIES-DOMINATES))
 (35066 103 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-CDR))
 (34562 330 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (28786 237 (:REWRITE CPATH::DIVERGES-OF-CDR-BY-DIVERGES-FROM-ALL))
 (22774 123 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (16715 24 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (16549 327 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (13138 123 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (12925 12925 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (12296 2462 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (9652 9652 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (9652 9652 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (9291 311 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (8915 3206 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (7963 2140 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (7666 1228 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (6998 6998 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (6998 6998 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (6306 10 (:REWRITE CPATH::FIRST-DOMINATOR-CONS))
 (6192 516 (:DEFINITION LEN))
 (6149 2457 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (6036 3817 (:REWRITE DEFAULT-CDR))
 (5697 107 (:REWRITE CPATH::LENS-<-WHEN-DOMINATES-BUT-NOT-CONG))
 (5692 105 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (4865 4865 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (4660 3037 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (4349 1239 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (3899 1032 (:REWRITE LIST::LEN-WHEN-AT-MOST-1))
 (3376 793 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (3369 2140 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (3348 2140 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (3207 3207 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-2))
 (3206 3206 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (3206 3206 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (3206 3206 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (3206 3206 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (3079 793 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (2808 107 (:REWRITE CPATH::LEN-SMALLER-WHEN-STRICTLY-DOMINATED))
 (2562 107 (:REWRITE CPATH::LEN-SMALLER-WHEN-DOMINATED))
 (2457 2457 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (2257 2257 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (2019 1032 (:REWRITE LIST::LEN-OF-NON-CONSP))
 (1893 327 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (1867 307 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (1807 4 (:REWRITE CPATH::SETEQUIV-CONS-REDUCTION))
 (1634 1634 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (1634 1634 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (1615 1312 (:REWRITE DEFAULT-CAR))
 (1446 1446 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL-TYPE-2))
 (1443 1443 (:TYPE-PRESCRIPTION CPATH::DIVERGES-FROM-ALL))
 (1361 876 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (1292 1292 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (1239 1239 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (1239 1239 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (1238 1238 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (1225 771 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (1083 771 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (1074 307 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (1040 130 (:DEFINITION TRUE-LISTP))
 (1032 516 (:REWRITE DEFAULT-+-2))
 (915 313 (:REWRITE CPATH::DIVERGES-FROM-ALL-WHEN-NO-DOMINATION-CHEAP))
 (792 333 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (757 333 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (650 650 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (627 312 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (580 308 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (520 260 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (516 516 (:REWRITE DEFAULT-+-1))
 (516 323 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (498 313 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-ONE))
 (498 307 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (495 312 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (437 307 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (363 313 (:REWRITE CPATH::DIVERGES-FROM-ALL-OF-NON-CONSP-TWO))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (333 333 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (333 333 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (333 333 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (332 332 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (327 327 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (327 327 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (313 313 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-TWO))
 (313 313 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-SUBBAGP-ONE))
 (313 313 (:REWRITE CPATH::DIVERGES-FROM-ALL-BY-MEMBERSHIP))
 (307 307 (:REWRITE LIST::OPEN-EQUIV))
 (307 307 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (305 305 (:TYPE-PRESCRIPTION CPATH::ALL-DOMINATED-BY-SOME))
 (202 101 (:REWRITE DEFAULT-<-2))
 (202 101 (:REWRITE DEFAULT-<-1))
 (200 200 (:LINEAR LIST::LEN-WHEN-CONSP-LINEAR))
 (200 200 (:LINEAR SYN::LEN-IMPLIES-ACL2-LEN))
 (169 169 (:REWRITE CPATH::STRICTLY-DOMINATES-IRREFLEXIVE))
 (122 122 (:REWRITE CPATH::DOM-SUBSET-BY-MULTIPLICITY))
 (122 122 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (122 122 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (36 20 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-TWO))
 (34 34 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME))
 (28 28 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-2))
 (28 28 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME-TYPE-1))
 (28 28 (:TYPE-PRESCRIPTION CPATH::DOMINATES-SOME))
 (16 16 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 (8 6 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-TWO))
 (8 6 (:REWRITE CPATH::DOMINATES-SOME-NON-CONSP-ONE))
 (6 6 (:REWRITE CPATH::NOT-DOMINATES-SOME-BY-MEMBERSHIP))
 (6 6 (:REWRITE CPATH::DOMINATES-SOME-BY-MEMBERSHIP))
 (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::STRICTLY-DOMINATED-BY-SOME-REMOVE
 (30416 289 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-1))
 (27485 49 (:DEFINITION CPATH::DOMINATED-BY-SOME))
 (24054 124 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CDR))
 (21878 13 (:REWRITE CPATH::DOMINATED-BY-SOME-REMOVE))
 (18088 135 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-CAR-DOMINATES))
 (10689 12 (:DEFINITION CPATH::ALL-DOMINATED-BY-SOME))
 (10141 272 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-DOMINATES-1))
 (8880 124 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-IMPLIES-DOMINATED-BY-SOME))
 (6774 6774 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-2))
 (6774 6774 (:TYPE-PRESCRIPTION CPATH::DOMINATES-TYPE-1))
 (6563 1400 (:REWRITE CPATH::DOMINATES-WHEN-NOT-DIVERGE-AND-NOT-DOMINATES-CHEAP))
 (6506 271 (:REWRITE CPATH::LINEAR-STRICT-DOMINATION-HIERARCHY))
 (5911 1335 (:REWRITE CPATH::DOMINATES-TRANSITIVE-ONE))
 (4645 5 (:REWRITE CPATH::SETEQUIV-CONS-REDUCTION))
 (4187 271 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-1))
 (3038 1400 (:REWRITE CPATH::DOMINATES-OF-SINGLETON-TWO))
 (2943 2943 (:REWRITE CPATH::NOT-CONSP-WHEN-MEMBER-OF-NO-CONSES))
 (2686 2686 (:TYPE-PRESCRIPTION LEN))
 (1842 1335 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-TWO))
 (1841 1335 (:REWRITE CPATH::DOMINATES-OF-NON-CONSP-ONE))
 (1624 47 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-CAR/CDR))
 (1567 1567 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATED-BY-SOME-TYPE-2))
 (1521 888 (:REWRITE DEFAULT-CDR))
 (1400 1400 (:REWRITE CPATH::FIRST-DOMINATOR-DOMINATES-FREE))
 (1382 1382 (:REWRITE CPATH::DOMINATES-FROM-DOMINATES-OF-NTHCDR-ETC))
 (1354 43 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-ONE))
 (1305 43 (:REWRITE CPATH::NOT-DOMINATES-FROM-DIVERGE-TWO))
 (1268 124 (:REWRITE CPATH::DOMINATED-BY-SOME-WHEN-FIRST-DOMINATOR-NIL))
 (1211 283 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-CAR))
 (951 37 (:REWRITE CPATH::DIVERGE-SYMMETRIC))
 (822 822 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-2))
 (822 822 (:TYPE-PRESCRIPTION CPATH::DIVERGE-TYPE-1))
 (791 32 (:REWRITE CPATH::STRICTLY-DOMINATES-ASYMMETRIC))
 (779 779 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-2))
 (779 779 (:TYPE-PRESCRIPTION CPATH::STRICTLY-DOMINATES-TYPE-1))
 (711 271 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-DOMINATES-STRICTLY-DOMINATES-2))
 (693 271 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-TWO))
 (644 244 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-CAR-DOMINATES))
 (642 124 (:REWRITE CPATH::FIRST-DOMINATOR-IMPLIES-DOMINATED-BY-SOME))
 (541 120 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO-ALT))
 (535 55 (:REWRITE LIST::EQUIV-OF-TWO-TRUE-LISTPS))
 (518 6 (:REWRITE CPATH::FIRST-DOMINATOR-CONS))
 (492 382 (:REWRITE DEFAULT-CAR))
 (472 472 (:TYPE-PRESCRIPTION CPATH::FIRST-DOMINATOR-TYPE-1))
 (454 120 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE-ALT))
 (423 423 (:TYPE-PRESCRIPTION CPATH::DOMINATED-BY-SOME-TYPE-1))
 (397 257 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-ONE))
 (320 40 (:DEFINITION TRUE-LISTP))
 (289 289 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICTLY-DOMINATED-DOMINATED-BY-SOME-2))
 (289 289 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-FROM-STRICLTY-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME-1))
 (289 289 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (289 289 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (271 271 (:REWRITE CPATH::STRICTLY-DOMINATES-TRANSITIVE-ONE))
 (271 271 (:REWRITE CPATH::STRICTLY-DOMINATES-FROM-STRICTLY-DOMINATES-OF-NTHCDR-ETC))
 (238 120 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-CAR))
 (228 117 (:REWRITE CPATH::FIRST-DOMINATOR-OF-NON-CONSP-TWO))
 (200 200 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (185 120 (:REWRITE CPATH::DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (166 55 (:REWRITE CPATH::FIRST-DOMINATOR-WHEN-P-DOMINATES-IT-YUCK))
 (160 80 (:REWRITE LIST::TRUE-LISTP-OF-NON-CONSP))
 (135 135 (:REWRITE CPATH::DOMINATED-BY-SOME-FROM-DOMINATED-BY-SOME-ALL-DOMINATED-BY-SOME))
 (124 124 (:REWRITE CPATH::NOT-DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (124 124 (:REWRITE CPATH::DOMINATED-BY-SOME-BY-MEMBERSHIP))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-TWO))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE-FROM-ALL-ONE))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERS-OF-ALL-DIVERGE))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-TWO))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-THREE))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-ONE))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-MEMBERP-AND-DIVERGES-FROM-ALL-FOUR))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-FIRSTNS-DIVERGE))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-TWO))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-DIVERGE-WITH-DOMINATOR-ONE))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP-ALT))
 (120 120 (:REWRITE CPATH::DIVERGE-WHEN-ALL-DIVERGE-FROM-ALL-AND-MEMBERP-AND-MEMBERP))
 (120 120 (:REWRITE CPATH::DIVERGE-FROM-ALL-DIVERGE-AND-UNIQUE-MEMBERPS))
 (120 120 (:META CPATH::META-RULE-TO-SHOW-DIVERGE))
 (104 55 (:REWRITE LIST::EQUIV-OF-NON-CONSP-TWO))
 (95 55 (:REWRITE LIST::EQUIV-OF-NON-CONSP-ONE))
 (70 36 (:REWRITE CPATH::STRICTLY-DOMINATED-BY-SOME-OF-NON-CONSP-ONE))
 (55 55 (:REWRITE LIST::OPEN-EQUIV))
 (55 55 (:REWRITE LIST::EQUIV-OF-CONSTANT))
 (50 31 (:REWRITE CPATH::STRICTLY-DOMINATES-OF-NON-CONSP-TWO))
 (47 47 (:REWRITE CPATH::NOT-STRICTLY-DOMINATED-BY-SOME-FROM-WEAKER))
 (24 24 (:REWRITE CPATH::DOM-SUBSET-BY-MULTIPLICITY))
 (24 24 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-2))
 (24 24 (:REWRITE CPATH::ALL-DOMINATED-BY-SOME-CHAINING-1))
 (19 19 (:REWRITE CAR-CONS))
 (4 4 (:REWRITE CPATH::DIVERGE-IRREFLEXIVE))
 (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))
 )
