(MEMBER-GEN)
(MEMBER-GEN-WHEN-NOT-CONS)
(MEMBER-GEN-OF-CONSP
 (6 6 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(SUBSET)
(SUBSET-WHEN-NOT-CONS)
(SUBSET-OF-CONSP
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 (5 5 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(GET-SUBSETS)
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(GET-SUBSETS-OF-CONSP
 (15 15 (:REWRITE GET-SUBSETS-WHEN-NOT-CONS))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE SUBSET-WHEN-NOT-CONS))
 )
(GET-NON-SUBSETS)
(GET-NON-SUBSETS-WHEN-NOT-CONS)
(GET-NON-SUBSETS-OF-CONSP
 (15 15 (:REWRITE GET-NON-SUBSETS-WHEN-NOT-CONS))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE SUBSET-WHEN-NOT-CONS))
 )
(DIFFERENCE)
(DIFFERENCE-WHEN-NOT-CONS)
(DIFFERENCE-OF-CONS
 (15 15 (:REWRITE DIFFERENCE-WHEN-NOT-CONS))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 )
(SUBSET-LIST)
(SUBSET-LIST-WHEN-NOT-CONSP)
(SUBSET-LIST-OF-CONS
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 (5 5 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(INTERSECT)
(INTERSECT-WHEN-NOT-CONSP)
(INTERSECT-OF-CONSP
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 (5 5 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(NO-CONFLICTS)
(NO-CONFLICTS-WHEN-NOT-CONSP)
(NO-CONFLICTS-OF-CONSP
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 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (7 7 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 )
(NO-CONFLICTS-LIST)
(NO-CONFLICTS-LIST-WHEN-NOT-CONSP)
(NO-CONFLICTS-LIST-OF-CONSP
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 (6 6 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE NO-CONFLICTS-WHEN-NOT-CONSP))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(DISJOINT-LIST)
(DISJOINT-LIST-WHEN-NOT-CONSP)
(DISJOINT-LIST-OF-CONSP
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 (5 5 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(DISJOINT-LISTS)
(DISJOINT-LISTS-WHEN-NOT-CONSP)
(DISJOINT-LISTS-OF-CONSP
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 (5 5 (:REWRITE DISJOINT-LIST-WHEN-NOT-CONSP))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(NO-DUPS-GEN)
(NO-DUPS-WHEN-NOT-CONSP)
(NO-DUPS-OF-CONSP
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 (6 6 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(MEMBER-1-MEMBER-APPEND
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 (21 21 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (5 5 (:REWRITE DEFAULT-CDR))
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(NO-DUPS-APPEND-GIVES-1
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 (57 12 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (39 39 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (39 39 (:TYPE-PRESCRIPTION BINARY-APPEND))
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 (14 14 (:REWRITE DEFAULT-CDR))
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(NO-DUPS-APPEND-GIVES-2
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 (30 15 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (8 8 (:REWRITE NO-DUPS-APPEND-GIVES-1))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 1 (:REWRITE MEMBER-1-MEMBER-APPEND))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(MEMBER-DIFFERENCE-MEMBER
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 (2 2 (:REWRITE DEFAULT-CDR))
 )
(MEMBER-GEN-DIFFERENCE
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 (8 8 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
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 (48 24 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (24 24 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (10 10 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (6 6 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-APPEND-GIVES-2
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 (24 12 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (12 12 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (12 12 (:TYPE-PRESCRIPTION BINARY-APPEND))
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 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (1 1 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 )
(MEMBER-2-MEMBER-APPEND
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 (24 12 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (16 4 (:REWRITE MEMBER-1-MEMBER-APPEND))
 (14 14 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (12 12 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (12 12 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-GIVES-SUBSET-OF-APPEND-1
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 (57 19 (:DEFINITION BINARY-APPEND))
 (36 18 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
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 (25 25 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (25 25 (:REWRITE DEFAULT-CAR))
 (22 22 (:REWRITE SUBSET-APPEND-GIVES-2))
 (22 22 (:REWRITE SUBSET-APPEND-GIVES-1))
 (21 21 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (21 21 (:REWRITE DEFAULT-CDR))
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 (61 7 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (57 19 (:DEFINITION BINARY-APPEND))
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 (35 35 (:REWRITE SUBSET-APPEND-GIVES-1))
 (33 33 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (25 25 (:REWRITE DEFAULT-CAR))
 (24 6 (:REWRITE MEMBER-1-MEMBER-APPEND))
 (21 21 (:REWRITE DEFAULT-CDR))
 (20 20 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (18 18 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (18 18 (:TYPE-PRESCRIPTION BINARY-APPEND))
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(SUBSET-SAME-MEMBERS
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 (27 27 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (10 10 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (10 10 (:REWRITE SUBSET-APPEND-GIVES-2))
 (10 10 (:REWRITE SUBSET-APPEND-GIVES-1))
 (6 6 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(NOT-MEMBER-SUBSET)
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 (192 96 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (148 7 (:REWRITE SUBSET-OF-CONSP))
 (112 13 (:REWRITE SUBSET-GIVES-SUBSET-OF-APPEND-2))
 (103 103 (:REWRITE SUBSET-APPEND-GIVES-2))
 (103 103 (:REWRITE SUBSET-APPEND-GIVES-1))
 (96 96 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (96 96 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (94 13 (:REWRITE SUBSET-GIVES-SUBSET-OF-APPEND-1))
 (91 28 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (43 43 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (15 15 (:REWRITE DEFAULT-CAR))
 (13 9 (:REWRITE MEMBER-2-MEMBER-APPEND))
 (7 7 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-TRANSITIVE
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 (31 31 (:REWRITE SUBSET-APPEND-GIVES-1))
 (30 30 (:REWRITE SUBSET-WHEN-NOT-CONS))
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 (7 7 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (6 6 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-CONS
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 (84 84 (:REWRITE SUBSET-APPEND-GIVES-2))
 (84 84 (:REWRITE SUBSET-APPEND-GIVES-1))
 (78 78 (:REWRITE SUBSET-WHEN-NOT-CONS))
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 (19 19 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (19 19 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE NOT-MEMBER-SUBSET))
 (11 11 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (6 6 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-X-X
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 (10 10 (:REWRITE SUBSET-APPEND-GIVES-2))
 (10 10 (:REWRITE SUBSET-APPEND-GIVES-1))
 (8 8 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (8 8 (:REWRITE SUBSET-SAME-MEMBERS))
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 (4 4 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (4 4 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-CONS-IDENTITY)
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 (31 31 (:REWRITE SUBSET-APPEND-GIVES-1))
 (24 24 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (8 8 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE SUBSET-SAME-MEMBERS))
 (7 7 (:REWRITE NOT-MEMBER-SUBSET))
 (7 7 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (7 7 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
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 (22 22 (:REWRITE SUBSET-APPEND-GIVES-2))
 (22 22 (:REWRITE SUBSET-APPEND-GIVES-1))
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 (21 21 (:REWRITE DEFAULT-CDR))
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 (21 21 (:REWRITE SUBSET-APPEND-GIVES-2))
 (21 21 (:REWRITE SUBSET-APPEND-GIVES-1))
 (21 21 (:REWRITE DEFAULT-CDR))
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(SUBSET-LIST-CONS
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 (13 13 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (13 13 (:REWRITE SUBSET-TRANSITIVE))
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 (13 13 (:REWRITE SUBSET-APPEND-GIVES-1))
 (6 6 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-LIST-GET-SUBSETS-X
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 (7 7 (:REWRITE SUBSET-APPEND-GIVES-2))
 (7 7 (:REWRITE SUBSET-APPEND-GIVES-1))
 (4 4 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-LIST-GET-SUBSETS-EQUAL
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 (9 9 (:REWRITE SUBSET-APPEND-GIVES-2))
 (9 9 (:REWRITE SUBSET-APPEND-GIVES-1))
 (8 8 (:REWRITE DEFAULT-CDR))
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 )
(NON-SUBSETS-NIL
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 (16 16 (:REWRITE SUBSET-APPEND-GIVES-1))
 (8 8 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-LIST-SUBSET
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 (16 16 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (16 16 (:REWRITE SUBSET-APPEND-GIVES-2))
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 (6 6 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
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(SUBSET-SUBSET-DIFFERENCE
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 (12 12 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
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 (8 8 (:REWRITE DEFAULT-CAR))
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 )
(SUBSET-APPEND-DIFFERENCE
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 (1 1 (:REWRITE SUBSET-TRANSITIVE))
 (1 1 (:REWRITE SUBSET-APPEND-GIVES-2))
 (1 1 (:REWRITE SUBSET-APPEND-GIVES-1))
 (1 1 (:REWRITE DIFFERENCE-WHEN-NOT-CONS))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(DIFFERENCE-NOT-MEMBER
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 (10 1 (:REWRITE SUBSET-OF-CONSP))
 (8 8 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE SUBSET-TRANSITIVE))
 (7 7 (:REWRITE SUBSET-APPEND-GIVES-2))
 (7 7 (:REWRITE SUBSET-APPEND-GIVES-1))
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 (75 21 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (57 57 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (22 22 (:REWRITE DEFAULT-CAR))
 (22 6 (:REWRITE MEMBER-2-MEMBER-APPEND))
 (18 18 (:REWRITE NO-DUPS-APPEND-GIVES-2))
 (18 18 (:REWRITE NO-DUPS-APPEND-GIVES-1))
 (14 14 (:REWRITE DEFAULT-CDR))
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 (8 8 (:REWRITE SUBSET-APPEND-GIVES-2))
 (8 8 (:REWRITE SUBSET-APPEND-GIVES-1))
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 (28 28 (:REWRITE SUBSET-TRANSITIVE))
 (28 28 (:REWRITE SUBSET-APPEND-GIVES-2))
 (28 28 (:REWRITE SUBSET-APPEND-GIVES-1))
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 (7 1 (:REWRITE SUBSET-CONS))
 (6 6 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(INTERSECT-SUBSET
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 (28 28 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (28 28 (:REWRITE SUBSET-APPEND-GIVES-2))
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 (2 2 (:REWRITE DEFAULT-CDR))
 )
(INTERSECT-CONS
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 (31 31 (:REWRITE INTERSECT-SUBSET))
 (30 30 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 (14 14 (:REWRITE DEFAULT-CAR))
 (9 9 (:REWRITE SUBSET-SAME-MEMBERS))
 (9 9 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
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 (2 2 (:REWRITE DEFAULT-CDR))
 )
(INTERSECT-COMMUTATIVE
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 (13 13 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (9 9 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
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 (5 5 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (5 5 (:REWRITE SUBSET-TRANSITIVE))
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 (5 5 (:REWRITE SUBSET-APPEND-GIVES-1))
 (3 3 (:REWRITE DEFAULT-CDR))
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(INTERSECT-SUBSET-INTERSECT
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 (15 15 (:REWRITE SUBSET-WHEN-NOT-CONS))
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 (6 6 (:REWRITE DEFAULT-CAR))
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 (2 2 (:REWRITE DEFAULT-CDR))
 )
(DISJOINT-NIL
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 (39 19 (:REWRITE INTERSECT-SUBSET-INTERSECT))
 (19 19 (:REWRITE MEMBER-GEN-INTERSECT))
 (19 19 (:REWRITE INTERSECT-SUBSET))
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 (7 1 (:REWRITE INTERSECT-CONS))
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 (3 3 (:TYPE-PRESCRIPTION SUBSET))
 (2 2 (:REWRITE SUBSET-TRANSITIVE))
 (2 2 (:REWRITE SUBSET-APPEND-GIVES-2))
 (2 2 (:REWRITE SUBSET-APPEND-GIVES-1))
 (2 2 (:REWRITE NOT-MEMBER-SUBSET))
 (1 1 (:REWRITE SUBSET-X-X))
 (1 1 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(NOT-INTERSECT-COMMUTATIVE
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 )
(NOT-INTERSECT-SUBSETS
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 )
(DISJOINT-NO-CONFLICTS
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 (165 44 (:REWRITE INTERSECT-COMMUTATIVE))
 (44 44 (:REWRITE MEMBER-GEN-INTERSECT))
 (44 44 (:REWRITE INTERSECT-SUBSET-INTERSECT))
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 (6 6 (:REWRITE SUBSET-WHEN-NOT-CONS))
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 (129 129 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (56 56 (:TYPE-PRESCRIPTION DISJOINT-LIST))
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 (36 36 (:REWRITE INTERSECT-SUBSET-INTERSECT))
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 (11 11 (:REWRITE SUBSET-APPEND-GIVES-1))
 (11 11 (:REWRITE DEFAULT-CDR))
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 (191 21 (:REWRITE SUBSET-LIST-NO-CONFLICTS))
 (158 20 (:REWRITE DISJOINT-NO-CONFLICTS))
 (123 123 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (123 123 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (120 30 (:REWRITE SUBSET-LIST-WHEN-NOT-CONSP))
 (101 20 (:REWRITE NO-CONFLICTS-WHEN-NOT-CONSP))
 (101 20 (:REWRITE DISJOINT-LIST-WHEN-NOT-CONSP))
 (60 60 (:TYPE-PRESCRIPTION SUBSET-LIST))
 (51 11 (:REWRITE SUBSET-LIST-NO-CONFLICTS-APPEND))
 (30 30 (:REWRITE SUBSET-LIST-SUBSET))
 (20 20 (:REWRITE DEFAULT-CDR))
 (19 19 (:REWRITE DEFAULT-CAR))
 )
(NO-CONFLICTS-GET-SUBSETS
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 (228 6 (:REWRITE DISJOINT-LIST-OF-CONSP))
 (113 10 (:REWRITE SUBSET-LIST-OF-CONS))
 (100 20 (:REWRITE NOT-INTERSECT-COMMUTATIVE))
 (98 98 (:TYPE-PRESCRIPTION DISJOINT-LIST))
 (85 30 (:REWRITE INTERSECT-COMMUTATIVE))
 (82 82 (:REWRITE SUBSET-LIST-SUBSET))
 (49 49 (:REWRITE DISJOINT-LIST-WHEN-NOT-CONSP))
 (43 43 (:REWRITE NO-CONFLICTS-WHEN-NOT-CONSP))
 (33 33 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (33 33 (:REWRITE SUBSET-APPEND-GIVES-2))
 (33 33 (:REWRITE SUBSET-APPEND-GIVES-1))
 (30 30 (:REWRITE MEMBER-GEN-INTERSECT))
 (30 30 (:REWRITE INTERSECT-SUBSET-INTERSECT))
 (30 30 (:REWRITE INTERSECT-SUBSET))
 (20 20 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 (18 18 (:REWRITE GET-SUBSETS-WHEN-NOT-CONS))
 (8 8 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(NO-CONFLICTS-LIST-SUBSETS
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 (16 16 (:REWRITE GET-SUBSETS-WHEN-NOT-CONS))
 (13 2 (:REWRITE SUBSET-LIST-OF-CONS))
 (12 12 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (12 12 (:REWRITE SUBSET-APPEND-GIVES-2))
 (12 12 (:REWRITE SUBSET-APPEND-GIVES-1))
 (10 2 (:REWRITE SUBSET-LIST-NO-CONFLICTS))
 (8 8 (:REWRITE DEFAULT-CAR))
 (8 2 (:REWRITE DISJOINT-NO-CONFLICTS))
 (4 4 (:TYPE-PRESCRIPTION DISJOINT-LIST))
 (4 4 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE NO-CONFLICTS-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DISJOINT-LIST-WHEN-NOT-CONSP))
 )
(NO-CONFLICTS-GET-NON-SUBSETS
 (412 49 (:REWRITE DISJOINT-NO-CONFLICTS))
 (228 6 (:REWRITE DISJOINT-LIST-OF-CONSP))
 (100 20 (:REWRITE NOT-INTERSECT-COMMUTATIVE))
 (98 98 (:TYPE-PRESCRIPTION DISJOINT-LIST))
 (85 30 (:REWRITE INTERSECT-COMMUTATIVE))
 (69 6 (:REWRITE SUBSET-LIST-OF-CONS))
 (57 57 (:REWRITE SUBSET-LIST-SUBSET))
 (49 49 (:REWRITE DISJOINT-LIST-WHEN-NOT-CONSP))
 (43 43 (:REWRITE NO-CONFLICTS-WHEN-NOT-CONSP))
 (30 30 (:REWRITE MEMBER-GEN-INTERSECT))
 (30 30 (:REWRITE INTERSECT-SUBSET-INTERSECT))
 (30 30 (:REWRITE INTERSECT-SUBSET))
 (29 29 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (29 29 (:REWRITE SUBSET-APPEND-GIVES-2))
 (29 29 (:REWRITE SUBSET-APPEND-GIVES-1))
 (20 20 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(NO-CONFLICTS-LIST-NON-SUBSETS
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 (11 11 (:REWRITE SUBSET-APPEND-GIVES-2))
 (11 11 (:REWRITE SUBSET-APPEND-GIVES-1))
 (10 2 (:REWRITE SUBSET-LIST-NO-CONFLICTS))
 (8 8 (:REWRITE DEFAULT-CAR))
 (8 2 (:REWRITE DISJOINT-NO-CONFLICTS))
 (4 4 (:TYPE-PRESCRIPTION SUBSET-LIST))
 (4 4 (:TYPE-PRESCRIPTION DISJOINT-LIST))
 (4 4 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE SUBSET-LIST-WHEN-NOT-CONSP))
 (2 2 (:REWRITE SUBSET-LIST-SUBSET))
 (2 2 (:REWRITE NO-CONFLICTS-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DISJOINT-LIST-WHEN-NOT-CONSP))
 )
(SUBSET-NOT-DISJOINT-INTERSECT
 (224 16 (:REWRITE NOT-INTERSECT-COMMUTATIVE))
 (180 44 (:REWRITE INTERSECT-COMMUTATIVE))
 (112 44 (:REWRITE INTERSECT-SUBSET))
 (44 44 (:REWRITE MEMBER-GEN-INTERSECT))
 (44 44 (:REWRITE INTERSECT-SUBSET-INTERSECT))
 (16 16 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 (15 15 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (15 15 (:REWRITE SUBSET-TRANSITIVE))
 (15 15 (:REWRITE SUBSET-APPEND-GIVES-2))
 (15 15 (:REWRITE SUBSET-APPEND-GIVES-1))
 (11 11 (:REWRITE DISJOINT-LIST-WHEN-NOT-CONSP))
 (9 9 (:REWRITE SUBSET-LIST-WHEN-NOT-CONSP))
 (9 9 (:REWRITE SUBSET-LIST-SUBSET))
 (6 6 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-DISJOINT-DISJOINT
 (192 18 (:REWRITE NOT-INTERSECT-COMMUTATIVE))
 (153 36 (:REWRITE INTERSECT-COMMUTATIVE))
 (36 36 (:REWRITE MEMBER-GEN-INTERSECT))
 (36 36 (:REWRITE INTERSECT-SUBSET-INTERSECT))
 (36 36 (:REWRITE INTERSECT-SUBSET))
 (21 21 (:REWRITE SUBSET-LIST-WHEN-NOT-CONSP))
 (21 21 (:REWRITE SUBSET-LIST-SUBSET))
 (18 18 (:REWRITE NOT-INTERSECT-SUBSETS))
 (18 18 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 (11 11 (:REWRITE DISJOINT-LISTS-WHEN-NOT-CONSP))
 (9 9 (:REWRITE DISJOINT-LIST-WHEN-NOT-CONSP))
 (6 6 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (6 6 (:REWRITE SUBSET-TRANSITIVE))
 (6 6 (:REWRITE SUBSET-APPEND-GIVES-2))
 (6 6 (:REWRITE SUBSET-APPEND-GIVES-1))
 (6 6 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-DIFFERENCE
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 (216 48 (:REWRITE INTERSECT-COMMUTATIVE))
 (60 48 (:REWRITE INTERSECT-SUBSET-INTERSECT))
 (58 13 (:REWRITE NOT-MEMBER-SUBSET))
 (51 51 (:REWRITE SUBSET-APPEND-GIVES-2))
 (51 51 (:REWRITE SUBSET-APPEND-GIVES-1))
 (50 50 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (48 48 (:REWRITE SUBSET-NOT-DISJOINT-INTERSECT))
 (48 48 (:REWRITE MEMBER-GEN-INTERSECT))
 (48 48 (:REWRITE INTERSECT-SUBSET))
 (45 21 (:REWRITE SUBSET-SAME-MEMBERS))
 (36 24 (:REWRITE NOT-INTERSECT-SUBSETS))
 (24 24 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 (23 23 (:REWRITE DIFFERENCE-WHEN-NOT-CONS))
 (18 18 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (10 10 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (8 8 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE DEFAULT-CDR))
 )
(GET-NON-SUBSETS-DIFFERENCE
 (301 29 (:REWRITE DISJOINT-NO-CONFLICTS))
 (196 4 (:REWRITE DISJOINT-LIST-OF-CONSP))
 (137 39 (:REWRITE INTERSECT-COMMUTATIVE))
 (129 6 (:REWRITE SUBSET-SUBSET-DIFFERENCE))
 (83 83 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (83 83 (:REWRITE SUBSET-APPEND-GIVES-2))
 (83 83 (:REWRITE SUBSET-APPEND-GIVES-1))
 (67 25 (:REWRITE NOT-INTERSECT-SUBSETS))
 (56 56 (:TYPE-PRESCRIPTION DISJOINT-LIST))
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 (40 40 (:REWRITE SUBSET-NOT-DISJOINT-INTERSECT))
 (39 39 (:REWRITE INTERSECT-SUBSET-INTERSECT))
 (35 35 (:REWRITE MEMBER-GEN-INTERSECT))
 (28 28 (:REWRITE DISJOINT-LIST-WHEN-NOT-CONSP))
 (25 25 (:REWRITE NO-CONFLICTS-WHEN-NOT-CONSP))
 (23 23 (:REWRITE DIFFERENCE-WHEN-NOT-CONS))
 (20 20 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 (12 12 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE DEFAULT-CDR))
 )
(NOT-INTERSECT-TOPS-NOT-SUBSET
 (597 22 (:REWRITE NOT-INTERSECT-COMMUTATIVE))
 (414 76 (:REWRITE INTERSECT-SUBSET))
 (215 70 (:REWRITE SUBSET-TRANSITIVE))
 (77 77 (:REWRITE SUBSET-NOT-DISJOINT-INTERSECT))
 (77 77 (:REWRITE INTERSECT-SUBSET-INTERSECT))
 (70 70 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (70 70 (:REWRITE SUBSET-APPEND-GIVES-2))
 (70 70 (:REWRITE SUBSET-APPEND-GIVES-1))
 (22 22 (:REWRITE NOT-INTERSECT-SUBSETS))
 (20 20 (:REWRITE INTERSECT-WHEN-NOT-CONSP))
 (16 16 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (9 9 (:REWRITE NOT-MEMBER-SUBSET))
 (9 9 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (8 8 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-LIST-THROUGH-GET-SUBSETS
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 (34 34 (:REWRITE SUBSET-APPEND-GIVES-2))
 (34 34 (:REWRITE SUBSET-APPEND-GIVES-1))
 (16 16 (:REWRITE GET-SUBSETS-WHEN-NOT-CONS))
 (15 15 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 (8 8 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-LIST-THROUGH-GET-NON-SUBSETS
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 (18 18 (:REWRITE SUBSET-APPEND-GIVES-2))
 (18 18 (:REWRITE SUBSET-APPEND-GIVES-1))
 (15 15 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 (8 8 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(TRUE-LIST-LISTP-THROUGH-GET-SUBSETS
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 (40 40 (:REWRITE DEFAULT-CAR))
 (18 18 (:REWRITE SUBSET-LIST-SUBSET))
 (14 14 (:REWRITE GET-SUBSETS-WHEN-NOT-CONS))
 (13 2 (:REWRITE SUBSET-LIST-OF-CONS))
 (12 12 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (12 12 (:REWRITE SUBSET-APPEND-GIVES-2))
 (12 12 (:REWRITE SUBSET-APPEND-GIVES-1))
 (12 12 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 )
(TRUE-LIST-LISTP-THROUGH-GET-NON-SUBSETS
 (66 33 (:DEFINITION TRUE-LISTP))
 (61 61 (:REWRITE DEFAULT-CDR))
 (40 40 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
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 (11 11 (:REWRITE SUBSET-APPEND-GIVES-2))
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 )
(DEL)
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(DEL-OF-CONSP
 (6 6 (:REWRITE DEL-WHEN-NOT-CONSP))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-CAR))
 )
(DEL-ALL)
(DEL-ALL-WHEN-NOT-CONSP)
(DEL-ALL-OF-CONSP
 (15 15 (:REWRITE DEL-ALL-WHEN-NOT-CONSP))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 )
(REMOVE-DUPS
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 (679 483 (:REWRITE DEFAULT-+-1))
 (230 46 (:DEFINITION LEN))
 (176 119 (:REWRITE DEFAULT-<-2))
 (142 119 (:REWRITE DEFAULT-<-1))
 (125 124 (:REWRITE DEFAULT-CDR))
 (92 92 (:REWRITE DEFAULT-UNARY-MINUS))
 (79 78 (:REWRITE DEFAULT-CAR))
 (46 46 (:REWRITE DEFAULT-NUMERATOR))
 (46 46 (:REWRITE DEFAULT-DENOMINATOR))
 (46 46 (:REWRITE DEFAULT-COERCE-2))
 (46 46 (:REWRITE DEFAULT-COERCE-1))
 (45 45 (:REWRITE DEFAULT-REALPART))
 (45 45 (:REWRITE DEFAULT-IMAGPART))
 )
(REMOVE-DUPS-WHEN-NOT-CONSP)
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 (19 19 (:TYPE-PRESCRIPTION DEL-ALL))
 (6 6 (:REWRITE DEFAULT-CAR))
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 (3 3 (:REWRITE DEFAULT-CDR))
 )
(PERM)
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(PERM-OF-CONSP
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 (6 6 (:REWRITE DEFAULT-CAR))
 (5 5 (:REWRITE SUBSET-SAME-MEMBERS))
 (5 5 (:REWRITE NOT-MEMBER-SUBSET))
 (5 5 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (5 5 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (5 5 (:REWRITE DEL-WHEN-NOT-CONSP))
 (3 3 (:REWRITE DEFAULT-CDR))
 )
(PERM-REFLEXIVE
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 (6 6 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (4 4 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (4 4 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(PERM-DEL
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 (42 42 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (38 38 (:REWRITE PERM-WHEN-NOT-CONSP))
 (30 30 (:REWRITE DEL-WHEN-NOT-CONSP))
 (28 28 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (13 13 (:REWRITE SUBSET-TRANSITIVE))
 (13 13 (:REWRITE SUBSET-APPEND-GIVES-2))
 (13 13 (:REWRITE SUBSET-APPEND-GIVES-1))
 (13 13 (:REWRITE DEFAULT-CAR))
 (9 9 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (9 9 (:REWRITE DEFAULT-CDR))
 )
(PERM-SYMMETRIC
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 (5 5 (:REWRITE SUBSET-SAME-MEMBERS))
 (5 5 (:REWRITE NOT-MEMBER-SUBSET))
 (5 5 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (5 5 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (2 2 (:REWRITE DEL-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN
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 (45 45 (:REWRITE SUBSET-TRANSITIVE))
 (45 45 (:REWRITE SUBSET-APPEND-GIVES-2))
 (45 45 (:REWRITE SUBSET-APPEND-GIVES-1))
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 (40 4 (:REWRITE SUBSET-OF-CONSP))
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 (25 25 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (10 10 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(PERM-IMPLIES-SAME-MEMBER-GEN
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 (56 4 (:REWRITE SUBSET-OF-CONSP))
 (35 35 (:REWRITE SUBSET-TRANSITIVE))
 (35 35 (:REWRITE SUBSET-APPEND-GIVES-2))
 (35 35 (:REWRITE SUBSET-APPEND-GIVES-1))
 (33 33 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (31 31 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (28 28 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (20 20 (:REWRITE PERM-WHEN-NOT-CONSP))
 (9 9 (:REWRITE DEFAULT-CAR))
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 (2 2 (:REWRITE DEFAULT-CDR))
 )
(DEL-DEL
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 (2 2 (:REWRITE DEFAULT-CDR))
 )
(MEMBER-GEN-DEL
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 (31 31 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (31 31 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (11 11 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(PERM-DEL-DEL
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 (56 56 (:REWRITE PERM-WHEN-NOT-CONSP))
 (36 36 (:REWRITE DEL-WHEN-NOT-CONSP))
 (35 35 (:REWRITE SUBSET-TRANSITIVE))
 (35 35 (:REWRITE SUBSET-APPEND-GIVES-2))
 (35 35 (:REWRITE SUBSET-APPEND-GIVES-1))
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 (30 30 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
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 (24 2 (:REWRITE SUBSET-OF-CONSP))
 (21 21 (:REWRITE DEFAULT-CAR))
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 (3 3 (:REWRITE DEFAULT-CDR))
 )
(PERM-TRANSITIVE
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 (31 31 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
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 (22 22 (:REWRITE SUBSET-TRANSITIVE))
 (22 22 (:REWRITE SUBSET-APPEND-GIVES-2))
 (22 22 (:REWRITE SUBSET-APPEND-GIVES-1))
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 (17 17 (:REWRITE DEL-WHEN-NOT-CONSP))
 (14 14 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (14 14 (:REWRITE DEFAULT-CAR))
 (14 2 (:REWRITE SUBSET-CONS))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(PERM-IS-AN-EQUIVALENCE
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 (6 6 (:REWRITE PERM-WHEN-NOT-CONSP))
 (4 4 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
 )
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 (102 51 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (90 8 (:REWRITE NOT-MEMBERS-NOT-MEMBER-APPEND))
 (74 10 (:REWRITE SUBSET-SUBSET-GIVES-SUBSET-APPEND))
 (60 60 (:REWRITE SUBSET-TRANSITIVE))
 (57 57 (:REWRITE SUBSET-APPEND-GIVES-2))
 (57 57 (:REWRITE SUBSET-APPEND-GIVES-1))
 (56 56 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (54 2 (:REWRITE SUBSET-OF-CONSP))
 (51 51 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (51 51 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (51 51 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (43 8 (:REWRITE MEMBER-2-MEMBER-APPEND))
 (32 8 (:REWRITE MEMBER-1-MEMBER-APPEND))
 (15 15 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE DEFAULT-CDR))
 )
(DEL-APPEND
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 (1153 1153 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (206 53 (:REWRITE DEL-WHEN-NOT-CONSP))
 (102 96 (:REWRITE DEFAULT-CAR))
 (85 79 (:REWRITE DEFAULT-CDR))
 (36 36 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (36 3 (:REWRITE SUBSET-OF-CONSP))
 (34 34 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (15 15 (:REWRITE SUBSET-TRANSITIVE))
 (15 15 (:REWRITE SUBSET-APPEND-GIVES-2))
 (15 15 (:REWRITE SUBSET-APPEND-GIVES-1))
 (12 12 (:REWRITE SUBSET-WHEN-NOT-CONS))
 )
(PERM-IMPLIES-PERM-APPEND-1
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 (176 74 (:REWRITE PERM-TRANSITIVE))
 (102 102 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (102 102 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (96 74 (:REWRITE PERM-DEL-DEL))
 (80 20 (:REWRITE NOT-MEMBER-SUBSET))
 (76 36 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
 (56 56 (:REWRITE DEFAULT-CAR))
 (42 30 (:REWRITE SUBSET-SAME-MEMBERS))
 (34 34 (:REWRITE DEFAULT-CDR))
 (30 30 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (30 30 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (24 24 (:TYPE-PRESCRIPTION SUBSET))
 (20 20 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (18 18 (:REWRITE DEL-WHEN-NOT-CONSP))
 (12 12 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (12 12 (:REWRITE SUBSET-TRANSITIVE))
 (12 12 (:REWRITE SUBSET-APPEND-GIVES-2))
 (12 12 (:REWRITE SUBSET-APPEND-GIVES-1))
 )
(PERM-IMPLIES-PERM-APPEND-2
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 (36 18 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (18 18 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (18 18 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (16 16 (:REWRITE PERM-DEL-DEL))
 (8 8 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE SUBSET-SAME-MEMBERS))
 (1 1 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (1 1 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 )
(MEMBER-GEN-LEN
 (109 57 (:REWRITE DEFAULT-+-2))
 (57 57 (:REWRITE DEFAULT-+-1))
 (41 21 (:REWRITE SUBSET-SAME-MEMBERS))
 (35 35 (:REWRITE DEFAULT-CDR))
 (24 2 (:REWRITE SUBSET-OF-CONSP))
 (22 22 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (21 21 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (14 14 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (14 14 (:REWRITE DEL-WHEN-NOT-CONSP))
 (12 12 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE SUBSET-TRANSITIVE))
 (6 6 (:REWRITE SUBSET-APPEND-GIVES-2))
 (6 6 (:REWRITE SUBSET-APPEND-GIVES-1))
 (4 4 (:REWRITE SUBSET-WHEN-NOT-CONS))
 )
(PERM-IMPLIES-EQUAL-LEN-1
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 (70 35 (:REWRITE DEFAULT-+-2))
 (35 35 (:REWRITE DEFAULT-+-1))
 (31 31 (:REWRITE DEFAULT-CDR))
 (24 24 (:REWRITE PERM-TRANSITIVE))
 (24 24 (:REWRITE PERM-DEL-DEL))
 (12 12 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
 (9 9 (:REWRITE DEL-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE SUBSET-SAME-MEMBERS))
 (3 3 (:REWRITE NOT-MEMBER-SUBSET))
 (3 3 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (3 3 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (3 3 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 )
(DIFF-LENS-NOT-PERM
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 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(PERM-IMPLIES-PERM-MEMBER-GEN-2
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 (14 4 (:DEFINITION LEN))
 (4 4 (:REWRITE PERM-TRANSITIVE))
 (4 4 (:REWRITE PERM-DEL-DEL))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE SUBSET-SAME-MEMBERS))
 (2 2 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
 (2 2 (:REWRITE NOT-MEMBER-SUBSET))
 (2 2 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (2 2 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (2 2 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(SUBSET-DEL-MEMBER-GIVES-SUBSET
 (29 29 (:REWRITE SUBSET-TRANSITIVE))
 (29 29 (:REWRITE SUBSET-APPEND-GIVES-2))
 (29 29 (:REWRITE SUBSET-APPEND-GIVES-1))
 (29 29 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 (20 20 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (17 17 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (17 17 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (4 4 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(PERM-IMPLIES-PERM-SUBSET-1
 (28 2 (:REWRITE DIFF-LENS-NOT-PERM))
 (14 4 (:DEFINITION LEN))
 (4 4 (:REWRITE PERM-TRANSITIVE))
 (4 4 (:REWRITE PERM-DEL-DEL))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (2 2 (:REWRITE SUBSET-TRANSITIVE))
 (2 2 (:REWRITE SUBSET-APPEND-GIVES-2))
 (2 2 (:REWRITE SUBSET-APPEND-GIVES-1))
 (2 2 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
 (2 2 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(MEMBER-PERM-GIVES-MEMBER
 (259 11 (:REWRITE DIFF-LENS-NOT-PERM))
 (142 26 (:DEFINITION LEN))
 (94 22 (:REWRITE NOT-MEMBER-SUBSET))
 (88 22 (:REWRITE PERM-SYMMETRIC))
 (58 29 (:REWRITE DEFAULT-+-2))
 (31 31 (:REWRITE DEFAULT-CDR))
 (29 29 (:REWRITE DEFAULT-+-1))
 (27 27 (:REWRITE SUBSET-TRANSITIVE))
 (27 27 (:REWRITE SUBSET-APPEND-GIVES-2))
 (27 27 (:REWRITE SUBSET-APPEND-GIVES-1))
 (22 22 (:REWRITE PERM-TRANSITIVE))
 (22 22 (:REWRITE PERM-DEL-DEL))
 (22 22 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (20 20 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (20 20 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (13 13 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
 (2 2 (:REWRITE DEL-WHEN-NOT-CONSP))
 )
(PERM-IMPLIES-PERM-SUBSET-2
 (28 2 (:REWRITE DIFF-LENS-NOT-PERM))
 (14 4 (:DEFINITION LEN))
 (4 4 (:REWRITE PERM-TRANSITIVE))
 (4 4 (:REWRITE PERM-DEL-DEL))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (2 2 (:REWRITE SUBSET-TRANSITIVE))
 (2 2 (:REWRITE SUBSET-APPEND-GIVES-2))
 (2 2 (:REWRITE SUBSET-APPEND-GIVES-1))
 (2 2 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
 (2 2 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(APPEND-NIL
 (2 1 (:DEFINITION TRUE-LISTP))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(SUBSET-APPEND-SUBSET
 (14 2 (:REWRITE SUBSET-GIVES-SUBSET-OF-APPEND-2))
 (9 3 (:DEFINITION BINARY-APPEND))
 (5 5 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (5 5 (:REWRITE SUBSET-APPEND-GIVES-2))
 (5 5 (:REWRITE SUBSET-APPEND-GIVES-1))
 (3 3 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(NOT-MEMBER-GEN-CDR
 (58 6 (:REWRITE MEMBER-PERM-GIVES-MEMBER))
 (42 4 (:REWRITE PERM-SYMMETRIC))
 (30 4 (:REWRITE PERM-DEL-DEL))
 (18 6 (:REWRITE SUBSET-SAME-MEMBERS))
 (16 4 (:REWRITE NOT-MEMBER-SUBSET))
 (12 12 (:TYPE-PRESCRIPTION PERM))
 (8 8 (:TYPE-PRESCRIPTION SUBSET))
 (6 6 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (6 6 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (4 4 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (4 4 (:REWRITE SUBSET-TRANSITIVE))
 (4 4 (:REWRITE SUBSET-APPEND-GIVES-2))
 (4 4 (:REWRITE SUBSET-APPEND-GIVES-1))
 (4 4 (:REWRITE PERM-WHEN-NOT-CONSP))
 (4 4 (:REWRITE PERM-TRANSITIVE))
 (4 4 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(NOT-MEMBER-GEN-P-NOT-EQUAL-CAR-P
 (3 3 (:REWRITE SUBSET-SAME-MEMBERS))
 (3 3 (:REWRITE NOT-MEMBER-SUBSET))
 (3 3 (:REWRITE MEMBER-PERM-GIVES-MEMBER))
 (3 3 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (3 3 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (3 3 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(CONSP-GIVES-MEMBER-GEN-CAR)
(SUBSET-FROM-DEL
 (13 13 (:REWRITE SUBSET-SAME-MEMBERS))
 (13 13 (:REWRITE MEMBER-PERM-GIVES-MEMBER))
 (13 13 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (13 13 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (12 10 (:REWRITE SUBSET-TRANSITIVE))
 (11 11 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 (9 9 (:REWRITE SUBSET-APPEND-GIVES-2))
 (9 9 (:REWRITE SUBSET-APPEND-GIVES-1))
 (7 7 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE NOT-MEMBER-SUBSET))
 )
(PERM-IMPLIES-SUBSET
 (243 9 (:REWRITE DIFF-LENS-NOT-PERM))
 (144 24 (:DEFINITION LEN))
 (100 16 (:REWRITE PERM-SYMMETRIC))
 (77 23 (:REWRITE PERM-DEL-DEL))
 (60 30 (:REWRITE DEFAULT-+-2))
 (34 34 (:REWRITE DEFAULT-CDR))
 (30 30 (:REWRITE DEFAULT-+-1))
 (23 23 (:REWRITE PERM-TRANSITIVE))
 (18 18 (:REWRITE DEL-WHEN-NOT-CONSP))
 (16 16 (:REWRITE PERM-WHEN-NOT-CONSP))
 (12 12 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 (11 11 (:REWRITE SUBSET-APPEND-GIVES-2))
 (11 11 (:REWRITE SUBSET-APPEND-GIVES-1))
 (10 10 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (10 10 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE SUBSET-SAME-MEMBERS))
 (7 7 (:REWRITE NOT-MEMBER-SUBSET))
 (7 7 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (7 7 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (7 7 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 )
(NOT-EQUAL-ARGS-EQUAL-MEMBER-GEN
 (3 3 (:REWRITE MEMBER-PERM-GIVES-MEMBER))
 (2 2 (:REWRITE SUBSET-SAME-MEMBERS))
 (2 2 (:REWRITE NOT-MEMBER-SUBSET))
 (2 2 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (2 2 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (2 2 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (1 1 (:REWRITE DEL-WHEN-NOT-CONSP))
 )
(PERM-IMPLIES-EQUAL-MEMBER-GEN-2
 (289 12 (:REWRITE DIFF-LENS-NOT-PERM))
 (161 29 (:DEFINITION LEN))
 (88 22 (:REWRITE PERM-SYMMETRIC))
 (66 33 (:REWRITE DEFAULT-+-2))
 (35 35 (:REWRITE DEFAULT-CDR))
 (33 33 (:REWRITE DEFAULT-+-1))
 (29 29 (:REWRITE SUBSET-SAME-MEMBERS))
 (29 29 (:REWRITE NOT-MEMBER-SUBSET))
 (29 29 (:REWRITE MEMBER-PERM-GIVES-MEMBER))
 (29 29 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (29 29 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (23 23 (:REWRITE PERM-TRANSITIVE))
 (23 23 (:REWRITE PERM-DEL-DEL))
 (9 9 (:REWRITE DEFAULT-CAR))
 (9 1 (:REWRITE NOT-MEMBER-GEN-CDR))
 (3 3 (:REWRITE DEL-WHEN-NOT-CONSP))
 )
(NOT-MEMBER-DEL-EQUAL-NO-DUPS
 (119 16 (:REWRITE PERM-SYMMETRIC))
 (71 16 (:REWRITE PERM-DEL-DEL))
 (57 27 (:REWRITE SUBSET-SAME-MEMBERS))
 (46 46 (:TYPE-PRESCRIPTION PERM))
 (41 41 (:REWRITE NO-DUPS-APPEND-GIVES-2))
 (41 41 (:REWRITE NO-DUPS-APPEND-GIVES-1))
 (27 27 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (18 6 (:REWRITE NOT-MEMBER-GEN-CDR))
 (16 16 (:REWRITE PERM-WHEN-NOT-CONSP))
 (16 16 (:REWRITE PERM-TRANSITIVE))
 (14 14 (:REWRITE MEMBER-GEN-DEL))
 (11 11 (:REWRITE DEFAULT-CDR))
 (9 6 (:REWRITE SUBSET-DEL-MEMBER-GIVES-SUBSET))
 (6 6 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (6 6 (:REWRITE SUBSET-TRANSITIVE))
 (6 6 (:REWRITE SUBSET-APPEND-GIVES-2))
 (6 6 (:REWRITE SUBSET-APPEND-GIVES-1))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE CONSP-GIVES-MEMBER-GEN-CAR))
 )
(MEMBER-GEN-X-DEL-X-NOT-NO-DUPS
 (153 32 (:REWRITE MEMBER-PERM-GIVES-MEMBER))
 (136 18 (:REWRITE PERM-SYMMETRIC))
 (94 31 (:REWRITE SUBSET-SAME-MEMBERS))
 (78 18 (:REWRITE PERM-DEL-DEL))
 (48 48 (:TYPE-PRESCRIPTION PERM))
 (41 21 (:REWRITE NOT-EQUAL-ARGS-EQUAL-MEMBER-GEN))
 (32 32 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (31 31 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (18 18 (:REWRITE PERM-TRANSITIVE))
 (18 6 (:REWRITE NOT-MEMBER-GEN-CDR))
 (17 17 (:REWRITE MEMBER-GEN-DEL))
 (16 16 (:REWRITE PERM-WHEN-NOT-CONSP))
 (16 5 (:REWRITE SUBSET-DEL-MEMBER-GIVES-SUBSET))
 (14 2 (:REWRITE SUBSET-OF-CONSP))
 (14 2 (:REWRITE PERM-OF-CONSP))
 (11 11 (:REWRITE NO-DUPS-WHEN-NOT-CONSP))
 (11 11 (:REWRITE NO-DUPS-APPEND-GIVES-2))
 (11 11 (:REWRITE NO-DUPS-APPEND-GIVES-1))
 (10 10 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE SUBSET-TRANSITIVE))
 (8 8 (:REWRITE SUBSET-APPEND-GIVES-2))
 (8 8 (:REWRITE SUBSET-APPEND-GIVES-1))
 (6 6 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE CONSP-GIVES-MEMBER-GEN-CAR))
 )
(PERM-IMPLIES-EQUAL-NO-DUPS-GEN-1
 (322 59 (:REWRITE PERM-SYMMETRIC))
 (298 12 (:REWRITE DIFF-LENS-NOT-PERM))
 (211 62 (:REWRITE PERM-TRANSITIVE))
 (170 30 (:DEFINITION LEN))
 (109 19 (:REWRITE SUBSET-SAME-MEMBERS))
 (70 35 (:REWRITE DEFAULT-+-2))
 (45 45 (:REWRITE DEFAULT-CDR))
 (35 35 (:REWRITE DEFAULT-+-1))
 (28 28 (:REWRITE NO-DUPS-APPEND-GIVES-2))
 (28 28 (:REWRITE NO-DUPS-APPEND-GIVES-1))
 (24 24 (:REWRITE DEL-WHEN-NOT-CONSP))
 (19 19 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (18 6 (:REWRITE NOT-MEMBER-GEN-CDR))
 (13 13 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (12 12 (:REWRITE PERM-IMPLIES-SAME-MEMBER-GEN))
 (11 11 (:REWRITE SUBSET-WHEN-NOT-CONS))
 (11 11 (:REWRITE SUBSET-TRANSITIVE))
 (11 11 (:REWRITE SUBSET-APPEND-GIVES-2))
 (11 11 (:REWRITE SUBSET-APPEND-GIVES-1))
 (11 11 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE NOT-EQUAL-ARGS-EQUAL-MEMBER-GEN))
 (6 6 (:REWRITE MEMBER-GEN-DEL))
 (6 6 (:REWRITE CONSP-GIVES-MEMBER-GEN-CAR))
 (2 2 (:REWRITE SUBSET-DEL-MEMBER-GIVES-SUBSET))
 )
(MY-UNION)
(MY-UNION-WHEN-NOT-CONSP
 (19 19 (:TYPE-PRESCRIPTION MY-UNION))
 )
(MY-UNION-OF-CONSP
 (33 33 (:TYPE-PRESCRIPTION MY-UNION))
 (15 15 (:REWRITE MY-UNION-WHEN-NOT-CONSP))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE SUBSET-SAME-MEMBERS))
 (7 7 (:REWRITE NOT-MEMBER-SUBSET))
 (7 7 (:REWRITE MEMBER-PERM-GIVES-MEMBER))
 (7 7 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (7 7 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (7 7 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 )
(NOT-MEMBER-THROUGH-UNION
 (1100 231 (:REWRITE PERM-DEL-DEL))
 (675 92 (:REWRITE SUBSET-SAME-MEMBERS))
 (372 214 (:REWRITE PERM-WHEN-NOT-CONSP))
 (338 338 (:TYPE-PRESCRIPTION MY-UNION))
 (233 9 (:REWRITE PERM-OF-CONSP))
 (231 231 (:REWRITE PERM-TRANSITIVE))
 (106 106 (:REWRITE SUBSET-TRANSITIVE))
 (106 106 (:REWRITE SUBSET-APPEND-GIVES-2))
 (106 106 (:REWRITE SUBSET-APPEND-GIVES-1))
 (101 101 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (92 92 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (80 41 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (68 3 (:REWRITE SUBSET-OF-CONSP))
 (31 31 (:REWRITE DEFAULT-CDR))
 (29 20 (:REWRITE DEL-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE CONSP-GIVES-MEMBER-GEN-CAR))
 (3 3 (:REWRITE NOT-EQUAL-ARGS-EQUAL-MEMBER-GEN))
 (3 3 (:REWRITE MEMBER-GEN-DEL))
 )
(SUBSET-THROUGH-MY-UNION
 (663 123 (:REWRITE PERM-SYMMETRIC))
 (447 125 (:REWRITE PERM-DEL-DEL))
 (321 321 (:TYPE-PRESCRIPTION PERM))
 (180 122 (:REWRITE PERM-WHEN-NOT-CONSP))
 (125 125 (:REWRITE PERM-TRANSITIVE))
 (105 105 (:TYPE-PRESCRIPTION MY-UNION))
 (61 61 (:REWRITE SUBSET-APPEND-GIVES-2))
 (61 61 (:REWRITE SUBSET-APPEND-GIVES-1))
 (48 48 (:REWRITE NOT-INTERSECT-TOPS-NOT-SUBSET))
 (46 1 (:REWRITE SUBSET-CONS))
 (27 27 (:REWRITE MEMBER-GEN-DEL-IMPLIES-MEMBER-GEN))
 (24 24 (:REWRITE MEMBER-DIFFERENCE-MEMBER))
 (18 1 (:REWRITE PERM-OF-CONSP))
 (11 11 (:REWRITE MEMBER-GEN-WHEN-NOT-CONS))
 (8 8 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEL-WHEN-NOT-CONSP))
 (1 1 (:REWRITE MEMBER-GEN-OF-CONSP))
 (1 1 (:REWRITE DEL-OF-CONSP))
 )
