(MILAWA::ORDERED-SUBSETP
     (17 2
         (:REWRITE MILAWA::RANK-WHEN-NOT-CONSP))
     (12 3
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (10 3
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (4 1
        (:REWRITE MILAWA::RANK-WHEN-MEMBERP-WEAK))
     (4 1 (:REWRITE MILAWA::RANK-WHEN-MEMBERP))
     (3 3
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (3 3
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (3 3
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (2 2
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
     (2 2
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
     (2 2
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
     (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (1 1
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (1 1
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP)))
(MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE
     (4 1
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (3 1
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP)))
(MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO
     (10 4
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (10 1
         (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
     (8 4
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (4 4
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (4 4
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (2 2
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (2 2
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (2 2
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE)))
(MILAWA::ORDERED-SUBSETP-OF-CONS-AND-CONS
     (189 15
          (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
     (96 27
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (90 15
         (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
     (83 27
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (42 7
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (42 7
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (28 7
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (27 27
         (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (27 27
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (23 23
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (23 23
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (23 23
         (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (23 23
         (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (23 23 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (15 15
         (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (14 14 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (14 14
         (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (14 14
         (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (14 14 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (14 14
         (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (10 10 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
     (10 10
         (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (10 10
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (10 10
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (10 10
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (10 10
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (10 10
         (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (10 10
         (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
     (10 10
         (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
     (7 7
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (7 7
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
     (7 7
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (7 7
        (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
     (6 6
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP)))
(MILAWA::BOOLEANP-OF-ORDERED-SUBSETP
     (159 45
          (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (145 54
          (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (54 54
         (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (54 54
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (48 8
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (48 8
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (47 47
         (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (47 47
         (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (47 47 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (40 8
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (38 38
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (38 38
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (36 9
         (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
     (36 9
         (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
     (18 18
         (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
     (18 18
         (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
     (18 18
         (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
     (17 8
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (16 16 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (16 16
         (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (16 16
         (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (16 16 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (16 16
         (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (15 15 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
     (15 15
         (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (15 15
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (15 15
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (15 15
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (15 15
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (15 15
         (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (15 15
         (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (8 8
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (7 7
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE)))
(MILAWA::MY-INDUCTION
     (17 2
         (:REWRITE MILAWA::RANK-WHEN-NOT-CONSP))
     (12 3
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (10 3
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (4 1
        (:REWRITE MILAWA::RANK-WHEN-MEMBERP-WEAK))
     (4 1 (:REWRITE MILAWA::RANK-WHEN-MEMBERP))
     (3 3
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (3 3
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (3 3
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (2 2
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
     (2 2
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
     (2 2
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
     (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (1 1
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (1 1
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP)))
(MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP
 (656 182
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (577 182
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (158 158
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (158 158
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (158 158
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (158 158
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (158 158 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (100 13
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (98 98
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (91 91
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (91 91
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (91 91
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (91 91
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (91 91
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (79 79 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (78 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (78 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (67 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (26 26 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (26 26 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (26 26
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (13 13
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (12
    12
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE)))
(MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS)
(MILAWA::ORDERED-SUBSETP-OF-CONS-WHEN-ORDERED-SUBSETP
     (41 5
         (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
     (33 12
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (32 4
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (26 12
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (24 4
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (24 4
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (23 5
         (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
     (22 4
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (8 8 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (8 8
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (8 8
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (8 8 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (8 8
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (7 7
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (7 7
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (7 7 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (7 7
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (7 7 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (6 6
        (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
     (4 4
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (3 3
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (3 3
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
     (3 3
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
     (2 2
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
     (2 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
     (1 1
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP)))
(MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR
     (110 11
          (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
     (103 31
          (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (84 31
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (31 31
         (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (31 31
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (24 24
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (24 24
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (24 24
         (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (24 24
         (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (24 24 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (13 13
         (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
     (12 1
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (10 1
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (6 6
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (6 1
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (6 1
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (5 5
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (2 2
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (2 2
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (2 2
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (1 1
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY)))
(MILAWA::ORDERED-SUBSETP-IS-REFLEXIVE
 (180 10
      (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (125 37
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (118 43
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (110 43
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (39 39
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (25 25
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (25 25
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (25 25
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (25 25 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (25 25
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 2
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (20 2
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (17 17 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CONS-WHEN-ORDERED-SUBSETP))
 (4 4 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4 4 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4 4
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2 2
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1 1 (:REWRITE MILAWA::CDR-OF-CONS)))
(MILAWA::MY-INDUCTION
     (11502 828 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (7920 242
           (:REWRITE MILAWA::|a <= b, c != 0 --> a < c+b|))
     (3380 447
           (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
     (3114 236
           (:REWRITE MILAWA::|a <= b, c != 0 --> a < b+c|))
     (2996 1032
           (:REWRITE MILAWA::NFIX-WHEN-NATP-CHEAP))
     (2622 733
           (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (2334 375
           (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (2303 76
           (:REWRITE MILAWA::|a <= b, c != 0 --> a < c+b+d|))
     (2032 57 (:REWRITE MILAWA::|(= 0 (+ a b))|))
     (2003 1 (:REWRITE MILAWA::SQUEEZE-LAW-TWO))
     (1843 23
           (:REWRITE MILAWA::|a <= d, b+c <= e --> b+a+c <= d+e|))
     (1815 72
           (:REWRITE MILAWA::|c <= a, d < b --> c+d < b+a|))
     (1476 6 (:REWRITE MILAWA::|(< a (+ a b))|))
     (1403 1403
           (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (1339 331
           (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (1293 64
           (:REWRITE MILAWA::|c < a, d <= b --> c+d < b+a|))
     (1186 1032
           (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
     (1186 1032
           (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
     (1083 621
           (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (1036 1036 (:REWRITE MILAWA::NATP-OF-RANK))
     (954 64
          (:REWRITE MILAWA::|c < a, d <= b --> c+d < a+b|))
     (938 515
          (:REWRITE MILAWA::RANK-WHEN-MEMBERP))
     (923 182
          (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (838 421
          (:REWRITE MILAWA::RANK-WHEN-MEMBERP-WEAK))
     (835 835
          (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (835 835
          (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (615 447
          (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
     (611 611
          (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
     (471 71 (:REWRITE MILAWA::|(< 0 (rank x))|))
     (436 323
          (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (428 284
          (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (375 375
          (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (358 58
          (:REWRITE MILAWA::RANK-WHEN-NOT-CONSP))
     (331 331
          (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (323 323
          (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (323 323
          (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (280 280
          (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
     (280 280
          (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
     (280 280
          (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
     (254 254
          (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-LESS-OF-PLUS-TWO))
     (228 148
          (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
     (222 222
          (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-LESS-OF-PLUS))
     (219 219
          (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
     (218 218
          (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
     (198 1
          (:REWRITE MILAWA::|(< (+ a b) (+ c a d))|))
     (173 4 (:REWRITE MILAWA::|(< a (+ b a c))|))
     (151 59
          (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
     (133 59
          (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
     (133 1
          (:REWRITE MILAWA::|(< (+ a b) (+ c b d))|))
     (104 5 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
     (82 82
         (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-EQUAL-OF-PLUS))
     (75 75
         (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-LESS-OF-PLUS-AND-PLUS))
     (72 12 (:REWRITE MILAWA::LESS-OF-ZERO-LEFT))
     (64 64
         (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (64 64
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (64 64
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (64 64
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (64 64
         (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (60 5
         (:REWRITE MILAWA::|(< (+ b a) (+ a c))|))
     (55 2 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
     (48 48
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (48 48
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (48 48
         (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (48 48
         (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (38 38
         (:REWRITE MILAWA::LESS-OF-ZERO-RIGHT))
     (34 34
         (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-PLUS-OF-PLUS))
     (25 25
         (:REWRITE MILAWA::EQUAL-OF-NFIX-WITH-POSITIVE-CONSTANT))
     (17 17 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
     (17 17
         (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (17 17
         (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (12 12
         (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-EQUAL-OF-PLUS-AND-PLUS))
     (7 7 (:REWRITE MILAWA::|(< (+ b a) a)|))
     (1 1
        (:REWRITE MILAWA::|b <= c, a <= b --> a < 1+c|))
     (1 1
        (:REWRITE MILAWA::|a <= b, b <= c --> a < 1+c|))
     (1 1 (:REWRITE MILAWA::|(< (+ a b) a)|)))
(MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE
 (4044 1263
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (3704 1263
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (2366 619
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1263 1263
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1263 1263
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1073 1073
       (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (927 927
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (927 927
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (927 927
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (927 927
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (927 927 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (706 706
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (706 706
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (706 706
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (706 706
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (706 706
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (678 678
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (587 587
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (284 35
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (210 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (210 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (197 35
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (163 59
      (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CONS-WHEN-ORDERED-SUBSETP))
 (130 130
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (130
    130
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (119 119
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (119 119
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (70 70 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 70 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (70 70
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (59 59 (:REWRITE MILAWA::CDR-OF-CONS))
 (35 35
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (17 17
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE)))
(MILAWA::ORDERED-SUBSETP-OF-LIST-FIX-ONE
 (1065 393
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1053 375
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (602 299
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (573 168
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (468 35
      (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (464 464
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (464 464
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (299 299
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (260 260
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (260 260
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (260 260
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (260 260
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (260 260
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (252 42
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (252 42
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (244 204
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (226 226
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (226 226
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (226 226 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (176 176
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (168 168
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (168 42
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (109 109
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (109 109
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (88 88
     (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (84 84 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (84 84 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (84 84
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (73 73
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (73 73
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (73 73
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (73
    73
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (42 42
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (42 42
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (42 42
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY)))
(MILAWA::ORDERED-SUBSETP-OF-LIST-FIX-TWO
 (2935 142
       (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (2500 597
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2313 96
       (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (1402 631
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1399 664
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1033 431
       (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (857 857
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (857 857
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (597 597
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (555 233
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (538 538
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (538 538
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (538 538
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (538 538
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (538 538
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (312 312
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (312 52
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (312 52
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (295 295
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (295 295
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (257 257
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (257 257
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (257 257 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (233 233
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (208 52
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (197 197
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (197 197
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (142 142
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (114 114
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (114
    114
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (104 104 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (104 104
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (104 104
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (104 104
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (104 104
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (52 52
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (52 52
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (52 52
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (42 42
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (14
  14
  (:REWRITE
      MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::ORDERED-SUBSETP-OF-APP-WHEN-ORDERED-SUBSETP-ONE
 (1696 64
       (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (1237 489
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1141 418
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (724 159
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (489 489
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (489 489
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (283 283
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (283 283
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (278 278
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (278 278
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (278 278
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (278 278
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (278 278
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (274 24
      (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (264 102
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (241 241
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (241 241
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (241 241 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (234 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (234 39
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (199 199
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (195 24
      (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (182 182
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (159 159
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (156 39
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (102 102
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (102 102
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (78 78 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (78 78
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (78 78 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (78 78
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (63 63
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (63 63
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (61 61
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (61
    61
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (39 39
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (39 39
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (39 39
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (39 39
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (24 24
     (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP)))
(MILAWA::ORDERED-SUBSETP-OF-APP-ONE
     (40 2
         (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
     (31 2
         (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
     (30 12
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (26 13
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (23 2 (:REWRITE MILAWA::CONSP-OF-APP))
     (20 2
         (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
     (20 2 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
     (13 13
         (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (13 13
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (12 1
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (10 1
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (10 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (6 6
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (6 6
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (6 6
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (6 2
        (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
     (6 1
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (6 1
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (5 1 (:DEFINITION NOT))
     (4 1
        (:REWRITE MILAWA::CDR-OF-APP-WHEN-X-IS-CONSP))
     (3 3
        (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
     (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (2 2
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (2 2
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (2 2
        (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
     (2 2
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (2 2
        (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
     (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
     (1 1
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (1 1
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::ORDERED-SUBSETP-OF-APP-TWO
     (78 5 (:REWRITE MILAWA::CONSP-OF-APP))
     (69 6
         (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
     (56 23
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (50 2
         (:REWRITE MILAWA::ORDERED-SUBSETP-OF-APP-WHEN-ORDERED-SUBSETP-ONE))
     (49 24
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (43 8
         (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
     (39 6
         (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
     (31 4
         (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (24 24
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (17 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (16 12
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (12 12
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (12 1
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (11 11
         (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (11 11
         (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (11 11 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (10 1
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (9 9
        (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (9 9
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (9 9
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (9 9
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (9 9
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (7 1
        (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
     (6 6
        (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
     (6 1
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (6 1
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (5 1
        (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
     (4 4
        (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
     (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
     (3 3
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (2 2
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (2 2
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (2 2
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (1 1
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY)))
(MILAWA::ORDERED-SUBSETP-OF-APP-WHEN-ORDERED-SUBSETP-TWO
 (479 4 (:DEFINITION MILAWA::ORDERED-SUBSETP))
 (245 16
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (218 1
      (:REWRITE MILAWA::ORDERED-SUBSETP-OF-APP-WHEN-ORDERED-SUBSETP-ONE))
 (202 16
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (98 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (97 33
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (93 30
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (47 5
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (37 15
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (24 4
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (24 4
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (21 21 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (16 4
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 1
     (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (10 1 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8 8
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (8 8
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8 8 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8 8
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (8 8 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP)))
(MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP
 (3902 192
       (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (2520 90
       (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (977 316
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (976 292
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (507 169
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (346 346
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (318 318
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (270 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (270 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (256 35
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (247 247
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (247 247
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (240 240
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (240 240
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (231 231
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (231 231
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (231 231
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (228 228
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (228 228
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (228 228 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (205 35
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (192 192
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (192 192
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (188 45
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (181 181
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (170 170
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (161 47
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (114 99
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (101 92
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (99 99
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (99 99
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (93 93
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (92 92
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (92
    92
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (90 90 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (90 90
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (90 90
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (90 90 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (90 90
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (27 7
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (24 24
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24
  24
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4 1
    (:REWRITE MILAWA::PREFIXP-OF-CONS-AND-CONS))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1 (:REWRITE MILAWA::CDR-OF-CONS)))
(MILAWA::ORDERED-SUBSETP-OF-REMOVE-DUPLICATES
 (331 33
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (225 83
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (175 70
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (133 33
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (97 30
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (59 1 (:REWRITE MILAWA::UNIQUEP-OF-CONS))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (42 26
     (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (35 35
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (35 35
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (35 35 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (34 34
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (32 8
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (32 5
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 2
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (20 20 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (20 2
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (15 5
     (:REWRITE MILAWA::UNIQUEP-OF-CDR-WHEN-UNIQUEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-OF-REMOVE-DUPLICATES))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (10 1
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (8 8
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (8 8
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (5 5
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (5 5
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 1 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (4 4 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4 4 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4 4
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (3 1
    (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2 2 (:REWRITE MILAWA::CDR-OF-CONS)))
(MILAWA::ORDERED-SUBSETP-OF-REMOVE-ALL
 (333 33
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (226 84
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (176 71
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (133 33
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (103 30
      (:REWRITE MILAWA::REMOVE-ALL-WHEN-NOT-CONSP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (44 1 (:REWRITE MILAWA::MEMBERP-OF-CONS))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (35 35
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (35 35
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (35 35 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (34 34
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (33 5
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (29 29
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (29 21
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (25 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (25 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (22 4
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (20 20
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (20 20
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-OF-REMOVE-ALL))
 (8 8 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8 8
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (8 8
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8 8 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8 8
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (3 1
    (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2 2 (:REWRITE MILAWA::CDR-OF-CONS)))
(MILAWA::ORDERED-SUBSETP-OF-DIFFERENCE
 (358 58
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (280 104
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (247 91
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (170 23
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (157 23
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (120 5 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (103 30
      (:REWRITE MILAWA::DIFFERENCE-WHEN-NOT-CONSP))
 (96 24
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (65 65
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (59 59
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (52 52
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (52 52
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (52 52
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (52 52 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (44 26
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (38 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (31 31
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (31 7
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (30 3
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (24 24
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (24 24
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (24 24
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (24 2
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (20 20 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-OF-DIFFERENCE))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4 4 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4 4
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (3 3
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (3 3
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2 2 (:REWRITE MILAWA::CDR-OF-CONS)))
