%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX063+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:07:04 AM UTC 2026 % Result : Theorem 0.41s 0.78s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX063+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 22:54:44 EDT 2026 % 0.18/0.34 % CPUTime : % 0.39/0.57 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.78 % SZS status Theorem % 0.41/0.78 % SZS output start Proof % 0.41/0.78 ( % 0.41/0.78 (declare-sort $$unsorted 0) % 0.41/0.78 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.78 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.78 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.78 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 0.41/0.78 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.n_reverse_terminates (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.a_reverse_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.reverse_terminates (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.reverse_succeeds (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.gr (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.reverse_fails (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.nil $$unsorted) % 0.41/0.78 (declare-const tptp.a_reverse_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.a_reverse_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.rev (-> $$unsorted $$unsorted)) % 0.41/0.78 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.78 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.n_reverse_fails (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.n_reverse_succeeds (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const |tptp.'0'| $$unsorted) % 0.41/0.78 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.78 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.41/0.78 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 0.41/0.78 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.41/0.78 (define @t1 () (@var "Xx3" $$unsorted)) % 0.41/0.78 (define @t2 () (tptp.s @t1)) % 0.41/0.78 (define @t3 () (@var "Xx5" $$unsorted)) % 0.41/0.78 (define @t4 () (@var "Xx4" $$unsorted)) % 0.41/0.78 (define @t5 () (tptp.cons @t4 @t3)) % 0.41/0.78 (define @t6 () (@list @t4 @t3)) % 0.41/0.78 (define @t7 () (@var "Xx7" $$unsorted)) % 0.41/0.78 (define @t8 () (@var "Xx6" $$unsorted)) % 0.41/0.78 (define @t9 () (tptp.s @t7)) % 0.41/0.78 (define @t10 () (@list @t8 @t7)) % 0.41/0.78 (define @t11 () (@var "Xx8" $$unsorted)) % 0.41/0.78 (define @t12 () (@var "Xx11" $$unsorted)) % 0.41/0.78 (define @t13 () (@var "Xx10" $$unsorted)) % 0.41/0.78 (define @t14 () (@var "Xx9" $$unsorted)) % 0.41/0.78 (define @t15 () (@var "Xx13" $$unsorted)) % 0.41/0.78 (define @t16 () (@var "Xx12" $$unsorted)) % 0.41/0.78 (define @t17 () (@var "Xx17" $$unsorted)) % 0.41/0.78 (define @t18 () (@var "Xx15" $$unsorted)) % 0.41/0.78 (define @t19 () (@var "Xx16" $$unsorted)) % 0.41/0.78 (define @t20 () (@var "Xx14" $$unsorted)) % 0.41/0.78 (define @t21 () (@var "Xx20" $$unsorted)) % 0.41/0.78 (define @t22 () (@var "Xx18" $$unsorted)) % 0.41/0.78 (define @t23 () (@var "Xx21" $$unsorted)) % 0.41/0.78 (define @t24 () (@var "Xx19" $$unsorted)) % 0.41/0.78 (define @t25 () (@var "Xx22" $$unsorted)) % 0.41/0.78 (define @t26 () (@var "Xx24" $$unsorted)) % 0.41/0.78 (define @t27 () (@var "Xx23" $$unsorted)) % 0.41/0.78 (define @t28 () (@var "Xx27" $$unsorted)) % 0.41/0.78 (define @t29 () (@var "Xx26" $$unsorted)) % 0.41/0.78 (define @t30 () (@var "Xx25" $$unsorted)) % 0.41/0.78 (define @t31 () (tptp.a_reverse_fails @t30 @t29 @t28)) % 0.41/0.78 (define @t32 () (tptp.a_reverse_succeeds @t30 @t29 @t28)) % 0.41/0.78 (define @t33 () (@list @t30 @t29 @t28)) % 0.41/0.78 (define @t34 () (@var "Xx29" $$unsorted)) % 0.41/0.78 (define @t35 () (@var "Xx28" $$unsorted)) % 0.41/0.78 (define @t36 () (tptp.reverse_fails @t35 @t34)) % 0.41/0.78 (define @t37 () (tptp.reverse_succeeds @t35 @t34)) % 0.41/0.78 (define @t38 () (@list @t35 @t34)) % 0.41/0.78 (define @t39 () (@var "Xx31" $$unsorted)) % 0.41/0.78 (define @t40 () (@var "Xx30" $$unsorted)) % 0.41/0.78 (define @t41 () (tptp.n_reverse_fails @t40 @t39)) % 0.41/0.78 (define @t42 () (tptp.n_reverse_succeeds @t40 @t39)) % 0.41/0.78 (define @t43 () (@list @t40 @t39)) % 0.41/0.78 (define @t44 () (@var "Xx34" $$unsorted)) % 0.41/0.78 (define @t45 () (@var "Xx33" $$unsorted)) % 0.41/0.78 (define @t46 () (@var "Xx32" $$unsorted)) % 0.41/0.78 (define @t47 () (tptp.member2_fails @t46 @t45 @t44)) % 0.41/0.78 (define @t48 () (tptp.member2_succeeds @t46 @t45 @t44)) % 0.41/0.78 (define @t49 () (@list @t46 @t45 @t44)) % 0.41/0.78 (define @t50 () (@var "Xx37" $$unsorted)) % 0.41/0.78 (define @t51 () (@var "Xx36" $$unsorted)) % 0.41/0.78 (define @t52 () (@var "Xx35" $$unsorted)) % 0.41/0.78 (define @t53 () (tptp.occ_fails @t52 @t51 @t50)) % 0.41/0.78 (define @t54 () (tptp.occ_succeeds @t52 @t51 @t50)) % 0.41/0.78 (define @t55 () (@list @t52 @t51 @t50)) % 0.41/0.78 (define @t56 () (@var "Xx39" $$unsorted)) % 0.41/0.78 (define @t57 () (@var "Xx38" $$unsorted)) % 0.41/0.78 (define @t58 () (tptp.not_same_occ_fails @t57 @t56)) % 0.41/0.78 (define @t59 () (tptp.not_same_occ_succeeds @t57 @t56)) % 0.41/0.78 (define @t60 () (@list @t57 @t56)) % 0.41/0.78 (define @t61 () (@var "Xx41" $$unsorted)) % 0.41/0.78 (define @t62 () (@var "Xx40" $$unsorted)) % 0.41/0.78 (define @t63 () (tptp.same_occ_fails @t62 @t61)) % 0.41/0.78 (define @t64 () (tptp.same_occ_succeeds @t62 @t61)) % 0.41/0.78 (define @t65 () (@list @t62 @t61)) % 0.41/0.78 (define @t66 () (@var "Xx43" $$unsorted)) % 0.41/0.78 (define @t67 () (@var "Xx42" $$unsorted)) % 0.41/0.78 (define @t68 () (tptp.permutation_fails @t67 @t66)) % 0.41/0.78 (define @t69 () (tptp.permutation_succeeds @t67 @t66)) % 0.41/0.78 (define @t70 () (@list @t67 @t66)) % 0.41/0.78 (define @t71 () (@var "Xx46" $$unsorted)) % 0.41/0.78 (define @t72 () (@var "Xx45" $$unsorted)) % 0.41/0.78 (define @t73 () (@var "Xx44" $$unsorted)) % 0.41/0.78 (define @t74 () (tptp.delete_fails @t73 @t72 @t71)) % 0.41/0.78 (define @t75 () (tptp.delete_succeeds @t73 @t72 @t71)) % 0.41/0.78 (define @t76 () (@list @t73 @t72 @t71)) % 0.41/0.78 (define @t77 () (@var "Xx48" $$unsorted)) % 0.41/0.78 (define @t78 () (@var "Xx47" $$unsorted)) % 0.41/0.78 (define @t79 () (tptp.length_fails @t78 @t77)) % 0.41/0.78 (define @t80 () (tptp.length_succeeds @t78 @t77)) % 0.41/0.78 (define @t81 () (@list @t78 @t77)) % 0.41/0.78 (define @t82 () (@var "Xx51" $$unsorted)) % 0.41/0.78 (define @t83 () (@var "Xx50" $$unsorted)) % 0.41/0.78 (define @t84 () (@var "Xx49" $$unsorted)) % 0.41/0.78 (define @t85 () (tptp.append_fails @t84 @t83 @t82)) % 0.41/0.78 (define @t86 () (tptp.append_succeeds @t84 @t83 @t82)) % 0.41/0.78 (define @t87 () (@list @t84 @t83 @t82)) % 0.41/0.78 (define @t88 () (@var "Xx53" $$unsorted)) % 0.41/0.78 (define @t89 () (@var "Xx52" $$unsorted)) % 0.41/0.78 (define @t90 () (tptp.member_fails @t89 @t88)) % 0.41/0.78 (define @t91 () (tptp.member_succeeds @t89 @t88)) % 0.41/0.78 (define @t92 () (@list @t89 @t88)) % 0.41/0.78 (define @t93 () (@var "Xx54" $$unsorted)) % 0.41/0.78 (define @t94 () (tptp.list_fails @t93)) % 0.41/0.78 (define @t95 () (tptp.list_succeeds @t93)) % 0.41/0.78 (define @t96 () (@list @t93)) % 0.41/0.78 (define @t97 () (@var "Xx55" $$unsorted)) % 0.41/0.78 (define @t98 () (tptp.nat_list_fails @t97)) % 0.41/0.78 (define @t99 () (tptp.nat_list_succeeds @t97)) % 0.41/0.78 (define @t100 () (@list @t97)) % 0.41/0.78 (define @t101 () (@var "Xx58" $$unsorted)) % 0.41/0.78 (define @t102 () (@var "Xx57" $$unsorted)) % 0.41/0.78 (define @t103 () (@var "Xx56" $$unsorted)) % 0.41/0.78 (define @t104 () (tptp.times_fails @t103 @t102 @t101)) % 0.41/0.78 (define @t105 () (tptp.times_succeeds @t103 @t102 @t101)) % 0.41/0.78 (define @t106 () (@list @t103 @t102 @t101)) % 0.41/0.78 (define @t107 () (@var "Xx61" $$unsorted)) % 0.41/0.78 (define @t108 () (@var "Xx60" $$unsorted)) % 0.41/0.78 (define @t109 () (@var "Xx59" $$unsorted)) % 0.41/0.78 (define @t110 () (tptp.plus_fails @t109 @t108 @t107)) % 0.41/0.78 (define @t111 () (tptp.plus_succeeds @t109 @t108 @t107)) % 0.41/0.78 (define @t112 () (@list @t109 @t108 @t107)) % 0.41/0.78 (define @t113 () (@var "Xx63" $$unsorted)) % 0.41/0.78 (define @t114 () (@var "Xx62" $$unsorted)) % 0.41/0.78 (define @t115 () (|tptp.'@=<_fails'| @t114 @t113)) % 0.41/0.78 (define @t116 () (|tptp.'@=<_succeeds'| @t114 @t113)) % 0.41/0.78 (define @t117 () (@list @t114 @t113)) % 0.41/0.78 (define @t118 () (@var "Xx65" $$unsorted)) % 0.41/0.78 (define @t119 () (@var "Xx64" $$unsorted)) % 0.41/0.78 (define @t120 () (|tptp.'@<_fails'| @t119 @t118)) % 0.41/0.78 (define @t121 () (|tptp.'@<_succeeds'| @t119 @t118)) % 0.41/0.78 (define @t122 () (@list @t119 @t118)) % 0.41/0.78 (define @t123 () (@var "Xx66" $$unsorted)) % 0.41/0.78 (define @t124 () (tptp.nat_fails @t123)) % 0.41/0.78 (define @t125 () (tptp.nat_succeeds @t123)) % 0.41/0.78 (define @t126 () (@list @t123)) % 0.41/0.78 (define @t127 () (@var "Xx2" $$unsorted)) % 0.41/0.78 (define @t128 () (= @t1 @t127)) % 0.41/0.78 (define @t129 () (@var "Xx1" $$unsorted)) % 0.41/0.78 (define @t130 () (= @t129 tptp.nil)) % 0.41/0.78 (define @t131 () (and @t130 @t128)) % 0.41/0.78 (define @t132 () (tptp.cons @t4 @t127)) % 0.41/0.78 (define @t133 () (= @t129 @t5)) % 0.41/0.78 (define @t134 () (@list @t129 @t127 @t1)) % 0.41/0.78 (define @t135 () (not @t128)) % 0.41/0.78 (define @t136 () (not @t130)) % 0.41/0.78 (define @t137 () (or @t136 @t135)) % 0.41/0.78 (define @t138 () (not @t133)) % 0.41/0.78 (define @t139 () (or @t136 true)) % 0.41/0.78 (define @t140 () (@list @t129 @t127)) % 0.41/0.78 (define @t141 () (= @t127 tptp.nil)) % 0.41/0.78 (define @t142 () (and @t130 @t141)) % 0.41/0.78 (define @t143 () (tptp.cons @t1 tptp.nil)) % 0.41/0.78 (define @t144 () (tptp.cons @t1 @t4)) % 0.41/0.78 (define @t145 () (= @t129 @t144)) % 0.41/0.78 (define @t146 () (@list @t1 @t4 @t3)) % 0.41/0.78 (define @t147 () (not @t141)) % 0.41/0.78 (define @t148 () (or @t136 @t147)) % 0.41/0.78 (define @t149 () (tptp.n_reverse_fails @t4 @t3)) % 0.41/0.78 (define @t150 () (not @t145)) % 0.41/0.78 (define @t151 () (tptp.member_succeeds @t129 @t127)) % 0.41/0.78 (define @t152 () (tptp.member_fails @t129 @t127)) % 0.41/0.78 (define @t153 () (tptp.member_terminates @t129 @t127)) % 0.41/0.78 (define @t154 () (= @t1 |tptp.'0'|)) % 0.41/0.78 (define @t155 () (= @t1 @t9)) % 0.41/0.78 (define @t156 () (= @t127 (tptp.cons @t129 @t8))) % 0.41/0.78 (define @t157 () (= @t129 @t4)) % 0.41/0.78 (define @t158 () (= @t127 @t5)) % 0.41/0.78 (define @t159 () (not @t154)) % 0.41/0.78 (define @t160 () (not @t155)) % 0.41/0.78 (define @t161 () (not @t156)) % 0.41/0.78 (define @t162 () (not @t158)) % 0.41/0.78 (define @t163 () (tptp.gr @t4)) % 0.41/0.78 (define @t164 () (tptp.gr @t129)) % 0.41/0.78 (define @t165 () (= @t4 @t3)) % 0.41/0.78 (define @t166 () (tptp.not_same_occ_succeeds @t129 @t127)) % 0.41/0.78 (define @t167 () (tptp.occ_fails @t1 @t127 @t3)) % 0.41/0.78 (define @t168 () (tptp.occ_fails @t1 @t129 @t4)) % 0.41/0.78 (define @t169 () (tptp.member2_fails @t1 @t129 @t127)) % 0.41/0.78 (define @t170 () (tptp.not_same_occ_fails @t129 @t127)) % 0.41/0.78 (define @t171 () (tptp.not_same_occ_terminates @t129 @t127)) % 0.41/0.78 (define @t172 () (= @t127 @t144)) % 0.41/0.78 (define @t173 () (tptp.delete_fails @t1 @t129 @t3)) % 0.41/0.78 (define @t174 () (not @t172)) % 0.41/0.78 (define @t175 () (= @t127 (tptp.cons @t129 @t1))) % 0.41/0.78 (define @t176 () (= @t1 (tptp.cons @t4 @t8))) % 0.41/0.78 (define @t177 () (@list @t4 @t3 @t8)) % 0.41/0.78 (define @t178 () (not @t176)) % 0.41/0.78 (define @t179 () (= @t127 |tptp.'0'|)) % 0.41/0.78 (define @t180 () (tptp.s @t3)) % 0.41/0.78 (define @t181 () (= @t127 @t180)) % 0.41/0.78 (define @t182 () (not @t181)) % 0.41/0.78 (define @t183 () (= @t127 (tptp.cons @t129 @t3))) % 0.41/0.78 (define @t184 () (@list @t3)) % 0.41/0.78 (define @t185 () (@list @t1 @t4)) % 0.41/0.78 (define @t186 () (tptp.list_succeeds @t1)) % 0.41/0.78 (define @t187 () (tptp.cons @t127 @t1)) % 0.41/0.78 (define @t188 () (= @t129 @t187)) % 0.41/0.78 (define @t189 () (@list @t127 @t1)) % 0.41/0.78 (define @t190 () (@list @t129)) % 0.41/0.78 (define @t191 () (not @t188)) % 0.41/0.78 (define @t192 () (tptp.nat_succeeds @t127)) % 0.41/0.78 (define @t193 () (tptp.nat_fails @t127)) % 0.41/0.78 (define @t194 () (tptp.nat_terminates @t127)) % 0.41/0.78 (define @t195 () (= @t129 |tptp.'0'|)) % 0.41/0.78 (define @t196 () (tptp.s @t4)) % 0.41/0.78 (define @t197 () (= @t129 @t196)) % 0.41/0.78 (define @t198 () (not @t195)) % 0.41/0.78 (define @t199 () (tptp.times_fails @t4 @t127 @t3)) % 0.41/0.78 (define @t200 () (not @t197)) % 0.41/0.78 (define @t201 () (or @t198 true)) % 0.41/0.78 (define @t202 () (= @t1 @t180)) % 0.41/0.78 (define @t203 () (not @t202)) % 0.41/0.78 (define @t204 () (= @t127 @t196)) % 0.41/0.78 (define @t205 () (= @t129 @t2)) % 0.41/0.78 (define @t206 () (not @t204)) % 0.41/0.78 (define @t207 () (not @t205)) % 0.41/0.78 (define @t208 () (= @t129 (tptp.s @t127))) % 0.41/0.78 (define @t209 () (@list @t127)) % 0.41/0.78 (define @t210 () (tptp.nat_succeeds @t129)) % 0.41/0.78 (define @t211 () (not @t208)) % 0.41/0.78 (define @t212 () (@var "Xx" $$unsorted)) % 0.41/0.78 (define @t213 () (tptp.nat_succeeds @t212)) % 0.41/0.78 (define @t214 () (@list @t212)) % 0.41/0.78 (define @t215 () (tptp.gr @t212)) % 0.41/0.78 (define @t216 () (@var "Xz" $$unsorted)) % 0.41/0.78 (define @t217 () (@var "Xy" $$unsorted)) % 0.41/0.78 (define @t218 () (tptp.plus_terminates @t212 @t217 @t216)) % 0.41/0.78 (define @t219 () (@list @t212 @t217 @t216)) % 0.41/0.78 (define @t220 () (tptp.nat_succeeds @t216)) % 0.41/0.78 (define @t221 () (tptp.plus_succeeds @t212 @t217 @t216)) % 0.41/0.78 (define @t222 () (tptp.nat_succeeds @t217)) % 0.41/0.78 (define @t223 () (tptp.gr @t216)) % 0.41/0.78 (define @t224 () (tptp.gr @t217)) % 0.41/0.78 (define @t225 () (@list @t216)) % 0.41/0.78 (define @t226 () (@list @t212 @t217)) % 0.41/0.78 (define @t227 () (@var "Xz2" $$unsorted)) % 0.41/0.78 (define @t228 () (@var "Xz1" $$unsorted)) % 0.41/0.78 (define @t229 () (= @t228 @t227)) % 0.41/0.78 (define @t230 () (@list @t212 @t217 @t228 @t227)) % 0.41/0.78 (define @t231 () (@list @t217)) % 0.41/0.78 (define @t232 () (|tptp.'@+'| @t212 @t217)) % 0.41/0.78 (define @t233 () (tptp.s @t212)) % 0.41/0.78 (define @t234 () (|tptp.'@+'| @t233 @t217)) % 0.41/0.78 (define @t235 () (and @t213 @t222)) % 0.41/0.78 (define @t236 () (|tptp.'@+'| @t217 @t216)) % 0.41/0.78 (define @t237 () (and @t213 @t222 @t220)) % 0.41/0.78 (define @t238 () (tptp.s @t217)) % 0.41/0.78 (define @t239 () (|tptp.'@+'| @t212 @t238)) % 0.41/0.78 (define @t240 () (|tptp.'@+'| @t217 @t212)) % 0.41/0.78 (define @t241 () (|tptp.'@+'| @t212 @t216)) % 0.41/0.78 (define @t242 () (tptp.times_succeeds @t212 @t217 @t216)) % 0.41/0.78 (define @t243 () (|tptp.'@*'| @t212 @t217)) % 0.41/0.78 (define @t244 () (|tptp.'@*'| @t233 @t217)) % 0.41/0.78 (define @t245 () (|tptp.'@*'| @t217 @t216)) % 0.41/0.78 (define @t246 () (|tptp.'@*'| @t212 @t216)) % 0.41/0.78 (define @t247 () (|tptp.'@*'| @t217 @t212)) % 0.41/0.78 (define @t248 () (tptp.s |tptp.'0'|)) % 0.41/0.78 (define @t249 () (|tptp.'@<_terminates'| @t212 @t217)) % 0.41/0.78 (define @t250 () (|tptp.'@<_succeeds'| @t212 @t217)) % 0.41/0.78 (define @t251 () (tptp.s @t216)) % 0.41/0.78 (define @t252 () (|tptp.'@<_succeeds'| @t212 @t216)) % 0.41/0.78 (define @t253 () (|tptp.'@<_succeeds'| @t212 @t238)) % 0.41/0.78 (define @t254 () (|tptp.'@<_succeeds'| @t217 @t216)) % 0.41/0.78 (define @t255 () (= @t212 @t217)) % 0.41/0.78 (define @t256 () (or @t250 @t255)) % 0.41/0.78 (define @t257 () (not (= @t212 |tptp.'0'|))) % 0.41/0.78 (define @t258 () (|tptp.'@=<_succeeds'| @t212 @t217)) % 0.41/0.78 (define @t259 () (|tptp.'@=<_succeeds'| @t217 @t212)) % 0.41/0.78 (define @t260 () (|tptp.'@=<_succeeds'| @t217 @t216)) % 0.41/0.78 (define @t261 () (|tptp.'@<_succeeds'| @t232 @t241)) % 0.41/0.78 (define @t262 () (|tptp.'@<_succeeds'| @t241 @t236)) % 0.41/0.78 (define @t263 () (|tptp.'@=<_succeeds'| @t232 @t241)) % 0.41/0.78 (define @t264 () (and @t258 @t222 @t220)) % 0.41/0.78 (define @t265 () (@var "Xy2" $$unsorted)) % 0.41/0.78 (define @t266 () (@var "Xy1" $$unsorted)) % 0.41/0.78 (define @t267 () (|tptp.'@+'| @t266 @t265)) % 0.41/0.78 (define @t268 () (|tptp.'@+'| @t129 @t127)) % 0.41/0.78 (define @t269 () (tptp.nat_succeeds @t266)) % 0.41/0.78 (define @t270 () (|tptp.'@=<_succeeds'| @t127 @t265)) % 0.41/0.78 (define @t271 () (|tptp.'@=<_succeeds'| @t129 @t266)) % 0.41/0.78 (define @t272 () (@list @t129 @t127 @t266 @t265)) % 0.41/0.78 (define @t273 () (|tptp.'@<_succeeds'| @t268 @t267)) % 0.41/0.78 (define @t274 () (|tptp.'@<_succeeds'| @t129 @t266)) % 0.41/0.78 (define @t275 () (|tptp.'@<_succeeds'| @t127 @t265)) % 0.41/0.78 (define @t276 () (tptp.cons @t212 tptp.nil)) % 0.41/0.78 (define @t277 () (tptp.cons @t217 tptp.nil)) % 0.41/0.78 (define @t278 () (tptp.cons @t212 @t277)) % 0.41/0.78 (define @t279 () (tptp.cons @t212 (tptp.cons @t217 (tptp.cons @t216 tptp.nil)))) % 0.41/0.78 (define @t280 () (@var "Xl" $$unsorted)) % 0.41/0.78 (define @t281 () (tptp.list_succeeds @t280)) % 0.41/0.78 (define @t282 () (tptp.cons @t212 @t280)) % 0.41/0.78 (define @t283 () (@list @t212 @t280)) % 0.41/0.78 (define @t284 () (@list @t280)) % 0.41/0.78 (define @t285 () (tptp.member_fails @t212 @t280)) % 0.41/0.78 (define @t286 () (tptp.member_succeeds @t212 @t280)) % 0.41/0.78 (define @t287 () (tptp.gr @t280)) % 0.41/0.78 (define @t288 () (not @t255)) % 0.41/0.78 (define @t289 () (tptp.cons @t217 @t280)) % 0.41/0.78 (define @t290 () (@var "Xl1" $$unsorted)) % 0.41/0.78 (define @t291 () (tptp.list_succeeds @t290)) % 0.41/0.78 (define @t292 () (@var "Xl3" $$unsorted)) % 0.41/0.78 (define @t293 () (@var "Xl2" $$unsorted)) % 0.41/0.78 (define @t294 () (tptp.append_succeeds @t290 @t293 @t292)) % 0.41/0.78 (define @t295 () (@list @t290 @t293 @t292)) % 0.41/0.78 (define @t296 () (tptp.list_succeeds @t292)) % 0.41/0.78 (define @t297 () (tptp.list_succeeds @t293)) % 0.41/0.78 (define @t298 () (and @t294 @t296)) % 0.41/0.78 (define @t299 () (and @t291 @t297)) % 0.41/0.78 (define @t300 () (tptp.append_terminates @t290 @t293 @t292)) % 0.41/0.78 (define @t301 () (tptp.gr @t292)) % 0.41/0.78 (define @t302 () (tptp.gr @t293)) % 0.41/0.78 (define @t303 () (tptp.gr @t290)) % 0.41/0.78 (define @t304 () (and @t303 @t302)) % 0.41/0.78 (define @t305 () (@list @t292)) % 0.41/0.78 (define @t306 () (@list @t290 @t293)) % 0.41/0.78 (define @t307 () (@var "Xl4" $$unsorted)) % 0.41/0.78 (define @t308 () (@list @t290 @t293 @t292 @t307)) % 0.41/0.78 (define @t309 () (|tptp.'**'| @t290 @t293)) % 0.41/0.78 (define @t310 () (tptp.cons @t212 @t290)) % 0.41/0.78 (define @t311 () (@list @t212 @t290 @t293)) % 0.41/0.78 (define @t312 () (tptp.list_succeeds @t309)) % 0.41/0.78 (define @t313 () (tptp.gr @t309)) % 0.41/0.78 (define @t314 () (|tptp.'**'| @t293 @t292)) % 0.41/0.78 (define @t315 () (@var "Xn" $$unsorted)) % 0.41/0.78 (define @t316 () (tptp.nat_succeeds @t315)) % 0.41/0.78 (define @t317 () (and @t281 @t316)) % 0.41/0.78 (define @t318 () (tptp.length_succeeds @t280 @t315)) % 0.41/0.78 (define @t319 () (@list @t280 @t315)) % 0.41/0.78 (define @t320 () (tptp.gr @t315)) % 0.41/0.78 (define @t321 () (@list @t315)) % 0.41/0.78 (define @t322 () (@var "Xm" $$unsorted)) % 0.41/0.78 (define @t323 () (= @t322 @t315)) % 0.41/0.78 (define @t324 () (tptp.lh @t280)) % 0.41/0.78 (define @t325 () (tptp.lh @t282)) % 0.41/0.78 (define @t326 () (= @t280 tptp.nil)) % 0.41/0.78 (define @t327 () (tptp.cons @t212 @t293)) % 0.41/0.78 (define @t328 () (tptp.s @t315)) % 0.41/0.78 (define @t329 () (tptp.lh @t290)) % 0.41/0.78 (define @t330 () (tptp.lh @t293)) % 0.41/0.78 (define @t331 () (|tptp.'@+'| @t329 @t330)) % 0.41/0.78 (define @t332 () (tptp.lh @t309)) % 0.41/0.78 (define @t333 () (tptp.lh @t292)) % 0.41/0.78 (define @t334 () (@var "Xi" $$unsorted)) % 0.41/0.78 (define @t335 () (tptp.cons @t212 @t334)) % 0.41/0.78 (define @t336 () (@var "Xk" $$unsorted)) % 0.41/0.78 (define @t337 () (@var "Xj" $$unsorted)) % 0.41/0.78 (define @t338 () (tptp.sub @t334 @t337)) % 0.41/0.78 (define @t339 () (@list @t212 @t334 @t337)) % 0.41/0.78 (define @t340 () (tptp.append_succeeds @t290 @t327 @t292)) % 0.41/0.78 (define @t341 () (tptp.member_succeeds @t212 @t292)) % 0.41/0.78 (define @t342 () (tptp.member_succeeds @t212 @t290)) % 0.41/0.78 (define @t343 () (@list @t212 @t290 @t293 @t292)) % 0.41/0.78 (define @t344 () (tptp.member_succeeds @t212 @t293)) % 0.41/0.78 (define @t345 () (tptp.member_succeeds @t212 @t309)) % 0.41/0.78 (define @t346 () (or @t342 @t344)) % 0.41/0.78 (define @t347 () (tptp.nat_list_succeeds @t280)) % 0.41/0.78 (define @t348 () (|tptp.'@<_succeeds'| @t331 @t315)) % 0.41/0.78 (define @t349 () (tptp.delete_terminates @t212 @t290 @t293)) % 0.41/0.78 (define @t350 () (tptp.delete_succeeds @t212 @t290 @t293)) % 0.41/0.78 (define @t351 () (and @t350 @t291)) % 0.41/0.78 (define @t352 () (|tptp.'**'| @t292 @t307)) % 0.41/0.78 (define @t353 () (tptp.nat_list_succeeds @t293)) % 0.41/0.78 (define @t354 () (tptp.nat_list_succeeds @t290)) % 0.41/0.78 (define @t355 () (tptp.member_succeeds @t217 @t293)) % 0.41/0.78 (define @t356 () (tptp.member_succeeds @t217 @t290)) % 0.41/0.78 (define @t357 () (@list @t212 @t217 @t290 @t293)) % 0.41/0.78 (define @t358 () (@list @t293)) % 0.41/0.78 (define @t359 () (exists @t358 @t350)) % 0.41/0.78 (define @t360 () (tptp.permutation_succeeds @t290 @t293)) % 0.41/0.78 (define @t361 () (tptp.permutation_terminates @t290 @t293)) % 0.41/0.78 (define @t362 () (@list @t212 @t280 @t315)) % 0.41/0.78 (define @t363 () (tptp.occ_succeeds @t212 @t280 @t315)) % 0.41/0.78 (define @t364 () (and @t291 @t297 @t303 @t302)) % 0.41/0.78 (define @t365 () (tptp.occ_succeeds @t212 @t280 @t322)) % 0.41/0.78 (define @t366 () (tptp.occ @t212 @t280)) % 0.41/0.78 (define @t367 () (tptp.occ @t212 @t293)) % 0.41/0.78 (define @t368 () (tptp.occ @t212 @t290)) % 0.41/0.78 (define @t369 () (forall @t214 (= @t368 @t367))) % 0.41/0.78 (define @t370 () (tptp.same_occ_succeeds @t290 @t293)) % 0.41/0.78 (define @t371 () (= @t366 |tptp.'0'|)) % 0.41/0.78 (define @t372 () (@list @t290)) % 0.41/0.78 (define @t373 () (and @t291 @t297 @t370)) % 0.41/0.78 (define @t374 () (tptp.permutation_succeeds @t290 @t292)) % 0.41/0.78 (define @t375 () (= @t366 @t328)) % 0.41/0.78 (define @t376 () (tptp.n_reverse_succeeds @t290 @t293)) % 0.41/0.78 (define @t377 () (tptp.rev @t290)) % 0.41/0.78 (define @t378 () (tptp.a_reverse_succeeds @t290 @t293 @t292)) % 0.41/0.78 (define @t379 () (= @t293 @t292)) % 0.41/0.78 (define @t380 () (tptp.n_reverse_succeeds @t290 @t292)) % 0.41/0.78 (define @t381 () (tptp.rev tptp.nil)) % 0.41/0.78 (define @t382 () (tptp.rev @t280)) % 0.41/0.78 (define @t383 () (tptp.list_succeeds @t382)) % 0.41/0.78 (define @t384 () (forall @t284 (=> @t281 @t383))) % 0.41/0.78 (define @t385 () (= (tptp.rev @t282) (|tptp.'**'| @t382 @t276))) % 0.41/0.78 (define @t386 () (forall @t283 (=> @t281 @t385))) % 0.41/0.78 (define @t387 () (tptp.cons @t217 @t276)) % 0.41/0.78 (define @t388 () (= (tptp.rev (|tptp.'**'| @t280 @t277)) (tptp.cons @t217 @t382))) % 0.41/0.78 (define @t389 () (forall (@list @t280 @t217) (=> @t281 @t388))) % 0.41/0.78 (define @t390 () (tptp.rev @t382)) % 0.41/0.78 (define @t391 () (= @t390 @t280)) % 0.41/0.78 (define @t392 () (=> @t281 @t391)) % 0.41/0.78 (define @t393 () (forall @t284 @t392)) % 0.41/0.78 (define @t394 () (tptp.rev (tptp.rev @t1))) % 0.41/0.78 (define @t395 () (and (= @t280 @t187) @t186 (= @t394 @t1))) % 0.41/0.78 (define @t396 () (exists @t189 @t395)) % 0.41/0.78 (define @t397 () (or @t396 @t326)) % 0.41/0.78 (define @t398 () (=> @t397 @t391)) % 0.41/0.78 (define @t399 () (forall @t284 @t398)) % 0.41/0.78 (define @t400 () (=> @t399 @t393)) % 0.41/0.78 (define @t401 () (not @t393)) % 0.41/0.78 (define @t402 () (= @t280 @t390)) % 0.41/0.78 (define @t403 () (= tptp.nil (tptp.rev @t381))) % 0.41/0.78 (define @t404 () (not (= tptp.nil tptp.nil))) % 0.41/0.78 (define @t405 () (or @t404 @t403)) % 0.41/0.78 (define @t406 () (@var "BOUND_VARIABLE_11364" $$unsorted)) % 0.41/0.78 (define @t407 () (= @t406 (tptp.rev (tptp.rev @t406)))) % 0.41/0.78 (define @t408 () (not (= tptp.nil @t406))) % 0.41/0.78 (define @t409 () (@list @t406)) % 0.41/0.78 (define @t410 () (or @t408 @t408 @t407)) % 0.41/0.78 (define @t411 () (or @t408 @t407)) % 0.41/0.78 (define @t412 () (forall @t409 @t411)) % 0.41/0.78 (define @t413 () (@var "BOUND_VARIABLE_11368" $$unsorted)) % 0.41/0.78 (define @t414 () (@var "BOUND_VARIABLE_11366" $$unsorted)) % 0.41/0.78 (define @t415 () (forall (@list @t406 @t414 @t413) @t411)) % 0.41/0.78 (define @t416 () (@var "BOUND_VARIABLE_11347" $$unsorted)) % 0.41/0.78 (define @t417 () (not (= @t416 (tptp.rev (tptp.rev @t416))))) % 0.41/0.78 (define @t418 () (not (tptp.list_succeeds @t416))) % 0.41/0.78 (define @t419 () (@var "BOUND_VARIABLE_11345" $$unsorted)) % 0.41/0.78 (define @t420 () (tptp.cons @t419 @t416)) % 0.41/0.78 (define @t421 () (= @t420 (tptp.rev (tptp.rev @t420)))) % 0.41/0.78 (define @t422 () (or @t421 @t418 @t417)) % 0.41/0.78 (define @t423 () (not (= @t420 @t420))) % 0.41/0.78 (define @t424 () (or @t421 @t423 @t418 @t417)) % 0.41/0.78 (define @t425 () (@list @t419 @t416)) % 0.41/0.78 (define @t426 () (@var "BOUND_VARIABLE_11343" $$unsorted)) % 0.41/0.78 (define @t427 () (not (= @t426 @t420))) % 0.41/0.78 (define @t428 () (= @t426 (tptp.rev (tptp.rev @t426)))) % 0.41/0.78 (define @t429 () (or @t427 @t428 @t427 @t418 @t417)) % 0.41/0.78 (define @t430 () (@list @t426)) % 0.41/0.78 (define @t431 () (or @t428 @t427 @t418 @t417)) % 0.41/0.78 (define @t432 () (forall @t430 @t431)) % 0.41/0.78 (define @t433 () (forall @t425 @t432)) % 0.41/0.78 (define @t434 () (forall (@list @t419 @t416 @t426) @t431)) % 0.41/0.78 (define @t435 () (forall (@list @t426 @t419 @t416) @t431)) % 0.41/0.78 (define @t436 () (= tptp.nil @t280)) % 0.41/0.78 (define @t437 () (not @t436)) % 0.41/0.78 (define @t438 () (or @t437 @t402)) % 0.41/0.78 (define @t439 () (@var "BOUND_VARIABLE_11314" $$unsorted)) % 0.41/0.78 (define @t440 () (@var "BOUND_VARIABLE_11312" $$unsorted)) % 0.41/0.78 (define @t441 () (@list @t280 @t440 @t439)) % 0.41/0.78 (define @t442 () (forall @t441 @t438)) % 0.41/0.78 (define @t443 () (@list @t280 @t440 @t439)) % 0.41/0.78 (define @t444 () (not (= @t439 (tptp.rev (tptp.rev @t439))))) % 0.41/0.78 (define @t445 () (not (tptp.list_succeeds @t439))) % 0.41/0.78 (define @t446 () (tptp.cons @t440 @t439)) % 0.41/0.78 (define @t447 () (not (= @t280 @t446))) % 0.41/0.78 (define @t448 () (or @t402 @t447 @t445 @t444)) % 0.41/0.78 (define @t449 () (forall @t441 @t448)) % 0.41/0.78 (define @t450 () (and @t449 @t442)) % 0.41/0.78 (define @t451 () (or @t447 @t445 @t444)) % 0.41/0.78 (define @t452 () (or @t451 @t402)) % 0.41/0.78 (define @t453 () (and @t452 @t438)) % 0.41/0.78 (define @t454 () (not (= @t446 @t280))) % 0.41/0.78 (define @t455 () (or @t454 @t445 @t444)) % 0.41/0.78 (define @t456 () (and @t455 @t437)) % 0.41/0.78 (define @t457 () (or @t456 @t402)) % 0.41/0.78 (define @t458 () (forall @t441 @t457)) % 0.41/0.78 (define @t459 () (@list @t440 @t439)) % 0.41/0.78 (define @t460 () (forall @t459 @t457)) % 0.41/0.78 (define @t461 () (forall @t459 @t437)) % 0.41/0.78 (define @t462 () (forall @t459 @t455)) % 0.41/0.78 (define @t463 () (and @t462 @t461)) % 0.41/0.78 (define @t464 () (forall @t459 @t456)) % 0.41/0.78 (define @t465 () (or @t464 @t402)) % 0.41/0.78 (define @t466 () (= @t1 @t394)) % 0.41/0.78 (define @t467 () (not @t466)) % 0.41/0.78 (define @t468 () (not @t186)) % 0.41/0.78 (define @t469 () (= @t187 @t280)) % 0.41/0.78 (define @t470 () (not @t469)) % 0.41/0.78 (define @t471 () (or @t470 @t468 @t467)) % 0.41/0.78 (define @t472 () (forall @t189 @t471)) % 0.41/0.78 (define @t473 () (not @t472)) % 0.41/0.78 (define @t474 () (or @t473 @t436)) % 0.41/0.78 (define @t475 () (and @t469 @t186 @t466)) % 0.41/0.78 (define @t476 () (forall @t189 (not @t475))) % 0.41/0.78 (define @t477 () (not @t476)) % 0.41/0.78 (define @t478 () (forall @t425 @t422)) % 0.41/0.78 (define @t479 () (and @t478 @t403)) % 0.41/0.78 (define @t480 () (not @t479)) % 0.41/0.78 (define @t481 () (forall @t284 (or (not @t281) @t402))) % 0.41/0.78 (define @t482 () (@list true)) % 0.41/0.78 (define @t483 () (@quantifiers_skolemize @t478 1)) % 0.41/0.78 (define @t484 () (tptp.rev @t483)) % 0.41/0.78 (define @t485 () (tptp.rev @t484)) % 0.41/0.78 (define @t486 () (= @t483 @t485)) % 0.41/0.78 (define @t487 () (not @t486)) % 0.41/0.78 (define @t488 () (tptp.list_succeeds @t483)) % 0.41/0.78 (define @t489 () (not @t488)) % 0.41/0.78 (define @t490 () (@quantifiers_skolemize @t478 0)) % 0.41/0.78 (define @t491 () (tptp.cons @t490 @t483)) % 0.41/0.78 (define @t492 () (tptp.rev @t491)) % 0.41/0.78 (define @t493 () (= @t491 (tptp.rev @t492))) % 0.41/0.78 (define @t494 () (or @t493 @t489 @t487)) % 0.41/0.78 (define @t495 () (@list @t494)) % 0.41/0.78 (define @t496 () (|tptp.'**'| @t484 (tptp.cons @t490 tptp.nil))) % 0.41/0.78 (define @t497 () (= @t492 @t496)) % 0.41/0.78 (define @t498 () (or @t489 @t497)) % 0.41/0.78 (define @t499 () (@list false false)) % 0.41/0.78 (define @t500 () (tptp.list_succeeds @t484)) % 0.41/0.78 (define @t501 () (or @t489 @t500)) % 0.41/0.78 (define @t502 () (tptp.rev @t496)) % 0.41/0.78 (define @t503 () (= @t502 (tptp.cons @t490 @t485))) % 0.41/0.78 (define @t504 () (not @t500)) % 0.41/0.78 (define @t505 () (or @t504 @t503)) % 0.41/0.78 (define @t506 () (and @t486 @t497 @t503)) % 0.41/0.78 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 0.41/0.78 (assume @p2 (not (= |tptp.'0'| tptp.nil))) % 0.41/0.78 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 0.41/0.78 (assume @p4 (forall @t10 (=> (= (tptp.s @t8) @t9) (= @t8 @t7)))) % 0.41/0.78 (assume @p5 (forall (@list @t11) (not (= tptp.nil (tptp.s @t11))))) % 0.41/0.78 (assume @p6 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 0.41/0.78 (assume @p7 (forall (@list @t16 @t15) (not (= tptp.nil (tptp.cons @t16 @t15))))) % 0.41/0.78 (assume @p8 (forall (@list @t20 @t18 @t19 @t17) (=> (= (tptp.cons @t20 @t18) (tptp.cons @t19 @t17)) (= @t18 @t17)))) % 0.41/0.78 (assume @p9 (forall (@list @t22 @t24 @t21 @t23) (=> (= (tptp.cons @t22 @t24) (tptp.cons @t21 @t23)) (= @t22 @t21)))) % 0.41/0.78 (assume @p10 (tptp.gr |tptp.'0'|)) % 0.41/0.78 (assume @p11 (forall (@list @t25) (= (tptp.gr @t25) (tptp.gr (tptp.s @t25))))) % 0.41/0.78 (assume @p12 (tptp.gr tptp.nil)) % 0.41/0.78 (assume @p13 (forall (@list @t27 @t26) (= (and (tptp.gr @t27) (tptp.gr @t26)) (tptp.gr (tptp.cons @t27 @t26))))) % 0.41/0.78 (assume @p14 (forall @t33 (not (and @t32 @t31)))) % 0.41/0.78 (assume @p15 (forall @t33 (=> (tptp.a_reverse_terminates @t30 @t29 @t28) (or @t32 @t31)))) % 0.41/0.78 (assume @p16 (forall @t38 (not (and @t37 @t36)))) % 0.41/0.78 (assume @p17 (forall @t38 (=> (tptp.reverse_terminates @t35 @t34) (or @t37 @t36)))) % 0.41/0.78 (assume @p18 (forall @t43 (not (and @t42 @t41)))) % 0.41/0.78 (assume @p19 (forall @t43 (=> (tptp.n_reverse_terminates @t40 @t39) (or @t42 @t41)))) % 0.41/0.78 (assume @p20 (forall @t49 (not (and @t48 @t47)))) % 0.41/0.78 (assume @p21 (forall @t49 (=> (tptp.member2_terminates @t46 @t45 @t44) (or @t48 @t47)))) % 0.41/0.78 (assume @p22 (forall @t55 (not (and @t54 @t53)))) % 0.41/0.78 (assume @p23 (forall @t55 (=> (tptp.occ_terminates @t52 @t51 @t50) (or @t54 @t53)))) % 0.41/0.78 (assume @p24 (forall @t60 (not (and @t59 @t58)))) % 0.41/0.78 (assume @p25 (forall @t60 (=> (tptp.not_same_occ_terminates @t57 @t56) (or @t59 @t58)))) % 0.41/0.78 (assume @p26 (forall @t65 (not (and @t64 @t63)))) % 0.41/0.78 (assume @p27 (forall @t65 (=> (tptp.same_occ_terminates @t62 @t61) (or @t64 @t63)))) % 0.41/0.78 (assume @p28 (forall @t70 (not (and @t69 @t68)))) % 0.41/0.78 (assume @p29 (forall @t70 (=> (tptp.permutation_terminates @t67 @t66) (or @t69 @t68)))) % 0.41/0.78 (assume @p30 (forall @t76 (not (and @t75 @t74)))) % 0.41/0.78 (assume @p31 (forall @t76 (=> (tptp.delete_terminates @t73 @t72 @t71) (or @t75 @t74)))) % 0.41/0.78 (assume @p32 (forall @t81 (not (and @t80 @t79)))) % 0.41/0.78 (assume @p33 (forall @t81 (=> (tptp.length_terminates @t78 @t77) (or @t80 @t79)))) % 0.41/0.78 (assume @p34 (forall @t87 (not (and @t86 @t85)))) % 0.41/0.78 (assume @p35 (forall @t87 (=> (tptp.append_terminates @t84 @t83 @t82) (or @t86 @t85)))) % 0.41/0.78 (assume @p36 (forall @t92 (not (and @t91 @t90)))) % 0.41/0.78 (assume @p37 (forall @t92 (=> (tptp.member_terminates @t89 @t88) (or @t91 @t90)))) % 0.41/0.78 (assume @p38 (forall @t96 (not (and @t95 @t94)))) % 0.41/0.78 (assume @p39 (forall @t96 (=> (tptp.list_terminates @t93) (or @t95 @t94)))) % 0.41/0.78 (assume @p40 (forall @t100 (not (and @t99 @t98)))) % 0.41/0.78 (assume @p41 (forall @t100 (=> (tptp.nat_list_terminates @t97) (or @t99 @t98)))) % 0.41/0.78 (assume @p42 (forall @t106 (not (and @t105 @t104)))) % 0.41/0.78 (assume @p43 (forall @t106 (=> (tptp.times_terminates @t103 @t102 @t101) (or @t105 @t104)))) % 0.41/0.78 (assume @p44 (forall @t112 (not (and @t111 @t110)))) % 0.41/0.78 (assume @p45 (forall @t112 (=> (tptp.plus_terminates @t109 @t108 @t107) (or @t111 @t110)))) % 0.41/0.78 (assume @p46 (forall @t117 (not (and @t116 @t115)))) % 0.41/0.78 (assume @p47 (forall @t117 (=> (|tptp.'@=<_terminates'| @t114 @t113) (or @t116 @t115)))) % 0.41/0.78 (assume @p48 (forall @t122 (not (and @t121 @t120)))) % 0.41/0.78 (assume @p49 (forall @t122 (=> (|tptp.'@<_terminates'| @t119 @t118) (or @t121 @t120)))) % 0.41/0.78 (assume @p50 (forall @t126 (not (and @t125 @t124)))) % 0.41/0.78 (assume @p51 (forall @t126 (=> (tptp.nat_terminates @t123) (or @t125 @t124)))) % 0.41/0.78 (assume @p52 (forall @t134 (= (tptp.a_reverse_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t133 (tptp.a_reverse_succeeds @t3 @t132 @t1))) @t131)))) % 0.41/0.78 (assume @p53 (forall @t134 (= (tptp.a_reverse_fails @t129 @t127 @t1) (and (forall @t6 (or @t138 (tptp.a_reverse_fails @t3 @t132 @t1))) @t137)))) % 0.41/0.78 (assume @p54 (forall @t134 (= (tptp.a_reverse_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t138 (tptp.a_reverse_terminates @t3 @t132 @t1)))) true @t139)))) % 0.41/0.78 (assume @p55 (forall @t140 (= (tptp.reverse_succeeds @t129 @t127) (tptp.a_reverse_succeeds @t129 tptp.nil @t127)))) % 0.41/0.78 (assume @p56 (forall @t140 (= (tptp.reverse_fails @t129 @t127) (tptp.a_reverse_fails @t129 tptp.nil @t127)))) % 0.41/0.78 (assume @p57 (forall @t140 (= (tptp.reverse_terminates @t129 @t127) (tptp.a_reverse_terminates @t129 tptp.nil @t127)))) % 0.41/0.78 (assume @p58 (forall @t140 (= (tptp.n_reverse_succeeds @t129 @t127) (or (exists @t146 (and @t145 (tptp.n_reverse_succeeds @t4 @t3) (tptp.append_succeeds @t3 @t143 @t127))) @t142)))) % 0.41/0.78 (assume @p59 (forall @t140 (= (tptp.n_reverse_fails @t129 @t127) (and (forall @t146 (or @t150 @t149 (tptp.append_fails @t3 @t143 @t127))) @t148)))) % 0.41/0.78 (assume @p60 (forall @t140 (= (tptp.n_reverse_terminates @t129 @t127) (and (forall @t146 (and true (or @t150 (and (tptp.n_reverse_terminates @t4 @t3) (or @t149 (tptp.append_terminates @t3 @t143 @t127)))))) true @t139)))) % 0.41/0.78 (assume @p61 (forall @t134 (= (tptp.member2_succeeds @t129 @t127 @t1) (or (tptp.member_succeeds @t129 @t1) @t151)))) % 0.41/0.78 (assume @p62 (forall @t134 (= (tptp.member2_fails @t129 @t127 @t1) (and (tptp.member_fails @t129 @t1) @t152)))) % 0.41/0.78 (assume @p63 (forall @t134 (= (tptp.member2_terminates @t129 @t127 @t1) (and (tptp.member_terminates @t129 @t1) @t153)))) % 0.41/0.78 (assume @p64 (forall @t134 (= (tptp.occ_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t158 (not @t157) (tptp.occ_succeeds @t129 @t3 @t1))) (exists @t10 (and @t156 @t155 (tptp.occ_succeeds @t129 @t8 @t7))) (and @t141 @t154))))) % 0.41/0.78 (assume @p65 (forall @t134 (= (tptp.occ_fails @t129 @t127 @t1) (and (forall @t6 (or @t162 @t157 (tptp.occ_fails @t129 @t3 @t1))) (forall @t10 (or @t161 @t160 (tptp.occ_fails @t129 @t8 @t7))) (or @t147 @t159))))) % 0.41/0.78 (assume @p66 (forall @t134 (= (tptp.occ_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t162 (and true @t164 @t163 (or @t157 (tptp.occ_terminates @t129 @t3 @t1)))))) (forall @t10 (and true (or @t161 (and true (or @t160 (tptp.occ_terminates @t129 @t8 @t7)))))) true (or @t147 true))))) % 0.41/0.78 (assume @p67 (forall @t140 (= @t166 (exists @t146 (and (tptp.member2_succeeds @t1 @t129 @t127) (tptp.occ_succeeds @t1 @t129 @t4) (tptp.occ_succeeds @t1 @t127 @t3) (not @t165)))))) % 0.41/0.78 (assume @p68 (forall @t140 (= @t170 (forall @t146 (or @t169 @t168 @t167 @t165))))) % 0.41/0.78 (assume @p69 (forall @t140 (= @t171 (forall @t146 (and (tptp.member2_terminates @t1 @t129 @t127) (or @t169 (and (tptp.occ_terminates @t1 @t129 @t4) (or @t168 (and (tptp.occ_terminates @t1 @t127 @t3) (or @t167 (and true @t163 (tptp.gr @t3)))))))))))) % 0.41/0.78 (assume @p70 (forall @t140 (= (tptp.same_occ_succeeds @t129 @t127) @t170))) % 0.41/0.78 (assume @p71 (forall @t140 (= (tptp.same_occ_fails @t129 @t127) @t166))) % 0.41/0.78 (assume @p72 (forall @t140 (= (tptp.same_occ_terminates @t129 @t127) (and @t171 @t164 (tptp.gr @t127))))) % 0.41/0.78 (assume @p73 (forall @t140 (= (tptp.permutation_succeeds @t129 @t127) (or (exists @t146 (and @t172 (tptp.delete_succeeds @t1 @t129 @t3) (tptp.permutation_succeeds @t3 @t4))) @t142)))) % 0.41/0.78 (assume @p74 (forall @t140 (= (tptp.permutation_fails @t129 @t127) (and (forall @t146 (or @t174 @t173 (tptp.permutation_fails @t3 @t4))) @t148)))) % 0.41/0.78 (assume @p75 (forall @t140 (= (tptp.permutation_terminates @t129 @t127) (and (forall @t146 (and true (or @t174 (and (tptp.delete_terminates @t1 @t129 @t3) (or @t173 (tptp.permutation_terminates @t3 @t4)))))) true @t139)))) % 0.41/0.78 (assume @p76 (forall @t134 (= (tptp.delete_succeeds @t129 @t127 @t1) (or (exists @t177 (and @t158 @t176 (tptp.delete_succeeds @t129 @t3 @t8))) @t175)))) % 0.41/0.78 (assume @p77 (forall @t134 (= (tptp.delete_fails @t129 @t127 @t1) (and (forall @t177 (or @t162 @t178 (tptp.delete_fails @t129 @t3 @t8))) (not @t175))))) % 0.41/0.78 (assume @p78 (forall @t134 (= (tptp.delete_terminates @t129 @t127 @t1) (and (forall @t177 (and true (or @t162 (and true (or @t178 (tptp.delete_terminates @t129 @t3 @t8)))))) true)))) % 0.41/0.78 (assume @p79 (forall @t140 (= (tptp.length_succeeds @t129 @t127) (or (exists @t146 (and @t145 @t181 (tptp.length_succeeds @t4 @t3))) (and @t130 @t179))))) % 0.41/0.78 (assume @p80 (forall @t140 (= (tptp.length_fails @t129 @t127) (and (forall @t146 (or @t150 @t182 (tptp.length_fails @t4 @t3))) (or @t136 (not @t179)))))) % 0.41/0.78 (assume @p81 (forall @t140 (= (tptp.length_terminates @t129 @t127) (and (forall @t146 (and true (or @t150 (and true (or @t182 (tptp.length_terminates @t4 @t3)))))) true @t139)))) % 0.41/0.78 (assume @p82 (forall @t134 (= (tptp.append_succeeds @t129 @t127 @t1) (or (exists @t177 (and @t133 @t176 (tptp.append_succeeds @t3 @t127 @t8))) @t131)))) % 0.41/0.78 (assume @p83 (forall @t134 (= (tptp.append_fails @t129 @t127 @t1) (and (forall @t177 (or @t138 @t178 (tptp.append_fails @t3 @t127 @t8))) @t137)))) % 0.41/0.78 (assume @p84 (forall @t134 (= (tptp.append_terminates @t129 @t127 @t1) (and (forall @t177 (and true (or @t138 (and true (or @t178 (tptp.append_terminates @t3 @t127 @t8)))))) true @t139)))) % 0.41/0.78 (assume @p85 (forall @t140 (= @t151 (or (exists @t185 (and @t172 (tptp.member_succeeds @t129 @t4))) (exists @t184 @t183))))) % 0.41/0.78 (assume @p86 (forall @t140 (= @t152 (and (forall @t185 (or @t174 (tptp.member_fails @t129 @t4))) (forall @t184 (not @t183)))))) % 0.41/0.78 (assume @p87 (forall @t140 (= @t153 (and (forall @t185 (and true (or @t174 (tptp.member_terminates @t129 @t4)))) (forall @t184 true))))) % 0.41/0.78 (assume @p88 (forall @t190 (= (tptp.list_succeeds @t129) (or (exists @t189 (and @t188 @t186)) @t130)))) % 0.41/0.78 (assume @p89 (forall @t190 (= (tptp.list_fails @t129) (and (forall @t189 (or @t191 (tptp.list_fails @t1))) @t136)))) % 0.41/0.78 (assume @p90 (forall @t190 (= (tptp.list_terminates @t129) (and (forall @t189 (and true (or @t191 (tptp.list_terminates @t1)))) true)))) % 0.41/0.78 (assume @p91 (forall @t190 (= (tptp.nat_list_succeeds @t129) (or (exists @t189 (and @t188 @t192 (tptp.nat_list_succeeds @t1))) @t130)))) % 0.41/0.78 (assume @p92 (forall @t190 (= (tptp.nat_list_fails @t129) (and (forall @t189 (or @t191 @t193 (tptp.nat_list_fails @t1))) @t136)))) % 0.41/0.78 (assume @p93 (forall @t190 (= (tptp.nat_list_terminates @t129) (and (forall @t189 (and true (or @t191 (and @t194 (or @t193 (tptp.nat_list_terminates @t1)))))) true)))) % 0.41/0.78 (assume @p94 (forall @t134 (= (tptp.times_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t197 (tptp.times_succeeds @t4 @t127 @t3) (tptp.plus_succeeds @t127 @t3 @t1))) (and @t195 @t154))))) % 0.41/0.78 (assume @p95 (forall @t134 (= (tptp.times_fails @t129 @t127 @t1) (and (forall @t6 (or @t200 @t199 (tptp.plus_fails @t127 @t3 @t1))) (or @t198 @t159))))) % 0.41/0.78 (assume @p96 (forall @t134 (= (tptp.times_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t200 (and (tptp.times_terminates @t4 @t127 @t3) (or @t199 (tptp.plus_terminates @t127 @t3 @t1)))))) true @t201)))) % 0.41/0.78 (assume @p97 (forall @t134 (= (tptp.plus_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t197 @t202 (tptp.plus_succeeds @t4 @t127 @t3))) (and @t195 @t128))))) % 0.41/0.78 (assume @p98 (forall @t134 (= (tptp.plus_fails @t129 @t127 @t1) (and (forall @t6 (or @t200 @t203 (tptp.plus_fails @t4 @t127 @t3))) (or @t198 @t135))))) % 0.41/0.78 (assume @p99 (forall @t134 (= (tptp.plus_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t200 (and true (or @t203 (tptp.plus_terminates @t4 @t127 @t3)))))) true @t201)))) % 0.41/0.78 (assume @p100 (forall @t140 (= (|tptp.'@=<_succeeds'| @t129 @t127) (or (exists @t185 (and @t205 @t204 (|tptp.'@=<_succeeds'| @t1 @t4))) @t195)))) % 0.41/0.78 (assume @p101 (forall @t140 (= (|tptp.'@=<_fails'| @t129 @t127) (and (forall @t185 (or @t207 @t206 (|tptp.'@=<_fails'| @t1 @t4))) @t198)))) % 0.41/0.78 (assume @p102 (forall @t140 (= (|tptp.'@=<_terminates'| @t129 @t127) (and (forall @t185 (and true (or @t207 (and true (or @t206 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 0.41/0.78 (assume @p103 (forall @t140 (= (|tptp.'@<_succeeds'| @t129 @t127) (or (exists @t185 (and @t205 @t204 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t184 (and @t195 @t181)))))) % 0.41/0.78 (assume @p104 (forall @t140 (= (|tptp.'@<_fails'| @t129 @t127) (and (forall @t185 (or @t207 @t206 (|tptp.'@<_fails'| @t1 @t4))) (forall @t184 (or @t198 @t182)))))) % 0.41/0.78 (assume @p105 (forall @t140 (= (|tptp.'@<_terminates'| @t129 @t127) (and (forall @t185 (and true (or @t207 (and true (or @t206 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t184 (and true @t201)))))) % 0.41/0.78 (assume @p106 (forall @t190 (= @t210 (or (exists @t209 (and @t208 @t192)) @t195)))) % 0.41/0.78 (assume @p107 (forall @t190 (= (tptp.nat_fails @t129) (and (forall @t209 (or @t211 @t193)) @t198)))) % 0.41/0.78 (assume @p108 (forall @t190 (= (tptp.nat_terminates @t129) (and (forall @t209 (and true (or @t211 @t194))) true)))) % 0.41/0.78 (assume @p109 (forall @t214 (=> @t213 (tptp.nat_terminates @t212)))) % 0.41/0.78 (assume @p110 (forall @t214 (=> @t213 @t215))) % 0.41/0.78 (assume @p111 (forall @t219 (=> @t213 @t218))) % 0.41/0.78 (assume @p112 (forall @t219 (=> @t220 @t218))) % 0.41/0.78 (assume @p113 (forall @t219 (=> @t221 @t213))) % 0.41/0.78 (assume @p114 (forall @t219 (=> (and @t221 @t222) @t220))) % 0.41/0.78 (assume @p115 (forall @t219 (=> (and @t221 @t220) @t222))) % 0.41/0.78 (assume @p116 (forall @t219 (=> @t221 @t218))) % 0.41/0.78 (assume @p117 (forall @t219 (=> @t221 @t215))) % 0.41/0.78 (assume @p118 (forall @t219 (=> (and @t221 @t224) @t223))) % 0.41/0.78 (assume @p119 (forall @t219 (=> (and @t221 @t223) @t224))) % 0.41/0.78 (assume @p120 (forall @t226 (=> @t213 (exists @t225 @t221)))) % 0.41/0.78 (assume @p121 (forall @t230 (=> (and (tptp.plus_succeeds @t212 @t217 @t228) (tptp.plus_succeeds @t212 @t217 @t227)) @t229))) % 0.41/0.78 (assume @p122 (forall @t231 (= (|tptp.'@+'| |tptp.'0'| @t217) @t217))) % 0.41/0.78 (assume @p123 (forall @t226 (=> @t213 (= @t234 (tptp.s @t232))))) % 0.41/0.78 (assume @p124 (forall @t226 (=> @t235 (tptp.nat_succeeds @t232)))) % 0.41/0.78 (assume @p125 (forall @t219 (=> @t237 (= (|tptp.'@+'| @t232 @t216) (|tptp.'@+'| @t212 @t236))))) % 0.41/0.78 (assume @p126 (forall @t214 (=> @t213 (= (|tptp.'@+'| @t212 |tptp.'0'|) @t212)))) % 0.41/0.78 (assume @p127 (forall @t226 (=> @t235 (= @t239 @t234)))) % 0.41/0.78 (assume @p128 (forall @t226 (=> @t235 (= @t232 @t240)))) % 0.41/0.78 (assume @p129 (forall @t219 (=> (and @t213 (= @t232 @t241)) (= @t217 @t216)))) % 0.41/0.78 (assume @p130 (forall @t219 (=> @t242 @t213))) % 0.41/0.78 (assume @p131 (forall @t219 (=> (and @t242 @t222) @t220))) % 0.41/0.78 (assume @p132 (forall @t219 (=> @t242 @t215))) % 0.41/0.78 (assume @p133 (forall @t219 (=> (and @t242 @t224) @t223))) % 0.41/0.78 (assume @p134 (forall @t219 (=> @t235 (tptp.times_terminates @t212 @t217 @t216)))) % 0.41/0.78 (assume @p135 (forall @t226 (=> @t235 (exists @t225 @t242)))) % 0.41/0.78 (assume @p136 (forall @t230 (=> (and (tptp.times_succeeds @t212 @t217 @t228) (tptp.times_succeeds @t212 @t217 @t227)) @t229))) % 0.41/0.78 (assume @p137 (forall @t231 (=> @t222 (= (|tptp.'@*'| |tptp.'0'| @t217) |tptp.'0'|)))) % 0.41/0.78 (assume @p138 (forall @t226 (=> @t235 (= @t244 (|tptp.'@+'| @t217 @t243))))) % 0.41/0.78 (assume @p139 (forall @t226 (=> @t235 (tptp.nat_succeeds @t243)))) % 0.41/0.78 (assume @p140 (forall @t219 (=> @t237 (= (|tptp.'@*'| @t232 @t216) (|tptp.'@+'| @t246 @t245))))) % 0.41/0.78 (assume @p141 (forall @t219 (=> @t237 (= (|tptp.'@*'| @t243 @t216) (|tptp.'@*'| @t212 @t245))))) % 0.41/0.78 (assume @p142 (forall @t214 (=> @t213 (= (|tptp.'@*'| @t212 |tptp.'0'|) |tptp.'0'|)))) % 0.41/0.78 (assume @p143 (forall (@list @t217 @t212) (=> (and @t222 @t213) (= (|tptp.'@+'| @t247 @t217) (|tptp.'@*'| @t217 @t233))))) % 0.41/0.78 (assume @p144 (forall @t226 (=> @t235 (= @t243 @t247)))) % 0.41/0.78 (assume @p145 (forall @t214 (=> @t213 (= (|tptp.'@*'| @t248 @t212) @t212)))) % 0.41/0.78 (assume @p146 (forall @t214 (=> @t213 (= (|tptp.'@*'| @t212 @t248) @t212)))) % 0.41/0.78 (assume @p147 (forall @t219 (=> @t237 (= (|tptp.'@*'| @t216 @t232) (|tptp.'@+'| (|tptp.'@*'| @t216 @t212) (|tptp.'@*'| @t216 @t217)))))) % 0.41/0.78 (assume @p148 (forall @t226 (=> @t213 @t249))) % 0.41/0.78 (assume @p149 (forall @t226 (=> @t222 @t249))) % 0.41/0.78 (assume @p150 (forall @t226 (=> @t250 @t213))) % 0.41/0.78 (assume @p151 (forall @t226 (=> @t250 (exists @t225 (= @t217 @t251))))) % 0.41/0.78 (assume @p152 (forall @t219 (=> (and @t250 (|tptp.'@<_succeeds'| @t217 @t251)) @t252))) % 0.41/0.78 (assume @p153 (forall @t226 (=> @t250 @t253))) % 0.41/0.78 (assume @p154 (forall @t219 (=> (and @t250 @t254) @t252))) % 0.41/0.78 (assume @p155 (forall @t214 (=> @t213 (|tptp.'@<_fails'| @t212 @t212)))) % 0.41/0.78 (assume @p156 (forall @t214 (=> @t213 (not (|tptp.'@<_succeeds'| @t212 @t212))))) % 0.41/0.78 (assume @p157 (forall @t214 (=> @t213 (|tptp.'@<_succeeds'| @t212 @t233)))) % 0.41/0.78 (assume @p158 (forall @t226 (=> (and @t222 @t253) @t256))) % 0.41/0.78 (assume @p159 (forall @t226 (=> @t235 (or @t250 @t255 (|tptp.'@<_succeeds'| @t217 @t212))))) % 0.41/0.78 (assume @p160 (forall @t214 (=> (and @t213 @t257) (|tptp.'@<_succeeds'| |tptp.'0'| @t212)))) % 0.41/0.78 (assume @p161 (forall @t226 (=> @t213 (|tptp.'@=<_terminates'| @t212 @t217)))) % 0.41/0.78 (assume @p162 (forall @t226 (=> @t258 @t213))) % 0.41/0.78 (assume @p163 (forall @t226 (=> @t258 (exists @t225 (tptp.plus_succeeds @t212 @t216 @t217))))) % 0.41/0.78 (assume @p164 (forall @t226 (=> @t258 (exists @t225 (= @t241 @t217))))) % 0.41/0.78 (assume @p165 (forall @t226 (=> @t250 (exists @t225 (tptp.plus_succeeds @t212 @t251 @t217))))) % 0.41/0.78 (assume @p166 (forall @t226 (=> @t250 (exists @t225 (= (|tptp.'@+'| @t212 @t251) @t217))))) % 0.41/0.78 (assume @p167 (forall @t226 (=> @t250 @t258))) % 0.41/0.78 (assume @p168 (forall @t214 (=> @t213 (|tptp.'@=<_succeeds'| @t212 @t212)))) % 0.41/0.78 (assume @p169 (forall @t226 (=> @t235 (or @t258 @t259)))) % 0.41/0.78 (assume @p170 (forall @t226 (=> @t235 (or @t250 @t259)))) % 0.41/0.78 (assume @p171 (forall @t226 (=> (and @t213 @t222 (|tptp.'@=<_fails'| @t212 @t217)) @t259))) % 0.41/0.78 (assume @p172 (forall @t226 (=> (and @t258 @t222) @t256))) % 0.41/0.78 (assume @p173 (forall @t219 (=> (and @t258 @t254) @t252))) % 0.41/0.78 (assume @p174 (forall @t219 (=> (and @t250 @t260) @t252))) % 0.41/0.78 (assume @p175 (forall @t219 (=> (and @t258 @t260) (|tptp.'@=<_succeeds'| @t212 @t216)))) % 0.41/0.78 (assume @p176 (forall @t226 (=> (and @t258 @t259) @t255))) % 0.41/0.78 (assume @p177 (forall @t214 (=> @t213 (|tptp.'@=<_succeeds'| @t212 @t233)))) % 0.41/0.78 (assume @p178 (forall @t214 (=> @t213 (|tptp.'@=<_fails'| @t233 @t212)))) % 0.41/0.78 (assume @p179 (forall @t219 (=> (and @t213 @t254) @t261))) % 0.41/0.78 (assume @p180 (forall @t226 (=> @t213 (|tptp.'@<_succeeds'| @t212 @t239)))) % 0.41/0.78 (assume @p181 (forall @t219 (=> (and @t250 @t222 @t220) @t262))) % 0.41/0.78 (assume @p182 (forall @t226 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t217) @t213 @t222) (|tptp.'@<_succeeds'| @t212 @t240)))) % 0.41/0.78 (assume @p183 (forall @t219 (=> (and @t213 @t260) @t263))) % 0.41/0.78 (assume @p184 (forall @t219 (=> @t264 (|tptp.'@=<_succeeds'| @t241 @t236)))) % 0.41/0.78 (assume @p185 (forall @t226 (=> @t213 (|tptp.'@=<_succeeds'| @t212 @t232)))) % 0.41/0.78 (assume @p186 (forall @t226 (=> @t235 (|tptp.'@=<_succeeds'| @t217 @t232)))) % 0.41/0.78 (assume @p187 (forall @t219 (=> (and @t213 @t261) @t254))) % 0.41/0.78 (assume @p188 (forall @t219 (=> (and @t213 @t222 @t220 @t262) @t250))) % 0.41/0.78 (assume @p189 (forall @t219 (=> (and @t213 @t263) @t260))) % 0.41/0.78 (assume @p190 (forall @t272 (=> (and @t271 @t270 @t269) (|tptp.'@=<_succeeds'| @t268 @t267)))) % 0.41/0.78 (assume @p191 (forall @t272 (=> (and @t274 @t270 @t269) @t273))) % 0.41/0.78 (assume @p192 (forall @t272 (=> (and @t271 @t275 @t269) @t273))) % 0.41/0.78 (assume @p193 (forall @t272 (=> (and @t274 @t275 @t269) @t273))) % 0.41/0.78 (assume @p194 (forall @t219 (=> (and @t213 @t260 @t220) (|tptp.'@=<_succeeds'| @t243 @t246)))) % 0.41/0.78 (assume @p195 (forall @t219 (=> @t264 (|tptp.'@=<_succeeds'| @t246 @t245)))) % 0.41/0.78 (assume @p196 (forall @t219 (=> (and @t213 @t257 @t254 @t220) (|tptp.'@<_succeeds'| @t243 @t246)))) % 0.41/0.78 (assume @p197 (forall @t219 (=> (and @t213 @t222 @t220 (|tptp.'@=<_succeeds'| @t244 (|tptp.'@*'| @t233 @t216))) @t260))) % 0.41/0.78 (assume @p198 (forall (@list @t129 @t127 @t217) (=> (and @t210 @t192 @t222 (= (|tptp.'@+'| @t129 @t217) (|tptp.'@+'| @t127 @t217))) (= @t129 @t127)))) % 0.41/0.78 (assume @p199 (forall @t214 (tptp.list_succeeds @t276))) % 0.41/0.78 (assume @p200 (forall @t226 (tptp.list_succeeds @t278))) % 0.41/0.78 (assume @p201 (forall @t219 (tptp.list_succeeds @t279))) % 0.41/0.78 (assume @p202 (forall @t283 (=> (tptp.list_succeeds @t282) @t281))) % 0.41/0.78 (assume @p203 (forall @t284 (=> @t281 (tptp.list_terminates @t280)))) % 0.41/0.78 (assume @p204 (forall @t283 (=> @t281 (tptp.member_terminates @t212 @t280)))) % 0.41/0.78 (assume @p205 (forall @t283 (=> @t281 (or @t286 @t285)))) % 0.41/0.78 (assume @p206 (forall @t283 (=> (and @t286 @t287) @t215))) % 0.41/0.78 (assume @p207 (forall (@list @t212 @t217 @t216 @t280) (=> (and (tptp.member_succeeds @t212 @t289) @t288) @t286))) % 0.41/0.78 (assume @p208 (forall @t295 (=> @t294 @t291))) % 0.41/0.78 (assume @p209 (forall @t295 (=> (and @t294 @t297) @t296))) % 0.41/0.78 (assume @p210 (forall @t295 (=> @t298 @t297))) % 0.41/0.78 (assume @p211 (forall @t295 (=> @t298 @t299))) % 0.41/0.78 (assume @p212 (forall @t295 (=> @t291 @t300))) % 0.41/0.78 (assume @p213 (forall @t295 (=> @t296 @t300))) % 0.41/0.78 (assume @p214 (forall @t295 (=> (and @t294 @t303 @t302) @t301))) % 0.41/0.78 (assume @p215 (forall @t295 (=> (and @t294 @t301) @t304))) % 0.41/0.78 (assume @p216 (forall @t306 (=> @t291 (exists @t305 @t294)))) % 0.41/0.78 (assume @p217 (forall @t308 (=> (and @t294 (tptp.append_succeeds @t290 @t293 @t307)) (= @t292 @t307)))) % 0.41/0.78 (assume @p218 (forall @t284 (= (|tptp.'**'| tptp.nil @t280) @t280))) % 0.41/0.78 (assume @p219 (forall @t311 (=> @t291 (= (|tptp.'**'| @t310 @t293) (tptp.cons @t212 @t309))))) % 0.41/0.78 (assume @p220 (forall @t306 (=> @t299 @t312))) % 0.41/0.78 (assume @p221 (forall @t306 (=> (and @t291 @t312) @t297))) % 0.41/0.78 (assume @p222 (forall @t306 (=> (and @t291 @t303 @t302) @t313))) % 0.41/0.78 (assume @p223 (forall @t306 (=> (and @t291 @t313) @t304))) % 0.41/0.78 (assume @p224 (forall @t295 (=> @t299 (= (|tptp.'**'| @t309 @t292) (|tptp.'**'| @t290 @t314))))) % 0.41/0.78 (assume @p225 (forall @t284 (=> @t281 (= (|tptp.'**'| @t280 tptp.nil) @t280)))) % 0.41/0.78 (assume @p226 (forall @t319 (=> @t318 @t317))) % 0.41/0.78 (assume @p227 (forall @t319 (=> @t281 (tptp.length_terminates @t280 @t315)))) % 0.41/0.78 (assume @p228 (forall @t319 (=> @t318 @t320))) % 0.41/0.78 (assume @p229 (forall @t284 (=> @t281 (exists @t321 @t318)))) % 0.41/0.78 (assume @p230 (forall (@list @t280 @t322 @t315) (=> (and (tptp.length_succeeds @t280 @t322) @t318) @t323))) % 0.41/0.78 (assume @p231 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 0.41/0.78 (assume @p232 (forall @t283 (=> @t281 (= @t325 (tptp.s @t324))))) % 0.41/0.78 (assume @p233 (forall @t284 (=> @t281 (tptp.nat_succeeds @t324)))) % 0.41/0.78 (assume @p234 (forall @t284 (=> (and @t281 (= @t324 |tptp.'0'|)) @t326))) % 0.41/0.78 (assume @p235 (forall (@list @t315 @t290) (=> (and @t291 (= @t329 @t328)) (exists (@list @t212 @t293) (= @t290 @t327))))) % 0.41/0.78 (assume @p236 (forall @t306 (=> @t299 (= @t332 @t331)))) % 0.41/0.78 (assume @p237 (forall @t306 (=> @t299 (|tptp.'@=<_succeeds'| @t329 @t332)))) % 0.41/0.78 (assume @p238 (forall @t306 (=> @t299 (|tptp.'@=<_succeeds'| @t330 @t332)))) % 0.41/0.78 (assume @p239 (forall @t283 (=> @t281 (|tptp.'@=<_succeeds'| @t324 @t325)))) % 0.41/0.78 (assume @p240 (forall @t295 (=> @t298 (= @t331 @t333)))) % 0.41/0.78 (assume @p241 (forall @t295 (=> @t298 (|tptp.'@=<_succeeds'| @t329 @t333)))) % 0.41/0.78 (assume @p242 (forall @t295 (=> @t298 (|tptp.'@=<_succeeds'| @t330 @t333)))) % 0.41/0.78 (assume @p243 (forall (@list @t212 @t334) (tptp.sub @t334 @t335))) % 0.41/0.78 (assume @p244 (forall @t284 (tptp.sub @t280 @t280))) % 0.41/0.78 (assume @p245 (forall (@list @t334 @t337 @t336) (=> (and @t338 (tptp.sub @t337 @t336)) (tptp.sub @t334 @t336)))) % 0.41/0.78 (assume @p246 (forall @t284 (tptp.sub tptp.nil @t280))) % 0.41/0.78 (assume @p247 (forall @t339 (=> (and @t338 (tptp.member_succeeds @t212 @t337)) (tptp.sub @t335 @t337)))) % 0.41/0.78 (assume @p248 (forall @t339 (=> @t338 (tptp.sub @t335 (tptp.cons @t212 @t337))))) % 0.41/0.78 (assume @p249 (forall (@list @t212 @t292) (=> @t341 (exists @t306 @t340)))) % 0.41/0.78 (assume @p250 (forall @t343 (=> (and @t294 @t342) @t341))) % 0.41/0.78 (assume @p251 (forall @t343 (=> (and @t294 @t344) @t341))) % 0.41/0.78 (assume @p252 (forall @t311 (=> (and @t342 @t291) @t345))) % 0.41/0.78 (assume @p253 (forall @t311 (=> (and @t344 @t291) @t345))) % 0.41/0.78 (assume @p254 (forall @t343 (=> @t340 @t341))) % 0.41/0.78 (assume @p255 (forall @t343 (=> (and @t294 @t341) @t346))) % 0.41/0.78 (assume @p256 (forall @t311 (=> (and @t291 @t345) @t346))) % 0.41/0.78 (assume @p257 (forall @t306 (=> @t291 (tptp.sub @t290 @t309)))) % 0.41/0.78 (assume @p258 (forall @t306 (=> @t291 (tptp.sub @t293 @t309)))) % 0.41/0.78 (assume @p259 (forall @t343 (=> @t298 (not (= @t293 (tptp.cons @t212 @t292)))))) % 0.41/0.78 (assume @p260 (forall @t306 (=> (and (tptp.append_succeeds @t290 @t293 @t293) @t297) (= @t290 tptp.nil)))) % 0.41/0.78 (assume @p261 (forall @t308 (=> (and @t294 (tptp.append_succeeds @t307 @t293 @t292) @t296) (= @t290 @t307)))) % 0.41/0.78 (assume @p262 (forall @t295 (=> (and @t291 @t297 @t296 (= (|tptp.'**'| @t290 @t292) @t314)) (= @t290 @t293)))) % 0.41/0.78 (assume @p263 (forall @t308 (=> (and @t294 (tptp.append_succeeds @t290 @t307 @t292)) (= @t293 @t307)))) % 0.41/0.78 (assume @p264 (forall @t284 (=> @t347 @t281))) % 0.41/0.78 (assume @p265 (forall @t284 (=> @t347 (tptp.nat_list_terminates @t280)))) % 0.41/0.78 (assume @p266 (forall @t214 (=> (tptp.nat_list_succeeds @t212) @t215))) % 0.41/0.78 (assume @p267 (forall (@list @t212 @t290 @t293 @t315) (=> (and @t291 @t297 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t310) @t330) @t328)) @t348))) % 0.41/0.78 (assume @p268 (forall (@list @t290 @t217 @t293 @t315) (=> (and @t291 @t297 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t329 (tptp.lh (tptp.cons @t217 @t293))) @t328)) @t348))) % 0.41/0.78 (assume @p269 (forall @t311 (=> @t291 @t349))) % 0.41/0.78 (assume @p270 (forall @t311 (=> @t297 @t349))) % 0.41/0.78 (assume @p271 (forall @t311 (=> @t351 @t297))) % 0.41/0.78 (assume @p272 (forall @t311 (=> (and @t350 @t297) @t291))) % 0.41/0.78 (assume @p273 (forall @t311 (=> @t351 (= @t329 (tptp.s @t330))))) % 0.41/0.78 (assume @p274 (forall @t311 (=> @t291 (tptp.delete_succeeds @t212 (|tptp.'**'| @t290 @t327) @t309)))) % 0.41/0.78 (assume @p275 (forall @t311 (=> @t350 (exists (@list @t292 @t307) (and @t296 (= @t290 (|tptp.'**'| @t292 (tptp.cons @t212 @t307))) (= @t293 @t352)))))) % 0.41/0.78 (assume @p276 (forall @t311 (=> (and @t350 @t354) (and @t213 @t353)))) % 0.41/0.78 (assume @p277 (forall @t311 (=> (and @t350 @t303) (and @t215 @t302)))) % 0.41/0.78 (assume @p278 (forall @t357 (=> (and @t350 @t356) (or @t355 (= @t217 @t212))))) % 0.41/0.78 (assume @p279 (forall @t311 (=> @t350 @t342))) % 0.41/0.78 (assume @p280 (forall @t357 (=> (and @t350 @t355) @t356))) % 0.41/0.78 (assume @p281 (forall (@list @t212 @t290) (=> @t342 @t359))) % 0.41/0.78 (assume @p282 (forall @t357 (=> (and @t350 @t356 @t288) @t355))) % 0.41/0.78 (assume @p283 (forall @t306 (=> @t360 @t299))) % 0.41/0.78 (assume @p284 (forall (@list @t315 @t290 @t293) (=> (and @t316 @t291 (= @t329 @t315)) @t361))) % 0.41/0.78 (assume @p285 (forall @t306 (=> @t291 @t361))) % 0.41/0.78 (assume @p286 (forall @t311 (=> @t299 (tptp.member2_terminates @t212 @t290 @t293)))) % 0.41/0.78 (assume @p287 (forall @t362 (=> (and @t281 @t287 @t215) (tptp.occ_terminates @t212 @t280 @t315)))) % 0.41/0.78 (assume @p288 (forall @t311 (=> (and (tptp.member2_succeeds @t212 @t290 @t293) @t303 @t302) @t215))) % 0.41/0.78 (assume @p289 (forall @t362 (=> @t363 @t320))) % 0.41/0.78 (assume @p290 (forall @t306 (=> @t364 (tptp.not_same_occ_terminates @t290 @t293)))) % 0.41/0.78 (assume @p291 (forall @t306 (=> @t364 (tptp.same_occ_terminates @t290 @t293)))) % 0.41/0.78 (assume @p292 (forall @t362 (=> @t363 @t317))) % 0.41/0.78 (assume @p293 (forall @t283 (=> @t281 (exists @t321 @t363)))) % 0.41/0.78 (assume @p294 (forall (@list @t212 @t280 @t322 @t315) (=> (and @t365 @t363) @t323))) % 0.41/0.78 (assume @p295 (forall @t214 (= (tptp.occ @t212 tptp.nil) |tptp.'0'|))) % 0.41/0.78 (assume @p296 (forall (@list @t212 @t217 @t280) (=> (and @t281 @t288) (= (tptp.occ @t212 @t289) @t366)))) % 0.41/0.78 (assume @p297 (forall @t283 (=> @t281 (= (tptp.occ @t212 @t282) (tptp.s @t366))))) % 0.41/0.78 (assume @p298 (forall @t283 (=> @t281 (tptp.nat_succeeds @t366)))) % 0.41/0.78 (assume @p299 (forall @t311 (=> @t299 (= (tptp.occ @t212 @t309) (|tptp.'@+'| @t368 @t367))))) % 0.41/0.78 (assume @p300 (forall @t357 (=> (and @t291 @t350 @t288) (= (tptp.occ @t217 @t290) (tptp.occ @t217 @t293))))) % 0.41/0.78 (assume @p301 (forall @t311 (=> (and @t291 @t350) (= @t368 (tptp.s @t367))))) % 0.41/0.78 (assume @p302 (forall @t306 (=> @t360 @t369))) % 0.41/0.78 (assume @p303 (forall @t306 (=> (and @t360 @t303 @t302) @t370))) % 0.41/0.78 (assume @p304 (forall @t284 (=> (and @t281 (forall @t214 @t371)) @t326))) % 0.41/0.78 (assume @p305 (forall (@list @t212 @t290 @t315) (=> (and @t291 (= @t368 @t328)) @t359))) % 0.41/0.78 (assume @p306 (forall @t358 (=> @t297 (forall @t372 (=> (and @t291 @t369) @t360))))) % 0.41/0.78 (assume @p307 (forall @t306 (=> (and @t297 @t291 @t369) @t360))) % 0.41/0.78 (assume @p308 (forall @t283 (=> (and @t281 @t285) @t371))) % 0.41/0.78 (assume @p309 (forall @t306 (=> @t373 @t369))) % 0.41/0.78 (assume @p310 (forall @t306 (=> @t373 @t360))) % 0.41/0.78 (assume @p311 (forall @t284 (=> @t281 (tptp.permutation_succeeds @t280 @t280)))) % 0.41/0.78 (assume @p312 (forall @t306 (=> @t360 (tptp.permutation_succeeds @t293 @t290)))) % 0.41/0.78 (assume @p313 (forall @t295 (=> (and @t360 (tptp.permutation_succeeds @t293 @t292)) @t374))) % 0.41/0.78 (assume @p314 (forall @t308 (=> (and @t374 (tptp.permutation_succeeds @t293 @t307)) (tptp.permutation_succeeds @t309 @t352)))) % 0.41/0.78 (assume @p315 (forall @t306 (=> @t299 (tptp.permutation_succeeds @t309 (|tptp.'**'| @t293 @t290))))) % 0.41/0.78 (assume @p316 (forall @t306 (=> (and @t360 @t354) @t353))) % 0.41/0.78 (assume @p317 (forall @t362 (=> (and @t281 (tptp.occ_succeeds @t212 @t280 @t328)) @t286))) % 0.41/0.78 (assume @p318 (forall @t362 (=> (and @t281 @t375) @t286))) % 0.41/0.78 (assume @p319 (forall @t283 (=> (and @t281 @t286) (exists @t321 @t375)))) % 0.41/0.78 (assume @p320 (forall @t311 (=> (and @t360 @t342) @t344))) % 0.41/0.78 (assume @p321 (forall @t311 (=> (tptp.permutation_succeeds @t310 @t327) @t360))) % 0.41/0.78 (assume @p322 (forall @t284 (=> (tptp.permutation_succeeds tptp.nil @t280) @t326))) % 0.41/0.78 (assume @p323 (forall @t306 (=> (and @t360 @t303) @t302))) % 0.41/0.78 (assume @p324 (forall @t306 (=> @t360 (= @t329 @t330)))) % 0.41/0.78 (assume @p325 (forall @t219 (=> @t213 (= (= @t232 @t216) @t221)))) % 0.41/0.78 (assume @p326 (forall @t219 (=> @t235 (= (= @t243 @t216) @t242)))) % 0.41/0.78 (assume @p327 (forall @t295 (=> @t291 (= (= @t309 @t292) @t294)))) % 0.41/0.78 (assume @p328 (forall @t319 (=> @t281 (= (= @t324 @t315) @t318)))) % 0.41/0.78 (assume @p329 (forall @t306 (= (tptp.sub @t290 @t293) (forall @t214 (=> @t342 @t344))))) % 0.41/0.78 (assume @p330 (forall (@list @t212 @t280 @t322) (=> @t281 (= (= @t366 @t322) @t365)))) % 0.41/0.78 (assume @p331 (forall @t306 (=> @t291 (= (= @t377 @t293) @t376)))) % 0.41/0.78 (assume @p332 (forall @t306 (=> @t376 @t299))) % 0.41/0.78 (assume @p333 (forall @t306 (=> @t291 (tptp.n_reverse_terminates @t290 @t293)))) % 0.41/0.78 (assume @p334 (forall @t295 (=> @t378 @t291))) % 0.41/0.78 (assume @p335 (forall @t295 (=> (and @t378 @t297) @t296))) % 0.41/0.78 (assume @p336 (forall @t295 (=> (and @t378 @t296) @t297))) % 0.41/0.78 (assume @p337 (forall @t295 (=> @t291 (tptp.a_reverse_terminates @t290 @t293 @t292)))) % 0.41/0.78 (assume @p338 (forall @t372 (=> @t291 (exists @t358 @t376)))) % 0.41/0.78 (assume @p339 (forall @t295 (=> (and @t376 @t380) @t379))) % 0.41/0.78 (assume @p340 (forall @t372 (=> @t291 (exists @t358 (and @t376 (forall @t305 (=> @t380 @t379))))))) % 0.41/0.78 (assume @p341 (forall @t306 (=> (and @t376 @t303) @t302))) % 0.41/0.78 (assume @p342 (= @t381 tptp.nil)) % 0.41/0.78 (assume @p343 @t384) % 0.41/0.78 (assume @p344 @t386) % 0.41/0.78 (assume @p345 (forall @t295 (=> @t378 (= (|tptp.'**'| @t377 @t293) @t292)))) % 0.41/0.78 (assume @p346 (forall @t306 (=> @t376 (forall @t305 (tptp.a_reverse_succeeds @t290 @t292 @t314))))) % 0.41/0.78 (assume @p347 (forall @t306 (= (tptp.reverse_succeeds @t290 @t293) @t376))) % 0.41/0.78 (assume @p348 (forall @t306 (=> @t291 (tptp.reverse_terminates @t290 @t293)))) % 0.41/0.78 (assume @p349 (forall @t306 (=> @t291 (= (tptp.reverse_fails @t290 @t293) (tptp.n_reverse_fails @t290 @t293))))) % 0.41/0.78 (assume @p350 (forall @t214 (= (tptp.rev @t276) @t276))) % 0.41/0.78 (assume @p351 (forall @t226 (= (tptp.rev @t278) @t387))) % 0.41/0.78 (assume @p352 (forall @t219 (= (tptp.rev @t279) (tptp.cons @t216 @t387)))) % 0.41/0.78 (assume @p353 @t389) % 0.41/0.78 (assume @p354 @t400) % 0.41/0.78 (assume @p355 @t401) % 0.41/0.78 (assume @p356 true) % 0.41/0.78 (step @p357 :rule symm :premises (@p342)) % 0.41/0.78 (step @p358 :rule cong :premises (@p357) :args (@t381)) % 0.41/0.78 (step @p359 :rule trans :premises (@p357 @p358)) % 0.41/0.78 (step @p360 :rule bool-impl-elim :args (@t281 @t402)) % 0.41/0.78 (step @p361 :rule cong :premises (@p360) :args ((forall @t284 (=> @t281 @t402)))) % 0.41/0.78 (step @p362 :rule eq-symm :args (@t390 @t280)) % 0.41/0.78 (step @p363 :rule refl :args (@t281)) % 0.41/0.78 (step @p364 :rule cong :premises (@p363 @p362) :args (@t392)) % 0.41/0.78 (step @p365 :rule cong :premises (@p364) :args (@t393)) % 0.41/0.78 (step @p366 :rule trans :premises (@p365 @p361)) % 0.41/0.78 (step @p367 :rule cong :premises (@p366) :args (@t401)) % 0.41/0.78 (step @p368 :rule eq_resolve :premises (@p355 @p367)) % 0.41/0.78 (step @p369 :rule aci_norm :args ((= (or false @t403) @t403))) % 0.41/0.78 (step @p370 :rule refl :args (@t403)) % 0.41/0.78 (step @p371 :rule evaluate :args ((not true))) % 0.41/0.78 (step @p372 :rule eq-refl :args (tptp.nil)) % 0.41/0.78 (step @p373 :rule cong :premises (@p372) :args (@t404)) % 0.41/0.78 (step @p374 :rule trans :premises (@p373 @p371)) % 0.41/0.78 (step @p375 :rule nary_cong :premises (@p374 @p370) :args (@t405)) % 0.41/0.78 (step @p376 :rule trans :premises (@p375 @p369)) % 0.41/0.78 (step @p377 :rule quant-var-elim-eq :args ((= (forall @t409 (or (not (= @t406 tptp.nil)) @t408 @t407)) @t405))) % 0.41/0.78 (step @p378 :rule refl :args (@t407)) % 0.41/0.78 (step @p379 :rule refl :args (@t408)) % 0.41/0.78 (step @p380 :rule eq-symm :args (tptp.nil @t406)) % 0.41/0.78 (step @p381 :rule cong :premises (@p380) :args (@t408)) % 0.41/0.78 (step @p382 :rule nary_cong :premises (@p381 @p379 @p378) :args (@t410)) % 0.41/0.78 (step @p383 :rule aci_norm :args ((= @t411 @t410))) % 0.41/0.78 (step @p384 :rule trans :premises (@p383 @p382)) % 0.41/0.78 (step @p385 :rule cong :premises (@p384) :args (@t412)) % 0.41/0.78 (step @p386 :rule trans :premises (@p385 @p377)) % 0.41/0.78 (step @p387 :rule trans :premises (@p386 @p376)) % 0.41/0.78 (step @p388 :rule quant-unused-vars :args ((= @t415 @t412))) % 0.41/0.78 (step @p389 :rule trans :premises (@p388 @p387)) % 0.41/0.78 (step @p390 :rule aci_norm :args ((= (or @t421 false @t418 @t417) @t422))) % 0.41/0.78 (step @p391 :rule refl :args (@t417)) % 0.41/0.78 (step @p392 :rule refl :args (@t418)) % 0.41/0.78 (step @p393 :rule eq-refl :args (@t420)) % 0.41/0.78 (step @p394 :rule cong :premises (@p393) :args (@t423)) % 0.41/0.78 (step @p395 :rule trans :premises (@p394 @p371)) % 0.41/0.78 (step @p396 :rule refl :args (@t421)) % 0.41/0.78 (step @p397 :rule nary_cong :premises (@p396 @p395 @p392 @p391) :args (@t424)) % 0.41/0.78 (step @p398 :rule trans :premises (@p397 @p390)) % 0.41/0.78 (step @p399 :rule cong :premises (@p398) :args ((forall @t425 @t424))) % 0.41/0.78 (step @p400 :rule quant-var-elim-eq :args ((= (forall @t430 @t429) @t424))) % 0.41/0.78 (step @p401 :rule aci_norm :args ((= @t431 @t429))) % 0.41/0.78 (step @p402 :rule cong :premises (@p401) :args (@t432)) % 0.41/0.78 (step @p403 :rule trans :premises (@p402 @p400)) % 0.41/0.78 (step @p404 :rule cong :premises (@p403) :args (@t433)) % 0.41/0.78 (step @p405 :rule quant-merge-prenex :args ((= @t433 @t434))) % 0.41/0.78 (step @p406 :rule symm :premises (@p405)) % 0.41/0.78 (step @p407 :rule quant_var_reordering :args ((= @t435 @t434))) % 0.41/0.78 (step @p408 :rule trans :premises (@p407 @p406 @p404)) % 0.41/0.78 (step @p409 :rule trans :premises (@p408 @p399)) % 0.41/0.78 (step @p410 :rule nary_cong :premises (@p409 @p389) :args ((and @t435 @t415))) % 0.41/0.78 (step @p411 :rule alpha_equiv :args (@t442 @t443 (@list @t406 @t414 @t413))) % 0.41/0.78 (step @p412 :rule alpha_equiv :args (@t449 @t443 (@list @t426 @t419 @t416))) % 0.41/0.78 (step @p413 :rule nary_cong :premises (@p412 @p411) :args (@t450)) % 0.41/0.78 (step @p414 :rule quant-miniscope-and :args ((= (forall @t441 (and @t448 @t438)) @t450))) % 0.41/0.78 (step @p415 :rule trans :premises (@p414 @p413)) % 0.41/0.78 (step @p416 :rule trans :premises (@p415 @p410)) % 0.41/0.78 (step @p417 :rule refl :args (@t438)) % 0.41/0.78 (step @p418 :rule aci_norm :args ((= @t452 @t448))) % 0.41/0.78 (step @p419 :rule nary_cong :premises (@p418 @p417) :args (@t453)) % 0.41/0.78 (step @p420 :rule cong :premises (@p419) :args ((forall @t441 @t453))) % 0.41/0.78 (step @p421 :rule trans :premises (@p420 @p416)) % 0.41/0.78 (step @p422 :rule bool-or-and-distrib :args (@t451 @t437 true @t402 false)) % 0.41/0.78 (step @p423 :rule cong :premises (@p422) :args ((forall @t441 (or (and @t451 @t437) @t402)))) % 0.41/0.78 (step @p424 :rule trans :premises (@p423 @p421)) % 0.41/0.78 (step @p425 :rule refl :args (@t402)) % 0.41/0.78 (step @p426 :rule refl :args (@t437)) % 0.41/0.78 (step @p427 :rule refl :args (@t444)) % 0.41/0.78 (step @p428 :rule refl :args (@t445)) % 0.41/0.78 (step @p429 :rule eq-symm :args (@t446 @t280)) % 0.41/0.78 (step @p430 :rule cong :premises (@p429) :args (@t454)) % 0.41/0.78 (step @p431 :rule nary_cong :premises (@p430 @p428 @p427) :args (@t455)) % 0.41/0.78 (step @p432 :rule nary_cong :premises (@p431 @p426) :args (@t456)) % 0.41/0.78 (step @p433 :rule nary_cong :premises (@p432 @p425) :args (@t457)) % 0.41/0.78 (step @p434 :rule cong :premises (@p433) :args (@t458)) % 0.41/0.78 (step @p435 :rule trans :premises (@p434 @p424)) % 0.41/0.78 (step @p436 :rule quant-merge-prenex :args ((= (forall @t284 @t460) @t458))) % 0.41/0.78 (step @p437 :rule refl :args (@t402)) % 0.41/0.78 (step @p438 :rule quant-unused-vars :args ((= @t461 @t437))) % 0.41/0.78 (step @p439 :rule alpha_equiv :args (@t462 (@list @t440 @t439) (@list @t127 @t1))) % 0.41/0.78 (step @p440 :rule nary_cong :premises (@p439 @p438) :args (@t463)) % 0.41/0.78 (step @p441 :rule quant-miniscope-and :args ((= @t464 @t463))) % 0.41/0.78 (step @p442 :rule trans :premises (@p441 @p440)) % 0.41/0.78 (step @p443 :rule nary_cong :premises (@p442 @p437) :args (@t465)) % 0.41/0.78 (step @p444 :rule quant-miniscope-or :args ((= @t460 @t465))) % 0.41/0.78 (step @p445 :rule trans :premises (@p444 @p443)) % 0.41/0.78 (step @p446 :rule symm :premises (@p445)) % 0.41/0.78 (step @p447 :rule cong :premises (@p446) :args ((forall @t284 (or (and @t472 @t437) @t402)))) % 0.41/0.78 (step @p448 :rule trans :premises (@p447 @p436)) % 0.41/0.78 (step @p449 :rule trans :premises (@p448 @p435)) % 0.41/0.78 (step @p450 :rule refl :args (@t437)) % 0.41/0.78 (step @p451 :rule bool-double-not-elim :args (@t472)) % 0.41/0.78 (step @p452 :rule nary_cong :premises (@p451 @p450) :args ((and (not @t473) @t437))) % 0.41/0.78 (step @p453 :rule bool-or-de-morgan :args (@t473 @t436 false)) % 0.41/0.78 (step @p454 :rule trans :premises (@p453 @p452)) % 0.41/0.78 (step @p455 :rule nary_cong :premises (@p454 @p437) :args ((or (not @t474) @t402))) % 0.41/0.78 (step @p456 :rule bool-impl-elim :args (@t474 @t402)) % 0.41/0.78 (step @p457 :rule trans :premises (@p456 @p455)) % 0.41/0.78 (step @p458 :rule cong :premises (@p457) :args ((forall @t284 (=> @t474 @t402)))) % 0.41/0.78 (step @p459 :rule trans :premises (@p458 @p449)) % 0.41/0.78 (step @p460 :rule eq-symm :args (@t280 tptp.nil)) % 0.41/0.78 (step @p461 :rule aci_norm :args ((= (or @t470 (or @t468 @t467)) @t471))) % 0.41/0.78 (step @p462 :rule bool-and-de-morgan :args (@t186 @t466 true)) % 0.41/0.78 (step @p463 :rule refl :args (@t470)) % 0.41/0.78 (step @p464 :rule nary_cong :premises (@p463 @p462) :args ((or @t470 (not (and @t186 @t466))))) % 0.41/0.78 (step @p465 :rule bool-and-de-morgan :args (@t469 @t186 (and @t466))) % 0.41/0.78 (step @p466 :rule trans :premises (@p465 @p464)) % 0.41/0.78 (step @p467 :rule trans :premises (@p466 @p461)) % 0.41/0.78 (step @p468 :rule cong :premises (@p467) :args (@t476)) % 0.41/0.78 (step @p469 :rule cong :premises (@p468) :args (@t477)) % 0.41/0.78 (step @p470 :rule exists-elim :args ((= (exists @t189 @t475) @t477))) % 0.41/0.78 (step @p471 :rule trans :premises (@p470 @p469)) % 0.41/0.78 (step @p472 :rule eq-symm :args (@t394 @t1)) % 0.41/0.78 (step @p473 :rule refl :args (@t186)) % 0.41/0.78 (step @p474 :rule eq-symm :args (@t280 @t187)) % 0.41/0.78 (step @p475 :rule nary_cong :premises (@p474 @p473 @p472) :args (@t395)) % 0.41/0.78 (step @p476 :rule cong :premises (@p475) :args (@t396)) % 0.41/0.78 (step @p477 :rule trans :premises (@p476 @p471)) % 0.41/0.78 (step @p478 :rule nary_cong :premises (@p477 @p460) :args (@t397)) % 0.41/0.78 (step @p479 :rule cong :premises (@p478 @p362) :args (@t398)) % 0.41/0.78 (step @p480 :rule cong :premises (@p479) :args (@t399)) % 0.41/0.78 (step @p481 :rule trans :premises (@p480 @p459)) % 0.41/0.78 (step @p482 :rule cong :premises (@p481 @p366) :args (@t400)) % 0.41/0.78 (step @p483 :rule eq_resolve :premises (@p354 @p482)) % 0.41/0.78 (step @p484 :rule implies_elim :premises (@p483)) % 0.41/0.78 (step @p485 :rule reordering :premises (@p484) :args ((or @t481 @t480))) % 0.41/0.78 (step @p486 :rule chain_m_resolution :premises (@p485 @p368) :args (@t480 @t482 (@list @t481))) % 0.41/0.78 (step @p487 :rule cnf_and_neg :args (@t479)) % 0.41/0.78 (step @p488 :rule chain_m_resolution :premises (@p487 @p486 @p359) :args ((not @t478) (@list true false) (@list @t479 @t403))) % 0.41/0.78 (step @p489 :rule skolemize :premises (@p488)) % 0.41/0.78 (step @p490 :rule cnf_or_neg :args (@t494 0)) % 0.41/0.78 (step @p491 :rule chain_m_resolution :premises (@p490 @p489) :args ((not @t493) @t482 @t495)) % 0.41/0.78 (step @p492 :rule bool-double-not-elim :args (@t486)) % 0.41/0.78 (step @p493 :rule refl :args (@t494)) % 0.41/0.78 (step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or @t494 (not @t487)))) % 0.41/0.78 (step @p495 :rule cnf_or_neg :args (@t494 2)) % 0.41/0.78 (step @p496 :rule eq_resolve :premises (@p495 @p494)) % 0.41/0.78 (step @p497 :rule reordering :premises (@p496) :args ((or @t486 @t494))) % 0.41/0.78 (step @p498 :rule chain_m_resolution :premises (@p497 @p489) :args (@t486 @t482 @t495)) % 0.41/0.78 (step @p499 :rule bool-impl-elim :args (@t281 @t385)) % 0.41/0.78 (step @p500 :rule cong :premises (@p499) :args (@t386)) % 0.41/0.78 (step @p501 :rule eq_resolve :premises (@p344 @p500)) % 0.41/0.78 (step @p502 :rule instantiate :premises (@p501) :args ((@list @t490 @t483))) % 0.41/0.78 (step @p503 :rule bool-double-not-elim :args (@t488)) % 0.41/0.78 (step @p504 :rule nary_cong :premises (@p493 @p503) :args ((or @t494 (not @t489)))) % 0.41/0.78 (step @p505 :rule cnf_or_neg :args (@t494 1)) % 0.41/0.78 (step @p506 :rule eq_resolve :premises (@p505 @p504)) % 0.41/0.78 (step @p507 :rule reordering :premises (@p506) :args ((or @t488 @t494))) % 0.41/0.78 (step @p508 :rule chain_m_resolution :premises (@p507 @p489) :args (@t488 @t482 @t495)) % 0.41/0.78 (step @p509 :rule cnf_or_pos :args (@t498)) % 0.41/0.78 (step @p510 :rule reordering :premises (@p509) :args ((or @t489 @t497 (not @t498)))) % 0.41/0.78 (step @p511 :rule chain_m_resolution :premises (@p510 @p508 @p502) :args (@t497 @t499 (@list @t488 @t498))) % 0.41/0.78 (step @p512 :rule bool-impl-elim :args (@t281 @t388)) % 0.41/0.78 (step @p513 :rule cong :premises (@p512) :args (@t389)) % 0.41/0.78 (step @p514 :rule eq_resolve :premises (@p353 @p513)) % 0.41/0.78 (step @p515 :rule instantiate :premises (@p514) :args ((@list @t484 @t490))) % 0.41/0.78 (step @p516 :rule bool-impl-elim :args (@t281 @t383)) % 0.41/0.78 (step @p517 :rule cong :premises (@p516) :args (@t384)) % 0.41/0.78 (step @p518 :rule eq_resolve :premises (@p343 @p517)) % 0.41/0.78 (step @p519 :rule instantiate :premises (@p518) :args ((@list @t483))) % 0.41/0.78 (step @p520 :rule cnf_or_pos :args (@t501)) % 0.41/0.78 (step @p521 :rule reordering :premises (@p520) :args ((or @t489 @t500 (not @t501)))) % 0.41/0.78 (step @p522 :rule chain_m_resolution :premises (@p521 @p508 @p519) :args (@t500 @t499 (@list @t488 @t501))) % 0.41/0.78 (step @p523 :rule cnf_or_pos :args (@t505)) % 0.41/0.78 (step @p524 :rule reordering :premises (@p523) :args ((or @t504 @t503 (not @t505)))) % 0.41/0.78 (step @p525 :rule chain_m_resolution :premises (@p524 @p522 @p515) :args (@t503 @t499 (@list @t500 @t505))) % 0.41/0.78 (assume-push @p544 @t486) % 0.41/0.78 (assume-push @p545 @t497) % 0.41/0.78 (assume-push @p546 @t503) % 0.41/0.78 (step @p529 :rule symm :premises (@p511)) % 0.41/0.78 (step @p530 :rule cong :premises (@p529) :args (@t502)) % 0.41/0.78 (step @p531 :rule symm :premises (@p525)) % 0.41/0.78 (step @p532 :rule refl :args (@t490)) % 0.41/0.78 (step @p533 :rule cong :premises (@p532 @p498) :args (@t491)) % 0.41/0.78 (step @p534 :rule trans :premises (@p533 @p531 @p530)) % 0.41/0.78 (step-pop @p547 :rule scope :premises (@p534)) % 0.41/0.78 (step-pop @p548 :rule scope :premises (@p547)) % 0.41/0.78 (step-pop @p549 :rule scope :premises (@p548)) % 0.41/0.78 (step @p535 :rule process_scope :premises (@p549) :args (@t493)) % 0.41/0.78 (step @p539 :rule implies_elim :premises (@p535)) % 0.41/0.78 (step @p540 :rule cnf_and_neg :args (@t506)) % 0.41/0.78 (step @p541 :rule resolution :premises (@p540 @p539) :args (true @t506)) % 0.41/0.78 (step @p542 :rule reordering :premises (@p541) :args ((or @t493 @t487 (not @t497) (not @t503)))) % 0.41/0.78 (step @p543 false :rule chain_m_resolution :premises (@p542 @p525 @p511 @p498 @p491) :args (false (@list false false false true) (@list @t503 @t497 @t486 @t493))) % 0.41/0.78 ) % 0.41/0.78 % SZS output end Proof % 0.41/0.78 % cvc5 exiting %------------------------------------------------------------------------------