%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX050+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 09:07:03 AM UTC 2026 % Result : Theorem 34.04s 34.75s % Output : Proof 34.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX050+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:55:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.55 %----Proving TF0_NAR, FOF, or CNF % 34.04/34.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.04/34.75 --- Run --no-e-matching --full-saturate-quant at 6... % 34.04/34.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.04/34.75 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.04/34.75 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.04/34.75 % SZS status Theorem % 34.04/34.75 % SZS output start Proof % 34.04/34.75 ( % 34.04/34.75 (declare-sort $$unsorted 0) % 34.04/34.75 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.75 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 34.04/34.75 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 34.04/34.75 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.75 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.gr (-> $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 34.04/34.75 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 34.04/34.75 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.75 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 34.04/34.75 (declare-const |tptp.'0'| $$unsorted) % 34.04/34.75 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.nil $$unsorted) % 34.04/34.75 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.75 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.75 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.75 (define @t1 () (@var "Xx3" $$unsorted)) % 34.04/34.75 (define @t2 () (tptp.s @t1)) % 34.04/34.75 (define @t3 () (@var "Xx5" $$unsorted)) % 34.04/34.75 (define @t4 () (@var "Xx4" $$unsorted)) % 34.04/34.75 (define @t5 () (tptp.cons @t4 @t3)) % 34.04/34.75 (define @t6 () (@list @t4 @t3)) % 34.04/34.75 (define @t7 () (@var "Xx6" $$unsorted)) % 34.04/34.75 (define @t8 () (@var "Xx8" $$unsorted)) % 34.04/34.75 (define @t9 () (@var "Xx7" $$unsorted)) % 34.04/34.75 (define @t10 () (@var "Xx10" $$unsorted)) % 34.04/34.75 (define @t11 () (@var "Xx9" $$unsorted)) % 34.04/34.75 (define @t12 () (@var "Xx13" $$unsorted)) % 34.04/34.75 (define @t13 () (@var "Xx12" $$unsorted)) % 34.04/34.75 (define @t14 () (@var "Xx11" $$unsorted)) % 34.04/34.75 (define @t15 () (@var "Xx17" $$unsorted)) % 34.04/34.75 (define @t16 () (@var "Xx15" $$unsorted)) % 34.04/34.75 (define @t17 () (@var "Xx16" $$unsorted)) % 34.04/34.75 (define @t18 () (@var "Xx14" $$unsorted)) % 34.04/34.75 (define @t19 () (@var "Xx20" $$unsorted)) % 34.04/34.75 (define @t20 () (@var "Xx18" $$unsorted)) % 34.04/34.75 (define @t21 () (@var "Xx21" $$unsorted)) % 34.04/34.75 (define @t22 () (@var "Xx19" $$unsorted)) % 34.04/34.75 (define @t23 () (@var "Xx22" $$unsorted)) % 34.04/34.75 (define @t24 () (@var "Xx24" $$unsorted)) % 34.04/34.75 (define @t25 () (@var "Xx23" $$unsorted)) % 34.04/34.75 (define @t26 () (@var "Xx27" $$unsorted)) % 34.04/34.75 (define @t27 () (@var "Xx26" $$unsorted)) % 34.04/34.75 (define @t28 () (@var "Xx25" $$unsorted)) % 34.04/34.75 (define @t29 () (tptp.member2_fails @t28 @t27 @t26)) % 34.04/34.75 (define @t30 () (tptp.member2_succeeds @t28 @t27 @t26)) % 34.04/34.75 (define @t31 () (@list @t28 @t27 @t26)) % 34.04/34.75 (define @t32 () (@var "Xx30" $$unsorted)) % 34.04/34.75 (define @t33 () (@var "Xx29" $$unsorted)) % 34.04/34.75 (define @t34 () (@var "Xx28" $$unsorted)) % 34.04/34.75 (define @t35 () (tptp.occ_fails @t34 @t33 @t32)) % 34.04/34.75 (define @t36 () (tptp.occ_succeeds @t34 @t33 @t32)) % 34.04/34.75 (define @t37 () (@list @t34 @t33 @t32)) % 34.04/34.75 (define @t38 () (@var "Xx32" $$unsorted)) % 34.04/34.75 (define @t39 () (@var "Xx31" $$unsorted)) % 34.04/34.75 (define @t40 () (tptp.not_same_occ_fails @t39 @t38)) % 34.04/34.75 (define @t41 () (tptp.not_same_occ_succeeds @t39 @t38)) % 34.04/34.75 (define @t42 () (@list @t39 @t38)) % 34.04/34.75 (define @t43 () (@var "Xx34" $$unsorted)) % 34.04/34.75 (define @t44 () (@var "Xx33" $$unsorted)) % 34.04/34.75 (define @t45 () (tptp.same_occ_fails @t44 @t43)) % 34.04/34.75 (define @t46 () (tptp.same_occ_succeeds @t44 @t43)) % 34.04/34.75 (define @t47 () (@list @t44 @t43)) % 34.04/34.75 (define @t48 () (@var "Xx36" $$unsorted)) % 34.04/34.75 (define @t49 () (@var "Xx35" $$unsorted)) % 34.04/34.75 (define @t50 () (tptp.permutation_fails @t49 @t48)) % 34.04/34.75 (define @t51 () (tptp.permutation_succeeds @t49 @t48)) % 34.04/34.75 (define @t52 () (@list @t49 @t48)) % 34.04/34.75 (define @t53 () (@var "Xx39" $$unsorted)) % 34.04/34.75 (define @t54 () (@var "Xx38" $$unsorted)) % 34.04/34.75 (define @t55 () (@var "Xx37" $$unsorted)) % 34.04/34.75 (define @t56 () (tptp.delete_fails @t55 @t54 @t53)) % 34.04/34.75 (define @t57 () (tptp.delete_succeeds @t55 @t54 @t53)) % 34.04/34.75 (define @t58 () (@list @t55 @t54 @t53)) % 34.04/34.75 (define @t59 () (@var "Xx41" $$unsorted)) % 34.04/34.75 (define @t60 () (@var "Xx40" $$unsorted)) % 34.04/34.75 (define @t61 () (tptp.length_fails @t60 @t59)) % 34.04/34.75 (define @t62 () (tptp.length_succeeds @t60 @t59)) % 34.04/34.75 (define @t63 () (@list @t60 @t59)) % 34.04/34.75 (define @t64 () (@var "Xx44" $$unsorted)) % 34.04/34.75 (define @t65 () (@var "Xx43" $$unsorted)) % 34.04/34.75 (define @t66 () (@var "Xx42" $$unsorted)) % 34.04/34.75 (define @t67 () (tptp.append_fails @t66 @t65 @t64)) % 34.04/34.75 (define @t68 () (tptp.append_succeeds @t66 @t65 @t64)) % 34.04/34.75 (define @t69 () (@list @t66 @t65 @t64)) % 34.04/34.75 (define @t70 () (@var "Xx46" $$unsorted)) % 34.04/34.75 (define @t71 () (@var "Xx45" $$unsorted)) % 34.04/34.75 (define @t72 () (tptp.member_fails @t71 @t70)) % 34.04/34.75 (define @t73 () (tptp.member_succeeds @t71 @t70)) % 34.04/34.75 (define @t74 () (@list @t71 @t70)) % 34.04/34.75 (define @t75 () (@var "Xx47" $$unsorted)) % 34.04/34.75 (define @t76 () (tptp.list_fails @t75)) % 34.04/34.75 (define @t77 () (tptp.list_succeeds @t75)) % 34.04/34.75 (define @t78 () (@list @t75)) % 34.04/34.75 (define @t79 () (@var "Xx48" $$unsorted)) % 34.04/34.75 (define @t80 () (tptp.nat_list_fails @t79)) % 34.04/34.75 (define @t81 () (tptp.nat_list_succeeds @t79)) % 34.04/34.75 (define @t82 () (@list @t79)) % 34.04/34.75 (define @t83 () (@var "Xx51" $$unsorted)) % 34.04/34.75 (define @t84 () (@var "Xx50" $$unsorted)) % 34.04/34.75 (define @t85 () (@var "Xx49" $$unsorted)) % 34.04/34.75 (define @t86 () (tptp.times_fails @t85 @t84 @t83)) % 34.04/34.75 (define @t87 () (tptp.times_succeeds @t85 @t84 @t83)) % 34.04/34.75 (define @t88 () (@list @t85 @t84 @t83)) % 34.04/34.75 (define @t89 () (@var "Xx54" $$unsorted)) % 34.04/34.75 (define @t90 () (@var "Xx53" $$unsorted)) % 34.04/34.75 (define @t91 () (@var "Xx52" $$unsorted)) % 34.04/34.75 (define @t92 () (tptp.plus_fails @t91 @t90 @t89)) % 34.04/34.75 (define @t93 () (tptp.plus_succeeds @t91 @t90 @t89)) % 34.04/34.75 (define @t94 () (@list @t91 @t90 @t89)) % 34.04/34.75 (define @t95 () (@var "Xx56" $$unsorted)) % 34.04/34.75 (define @t96 () (@var "Xx55" $$unsorted)) % 34.04/34.75 (define @t97 () (|tptp.'@=<_fails'| @t96 @t95)) % 34.04/34.75 (define @t98 () (|tptp.'@=<_succeeds'| @t96 @t95)) % 34.04/34.75 (define @t99 () (@list @t96 @t95)) % 34.04/34.75 (define @t100 () (@var "Xx58" $$unsorted)) % 34.04/34.75 (define @t101 () (@var "Xx57" $$unsorted)) % 34.04/34.75 (define @t102 () (|tptp.'@<_fails'| @t101 @t100)) % 34.04/34.75 (define @t103 () (|tptp.'@<_succeeds'| @t101 @t100)) % 34.04/34.75 (define @t104 () (@list @t101 @t100)) % 34.04/34.75 (define @t105 () (@var "Xx59" $$unsorted)) % 34.04/34.75 (define @t106 () (tptp.nat_fails @t105)) % 34.04/34.75 (define @t107 () (tptp.nat_succeeds @t105)) % 34.04/34.75 (define @t108 () (@list @t105)) % 34.04/34.75 (define @t109 () (@var "Xx2" $$unsorted)) % 34.04/34.75 (define @t110 () (@var "Xx1" $$unsorted)) % 34.04/34.75 (define @t111 () (tptp.member_succeeds @t110 @t109)) % 34.04/34.75 (define @t112 () (@list @t110 @t109 @t1)) % 34.04/34.75 (define @t113 () (tptp.member_fails @t110 @t109)) % 34.04/34.75 (define @t114 () (tptp.member_terminates @t110 @t109)) % 34.04/34.75 (define @t115 () (= @t1 |tptp.'0'|)) % 34.04/34.75 (define @t116 () (= @t109 tptp.nil)) % 34.04/34.75 (define @t117 () (= @t1 (tptp.s @t9))) % 34.04/34.75 (define @t118 () (= @t109 (tptp.cons @t110 @t7))) % 34.04/34.75 (define @t119 () (@list @t7 @t9)) % 34.04/34.75 (define @t120 () (= @t110 @t4)) % 34.04/34.75 (define @t121 () (= @t109 @t5)) % 34.04/34.75 (define @t122 () (not @t115)) % 34.04/34.75 (define @t123 () (not @t116)) % 34.04/34.75 (define @t124 () (not @t117)) % 34.04/34.75 (define @t125 () (not @t118)) % 34.04/34.75 (define @t126 () (not @t121)) % 34.04/34.75 (define @t127 () (tptp.gr @t4)) % 34.04/34.75 (define @t128 () (tptp.gr @t110)) % 34.04/34.75 (define @t129 () (= @t4 @t3)) % 34.04/34.75 (define @t130 () (@list @t1 @t4 @t3)) % 34.04/34.75 (define @t131 () (tptp.not_same_occ_succeeds @t110 @t109)) % 34.04/34.75 (define @t132 () (@list @t110 @t109)) % 34.04/34.75 (define @t133 () (tptp.occ_fails @t1 @t109 @t3)) % 34.04/34.75 (define @t134 () (tptp.occ_fails @t1 @t110 @t4)) % 34.04/34.75 (define @t135 () (tptp.member2_fails @t1 @t110 @t109)) % 34.04/34.75 (define @t136 () (tptp.not_same_occ_fails @t110 @t109)) % 34.04/34.76 (define @t137 () (tptp.not_same_occ_terminates @t110 @t109)) % 34.04/34.76 (define @t138 () (= @t110 tptp.nil)) % 34.04/34.76 (define @t139 () (tptp.cons @t1 @t4)) % 34.04/34.76 (define @t140 () (= @t109 @t139)) % 34.04/34.76 (define @t141 () (not @t138)) % 34.04/34.76 (define @t142 () (tptp.delete_fails @t1 @t110 @t3)) % 34.04/34.76 (define @t143 () (not @t140)) % 34.04/34.76 (define @t144 () (or @t141 true)) % 34.04/34.76 (define @t145 () (= @t109 (tptp.cons @t110 @t1))) % 34.04/34.76 (define @t146 () (= @t1 (tptp.cons @t4 @t7))) % 34.04/34.76 (define @t147 () (@list @t4 @t3 @t7)) % 34.04/34.76 (define @t148 () (not @t146)) % 34.04/34.76 (define @t149 () (= @t109 |tptp.'0'|)) % 34.04/34.76 (define @t150 () (tptp.s @t3)) % 34.04/34.76 (define @t151 () (= @t109 @t150)) % 34.04/34.76 (define @t152 () (= @t110 @t139)) % 34.04/34.76 (define @t153 () (not @t151)) % 34.04/34.76 (define @t154 () (not @t152)) % 34.04/34.76 (define @t155 () (= @t1 @t109)) % 34.04/34.76 (define @t156 () (= @t110 @t5)) % 34.04/34.76 (define @t157 () (not @t155)) % 34.04/34.76 (define @t158 () (not @t156)) % 34.04/34.76 (define @t159 () (= @t109 (tptp.cons @t110 @t3))) % 34.04/34.76 (define @t160 () (@list @t3)) % 34.04/34.76 (define @t161 () (@list @t1 @t4)) % 34.04/34.76 (define @t162 () (tptp.list_succeeds @t1)) % 34.04/34.76 (define @t163 () (tptp.cons @t109 @t1)) % 34.04/34.76 (define @t164 () (= @t110 @t163)) % 34.04/34.76 (define @t165 () (@list @t109 @t1)) % 34.04/34.76 (define @t166 () (@list @t110)) % 34.04/34.76 (define @t167 () (not @t164)) % 34.04/34.76 (define @t168 () (tptp.nat_succeeds @t109)) % 34.04/34.76 (define @t169 () (tptp.nat_fails @t109)) % 34.04/34.76 (define @t170 () (tptp.nat_terminates @t109)) % 34.04/34.76 (define @t171 () (= @t110 |tptp.'0'|)) % 34.04/34.76 (define @t172 () (tptp.s @t4)) % 34.04/34.76 (define @t173 () (= @t110 @t172)) % 34.04/34.76 (define @t174 () (not @t171)) % 34.04/34.76 (define @t175 () (tptp.times_fails @t4 @t109 @t3)) % 34.04/34.76 (define @t176 () (not @t173)) % 34.04/34.76 (define @t177 () (or @t174 true)) % 34.04/34.76 (define @t178 () (= @t1 @t150)) % 34.04/34.76 (define @t179 () (not @t178)) % 34.04/34.76 (define @t180 () (= @t109 @t172)) % 34.04/34.76 (define @t181 () (= @t110 @t2)) % 34.04/34.76 (define @t182 () (not @t180)) % 34.04/34.76 (define @t183 () (not @t181)) % 34.04/34.76 (define @t184 () (= @t110 (tptp.s @t109))) % 34.04/34.76 (define @t185 () (@list @t109)) % 34.04/34.76 (define @t186 () (tptp.nat_succeeds @t110)) % 34.04/34.76 (define @t187 () (not @t184)) % 34.04/34.76 (define @t188 () (@var "Xx" $$unsorted)) % 34.04/34.76 (define @t189 () (tptp.nat_succeeds @t188)) % 34.04/34.76 (define @t190 () (@list @t188)) % 34.04/34.76 (define @t191 () (tptp.gr @t188)) % 34.04/34.76 (define @t192 () (@var "Xz" $$unsorted)) % 34.04/34.76 (define @t193 () (@var "Xy" $$unsorted)) % 34.04/34.76 (define @t194 () (tptp.plus_terminates @t188 @t193 @t192)) % 34.04/34.76 (define @t195 () (@list @t188 @t193 @t192)) % 34.04/34.76 (define @t196 () (tptp.nat_succeeds @t192)) % 34.04/34.76 (define @t197 () (tptp.plus_succeeds @t188 @t193 @t192)) % 34.04/34.76 (define @t198 () (tptp.nat_succeeds @t193)) % 34.04/34.76 (define @t199 () (tptp.gr @t192)) % 34.04/34.76 (define @t200 () (tptp.gr @t193)) % 34.04/34.76 (define @t201 () (@list @t192)) % 34.04/34.76 (define @t202 () (@list @t188 @t193)) % 34.04/34.76 (define @t203 () (@var "Xz2" $$unsorted)) % 34.04/34.76 (define @t204 () (@var "Xz1" $$unsorted)) % 34.04/34.76 (define @t205 () (= @t204 @t203)) % 34.04/34.76 (define @t206 () (@list @t188 @t193 @t204 @t203)) % 34.04/34.76 (define @t207 () (@list @t193)) % 34.04/34.76 (define @t208 () (|tptp.'@+'| @t188 @t193)) % 34.04/34.76 (define @t209 () (tptp.s @t188)) % 34.04/34.76 (define @t210 () (|tptp.'@+'| @t209 @t193)) % 34.04/34.76 (define @t211 () (and @t189 @t198)) % 34.04/34.76 (define @t212 () (|tptp.'@+'| @t193 @t192)) % 34.04/34.76 (define @t213 () (and @t189 @t198 @t196)) % 34.04/34.76 (define @t214 () (tptp.s @t193)) % 34.04/34.76 (define @t215 () (|tptp.'@+'| @t188 @t214)) % 34.04/34.76 (define @t216 () (|tptp.'@+'| @t193 @t188)) % 34.04/34.76 (define @t217 () (|tptp.'@+'| @t188 @t192)) % 34.04/34.76 (define @t218 () (tptp.times_succeeds @t188 @t193 @t192)) % 34.04/34.76 (define @t219 () (|tptp.'@*'| @t188 @t193)) % 34.04/34.76 (define @t220 () (|tptp.'@*'| @t209 @t193)) % 34.04/34.76 (define @t221 () (|tptp.'@*'| @t193 @t192)) % 34.04/34.76 (define @t222 () (|tptp.'@*'| @t188 @t192)) % 34.04/34.76 (define @t223 () (|tptp.'@*'| @t193 @t188)) % 34.04/34.76 (define @t224 () (tptp.s |tptp.'0'|)) % 34.04/34.76 (define @t225 () (|tptp.'@<_terminates'| @t188 @t193)) % 34.04/34.76 (define @t226 () (|tptp.'@<_succeeds'| @t188 @t193)) % 34.04/34.76 (define @t227 () (tptp.s @t192)) % 34.04/34.76 (define @t228 () (|tptp.'@<_succeeds'| @t188 @t192)) % 34.04/34.76 (define @t229 () (|tptp.'@<_succeeds'| @t188 @t214)) % 34.04/34.76 (define @t230 () (|tptp.'@<_succeeds'| @t193 @t192)) % 34.04/34.76 (define @t231 () (= @t188 @t193)) % 34.04/34.76 (define @t232 () (or @t226 @t231)) % 34.04/34.76 (define @t233 () (not (= @t188 |tptp.'0'|))) % 34.04/34.76 (define @t234 () (|tptp.'@=<_succeeds'| @t188 @t193)) % 34.04/34.76 (define @t235 () (|tptp.'@=<_succeeds'| @t193 @t188)) % 34.04/34.76 (define @t236 () (|tptp.'@=<_succeeds'| @t193 @t192)) % 34.04/34.76 (define @t237 () (|tptp.'@<_succeeds'| @t208 @t217)) % 34.04/34.76 (define @t238 () (|tptp.'@<_succeeds'| @t217 @t212)) % 34.04/34.76 (define @t239 () (|tptp.'@=<_succeeds'| @t208 @t217)) % 34.04/34.76 (define @t240 () (and @t234 @t198 @t196)) % 34.04/34.76 (define @t241 () (@var "Xy2" $$unsorted)) % 34.04/34.76 (define @t242 () (@var "Xy1" $$unsorted)) % 34.04/34.76 (define @t243 () (|tptp.'@+'| @t242 @t241)) % 34.04/34.76 (define @t244 () (|tptp.'@+'| @t110 @t109)) % 34.04/34.76 (define @t245 () (tptp.nat_succeeds @t242)) % 34.04/34.76 (define @t246 () (|tptp.'@=<_succeeds'| @t109 @t241)) % 34.04/34.76 (define @t247 () (|tptp.'@=<_succeeds'| @t110 @t242)) % 34.04/34.76 (define @t248 () (@list @t110 @t109 @t242 @t241)) % 34.04/34.76 (define @t249 () (|tptp.'@<_succeeds'| @t244 @t243)) % 34.04/34.76 (define @t250 () (|tptp.'@<_succeeds'| @t110 @t242)) % 34.04/34.76 (define @t251 () (|tptp.'@<_succeeds'| @t109 @t241)) % 34.04/34.76 (define @t252 () (@var "Xl" $$unsorted)) % 34.04/34.76 (define @t253 () (tptp.list_succeeds @t252)) % 34.04/34.76 (define @t254 () (tptp.cons @t188 @t252)) % 34.04/34.76 (define @t255 () (@list @t188 @t252)) % 34.04/34.76 (define @t256 () (@list @t252)) % 34.04/34.76 (define @t257 () (tptp.member_succeeds @t188 @t252)) % 34.04/34.76 (define @t258 () (tptp.gr @t252)) % 34.04/34.76 (define @t259 () (not @t231)) % 34.04/34.76 (define @t260 () (tptp.cons @t193 @t252)) % 34.04/34.76 (define @t261 () (@var "Xl1" $$unsorted)) % 34.04/34.76 (define @t262 () (tptp.list_succeeds @t261)) % 34.04/34.76 (define @t263 () (@var "Xl3" $$unsorted)) % 34.04/34.76 (define @t264 () (@var "Xl2" $$unsorted)) % 34.04/34.76 (define @t265 () (tptp.append_succeeds @t261 @t264 @t263)) % 34.04/34.76 (define @t266 () (@list @t261 @t264 @t263)) % 34.04/34.76 (define @t267 () (tptp.list_succeeds @t263)) % 34.04/34.76 (define @t268 () (tptp.list_succeeds @t264)) % 34.04/34.76 (define @t269 () (and @t265 @t267)) % 34.04/34.76 (define @t270 () (and @t262 @t268)) % 34.04/34.76 (define @t271 () (tptp.append_terminates @t261 @t264 @t263)) % 34.04/34.76 (define @t272 () (tptp.gr @t263)) % 34.04/34.76 (define @t273 () (tptp.gr @t264)) % 34.04/34.76 (define @t274 () (tptp.gr @t261)) % 34.04/34.76 (define @t275 () (and @t274 @t273)) % 34.04/34.76 (define @t276 () (@list @t261 @t264)) % 34.04/34.76 (define @t277 () (@var "Xl4" $$unsorted)) % 34.04/34.76 (define @t278 () (@list @t261 @t264 @t263 @t277)) % 34.04/34.76 (define @t279 () (|tptp.'**'| @t261 @t264)) % 34.04/34.76 (define @t280 () (tptp.cons @t188 @t261)) % 34.04/34.76 (define @t281 () (@list @t188 @t261 @t264)) % 34.04/34.76 (define @t282 () (tptp.list_succeeds @t279)) % 34.04/34.76 (define @t283 () (and @t262 @t282)) % 34.04/34.76 (define @t284 () (forall @t276 (=> @t283 @t268))) % 34.04/34.76 (define @t285 () (tptp.gr @t279)) % 34.04/34.76 (define @t286 () (|tptp.'**'| @t264 @t263)) % 34.04/34.76 (define @t287 () (@var "Xn" $$unsorted)) % 34.04/34.76 (define @t288 () (tptp.nat_succeeds @t287)) % 34.04/34.76 (define @t289 () (and @t253 @t288)) % 34.04/34.76 (define @t290 () (tptp.length_succeeds @t252 @t287)) % 34.04/34.76 (define @t291 () (@list @t252 @t287)) % 34.04/34.76 (define @t292 () (tptp.gr @t287)) % 34.04/34.76 (define @t293 () (@list @t287)) % 34.04/34.76 (define @t294 () (@var "Xm" $$unsorted)) % 34.04/34.76 (define @t295 () (= @t294 @t287)) % 34.04/34.76 (define @t296 () (tptp.lh @t252)) % 34.04/34.76 (define @t297 () (tptp.lh @t254)) % 34.04/34.76 (define @t298 () (tptp.cons @t188 @t264)) % 34.04/34.76 (define @t299 () (tptp.s @t287)) % 34.04/34.76 (define @t300 () (tptp.lh @t261)) % 34.04/34.76 (define @t301 () (tptp.lh @t264)) % 34.04/34.76 (define @t302 () (|tptp.'@+'| @t300 @t301)) % 34.04/34.76 (define @t303 () (tptp.lh @t279)) % 34.04/34.76 (define @t304 () (tptp.lh @t263)) % 34.04/34.76 (define @t305 () (@var "Xi" $$unsorted)) % 34.04/34.76 (define @t306 () (tptp.cons @t188 @t305)) % 34.04/34.76 (define @t307 () (@var "Xk" $$unsorted)) % 34.04/34.76 (define @t308 () (@var "Xj" $$unsorted)) % 34.04/34.76 (define @t309 () (tptp.sub @t305 @t308)) % 34.04/34.76 (define @t310 () (@list @t188 @t305 @t308)) % 34.04/34.76 (define @t311 () (tptp.append_succeeds @t261 @t298 @t263)) % 34.04/34.76 (define @t312 () (tptp.member_succeeds @t188 @t263)) % 34.04/34.76 (define @t313 () (tptp.member_succeeds @t188 @t261)) % 34.04/34.76 (define @t314 () (@list @t188 @t261 @t264 @t263)) % 34.04/34.76 (define @t315 () (tptp.member_succeeds @t188 @t264)) % 34.04/34.76 (define @t316 () (tptp.member_succeeds @t188 @t279)) % 34.04/34.76 (define @t317 () (or @t313 @t315)) % 34.04/34.76 (define @t318 () (= @t261 tptp.nil)) % 34.04/34.76 (define @t319 () (tptp.nat_list_succeeds @t252)) % 34.04/34.76 (define @t320 () (|tptp.'@<_succeeds'| @t302 @t287)) % 34.04/34.76 (define @t321 () (tptp.delete_terminates @t188 @t261 @t264)) % 34.04/34.76 (define @t322 () (tptp.delete_succeeds @t188 @t261 @t264)) % 34.04/34.76 (define @t323 () (and @t322 @t262)) % 34.04/34.76 (define @t324 () (forall @t281 (=> @t323 @t268))) % 34.04/34.76 (define @t325 () (|tptp.'**'| @t263 @t277)) % 34.04/34.76 (define @t326 () (= @t264 @t325)) % 34.04/34.76 (define @t327 () (= @t261 (|tptp.'**'| @t263 (tptp.cons @t188 @t277)))) % 34.04/34.76 (define @t328 () (and @t267 @t327 @t326)) % 34.04/34.76 (define @t329 () (@list @t263 @t277)) % 34.04/34.76 (define @t330 () (exists @t329 @t328)) % 34.04/34.76 (define @t331 () (=> @t322 @t330)) % 34.04/34.76 (define @t332 () (forall @t281 @t331)) % 34.04/34.76 (define @t333 () (tptp.member_succeeds @t193 @t264)) % 34.04/34.76 (define @t334 () (tptp.member_succeeds @t193 @t261)) % 34.04/34.76 (define @t335 () (@list @t188 @t193 @t261 @t264)) % 34.04/34.76 (define @t336 () (tptp.occ_succeeds @t188 @t252 @t294)) % 34.04/34.76 (define @t337 () (tptp.occ @t188 @t252)) % 34.04/34.76 (define @t338 () (tptp.permutation_terminates @t261 @t264)) % 34.04/34.76 (define @t339 () (@list @t188 @t252 @t287)) % 34.04/34.76 (define @t340 () (tptp.occ_succeeds @t188 @t252 @t287)) % 34.04/34.76 (define @t341 () (and @t262 @t268 @t274 @t273)) % 34.04/34.76 (define @t342 () (tptp.occ @t188 @t260)) % 34.04/34.76 (define @t343 () (and @t253 @t259)) % 34.04/34.76 (define @t344 () (=> @t343 (= @t342 @t337))) % 34.04/34.76 (define @t345 () (@list @t188 @t193 @t252)) % 34.04/34.76 (define @t346 () (forall @t345 @t344)) % 34.04/34.76 (define @t347 () (= (tptp.occ @t188 @t279) (|tptp.'@+'| (tptp.occ @t188 @t261) (tptp.occ @t188 @t264)))) % 34.04/34.76 (define @t348 () (forall @t281 (=> @t270 @t347))) % 34.04/34.76 (define @t349 () (tptp.occ @t193 @t264)) % 34.04/34.76 (define @t350 () (tptp.occ @t193 @t261)) % 34.04/34.76 (define @t351 () (= @t350 @t349)) % 34.04/34.76 (define @t352 () (@list @t188 @t193 @t264)) % 34.04/34.76 (define @t353 () (forall @t352 (=> (and @t259 @t322) @t351))) % 34.04/34.76 (define @t354 () (@list @t261)) % 34.04/34.76 (define @t355 () (and @t262 @t322 @t259)) % 34.04/34.76 (define @t356 () (=> @t355 @t351)) % 34.04/34.76 (define @t357 () (forall @t335 @t356)) % 34.04/34.76 (define @t358 () (not @t357)) % 34.04/34.76 (define @t359 () (= @t349 @t350)) % 34.04/34.76 (define @t360 () (not @t322)) % 34.04/34.76 (define @t361 () (not @t262)) % 34.04/34.76 (define @t362 () (or @t361 @t360 @t231 @t359)) % 34.04/34.76 (define @t363 () (not @t259)) % 34.04/34.76 (define @t364 () (or @t361 @t360 @t363)) % 34.04/34.76 (define @t365 () (or @t361 @t231 @t360 @t359)) % 34.04/34.76 (define @t366 () (forall @t335 @t362)) % 34.04/34.76 (define @t367 () (forall @t335 @t365)) % 34.04/34.76 (define @t368 () (@var "BOUND_VARIABLE_13442" $$unsorted)) % 34.04/34.76 (define @t369 () (@var "BOUND_VARIABLE_13441" $$unsorted)) % 34.04/34.76 (define @t370 () (@var "BOUND_VARIABLE_13443" $$unsorted)) % 34.04/34.76 (define @t371 () (@var "BOUND_VARIABLE_13440" $$unsorted)) % 34.04/34.76 (define @t372 () (@list @t371 @t369 @t368 @t370)) % 34.04/34.76 (define @t373 () (@var "BOUND_VARIABLE_10737" $$unsorted)) % 34.04/34.76 (define @t374 () (@var "BOUND_VARIABLE_10739" $$unsorted)) % 34.04/34.76 (define @t375 () (@var "BOUND_VARIABLE_10735" $$unsorted)) % 34.04/34.76 (define @t376 () (forall (@list @t261 @t375 @t373 @t374) (or @t361 (= @t375 @t373) (not (tptp.delete_succeeds @t375 @t261 @t374)) (= (tptp.occ @t373 @t374) (tptp.occ @t373 @t261))))) % 34.04/34.76 (define @t377 () (not @t376)) % 34.04/34.76 (define @t378 () (@list true)) % 34.04/34.76 (define @t379 () (@quantifiers_skolemize @t376 0)) % 34.04/34.76 (define @t380 () (@quantifiers_skolemize @t376 2)) % 34.04/34.76 (define @t381 () (@quantifiers_skolemize @t376 3)) % 34.04/34.76 (define @t382 () (tptp.occ @t380 @t381)) % 34.04/34.76 (define @t383 () (= @t382 (tptp.occ @t380 @t379))) % 34.04/34.76 (define @t384 () (@quantifiers_skolemize @t376 1)) % 34.04/34.76 (define @t385 () (tptp.delete_succeeds @t384 @t379 @t381)) % 34.04/34.76 (define @t386 () (not @t385)) % 34.04/34.76 (define @t387 () (= @t384 @t380)) % 34.04/34.76 (define @t388 () (tptp.list_succeeds @t379)) % 34.04/34.76 (define @t389 () (not @t388)) % 34.04/34.76 (define @t390 () (or @t389 @t387 @t386 @t383)) % 34.04/34.76 (define @t391 () (@list @t390)) % 34.04/34.76 (define @t392 () (not @t326)) % 34.04/34.76 (define @t393 () (not @t327)) % 34.04/34.76 (define @t394 () (not @t267)) % 34.04/34.76 (define @t395 () (or @t394 @t393 @t392)) % 34.04/34.76 (define @t396 () (not (forall @t329 @t395))) % 34.04/34.76 (define @t397 () (forall @t329 (not @t328))) % 34.04/34.76 (define @t398 () (not @t397)) % 34.04/34.76 (define @t399 () (not (= @t381 @t325))) % 34.04/34.76 (define @t400 () (not (= @t379 (|tptp.'**'| @t263 (tptp.cons @t384 @t277))))) % 34.04/34.76 (define @t401 () (or @t394 @t400 @t399)) % 34.04/34.76 (define @t402 () (forall @t329 @t401)) % 34.04/34.76 (define @t403 () (not @t402)) % 34.04/34.76 (define @t404 () (or @t386 @t403)) % 34.04/34.76 (define @t405 () (forall @t281 (or @t360 @t396))) % 34.04/34.76 (define @t406 () (@list @t384 @t379 @t381)) % 34.04/34.76 (define @t407 () (forall @t329 (or @t394 @t400 (not (= @t325 @t381))))) % 34.04/34.76 (define @t408 () (not @t407)) % 34.04/34.76 (define @t409 () (or @t386 @t408)) % 34.04/34.76 (define @t410 () (@list false)) % 34.04/34.76 (define @t411 () (@quantifiers_skolemize @t407 1)) % 34.04/34.76 (define @t412 () (@quantifiers_skolemize @t407 0)) % 34.04/34.76 (define @t413 () (|tptp.'**'| @t412 @t411)) % 34.04/34.76 (define @t414 () (= @t381 @t413)) % 34.04/34.76 (define @t415 () (not @t414)) % 34.04/34.76 (define @t416 () (tptp.cons @t384 @t411)) % 34.04/34.76 (define @t417 () (|tptp.'**'| @t412 @t416)) % 34.04/34.76 (define @t418 () (= @t379 @t417)) % 34.04/34.76 (define @t419 () (not @t418)) % 34.04/34.76 (define @t420 () (tptp.list_succeeds @t412)) % 34.04/34.76 (define @t421 () (not @t420)) % 34.04/34.76 (define @t422 () (or @t421 @t419 @t415)) % 34.04/34.76 (define @t423 () (not @t422)) % 34.04/34.76 (define @t424 () (not (= @t413 @t381))) % 34.04/34.76 (define @t425 () (or @t421 @t419 @t424)) % 34.04/34.76 (define @t426 () (not @t425)) % 34.04/34.76 (define @t427 () (@list @t422)) % 34.04/34.76 (define @t428 () (not @t268)) % 34.04/34.76 (define @t429 () (not @t282)) % 34.04/34.76 (define @t430 () (tptp.list_succeeds @t417)) % 34.04/34.76 (define @t431 () (tptp.list_succeeds @t416)) % 34.04/34.76 (define @t432 () (not @t430)) % 34.04/34.76 (define @t433 () (or @t421 @t432 @t431)) % 34.04/34.76 (define @t434 () (@list false false false)) % 34.04/34.76 (define @t435 () (tptp.occ @t380 @t416)) % 34.04/34.76 (define @t436 () (tptp.occ @t380 @t412)) % 34.04/34.76 (define @t437 () (tptp.occ @t380 @t417)) % 34.04/34.76 (define @t438 () (= @t437 (|tptp.'@+'| @t436 @t435))) % 34.04/34.76 (define @t439 () (not @t431)) % 34.04/34.76 (define @t440 () (or @t421 @t439 @t438)) % 34.04/34.76 (define @t441 () (tptp.list_succeeds @t381)) % 34.04/34.76 (define @t442 () (or @t386 @t389 @t441)) % 34.04/34.76 (define @t443 () (tptp.list_succeeds @t413)) % 34.04/34.76 (define @t444 () (tptp.list_succeeds @t411)) % 34.04/34.76 (define @t445 () (not @t443)) % 34.04/34.76 (define @t446 () (or @t421 @t445 @t444)) % 34.04/34.76 (define @t447 () (tptp.occ @t380 @t411)) % 34.04/34.76 (define @t448 () (|tptp.'@+'| @t436 @t447)) % 34.04/34.76 (define @t449 () (= (tptp.occ @t380 @t413) @t448)) % 34.04/34.76 (define @t450 () (not @t444)) % 34.04/34.76 (define @t451 () (or @t421 @t450 @t449)) % 34.04/34.76 (define @t452 () (= @t337 @t342)) % 34.04/34.76 (define @t453 () (not @t253)) % 34.04/34.76 (define @t454 () (or @t453 @t231 @t452)) % 34.04/34.76 (define @t455 () (or @t450 (= @t380 @t384) (= @t447 @t435))) % 34.04/34.76 (define @t456 () (forall @t345 @t454)) % 34.04/34.76 (define @t457 () (= @t435 @t447)) % 34.04/34.76 (define @t458 () (or @t450 @t387 @t457)) % 34.04/34.76 (define @t459 () (and @t418 @t414 @t438 @t449 @t457)) % 34.04/34.76 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 34.04/34.76 (assume @p2 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 34.04/34.76 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 34.04/34.76 (assume @p4 (forall (@list @t7) (not (= tptp.nil (tptp.s @t7))))) % 34.04/34.76 (assume @p5 (forall (@list @t9 @t8) (not (= tptp.nil (tptp.cons @t9 @t8))))) % 34.04/34.76 (assume @p6 (forall (@list @t11 @t10) (=> (= (tptp.s @t11) (tptp.s @t10)) (= @t11 @t10)))) % 34.04/34.76 (assume @p7 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 34.04/34.76 (assume @p8 (forall (@list @t18 @t16 @t17 @t15) (=> (= (tptp.cons @t18 @t16) (tptp.cons @t17 @t15)) (= @t16 @t15)))) % 34.04/34.76 (assume @p9 (forall (@list @t20 @t22 @t19 @t21) (=> (= (tptp.cons @t20 @t22) (tptp.cons @t19 @t21)) (= @t20 @t19)))) % 34.04/34.76 (assume @p10 (tptp.gr |tptp.'0'|)) % 34.04/34.76 (assume @p11 (tptp.gr tptp.nil)) % 34.04/34.76 (assume @p12 (forall (@list @t23) (= (tptp.gr @t23) (tptp.gr (tptp.s @t23))))) % 34.04/34.76 (assume @p13 (forall (@list @t25 @t24) (= (and (tptp.gr @t25) (tptp.gr @t24)) (tptp.gr (tptp.cons @t25 @t24))))) % 34.04/34.76 (assume @p14 (forall @t31 (not (and @t30 @t29)))) % 34.04/34.76 (assume @p15 (forall @t31 (=> (tptp.member2_terminates @t28 @t27 @t26) (or @t30 @t29)))) % 34.04/34.76 (assume @p16 (forall @t37 (not (and @t36 @t35)))) % 34.04/34.76 (assume @p17 (forall @t37 (=> (tptp.occ_terminates @t34 @t33 @t32) (or @t36 @t35)))) % 34.04/34.76 (assume @p18 (forall @t42 (not (and @t41 @t40)))) % 34.04/34.76 (assume @p19 (forall @t42 (=> (tptp.not_same_occ_terminates @t39 @t38) (or @t41 @t40)))) % 34.04/34.76 (assume @p20 (forall @t47 (not (and @t46 @t45)))) % 34.04/34.76 (assume @p21 (forall @t47 (=> (tptp.same_occ_terminates @t44 @t43) (or @t46 @t45)))) % 34.04/34.76 (assume @p22 (forall @t52 (not (and @t51 @t50)))) % 34.04/34.76 (assume @p23 (forall @t52 (=> (tptp.permutation_terminates @t49 @t48) (or @t51 @t50)))) % 34.04/34.76 (assume @p24 (forall @t58 (not (and @t57 @t56)))) % 34.04/34.76 (assume @p25 (forall @t58 (=> (tptp.delete_terminates @t55 @t54 @t53) (or @t57 @t56)))) % 34.04/34.76 (assume @p26 (forall @t63 (not (and @t62 @t61)))) % 34.04/34.76 (assume @p27 (forall @t63 (=> (tptp.length_terminates @t60 @t59) (or @t62 @t61)))) % 34.04/34.76 (assume @p28 (forall @t69 (not (and @t68 @t67)))) % 34.04/34.76 (assume @p29 (forall @t69 (=> (tptp.append_terminates @t66 @t65 @t64) (or @t68 @t67)))) % 34.04/34.76 (assume @p30 (forall @t74 (not (and @t73 @t72)))) % 34.04/34.76 (assume @p31 (forall @t74 (=> (tptp.member_terminates @t71 @t70) (or @t73 @t72)))) % 34.04/34.76 (assume @p32 (forall @t78 (not (and @t77 @t76)))) % 34.04/34.76 (assume @p33 (forall @t78 (=> (tptp.list_terminates @t75) (or @t77 @t76)))) % 34.04/34.76 (assume @p34 (forall @t82 (not (and @t81 @t80)))) % 34.04/34.76 (assume @p35 (forall @t82 (=> (tptp.nat_list_terminates @t79) (or @t81 @t80)))) % 34.04/34.76 (assume @p36 (forall @t88 (not (and @t87 @t86)))) % 34.04/34.76 (assume @p37 (forall @t88 (=> (tptp.times_terminates @t85 @t84 @t83) (or @t87 @t86)))) % 34.04/34.76 (assume @p38 (forall @t94 (not (and @t93 @t92)))) % 34.04/34.76 (assume @p39 (forall @t94 (=> (tptp.plus_terminates @t91 @t90 @t89) (or @t93 @t92)))) % 34.04/34.76 (assume @p40 (forall @t99 (not (and @t98 @t97)))) % 34.04/34.76 (assume @p41 (forall @t99 (=> (|tptp.'@=<_terminates'| @t96 @t95) (or @t98 @t97)))) % 34.04/34.76 (assume @p42 (forall @t104 (not (and @t103 @t102)))) % 34.04/34.76 (assume @p43 (forall @t104 (=> (|tptp.'@<_terminates'| @t101 @t100) (or @t103 @t102)))) % 34.04/34.76 (assume @p44 (forall @t108 (not (and @t107 @t106)))) % 34.04/34.76 (assume @p45 (forall @t108 (=> (tptp.nat_terminates @t105) (or @t107 @t106)))) % 34.04/34.76 (assume @p46 (forall @t112 (= (tptp.member2_succeeds @t110 @t109 @t1) (or (tptp.member_succeeds @t110 @t1) @t111)))) % 34.04/34.76 (assume @p47 (forall @t112 (= (tptp.member2_fails @t110 @t109 @t1) (and (tptp.member_fails @t110 @t1) @t113)))) % 34.04/34.76 (assume @p48 (forall @t112 (= (tptp.member2_terminates @t110 @t109 @t1) (and (tptp.member_terminates @t110 @t1) @t114)))) % 34.04/34.76 (assume @p49 (forall @t112 (= (tptp.occ_succeeds @t110 @t109 @t1) (or (exists @t6 (and @t121 (not @t120) (tptp.occ_succeeds @t110 @t3 @t1))) (exists @t119 (and @t118 @t117 (tptp.occ_succeeds @t110 @t7 @t9))) (and @t116 @t115))))) % 34.04/34.76 (assume @p50 (forall @t112 (= (tptp.occ_fails @t110 @t109 @t1) (and (forall @t6 (or @t126 @t120 (tptp.occ_fails @t110 @t3 @t1))) (forall @t119 (or @t125 @t124 (tptp.occ_fails @t110 @t7 @t9))) (or @t123 @t122))))) % 34.04/34.76 (assume @p51 (forall @t112 (= (tptp.occ_terminates @t110 @t109 @t1) (and (forall @t6 (and true (or @t126 (and true @t128 @t127 (or @t120 (tptp.occ_terminates @t110 @t3 @t1)))))) (forall @t119 (and true (or @t125 (and true (or @t124 (tptp.occ_terminates @t110 @t7 @t9)))))) true (or @t123 true))))) % 34.04/34.76 (assume @p52 (forall @t132 (= @t131 (exists @t130 (and (tptp.member2_succeeds @t1 @t110 @t109) (tptp.occ_succeeds @t1 @t110 @t4) (tptp.occ_succeeds @t1 @t109 @t3) (not @t129)))))) % 34.04/34.76 (assume @p53 (forall @t132 (= @t136 (forall @t130 (or @t135 @t134 @t133 @t129))))) % 34.04/34.76 (assume @p54 (forall @t132 (= @t137 (forall @t130 (and (tptp.member2_terminates @t1 @t110 @t109) (or @t135 (and (tptp.occ_terminates @t1 @t110 @t4) (or @t134 (and (tptp.occ_terminates @t1 @t109 @t3) (or @t133 (and true @t127 (tptp.gr @t3)))))))))))) % 34.04/34.76 (assume @p55 (forall @t132 (= (tptp.same_occ_succeeds @t110 @t109) @t136))) % 34.04/34.76 (assume @p56 (forall @t132 (= (tptp.same_occ_fails @t110 @t109) @t131))) % 34.04/34.76 (assume @p57 (forall @t132 (= (tptp.same_occ_terminates @t110 @t109) (and @t137 @t128 (tptp.gr @t109))))) % 34.04/34.76 (assume @p58 (forall @t132 (= (tptp.permutation_succeeds @t110 @t109) (or (exists @t130 (and @t140 (tptp.delete_succeeds @t1 @t110 @t3) (tptp.permutation_succeeds @t3 @t4))) (and @t138 @t116))))) % 34.04/34.76 (assume @p59 (forall @t132 (= (tptp.permutation_fails @t110 @t109) (and (forall @t130 (or @t143 @t142 (tptp.permutation_fails @t3 @t4))) (or @t141 @t123))))) % 34.04/34.76 (assume @p60 (forall @t132 (= (tptp.permutation_terminates @t110 @t109) (and (forall @t130 (and true (or @t143 (and (tptp.delete_terminates @t1 @t110 @t3) (or @t142 (tptp.permutation_terminates @t3 @t4)))))) true @t144)))) % 34.04/34.76 (assume @p61 (forall @t112 (= (tptp.delete_succeeds @t110 @t109 @t1) (or (exists @t147 (and @t121 @t146 (tptp.delete_succeeds @t110 @t3 @t7))) @t145)))) % 34.04/34.76 (assume @p62 (forall @t112 (= (tptp.delete_fails @t110 @t109 @t1) (and (forall @t147 (or @t126 @t148 (tptp.delete_fails @t110 @t3 @t7))) (not @t145))))) % 34.04/34.76 (assume @p63 (forall @t112 (= (tptp.delete_terminates @t110 @t109 @t1) (and (forall @t147 (and true (or @t126 (and true (or @t148 (tptp.delete_terminates @t110 @t3 @t7)))))) true)))) % 34.04/34.76 (assume @p64 (forall @t132 (= (tptp.length_succeeds @t110 @t109) (or (exists @t130 (and @t152 @t151 (tptp.length_succeeds @t4 @t3))) (and @t138 @t149))))) % 34.04/34.76 (assume @p65 (forall @t132 (= (tptp.length_fails @t110 @t109) (and (forall @t130 (or @t154 @t153 (tptp.length_fails @t4 @t3))) (or @t141 (not @t149)))))) % 34.04/34.76 (assume @p66 (forall @t132 (= (tptp.length_terminates @t110 @t109) (and (forall @t130 (and true (or @t154 (and true (or @t153 (tptp.length_terminates @t4 @t3)))))) true @t144)))) % 34.04/34.76 (assume @p67 (forall @t112 (= (tptp.append_succeeds @t110 @t109 @t1) (or (exists @t147 (and @t156 @t146 (tptp.append_succeeds @t3 @t109 @t7))) (and @t138 @t155))))) % 34.04/34.76 (assume @p68 (forall @t112 (= (tptp.append_fails @t110 @t109 @t1) (and (forall @t147 (or @t158 @t148 (tptp.append_fails @t3 @t109 @t7))) (or @t141 @t157))))) % 34.04/34.76 (assume @p69 (forall @t112 (= (tptp.append_terminates @t110 @t109 @t1) (and (forall @t147 (and true (or @t158 (and true (or @t148 (tptp.append_terminates @t3 @t109 @t7)))))) true @t144)))) % 34.04/34.76 (assume @p70 (forall @t132 (= @t111 (or (exists @t161 (and @t140 (tptp.member_succeeds @t110 @t4))) (exists @t160 @t159))))) % 34.04/34.76 (assume @p71 (forall @t132 (= @t113 (and (forall @t161 (or @t143 (tptp.member_fails @t110 @t4))) (forall @t160 (not @t159)))))) % 34.04/34.76 (assume @p72 (forall @t132 (= @t114 (and (forall @t161 (and true (or @t143 (tptp.member_terminates @t110 @t4)))) (forall @t160 true))))) % 34.04/34.76 (assume @p73 (forall @t166 (= (tptp.list_succeeds @t110) (or (exists @t165 (and @t164 @t162)) @t138)))) % 34.04/34.76 (assume @p74 (forall @t166 (= (tptp.list_fails @t110) (and (forall @t165 (or @t167 (tptp.list_fails @t1))) @t141)))) % 34.04/34.76 (assume @p75 (forall @t166 (= (tptp.list_terminates @t110) (and (forall @t165 (and true (or @t167 (tptp.list_terminates @t1)))) true)))) % 34.04/34.76 (assume @p76 (forall @t166 (= (tptp.nat_list_succeeds @t110) (or (exists @t165 (and @t164 @t168 (tptp.nat_list_succeeds @t1))) @t138)))) % 34.04/34.76 (assume @p77 (forall @t166 (= (tptp.nat_list_fails @t110) (and (forall @t165 (or @t167 @t169 (tptp.nat_list_fails @t1))) @t141)))) % 34.04/34.76 (assume @p78 (forall @t166 (= (tptp.nat_list_terminates @t110) (and (forall @t165 (and true (or @t167 (and @t170 (or @t169 (tptp.nat_list_terminates @t1)))))) true)))) % 34.04/34.76 (assume @p79 (forall @t112 (= (tptp.times_succeeds @t110 @t109 @t1) (or (exists @t6 (and @t173 (tptp.times_succeeds @t4 @t109 @t3) (tptp.plus_succeeds @t109 @t3 @t1))) (and @t171 @t115))))) % 34.04/34.76 (assume @p80 (forall @t112 (= (tptp.times_fails @t110 @t109 @t1) (and (forall @t6 (or @t176 @t175 (tptp.plus_fails @t109 @t3 @t1))) (or @t174 @t122))))) % 34.04/34.76 (assume @p81 (forall @t112 (= (tptp.times_terminates @t110 @t109 @t1) (and (forall @t6 (and true (or @t176 (and (tptp.times_terminates @t4 @t109 @t3) (or @t175 (tptp.plus_terminates @t109 @t3 @t1)))))) true @t177)))) % 34.04/34.76 (assume @p82 (forall @t112 (= (tptp.plus_succeeds @t110 @t109 @t1) (or (exists @t6 (and @t173 @t178 (tptp.plus_succeeds @t4 @t109 @t3))) (and @t171 @t155))))) % 34.04/34.76 (assume @p83 (forall @t112 (= (tptp.plus_fails @t110 @t109 @t1) (and (forall @t6 (or @t176 @t179 (tptp.plus_fails @t4 @t109 @t3))) (or @t174 @t157))))) % 34.04/34.76 (assume @p84 (forall @t112 (= (tptp.plus_terminates @t110 @t109 @t1) (and (forall @t6 (and true (or @t176 (and true (or @t179 (tptp.plus_terminates @t4 @t109 @t3)))))) true @t177)))) % 34.04/34.76 (assume @p85 (forall @t132 (= (|tptp.'@=<_succeeds'| @t110 @t109) (or (exists @t161 (and @t181 @t180 (|tptp.'@=<_succeeds'| @t1 @t4))) @t171)))) % 34.04/34.76 (assume @p86 (forall @t132 (= (|tptp.'@=<_fails'| @t110 @t109) (and (forall @t161 (or @t183 @t182 (|tptp.'@=<_fails'| @t1 @t4))) @t174)))) % 34.04/34.76 (assume @p87 (forall @t132 (= (|tptp.'@=<_terminates'| @t110 @t109) (and (forall @t161 (and true (or @t183 (and true (or @t182 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 34.04/34.76 (assume @p88 (forall @t132 (= (|tptp.'@<_succeeds'| @t110 @t109) (or (exists @t161 (and @t181 @t180 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t160 (and @t171 @t151)))))) % 34.04/34.76 (assume @p89 (forall @t132 (= (|tptp.'@<_fails'| @t110 @t109) (and (forall @t161 (or @t183 @t182 (|tptp.'@<_fails'| @t1 @t4))) (forall @t160 (or @t174 @t153)))))) % 34.04/34.76 (assume @p90 (forall @t132 (= (|tptp.'@<_terminates'| @t110 @t109) (and (forall @t161 (and true (or @t183 (and true (or @t182 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t160 (and true @t177)))))) % 34.04/34.76 (assume @p91 (forall @t166 (= @t186 (or (exists @t185 (and @t184 @t168)) @t171)))) % 34.04/34.76 (assume @p92 (forall @t166 (= (tptp.nat_fails @t110) (and (forall @t185 (or @t187 @t169)) @t174)))) % 34.04/34.76 (assume @p93 (forall @t166 (= (tptp.nat_terminates @t110) (and (forall @t185 (and true (or @t187 @t170))) true)))) % 34.04/34.76 (assume @p94 (forall @t190 (=> @t189 (tptp.nat_terminates @t188)))) % 34.04/34.76 (assume @p95 (forall @t190 (=> @t189 @t191))) % 34.04/34.76 (assume @p96 (forall @t195 (=> @t189 @t194))) % 34.04/34.76 (assume @p97 (forall @t195 (=> @t196 @t194))) % 34.04/34.76 (assume @p98 (forall @t195 (=> @t197 @t189))) % 34.04/34.76 (assume @p99 (forall @t195 (=> (and @t197 @t198) @t196))) % 34.04/34.76 (assume @p100 (forall @t195 (=> (and @t197 @t196) @t198))) % 34.04/34.76 (assume @p101 (forall @t195 (=> @t197 @t194))) % 34.04/34.76 (assume @p102 (forall @t195 (=> @t197 @t191))) % 34.04/34.76 (assume @p103 (forall @t195 (=> (and @t197 @t200) @t199))) % 34.04/34.76 (assume @p104 (forall @t195 (=> (and @t197 @t199) @t200))) % 34.04/34.76 (assume @p105 (forall @t202 (=> @t189 (exists @t201 @t197)))) % 34.04/34.76 (assume @p106 (forall @t206 (=> (and (tptp.plus_succeeds @t188 @t193 @t204) (tptp.plus_succeeds @t188 @t193 @t203)) @t205))) % 34.04/34.76 (assume @p107 (forall @t207 (= (|tptp.'@+'| |tptp.'0'| @t193) @t193))) % 34.04/34.76 (assume @p108 (forall @t202 (=> @t189 (= @t210 (tptp.s @t208))))) % 34.04/34.76 (assume @p109 (forall @t202 (=> @t211 (tptp.nat_succeeds @t208)))) % 34.04/34.76 (assume @p110 (forall @t195 (=> @t213 (= (|tptp.'@+'| @t208 @t192) (|tptp.'@+'| @t188 @t212))))) % 34.04/34.76 (assume @p111 (forall @t190 (=> @t189 (= (|tptp.'@+'| @t188 |tptp.'0'|) @t188)))) % 34.04/34.76 (assume @p112 (forall @t202 (=> @t211 (= @t215 @t210)))) % 34.04/34.76 (assume @p113 (forall @t202 (=> @t211 (= @t208 @t216)))) % 34.04/34.76 (assume @p114 (forall @t195 (=> (and @t189 (= @t208 @t217)) (= @t193 @t192)))) % 34.04/34.76 (assume @p115 (forall @t195 (=> @t218 @t189))) % 34.04/34.76 (assume @p116 (forall @t195 (=> (and @t218 @t198) @t196))) % 34.04/34.76 (assume @p117 (forall @t195 (=> @t218 @t191))) % 34.04/34.76 (assume @p118 (forall @t195 (=> (and @t218 @t200) @t199))) % 34.04/34.76 (assume @p119 (forall @t195 (=> @t211 (tptp.times_terminates @t188 @t193 @t192)))) % 34.04/34.76 (assume @p120 (forall @t202 (=> @t211 (exists @t201 @t218)))) % 34.04/34.76 (assume @p121 (forall @t206 (=> (and (tptp.times_succeeds @t188 @t193 @t204) (tptp.times_succeeds @t188 @t193 @t203)) @t205))) % 34.04/34.76 (assume @p122 (forall @t207 (=> @t198 (= (|tptp.'@*'| |tptp.'0'| @t193) |tptp.'0'|)))) % 34.04/34.76 (assume @p123 (forall @t202 (=> @t211 (= @t220 (|tptp.'@+'| @t193 @t219))))) % 34.04/34.76 (assume @p124 (forall @t202 (=> @t211 (tptp.nat_succeeds @t219)))) % 34.04/34.76 (assume @p125 (forall @t195 (=> @t213 (= (|tptp.'@*'| @t208 @t192) (|tptp.'@+'| @t222 @t221))))) % 34.04/34.76 (assume @p126 (forall @t195 (=> @t213 (= (|tptp.'@*'| @t219 @t192) (|tptp.'@*'| @t188 @t221))))) % 34.04/34.76 (assume @p127 (forall @t190 (=> @t189 (= (|tptp.'@*'| @t188 |tptp.'0'|) |tptp.'0'|)))) % 34.04/34.76 (assume @p128 (forall (@list @t193 @t188) (=> (and @t198 @t189) (= (|tptp.'@+'| @t223 @t193) (|tptp.'@*'| @t193 @t209))))) % 34.04/34.76 (assume @p129 (forall @t202 (=> @t211 (= @t219 @t223)))) % 34.04/34.76 (assume @p130 (forall @t190 (=> @t189 (= (|tptp.'@*'| @t224 @t188) @t188)))) % 34.04/34.76 (assume @p131 (forall @t190 (=> @t189 (= (|tptp.'@*'| @t188 @t224) @t188)))) % 34.04/34.76 (assume @p132 (forall @t195 (=> @t213 (= (|tptp.'@*'| @t192 @t208) (|tptp.'@+'| (|tptp.'@*'| @t192 @t188) (|tptp.'@*'| @t192 @t193)))))) % 34.04/34.76 (assume @p133 (forall @t202 (=> @t189 @t225))) % 34.04/34.76 (assume @p134 (forall @t202 (=> @t198 @t225))) % 34.04/34.76 (assume @p135 (forall @t202 (=> @t226 @t189))) % 34.04/34.76 (assume @p136 (forall @t202 (=> @t226 (exists @t201 (= @t193 @t227))))) % 34.04/34.76 (assume @p137 (forall @t195 (=> (and @t226 (|tptp.'@<_succeeds'| @t193 @t227)) @t228))) % 34.04/34.76 (assume @p138 (forall @t202 (=> @t226 @t229))) % 34.04/34.76 (assume @p139 (forall @t195 (=> (and @t226 @t230) @t228))) % 34.04/34.76 (assume @p140 (forall @t190 (=> @t189 (|tptp.'@<_fails'| @t188 @t188)))) % 34.04/34.76 (assume @p141 (forall @t190 (=> @t189 (not (|tptp.'@<_succeeds'| @t188 @t188))))) % 34.04/34.76 (assume @p142 (forall @t190 (=> @t189 (|tptp.'@<_succeeds'| @t188 @t209)))) % 34.04/34.76 (assume @p143 (forall @t202 (=> (and @t198 @t229) @t232))) % 34.04/34.76 (assume @p144 (forall @t202 (=> @t211 (or @t226 @t231 (|tptp.'@<_succeeds'| @t193 @t188))))) % 34.04/34.76 (assume @p145 (forall @t190 (=> (and @t189 @t233) (|tptp.'@<_succeeds'| |tptp.'0'| @t188)))) % 34.04/34.76 (assume @p146 (forall @t202 (=> @t189 (|tptp.'@=<_terminates'| @t188 @t193)))) % 34.04/34.76 (assume @p147 (forall @t202 (=> @t234 @t189))) % 34.04/34.76 (assume @p148 (forall @t202 (=> @t234 (exists @t201 (tptp.plus_succeeds @t188 @t192 @t193))))) % 34.04/34.76 (assume @p149 (forall @t202 (=> @t234 (exists @t201 (= @t217 @t193))))) % 34.04/34.76 (assume @p150 (forall @t202 (=> @t226 (exists @t201 (tptp.plus_succeeds @t188 @t227 @t193))))) % 34.04/34.76 (assume @p151 (forall @t202 (=> @t226 (exists @t201 (= (|tptp.'@+'| @t188 @t227) @t193))))) % 34.04/34.76 (assume @p152 (forall @t202 (=> @t226 @t234))) % 34.04/34.76 (assume @p153 (forall @t190 (=> @t189 (|tptp.'@=<_succeeds'| @t188 @t188)))) % 34.04/34.76 (assume @p154 (forall @t202 (=> @t211 (or @t234 @t235)))) % 34.04/34.76 (assume @p155 (forall @t202 (=> @t211 (or @t226 @t235)))) % 34.04/34.76 (assume @p156 (forall @t202 (=> (and @t189 @t198 (|tptp.'@=<_fails'| @t188 @t193)) @t235))) % 34.04/34.76 (assume @p157 (forall @t202 (=> (and @t234 @t198) @t232))) % 34.04/34.76 (assume @p158 (forall @t195 (=> (and @t234 @t230) @t228))) % 34.04/34.76 (assume @p159 (forall @t195 (=> (and @t226 @t236) @t228))) % 34.04/34.76 (assume @p160 (forall @t195 (=> (and @t234 @t236) (|tptp.'@=<_succeeds'| @t188 @t192)))) % 34.04/34.76 (assume @p161 (forall @t202 (=> (and @t234 @t235) @t231))) % 34.04/34.76 (assume @p162 (forall @t190 (=> @t189 (|tptp.'@=<_succeeds'| @t188 @t209)))) % 34.04/34.76 (assume @p163 (forall @t190 (=> @t189 (|tptp.'@=<_fails'| @t209 @t188)))) % 34.04/34.76 (assume @p164 (forall @t195 (=> (and @t189 @t230) @t237))) % 34.04/34.76 (assume @p165 (forall @t202 (=> @t189 (|tptp.'@<_succeeds'| @t188 @t215)))) % 34.04/34.76 (assume @p166 (forall @t195 (=> (and @t226 @t198 @t196) @t238))) % 34.04/34.76 (assume @p167 (forall @t202 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t193) @t189 @t198) (|tptp.'@<_succeeds'| @t188 @t216)))) % 34.04/34.76 (assume @p168 (forall @t195 (=> (and @t189 @t236) @t239))) % 34.04/34.76 (assume @p169 (forall @t195 (=> @t240 (|tptp.'@=<_succeeds'| @t217 @t212)))) % 34.04/34.76 (assume @p170 (forall @t202 (=> @t189 (|tptp.'@=<_succeeds'| @t188 @t208)))) % 34.04/34.76 (assume @p171 (forall @t202 (=> @t211 (|tptp.'@=<_succeeds'| @t193 @t208)))) % 34.04/34.76 (assume @p172 (forall @t195 (=> (and @t189 @t237) @t230))) % 34.04/34.76 (assume @p173 (forall @t195 (=> (and @t189 @t198 @t196 @t238) @t226))) % 34.04/34.76 (assume @p174 (forall @t195 (=> (and @t189 @t239) @t236))) % 34.04/34.76 (assume @p175 (forall @t248 (=> (and @t247 @t246 @t245) (|tptp.'@=<_succeeds'| @t244 @t243)))) % 34.04/34.76 (assume @p176 (forall @t248 (=> (and @t250 @t246 @t245) @t249))) % 34.04/34.76 (assume @p177 (forall @t248 (=> (and @t247 @t251 @t245) @t249))) % 34.04/34.76 (assume @p178 (forall @t248 (=> (and @t250 @t251 @t245) @t249))) % 34.04/34.76 (assume @p179 (forall @t195 (=> (and @t189 @t236 @t196) (|tptp.'@=<_succeeds'| @t219 @t222)))) % 34.04/34.76 (assume @p180 (forall @t195 (=> @t240 (|tptp.'@=<_succeeds'| @t222 @t221)))) % 34.04/34.76 (assume @p181 (forall @t195 (=> (and @t189 @t233 @t230 @t196) (|tptp.'@<_succeeds'| @t219 @t222)))) % 34.04/34.76 (assume @p182 (forall @t195 (=> (and @t189 @t198 @t196 (|tptp.'@=<_succeeds'| @t220 (|tptp.'@*'| @t209 @t192))) @t236))) % 34.04/34.76 (assume @p183 (forall (@list @t110 @t109 @t193) (=> (and @t186 @t168 @t198 (= (|tptp.'@+'| @t110 @t193) (|tptp.'@+'| @t109 @t193))) (= @t110 @t109)))) % 34.04/34.76 (assume @p184 (forall @t190 (tptp.list_succeeds (tptp.cons @t188 tptp.nil)))) % 34.04/34.76 (assume @p185 (forall @t202 (tptp.list_succeeds (tptp.cons @t188 (tptp.cons @t193 tptp.nil))))) % 34.04/34.76 (assume @p186 (forall @t195 (tptp.list_succeeds (tptp.cons @t188 (tptp.cons @t193 (tptp.cons @t192 tptp.nil)))))) % 34.04/34.76 (assume @p187 (forall @t255 (=> (tptp.list_succeeds @t254) @t253))) % 34.04/34.76 (assume @p188 (forall @t256 (=> @t253 (tptp.list_terminates @t252)))) % 34.04/34.76 (assume @p189 (forall @t255 (=> @t253 (tptp.member_terminates @t188 @t252)))) % 34.04/34.76 (assume @p190 (forall @t255 (=> @t253 (or @t257 (tptp.member_fails @t188 @t252))))) % 34.04/34.76 (assume @p191 (forall @t255 (=> (and @t257 @t258) @t191))) % 34.04/34.76 (assume @p192 (forall (@list @t188 @t193 @t192 @t252) (=> (and (tptp.member_succeeds @t188 @t260) @t259) @t257))) % 34.04/34.76 (assume @p193 (forall @t266 (=> @t265 @t262))) % 34.04/34.76 (assume @p194 (forall @t266 (=> (and @t265 @t268) @t267))) % 34.04/34.76 (assume @p195 (forall @t266 (=> @t269 @t268))) % 34.04/34.76 (assume @p196 (forall @t266 (=> @t269 @t270))) % 34.04/34.76 (assume @p197 (forall @t266 (=> @t262 @t271))) % 34.04/34.76 (assume @p198 (forall @t266 (=> @t267 @t271))) % 34.04/34.76 (assume @p199 (forall @t266 (=> (and @t265 @t274 @t273) @t272))) % 34.04/34.76 (assume @p200 (forall @t266 (=> (and @t265 @t272) @t275))) % 34.04/34.76 (assume @p201 (forall @t276 (=> @t262 (exists (@list @t263) @t265)))) % 34.04/34.76 (assume @p202 (forall @t278 (=> (and @t265 (tptp.append_succeeds @t261 @t264 @t277)) (= @t263 @t277)))) % 34.04/34.76 (assume @p203 (forall @t256 (= (|tptp.'**'| tptp.nil @t252) @t252))) % 34.04/34.76 (assume @p204 (forall @t281 (=> @t262 (= (|tptp.'**'| @t280 @t264) (tptp.cons @t188 @t279))))) % 34.04/34.76 (assume @p205 (forall @t276 (=> @t270 @t282))) % 34.04/34.76 (assume @p206 @t284) % 34.04/34.76 (assume @p207 (forall @t276 (=> (and @t262 @t274 @t273) @t285))) % 34.04/34.76 (assume @p208 (forall @t276 (=> (and @t262 @t285) @t275))) % 34.04/34.76 (assume @p209 (forall @t266 (=> @t270 (= (|tptp.'**'| @t279 @t263) (|tptp.'**'| @t261 @t286))))) % 34.04/34.76 (assume @p210 (forall @t256 (=> @t253 (= (|tptp.'**'| @t252 tptp.nil) @t252)))) % 34.04/34.76 (assume @p211 (forall @t291 (=> @t290 @t289))) % 34.04/34.76 (assume @p212 (forall @t291 (=> @t253 (tptp.length_terminates @t252 @t287)))) % 34.04/34.76 (assume @p213 (forall @t291 (=> @t290 @t292))) % 34.04/34.76 (assume @p214 (forall @t256 (=> @t253 (exists @t293 @t290)))) % 34.04/34.76 (assume @p215 (forall (@list @t252 @t294 @t287) (=> (and (tptp.length_succeeds @t252 @t294) @t290) @t295))) % 34.04/34.76 (assume @p216 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 34.04/34.76 (assume @p217 (forall @t255 (=> @t253 (= @t297 (tptp.s @t296))))) % 34.04/34.76 (assume @p218 (forall @t256 (=> @t253 (tptp.nat_succeeds @t296)))) % 34.04/34.76 (assume @p219 (forall @t256 (=> (and @t253 (= @t296 |tptp.'0'|)) (= @t252 tptp.nil)))) % 34.04/34.76 (assume @p220 (forall (@list @t287 @t261) (=> (and @t262 (= @t300 @t299)) (exists (@list @t188 @t264) (= @t261 @t298))))) % 34.04/34.76 (assume @p221 (forall @t276 (=> @t270 (= @t303 @t302)))) % 34.04/34.76 (assume @p222 (forall @t276 (=> @t270 (|tptp.'@=<_succeeds'| @t300 @t303)))) % 34.04/34.76 (assume @p223 (forall @t276 (=> @t270 (|tptp.'@=<_succeeds'| @t301 @t303)))) % 34.04/34.76 (assume @p224 (forall @t255 (=> @t253 (|tptp.'@=<_succeeds'| @t296 @t297)))) % 34.04/34.76 (assume @p225 (forall @t266 (=> @t269 (= @t302 @t304)))) % 34.04/34.76 (assume @p226 (forall @t266 (=> @t269 (|tptp.'@=<_succeeds'| @t300 @t304)))) % 34.04/34.76 (assume @p227 (forall @t266 (=> @t269 (|tptp.'@=<_succeeds'| @t301 @t304)))) % 34.04/34.76 (assume @p228 (forall (@list @t188 @t305) (tptp.sub @t305 @t306))) % 34.04/34.76 (assume @p229 (forall @t256 (tptp.sub @t252 @t252))) % 34.04/34.76 (assume @p230 (forall (@list @t305 @t308 @t307) (=> (and @t309 (tptp.sub @t308 @t307)) (tptp.sub @t305 @t307)))) % 34.04/34.76 (assume @p231 (forall @t256 (tptp.sub tptp.nil @t252))) % 34.04/34.76 (assume @p232 (forall @t310 (=> (and @t309 (tptp.member_succeeds @t188 @t308)) (tptp.sub @t306 @t308)))) % 34.04/34.76 (assume @p233 (forall @t310 (=> @t309 (tptp.sub @t306 (tptp.cons @t188 @t308))))) % 34.04/34.76 (assume @p234 (forall (@list @t188 @t263) (=> @t312 (exists @t276 @t311)))) % 34.04/34.76 (assume @p235 (forall @t314 (=> (and @t265 @t313) @t312))) % 34.04/34.76 (assume @p236 (forall @t314 (=> (and @t265 @t315) @t312))) % 34.04/34.76 (assume @p237 (forall @t281 (=> (and @t313 @t262) @t316))) % 34.04/34.76 (assume @p238 (forall @t281 (=> (and @t315 @t262) @t316))) % 34.04/34.76 (assume @p239 (forall @t314 (=> @t311 @t312))) % 34.04/34.76 (assume @p240 (forall @t314 (=> (and @t265 @t312) @t317))) % 34.04/34.76 (assume @p241 (forall @t281 (=> (and @t262 @t316) @t317))) % 34.04/34.76 (assume @p242 (forall @t276 (=> @t262 (tptp.sub @t261 @t279)))) % 34.04/34.76 (assume @p243 (forall @t276 (=> @t262 (tptp.sub @t264 @t279)))) % 34.04/34.76 (assume @p244 (forall @t314 (=> @t269 (not (= @t264 (tptp.cons @t188 @t263)))))) % 34.04/34.76 (assume @p245 (forall @t276 (=> (and (tptp.append_succeeds @t261 @t264 @t264) @t268) @t318))) % 34.04/34.76 (assume @p246 (forall @t278 (=> (and @t265 (tptp.append_succeeds @t277 @t264 @t263) @t267) (= @t261 @t277)))) % 34.04/34.76 (assume @p247 (forall @t266 (=> (and @t262 @t268 @t267 (= (|tptp.'**'| @t261 @t263) @t286)) (= @t261 @t264)))) % 34.04/34.76 (assume @p248 (forall @t278 (=> (and @t265 (tptp.append_succeeds @t261 @t277 @t263)) (= @t264 @t277)))) % 34.04/34.76 (assume @p249 (forall @t256 (=> @t319 @t253))) % 34.04/34.76 (assume @p250 (forall @t256 (=> @t319 (tptp.nat_list_terminates @t252)))) % 34.04/34.76 (assume @p251 (forall @t190 (=> (tptp.nat_list_succeeds @t188) @t191))) % 34.04/34.76 (assume @p252 (forall (@list @t188 @t261 @t264 @t287) (=> (and @t262 @t268 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t280) @t301) @t299)) @t320))) % 34.04/34.76 (assume @p253 (forall (@list @t261 @t193 @t264 @t287) (=> (and @t262 @t268 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t300 (tptp.lh (tptp.cons @t193 @t264))) @t299)) @t320))) % 34.04/34.76 (assume @p254 (forall @t281 (=> @t262 @t321))) % 34.04/34.76 (assume @p255 (forall @t281 (=> @t268 @t321))) % 34.04/34.76 (assume @p256 @t324) % 34.04/34.76 (assume @p257 (forall @t281 (=> (and @t322 @t268) @t262))) % 34.04/34.76 (assume @p258 (forall @t281 (=> @t323 (= @t300 (tptp.s @t301))))) % 34.04/34.76 (assume @p259 (forall @t281 (=> @t262 (tptp.delete_succeeds @t188 (|tptp.'**'| @t261 @t298) @t279)))) % 34.04/34.76 (assume @p260 @t332) % 34.04/34.76 (assume @p261 (forall @t281 (=> (and @t322 (tptp.nat_list_succeeds @t261)) (and @t189 (tptp.nat_list_succeeds @t264))))) % 34.04/34.76 (assume @p262 (forall @t281 (=> (and @t322 @t274) (and @t191 @t273)))) % 34.04/34.76 (assume @p263 (forall @t335 (=> (and @t322 @t334) (or @t333 (= @t193 @t188))))) % 34.04/34.76 (assume @p264 (forall @t281 (=> @t322 @t313))) % 34.04/34.76 (assume @p265 (forall @t335 (=> (and @t322 @t333) @t334))) % 34.04/34.76 (assume @p266 (forall (@list @t188 @t261) (=> @t313 (exists (@list @t264) @t322)))) % 34.04/34.76 (assume @p267 (forall @t335 (=> (and @t322 @t334 @t259) @t333))) % 34.04/34.76 (assume @p268 (forall @t195 (=> @t189 (= (= @t208 @t192) @t197)))) % 34.04/34.76 (assume @p269 (forall @t195 (=> @t211 (= (= @t219 @t192) @t218)))) % 34.04/34.76 (assume @p270 (forall @t266 (=> @t262 (= (= @t279 @t263) @t265)))) % 34.04/34.76 (assume @p271 (forall @t291 (=> @t253 (= (= @t296 @t287) @t290)))) % 34.04/34.76 (assume @p272 (forall @t276 (= (tptp.sub @t261 @t264) (forall @t190 (=> @t313 @t315))))) % 34.04/34.76 (assume @p273 (forall (@list @t188 @t252 @t294) (=> @t253 (= (= @t337 @t294) @t336)))) % 34.04/34.76 (assume @p274 (forall @t276 (=> (tptp.permutation_succeeds @t261 @t264) @t270))) % 34.04/34.76 (assume @p275 (forall (@list @t287 @t261 @t264) (=> (and @t288 @t262 (= @t300 @t287)) @t338))) % 34.04/34.76 (assume @p276 (forall @t276 (=> @t262 @t338))) % 34.04/34.76 (assume @p277 (forall @t281 (=> @t270 (tptp.member2_terminates @t188 @t261 @t264)))) % 34.04/34.76 (assume @p278 (forall @t339 (=> (and @t253 @t258 @t191) (tptp.occ_terminates @t188 @t252 @t287)))) % 34.04/34.76 (assume @p279 (forall @t281 (=> (and (tptp.member2_succeeds @t188 @t261 @t264) @t274 @t273) @t191))) % 34.04/34.76 (assume @p280 (forall @t339 (=> @t340 @t292))) % 34.04/34.76 (assume @p281 (forall @t276 (=> @t341 (tptp.not_same_occ_terminates @t261 @t264)))) % 34.04/34.76 (assume @p282 (forall @t276 (=> @t341 (tptp.same_occ_terminates @t261 @t264)))) % 34.04/34.76 (assume @p283 (forall @t339 (=> @t340 @t289))) % 34.04/34.76 (assume @p284 (forall @t255 (=> @t253 (exists @t293 @t340)))) % 34.04/34.76 (assume @p285 (forall (@list @t188 @t252 @t294 @t287) (=> (and @t336 @t340) @t295))) % 34.04/34.76 (assume @p286 (forall @t190 (= (tptp.occ @t188 tptp.nil) |tptp.'0'|))) % 34.04/34.76 (assume @p287 @t346) % 34.04/34.76 (assume @p288 (forall @t255 (=> @t253 (= (tptp.occ @t188 @t254) (tptp.s @t337))))) % 34.04/34.76 (assume @p289 (forall @t255 (=> @t253 (tptp.nat_succeeds @t337)))) % 34.04/34.76 (assume @p290 @t348) % 34.04/34.76 (assume @p291 (=> (forall @t354 (=> (or (exists @t165 (and (= @t261 @t163) @t162 (forall @t352 (=> (and @t259 (tptp.delete_succeeds @t188 @t1 @t264)) (= (tptp.occ @t193 @t1) @t349))))) @t318) @t353)) (forall @t354 (=> @t262 @t353)))) % 34.04/34.76 (assume @p292 @t358) % 34.04/34.76 (assume @p293 true) % 34.04/34.76 (step @p294 :rule aci_norm :args ((= (or (or @t361 @t360 @t231) @t359) @t362))) % 34.04/34.76 (step @p295 :rule refl :args (@t359)) % 34.04/34.76 (step @p296 :rule bool-double-not-elim :args (@t231)) % 34.04/34.76 (step @p297 :rule refl :args (@t360)) % 34.04/34.76 (step @p298 :rule refl :args (@t361)) % 34.04/34.76 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296) :args (@t364)) % 34.04/34.76 (step @p300 :rule aci_norm :args ((= (or @t361 (or @t360 @t363)) @t364))) % 34.04/34.76 (step @p301 :rule trans :premises (@p300 @p299)) % 34.04/34.76 (step @p302 :rule bool-and-de-morgan :args (@t322 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(step @p472 :rule chain_m_resolution :premises (@p471 @p441 @p380 @p469) :args (@t441 @t434 (@list @t388 @t385 @t442))) % 34.04/34.76 (step @p473 :rule true_intro :premises (@p472)) % 34.04/34.76 (step @p474 :rule symm :premises (@p415)) % 34.04/34.76 (step @p475 :rule cong :premises (@p474) :args (@t443)) % 34.04/34.76 (step @p476 :rule trans :premises (@p475 @p473)) % 34.04/34.76 (step @p477 :rule true_elim :premises (@p476)) % 34.04/34.76 (step @p478 :rule cnf_or_pos :args (@t446)) % 34.04/34.76 (step @p479 :rule reordering :premises (@p478) :args ((or @t421 @t444 @t445 (not @t446)))) % 34.04/34.76 (step @p480 :rule chain_m_resolution :premises (@p479 @p452 @p477 @p460) :args (@t444 @t434 (@list @t420 @t443 @t446))) % 34.04/34.76 (step @p481 :rule cnf_or_pos :args (@t451)) % 34.04/34.76 (step @p482 :rule reordering :premises (@p481) :args ((or @t421 @t450 @t449 (not @t451)))) % 34.04/34.76 (step @p483 :rule chain_m_resolution :premises (@p482 @p452 @p480 @p459) :args (@t449 @t434 (@list @t420 @t444 @t451))) % 34.04/34.76 (step @p484 :rule aci_norm :args ((= (or (or @t453 @t231) @t452) @t454))) % 34.04/34.76 (step @p485 :rule refl :args (@t452)) % 34.04/34.76 (step @p486 :rule refl :args (@t453)) % 34.04/34.76 (step @p487 :rule nary_cong :premises (@p486 @p296) :args ((or @t453 @t363))) % 34.04/34.76 (step @p488 :rule bool-and-de-morgan :args (@t253 @t259 true)) % 34.04/34.76 (step @p489 :rule trans :premises (@p488 @p487)) % 34.04/34.76 (step @p490 :rule nary_cong :premises (@p489 @p485) :args ((or (not @t343) @t452))) % 34.04/34.76 (step @p491 :rule trans :premises (@p490 @p484)) % 34.04/34.76 (step @p492 :rule bool-impl-elim :args (@t343 @t452)) % 34.04/34.76 (step @p493 :rule trans :premises (@p492 @p491)) % 34.04/34.76 (step @p494 :rule cong :premises (@p493) :args ((forall @t345 (=> @t343 @t452)))) % 34.04/34.76 (step @p495 :rule eq-symm :args (@t342 @t337)) % 34.04/34.76 (step @p496 :rule refl :args (@t343)) % 34.04/34.76 (step @p497 :rule cong :premises (@p496 @p495) :args (@t344)) % 34.04/34.76 (step @p498 :rule cong :premises (@p497) :args (@t346)) % 34.04/34.76 (step @p499 :rule trans :premises (@p498 @p494)) % 34.04/34.76 (step @p500 :rule eq_resolve :premises (@p287 @p499)) % 34.04/34.76 (step @p501 :rule eq-symm :args (@t447 @t435)) % 34.04/34.76 (step @p502 :rule eq-symm :args (@t380 @t384)) % 34.04/34.76 (step @p503 :rule refl :args (@t450)) % 34.04/34.76 (step @p504 :rule nary_cong :premises (@p503 @p502 @p501) :args (@t455)) % 34.04/34.76 (step @p505 :rule refl :args (@t456)) % 34.04/34.76 (step @p506 :rule cong :premises (@p505 @p504) :args ((=> @t456 @t455))) % 34.04/34.76 (assume-push @p547 @t456) % 34.04/34.76 (step @p508 :rule instantiate :premises (@p500) :args ((@list @t380 @t384 @t411))) % 34.04/34.76 (step-pop @p548 :rule scope :premises (@p508)) % 34.04/34.76 (step @p509 :rule process_scope :premises (@p548) :args (@t455)) % 34.04/34.76 (step @p511 :rule eq_resolve :premises (@p509 @p506)) % 34.04/34.76 (step @p512 :rule implies_elim :premises (@p511)) % 34.04/34.76 (step @p513 :rule chain_m_resolution :premises (@p512 @p500) :args (@t458 @t410 (@list @t456))) % 34.04/34.76 (step @p514 :rule cnf_or_neg :args (@t390 1)) % 34.04/34.76 (step @p515 :rule chain_m_resolution :premises (@p514 @p335) :args ((not @t387) @t378 @t391)) % 34.04/34.76 (step @p516 :rule cnf_or_pos :args (@t458)) % 34.04/34.76 (step @p517 :rule reordering :premises (@p516) :args ((or @t387 @t450 @t457 (not @t458)))) % 34.04/34.76 (step @p518 :rule chain_m_resolution :premises (@p517 @p515 @p480 @p513) :args (@t457 (@list true false false) (@list @t387 @t444 @t458))) % 34.04/34.76 (assume-push @p549 @t418) % 34.04/34.76 (assume-push @p550 @t414) % 34.04/34.76 (assume-push @p551 @t438) % 34.04/34.76 (assume-push @p552 @t449) % 34.04/34.76 (assume-push @p553 @t457) % 34.04/34.76 (step @p524 :rule refl :args (@t380)) % 34.04/34.76 (step @p525 :rule cong :premises (@p524 @p443) :args (@t437)) % 34.04/34.76 (step @p526 :rule symm :premises (@p458)) % 34.04/34.76 (step @p527 :rule symm :premises (@p518)) % 34.04/34.76 (step @p528 :rule refl :args (@t436)) % 34.04/34.76 (step @p529 :rule cong :premises (@p528 @p527) :args (@t448)) % 34.04/34.76 (step @p530 :rule cong :premises (@p524 @p415) :args (@t382)) % 34.04/34.76 (step @p531 :rule trans :premises (@p530 @p483 @p529 @p526 @p525)) % 34.04/34.76 (step-pop @p554 :rule scope :premises (@p531)) % 34.04/34.76 (step-pop @p555 :rule scope :premises (@p554)) % 34.04/34.76 (step-pop @p556 :rule scope :premises (@p555)) % 34.04/34.76 (step-pop @p557 :rule scope :premises (@p556)) % 34.04/34.76 (step-pop @p558 :rule scope :premises (@p557)) % 34.04/34.76 (step @p532 :rule process_scope :premises (@p558) :args (@t383)) % 34.04/34.76 (step @p538 :rule implies_elim :premises (@p532)) % 34.04/34.76 (step @p539 :rule cnf_and_neg :args (@t459)) % 34.04/34.76 (step @p540 :rule resolution :premises (@p539 @p538) :args (true @t459)) % 34.04/34.76 (step @p541 :rule reordering :premises (@p540) :args ((or @t383 @t419 @t415 (not @t438) (not @t449) (not @t457)))) % 34.04/34.76 (step @p542 false :rule chain_m_resolution :premises (@p541 @p518 @p483 @p458 @p415 @p409 @p337) :args (false (@list false false false false false true) (@list @t457 @t449 @t438 @t414 @t418 @t383))) % 34.04/34.76 ) % 34.04/34.76 % SZS output end Proof % 34.04/34.76 % cvc5 exiting %------------------------------------------------------------------------------