%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX027+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 : n008.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 09:07:00 AM UTC 2026 % Result : Theorem 1.01s 1.24s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWX027+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n008.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 22:54:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.55 %----Proving TF0_NAR, FOF, or CNF % 1.01/1.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.01/1.24 % SZS status Theorem % 1.01/1.24 % SZS output start Proof % 1.01/1.24 ( % 1.01/1.24 (declare-sort $$unsorted 0) % 1.01/1.24 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.24 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 1.01/1.24 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.24 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.24 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.gr (-> $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 1.01/1.24 (declare-const |tptp.'0'| $$unsorted) % 1.01/1.24 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.nil $$unsorted) % 1.01/1.24 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 1.01/1.24 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.24 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.24 (define @t1 () (@var "Xx3" $$unsorted)) % 1.01/1.24 (define @t2 () (tptp.s @t1)) % 1.01/1.24 (define @t3 () (@var "Xx5" $$unsorted)) % 1.01/1.24 (define @t4 () (@var "Xx4" $$unsorted)) % 1.01/1.24 (define @t5 () (tptp.cons @t4 @t3)) % 1.01/1.24 (define @t6 () (@list @t4 @t3)) % 1.01/1.24 (define @t7 () (@var "Xx6" $$unsorted)) % 1.01/1.24 (define @t8 () (@var "Xx8" $$unsorted)) % 1.01/1.24 (define @t9 () (@var "Xx7" $$unsorted)) % 1.01/1.24 (define @t10 () (@var "Xx10" $$unsorted)) % 1.01/1.24 (define @t11 () (@var "Xx9" $$unsorted)) % 1.01/1.24 (define @t12 () (@var "Xx13" $$unsorted)) % 1.01/1.24 (define @t13 () (@var "Xx12" $$unsorted)) % 1.01/1.24 (define @t14 () (@var "Xx11" $$unsorted)) % 1.01/1.24 (define @t15 () (@var "Xx17" $$unsorted)) % 1.01/1.24 (define @t16 () (@var "Xx15" $$unsorted)) % 1.01/1.24 (define @t17 () (@var "Xx16" $$unsorted)) % 1.01/1.24 (define @t18 () (@var "Xx14" $$unsorted)) % 1.01/1.24 (define @t19 () (@var "Xx20" $$unsorted)) % 1.01/1.24 (define @t20 () (@var "Xx18" $$unsorted)) % 1.01/1.24 (define @t21 () (@var "Xx21" $$unsorted)) % 1.01/1.24 (define @t22 () (@var "Xx19" $$unsorted)) % 1.01/1.24 (define @t23 () (@var "Xx22" $$unsorted)) % 1.01/1.24 (define @t24 () (@var "Xx24" $$unsorted)) % 1.01/1.24 (define @t25 () (@var "Xx23" $$unsorted)) % 1.01/1.24 (define @t26 () (@var "Xx27" $$unsorted)) % 1.01/1.24 (define @t27 () (@var "Xx26" $$unsorted)) % 1.01/1.24 (define @t28 () (@var "Xx25" $$unsorted)) % 1.01/1.24 (define @t29 () (tptp.delete_fails @t28 @t27 @t26)) % 1.01/1.24 (define @t30 () (tptp.delete_succeeds @t28 @t27 @t26)) % 1.01/1.24 (define @t31 () (@list @t28 @t27 @t26)) % 1.01/1.24 (define @t32 () (@var "Xx29" $$unsorted)) % 1.01/1.24 (define @t33 () (@var "Xx28" $$unsorted)) % 1.01/1.24 (define @t34 () (tptp.length_fails @t33 @t32)) % 1.01/1.24 (define @t35 () (tptp.length_succeeds @t33 @t32)) % 1.01/1.24 (define @t36 () (@list @t33 @t32)) % 1.01/1.24 (define @t37 () (@var "Xx32" $$unsorted)) % 1.01/1.24 (define @t38 () (@var "Xx31" $$unsorted)) % 1.01/1.24 (define @t39 () (@var "Xx30" $$unsorted)) % 1.01/1.24 (define @t40 () (tptp.append_fails @t39 @t38 @t37)) % 1.01/1.24 (define @t41 () (tptp.append_succeeds @t39 @t38 @t37)) % 1.01/1.24 (define @t42 () (@list @t39 @t38 @t37)) % 1.01/1.24 (define @t43 () (@var "Xx34" $$unsorted)) % 1.01/1.24 (define @t44 () (@var "Xx33" $$unsorted)) % 1.01/1.24 (define @t45 () (tptp.member_fails @t44 @t43)) % 1.01/1.24 (define @t46 () (tptp.member_succeeds @t44 @t43)) % 1.01/1.24 (define @t47 () (@list @t44 @t43)) % 1.01/1.24 (define @t48 () (@var "Xx35" $$unsorted)) % 1.01/1.24 (define @t49 () (tptp.list_fails @t48)) % 1.01/1.24 (define @t50 () (tptp.list_succeeds @t48)) % 1.01/1.24 (define @t51 () (@list @t48)) % 1.01/1.24 (define @t52 () (@var "Xx36" $$unsorted)) % 1.01/1.24 (define @t53 () (tptp.nat_list_fails @t52)) % 1.01/1.24 (define @t54 () (tptp.nat_list_succeeds @t52)) % 1.01/1.24 (define @t55 () (@list @t52)) % 1.01/1.24 (define @t56 () (@var "Xx39" $$unsorted)) % 1.01/1.24 (define @t57 () (@var "Xx38" $$unsorted)) % 1.01/1.24 (define @t58 () (@var "Xx37" $$unsorted)) % 1.01/1.24 (define @t59 () (tptp.times_fails @t58 @t57 @t56)) % 1.01/1.24 (define @t60 () (tptp.times_succeeds @t58 @t57 @t56)) % 1.01/1.24 (define @t61 () (@list @t58 @t57 @t56)) % 1.01/1.24 (define @t62 () (@var "Xx42" $$unsorted)) % 1.01/1.24 (define @t63 () (@var "Xx41" $$unsorted)) % 1.01/1.24 (define @t64 () (@var "Xx40" $$unsorted)) % 1.01/1.24 (define @t65 () (tptp.plus_fails @t64 @t63 @t62)) % 1.01/1.24 (define @t66 () (tptp.plus_succeeds @t64 @t63 @t62)) % 1.01/1.24 (define @t67 () (@list @t64 @t63 @t62)) % 1.01/1.24 (define @t68 () (@var "Xx44" $$unsorted)) % 1.01/1.24 (define @t69 () (@var "Xx43" $$unsorted)) % 1.01/1.24 (define @t70 () (|tptp.'@=<_fails'| @t69 @t68)) % 1.01/1.24 (define @t71 () (|tptp.'@=<_succeeds'| @t69 @t68)) % 1.01/1.24 (define @t72 () (@list @t69 @t68)) % 1.01/1.24 (define @t73 () (@var "Xx46" $$unsorted)) % 1.01/1.24 (define @t74 () (@var "Xx45" $$unsorted)) % 1.01/1.24 (define @t75 () (|tptp.'@<_fails'| @t74 @t73)) % 1.01/1.24 (define @t76 () (|tptp.'@<_succeeds'| @t74 @t73)) % 1.01/1.24 (define @t77 () (@list @t74 @t73)) % 1.01/1.24 (define @t78 () (@var "Xx47" $$unsorted)) % 1.01/1.24 (define @t79 () (tptp.nat_fails @t78)) % 1.01/1.24 (define @t80 () (tptp.nat_succeeds @t78)) % 1.01/1.24 (define @t81 () (@list @t78)) % 1.01/1.24 (define @t82 () (@var "Xx1" $$unsorted)) % 1.01/1.24 (define @t83 () (@var "Xx2" $$unsorted)) % 1.01/1.24 (define @t84 () (= @t83 (tptp.cons @t82 @t1))) % 1.01/1.24 (define @t85 () (tptp.delete_succeeds @t82 @t3 @t7)) % 1.01/1.24 (define @t86 () (tptp.cons @t4 @t7)) % 1.01/1.24 (define @t87 () (= @t1 @t86)) % 1.01/1.24 (define @t88 () (= @t83 @t5)) % 1.01/1.24 (define @t89 () (and @t88 @t87 @t85)) % 1.01/1.24 (define @t90 () (@list @t4 @t3 @t7)) % 1.01/1.24 (define @t91 () (exists @t90 @t89)) % 1.01/1.24 (define @t92 () (or @t91 @t84)) % 1.01/1.24 (define @t93 () (tptp.delete_succeeds @t82 @t83 @t1)) % 1.01/1.24 (define @t94 () (= @t93 @t92)) % 1.01/1.24 (define @t95 () (@list @t82 @t83 @t1)) % 1.01/1.24 (define @t96 () (forall @t95 @t94)) % 1.01/1.24 (define @t97 () (not @t87)) % 1.01/1.24 (define @t98 () (not @t88)) % 1.01/1.24 (define @t99 () (= @t83 |tptp.'0'|)) % 1.01/1.24 (define @t100 () (= @t82 tptp.nil)) % 1.01/1.24 (define @t101 () (tptp.s @t3)) % 1.01/1.24 (define @t102 () (= @t83 @t101)) % 1.01/1.24 (define @t103 () (tptp.cons @t1 @t4)) % 1.01/1.24 (define @t104 () (= @t82 @t103)) % 1.01/1.24 (define @t105 () (@list @t1 @t4 @t3)) % 1.01/1.24 (define @t106 () (@list @t82 @t83)) % 1.01/1.24 (define @t107 () (not @t100)) % 1.01/1.24 (define @t108 () (not @t102)) % 1.01/1.24 (define @t109 () (not @t104)) % 1.01/1.24 (define @t110 () (or @t107 true)) % 1.01/1.24 (define @t111 () (= @t1 @t83)) % 1.01/1.24 (define @t112 () (= @t82 @t5)) % 1.01/1.24 (define @t113 () (not @t111)) % 1.01/1.24 (define @t114 () (not @t112)) % 1.01/1.24 (define @t115 () (= @t83 (tptp.cons @t82 @t3))) % 1.01/1.24 (define @t116 () (@list @t3)) % 1.01/1.24 (define @t117 () (= @t83 @t103)) % 1.01/1.24 (define @t118 () (@list @t1 @t4)) % 1.01/1.24 (define @t119 () (not @t117)) % 1.01/1.24 (define @t120 () (tptp.list_succeeds @t1)) % 1.01/1.24 (define @t121 () (tptp.cons @t83 @t1)) % 1.01/1.24 (define @t122 () (= @t82 @t121)) % 1.01/1.24 (define @t123 () (@list @t83 @t1)) % 1.01/1.24 (define @t124 () (@list @t82)) % 1.01/1.24 (define @t125 () (not @t122)) % 1.01/1.24 (define @t126 () (tptp.nat_succeeds @t83)) % 1.01/1.24 (define @t127 () (tptp.nat_fails @t83)) % 1.01/1.24 (define @t128 () (tptp.nat_terminates @t83)) % 1.01/1.24 (define @t129 () (= @t1 |tptp.'0'|)) % 1.01/1.24 (define @t130 () (= @t82 |tptp.'0'|)) % 1.01/1.24 (define @t131 () (tptp.s @t4)) % 1.01/1.24 (define @t132 () (= @t82 @t131)) % 1.01/1.24 (define @t133 () (not @t130)) % 1.01/1.24 (define @t134 () (tptp.times_fails @t4 @t83 @t3)) % 1.01/1.24 (define @t135 () (not @t132)) % 1.01/1.24 (define @t136 () (or @t133 true)) % 1.01/1.24 (define @t137 () (= @t1 @t101)) % 1.01/1.24 (define @t138 () (not @t137)) % 1.01/1.24 (define @t139 () (= @t83 @t131)) % 1.01/1.24 (define @t140 () (= @t82 @t2)) % 1.01/1.24 (define @t141 () (not @t139)) % 1.01/1.24 (define @t142 () (not @t140)) % 1.01/1.24 (define @t143 () (= @t82 (tptp.s @t83))) % 1.01/1.24 (define @t144 () (@list @t83)) % 1.01/1.24 (define @t145 () (tptp.nat_succeeds @t82)) % 1.01/1.24 (define @t146 () (not @t143)) % 1.01/1.24 (define @t147 () (@var "Xx" $$unsorted)) % 1.01/1.24 (define @t148 () (tptp.nat_succeeds @t147)) % 1.01/1.24 (define @t149 () (@list @t147)) % 1.01/1.24 (define @t150 () (tptp.gr @t147)) % 1.01/1.24 (define @t151 () (@var "Xz" $$unsorted)) % 1.01/1.24 (define @t152 () (@var "Xy" $$unsorted)) % 1.01/1.24 (define @t153 () (tptp.plus_terminates @t147 @t152 @t151)) % 1.01/1.24 (define @t154 () (@list @t147 @t152 @t151)) % 1.01/1.24 (define @t155 () (tptp.nat_succeeds @t151)) % 1.01/1.24 (define @t156 () (tptp.plus_succeeds @t147 @t152 @t151)) % 1.01/1.24 (define @t157 () (tptp.nat_succeeds @t152)) % 1.01/1.24 (define @t158 () (tptp.gr @t151)) % 1.01/1.24 (define @t159 () (tptp.gr @t152)) % 1.01/1.24 (define @t160 () (@list @t151)) % 1.01/1.24 (define @t161 () (@list @t147 @t152)) % 1.01/1.24 (define @t162 () (@var "Xz2" $$unsorted)) % 1.01/1.24 (define @t163 () (@var "Xz1" $$unsorted)) % 1.01/1.24 (define @t164 () (= @t163 @t162)) % 1.01/1.24 (define @t165 () (@list @t147 @t152 @t163 @t162)) % 1.01/1.24 (define @t166 () (@list @t152)) % 1.01/1.24 (define @t167 () (|tptp.'@+'| @t147 @t152)) % 1.01/1.24 (define @t168 () (tptp.s @t147)) % 1.01/1.24 (define @t169 () (|tptp.'@+'| @t168 @t152)) % 1.01/1.24 (define @t170 () (and @t148 @t157)) % 1.01/1.24 (define @t171 () (|tptp.'@+'| @t152 @t151)) % 1.01/1.24 (define @t172 () (and @t148 @t157 @t155)) % 1.01/1.24 (define @t173 () (tptp.s @t152)) % 1.01/1.24 (define @t174 () (|tptp.'@+'| @t147 @t173)) % 1.01/1.24 (define @t175 () (|tptp.'@+'| @t152 @t147)) % 1.01/1.24 (define @t176 () (|tptp.'@+'| @t147 @t151)) % 1.01/1.24 (define @t177 () (tptp.times_succeeds @t147 @t152 @t151)) % 1.01/1.24 (define @t178 () (|tptp.'@*'| @t147 @t152)) % 1.01/1.24 (define @t179 () (|tptp.'@*'| @t168 @t152)) % 1.01/1.24 (define @t180 () (|tptp.'@*'| @t152 @t151)) % 1.01/1.24 (define @t181 () (|tptp.'@*'| @t147 @t151)) % 1.01/1.24 (define @t182 () (|tptp.'@*'| @t152 @t147)) % 1.01/1.24 (define @t183 () (tptp.s |tptp.'0'|)) % 1.01/1.24 (define @t184 () (|tptp.'@<_terminates'| @t147 @t152)) % 1.01/1.24 (define @t185 () (|tptp.'@<_succeeds'| @t147 @t152)) % 1.01/1.24 (define @t186 () (tptp.s @t151)) % 1.01/1.24 (define @t187 () (|tptp.'@<_succeeds'| @t147 @t151)) % 1.01/1.24 (define @t188 () (|tptp.'@<_succeeds'| @t147 @t173)) % 1.01/1.24 (define @t189 () (|tptp.'@<_succeeds'| @t152 @t151)) % 1.01/1.24 (define @t190 () (= @t147 @t152)) % 1.01/1.24 (define @t191 () (or @t185 @t190)) % 1.01/1.24 (define @t192 () (not (= @t147 |tptp.'0'|))) % 1.01/1.24 (define @t193 () (|tptp.'@=<_succeeds'| @t147 @t152)) % 1.01/1.24 (define @t194 () (|tptp.'@=<_succeeds'| @t152 @t147)) % 1.01/1.24 (define @t195 () (|tptp.'@=<_succeeds'| @t152 @t151)) % 1.01/1.24 (define @t196 () (|tptp.'@<_succeeds'| @t167 @t176)) % 1.01/1.24 (define @t197 () (|tptp.'@<_succeeds'| @t176 @t171)) % 1.01/1.24 (define @t198 () (|tptp.'@=<_succeeds'| @t167 @t176)) % 1.01/1.24 (define @t199 () (and @t193 @t157 @t155)) % 1.01/1.24 (define @t200 () (@var "Xy2" $$unsorted)) % 1.01/1.24 (define @t201 () (@var "Xy1" $$unsorted)) % 1.01/1.24 (define @t202 () (|tptp.'@+'| @t201 @t200)) % 1.01/1.24 (define @t203 () (|tptp.'@+'| @t82 @t83)) % 1.01/1.24 (define @t204 () (tptp.nat_succeeds @t201)) % 1.01/1.24 (define @t205 () (|tptp.'@=<_succeeds'| @t83 @t200)) % 1.01/1.24 (define @t206 () (|tptp.'@=<_succeeds'| @t82 @t201)) % 1.01/1.24 (define @t207 () (@list @t82 @t83 @t201 @t200)) % 1.01/1.24 (define @t208 () (|tptp.'@<_succeeds'| @t203 @t202)) % 1.01/1.24 (define @t209 () (|tptp.'@<_succeeds'| @t82 @t201)) % 1.01/1.24 (define @t210 () (|tptp.'@<_succeeds'| @t83 @t200)) % 1.01/1.24 (define @t211 () (@var "Xl3" $$unsorted)) % 1.01/1.24 (define @t212 () (@var "Xl2" $$unsorted)) % 1.01/1.24 (define @t213 () (@var "Xl1" $$unsorted)) % 1.01/1.24 (define @t214 () (tptp.append_succeeds @t213 @t212 @t211)) % 1.01/1.24 (define @t215 () (|tptp.'**'| @t213 @t212)) % 1.01/1.24 (define @t216 () (tptp.list_succeeds @t213)) % 1.01/1.24 (define @t217 () (@list @t213 @t212 @t211)) % 1.01/1.24 (define @t218 () (@var "Xn" $$unsorted)) % 1.01/1.24 (define @t219 () (@var "Xl" $$unsorted)) % 1.01/1.24 (define @t220 () (tptp.length_succeeds @t219 @t218)) % 1.01/1.24 (define @t221 () (tptp.lh @t219)) % 1.01/1.24 (define @t222 () (tptp.list_succeeds @t219)) % 1.01/1.24 (define @t223 () (@list @t219 @t218)) % 1.01/1.24 (define @t224 () (tptp.member_succeeds @t147 @t212)) % 1.01/1.24 (define @t225 () (tptp.member_succeeds @t147 @t213)) % 1.01/1.24 (define @t226 () (@list @t213 @t212)) % 1.01/1.24 (define @t227 () (tptp.cons @t147 @t219)) % 1.01/1.24 (define @t228 () (@list @t147 @t219)) % 1.01/1.24 (define @t229 () (@list @t219)) % 1.01/1.24 (define @t230 () (tptp.member_succeeds @t147 @t219)) % 1.01/1.24 (define @t231 () (tptp.list_succeeds @t211)) % 1.01/1.24 (define @t232 () (tptp.list_succeeds @t212)) % 1.01/1.24 (define @t233 () (and @t214 @t231)) % 1.01/1.24 (define @t234 () (and @t216 @t232)) % 1.01/1.24 (define @t235 () (tptp.append_terminates @t213 @t212 @t211)) % 1.01/1.24 (define @t236 () (tptp.gr @t211)) % 1.01/1.24 (define @t237 () (tptp.gr @t212)) % 1.01/1.24 (define @t238 () (tptp.gr @t213)) % 1.01/1.24 (define @t239 () (and @t238 @t237)) % 1.01/1.24 (define @t240 () (@var "Xl4" $$unsorted)) % 1.01/1.24 (define @t241 () (@list @t213 @t212 @t211 @t240)) % 1.01/1.24 (define @t242 () (|tptp.'**'| tptp.nil @t219)) % 1.01/1.24 (define @t243 () (forall @t229 (= @t242 @t219))) % 1.01/1.24 (define @t244 () (tptp.cons @t147 @t213)) % 1.01/1.24 (define @t245 () (= (|tptp.'**'| @t244 @t212) (tptp.cons @t147 @t215))) % 1.01/1.24 (define @t246 () (@list @t147 @t213 @t212)) % 1.01/1.24 (define @t247 () (forall @t246 (=> @t216 @t245))) % 1.01/1.24 (define @t248 () (tptp.list_succeeds @t215)) % 1.01/1.24 (define @t249 () (tptp.gr @t215)) % 1.01/1.24 (define @t250 () (|tptp.'**'| @t212 @t211)) % 1.01/1.24 (define @t251 () (@var "Xm" $$unsorted)) % 1.01/1.24 (define @t252 () (tptp.lh @t227)) % 1.01/1.24 (define @t253 () (tptp.cons @t147 @t212)) % 1.01/1.24 (define @t254 () (@list @t147 @t212)) % 1.01/1.24 (define @t255 () (tptp.s @t218)) % 1.01/1.24 (define @t256 () (tptp.lh @t213)) % 1.01/1.24 (define @t257 () (tptp.lh @t212)) % 1.01/1.24 (define @t258 () (|tptp.'@+'| @t256 @t257)) % 1.01/1.24 (define @t259 () (tptp.lh @t215)) % 1.01/1.24 (define @t260 () (tptp.lh @t211)) % 1.01/1.24 (define @t261 () (@var "Xi" $$unsorted)) % 1.01/1.24 (define @t262 () (tptp.cons @t147 @t261)) % 1.01/1.24 (define @t263 () (@var "Xk" $$unsorted)) % 1.01/1.24 (define @t264 () (@var "Xj" $$unsorted)) % 1.01/1.24 (define @t265 () (tptp.sub @t261 @t264)) % 1.01/1.24 (define @t266 () (@list @t147 @t261 @t264)) % 1.01/1.24 (define @t267 () (tptp.append_succeeds @t213 @t253 @t211)) % 1.01/1.24 (define @t268 () (tptp.member_succeeds @t147 @t211)) % 1.01/1.24 (define @t269 () (@list @t147 @t213 @t212 @t211)) % 1.01/1.24 (define @t270 () (tptp.member_succeeds @t147 @t215)) % 1.01/1.24 (define @t271 () (or @t225 @t224)) % 1.01/1.24 (define @t272 () (= @t213 tptp.nil)) % 1.01/1.24 (define @t273 () (tptp.nat_list_succeeds @t219)) % 1.01/1.24 (define @t274 () (|tptp.'@<_succeeds'| @t258 @t218)) % 1.01/1.24 (define @t275 () (tptp.delete_terminates @t147 @t213 @t212)) % 1.01/1.24 (define @t276 () (tptp.delete_succeeds @t147 @t213 @t212)) % 1.01/1.24 (define @t277 () (and @t276 @t216)) % 1.01/1.24 (define @t278 () (tptp.delete_succeeds @t147 (|tptp.'**'| @t213 @t253) @t215)) % 1.01/1.24 (define @t279 () (forall @t254 @t278)) % 1.01/1.24 (define @t280 () (@list @t213)) % 1.01/1.24 (define @t281 () (forall @t280 (=> @t216 @t279))) % 1.01/1.24 (define @t282 () (forall @t254 (tptp.delete_succeeds @t147 (|tptp.'**'| @t1 @t253) (|tptp.'**'| @t1 @t212)))) % 1.01/1.24 (define @t283 () (and (= @t213 @t121) @t120 @t282)) % 1.01/1.24 (define @t284 () (exists @t123 @t283)) % 1.01/1.24 (define @t285 () (or @t284 @t272)) % 1.01/1.24 (define @t286 () (=> @t285 @t279)) % 1.01/1.24 (define @t287 () (forall @t280 @t286)) % 1.01/1.24 (define @t288 () (=> @t287 @t281)) % 1.01/1.24 (define @t289 () (forall @t246 (=> @t216 @t278))) % 1.01/1.24 (define @t290 () (not @t289)) % 1.01/1.24 (define @t291 () (not @t85)) % 1.01/1.24 (define @t292 () (= @t5 @t83)) % 1.01/1.24 (define @t293 () (not @t292)) % 1.01/1.24 (define @t294 () (or @t293 @t97 @t291)) % 1.01/1.24 (define @t295 () (and @t292 @t87 @t85)) % 1.01/1.24 (define @t296 () (forall @t90 (not @t295))) % 1.01/1.24 (define @t297 () (not @t296)) % 1.01/1.24 (define @t298 () (@var "BOUND_VARIABLE_10017" $$unsorted)) % 1.01/1.24 (define @t299 () (not (forall @t254 (tptp.delete_succeeds @t147 (|tptp.'**'| @t298 @t253) (|tptp.'**'| @t298 @t212))))) % 1.01/1.24 (define @t300 () (not (tptp.list_succeeds @t298))) % 1.01/1.24 (define @t301 () (@var "BOUND_VARIABLE_10021" $$unsorted)) % 1.01/1.24 (define @t302 () (@var "BOUND_VARIABLE_10015" $$unsorted)) % 1.01/1.24 (define @t303 () (tptp.cons @t302 @t298)) % 1.01/1.24 (define @t304 () (@var "BOUND_VARIABLE_10019" $$unsorted)) % 1.01/1.24 (define @t305 () (tptp.cons @t304 @t301)) % 1.01/1.24 (define @t306 () (tptp.delete_succeeds @t304 (|tptp.'**'| @t303 @t305) (|tptp.'**'| @t303 @t301))) % 1.01/1.24 (define @t307 () (or @t306 @t300 @t299)) % 1.01/1.24 (define @t308 () (@list @t302 @t298 @t304 @t301)) % 1.01/1.24 (define @t309 () (forall @t308 @t307)) % 1.01/1.24 (define @t310 () (@quantifiers_skolemize @t309 3)) % 1.01/1.24 (define @t311 () (@quantifiers_skolemize @t309 1)) % 1.01/1.24 (define @t312 () (@quantifiers_skolemize @t309 0)) % 1.01/1.24 (define @t313 () (tptp.cons @t312 @t311)) % 1.01/1.24 (define @t314 () (|tptp.'**'| @t313 @t310)) % 1.01/1.24 (define @t315 () (@quantifiers_skolemize @t309 2)) % 1.01/1.24 (define @t316 () (tptp.cons @t315 @t310)) % 1.01/1.24 (define @t317 () (|tptp.'**'| @t313 @t316)) % 1.01/1.24 (define @t318 () (= @t317 (tptp.cons @t315 @t314))) % 1.01/1.24 (define @t319 () (not (tptp.delete_succeeds @t315 @t3 @t7))) % 1.01/1.24 (define @t320 () (not (= @t314 @t86))) % 1.01/1.24 (define @t321 () (not (= @t5 @t317))) % 1.01/1.24 (define @t322 () (or @t321 @t320 @t319)) % 1.01/1.24 (define @t323 () (forall @t90 @t322)) % 1.01/1.24 (define @t324 () (not @t323)) % 1.01/1.24 (define @t325 () (or @t324 @t318)) % 1.01/1.24 (define @t326 () (tptp.delete_succeeds @t315 @t317 @t314)) % 1.01/1.24 (define @t327 () (= @t326 @t325)) % 1.01/1.24 (define @t328 () (forall @t95 (= @t93 (or (not (forall @t90 @t294)) @t84)))) % 1.01/1.24 (define @t329 () (forall @t90 (or @t321 (not (= @t86 @t314)) @t319))) % 1.01/1.24 (define @t330 () (not @t329)) % 1.01/1.24 (define @t331 () (or @t330 @t318)) % 1.01/1.24 (define @t332 () (= @t326 @t331)) % 1.01/1.24 (define @t333 () (@list false)) % 1.01/1.24 (define @t334 () (@list @t328)) % 1.01/1.24 (define @t335 () (@var "BOUND_VARIABLE_10048" $$unsorted)) % 1.01/1.24 (define @t336 () (@var "BOUND_VARIABLE_10046" $$unsorted)) % 1.01/1.24 (define @t337 () (tptp.cons @t336 @t335)) % 1.01/1.24 (define @t338 () (tptp.delete_succeeds @t336 (|tptp.'**'| tptp.nil @t337) (|tptp.'**'| tptp.nil @t335))) % 1.01/1.24 (define @t339 () (@list @t336 @t335)) % 1.01/1.24 (define @t340 () (forall @t339 @t338)) % 1.01/1.24 (define @t341 () (@quantifiers_skolemize @t340 1)) % 1.01/1.24 (define @t342 () (|tptp.'**'| tptp.nil @t341)) % 1.01/1.24 (define @t343 () (@quantifiers_skolemize @t340 0)) % 1.01/1.24 (define @t344 () (tptp.cons @t343 @t341)) % 1.01/1.24 (define @t345 () (|tptp.'**'| tptp.nil @t344)) % 1.01/1.24 (define @t346 () (= @t345 (tptp.cons @t343 @t342))) % 1.01/1.24 (define @t347 () (not (tptp.delete_succeeds @t343 @t3 @t7))) % 1.01/1.24 (define @t348 () (not (= @t342 @t86))) % 1.01/1.24 (define @t349 () (not (= @t5 @t345))) % 1.01/1.24 (define @t350 () (or @t349 @t348 @t347)) % 1.01/1.24 (define @t351 () (forall @t90 @t350)) % 1.01/1.24 (define @t352 () (not @t351)) % 1.01/1.24 (define @t353 () (or @t352 @t346)) % 1.01/1.24 (define @t354 () (tptp.delete_succeeds @t343 @t345 @t342)) % 1.01/1.24 (define @t355 () (= @t354 @t353)) % 1.01/1.24 (define @t356 () (or (not (forall @t90 (or @t349 (not (= @t86 @t342)) @t347))) @t346)) % 1.01/1.24 (define @t357 () (= @t354 @t356)) % 1.01/1.24 (define @t358 () (@list false false)) % 1.01/1.24 (define @t359 () (not @t354)) % 1.01/1.24 (define @t360 () (not @t340)) % 1.01/1.24 (define @t361 () (not @t216)) % 1.01/1.24 (define @t362 () (or @t361 @t278)) % 1.01/1.24 (define @t363 () (forall @t246 @t362)) % 1.01/1.24 (define @t364 () (@var "BOUND_VARIABLE_12055" $$unsorted)) % 1.01/1.24 (define @t365 () (@var "BOUND_VARIABLE_12053" $$unsorted)) % 1.01/1.24 (define @t366 () (@var "BOUND_VARIABLE_12054" $$unsorted)) % 1.01/1.24 (define @t367 () (@list @t365 @t366 @t364)) % 1.01/1.24 (define @t368 () (@var "BOUND_VARIABLE_10088" $$unsorted)) % 1.01/1.24 (define @t369 () (@var "BOUND_VARIABLE_10086" $$unsorted)) % 1.01/1.24 (define @t370 () (tptp.delete_succeeds @t369 (|tptp.'**'| @t213 (tptp.cons @t369 @t368)) (|tptp.'**'| @t213 @t368))) % 1.01/1.24 (define @t371 () (or @t361 @t370)) % 1.01/1.24 (define @t372 () (forall (@list @t213 @t369 @t368) @t371)) % 1.01/1.24 (define @t373 () (not @t372)) % 1.01/1.24 (define @t374 () (@list true)) % 1.01/1.24 (define @t375 () (@list @t369 @t368)) % 1.01/1.24 (define @t376 () (forall @t375 @t371)) % 1.01/1.24 (define @t377 () (forall @t375 @t370)) % 1.01/1.24 (define @t378 () (@list @t147 @t212)) % 1.01/1.24 (define @t379 () (or @t361 @t377)) % 1.01/1.24 (define @t380 () (not (= tptp.nil tptp.nil))) % 1.01/1.24 (define @t381 () (or @t380 @t338)) % 1.01/1.24 (define @t382 () (@var "BOUND_VARIABLE_10040" $$unsorted)) % 1.01/1.24 (define @t383 () (tptp.delete_succeeds @t336 (|tptp.'**'| @t382 @t337) (|tptp.'**'| @t382 @t335))) % 1.01/1.24 (define @t384 () (not (= tptp.nil @t382))) % 1.01/1.24 (define @t385 () (@list @t382)) % 1.01/1.24 (define @t386 () (or @t384 @t384 @t383)) % 1.01/1.24 (define @t387 () (or @t384 @t383)) % 1.01/1.24 (define @t388 () (forall @t385 @t387)) % 1.01/1.24 (define @t389 () (forall @t339 @t388)) % 1.01/1.24 (define @t390 () (forall (@list @t336 @t335 @t382) @t387)) % 1.01/1.24 (define @t391 () (forall (@list @t382 @t336 @t335) @t387)) % 1.01/1.24 (define @t392 () (@var "BOUND_VARIABLE_10044" $$unsorted)) % 1.01/1.24 (define @t393 () (@var "BOUND_VARIABLE_10042" $$unsorted)) % 1.01/1.24 (define @t394 () (forall (@list @t382 @t393 @t392 @t336 @t335) @t387)) % 1.01/1.24 (define @t395 () (not (= @t303 @t303))) % 1.01/1.24 (define @t396 () (or @t306 @t395 @t300 @t299)) % 1.01/1.24 (define @t397 () (@var "BOUND_VARIABLE_10013" $$unsorted)) % 1.01/1.24 (define @t398 () (not (= @t397 @t303))) % 1.01/1.24 (define @t399 () (tptp.delete_succeeds @t304 (|tptp.'**'| @t397 @t305) (|tptp.'**'| @t397 @t301))) % 1.01/1.24 (define @t400 () (or @t398 @t399 @t398 @t300 @t299)) % 1.01/1.24 (define @t401 () (@list @t397)) % 1.01/1.24 (define @t402 () (or @t399 @t398 @t300 @t299)) % 1.01/1.24 (define @t403 () (forall @t401 @t402)) % 1.01/1.24 (define @t404 () (forall @t308 @t403)) % 1.01/1.24 (define @t405 () (forall (@list @t302 @t298 @t304 @t301 @t397) @t402)) % 1.01/1.24 (define @t406 () (forall (@list @t397 @t302 @t298 @t304 @t301) @t402)) % 1.01/1.24 (define @t407 () (@var "BOUND_VARIABLE_9991" $$unsorted)) % 1.01/1.24 (define @t408 () (@var "BOUND_VARIABLE_9989" $$unsorted)) % 1.01/1.24 (define @t409 () (tptp.delete_succeeds @t408 (|tptp.'**'| @t213 (tptp.cons @t408 @t407)) (|tptp.'**'| @t213 @t407))) % 1.01/1.24 (define @t410 () (= tptp.nil @t213)) % 1.01/1.24 (define @t411 () (not @t410)) % 1.01/1.24 (define @t412 () (or @t411 @t409)) % 1.01/1.24 (define @t413 () (@var "BOUND_VARIABLE_9975" $$unsorted)) % 1.01/1.24 (define @t414 () (@var "BOUND_VARIABLE_9973" $$unsorted)) % 1.01/1.24 (define @t415 () (@list @t213 @t414 @t413 @t408 @t407)) % 1.01/1.24 (define @t416 () (forall @t415 @t412)) % 1.01/1.24 (define @t417 () (@list @t213 @t414 @t413 @t408 @t407)) % 1.01/1.24 (define @t418 () (not (forall @t254 (tptp.delete_succeeds @t147 (|tptp.'**'| @t413 @t253) (|tptp.'**'| @t413 @t212))))) % 1.01/1.24 (define @t419 () (not (tptp.list_succeeds @t413))) % 1.01/1.24 (define @t420 () (tptp.cons @t414 @t413)) % 1.01/1.24 (define @t421 () (not (= @t213 @t420))) % 1.01/1.24 (define @t422 () (or @t409 @t421 @t419 @t418)) % 1.01/1.24 (define @t423 () (forall @t415 @t422)) % 1.01/1.24 (define @t424 () (and @t423 @t416)) % 1.01/1.24 (define @t425 () (or @t421 @t419 @t418)) % 1.01/1.24 (define @t426 () (or @t425 @t409)) % 1.01/1.24 (define @t427 () (and @t426 @t412)) % 1.01/1.24 (define @t428 () (not (= @t420 @t213))) % 1.01/1.24 (define @t429 () (or @t428 @t419 @t418)) % 1.01/1.24 (define @t430 () (and @t429 @t411)) % 1.01/1.24 (define @t431 () (or @t430 @t409)) % 1.01/1.24 (define @t432 () (forall @t415 @t431)) % 1.01/1.24 (define @t433 () (forall (@list @t414 @t413 @t408 @t407) @t431)) % 1.01/1.24 (define @t434 () (forall (@list @t408 @t407) @t409)) % 1.01/1.24 (define @t435 () (@list @t414 @t413)) % 1.01/1.24 (define @t436 () (forall @t435 @t411)) % 1.01/1.24 (define @t437 () (forall @t435 @t429)) % 1.01/1.24 (define @t438 () (and @t437 @t436)) % 1.01/1.24 (define @t439 () (forall @t435 @t430)) % 1.01/1.24 (define @t440 () (or @t439 @t434)) % 1.01/1.24 (define @t441 () (not @t282)) % 1.01/1.24 (define @t442 () (not @t120)) % 1.01/1.24 (define @t443 () (= @t121 @t213)) % 1.01/1.24 (define @t444 () (not @t443)) % 1.01/1.24 (define @t445 () (or @t444 @t442 @t441)) % 1.01/1.24 (define @t446 () (forall @t123 @t445)) % 1.01/1.24 (define @t447 () (not @t446)) % 1.01/1.24 (define @t448 () (or @t447 @t410)) % 1.01/1.24 (define @t449 () (and @t443 @t120 @t282)) % 1.01/1.24 (define @t450 () (forall @t123 (not @t449))) % 1.01/1.24 (define @t451 () (not @t450)) % 1.01/1.24 (define @t452 () (and @t309 @t340)) % 1.01/1.24 (define @t453 () (not @t452)) % 1.01/1.24 (define @t454 () (not @t309)) % 1.01/1.24 (define @t455 () (@list true false)) % 1.01/1.24 (define @t456 () (forall @t254 (tptp.delete_succeeds @t147 (|tptp.'**'| @t311 @t253) (|tptp.'**'| @t311 @t212)))) % 1.01/1.24 (define @t457 () (not @t456)) % 1.01/1.24 (define @t458 () (tptp.list_succeeds @t311)) % 1.01/1.24 (define @t459 () (not @t458)) % 1.01/1.24 (define @t460 () (or @t326 @t459 @t457)) % 1.01/1.24 (define @t461 () (not @t460)) % 1.01/1.24 (define @t462 () (@list @t460)) % 1.01/1.24 (define @t463 () (not @t331)) % 1.01/1.24 (define @t464 () (|tptp.'**'| @t311 @t310)) % 1.01/1.24 (define @t465 () (|tptp.'**'| @t311 @t316)) % 1.01/1.24 (define @t466 () (tptp.delete_succeeds @t315 @t465 @t464)) % 1.01/1.24 (define @t467 () (tptp.cons @t312 @t465)) % 1.01/1.24 (define @t468 () (= @t317 @t467)) % 1.01/1.24 (define @t469 () (or @t459 @t468)) % 1.01/1.24 (define @t470 () (tptp.cons @t312 @t464)) % 1.01/1.24 (define @t471 () (= @t314 @t470)) % 1.01/1.24 (define @t472 () (or @t459 @t471)) % 1.01/1.24 (define @t473 () (not @t466)) % 1.01/1.24 (define @t474 () (not @t471)) % 1.01/1.24 (define @t475 () (not @t468)) % 1.01/1.24 (define @t476 () (or @t475 @t474 @t473)) % 1.01/1.24 (define @t477 () (not @t476)) % 1.01/1.24 (define @t478 () (not (= @t470 @t314))) % 1.01/1.24 (define @t479 () (not (= @t467 @t317))) % 1.01/1.24 (define @t480 () (or @t479 @t478 @t473)) % 1.01/1.24 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 1.01/1.24 (assume @p2 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 1.01/1.24 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 1.01/1.24 (assume @p4 (forall (@list @t7) (not (= tptp.nil (tptp.s @t7))))) % 1.01/1.24 (assume @p5 (forall (@list @t9 @t8) (not (= tptp.nil (tptp.cons @t9 @t8))))) % 1.01/1.24 (assume @p6 (forall (@list @t11 @t10) (=> (= (tptp.s @t11) (tptp.s @t10)) (= @t11 @t10)))) % 1.01/1.24 (assume @p7 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 1.01/1.24 (assume @p8 (forall (@list @t18 @t16 @t17 @t15) (=> (= (tptp.cons @t18 @t16) (tptp.cons @t17 @t15)) (= @t16 @t15)))) % 1.01/1.24 (assume @p9 (forall (@list @t20 @t22 @t19 @t21) (=> (= (tptp.cons @t20 @t22) (tptp.cons @t19 @t21)) (= @t20 @t19)))) % 1.01/1.24 (assume @p10 (tptp.gr |tptp.'0'|)) % 1.01/1.24 (assume @p11 (tptp.gr tptp.nil)) % 1.01/1.24 (assume @p12 (forall (@list @t23) (= (tptp.gr @t23) (tptp.gr (tptp.s @t23))))) % 1.01/1.24 (assume @p13 (forall (@list @t25 @t24) (= (and (tptp.gr @t25) (tptp.gr @t24)) (tptp.gr (tptp.cons @t25 @t24))))) % 1.01/1.24 (assume @p14 (forall @t31 (not (and @t30 @t29)))) % 1.01/1.24 (assume @p15 (forall @t31 (=> (tptp.delete_terminates @t28 @t27 @t26) (or @t30 @t29)))) % 1.01/1.24 (assume @p16 (forall @t36 (not (and @t35 @t34)))) % 1.01/1.24 (assume @p17 (forall @t36 (=> (tptp.length_terminates @t33 @t32) (or @t35 @t34)))) % 1.01/1.24 (assume @p18 (forall @t42 (not (and @t41 @t40)))) % 1.01/1.24 (assume @p19 (forall @t42 (=> (tptp.append_terminates @t39 @t38 @t37) (or @t41 @t40)))) % 1.01/1.24 (assume @p20 (forall @t47 (not (and @t46 @t45)))) % 1.01/1.24 (assume @p21 (forall @t47 (=> (tptp.member_terminates @t44 @t43) (or @t46 @t45)))) % 1.01/1.24 (assume @p22 (forall @t51 (not (and @t50 @t49)))) % 1.01/1.24 (assume @p23 (forall @t51 (=> (tptp.list_terminates @t48) (or @t50 @t49)))) % 1.01/1.24 (assume @p24 (forall @t55 (not (and @t54 @t53)))) % 1.01/1.24 (assume @p25 (forall @t55 (=> (tptp.nat_list_terminates @t52) (or @t54 @t53)))) % 1.01/1.24 (assume @p26 (forall @t61 (not (and @t60 @t59)))) % 1.01/1.24 (assume @p27 (forall @t61 (=> (tptp.times_terminates @t58 @t57 @t56) (or @t60 @t59)))) % 1.01/1.24 (assume @p28 (forall @t67 (not (and @t66 @t65)))) % 1.01/1.24 (assume @p29 (forall @t67 (=> (tptp.plus_terminates @t64 @t63 @t62) (or @t66 @t65)))) % 1.01/1.24 (assume @p30 (forall @t72 (not (and @t71 @t70)))) % 1.01/1.24 (assume @p31 (forall @t72 (=> (|tptp.'@=<_terminates'| @t69 @t68) (or @t71 @t70)))) % 1.01/1.24 (assume @p32 (forall @t77 (not (and @t76 @t75)))) % 1.01/1.24 (assume @p33 (forall @t77 (=> (|tptp.'@<_terminates'| @t74 @t73) (or @t76 @t75)))) % 1.01/1.24 (assume @p34 (forall @t81 (not (and @t80 @t79)))) % 1.01/1.24 (assume @p35 (forall @t81 (=> (tptp.nat_terminates @t78) (or @t80 @t79)))) % 1.01/1.24 (assume @p36 @t96) % 1.01/1.24 (assume @p37 (forall @t95 (= (tptp.delete_fails @t82 @t83 @t1) (and (forall @t90 (or @t98 @t97 (tptp.delete_fails @t82 @t3 @t7))) (not @t84))))) % 1.01/1.24 (assume @p38 (forall @t95 (= (tptp.delete_terminates @t82 @t83 @t1) (and (forall @t90 (and true (or @t98 (and true (or @t97 (tptp.delete_terminates @t82 @t3 @t7)))))) true)))) % 1.01/1.24 (assume @p39 (forall @t106 (= (tptp.length_succeeds @t82 @t83) (or (exists @t105 (and @t104 @t102 (tptp.length_succeeds @t4 @t3))) (and @t100 @t99))))) % 1.01/1.24 (assume @p40 (forall @t106 (= (tptp.length_fails @t82 @t83) (and (forall @t105 (or @t109 @t108 (tptp.length_fails @t4 @t3))) (or @t107 (not @t99)))))) % 1.01/1.24 (assume @p41 (forall @t106 (= (tptp.length_terminates @t82 @t83) (and (forall @t105 (and true (or @t109 (and true (or @t108 (tptp.length_terminates @t4 @t3)))))) true @t110)))) % 1.01/1.24 (assume @p42 (forall @t95 (= (tptp.append_succeeds @t82 @t83 @t1) (or (exists @t90 (and @t112 @t87 (tptp.append_succeeds @t3 @t83 @t7))) (and @t100 @t111))))) % 1.01/1.24 (assume @p43 (forall @t95 (= (tptp.append_fails @t82 @t83 @t1) (and (forall @t90 (or @t114 @t97 (tptp.append_fails @t3 @t83 @t7))) (or @t107 @t113))))) % 1.01/1.24 (assume @p44 (forall @t95 (= (tptp.append_terminates @t82 @t83 @t1) (and (forall @t90 (and true (or @t114 (and true (or @t97 (tptp.append_terminates @t3 @t83 @t7)))))) true @t110)))) % 1.01/1.24 (assume @p45 (forall @t106 (= (tptp.member_succeeds @t82 @t83) (or (exists @t118 (and @t117 (tptp.member_succeeds @t82 @t4))) (exists @t116 @t115))))) % 1.01/1.24 (assume @p46 (forall @t106 (= (tptp.member_fails @t82 @t83) (and (forall @t118 (or @t119 (tptp.member_fails @t82 @t4))) (forall @t116 (not @t115)))))) % 1.01/1.24 (assume @p47 (forall @t106 (= (tptp.member_terminates @t82 @t83) (and (forall @t118 (and true (or @t119 (tptp.member_terminates @t82 @t4)))) (forall @t116 true))))) % 1.01/1.24 (assume @p48 (forall @t124 (= (tptp.list_succeeds @t82) (or (exists @t123 (and @t122 @t120)) @t100)))) % 1.01/1.24 (assume @p49 (forall @t124 (= (tptp.list_fails @t82) (and (forall @t123 (or @t125 (tptp.list_fails @t1))) @t107)))) % 1.01/1.24 (assume @p50 (forall @t124 (= (tptp.list_terminates @t82) (and (forall @t123 (and true (or @t125 (tptp.list_terminates @t1)))) true)))) % 1.01/1.24 (assume @p51 (forall @t124 (= (tptp.nat_list_succeeds @t82) (or (exists @t123 (and @t122 @t126 (tptp.nat_list_succeeds @t1))) @t100)))) % 1.01/1.24 (assume @p52 (forall @t124 (= (tptp.nat_list_fails @t82) (and (forall @t123 (or @t125 @t127 (tptp.nat_list_fails @t1))) @t107)))) % 1.01/1.24 (assume @p53 (forall @t124 (= (tptp.nat_list_terminates @t82) (and (forall @t123 (and true (or @t125 (and @t128 (or @t127 (tptp.nat_list_terminates @t1)))))) true)))) % 1.01/1.24 (assume @p54 (forall @t95 (= (tptp.times_succeeds @t82 @t83 @t1) (or (exists @t6 (and @t132 (tptp.times_succeeds @t4 @t83 @t3) (tptp.plus_succeeds @t83 @t3 @t1))) (and @t130 @t129))))) % 1.01/1.24 (assume @p55 (forall @t95 (= (tptp.times_fails @t82 @t83 @t1) (and (forall @t6 (or @t135 @t134 (tptp.plus_fails @t83 @t3 @t1))) (or @t133 (not @t129)))))) % 1.01/1.24 (assume @p56 (forall @t95 (= (tptp.times_terminates @t82 @t83 @t1) (and (forall @t6 (and true (or @t135 (and (tptp.times_terminates @t4 @t83 @t3) (or @t134 (tptp.plus_terminates @t83 @t3 @t1)))))) true @t136)))) % 1.01/1.24 (assume @p57 (forall @t95 (= (tptp.plus_succeeds @t82 @t83 @t1) (or (exists @t6 (and @t132 @t137 (tptp.plus_succeeds @t4 @t83 @t3))) (and @t130 @t111))))) % 1.01/1.24 (assume @p58 (forall @t95 (= (tptp.plus_fails @t82 @t83 @t1) (and (forall @t6 (or @t135 @t138 (tptp.plus_fails @t4 @t83 @t3))) (or @t133 @t113))))) % 1.01/1.24 (assume @p59 (forall @t95 (= (tptp.plus_terminates @t82 @t83 @t1) (and (forall @t6 (and true (or @t135 (and true (or @t138 (tptp.plus_terminates @t4 @t83 @t3)))))) true @t136)))) % 1.01/1.24 (assume @p60 (forall @t106 (= (|tptp.'@=<_succeeds'| @t82 @t83) (or (exists @t118 (and @t140 @t139 (|tptp.'@=<_succeeds'| @t1 @t4))) @t130)))) % 1.01/1.24 (assume @p61 (forall @t106 (= (|tptp.'@=<_fails'| @t82 @t83) (and (forall @t118 (or @t142 @t141 (|tptp.'@=<_fails'| @t1 @t4))) @t133)))) % 1.01/1.24 (assume @p62 (forall @t106 (= (|tptp.'@=<_terminates'| @t82 @t83) (and (forall @t118 (and true (or @t142 (and true (or @t141 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 1.01/1.24 (assume @p63 (forall @t106 (= (|tptp.'@<_succeeds'| @t82 @t83) (or (exists @t118 (and @t140 @t139 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t116 (and @t130 @t102)))))) % 1.01/1.24 (assume @p64 (forall @t106 (= (|tptp.'@<_fails'| @t82 @t83) (and (forall @t118 (or @t142 @t141 (|tptp.'@<_fails'| @t1 @t4))) (forall @t116 (or @t133 @t108)))))) % 1.01/1.24 (assume @p65 (forall @t106 (= (|tptp.'@<_terminates'| @t82 @t83) (and (forall @t118 (and true (or @t142 (and true (or @t141 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t116 (and true @t136)))))) % 1.01/1.24 (assume @p66 (forall @t124 (= @t145 (or (exists @t144 (and @t143 @t126)) @t130)))) % 1.01/1.24 (assume @p67 (forall @t124 (= (tptp.nat_fails @t82) (and (forall @t144 (or @t146 @t127)) @t133)))) % 1.01/1.24 (assume @p68 (forall @t124 (= (tptp.nat_terminates @t82) (and (forall @t144 (and true (or @t146 @t128))) true)))) % 1.01/1.24 (assume @p69 (forall @t149 (=> @t148 (tptp.nat_terminates @t147)))) % 1.01/1.24 (assume @p70 (forall @t149 (=> @t148 @t150))) % 1.01/1.24 (assume @p71 (forall @t154 (=> @t148 @t153))) % 1.01/1.24 (assume @p72 (forall @t154 (=> @t155 @t153))) % 1.01/1.24 (assume @p73 (forall @t154 (=> @t156 @t148))) % 1.01/1.24 (assume @p74 (forall @t154 (=> (and @t156 @t157) @t155))) % 1.01/1.24 (assume @p75 (forall @t154 (=> (and @t156 @t155) @t157))) % 1.01/1.24 (assume @p76 (forall @t154 (=> @t156 @t153))) % 1.01/1.24 (assume @p77 (forall @t154 (=> @t156 @t150))) % 1.01/1.24 (assume @p78 (forall @t154 (=> (and @t156 @t159) @t158))) % 1.01/1.24 (assume @p79 (forall @t154 (=> (and @t156 @t158) @t159))) % 1.01/1.24 (assume @p80 (forall @t161 (=> @t148 (exists @t160 @t156)))) % 1.01/1.24 (assume @p81 (forall @t165 (=> (and (tptp.plus_succeeds @t147 @t152 @t163) (tptp.plus_succeeds @t147 @t152 @t162)) @t164))) % 1.01/1.24 (assume @p82 (forall @t166 (= (|tptp.'@+'| |tptp.'0'| @t152) @t152))) % 1.01/1.24 (assume @p83 (forall @t161 (=> @t148 (= @t169 (tptp.s @t167))))) % 1.01/1.24 (assume @p84 (forall @t161 (=> @t170 (tptp.nat_succeeds @t167)))) % 1.01/1.24 (assume @p85 (forall @t154 (=> @t172 (= (|tptp.'@+'| @t167 @t151) (|tptp.'@+'| @t147 @t171))))) % 1.01/1.24 (assume @p86 (forall @t149 (=> @t148 (= (|tptp.'@+'| @t147 |tptp.'0'|) @t147)))) % 1.01/1.24 (assume @p87 (forall @t161 (=> @t170 (= @t174 @t169)))) % 1.01/1.24 (assume @p88 (forall @t161 (=> @t170 (= @t167 @t175)))) % 1.01/1.24 (assume @p89 (forall @t154 (=> (and @t148 (= @t167 @t176)) (= @t152 @t151)))) % 1.01/1.24 (assume @p90 (forall @t154 (=> @t177 @t148))) % 1.01/1.24 (assume @p91 (forall @t154 (=> (and @t177 @t157) @t155))) % 1.01/1.24 (assume @p92 (forall @t154 (=> @t177 @t150))) % 1.01/1.24 (assume @p93 (forall @t154 (=> (and @t177 @t159) @t158))) % 1.01/1.24 (assume @p94 (forall @t154 (=> @t170 (tptp.times_terminates @t147 @t152 @t151)))) % 1.01/1.24 (assume @p95 (forall @t161 (=> @t170 (exists @t160 @t177)))) % 1.01/1.24 (assume @p96 (forall @t165 (=> (and (tptp.times_succeeds @t147 @t152 @t163) (tptp.times_succeeds @t147 @t152 @t162)) @t164))) % 1.01/1.24 (assume @p97 (forall @t166 (=> @t157 (= (|tptp.'@*'| |tptp.'0'| @t152) |tptp.'0'|)))) % 1.01/1.24 (assume @p98 (forall @t161 (=> @t170 (= @t179 (|tptp.'@+'| @t152 @t178))))) % 1.01/1.24 (assume @p99 (forall @t161 (=> @t170 (tptp.nat_succeeds @t178)))) % 1.01/1.24 (assume @p100 (forall @t154 (=> @t172 (= (|tptp.'@*'| @t167 @t151) (|tptp.'@+'| @t181 @t180))))) % 1.01/1.24 (assume @p101 (forall @t154 (=> @t172 (= (|tptp.'@*'| @t178 @t151) (|tptp.'@*'| @t147 @t180))))) % 1.01/1.24 (assume @p102 (forall @t149 (=> @t148 (= (|tptp.'@*'| @t147 |tptp.'0'|) |tptp.'0'|)))) % 1.01/1.24 (assume @p103 (forall (@list @t152 @t147) (=> (and @t157 @t148) (= (|tptp.'@+'| @t182 @t152) (|tptp.'@*'| @t152 @t168))))) % 1.01/1.24 (assume @p104 (forall @t161 (=> @t170 (= @t178 @t182)))) % 1.01/1.24 (assume @p105 (forall @t149 (=> @t148 (= (|tptp.'@*'| @t183 @t147) @t147)))) % 1.01/1.24 (assume @p106 (forall @t149 (=> @t148 (= (|tptp.'@*'| @t147 @t183) @t147)))) % 1.01/1.24 (assume @p107 (forall @t154 (=> @t172 (= (|tptp.'@*'| @t151 @t167) (|tptp.'@+'| (|tptp.'@*'| @t151 @t147) (|tptp.'@*'| @t151 @t152)))))) % 1.01/1.24 (assume @p108 (forall @t161 (=> @t148 @t184))) % 1.01/1.24 (assume @p109 (forall @t161 (=> @t157 @t184))) % 1.01/1.24 (assume @p110 (forall @t161 (=> @t185 @t148))) % 1.01/1.24 (assume @p111 (forall @t161 (=> @t185 (exists @t160 (= @t152 @t186))))) % 1.01/1.24 (assume @p112 (forall @t154 (=> (and @t185 (|tptp.'@<_succeeds'| @t152 @t186)) @t187))) % 1.01/1.24 (assume @p113 (forall @t161 (=> @t185 @t188))) % 1.01/1.24 (assume @p114 (forall @t154 (=> (and @t185 @t189) @t187))) % 1.01/1.24 (assume @p115 (forall @t149 (=> @t148 (|tptp.'@<_fails'| @t147 @t147)))) % 1.01/1.24 (assume @p116 (forall @t149 (=> @t148 (not (|tptp.'@<_succeeds'| @t147 @t147))))) % 1.01/1.24 (assume @p117 (forall @t149 (=> @t148 (|tptp.'@<_succeeds'| @t147 @t168)))) % 1.01/1.24 (assume @p118 (forall @t161 (=> (and @t157 @t188) @t191))) % 1.01/1.24 (assume @p119 (forall @t161 (=> @t170 (or @t185 @t190 (|tptp.'@<_succeeds'| @t152 @t147))))) % 1.01/1.24 (assume @p120 (forall @t149 (=> (and @t148 @t192) (|tptp.'@<_succeeds'| |tptp.'0'| @t147)))) % 1.01/1.24 (assume @p121 (forall @t161 (=> @t148 (|tptp.'@=<_terminates'| @t147 @t152)))) % 1.01/1.24 (assume @p122 (forall @t161 (=> @t193 @t148))) % 1.01/1.24 (assume @p123 (forall @t161 (=> @t193 (exists @t160 (tptp.plus_succeeds @t147 @t151 @t152))))) % 1.01/1.24 (assume @p124 (forall @t161 (=> @t193 (exists @t160 (= @t176 @t152))))) % 1.01/1.24 (assume @p125 (forall @t161 (=> @t185 (exists @t160 (tptp.plus_succeeds @t147 @t186 @t152))))) % 1.01/1.24 (assume @p126 (forall @t161 (=> @t185 (exists @t160 (= (|tptp.'@+'| @t147 @t186) @t152))))) % 1.01/1.24 (assume @p127 (forall @t161 (=> @t185 @t193))) % 1.01/1.24 (assume @p128 (forall @t149 (=> @t148 (|tptp.'@=<_succeeds'| @t147 @t147)))) % 1.01/1.24 (assume @p129 (forall @t161 (=> @t170 (or @t193 @t194)))) % 1.01/1.24 (assume @p130 (forall @t161 (=> @t170 (or @t185 @t194)))) % 1.01/1.24 (assume @p131 (forall @t161 (=> (and @t148 @t157 (|tptp.'@=<_fails'| @t147 @t152)) @t194))) % 1.01/1.24 (assume @p132 (forall @t161 (=> (and @t193 @t157) @t191))) % 1.01/1.24 (assume @p133 (forall @t154 (=> (and @t193 @t189) @t187))) % 1.01/1.24 (assume @p134 (forall @t154 (=> (and @t185 @t195) @t187))) % 1.01/1.24 (assume @p135 (forall @t154 (=> (and @t193 @t195) (|tptp.'@=<_succeeds'| @t147 @t151)))) % 1.01/1.24 (assume @p136 (forall @t161 (=> (and @t193 @t194) @t190))) % 1.01/1.24 (assume @p137 (forall @t149 (=> @t148 (|tptp.'@=<_succeeds'| @t147 @t168)))) % 1.01/1.24 (assume @p138 (forall @t149 (=> @t148 (|tptp.'@=<_fails'| @t168 @t147)))) % 1.01/1.24 (assume @p139 (forall @t154 (=> (and @t148 @t189) @t196))) % 1.01/1.24 (assume @p140 (forall @t161 (=> @t148 (|tptp.'@<_succeeds'| @t147 @t174)))) % 1.01/1.24 (assume @p141 (forall @t154 (=> (and @t185 @t157 @t155) @t197))) % 1.01/1.24 (assume @p142 (forall @t161 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t152) @t148 @t157) (|tptp.'@<_succeeds'| @t147 @t175)))) % 1.01/1.24 (assume @p143 (forall @t154 (=> (and @t148 @t195) @t198))) % 1.01/1.24 (assume @p144 (forall @t154 (=> @t199 (|tptp.'@=<_succeeds'| @t176 @t171)))) % 1.01/1.24 (assume @p145 (forall @t161 (=> @t148 (|tptp.'@=<_succeeds'| @t147 @t167)))) % 1.01/1.24 (assume @p146 (forall @t161 (=> @t170 (|tptp.'@=<_succeeds'| @t152 @t167)))) % 1.01/1.24 (assume @p147 (forall @t154 (=> (and @t148 @t196) @t189))) % 1.01/1.24 (assume @p148 (forall @t154 (=> (and @t148 @t157 @t155 @t197) @t185))) % 1.01/1.24 (assume @p149 (forall @t154 (=> (and @t148 @t198) @t195))) % 1.01/1.24 (assume @p150 (forall @t207 (=> (and @t206 @t205 @t204) (|tptp.'@=<_succeeds'| @t203 @t202)))) % 1.01/1.24 (assume @p151 (forall @t207 (=> (and @t209 @t205 @t204) @t208))) % 1.01/1.24 (assume @p152 (forall @t207 (=> (and @t206 @t210 @t204) @t208))) % 1.01/1.24 (assume @p153 (forall @t207 (=> (and @t209 @t210 @t204) @t208))) % 1.01/1.24 (assume @p154 (forall @t154 (=> (and @t148 @t195 @t155) (|tptp.'@=<_succeeds'| @t178 @t181)))) % 1.01/1.24 (assume @p155 (forall @t154 (=> @t199 (|tptp.'@=<_succeeds'| @t181 @t180)))) % 1.01/1.24 (assume @p156 (forall @t154 (=> (and @t148 @t192 @t189 @t155) (|tptp.'@<_succeeds'| @t178 @t181)))) % 1.01/1.24 (assume @p157 (forall @t154 (=> (and @t148 @t157 @t155 (|tptp.'@=<_succeeds'| @t179 (|tptp.'@*'| @t168 @t151))) @t195))) % 1.01/1.24 (assume @p158 (forall (@list @t82 @t83 @t152) (=> (and @t145 @t126 @t157 (= (|tptp.'@+'| @t82 @t152) (|tptp.'@+'| @t83 @t152))) (= @t82 @t83)))) % 1.01/1.24 (assume @p159 (forall @t217 (=> @t216 (= (= @t215 @t211) @t214)))) % 1.01/1.24 (assume @p160 (forall @t223 (=> @t222 (= (= @t221 @t218) @t220)))) % 1.01/1.24 (assume @p161 (forall @t226 (= (tptp.sub @t213 @t212) (forall @t149 (=> @t225 @t224))))) % 1.01/1.24 (assume @p162 (forall @t149 (tptp.list_succeeds (tptp.cons @t147 tptp.nil)))) % 1.01/1.24 (assume @p163 (forall @t161 (tptp.list_succeeds (tptp.cons @t147 (tptp.cons @t152 tptp.nil))))) % 1.01/1.24 (assume @p164 (forall @t154 (tptp.list_succeeds (tptp.cons @t147 (tptp.cons @t152 (tptp.cons @t151 tptp.nil)))))) % 1.01/1.24 (assume @p165 (forall @t228 (=> (tptp.list_succeeds @t227) @t222))) % 1.01/1.24 (assume @p166 (forall @t229 (=> @t222 (tptp.list_terminates @t219)))) % 1.01/1.24 (assume @p167 (forall @t228 (=> @t222 (tptp.member_terminates @t147 @t219)))) % 1.01/1.24 (assume @p168 (forall @t228 (=> @t222 (or @t230 (tptp.member_fails @t147 @t219))))) % 1.01/1.24 (assume @p169 (forall @t228 (=> (and @t230 (tptp.gr @t219)) @t150))) % 1.01/1.24 (assume @p170 (forall (@list @t147 @t152 @t151 @t219) (=> (and (tptp.member_succeeds @t147 (tptp.cons @t152 @t219)) (not @t190)) @t230))) % 1.01/1.24 (assume @p171 (forall @t217 (=> @t214 @t216))) % 1.01/1.24 (assume @p172 (forall @t217 (=> (and @t214 @t232) @t231))) % 1.01/1.24 (assume @p173 (forall @t217 (=> @t233 @t232))) % 1.01/1.24 (assume @p174 (forall @t217 (=> @t233 @t234))) % 1.01/1.24 (assume @p175 (forall @t217 (=> @t216 @t235))) % 1.01/1.24 (assume @p176 (forall @t217 (=> @t231 @t235))) % 1.01/1.24 (assume @p177 (forall @t217 (=> (and @t214 @t238 @t237) @t236))) % 1.01/1.24 (assume @p178 (forall @t217 (=> (and @t214 @t236) @t239))) % 1.01/1.24 (assume @p179 (forall @t226 (=> @t216 (exists (@list @t211) @t214)))) % 1.01/1.24 (assume @p180 (forall @t241 (=> (and @t214 (tptp.append_succeeds @t213 @t212 @t240)) (= @t211 @t240)))) % 1.01/1.24 (assume @p181 @t243) % 1.01/1.24 (assume @p182 @t247) % 1.01/1.24 (assume @p183 (forall @t226 (=> @t234 @t248))) % 1.01/1.24 (assume @p184 (forall @t226 (=> (and @t216 @t248) @t232))) % 1.01/1.24 (assume @p185 (forall @t226 (=> (and @t216 @t238 @t237) @t249))) % 1.01/1.24 (assume @p186 (forall @t226 (=> (and @t216 @t249) @t239))) % 1.01/1.24 (assume @p187 (forall @t217 (=> @t234 (= (|tptp.'**'| @t215 @t211) (|tptp.'**'| @t213 @t250))))) % 1.01/1.24 (assume @p188 (forall @t229 (=> @t222 (= (|tptp.'**'| @t219 tptp.nil) @t219)))) % 1.01/1.24 (assume @p189 (forall @t223 (=> @t220 (and @t222 (tptp.nat_succeeds @t218))))) % 1.01/1.24 (assume @p190 (forall @t223 (=> @t222 (tptp.length_terminates @t219 @t218)))) % 1.01/1.24 (assume @p191 (forall @t223 (=> @t220 (tptp.gr @t218)))) % 1.01/1.24 (assume @p192 (forall @t229 (=> @t222 (exists (@list @t218) @t220)))) % 1.01/1.24 (assume @p193 (forall (@list @t219 @t251 @t218) (=> (and (tptp.length_succeeds @t219 @t251) @t220) (= @t251 @t218)))) % 1.01/1.24 (assume @p194 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 1.01/1.24 (assume @p195 (forall @t228 (=> @t222 (= @t252 (tptp.s @t221))))) % 1.01/1.24 (assume @p196 (forall @t229 (=> @t222 (tptp.nat_succeeds @t221)))) % 1.01/1.24 (assume @p197 (forall @t229 (=> (and @t222 (= @t221 |tptp.'0'|)) (= @t219 tptp.nil)))) % 1.01/1.24 (assume @p198 (forall (@list @t218 @t213) (=> (and @t216 (= @t256 @t255)) (exists @t254 (= @t213 @t253))))) % 1.01/1.24 (assume @p199 (forall @t226 (=> @t234 (= @t259 @t258)))) % 1.01/1.24 (assume @p200 (forall @t226 (=> @t234 (|tptp.'@=<_succeeds'| @t256 @t259)))) % 1.01/1.24 (assume @p201 (forall @t226 (=> @t234 (|tptp.'@=<_succeeds'| @t257 @t259)))) % 1.01/1.24 (assume @p202 (forall @t228 (=> @t222 (|tptp.'@=<_succeeds'| @t221 @t252)))) % 1.01/1.24 (assume @p203 (forall @t217 (=> @t233 (= @t258 @t260)))) % 1.01/1.24 (assume @p204 (forall @t217 (=> @t233 (|tptp.'@=<_succeeds'| @t256 @t260)))) % 1.01/1.24 (assume @p205 (forall @t217 (=> @t233 (|tptp.'@=<_succeeds'| @t257 @t260)))) % 1.01/1.24 (assume @p206 (forall (@list @t147 @t261) (tptp.sub @t261 @t262))) % 1.01/1.24 (assume @p207 (forall @t229 (tptp.sub @t219 @t219))) % 1.01/1.24 (assume @p208 (forall (@list @t261 @t264 @t263) (=> (and @t265 (tptp.sub @t264 @t263)) (tptp.sub @t261 @t263)))) % 1.01/1.24 (assume @p209 (forall @t229 (tptp.sub tptp.nil @t219))) % 1.01/1.24 (assume @p210 (forall @t266 (=> (and @t265 (tptp.member_succeeds @t147 @t264)) (tptp.sub @t262 @t264)))) % 1.01/1.24 (assume @p211 (forall @t266 (=> @t265 (tptp.sub @t262 (tptp.cons @t147 @t264))))) % 1.01/1.24 (assume @p212 (forall (@list @t147 @t211) (=> @t268 (exists @t226 @t267)))) % 1.01/1.24 (assume @p213 (forall @t269 (=> (and @t214 @t225) @t268))) % 1.01/1.24 (assume @p214 (forall @t269 (=> (and @t214 @t224) @t268))) % 1.01/1.24 (assume @p215 (forall @t246 (=> (and @t225 @t216) @t270))) % 1.01/1.24 (assume @p216 (forall @t246 (=> (and @t224 @t216) @t270))) % 1.01/1.24 (assume @p217 (forall @t269 (=> @t267 @t268))) % 1.01/1.24 (assume @p218 (forall @t269 (=> (and @t214 @t268) @t271))) % 1.01/1.24 (assume @p219 (forall @t246 (=> (and @t216 @t270) @t271))) % 1.01/1.24 (assume @p220 (forall @t226 (=> @t216 (tptp.sub @t213 @t215)))) % 1.01/1.24 (assume @p221 (forall @t226 (=> @t216 (tptp.sub @t212 @t215)))) % 1.01/1.24 (assume @p222 (forall @t269 (=> @t233 (not (= @t212 (tptp.cons @t147 @t211)))))) % 1.01/1.24 (assume @p223 (forall @t226 (=> (and (tptp.append_succeeds @t213 @t212 @t212) @t232) @t272))) % 1.01/1.24 (assume @p224 (forall @t241 (=> (and @t214 (tptp.append_succeeds @t240 @t212 @t211) @t231) (= @t213 @t240)))) % 1.01/1.24 (assume @p225 (forall @t217 (=> (and @t216 @t232 @t231 (= (|tptp.'**'| @t213 @t211) @t250)) (= @t213 @t212)))) % 1.01/1.24 (assume @p226 (forall @t241 (=> (and @t214 (tptp.append_succeeds @t213 @t240 @t211)) (= @t212 @t240)))) % 1.01/1.24 (assume @p227 (forall @t229 (=> @t273 @t222))) % 1.01/1.24 (assume @p228 (forall @t229 (=> @t273 (tptp.nat_list_terminates @t219)))) % 1.01/1.24 (assume @p229 (forall @t149 (=> (tptp.nat_list_succeeds @t147) @t150))) % 1.01/1.24 (assume @p230 (forall (@list @t147 @t213 @t212 @t218) (=> (and @t216 @t232 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t244) @t257) @t255)) @t274))) % 1.01/1.24 (assume @p231 (forall (@list @t213 @t152 @t212 @t218) (=> (and @t216 @t232 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t256 (tptp.lh (tptp.cons @t152 @t212))) @t255)) @t274))) % 1.01/1.24 (assume @p232 (forall @t246 (=> @t216 @t275))) % 1.01/1.24 (assume @p233 (forall @t246 (=> @t232 @t275))) % 1.01/1.24 (assume @p234 (forall @t246 (=> @t277 @t232))) % 1.01/1.24 (assume @p235 (forall @t246 (=> (and @t276 @t232) @t216))) % 1.01/1.24 (assume @p236 (forall @t246 (=> @t277 (= @t256 (tptp.s @t257))))) % 1.01/1.24 (assume @p237 @t288) % 1.01/1.24 (assume @p238 @t290) % 1.01/1.24 (assume @p239 true) % 1.01/1.24 (step @p240 :rule refl :args (@t84)) % 1.01/1.24 (step @p241 :rule aci_norm :args ((= (or @t293 (or @t97 @t291)) @t294))) % 1.01/1.24 (step @p242 :rule bool-and-de-morgan :args (@t87 @t85 true)) % 1.01/1.24 (step @p243 :rule refl :args (@t293)) % 1.01/1.24 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or @t293 (not (and @t87 @t85))))) % 1.01/1.24 (step @p245 :rule bool-and-de-morgan :args (@t292 @t87 (and @t85))) % 1.01/1.24 (step @p246 :rule trans :premises (@p245 @p244)) % 1.01/1.24 (step @p247 :rule trans :premises (@p246 @p241)) % 1.01/1.24 (step @p248 :rule cong :premises (@p247) :args (@t296)) % 1.01/1.24 (step @p249 :rule cong :premises (@p248) :args (@t297)) % 1.01/1.24 (step @p250 :rule exists-elim :args ((= (exists @t90 @t295) @t297))) % 1.01/1.24 (step @p251 :rule trans :premises (@p250 @p249)) % 1.01/1.24 (step @p252 :rule refl :args (@t85)) % 1.01/1.24 (step @p253 :rule refl :args (@t87)) % 1.01/1.24 (step @p254 :rule eq-symm :args (@t83 @t5)) % 1.01/1.24 (step @p255 :rule nary_cong :premises (@p254 @p253 @p252) :args (@t89)) % 1.01/1.24 (step @p256 :rule cong :premises (@p255) :args (@t91)) % 1.01/1.24 (step @p257 :rule trans :premises (@p256 @p251)) % 1.01/1.24 (step @p258 :rule nary_cong :premises (@p257 @p240) :args (@t92)) % 1.01/1.24 (step @p259 :rule refl :args (@t93)) % 1.01/1.24 (step @p260 :rule cong :premises (@p259 @p258) :args (@t94)) % 1.01/1.24 (step @p261 :rule cong :premises (@p260) :args (@t96)) % 1.01/1.24 (step @p262 :rule eq_resolve :premises (@p36 @p261)) % 1.01/1.24 (step @p263 :rule refl :args (@t318)) % 1.01/1.24 (step @p264 :rule refl :args (@t319)) % 1.01/1.24 (step @p265 :rule eq-symm :args (@t314 @t86)) % 1.01/1.24 (step @p266 :rule cong :premises (@p265) :args (@t320)) % 1.01/1.24 (step @p267 :rule refl :args (@t321)) % 1.01/1.24 (step @p268 :rule nary_cong :premises (@p267 @p266 @p264) :args (@t322)) % 1.01/1.24 (step @p269 :rule cong :premises (@p268) :args (@t323)) % 1.01/1.24 (step @p270 :rule cong :premises (@p269) :args (@t324)) % 1.01/1.24 (step @p271 :rule nary_cong :premises (@p270 @p263) :args (@t325)) % 1.01/1.24 (step @p272 :rule refl :args (@t326)) % 1.01/1.24 (step @p273 :rule cong :premises (@p272 @p271) :args (@t327)) % 1.01/1.24 (step @p274 :rule refl :args (@t328)) % 1.01/1.24 (step @p275 :rule cong :premises (@p274 @p273) :args ((=> @t328 @t327))) % 1.01/1.24 (assume-push @p547 @t328) % 1.01/1.24 (step @p277 :rule instantiate :premises (@p262) :args ((@list @t315 @t317 @t314))) % 1.01/1.24 (step-pop @p548 :rule scope :premises (@p277)) % 1.01/1.24 (step @p278 :rule process_scope :premises (@p548) :args (@t327)) % 1.01/1.24 (step @p280 :rule eq_resolve :premises (@p278 @p275)) % 1.01/1.24 (step @p281 :rule implies_elim :premises (@p280)) % 1.01/1.24 (step @p282 :rule chain_m_resolution :premises (@p281 @p262) :args (@t332 @t333 @t334)) % 1.01/1.24 (step @p283 :rule refl :args (@t346)) % 1.01/1.24 (step @p284 :rule refl :args (@t347)) % 1.01/1.24 (step @p285 :rule eq-symm :args (@t342 @t86)) % 1.01/1.24 (step @p286 :rule cong :premises (@p285) :args (@t348)) % 1.01/1.24 (step @p287 :rule refl :args (@t349)) % 1.01/1.24 (step @p288 :rule nary_cong :premises (@p287 @p286 @p284) :args (@t350)) % 1.01/1.24 (step @p289 :rule cong :premises (@p288) :args (@t351)) % 1.01/1.24 (step @p290 :rule cong :premises (@p289) :args (@t352)) % 1.01/1.24 (step @p291 :rule nary_cong :premises (@p290 @p283) :args (@t353)) % 1.01/1.24 (step @p292 :rule refl :args (@t354)) % 1.01/1.24 (step @p293 :rule cong :premises (@p292 @p291) :args (@t355)) % 1.01/1.24 (step @p294 :rule cong :premises (@p274 @p293) :args ((=> @t328 @t355))) % 1.01/1.24 (assume-push @p549 @t328) % 1.01/1.24 (step @p296 :rule instantiate :premises (@p262) :args ((@list @t343 @t345 @t342))) % 1.01/1.24 (step-pop @p550 :rule scope :premises (@p296)) % 1.01/1.24 (step @p297 :rule process_scope :premises (@p550) :args (@t355)) % 1.01/1.24 (step @p299 :rule eq_resolve :premises (@p297 @p294)) % 1.01/1.24 (step @p300 :rule implies_elim :premises (@p299)) % 1.01/1.24 (step @p301 :rule chain_m_resolution :premises (@p300 @p262) :args (@t357 @t333 @t334)) % 1.01/1.24 (step @p302 :rule eq-symm :args (@t242 @t219)) % 1.01/1.24 (step @p303 :rule cong :premises (@p302) :args (@t243)) % 1.01/1.24 (step @p304 :rule eq_resolve :premises (@p181 @p303)) % 1.01/1.24 (step @p305 :rule instantiate :premises (@p304) :args ((@list @t341))) % 1.01/1.24 (step @p306 :rule refl :args (@t343)) % 1.01/1.24 (step @p307 :rule cong :premises (@p306 @p305) :args (@t344)) % 1.01/1.24 (step @p308 :rule instantiate :premises (@p304) :args ((@list @t344))) % 1.01/1.24 (step @p309 :rule symm :premises (@p308)) % 1.01/1.24 (step @p310 :rule trans :premises (@p309 @p307)) % 1.01/1.24 (step @p311 :rule cnf_or_neg :args (@t356 1)) % 1.01/1.24 (step @p312 :rule chain_m_resolution :premises (@p311 @p310) :args (@t356 @t333 (@list @t346))) % 1.01/1.24 (step @p313 :rule cnf_equiv_pos2 :args (@t357)) % 1.01/1.24 (step @p314 :rule reordering :premises (@p313) :args ((or @t354 (not @t356) (not @t357)))) % 1.01/1.24 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p301) :args (@t354 @t358 (@list @t356 @t357))) % 1.01/1.24 (step @p316 :rule refl :args (@t359)) % 1.01/1.24 (step @p317 :rule bool-double-not-elim :args (@t340)) % 1.01/1.24 (step @p318 :rule nary_cong :premises (@p317 @p316) :args ((or (not @t360) @t359))) % 1.01/1.24 (assume-push @p551 @t360) % 1.01/1.24 (step @p320 :rule skolemize :premises (@p551)) 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1.01/1.24 (step @p513 :rule cong :premises (@p512) :args (@t247)) % 1.01/1.24 (step @p514 :rule eq_resolve :premises (@p182 @p513)) % 1.01/1.24 (step @p515 :rule instantiate :premises (@p514) :args ((@list @t312 @t311 @t316))) % 1.01/1.24 (step @p516 :rule bool-double-not-elim :args (@t458)) % 1.01/1.24 (step @p517 :rule nary_cong :premises (@p500 @p516) :args ((or @t460 (not @t459)))) % 1.01/1.24 (step @p518 :rule cnf_or_neg :args (@t460 1)) % 1.01/1.24 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 1.01/1.24 (step @p520 :rule reordering :premises (@p519) :args ((or @t458 @t460))) % 1.01/1.24 (step @p521 :rule chain_m_resolution :premises (@p520 @p486) :args (@t458 @t374 @t462)) % 1.01/1.24 (step @p522 :rule cnf_or_pos :args (@t469)) % 1.01/1.24 (step @p523 :rule reordering :premises (@p522) :args ((or @t459 @t468 (not @t469)))) % 1.01/1.24 (step @p524 :rule chain_m_resolution :premises (@p523 @p521 @p515) :args (@t468 @t358 (@list @t458 @t469))) % 1.01/1.24 (step @p525 :rule instantiate :premises (@p514) :args ((@list @t312 @t311 @t310))) % 1.01/1.24 (step @p526 :rule cnf_or_pos :args (@t472)) % 1.01/1.24 (step @p527 :rule reordering :premises (@p526) :args ((or @t459 @t471 (not @t472)))) % 1.01/1.24 (step @p528 :rule chain_m_resolution :premises (@p527 @p521 @p525) :args (@t471 @t358 (@list @t458 @t472))) % 1.01/1.24 (step @p529 :rule cnf_or_pos :args (@t476)) % 1.01/1.24 (step @p530 :rule reordering :premises (@p529) :args ((or @t474 @t475 @t473 @t477))) % 1.01/1.24 (step @p531 :rule chain_m_resolution :premises (@p530 @p528 @p524 @p511) :args (@t477 (@list false false false) (@list @t471 @t468 @t466))) % 1.01/1.24 (step @p532 :rule refl :args (@t473)) % 1.01/1.24 (step @p533 :rule eq-symm :args (@t470 @t314)) % 1.01/1.24 (step @p534 :rule cong :premises (@p533) :args (@t478)) % 1.01/1.24 (step @p535 :rule eq-symm :args (@t467 @t317)) % 1.01/1.24 (step @p536 :rule cong :premises (@p535) :args (@t479)) % 1.01/1.24 (step @p537 :rule nary_cong :premises (@p536 @p534 @p532) :args (@t480)) % 1.01/1.24 (step @p538 :rule refl :args (@t329)) % 1.01/1.24 (step @p539 :rule cong :premises (@p538 @p537) :args ((=> @t329 @t480))) % 1.01/1.24 (assume-push @p557 @t329) % 1.01/1.24 (step @p541 :rule instantiate :premises (@p557) :args ((@list @t312 @t465 @t464))) % 1.01/1.24 (step-pop @p558 :rule scope :premises (@p541)) % 1.01/1.24 (step @p542 :rule process_scope :premises (@p558) :args (@t480)) % 1.01/1.24 (step @p544 :rule eq_resolve :premises (@p542 @p539)) % 1.01/1.24 (step @p545 :rule implies_elim :premises (@p544)) % 1.01/1.24 (step @p546 false :rule chain_m_resolution :premises (@p545 @p531 @p498) :args (false @t455 (@list @t476 @t329))) % 1.01/1.24 ) % 1.01/1.24 % SZS output end Proof % 1.01/1.24 % cvc5 exiting %------------------------------------------------------------------------------