%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX038+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:07:01 AM UTC 2026 % Result : Theorem 34.30s 34.65s % Output : Proof 34.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX038+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:54:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.30/34.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.30/34.65 --- Run --no-e-matching --full-saturate-quant at 6... % 34.30/34.65 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.30/34.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.30/34.65 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.30/34.65 % SZS status Theorem % 34.30/34.65 % SZS output start Proof % 34.30/34.65 ( % 34.30/34.65 (declare-sort $$unsorted 0) % 34.30/34.65 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 34.30/34.65 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 34.30/34.65 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const tptp.gr (-> $$unsorted Bool)) % 34.30/34.65 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const |tptp.'0'| $$unsorted) % 34.30/34.65 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 34.30/34.65 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 34.30/34.65 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 34.30/34.65 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 34.30/34.65 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 34.30/34.65 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 34.30/34.65 (define @t1 () (@var "Xx3" $$unsorted)) % 34.30/34.65 (define @t2 () (tptp.s @t1)) % 34.30/34.65 (define @t3 () (@var "Xx5" $$unsorted)) % 34.30/34.65 (define @t4 () (@var "Xx4" $$unsorted)) % 34.30/34.65 (define @t5 () (tptp.s @t3)) % 34.30/34.65 (define @t6 () (tptp.s @t4)) % 34.30/34.65 (define @t7 () (@list @t4 @t3)) % 34.30/34.65 (define @t8 () (@var "Xx6" $$unsorted)) % 34.30/34.65 (define @t9 () (@var "Xx9" $$unsorted)) % 34.30/34.65 (define @t10 () (@var "Xx8" $$unsorted)) % 34.30/34.65 (define @t11 () (@var "Xx7" $$unsorted)) % 34.30/34.65 (define @t12 () (tptp.times_fails @t11 @t10 @t9)) % 34.30/34.65 (define @t13 () (tptp.times_succeeds @t11 @t10 @t9)) % 34.30/34.65 (define @t14 () (@list @t11 @t10 @t9)) % 34.30/34.65 (define @t15 () (@var "Xx12" $$unsorted)) % 34.30/34.65 (define @t16 () (@var "Xx11" $$unsorted)) % 34.30/34.65 (define @t17 () (@var "Xx10" $$unsorted)) % 34.30/34.65 (define @t18 () (tptp.plus_fails @t17 @t16 @t15)) % 34.30/34.65 (define @t19 () (tptp.plus_succeeds @t17 @t16 @t15)) % 34.30/34.65 (define @t20 () (@list @t17 @t16 @t15)) % 34.30/34.65 (define @t21 () (@var "Xx14" $$unsorted)) % 34.30/34.65 (define @t22 () (@var "Xx13" $$unsorted)) % 34.30/34.65 (define @t23 () (|tptp.'@=<_fails'| @t22 @t21)) % 34.30/34.65 (define @t24 () (|tptp.'@=<_succeeds'| @t22 @t21)) % 34.30/34.65 (define @t25 () (@list @t22 @t21)) % 34.30/34.65 (define @t26 () (@var "Xx16" $$unsorted)) % 34.30/34.65 (define @t27 () (@var "Xx15" $$unsorted)) % 34.30/34.65 (define @t28 () (|tptp.'@<_fails'| @t27 @t26)) % 34.30/34.65 (define @t29 () (|tptp.'@<_succeeds'| @t27 @t26)) % 34.30/34.65 (define @t30 () (@list @t27 @t26)) % 34.30/34.65 (define @t31 () (@var "Xx17" $$unsorted)) % 34.30/34.65 (define @t32 () (tptp.nat_fails @t31)) % 34.30/34.65 (define @t33 () (tptp.nat_succeeds @t31)) % 34.30/34.65 (define @t34 () (@list @t31)) % 34.30/34.65 (define @t35 () (= @t1 |tptp.'0'|)) % 34.30/34.65 (define @t36 () (@var "Xx1" $$unsorted)) % 34.30/34.65 (define @t37 () (= @t36 |tptp.'0'|)) % 34.30/34.65 (define @t38 () (@var "Xx2" $$unsorted)) % 34.30/34.65 (define @t39 () (= @t36 @t6)) % 34.30/34.65 (define @t40 () (@list @t36 @t38 @t1)) % 34.30/34.65 (define @t41 () (not @t37)) % 34.30/34.65 (define @t42 () (tptp.times_fails @t4 @t38 @t3)) % 34.30/34.65 (define @t43 () (not @t39)) % 34.30/34.65 (define @t44 () (or @t41 true)) % 34.30/34.65 (define @t45 () (= @t1 @t38)) % 34.30/34.65 (define @t46 () (= @t1 @t5)) % 34.30/34.65 (define @t47 () (not @t46)) % 34.30/34.65 (define @t48 () (= @t38 @t6)) % 34.30/34.65 (define @t49 () (= @t36 @t2)) % 34.30/34.65 (define @t50 () (@list @t1 @t4)) % 34.30/34.65 (define @t51 () (@list @t36 @t38)) % 34.30/34.65 (define @t52 () (not @t48)) % 34.30/34.65 (define @t53 () (not @t49)) % 34.30/34.65 (define @t54 () (= @t38 @t5)) % 34.30/34.65 (define @t55 () (@list @t3)) % 34.30/34.65 (define @t56 () (tptp.nat_succeeds @t38)) % 34.30/34.65 (define @t57 () (tptp.s @t38)) % 34.30/34.65 (define @t58 () (= @t36 @t57)) % 34.30/34.65 (define @t59 () (and @t58 @t56)) % 34.30/34.65 (define @t60 () (@list @t38)) % 34.30/34.65 (define @t61 () (exists @t60 @t59)) % 34.30/34.65 (define @t62 () (or @t61 @t37)) % 34.30/34.65 (define @t63 () (tptp.nat_succeeds @t36)) % 34.30/34.65 (define @t64 () (= @t63 @t62)) % 34.30/34.65 (define @t65 () (@list @t36)) % 34.30/34.65 (define @t66 () (forall @t65 @t64)) % 34.30/34.65 (define @t67 () (not @t58)) % 34.30/34.65 (define @t68 () (@var "Xz" $$unsorted)) % 34.30/34.65 (define @t69 () (@var "Xy" $$unsorted)) % 34.30/34.65 (define @t70 () (@var "Xx" $$unsorted)) % 34.30/34.65 (define @t71 () (tptp.plus_succeeds @t70 @t69 @t68)) % 34.30/34.65 (define @t72 () (|tptp.'@+'| @t70 @t69)) % 34.30/34.65 (define @t73 () (tptp.nat_succeeds @t70)) % 34.30/34.65 (define @t74 () (@list @t70 @t69 @t68)) % 34.30/34.65 (define @t75 () (tptp.times_succeeds @t70 @t69 @t68)) % 34.30/34.65 (define @t76 () (|tptp.'@*'| @t70 @t69)) % 34.30/34.65 (define @t77 () (tptp.nat_succeeds @t69)) % 34.30/34.65 (define @t78 () (and @t73 @t77)) % 34.30/34.65 (define @t79 () (@list @t70)) % 34.30/34.65 (define @t80 () (tptp.gr @t70)) % 34.30/34.65 (define @t81 () (tptp.plus_terminates @t70 @t69 @t68)) % 34.30/34.65 (define @t82 () (tptp.nat_succeeds @t68)) % 34.30/34.65 (define @t83 () (tptp.gr @t68)) % 34.30/34.65 (define @t84 () (tptp.gr @t69)) % 34.30/34.65 (define @t85 () (@list @t68)) % 34.30/34.65 (define @t86 () (@list @t70 @t69)) % 34.30/34.65 (define @t87 () (@var "Xz2" $$unsorted)) % 34.30/34.65 (define @t88 () (@var "Xz1" $$unsorted)) % 34.30/34.65 (define @t89 () (= @t88 @t87)) % 34.30/34.65 (define @t90 () (@list @t70 @t69 @t88 @t87)) % 34.30/34.65 (define @t91 () (@list @t69)) % 34.30/34.65 (define @t92 () (tptp.s @t70)) % 34.30/34.65 (define @t93 () (|tptp.'@+'| @t92 @t69)) % 34.30/34.65 (define @t94 () (= @t93 (tptp.s @t72))) % 34.30/34.65 (define @t95 () (forall @t86 (=> @t73 @t94))) % 34.30/34.65 (define @t96 () (= (|tptp.'@+'| @t72 @t68) (|tptp.'@+'| @t70 (|tptp.'@+'| @t69 @t68)))) % 34.30/34.65 (define @t97 () (and @t73 @t77 @t82)) % 34.30/34.65 (define @t98 () (forall @t74 (=> @t97 @t96))) % 34.30/34.65 (define @t99 () (|tptp.'@+'| @t70 |tptp.'0'|)) % 34.30/34.65 (define @t100 () (=> @t73 (= @t99 @t70))) % 34.30/34.65 (define @t101 () (forall @t79 @t100)) % 34.30/34.65 (define @t102 () (|tptp.'@+'| @t70 (tptp.s @t69))) % 34.30/34.65 (define @t103 () (=> @t78 (= @t102 @t93))) % 34.30/34.65 (define @t104 () (forall @t86 @t103)) % 34.30/34.65 (define @t105 () (|tptp.'@*'| |tptp.'0'| @t69)) % 34.30/34.65 (define @t106 () (=> @t77 (= @t105 |tptp.'0'|))) % 34.30/34.65 (define @t107 () (forall @t91 @t106)) % 34.30/34.65 (define @t108 () (= (|tptp.'@*'| @t92 @t69) (|tptp.'@+'| @t69 @t76))) % 34.30/34.65 (define @t109 () (forall @t86 (=> @t78 @t108))) % 34.30/34.65 (define @t110 () (tptp.nat_succeeds @t76)) % 34.30/34.65 (define @t111 () (forall @t86 (=> @t78 @t110))) % 34.30/34.65 (define @t112 () (|tptp.'@*'| @t69 @t68)) % 34.30/34.65 (define @t113 () (|tptp.'@*'| @t70 |tptp.'0'|)) % 34.30/34.65 (define @t114 () (=> @t73 (= @t113 |tptp.'0'|))) % 34.30/34.65 (define @t115 () (forall @t79 @t114)) % 34.30/34.65 (define @t116 () (= (|tptp.'@+'| (|tptp.'@*'| @t69 @t70) @t69) (|tptp.'@*'| @t69 @t92))) % 34.30/34.65 (define @t117 () (forall @t79 (=> @t73 @t116))) % 34.30/34.65 (define @t118 () (=> @t77 @t117)) % 34.30/34.65 (define @t119 () (forall @t91 @t118)) % 34.30/34.65 (define @t120 () (= (|tptp.'@+'| (|tptp.'@*'| @t38 @t70) @t38) (|tptp.'@*'| @t38 @t92))) % 34.30/34.65 (define @t121 () (forall @t79 (=> @t73 @t120))) % 34.30/34.65 (define @t122 () (and (= @t69 @t57) @t56 @t121)) % 34.30/34.65 (define @t123 () (exists @t60 @t122)) % 34.30/34.65 (define @t124 () (or @t123 (= @t69 |tptp.'0'|))) % 34.30/34.65 (define @t125 () (=> @t124 @t117)) % 34.30/34.65 (define @t126 () (forall @t91 @t125)) % 34.30/34.65 (define @t127 () (=> @t126 @t119)) % 34.30/34.65 (define @t128 () (and @t77 @t73)) % 34.30/34.65 (define @t129 () (@list @t69 @t70)) % 34.30/34.65 (define @t130 () (forall @t129 (=> @t128 @t116))) % 34.30/34.65 (define @t131 () (not @t130)) % 34.30/34.65 (define @t132 () (not @t73)) % 34.30/34.65 (define @t133 () (not @t77)) % 34.30/34.65 (define @t134 () (or @t133 @t132 @t116)) % 34.30/34.65 (define @t135 () (@var "BOUND_VARIABLE_8275" $$unsorted)) % 34.30/34.65 (define @t136 () (= (|tptp.'@+'| (|tptp.'@*'| @t69 @t135) @t69) (|tptp.'@*'| @t69 (tptp.s @t135)))) % 34.30/34.65 (define @t137 () (not (tptp.nat_succeeds @t135))) % 34.30/34.65 (define @t138 () (= |tptp.'0'| @t69)) % 34.30/34.65 (define @t139 () (not @t138)) % 34.30/34.65 (define @t140 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 34.30/34.65 (define @t141 () (not (forall @t79 (or @t132 (= (|tptp.'@+'| (|tptp.'@*'| @t140 @t70) @t140) (|tptp.'@*'| @t140 @t92)))))) % 34.30/34.65 (define @t142 () (not (tptp.nat_succeeds @t140))) % 34.30/34.65 (define @t143 () (tptp.s @t140)) % 34.30/34.65 (define @t144 () (@list @t69 @t140 @t135)) % 34.30/34.65 (define @t145 () (forall @t144 (or (and (or (not (= @t69 @t143)) @t142 @t141) @t139) @t137 @t136))) % 34.30/34.65 (define @t146 () (@quantifiers_skolemize @t145 2)) % 34.30/34.65 (define @t147 () (tptp.s @t146)) % 34.30/34.65 (define @t148 () (@quantifiers_skolemize @t145 0)) % 34.30/34.65 (define @t149 () (|tptp.'@*'| @t148 @t147)) % 34.30/34.65 (define @t150 () (|tptp.'@*'| @t148 @t146)) % 34.30/34.65 (define @t151 () (|tptp.'@+'| @t150 @t148)) % 34.30/34.65 (define @t152 () (= @t151 @t149)) % 34.30/34.65 (define @t153 () (tptp.nat_succeeds @t146)) % 34.30/34.65 (define @t154 () (not @t153)) % 34.30/34.65 (define @t155 () (= |tptp.'0'| @t148)) % 34.30/34.65 (define @t156 () (not @t155)) % 34.30/34.65 (define @t157 () (@quantifiers_skolemize @t145 1)) % 34.30/34.65 (define @t158 () (forall @t79 (or @t132 (= (|tptp.'@+'| (|tptp.'@*'| @t157 @t70) @t157) (|tptp.'@*'| @t157 @t92))))) % 34.30/34.65 (define @t159 () (not @t158)) % 34.30/34.65 (define @t160 () (tptp.nat_succeeds @t157)) % 34.30/34.65 (define @t161 () (not @t160)) % 34.30/34.65 (define @t162 () (tptp.s @t157)) % 34.30/34.65 (define @t163 () (= @t148 @t162)) % 34.30/34.65 (define @t164 () (not @t163)) % 34.30/34.65 (define @t165 () (or @t164 @t161 @t159)) % 34.30/34.65 (define @t166 () (and @t165 @t156)) % 34.30/34.65 (define @t167 () (or @t166 @t154 @t152)) % 34.30/34.65 (define @t168 () (= |tptp.'0'| @t105)) % 34.30/34.65 (define @t169 () (@list @t146)) % 34.30/34.65 (define @t170 () (|tptp.'@*'| |tptp.'0'| @t146)) % 34.30/34.65 (define @t171 () (= |tptp.'0'| @t170)) % 34.30/34.65 (define @t172 () (or @t154 @t171)) % 34.30/34.65 (define @t173 () (not (= @t147 @t147))) % 34.30/34.65 (define @t174 () (or @t173 @t154)) % 34.30/34.65 (define @t175 () (not @t56)) % 34.30/34.65 (define @t176 () (forall @t60 (or (not (= @t57 @t147)) @t175))) % 34.30/34.65 (define @t177 () (not @t176)) % 34.30/34.65 (define @t178 () (= |tptp.'0'| @t147)) % 34.30/34.65 (define @t179 () (or @t177 @t178)) % 34.30/34.65 (define @t180 () (forall @t60 (not @t59))) % 34.30/34.65 (define @t181 () (not @t180)) % 34.30/34.65 (define @t182 () (not (= @t147 @t57))) % 34.30/34.65 (define @t183 () (or @t182 @t175)) % 34.30/34.65 (define @t184 () (forall @t60 @t183)) % 34.30/34.65 (define @t185 () (not @t184)) % 34.30/34.65 (define @t186 () (or @t185 @t178)) % 34.30/34.65 (define @t187 () (tptp.nat_succeeds @t147)) % 34.30/34.65 (define @t188 () (= @t187 @t186)) % 34.30/34.65 (define @t189 () (forall @t65 (= @t63 (or (not (forall @t60 (or @t67 @t175))) (= |tptp.'0'| @t36))))) % 34.30/34.65 (define @t190 () (@list @t147)) % 34.30/34.65 (define @t191 () (= @t187 @t179)) % 34.30/34.65 (define @t192 () (@list false)) % 34.30/34.65 (define @t193 () (@list @t189)) % 34.30/34.65 (define @t194 () (|tptp.'@*'| |tptp.'0'| @t147)) % 34.30/34.65 (define @t195 () (= |tptp.'0'| @t194)) % 34.30/34.65 (define @t196 () (not @t187)) % 34.30/34.65 (define @t197 () (or @t196 @t195)) % 34.30/34.65 (define @t198 () (forall @t86 (or @t132 @t94))) % 34.30/34.65 (define @t199 () (|tptp.'@*'| @t157 @t146)) % 34.30/34.65 (define @t200 () (|tptp.'@+'| @t146 @t199)) % 34.30/34.65 (define @t201 () (|tptp.'@+'| @t147 @t199)) % 34.30/34.65 (define @t202 () (= @t201 (tptp.s @t200))) % 34.30/34.65 (define @t203 () (or @t154 @t202)) % 34.30/34.65 (define @t204 () (@list @t157)) % 34.30/34.65 (define @t205 () (= |tptp.'0'| @t162)) % 34.30/34.65 (define @t206 () (not @t205)) % 34.30/34.65 (define @t207 () (and @t163 @t206)) % 34.30/34.65 (define @t208 () (not @t165)) % 34.30/34.65 (define @t209 () (or @t132 @t133)) % 34.30/34.65 (define @t210 () (not @t78)) % 34.30/34.65 (define @t211 () (@list @t157 @t146)) % 34.30/34.65 (define @t212 () (= (|tptp.'@*'| @t162 @t146) @t200)) % 34.30/34.65 (define @t213 () (or @t161 @t154 @t212)) % 34.30/34.65 (define @t214 () (or @t164 @t161)) % 34.30/34.65 (define @t215 () (|tptp.'@*'| @t157 @t147)) % 34.30/34.65 (define @t216 () (|tptp.'@*'| @t162 @t147)) % 34.30/34.65 (define @t217 () (= @t216 (|tptp.'@+'| @t147 @t215))) % 34.30/34.65 (define @t218 () (or @t161 @t196 @t217)) % 34.30/34.65 (define @t219 () (tptp.nat_succeeds @t199)) % 34.30/34.65 (define @t220 () (or @t161 @t154 @t219)) % 34.30/34.65 (define @t221 () (|tptp.'@+'| @t199 @t157)) % 34.30/34.65 (define @t222 () (or @t154 (= @t221 @t215))) % 34.30/34.65 (define @t223 () (not (= @t162 @t148))) % 34.30/34.65 (define @t224 () (or @t223 @t161)) % 34.30/34.65 (define @t225 () (forall @t60 (or (not (= @t57 @t148)) @t175))) % 34.30/34.65 (define @t226 () (not @t82)) % 34.30/34.65 (define @t227 () (or @t132 @t133 @t226)) % 34.30/34.65 (define @t228 () (|tptp.'@+'| @t147 @t221)) % 34.30/34.65 (define @t229 () (= (|tptp.'@+'| @t201 @t157) @t228)) % 34.30/34.65 (define @t230 () (not @t219)) % 34.30/34.65 (define @t231 () (or @t196 @t230 @t161 @t229)) % 34.30/34.65 (define @t232 () (= @t215 @t221)) % 34.30/34.65 (define @t233 () (or @t154 @t232)) % 34.30/34.65 (define @t234 () (not @t225)) % 34.30/34.65 (define @t235 () (or @t234 @t155)) % 34.30/34.65 (define @t236 () (not (= @t148 @t57))) % 34.30/34.65 (define @t237 () (or @t236 @t175)) % 34.30/34.65 (define @t238 () (forall @t60 @t237)) % 34.30/34.65 (define @t239 () (not @t238)) % 34.30/34.65 (define @t240 () (or @t239 @t155)) % 34.30/34.65 (define @t241 () (tptp.nat_succeeds @t148)) % 34.30/34.65 (define @t242 () (= @t241 @t240)) % 34.30/34.65 (define @t243 () (@list @t148)) % 34.30/34.65 (define @t244 () (= @t241 @t235)) % 34.30/34.65 (define @t245 () (tptp.nat_succeeds @t150)) % 34.30/34.65 (define @t246 () (not @t241)) % 34.30/34.65 (define @t247 () (or @t246 @t154 @t245)) % 34.30/34.65 (define @t248 () (= @t93 @t102)) % 34.30/34.65 (define @t249 () (tptp.s @t150)) % 34.30/34.65 (define @t250 () (|tptp.'@+'| @t249 @t157)) % 34.30/34.65 (define @t251 () (= @t250 (|tptp.'@+'| @t150 @t162))) % 34.30/34.65 (define @t252 () (not @t245)) % 34.30/34.65 (define @t253 () (or @t252 @t161 @t251)) % 34.30/34.65 (define @t254 () (and @t163 @t251 @t217 @t212 @t232 @t202 @t229)) % 34.30/34.65 (define @t255 () (= @t70 @t99)) % 34.30/34.65 (define @t256 () (|tptp.'@+'| @t148 |tptp.'0'|)) % 34.30/34.65 (define @t257 () (= @t148 @t256)) % 34.30/34.65 (define @t258 () (or @t246 @t257)) % 34.30/34.65 (define @t259 () (forall @t129 @t134)) % 34.30/34.65 (define @t260 () (@quantifiers_skolemize @t259 0)) % 34.30/34.65 (define @t261 () (@list @t260)) % 34.30/34.65 (define @t262 () (tptp.nat_succeeds @t260)) % 34.30/34.65 (define @t263 () (@quantifiers_skolemize @t259 1)) % 34.30/34.65 (define @t264 () (not @t262)) % 34.30/34.65 (define @t265 () (or @t264 (not (tptp.nat_succeeds @t263)) (= (|tptp.'@+'| (|tptp.'@*'| @t260 @t263) @t260) (|tptp.'@*'| @t260 (tptp.s @t263))))) % 34.30/34.65 (define @t266 () (= |tptp.'0'| (|tptp.'@*'| |tptp.'0'| @t260))) % 34.30/34.65 (define @t267 () (or @t264 @t266)) % 34.30/34.65 (define @t268 () (@list false false)) % 34.30/34.65 (define @t269 () (= |tptp.'0'| @t113)) % 34.30/34.65 (define @t270 () (= |tptp.'0'| (|tptp.'@*'| @t260 |tptp.'0'|))) % 34.30/34.65 (define @t271 () (or @t264 @t270)) % 34.30/34.65 (define @t272 () (not @t195)) % 34.30/34.65 (define @t273 () (not @t257)) % 34.30/34.65 (define @t274 () (not @t270)) % 34.30/34.65 (define @t275 () (not @t171)) % 34.30/34.65 (define @t276 () (not @t266)) % 34.30/34.65 (define @t277 () (not @t152)) % 34.30/34.65 (define @t278 () (= |tptp.'0'| @t151)) % 34.30/34.65 (define @t279 () (= |tptp.'0'| @t149)) % 34.30/34.65 (define @t280 () (and @t266 @t278 @t279 @t277)) % 34.30/34.65 (define @t281 () (not @t167)) % 34.30/34.65 (define @t282 () (not @t145)) % 34.30/34.65 (define @t283 () (@var "BOUND_VARIABLE_8299" $$unsorted)) % 34.30/34.65 (define @t284 () (= (|tptp.'@+'| (|tptp.'@*'| @t69 @t283) @t69) (|tptp.'@*'| @t69 (tptp.s @t283)))) % 34.30/34.65 (define @t285 () (not (tptp.nat_succeeds @t283))) % 34.30/34.65 (define @t286 () (or @t133 @t285 @t284)) % 34.30/34.65 (define @t287 () (or @t285 @t284)) % 34.30/34.65 (define @t288 () (or @t133 @t287)) % 34.30/34.65 (define @t289 () (@list @t69 @t283)) % 34.30/34.65 (define @t290 () (forall @t289 @t288)) % 34.30/34.65 (define @t291 () (@list @t283)) % 34.30/34.65 (define @t292 () (forall @t291 @t288)) % 34.30/34.65 (define @t293 () (forall @t291 @t287)) % 34.30/34.65 (define @t294 () (@list @t70)) % 34.30/34.65 (define @t295 () (or @t133 @t293)) % 34.30/34.65 (define @t296 () (forall @t79 (or @t132 @t116))) % 34.30/34.65 (define @t297 () (not (= @t143 @t69))) % 34.30/34.65 (define @t298 () (or @t297 @t142 @t141)) % 34.30/34.65 (define @t299 () (and @t298 @t139)) % 34.30/34.65 (define @t300 () (or @t299 @t137 @t136)) % 34.30/34.65 (define @t301 () (or @t137 @t136)) % 34.30/34.65 (define @t302 () (or @t299 @t301)) % 34.30/34.65 (define @t303 () (forall @t144 @t302)) % 34.30/34.65 (define @t304 () (forall (@list @t140 @t135) @t302)) % 34.30/34.65 (define @t305 () (forall (@list @t135) @t301)) % 34.30/34.65 (define @t306 () (@list @t140)) % 34.30/34.65 (define @t307 () (forall @t306 @t139)) % 34.30/34.65 (define @t308 () (forall @t306 @t298)) % 34.30/34.65 (define @t309 () (and @t308 @t307)) % 34.30/34.65 (define @t310 () (forall @t306 @t299)) % 34.30/34.65 (define @t311 () (or @t310 @t305)) % 34.30/34.65 (define @t312 () (forall @t79 (or @t132 @t120))) % 34.30/34.65 (define @t313 () (not @t312)) % 34.30/34.65 (define @t314 () (= @t57 @t69)) % 34.30/34.65 (define @t315 () (not @t314)) % 34.30/34.65 (define @t316 () (or @t315 @t175 @t313)) % 34.30/34.65 (define @t317 () (forall @t60 @t316)) % 34.30/34.65 (define @t318 () (not @t317)) % 34.30/34.65 (define @t319 () (or @t318 @t138)) % 34.30/34.65 (define @t320 () (and @t314 @t56 @t312)) % 34.30/34.65 (define @t321 () (forall @t60 (not @t320))) % 34.30/34.65 (define @t322 () (not @t321)) % 34.30/34.65 (define @t323 () (forall @t289 @t286)) % 34.30/34.65 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 34.30/34.65 (assume @p2 (forall @t7 (=> (= @t6 @t5) (= @t4 @t3)))) % 34.30/34.65 (assume @p3 (tptp.gr |tptp.'0'|)) % 34.30/34.65 (assume @p4 (forall (@list @t8) (= (tptp.gr @t8) (tptp.gr (tptp.s @t8))))) % 34.30/34.65 (assume @p5 (forall @t14 (not (and @t13 @t12)))) % 34.30/34.65 (assume @p6 (forall @t14 (=> (tptp.times_terminates @t11 @t10 @t9) (or @t13 @t12)))) % 34.30/34.65 (assume @p7 (forall @t20 (not (and @t19 @t18)))) % 34.30/34.65 (assume @p8 (forall @t20 (=> (tptp.plus_terminates @t17 @t16 @t15) (or @t19 @t18)))) % 34.30/34.65 (assume @p9 (forall @t25 (not (and @t24 @t23)))) % 34.30/34.65 (assume @p10 (forall @t25 (=> (|tptp.'@=<_terminates'| @t22 @t21) (or @t24 @t23)))) % 34.30/34.65 (assume @p11 (forall @t30 (not (and @t29 @t28)))) % 34.30/34.65 (assume @p12 (forall @t30 (=> (|tptp.'@<_terminates'| @t27 @t26) (or @t29 @t28)))) % 34.30/34.65 (assume @p13 (forall @t34 (not (and @t33 @t32)))) % 34.30/34.65 (assume @p14 (forall @t34 (=> (tptp.nat_terminates @t31) (or @t33 @t32)))) % 34.30/34.65 (assume @p15 (forall @t40 (= (tptp.times_succeeds @t36 @t38 @t1) (or (exists @t7 (and @t39 (tptp.times_succeeds @t4 @t38 @t3) (tptp.plus_succeeds @t38 @t3 @t1))) (and @t37 @t35))))) % 34.30/34.65 (assume @p16 (forall @t40 (= (tptp.times_fails @t36 @t38 @t1) (and (forall @t7 (or @t43 @t42 (tptp.plus_fails @t38 @t3 @t1))) (or @t41 (not @t35)))))) % 34.30/34.65 (assume @p17 (forall @t40 (= (tptp.times_terminates @t36 @t38 @t1) (and (forall @t7 (and true (or @t43 (and (tptp.times_terminates @t4 @t38 @t3) (or @t42 (tptp.plus_terminates @t38 @t3 @t1)))))) true @t44)))) % 34.30/34.65 (assume @p18 (forall @t40 (= (tptp.plus_succeeds @t36 @t38 @t1) (or (exists @t7 (and @t39 @t46 (tptp.plus_succeeds @t4 @t38 @t3))) (and @t37 @t45))))) % 34.30/34.65 (assume @p19 (forall @t40 (= (tptp.plus_fails @t36 @t38 @t1) (and (forall @t7 (or @t43 @t47 (tptp.plus_fails @t4 @t38 @t3))) (or @t41 (not @t45)))))) % 34.30/34.65 (assume @p20 (forall @t40 (= (tptp.plus_terminates @t36 @t38 @t1) (and (forall @t7 (and true (or @t43 (and true (or @t47 (tptp.plus_terminates @t4 @t38 @t3)))))) true @t44)))) % 34.30/34.65 (assume @p21 (forall @t51 (= (|tptp.'@=<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@=<_succeeds'| @t1 @t4))) @t37)))) % 34.30/34.65 (assume @p22 (forall @t51 (= (|tptp.'@=<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@=<_fails'| @t1 @t4))) @t41)))) % 34.30/34.65 (assume @p23 (forall @t51 (= (|tptp.'@=<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 34.30/34.65 (assume @p24 (forall @t51 (= (|tptp.'@<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t55 (and @t37 @t54)))))) % 34.30/34.65 (assume @p25 (forall @t51 (= (|tptp.'@<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@<_fails'| @t1 @t4))) (forall @t55 (or @t41 (not @t54))))))) % 34.30/34.65 (assume @p26 (forall @t51 (= (|tptp.'@<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t55 (and true @t44)))))) % 34.30/34.65 (assume @p27 @t66) % 34.30/34.65 (assume @p28 (forall @t65 (= (tptp.nat_fails @t36) (and (forall @t60 (or @t67 (tptp.nat_fails @t38))) @t41)))) % 34.30/34.65 (assume @p29 (forall @t65 (= (tptp.nat_terminates @t36) (and (forall @t60 (and true (or @t67 (tptp.nat_terminates @t38)))) true)))) % 34.30/34.65 (assume @p30 (forall @t74 (=> @t73 (= (= @t72 @t68) @t71)))) % 34.30/34.65 (assume @p31 (forall @t74 (=> @t78 (= (= @t76 @t68) @t75)))) % 34.30/34.65 (assume @p32 (forall @t79 (=> @t73 (tptp.nat_terminates @t70)))) % 34.30/34.65 (assume @p33 (forall @t79 (=> @t73 @t80))) % 34.30/34.65 (assume @p34 (forall @t74 (=> @t73 @t81))) % 34.30/34.65 (assume @p35 (forall @t74 (=> @t82 @t81))) % 34.30/34.65 (assume @p36 (forall @t74 (=> @t71 @t73))) % 34.30/34.65 (assume @p37 (forall @t74 (=> (and @t71 @t77) @t82))) % 34.30/34.65 (assume @p38 (forall @t74 (=> (and @t71 @t82) @t77))) % 34.30/34.65 (assume @p39 (forall @t74 (=> @t71 @t81))) % 34.30/34.65 (assume @p40 (forall @t74 (=> @t71 @t80))) % 34.30/34.65 (assume @p41 (forall @t74 (=> (and @t71 @t84) @t83))) % 34.30/34.65 (assume @p42 (forall @t74 (=> (and @t71 @t83) @t84))) % 34.30/34.65 (assume @p43 (forall @t86 (=> @t73 (exists @t85 @t71)))) % 34.30/34.65 (assume @p44 (forall @t90 (=> (and (tptp.plus_succeeds @t70 @t69 @t88) (tptp.plus_succeeds @t70 @t69 @t87)) @t89))) % 34.30/34.65 (assume @p45 (forall @t91 (= (|tptp.'@+'| |tptp.'0'| @t69) @t69))) % 34.30/34.65 (assume @p46 @t95) % 34.30/34.65 (assume @p47 (forall @t86 (=> @t78 (tptp.nat_succeeds @t72)))) % 34.30/34.65 (assume @p48 @t98) % 34.30/34.65 (assume @p49 @t101) % 34.30/34.65 (assume @p50 @t104) % 34.30/34.65 (assume @p51 (forall @t86 (=> @t78 (= @t72 (|tptp.'@+'| @t69 @t70))))) % 34.30/34.65 (assume @p52 (forall @t74 (=> (and @t73 (= @t72 (|tptp.'@+'| @t70 @t68))) (= @t69 @t68)))) % 34.30/34.65 (assume @p53 (forall @t74 (=> @t75 @t73))) % 34.30/34.65 (assume @p54 (forall @t74 (=> (and @t75 @t77) @t82))) % 34.30/34.65 (assume @p55 (forall @t74 (=> @t75 @t80))) % 34.30/34.65 (assume @p56 (forall @t74 (=> (and @t75 @t84) @t83))) % 34.30/34.65 (assume @p57 (forall @t74 (=> @t78 (tptp.times_terminates @t70 @t69 @t68)))) % 34.30/34.65 (assume @p58 (forall @t86 (=> @t78 (exists @t85 @t75)))) % 34.30/34.65 (assume @p59 (forall @t90 (=> (and (tptp.times_succeeds @t70 @t69 @t88) (tptp.times_succeeds @t70 @t69 @t87)) @t89))) % 34.30/34.65 (assume @p60 @t107) % 34.30/34.65 (assume @p61 @t109) % 34.30/34.65 (assume @p62 @t111) % 34.30/34.65 (assume @p63 (forall @t74 (=> @t97 (= (|tptp.'@*'| @t72 @t68) (|tptp.'@+'| (|tptp.'@*'| @t70 @t68) @t112))))) % 34.30/34.65 (assume @p64 (forall @t74 (=> @t97 (= (|tptp.'@*'| @t76 @t68) (|tptp.'@*'| @t70 @t112))))) % 34.30/34.65 (assume @p65 @t115) % 34.30/34.65 (assume @p66 @t127) % 34.30/34.65 (assume @p67 @t131) % 34.30/34.65 (assume @p68 true) % 34.30/34.65 (step @p69 :rule aci_norm :args ((= (or (or @t133 @t132) @t116) @t134))) % 34.30/34.65 (step @p70 :rule refl :args (@t116)) % 34.30/34.65 (step @p71 :rule bool-and-de-morgan :args (@t77 @t73 true)) % 34.30/34.65 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t128) @t116))) % 34.30/34.65 (step @p73 :rule trans :premises (@p72 @p69)) % 34.30/34.65 (step @p74 :rule bool-impl-elim :args (@t128 @t116)) % 34.30/34.65 (step @p75 :rule trans :premises (@p74 @p73)) % 34.30/34.65 (step @p76 :rule cong :premises (@p75) :args (@t130)) % 34.30/34.65 (step @p77 :rule cong :premises (@p76) :args (@t131)) % 34.30/34.65 (step @p78 :rule eq_resolve :premises (@p67 @p77)) % 34.30/34.65 (step @p79 :rule skolemize :premises (@p78)) % 34.30/34.65 (step @p80 :rule cnf_or_neg :args (@t167 0)) % 34.30/34.65 (step @p81 :rule bool-double-not-elim :args (@t153)) % 34.30/34.65 (step @p82 :rule refl :args (@t167)) % 34.30/34.65 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t167 (not @t154)))) % 34.30/34.65 (step @p84 :rule cnf_or_neg :args (@t167 1)) % 34.30/34.65 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 34.30/34.65 (step @p86 :rule reordering :premises (@p85) :args ((or @t153 @t167))) % 34.30/34.65 (step @p87 :rule cnf_or_neg :args (@t167 2)) % 34.30/34.65 (step @p88 :rule bool-impl-elim :args (@t77 @t168)) % 34.30/34.65 (step @p89 :rule cong :premises (@p88) :args ((forall @t91 (=> @t77 @t168)))) % 34.30/34.65 (step @p90 :rule eq-symm :args (@t105 |tptp.'0'|)) % 34.30/34.65 (step @p91 :rule refl :args (@t77)) % 34.30/34.65 (step @p92 :rule cong :premises (@p91 @p90) :args (@t106)) % 34.30/34.65 (step @p93 :rule cong :premises (@p92) :args (@t107)) % 34.30/34.65 (step @p94 :rule trans :premises (@p93 @p89)) % 34.30/34.65 (step @p95 :rule eq_resolve :premises (@p60 @p94)) % 34.30/34.65 (step @p96 :rule instantiate :premises (@p95) :args (@t169)) % 34.30/34.65 (step @p97 :rule cnf_or_pos :args (@t172)) % 34.30/34.65 (step @p98 :rule reordering :premises (@p97) :args ((or @t154 @t171 (not @t172)))) % 34.30/34.65 (step @p99 :rule aci_norm :args ((= (or false @t154) @t154))) % 34.30/34.65 (step @p100 :rule refl :args (@t154)) % 34.30/34.65 (step @p101 :rule evaluate :args ((not true))) % 34.30/34.65 (step @p102 :rule eq-refl :args (@t147)) % 34.30/34.65 (step @p103 :rule cong :premises (@p102) :args (@t173)) % 34.30/34.65 (step @p104 :rule trans :premises (@p103 @p101)) % 34.30/34.65 (step @p105 :rule nary_cong :premises (@p104 @p100) :args (@t174)) % 34.30/34.65 (step @p106 :rule trans :premises (@p105 @p99)) % 34.30/34.65 (step @p107 :rule refl :args (@t176)) % 34.30/34.65 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t176 @t174))) % 34.30/34.65 (assume-push @p602 @t176) % 34.30/34.65 (step @p110 :rule instantiate :premises (@p602) :args (@t169)) % 34.30/34.65 (step-pop @p603 :rule scope :premises (@p110)) % 34.30/34.65 (step @p111 :rule process_scope :premises (@p603) :args (@t174)) % 34.30/34.65 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 34.30/34.65 (step @p114 :rule implies_elim :premises (@p113)) % 34.30/34.65 (step @p115 :rule reordering :premises (@p114) :args ((or @t154 @t177))) % 34.30/34.65 (step @p116 :rule bool-double-not-elim :args (@t176)) % 34.30/34.65 (step @p117 :rule refl :args (@t179)) % 34.30/34.65 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t179 (not @t177)))) % 34.30/34.65 (step @p119 :rule cnf_or_neg :args (@t179 0)) % 34.30/34.65 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 34.30/34.65 (step @p121 :rule reordering :premises (@p120) :args ((or @t176 @t179))) % 34.30/34.65 (step @p122 :rule eq-symm :args (@t36 |tptp.'0'|)) % 34.30/34.65 (step @p123 :rule bool-and-de-morgan :args (@t58 @t56 true)) % 34.30/34.65 (step @p124 :rule cong :premises (@p123) :args (@t180)) % 34.30/34.65 (step @p125 :rule cong :premises (@p124) :args (@t181)) % 34.30/34.65 (step @p126 :rule exists-elim :args ((= @t61 @t181))) % 34.30/34.65 (step @p127 :rule trans :premises (@p126 @p125)) % 34.30/34.65 (step @p128 :rule nary_cong :premises (@p127 @p122) :args (@t62)) % 34.30/34.65 (step @p129 :rule refl :args (@t63)) % 34.30/34.65 (step @p130 :rule cong :premises (@p129 @p128) :args (@t64)) % 34.30/34.65 (step @p131 :rule cong :premises (@p130) :args (@t66)) % 34.30/34.66 (step @p132 :rule eq_resolve :premises (@p27 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(not @t251) (not @t217) (not @t212) (not @t232) (not @t202) (not @t229)))) % 34.30/34.66 (step @p380 :rule chain_m_resolution :premises (@p379 @p325 @p323 @p309 @p307 @p306 @p304 @p287 @p281 @p279 @p277 @p261 @p249 @p239 @p237 @p228 @p226 @p225 @p223 @p221 @p211 @p206 @p200 @p193 @p167 @p153 @p150 @p132 @p121 @p115 @p166 @p164 @p159) :args ((or @t164 @t166 @t154 @t152) (@list false false false false false false false false false false true false false false false false true false false false false true true true false false false false true false false false) (@list @t251 @t253 @t245 @t247 @t241 @t244 @t235 @t232 @t229 @t231 @t225 @t233 @t219 @t220 @t217 @t218 @t214 @t212 @t213 @t158 @t160 @t165 @t155 @t205 @t187 @t191 @t189 @t179 @t176 @t202 @t203 @t198))) % 34.30/34.66 (step @p381 :rule bool-double-not-elim :args (@t163)) % 34.30/34.66 (step @p382 :rule nary_cong :premises (@p202 @p381) :args ((or @t165 (not @t164)))) % 34.30/34.66 (step @p383 :rule cnf_or_neg :args (@t165 0)) % 34.30/34.66 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 34.30/34.66 (step @p385 :rule reordering :premises (@p384) :args ((or @t163 @t165))) % 34.30/34.66 (step @p386 :rule cnf_or_neg :args (@t235 1)) % 34.30/34.66 (step @p387 :rule reordering :premises (@p386) :args ((or @t156 @t235))) % 34.30/34.66 (step @p388 :rule bool-impl-elim :args (@t73 @t255)) % 34.30/34.66 (step @p389 :rule cong :premises (@p388) :args ((forall @t79 (=> @t73 @t255)))) % 34.30/34.66 (step @p390 :rule eq-symm :args (@t99 @t70)) % 34.30/34.66 (step @p391 :rule refl :args (@t73)) % 34.30/34.66 (step @p392 :rule cong :premises (@p391 @p390) :args (@t100)) % 34.30/34.66 (step @p393 :rule cong :premises (@p392) :args (@t101)) % 34.30/34.66 (step @p394 :rule trans :premises (@p393 @p389)) % 34.30/34.66 (step @p395 :rule eq_resolve :premises (@p49 @p394)) % 34.30/34.66 (step @p396 :rule instantiate :premises (@p395) :args (@t243)) % 34.30/34.66 (step @p397 :rule cnf_or_pos :args (@t258)) % 34.30/34.66 (step @p398 :rule reordering :premises (@p397) :args ((or @t246 @t257 (not @t258)))) % 34.30/34.66 (step @p399 :rule instantiate :premises (@p95) :args (@t261)) % 34.30/34.66 (step @p400 :rule bool-double-not-elim :args (@t262)) % 34.30/34.66 (step @p401 :rule refl :args (@t265)) % 34.30/34.66 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or @t265 (not @t264)))) % 34.30/34.66 (step @p403 :rule cnf_or_neg :args (@t265 0)) % 34.30/34.66 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 34.30/34.66 (step @p405 :rule reordering :premises (@p404) :args ((or @t262 @t265))) % 34.30/34.66 (step @p406 :rule chain_m_resolution :premises (@p405 @p79) :args (@t262 (@list true) (@list @t265))) % 34.30/34.66 (step @p407 :rule cnf_or_pos :args (@t267)) % 34.30/34.66 (step @p408 :rule reordering :premises (@p407) :args ((or @t264 @t266 (not @t267)))) % 34.30/34.66 (step @p409 :rule chain_m_resolution :premises (@p408 @p406 @p399) :args (@t266 @t268 (@list @t262 @t267))) % 34.30/34.66 (step @p410 :rule bool-impl-elim :args (@t73 @t269)) % 34.30/34.66 (step @p411 :rule cong :premises (@p410) :args ((forall @t79 (=> @t73 @t269)))) % 34.30/34.66 (step @p412 :rule eq-symm :args (@t113 |tptp.'0'|)) % 34.30/34.66 (step @p413 :rule cong :premises (@p391 @p412) :args (@t114)) % 34.30/34.66 (step @p414 :rule cong :premises (@p413) :args (@t115)) % 34.30/34.66 (step @p415 :rule trans :premises (@p414 @p411)) % 34.30/34.66 (step @p416 :rule eq_resolve :premises (@p65 @p415)) % 34.30/34.66 (step @p417 :rule instantiate :premises (@p416) :args (@t261)) % 34.30/34.66 (step @p418 :rule cnf_or_pos :args (@t271)) % 34.30/34.66 (step @p419 :rule reordering :premises (@p418) :args ((or @t264 @t270 (not @t271)))) % 34.30/34.66 (step @p420 :rule chain_m_resolution :premises (@p419 @p406 @p417) :args (@t270 @t268 (@list @t262 @t271))) % 34.30/34.66 (step @p421 :rule refl :args (@t272)) % 34.30/34.66 (step @p422 :rule refl :args (@t273)) % 34.30/34.66 (step @p423 :rule refl :args (@t274)) % 34.30/34.66 (step @p424 :rule refl :args (@t275)) % 34.30/34.66 (step @p425 :rule refl :args (@t276)) % 34.30/34.66 (step @p426 :rule bool-double-not-elim :args (@t152)) % 34.30/34.66 (step @p427 :rule nary_cong :premises (@p168 @p426 @p425 @p424 @p423 @p422 @p421) :args ((or @t156 (not @t277) @t276 @t275 @t274 @t273 @t272))) % 34.30/34.66 (assume-push @p650 @t266) % 34.30/34.66 (assume-push @p651 @t278) % 34.30/34.66 (assume-push @p652 @t279) % 34.30/34.66 (assume-push @p653 @t277) % 34.30/34.66 (step @p432 :rule evaluate :args ((= false true))) % 34.30/34.66 (step @p433 :rule symm :premises (@p652)) % 34.30/34.66 (step @p434 :rule trans :premises (@p433 @p409)) % 34.30/34.66 (step @p435 :rule symm :premises (@p434)) % 34.30/34.66 (step @p436 :rule symm :premises (@p651)) % 34.30/34.66 (step @p437 :rule trans :premises (@p436 @p409 @p435)) % 34.30/34.66 (step @p438 :rule true_intro :premises (@p437)) % 34.30/34.66 (step @p439 :rule false_intro :premises (@p653)) % 34.30/34.66 (step @p440 :rule symm :premises (@p439)) % 34.30/34.66 (step @p441 :rule trans :premises (@p440 @p438)) % 34.30/34.66 (step @p442 false :rule eq_resolve :premises (@p441 @p432)) % 34.30/34.66 (step-pop @p654 :rule scope :premises (@p442)) % 34.30/34.66 (step-pop @p655 :rule scope :premises (@p654)) % 34.30/34.66 (step-pop @p656 :rule scope :premises (@p655)) % 34.30/34.66 (step-pop @p657 :rule scope :premises (@p656)) % 34.30/34.66 (step @p443 :rule process_scope :premises (@p657) :args (false)) % 34.30/34.66 (assume-push @p658 @t155) % 34.30/34.66 (assume-push @p659 @t277) % 34.30/34.66 (assume-push @p660 @t266) % 34.30/34.66 (assume-push @p661 @t171) % 34.30/34.66 (assume-push @p662 @t270) % 34.30/34.66 (assume-push @p663 @t257) % 34.30/34.66 (assume-push @p664 @t195) % 34.30/34.66 (assume-push @p665 @t155) % 34.30/34.66 (assume-push @p666 @t195) % 34.30/34.66 (step @p340 :rule refl :args (@t147)) % 34.30/34.66 (step @p457 :rule cong :premises (@p658 @p340) :args (@t194)) % 34.30/34.66 (step @p458 :rule trans :premises (@p664 @p457)) % 34.30/34.66 (step-pop @p667 :rule scope :premises (@p458)) % 34.30/34.66 (step-pop @p668 :rule scope :premises (@p667)) % 34.30/34.66 (step @p459 :rule process_scope :premises (@p668) :args (@t279)) % 34.30/34.66 (step @p462 :rule and_intro :premises (@p658 @p664)) % 34.30/34.66 (step @p463 :rule modus_ponens :premises (@p462 @p459)) % 34.30/34.66 (assume-push @p669 @t155) % 34.30/34.66 (assume-push @p670 @t171) % 34.30/34.66 (assume-push @p671 @t270) % 34.30/34.66 (assume-push @p672 @t257) % 34.30/34.66 (step @p355 :rule refl :args (@t150)) % 34.30/34.66 (step @p468 :rule cong :premises (@p355 @p658) :args ((|tptp.'@+'| @t150 |tptp.'0'|))) % 34.30/34.66 (step @p177 :rule refl :args (|tptp.'0'|)) % 34.30/34.66 (step @p348 :rule refl :args (@t146)) % 34.30/34.66 (step @p469 :rule cong :premises (@p658 @p348) :args (@t170)) % 34.30/34.66 (step @p470 :rule symm :premises (@p420)) % 34.30/34.66 (step @p471 :rule trans :premises (@p470 @p661 @p469)) % 34.30/34.66 (step @p472 :rule trans :premises (@p420 @p471)) % 34.30/34.66 (step @p473 :rule cong :premises (@p472 @p177) :args ((|tptp.'@+'| |tptp.'0'| |tptp.'0'|))) % 34.30/34.66 (step @p474 :rule symm :premises (@p658)) % 34.30/34.66 (step @p475 :rule cong :premises (@p474 @p474) :args ((|tptp.'@+'| @t148 @t148))) % 34.30/34.66 (step @p476 :rule refl :args (@t148)) % 34.30/34.66 (step @p477 :rule cong :premises (@p476 @p658) :args (@t256)) % 34.30/34.66 (step @p478 :rule trans :premises (@p658 @p663 @p477 @p475 @p473 @p468)) % 34.30/34.66 (step-pop @p673 :rule scope :premises (@p478)) % 34.30/34.66 (step-pop @p674 :rule scope :premises (@p673)) % 34.30/34.66 (step-pop @p675 :rule scope :premises (@p674)) % 34.30/34.66 (step-pop @p676 :rule scope :premises (@p675)) % 34.30/34.66 (step @p479 :rule process_scope :premises (@p676) :args (@t278)) % 34.30/34.66 (step @p484 :rule and_intro :premises (@p658 @p661 @p420 @p663)) % 34.30/34.66 (step @p485 :rule modus_ponens :premises (@p484 @p479)) % 34.30/34.66 (step @p486 :rule and_intro :premises (@p409 @p485 @p463 @p659)) % 34.30/34.66 (step-pop @p677 :rule scope :premises (@p486)) % 34.30/34.66 (step-pop @p678 :rule scope :premises (@p677)) % 34.30/34.66 (step-pop @p679 :rule scope :premises (@p678)) % 34.30/34.66 (step-pop @p680 :rule scope :premises (@p679)) % 34.30/34.66 (step-pop @p681 :rule scope :premises (@p680)) % 34.30/34.66 (step-pop @p682 :rule scope :premises (@p681)) % 34.30/34.66 (step-pop @p683 :rule scope :premises (@p682)) % 34.30/34.66 (step @p487 :rule process_scope :premises (@p683) :args (@t280)) % 34.30/34.66 (step @p495 :rule implies_elim :premises (@p487)) % 34.30/34.66 (step @p496 :rule resolution :premises (@p495 @p443) :args (true @t280)) % 34.30/34.66 (step @p497 :rule not_and :premises (@p496)) % 34.30/34.66 (step @p498 :rule eq_resolve :premises (@p497 @p427)) % 34.30/34.66 (step @p499 :rule chain_m_resolution :premises (@p498 @p420 @p409 @p398 @p396 @p306 @p304 @p387 @p200 @p385 @p380 @p156 @p154 @p153 @p151 @p121 @p115 @p98 @p96 @p87 @p86 @p80) :args (@t167 (@list false false false false false false false false false true false false false false false true false false true false true) (@list @t270 @t266 @t257 @t258 @t241 @t244 @t235 @t155 @t165 @t163 @t195 @t197 @t187 @t191 @t179 @t176 @t171 @t172 @t152 @t153 @t166))) % 34.30/34.66 (step @p500 :rule refl :args (@t281)) % 34.30/34.66 (step @p501 :rule bool-double-not-elim :args (@t145)) % 34.30/34.66 (step @p502 :rule nary_cong :premises (@p501 @p500) :args ((or (not @t282) @t281))) % 34.30/34.66 (assume-push @p684 @t282) % 34.30/34.66 (step @p504 :rule skolemize :premises (@p684)) % 34.30/34.66 (step-pop @p685 :rule scope :premises (@p504)) % 34.30/34.66 (step @p505 :rule process_scope :premises (@p685) :args (@t281)) % 34.30/34.66 (step @p507 :rule implies_elim :premises (@p505)) % 34.30/34.66 (step @p508 :rule eq_resolve :premises (@p507 @p502)) % 34.30/34.66 (step @p509 :rule chain_m_resolution :premises (@p508 @p499) :args (@t145 @t192 (@list @t167))) % 34.30/34.66 (step @p510 :rule aci_norm :args ((= @t288 @t286))) % 34.30/34.66 (step @p511 :rule cong :premises (@p510) :args (@t290)) % 34.30/34.66 (step @p512 :rule quant-merge-prenex :args ((= (forall @t91 @t292) @t290))) % 34.30/34.66 (step @p513 :rule alpha_equiv :args (@t293 (@list @t283) @t294)) % 34.30/34.66 (step @p514 :rule refl :args (@t133)) % 34.30/34.66 (step @p515 :rule nary_cong :premises (@p514 @p513) :args (@t295)) % 34.30/34.66 (step @p516 :rule quant-miniscope-or :args ((= @t292 @t295))) % 34.30/34.66 (step @p517 :rule trans :premises (@p516 @p515)) % 34.30/34.66 (step @p518 :rule symm :premises (@p517)) % 34.30/34.66 (step @p519 :rule cong :premises (@p518) :args ((forall @t91 (or @t133 @t296)))) % 34.30/34.66 (step @p520 :rule trans :premises (@p519 @p512)) % 34.30/34.66 (step @p521 :rule trans :premises (@p520 @p511)) % 34.30/34.66 (step @p522 :rule bool-impl-elim :args (@t77 @t296)) % 34.30/34.66 (step @p523 :rule cong :premises (@p522) :args ((forall @t91 (=> @t77 @t296)))) % 34.30/34.66 (step @p524 :rule trans :premises (@p523 @p521)) % 34.30/34.66 (step @p525 :rule bool-impl-elim :args (@t73 @t116)) % 34.30/34.66 (step @p526 :rule cong :premises (@p525) :args (@t117)) % 34.30/34.66 (step @p527 :rule cong :premises (@p91 @p526) :args (@t118)) % 34.30/34.66 (step @p528 :rule cong :premises (@p527) :args (@t119)) % 34.30/34.66 (step @p529 :rule trans :premises (@p528 @p524)) % 34.30/34.66 (step @p530 :rule refl :args (@t136)) % 34.30/34.66 (step @p531 :rule refl :args (@t137)) % 34.30/34.66 (step @p532 :rule refl :args (@t139)) % 34.30/34.66 (step @p533 :rule refl :args (@t141)) % 34.30/34.66 (step @p534 :rule refl :args (@t142)) % 34.30/34.66 (step @p535 :rule eq-symm :args (@t143 @t69)) % 34.30/34.66 (step @p536 :rule cong :premises (@p535) :args (@t297)) % 34.30/34.66 (step @p537 :rule nary_cong :premises (@p536 @p534 @p533) :args (@t298)) % 34.30/34.66 (step @p538 :rule nary_cong :premises (@p537 @p532) :args (@t299)) % 34.30/34.66 (step @p539 :rule nary_cong :premises (@p538 @p531 @p530) :args (@t300)) % 34.30/34.66 (step @p540 :rule aci_norm :args ((= @t302 @t300))) % 34.30/34.66 (step @p541 :rule trans :premises (@p540 @p539)) % 34.30/34.66 (step @p542 :rule cong :premises (@p541) :args (@t303)) % 34.30/34.66 (step @p543 :rule quant-merge-prenex :args ((= (forall @t91 @t304) @t303))) % 34.30/34.66 (step @p544 :rule alpha_equiv :args (@t305 (@list @t135) @t294)) % 34.30/34.66 (step @p545 :rule quant-unused-vars :args ((= @t307 @t139))) % 34.30/34.66 (step @p546 :rule alpha_equiv :args (@t308 (@list @t140) (@list @t38))) % 34.30/34.66 (step @p547 :rule nary_cong :premises (@p546 @p545) :args (@t309)) % 34.30/34.66 (step @p548 :rule quant-miniscope-and :args ((= @t310 @t309))) % 34.30/34.66 (step @p549 :rule trans :premises (@p548 @p547)) % 34.30/34.66 (step @p550 :rule nary_cong :premises (@p549 @p544) :args (@t311)) % 34.30/34.66 (step @p551 :rule quant-miniscope-or :args ((= @t304 @t311))) % 34.30/34.66 (step @p552 :rule trans :premises (@p551 @p550)) % 34.30/34.66 (step @p553 :rule symm :premises (@p552)) % 34.30/34.66 (step @p554 :rule cong :premises (@p553) :args ((forall @t91 (or (and @t317 @t139) @t296)))) % 34.30/34.66 (step @p555 :rule trans :premises (@p554 @p543)) % 34.30/34.66 (step @p556 :rule trans :premises (@p555 @p542)) % 34.30/34.66 (step @p557 :rule refl :args (@t296)) % 34.30/34.66 (step @p558 :rule refl :args (@t139)) % 34.30/34.66 (step @p559 :rule bool-double-not-elim :args (@t317)) % 34.30/34.66 (step @p560 :rule nary_cong :premises (@p559 @p558) :args ((and (not @t318) @t139))) % 34.30/34.66 (step @p561 :rule bool-or-de-morgan :args (@t318 @t138 false)) % 34.30/34.66 (step @p562 :rule trans :premises (@p561 @p560)) % 34.30/34.66 (step @p563 :rule nary_cong :premises (@p562 @p557) :args ((or (not @t319) @t296))) % 34.30/34.66 (step @p564 :rule bool-impl-elim :args (@t319 @t296)) % 34.30/34.66 (step @p565 :rule trans :premises (@p564 @p563)) % 34.30/34.66 (step @p566 :rule cong :premises (@p565) :args ((forall @t91 (=> @t319 @t296)))) % 34.30/34.66 (step @p567 :rule trans :premises (@p566 @p556)) % 34.30/34.66 (step @p568 :rule eq-symm :args (@t69 |tptp.'0'|)) % 34.30/34.66 (step @p569 :rule aci_norm :args ((= (or @t315 (or @t175 @t313)) @t316))) % 34.30/34.66 (step @p570 :rule bool-and-de-morgan :args (@t56 @t312 true)) % 34.30/34.66 (step @p571 :rule refl :args (@t315)) % 34.30/34.66 (step @p572 :rule nary_cong :premises (@p571 @p570) :args ((or @t315 (not (and @t56 @t312))))) % 34.30/34.66 (step @p573 :rule bool-and-de-morgan :args (@t314 @t56 (and @t312))) % 34.30/34.66 (step @p574 :rule trans :premises (@p573 @p572)) % 34.30/34.66 (step @p575 :rule trans :premises (@p574 @p569)) % 34.30/34.66 (step @p576 :rule cong :premises (@p575) :args (@t321)) % 34.30/34.66 (step @p577 :rule cong :premises (@p576) :args (@t322)) % 34.30/34.66 (step @p578 :rule exists-elim :args ((= (exists @t60 @t320) @t322))) % 34.30/34.66 (step @p579 :rule trans :premises (@p578 @p577)) % 34.30/34.66 (step @p580 :rule bool-impl-elim :args (@t73 @t120)) % 34.30/34.66 (step @p581 :rule cong :premises (@p580) :args (@t121)) % 34.30/34.66 (step @p582 :rule refl :args (@t56)) % 34.30/34.66 (step @p583 :rule eq-symm :args (@t69 @t57)) % 34.30/34.66 (step @p584 :rule nary_cong :premises (@p583 @p582 @p581) :args (@t122)) % 34.30/34.66 (step @p585 :rule cong :premises (@p584) :args (@t123)) % 34.30/34.66 (step @p586 :rule trans :premises (@p585 @p579)) % 34.30/34.66 (step @p587 :rule nary_cong :premises (@p586 @p568) :args (@t124)) % 34.30/34.66 (step @p588 :rule cong :premises (@p587 @p526) :args (@t125)) % 34.30/34.66 (step @p589 :rule cong :premises (@p588) :args (@t126)) % 34.30/34.66 (step @p590 :rule trans :premises (@p589 @p567)) % 34.30/34.66 (step @p591 :rule cong :premises (@p590 @p529) :args (@t127)) % 34.30/34.66 (step @p592 :rule eq_resolve :premises (@p66 @p591)) % 34.30/34.66 (step @p593 :rule implies_elim :premises (@p592)) % 34.30/34.66 (step @p594 :rule reordering :premises (@p593) :args ((or @t323 @t282))) % 34.30/34.66 (step @p595 :rule chain_m_resolution :premises (@p594 @p509) :args (@t323 @t192 (@list @t145))) % 34.30/34.66 (assume-push @p686 @t323) % 34.30/34.66 (step @p597 :rule instantiate :premises (@p686) :args ((@list @t260 @t263))) % 34.30/34.66 (step-pop @p687 :rule scope :premises (@p597)) % 34.30/34.66 (step @p598 :rule process_scope :premises (@p687) :args (@t265)) % 34.30/34.66 (step @p600 :rule implies_elim :premises (@p598)) % 34.30/34.66 (step @p601 false :rule chain_m_resolution :premises (@p600 @p595 @p79) :args (false (@list false true) (@list @t323 @t265))) % 34.30/34.66 ) % 34.30/34.66 % SZS output end Proof % 34.30/34.66 % cvc5 exiting %------------------------------------------------------------------------------