%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX043+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 : n029.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 09:07:02 AM UTC 2026 % Result : Theorem 27.87s 28.52s % Output : Proof 27.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX043+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 22:54:17 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 27.87/28.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.87/28.52 --- Run --no-e-matching --full-saturate-quant at 6... % 27.87/28.52 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.87/28.52 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.87/28.52 % SZS status Theorem % 27.87/28.52 % SZS output start Proof % 27.87/28.52 ( % 27.87/28.52 (declare-sort $$unsorted 0) % 27.87/28.52 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 27.87/28.52 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 27.87/28.52 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const tptp.gr (-> $$unsorted Bool)) % 27.87/28.52 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const |tptp.'0'| $$unsorted) % 27.87/28.52 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 27.87/28.52 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 27.87/28.52 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 27.87/28.52 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 27.87/28.52 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 27.87/28.52 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 27.87/28.52 (define @t1 () (@var "Xx3" $$unsorted)) % 27.87/28.52 (define @t2 () (tptp.s @t1)) % 27.87/28.52 (define @t3 () (@var "Xx5" $$unsorted)) % 27.87/28.52 (define @t4 () (@var "Xx4" $$unsorted)) % 27.87/28.52 (define @t5 () (tptp.s @t3)) % 27.87/28.52 (define @t6 () (tptp.s @t4)) % 27.87/28.52 (define @t7 () (@list @t4 @t3)) % 27.87/28.52 (define @t8 () (@var "Xx6" $$unsorted)) % 27.87/28.52 (define @t9 () (@var "Xx9" $$unsorted)) % 27.87/28.52 (define @t10 () (@var "Xx8" $$unsorted)) % 27.87/28.52 (define @t11 () (@var "Xx7" $$unsorted)) % 27.87/28.52 (define @t12 () (tptp.times_fails @t11 @t10 @t9)) % 27.87/28.52 (define @t13 () (tptp.times_succeeds @t11 @t10 @t9)) % 27.87/28.52 (define @t14 () (@list @t11 @t10 @t9)) % 27.87/28.52 (define @t15 () (@var "Xx12" $$unsorted)) % 27.87/28.52 (define @t16 () (@var "Xx11" $$unsorted)) % 27.87/28.52 (define @t17 () (@var "Xx10" $$unsorted)) % 27.87/28.52 (define @t18 () (tptp.plus_fails @t17 @t16 @t15)) % 27.87/28.52 (define @t19 () (tptp.plus_succeeds @t17 @t16 @t15)) % 27.87/28.52 (define @t20 () (@list @t17 @t16 @t15)) % 27.87/28.52 (define @t21 () (@var "Xx14" $$unsorted)) % 27.87/28.52 (define @t22 () (@var "Xx13" $$unsorted)) % 27.87/28.52 (define @t23 () (|tptp.'@=<_fails'| @t22 @t21)) % 27.87/28.52 (define @t24 () (|tptp.'@=<_succeeds'| @t22 @t21)) % 27.87/28.52 (define @t25 () (@list @t22 @t21)) % 27.87/28.52 (define @t26 () (@var "Xx16" $$unsorted)) % 27.87/28.52 (define @t27 () (@var "Xx15" $$unsorted)) % 27.87/28.52 (define @t28 () (|tptp.'@<_fails'| @t27 @t26)) % 27.87/28.52 (define @t29 () (|tptp.'@<_succeeds'| @t27 @t26)) % 27.87/28.52 (define @t30 () (@list @t27 @t26)) % 27.87/28.52 (define @t31 () (@var "Xx17" $$unsorted)) % 27.87/28.52 (define @t32 () (tptp.nat_fails @t31)) % 27.87/28.52 (define @t33 () (tptp.nat_succeeds @t31)) % 27.87/28.52 (define @t34 () (@list @t31)) % 27.87/28.52 (define @t35 () (= @t1 |tptp.'0'|)) % 27.87/28.52 (define @t36 () (@var "Xx1" $$unsorted)) % 27.87/28.52 (define @t37 () (= @t36 |tptp.'0'|)) % 27.87/28.52 (define @t38 () (@var "Xx2" $$unsorted)) % 27.87/28.52 (define @t39 () (= @t36 @t6)) % 27.87/28.52 (define @t40 () (@list @t36 @t38 @t1)) % 27.87/28.52 (define @t41 () (not @t37)) % 27.87/28.52 (define @t42 () (tptp.times_fails @t4 @t38 @t3)) % 27.87/28.52 (define @t43 () (not @t39)) % 27.87/28.52 (define @t44 () (or @t41 true)) % 27.87/28.52 (define @t45 () (= @t1 @t38)) % 27.87/28.52 (define @t46 () (= @t1 @t5)) % 27.87/28.52 (define @t47 () (not @t46)) % 27.87/28.52 (define @t48 () (|tptp.'@=<_succeeds'| @t1 @t4)) % 27.87/28.52 (define @t49 () (= @t38 @t6)) % 27.87/28.52 (define @t50 () (= @t36 @t2)) % 27.87/28.52 (define @t51 () (and @t50 @t49 @t48)) % 27.87/28.52 (define @t52 () (@list @t1 @t4)) % 27.87/28.52 (define @t53 () (exists @t52 @t51)) % 27.87/28.52 (define @t54 () (or @t53 @t37)) % 27.87/28.52 (define @t55 () (|tptp.'@=<_succeeds'| @t36 @t38)) % 27.87/28.52 (define @t56 () (= @t55 @t54)) % 27.87/28.52 (define @t57 () (@list @t36 @t38)) % 27.87/28.52 (define @t58 () (forall @t57 @t56)) % 27.87/28.52 (define @t59 () (not @t49)) % 27.87/28.52 (define @t60 () (not @t50)) % 27.87/28.52 (define @t61 () (= @t38 @t5)) % 27.87/28.52 (define @t62 () (@list @t3)) % 27.87/28.52 (define @t63 () (tptp.nat_succeeds @t38)) % 27.87/28.52 (define @t64 () (tptp.s @t38)) % 27.87/28.52 (define @t65 () (= @t36 @t64)) % 27.87/28.52 (define @t66 () (@list @t38)) % 27.87/28.52 (define @t67 () (@list @t36)) % 27.87/28.52 (define @t68 () (not @t65)) % 27.87/28.52 (define @t69 () (@var "Xz" $$unsorted)) % 27.87/28.52 (define @t70 () (@var "Xy" $$unsorted)) % 27.87/28.52 (define @t71 () (@var "Xx" $$unsorted)) % 27.87/28.52 (define @t72 () (tptp.plus_succeeds @t71 @t70 @t69)) % 27.87/28.52 (define @t73 () (|tptp.'@+'| @t71 @t70)) % 27.87/28.52 (define @t74 () (tptp.nat_succeeds @t71)) % 27.87/28.52 (define @t75 () (@list @t71 @t70 @t69)) % 27.87/28.52 (define @t76 () (tptp.times_succeeds @t71 @t70 @t69)) % 27.87/28.52 (define @t77 () (|tptp.'@*'| @t71 @t70)) % 27.87/28.52 (define @t78 () (tptp.nat_succeeds @t70)) % 27.87/28.52 (define @t79 () (and @t74 @t78)) % 27.87/28.52 (define @t80 () (@list @t71)) % 27.87/28.52 (define @t81 () (tptp.gr @t71)) % 27.87/28.52 (define @t82 () (tptp.plus_terminates @t71 @t70 @t69)) % 27.87/28.52 (define @t83 () (tptp.nat_succeeds @t69)) % 27.87/28.52 (define @t84 () (tptp.gr @t69)) % 27.87/28.52 (define @t85 () (tptp.gr @t70)) % 27.87/28.52 (define @t86 () (@list @t69)) % 27.87/28.52 (define @t87 () (@list @t71 @t70)) % 27.87/28.52 (define @t88 () (@var "Xz2" $$unsorted)) % 27.87/28.52 (define @t89 () (@var "Xz1" $$unsorted)) % 27.87/28.52 (define @t90 () (= @t89 @t88)) % 27.87/28.52 (define @t91 () (@list @t71 @t70 @t89 @t88)) % 27.87/28.52 (define @t92 () (|tptp.'@+'| |tptp.'0'| @t70)) % 27.87/28.52 (define @t93 () (@list @t70)) % 27.87/28.52 (define @t94 () (forall @t93 (= @t92 @t70))) % 27.87/28.52 (define @t95 () (tptp.s @t71)) % 27.87/28.52 (define @t96 () (|tptp.'@+'| @t95 @t70)) % 27.87/28.52 (define @t97 () (= @t96 (tptp.s @t73))) % 27.87/28.52 (define @t98 () (forall @t87 (=> @t74 @t97))) % 27.87/28.52 (define @t99 () (|tptp.'@+'| @t70 @t69)) % 27.87/28.52 (define @t100 () (and @t74 @t78 @t83)) % 27.87/28.52 (define @t101 () (tptp.s @t70)) % 27.87/28.52 (define @t102 () (|tptp.'@+'| @t71 @t101)) % 27.87/28.52 (define @t103 () (|tptp.'@+'| @t70 @t71)) % 27.87/28.52 (define @t104 () (|tptp.'@+'| @t71 @t69)) % 27.87/28.52 (define @t105 () (|tptp.'@*'| @t70 @t69)) % 27.87/28.52 (define @t106 () (|tptp.'@*'| @t70 @t71)) % 27.87/28.52 (define @t107 () (tptp.s |tptp.'0'|)) % 27.87/28.52 (define @t108 () (|tptp.'@<_terminates'| @t71 @t70)) % 27.87/28.52 (define @t109 () (|tptp.'@<_succeeds'| @t71 @t70)) % 27.87/28.52 (define @t110 () (tptp.s @t69)) % 27.87/28.52 (define @t111 () (|tptp.'@<_succeeds'| @t71 @t69)) % 27.87/28.52 (define @t112 () (|tptp.'@<_succeeds'| @t71 @t101)) % 27.87/28.52 (define @t113 () (|tptp.'@<_succeeds'| @t70 @t69)) % 27.87/28.52 (define @t114 () (= @t71 @t70)) % 27.87/28.52 (define @t115 () (or @t109 @t114)) % 27.87/28.52 (define @t116 () (= @t71 |tptp.'0'|)) % 27.87/28.52 (define @t117 () (|tptp.'@=<_terminates'| @t71 @t70)) % 27.87/28.52 (define @t118 () (|tptp.'@=<_succeeds'| @t71 @t70)) % 27.87/28.52 (define @t119 () (|tptp.'@=<_succeeds'| @t70 @t71)) % 27.87/28.52 (define @t120 () (|tptp.'@=<_succeeds'| @t70 @t69)) % 27.87/28.52 (define @t121 () (|tptp.'@=<_succeeds'| @t73 @t104)) % 27.87/28.52 (define @t122 () (@list @t70 @t69)) % 27.87/28.52 (define @t123 () (forall @t122 (=> @t120 @t121))) % 27.87/28.52 (define @t124 () (=> @t74 @t123)) % 27.87/28.52 (define @t125 () (forall @t80 @t124)) % 27.87/28.52 (define @t126 () (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t38 @t70) (|tptp.'@+'| @t38 @t69))) % 27.87/28.52 (define @t127 () (forall @t122 (=> @t120 @t126))) % 27.87/28.52 (define @t128 () (and (= @t71 @t64) @t63 @t127)) % 27.87/28.52 (define @t129 () (exists @t66 @t128)) % 27.87/28.52 (define @t130 () (or @t129 @t116)) % 27.87/28.52 (define @t131 () (=> @t130 @t123)) % 27.87/28.52 (define @t132 () (forall @t80 @t131)) % 27.87/28.52 (define @t133 () (=> @t132 @t125)) % 27.87/28.52 (define @t134 () (and @t74 @t120)) % 27.87/28.52 (define @t135 () (forall @t75 (=> @t134 @t121))) % 27.87/28.52 (define @t136 () (not @t135)) % 27.87/28.52 (define @t137 () (not @t120)) % 27.87/28.52 (define @t138 () (not @t74)) % 27.87/28.52 (define @t139 () (or @t138 @t137 @t121)) % 27.87/28.52 (define @t140 () (@var "BOUND_VARIABLE_9545" $$unsorted)) % 27.87/28.52 (define @t141 () (@var "BOUND_VARIABLE_9546" $$unsorted)) % 27.87/28.52 (define @t142 () (@var "BOUND_VARIABLE_9544" $$unsorted)) % 27.87/28.52 (define @t143 () (@list @t142 @t140 @t141)) % 27.87/28.52 (define @t144 () (@var "BOUND_VARIABLE_8650" $$unsorted)) % 27.87/28.52 (define @t145 () (@var "BOUND_VARIABLE_8648" $$unsorted)) % 27.87/28.52 (define @t146 () (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t71 @t145) (|tptp.'@+'| @t71 @t144))) % 27.87/28.52 (define @t147 () (not (|tptp.'@=<_succeeds'| @t145 @t144))) % 27.87/28.52 (define @t148 () (or @t138 @t147 @t146)) % 27.87/28.52 (define @t149 () (@list @t71 @t145 @t144)) % 27.87/28.52 (define @t150 () (forall @t149 @t148)) % 27.87/28.52 (define @t151 () (not @t150)) % 27.87/28.52 (define @t152 () (forall @t75 @t139)) % 27.87/28.52 (define @t153 () (@list true)) % 27.87/28.52 (define @t154 () (or @t147 @t146)) % 27.87/28.52 (define @t155 () (or @t138 @t154)) % 27.87/28.52 (define @t156 () (forall @t149 @t155)) % 27.87/28.52 (define @t157 () (@list @t145 @t144)) % 27.87/28.52 (define @t158 () (forall @t157 @t155)) % 27.87/28.52 (define @t159 () (forall @t157 @t154)) % 27.87/28.52 (define @t160 () (@list @t70 @t69)) % 27.87/28.52 (define @t161 () (or @t138 @t159)) % 27.87/28.52 (define @t162 () (forall @t122 (or @t137 @t121))) % 27.87/28.52 (define @t163 () (@var "BOUND_VARIABLE_8626" $$unsorted)) % 27.87/28.52 (define @t164 () (@var "BOUND_VARIABLE_8624" $$unsorted)) % 27.87/28.52 (define @t165 () (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t71 @t164) (|tptp.'@+'| @t71 @t163))) % 27.87/28.52 (define @t166 () (not (|tptp.'@=<_succeeds'| @t164 @t163))) % 27.87/28.52 (define @t167 () (= |tptp.'0'| @t71)) % 27.87/28.52 (define @t168 () (not @t167)) % 27.87/28.52 (define @t169 () (@var "BOUND_VARIABLE_8609" $$unsorted)) % 27.87/28.52 (define @t170 () (not (forall @t122 (or @t137 (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t169 @t70) (|tptp.'@+'| @t169 @t69)))))) % 27.87/28.52 (define @t171 () (not (tptp.nat_succeeds @t169))) % 27.87/28.52 (define @t172 () (tptp.s @t169)) % 27.87/28.52 (define @t173 () (not (= @t172 @t71))) % 27.87/28.52 (define @t174 () (or @t173 @t171 @t170)) % 27.87/28.52 (define @t175 () (and @t174 @t168)) % 27.87/28.52 (define @t176 () (or @t175 @t166 @t165)) % 27.87/28.52 (define @t177 () (or @t166 @t165)) % 27.87/28.52 (define @t178 () (or @t175 @t177)) % 27.87/28.52 (define @t179 () (@list @t71 @t169 @t164 @t163)) % 27.87/28.52 (define @t180 () (forall @t179 @t178)) % 27.87/28.52 (define @t181 () (forall (@list @t169 @t164 @t163) @t178)) % 27.87/28.52 (define @t182 () (forall (@list @t164 @t163) @t177)) % 27.87/28.52 (define @t183 () (@list @t169)) % 27.87/28.52 (define @t184 () (forall @t183 @t168)) % 27.87/28.52 (define @t185 () (forall @t183 @t174)) % 27.87/28.52 (define @t186 () (and @t185 @t184)) % 27.87/28.52 (define @t187 () (forall @t183 @t175)) % 27.87/28.52 (define @t188 () (or @t187 @t182)) % 27.87/28.52 (define @t189 () (forall @t122 (or @t137 @t126))) % 27.87/28.52 (define @t190 () (not @t189)) % 27.87/28.52 (define @t191 () (not @t63)) % 27.87/28.52 (define @t192 () (= @t64 @t71)) % 27.87/28.52 (define @t193 () (not @t192)) % 27.87/28.52 (define @t194 () (or @t193 @t191 @t190)) % 27.87/28.52 (define @t195 () (forall @t66 @t194)) % 27.87/28.52 (define @t196 () (not @t195)) % 27.87/28.52 (define @t197 () (or @t196 @t167)) % 27.87/28.52 (define @t198 () (and @t192 @t63 @t189)) % 27.87/28.52 (define @t199 () (forall @t66 (not @t198))) % 27.87/28.52 (define @t200 () (not @t199)) % 27.87/28.52 (define @t201 () (forall @t179 (or (and (or (not (= @t71 @t172)) @t171 @t170) @t168) @t166 @t165))) % 27.87/28.52 (define @t202 () (not @t201)) % 27.87/28.52 (define @t203 () (@quantifiers_skolemize @t201 3)) % 27.87/28.52 (define @t204 () (@quantifiers_skolemize @t201 2)) % 27.87/28.52 (define @t205 () (|tptp.'@=<_succeeds'| @t204 @t203)) % 27.87/28.52 (define @t206 () (@quantifiers_skolemize @t201 0)) % 27.87/28.52 (define @t207 () (|tptp.'@+'| @t206 @t203)) % 27.87/28.52 (define @t208 () (|tptp.'@+'| @t206 @t204)) % 27.87/28.52 (define @t209 () (|tptp.'@=<_succeeds'| @t208 @t207)) % 27.87/28.52 (define @t210 () (not @t205)) % 27.87/28.52 (define @t211 () (= |tptp.'0'| @t206)) % 27.87/28.52 (define @t212 () (not @t211)) % 27.87/28.52 (define @t213 () (@quantifiers_skolemize @t201 1)) % 27.87/28.52 (define @t214 () (forall @t122 (or @t137 (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t213 @t70) (|tptp.'@+'| @t213 @t69))))) % 27.87/28.52 (define @t215 () (not @t214)) % 27.87/28.52 (define @t216 () (tptp.nat_succeeds @t213)) % 27.87/28.52 (define @t217 () (not @t216)) % 27.87/28.52 (define @t218 () (tptp.s @t213)) % 27.87/28.52 (define @t219 () (= @t206 @t218)) % 27.87/28.52 (define @t220 () (not @t219)) % 27.87/28.52 (define @t221 () (or @t220 @t217 @t215)) % 27.87/28.52 (define @t222 () (and @t221 @t212)) % 27.87/28.52 (define @t223 () (or @t222 @t210 @t209)) % 27.87/28.52 (define @t224 () (@list @t223)) % 27.87/28.52 (define @t225 () (not @t209)) % 27.87/28.52 (define @t226 () (= |tptp.'0'| @t218)) % 27.87/28.52 (define @t227 () (not @t226)) % 27.87/28.52 (define @t228 () (and @t219 @t227)) % 27.87/28.52 (define @t229 () (not @t221)) % 27.87/28.52 (define @t230 () (|tptp.'@+'| @t213 @t203)) % 27.87/28.52 (define @t231 () (tptp.s @t230)) % 27.87/28.52 (define @t232 () (= (|tptp.'@+'| @t218 @t203) @t231)) % 27.87/28.52 (define @t233 () (or @t217 @t232)) % 27.87/28.52 (define @t234 () (|tptp.'@+'| @t213 @t204)) % 27.87/28.52 (define @t235 () (tptp.s @t234)) % 27.87/28.52 (define @t236 () (= (|tptp.'@+'| @t218 @t204) @t235)) % 27.87/28.52 (define @t237 () (or @t217 @t236)) % 27.87/28.52 (define @t238 () (|tptp.'@=<_succeeds'| @t234 @t230)) % 27.87/28.52 (define @t239 () (or @t210 @t238)) % 27.87/28.52 (define @t240 () (= @t208 @t235)) % 27.87/28.52 (define @t241 () (and @t219 @t236)) % 27.87/28.52 (define @t242 () (not @t48)) % 27.87/28.52 (define @t243 () (= @t6 @t38)) % 27.87/28.52 (define @t244 () (not @t243)) % 27.87/28.52 (define @t245 () (= @t2 @t36)) % 27.87/28.52 (define @t246 () (not @t245)) % 27.87/28.52 (define @t247 () (and @t245 @t243 @t48)) % 27.87/28.52 (define @t248 () (forall @t52 (not @t247))) % 27.87/28.52 (define @t249 () (not @t248)) % 27.87/28.52 (define @t250 () (forall @t52 (or (not (= @t2 @t208)) (not (= @t6 @t207)) @t242))) % 27.87/28.52 (define @t251 () (not @t250)) % 27.87/28.52 (define @t252 () (or @t251 (= |tptp.'0'| @t208))) % 27.87/28.52 (define @t253 () (= @t209 @t252)) % 27.87/28.52 (define @t254 () (not @t252)) % 27.87/28.52 (define @t255 () (@list true false)) % 27.87/28.52 (define @t256 () (not @t238)) % 27.87/28.52 (define @t257 () (not (= @t231 @t207))) % 27.87/28.52 (define @t258 () (not (= @t235 @t208))) % 27.87/28.52 (define @t259 () (or @t258 @t257 @t256)) % 27.87/28.52 (define @t260 () (= @t207 @t231)) % 27.87/28.52 (define @t261 () (not @t260)) % 27.87/28.52 (define @t262 () (not @t240)) % 27.87/28.52 (define @t263 () (or @t262 @t261 @t256)) % 27.87/28.52 (define @t264 () (and @t219 @t232)) % 27.87/28.52 (define @t265 () (|tptp.'@+'| |tptp.'0'| @t203)) % 27.87/28.52 (define @t266 () (= @t203 @t265)) % 27.87/28.52 (define @t267 () (not @t266)) % 27.87/28.52 (define @t268 () (|tptp.'@+'| |tptp.'0'| @t204)) % 27.87/28.52 (define @t269 () (= @t204 @t268)) % 27.87/28.52 (define @t270 () (not @t269)) % 27.87/28.52 (define @t271 () (and @t225 @t211 @t269 @t266 @t205)) % 27.87/28.52 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 27.87/28.52 (assume @p2 (forall @t7 (=> (= @t6 @t5) (= @t4 @t3)))) % 27.87/28.52 (assume @p3 (tptp.gr |tptp.'0'|)) % 27.87/28.52 (assume @p4 (forall (@list @t8) (= (tptp.gr @t8) (tptp.gr (tptp.s @t8))))) % 27.87/28.52 (assume @p5 (forall @t14 (not (and @t13 @t12)))) % 27.87/28.52 (assume @p6 (forall @t14 (=> (tptp.times_terminates @t11 @t10 @t9) (or @t13 @t12)))) % 27.87/28.52 (assume @p7 (forall @t20 (not (and @t19 @t18)))) % 27.87/28.52 (assume @p8 (forall @t20 (=> (tptp.plus_terminates @t17 @t16 @t15) (or @t19 @t18)))) % 27.87/28.52 (assume @p9 (forall @t25 (not (and @t24 @t23)))) % 27.87/28.52 (assume @p10 (forall @t25 (=> (|tptp.'@=<_terminates'| @t22 @t21) (or @t24 @t23)))) % 27.87/28.52 (assume @p11 (forall @t30 (not (and @t29 @t28)))) % 27.87/28.52 (assume @p12 (forall @t30 (=> (|tptp.'@<_terminates'| @t27 @t26) (or @t29 @t28)))) % 27.87/28.52 (assume @p13 (forall @t34 (not (and @t33 @t32)))) % 27.87/28.52 (assume @p14 (forall @t34 (=> (tptp.nat_terminates @t31) (or @t33 @t32)))) % 27.87/28.52 (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))))) % 27.87/28.52 (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)))))) % 27.87/28.52 (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)))) % 27.87/28.52 (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))))) % 27.87/28.53 (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)))))) % 27.87/28.53 (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)))) % 27.87/28.53 (assume @p21 @t58) % 27.87/28.53 (assume @p22 (forall @t57 (= (|tptp.'@=<_fails'| @t36 @t38) (and (forall @t52 (or @t60 @t59 (|tptp.'@=<_fails'| @t1 @t4))) @t41)))) % 27.87/28.53 (assume @p23 (forall @t57 (= (|tptp.'@=<_terminates'| @t36 @t38) (and (forall @t52 (and true (or @t60 (and true (or @t59 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 27.87/28.53 (assume @p24 (forall @t57 (= (|tptp.'@<_succeeds'| @t36 @t38) (or (exists @t52 (and @t50 @t49 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t62 (and @t37 @t61)))))) % 27.87/28.53 (assume @p25 (forall @t57 (= (|tptp.'@<_fails'| @t36 @t38) (and (forall @t52 (or @t60 @t59 (|tptp.'@<_fails'| @t1 @t4))) (forall @t62 (or @t41 (not @t61))))))) % 27.87/28.53 (assume @p26 (forall @t57 (= (|tptp.'@<_terminates'| @t36 @t38) (and (forall @t52 (and true (or @t60 (and true (or @t59 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t62 (and true @t44)))))) % 27.87/28.53 (assume @p27 (forall @t67 (= (tptp.nat_succeeds @t36) (or (exists @t66 (and @t65 @t63)) @t37)))) % 27.87/28.53 (assume @p28 (forall @t67 (= (tptp.nat_fails @t36) (and (forall @t66 (or @t68 (tptp.nat_fails @t38))) @t41)))) % 27.87/28.53 (assume @p29 (forall @t67 (= (tptp.nat_terminates @t36) (and (forall @t66 (and true (or @t68 (tptp.nat_terminates @t38)))) true)))) % 27.87/28.53 (assume @p30 (forall @t75 (=> @t74 (= (= @t73 @t69) @t72)))) % 27.87/28.53 (assume @p31 (forall @t75 (=> @t79 (= (= @t77 @t69) @t76)))) % 27.87/28.53 (assume @p32 (forall @t80 (=> @t74 (tptp.nat_terminates @t71)))) % 27.87/28.53 (assume @p33 (forall @t80 (=> @t74 @t81))) % 27.87/28.53 (assume @p34 (forall @t75 (=> @t74 @t82))) % 27.87/28.53 (assume @p35 (forall @t75 (=> @t83 @t82))) % 27.87/28.53 (assume @p36 (forall @t75 (=> @t72 @t74))) % 27.87/28.53 (assume @p37 (forall @t75 (=> (and @t72 @t78) @t83))) % 27.87/28.53 (assume @p38 (forall @t75 (=> (and @t72 @t83) @t78))) % 27.87/28.53 (assume @p39 (forall @t75 (=> @t72 @t82))) % 27.87/28.53 (assume @p40 (forall @t75 (=> @t72 @t81))) % 27.87/28.53 (assume @p41 (forall @t75 (=> (and @t72 @t85) @t84))) % 27.87/28.53 (assume @p42 (forall @t75 (=> (and @t72 @t84) @t85))) % 27.87/28.53 (assume @p43 (forall @t87 (=> @t74 (exists @t86 @t72)))) % 27.87/28.53 (assume @p44 (forall @t91 (=> (and (tptp.plus_succeeds @t71 @t70 @t89) (tptp.plus_succeeds @t71 @t70 @t88)) @t90))) % 27.87/28.53 (assume @p45 @t94) % 27.87/28.53 (assume @p46 @t98) % 27.87/28.53 (assume @p47 (forall @t87 (=> @t79 (tptp.nat_succeeds @t73)))) % 27.87/28.53 (assume @p48 (forall @t75 (=> @t100 (= (|tptp.'@+'| @t73 @t69) (|tptp.'@+'| @t71 @t99))))) % 27.87/28.53 (assume @p49 (forall @t80 (=> @t74 (= (|tptp.'@+'| @t71 |tptp.'0'|) @t71)))) % 27.87/28.53 (assume @p50 (forall @t87 (=> @t79 (= @t102 @t96)))) % 27.87/28.53 (assume @p51 (forall @t87 (=> @t79 (= @t73 @t103)))) % 27.87/28.53 (assume @p52 (forall @t75 (=> (and @t74 (= @t73 @t104)) (= @t70 @t69)))) % 27.87/28.53 (assume @p53 (forall @t75 (=> @t76 @t74))) % 27.87/28.53 (assume @p54 (forall @t75 (=> (and @t76 @t78) @t83))) % 27.87/28.53 (assume @p55 (forall @t75 (=> @t76 @t81))) % 27.87/28.53 (assume @p56 (forall @t75 (=> (and @t76 @t85) @t84))) % 27.87/28.53 (assume @p57 (forall @t75 (=> @t79 (tptp.times_terminates @t71 @t70 @t69)))) % 27.87/28.53 (assume @p58 (forall @t87 (=> @t79 (exists @t86 @t76)))) % 27.87/28.53 (assume @p59 (forall @t91 (=> (and (tptp.times_succeeds @t71 @t70 @t89) (tptp.times_succeeds @t71 @t70 @t88)) @t90))) % 27.87/28.53 (assume @p60 (forall @t93 (=> @t78 (= (|tptp.'@*'| |tptp.'0'| @t70) |tptp.'0'|)))) % 27.87/28.53 (assume @p61 (forall @t87 (=> @t79 (= (|tptp.'@*'| @t95 @t70) (|tptp.'@+'| @t70 @t77))))) % 27.87/28.53 (assume @p62 (forall @t87 (=> @t79 (tptp.nat_succeeds @t77)))) % 27.87/28.53 (assume @p63 (forall @t75 (=> @t100 (= (|tptp.'@*'| @t73 @t69) (|tptp.'@+'| (|tptp.'@*'| @t71 @t69) @t105))))) % 27.87/28.53 (assume @p64 (forall @t75 (=> @t100 (= (|tptp.'@*'| @t77 @t69) (|tptp.'@*'| @t71 @t105))))) % 27.87/28.53 (assume @p65 (forall @t80 (=> @t74 (= (|tptp.'@*'| @t71 |tptp.'0'|) |tptp.'0'|)))) % 27.87/28.53 (assume @p66 (forall (@list @t70 @t71) (=> (and @t78 @t74) (= (|tptp.'@+'| @t106 @t70) (|tptp.'@*'| @t70 @t95))))) % 27.87/28.53 (assume @p67 (forall @t87 (=> @t79 (= @t77 @t106)))) % 27.87/28.53 (assume @p68 (forall @t80 (=> @t74 (= (|tptp.'@*'| @t107 @t71) @t71)))) % 27.87/28.53 (assume @p69 (forall @t80 (=> @t74 (= (|tptp.'@*'| @t71 @t107) @t71)))) % 27.87/28.53 (assume @p70 (forall @t75 (=> @t100 (= (|tptp.'@*'| @t69 @t73) (|tptp.'@+'| (|tptp.'@*'| @t69 @t71) (|tptp.'@*'| @t69 @t70)))))) % 27.87/28.53 (assume @p71 (forall @t87 (=> @t74 @t108))) % 27.87/28.53 (assume @p72 (forall @t87 (=> @t78 @t108))) % 27.87/28.53 (assume @p73 (forall @t87 (=> @t109 @t74))) % 27.87/28.53 (assume @p74 (forall @t87 (=> @t109 (exists @t86 (= @t70 @t110))))) % 27.87/28.53 (assume @p75 (forall @t75 (=> (and @t109 (|tptp.'@<_succeeds'| @t70 @t110)) @t111))) % 27.87/28.53 (assume @p76 (forall @t87 (=> @t109 @t112))) % 27.87/28.53 (assume @p77 (forall @t75 (=> (and @t109 @t113) @t111))) % 27.87/28.53 (assume @p78 (forall @t80 (=> @t74 (|tptp.'@<_fails'| @t71 @t71)))) % 27.87/28.53 (assume @p79 (forall @t80 (=> @t74 (not (|tptp.'@<_succeeds'| @t71 @t71))))) % 27.87/28.53 (assume @p80 (forall @t80 (=> @t74 (|tptp.'@<_succeeds'| @t71 @t95)))) % 27.87/28.53 (assume @p81 (forall @t87 (=> (and @t78 @t112) @t115))) % 27.87/28.53 (assume @p82 (forall @t87 (=> @t79 (or @t109 @t114 (|tptp.'@<_succeeds'| @t70 @t71))))) % 27.87/28.53 (assume @p83 (forall @t80 (=> (and @t74 (not @t116)) (|tptp.'@<_succeeds'| |tptp.'0'| @t71)))) % 27.87/28.53 (assume @p84 (forall @t87 (=> @t74 @t117))) % 27.87/28.53 (assume @p85 (forall @t87 (=> @t78 @t117))) % 27.87/28.53 (assume @p86 (forall @t87 (=> @t118 @t74))) % 27.87/28.53 (assume @p87 (forall @t87 (=> @t118 (exists @t86 (tptp.plus_succeeds @t71 @t69 @t70))))) % 27.87/28.53 (assume @p88 (forall @t87 (=> @t118 (exists @t86 (= @t104 @t70))))) % 27.87/28.53 (assume @p89 (forall @t87 (=> @t109 (exists @t86 (tptp.plus_succeeds @t71 @t110 @t70))))) % 27.87/28.53 (assume @p90 (forall @t87 (=> @t109 (exists @t86 (= (|tptp.'@+'| @t71 @t110) @t70))))) % 27.87/28.53 (assume @p91 (forall @t87 (=> @t109 @t118))) % 27.87/28.53 (assume @p92 (forall @t80 (=> @t74 (|tptp.'@=<_succeeds'| @t71 @t71)))) % 27.87/28.53 (assume @p93 (forall @t87 (=> @t79 (or @t118 @t119)))) % 27.87/28.53 (assume @p94 (forall @t87 (=> @t79 (or @t109 @t119)))) % 27.87/28.53 (assume @p95 (forall @t87 (=> (and @t74 @t78 (|tptp.'@=<_fails'| @t71 @t70)) @t119))) % 27.87/28.53 (assume @p96 (forall @t87 (=> (and @t118 @t78) @t115))) % 27.87/28.53 (assume @p97 (forall @t75 (=> (and @t118 @t113) @t111))) % 27.87/28.53 (assume @p98 (forall @t75 (=> (and @t109 @t120) @t111))) % 27.87/28.53 (assume @p99 (forall @t75 (=> (and @t118 @t120) (|tptp.'@=<_succeeds'| @t71 @t69)))) % 27.87/28.53 (assume @p100 (forall @t87 (=> (and @t118 @t119) @t114))) % 27.87/28.53 (assume @p101 (forall @t80 (=> @t74 (|tptp.'@=<_succeeds'| @t71 @t95)))) % 27.87/28.53 (assume @p102 (forall @t80 (=> @t74 (|tptp.'@=<_fails'| @t95 @t71)))) % 27.87/28.53 (assume @p103 (forall @t75 (=> (and @t74 @t113) (|tptp.'@<_succeeds'| @t73 @t104)))) % 27.87/28.53 (assume @p104 (forall @t87 (=> @t74 (|tptp.'@<_succeeds'| @t71 @t102)))) % 27.87/28.53 (assume @p105 (forall @t75 (=> (and @t109 @t78 @t83) (|tptp.'@<_succeeds'| @t104 @t99)))) % 27.87/28.53 (assume @p106 (forall @t87 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t70) @t74 @t78) (|tptp.'@<_succeeds'| @t71 @t103)))) % 27.87/28.53 (assume @p107 @t133) % 27.87/28.53 (assume @p108 @t136) % 27.87/28.53 (assume @p109 true) % 27.87/28.53 (step @p110 :rule aci_norm :args ((= (or (or @t138 @t137) @t121) @t139))) % 27.87/28.53 (step @p111 :rule refl :args (@t121)) % 27.87/28.53 (step @p112 :rule bool-and-de-morgan :args (@t74 @t120 true)) % 27.87/28.53 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t134) @t121))) % 27.87/28.53 (step @p114 :rule trans :premises (@p113 @p110)) % 27.87/28.53 (step @p115 :rule bool-impl-elim :args (@t134 @t121)) % 27.87/28.53 (step @p116 :rule trans :premises (@p115 @p114)) % 27.87/28.53 (step @p117 :rule cong :premises (@p116) :args (@t135)) % 27.87/28.53 (step @p118 :rule cong :premises (@p117) :args (@t136)) % 27.87/28.53 (step @p119 :rule eq_resolve :premises (@p108 @p118)) % 27.87/28.53 (step @p120 :rule alpha_equiv :args ((forall (@list @t141 @t142 @t140) (or (not (tptp.nat_succeeds @t141)) (not (|tptp.'@=<_succeeds'| @t142 @t140)) (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t141 @t142) (|tptp.'@+'| @t141 @t140)))) @t143 (@list @t70 @t69 @t71))) % 27.87/28.53 (step @p121 :rule alpha_equiv :args (@t150 (@list @t145 @t144 @t71) @t143)) % 27.87/28.53 (step @p122 :rule trans :premises (@p121 @p120)) % 27.87/28.53 (step @p123 :rule equiv_elim1 :premises (@p122)) % 27.87/28.53 (step @p124 :rule reordering :premises (@p123) :args ((or @t152 @t151))) % 27.87/28.53 (step @p125 :rule chain_m_resolution :premises (@p124 @p119) :args (@t151 @t153 (@list @t152))) % 27.87/28.53 (step @p126 :rule aci_norm :args ((= @t155 @t148))) % 27.87/28.53 (step @p127 :rule cong :premises (@p126) :args (@t156)) % 27.87/28.53 (step @p128 :rule quant-merge-prenex :args ((= (forall @t80 @t158) @t156))) % 27.87/28.53 (step @p129 :rule alpha_equiv :args (@t159 (@list @t145 @t144) @t160)) % 27.87/28.53 (step @p130 :rule refl :args (@t138)) % 27.87/28.53 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t161)) % 27.87/28.53 (step @p132 :rule quant-miniscope-or :args ((= @t158 @t161))) % 27.87/28.53 (step @p133 :rule trans :premises (@p132 @p131)) % 27.87/28.53 (step @p134 :rule symm :premises (@p133)) % 27.87/28.53 (step @p135 :rule cong :premises (@p134) :args ((forall @t80 (or @t138 @t162)))) % 27.87/28.53 (step @p136 :rule trans :premises (@p135 @p128)) % 27.87/28.53 (step @p137 :rule trans :premises (@p136 @p127)) % 27.87/28.53 (step @p138 :rule bool-impl-elim :args (@t74 @t162)) % 27.87/28.53 (step @p139 :rule cong :premises (@p138) :args ((forall @t80 (=> @t74 @t162)))) % 27.87/28.53 (step @p140 :rule trans :premises (@p139 @p137)) % 27.87/28.53 (step @p141 :rule bool-impl-elim :args (@t120 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@p326 :rule eq_resolve :premises (@p21 @p325)) % 27.87/28.53 (step @p327 :rule instantiate :premises (@p326) :args ((@list @t208 @t207))) % 27.87/28.53 (step @p328 :rule cnf_equiv_pos2 :args (@t253)) % 27.87/28.53 (step @p329 :rule reordering :premises (@p328) :args ((or @t209 @t254 (not @t253)))) % 27.87/28.53 (step @p330 :rule chain_m_resolution :premises (@p329 @p222 @p327) :args (@t254 @t255 (@list @t209 @t253))) % 27.87/28.53 (step @p331 :rule bool-double-not-elim :args (@t250)) % 27.87/28.53 (step @p332 :rule refl :args (@t252)) % 27.87/28.53 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or @t252 (not @t251)))) % 27.87/28.53 (step @p334 :rule cnf_or_neg :args (@t252 0)) % 27.87/28.53 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 27.87/28.53 (step @p336 :rule reordering :premises (@p335) :args ((or @t250 @t252))) % 27.87/28.53 (step @p337 :rule chain_m_resolution :premises (@p336 @p330) :args (@t250 @t153 (@list @t252))) % 27.87/28.53 (step @p338 :rule refl 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false) (@list @t250))) % 27.87/28.53 (step @p353 :rule cnf_or_pos :args (@t263)) % 27.87/28.53 (step @p354 :rule reordering :premises (@p353) :args ((or @t256 @t261 @t262 (not @t263)))) % 27.87/28.53 (assume-push @p450 @t219) % 27.87/28.53 (assume-push @p451 @t232) % 27.87/28.53 (assume-push @p452 @t232) % 27.87/28.53 (assume-push @p453 @t219) % 27.87/28.53 (step @p359 :rule refl :args (@t203)) % 27.87/28.53 (step @p360 :rule cong :premises (@p450 @p359) :args (@t207)) % 27.87/28.53 (step @p361 :rule trans :premises (@p360 @p451)) % 27.87/28.53 (step-pop @p454 :rule scope :premises (@p361)) % 27.87/28.53 (step-pop @p455 :rule scope :premises (@p454)) % 27.87/28.53 (step @p362 :rule process_scope :premises (@p455) :args (@t260)) % 27.87/28.53 (step @p365 :rule and_intro :premises (@p451 @p450)) % 27.87/28.53 (step @p366 :rule modus_ponens :premises (@p365 @p362)) % 27.87/28.53 (step-pop @p456 :rule scope :premises (@p366)) % 27.87/28.53 (step-pop @p457 :rule scope :premises (@p456)) % 27.87/28.53 (step @p367 :rule process_scope :premises (@p457) :args (@t260)) % 27.87/28.53 (step @p370 :rule implies_elim :premises (@p367)) % 27.87/28.53 (step @p371 :rule cnf_and_neg :args (@t264)) % 27.87/28.53 (step @p372 :rule resolution :premises (@p371 @p370) :args (true @t264)) % 27.87/28.53 (step @p373 :rule chain_m_resolution :premises (@p372 @p354 @p352 @p303 @p220 @p301 @p283 @p278 @p276 @p275 @p273 @p269 @p264 @p258 @p251 @p249 @p223) :args (@t220 (@list true false false false false false false false false false false false true true true true) (@list @t260 @t263 @t238 @t205 @t240 @t239 @t236 @t237 @t232 @t233 @t214 @t216 @t221 @t222 @t211 @t226))) % 27.87/28.53 (step @p374 :rule bool-double-not-elim :args (@t219)) % 27.87/28.53 (step @p375 :rule nary_cong :premises (@p260 @p374) :args ((or @t221 (not @t220)))) % 27.87/28.53 (step @p376 :rule cnf_or_neg :args (@t221 0)) % 27.87/28.53 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 27.87/28.53 (step @p378 :rule reordering :premises (@p377) :args ((or @t219 @t221))) % 27.87/28.53 (step @p379 :rule chain_m_resolution :premises (@p378 @p373) :args (@t221 @t153 (@list @t219))) % 27.87/28.53 (step @p380 :rule chain_m_resolution :premises (@p258 @p251 @p379) :args (@t211 @t255 (@list @t222 @t221))) % 27.87/28.53 (step @p381 :rule eq-symm :args (@t92 @t70)) % 27.87/28.53 (step @p382 :rule cong :premises (@p381) :args (@t94)) % 27.87/28.53 (step @p383 :rule eq_resolve :premises (@p45 @p382)) % 27.87/28.53 (step @p384 :rule instantiate :premises (@p383) :args ((@list @t204))) % 27.87/28.53 (step @p385 :rule instantiate :premises (@p383) :args ((@list @t203))) % 27.87/28.53 (step @p386 :rule refl :args (@t267)) % 27.87/28.53 (step @p387 :rule refl :args (@t270)) % 27.87/28.53 (step @p388 :rule bool-double-not-elim :args (@t209)) % 27.87/28.53 (step @p389 :rule refl :args (@t210)) % 27.87/28.53 (step @p390 :rule nary_cong :premises (@p224 @p389 @p388 @p387 @p386) :args ((or @t212 @t210 (not @t225) @t270 @t267))) % 27.87/28.53 (assume-push @p458 @t225) % 27.87/28.53 (assume-push @p459 @t211) % 27.87/28.53 (assume-push @p460 @t269) % 27.87/28.53 (assume-push @p461 @t266) % 27.87/28.53 (assume-push @p462 @t205) % 27.87/28.53 (step @p396 :rule evaluate :args ((= true false))) % 27.87/28.53 (step @p397 :rule false_intro :premises (@p222)) % 27.87/28.53 (step @p359 :rule refl :args (@t203)) % 27.87/28.53 (step @p398 :rule cong :premises (@p459 @p359) :args (@t265)) % 27.87/28.53 (step @p399 :rule trans :premises (@p385 @p398)) % 27.87/28.53 (step @p288 :rule refl :args (@t204)) % 27.87/28.53 (step @p400 :rule cong :premises (@p459 @p288) :args (@t268)) % 27.87/28.53 (step @p401 :rule trans :premises (@p384 @p400)) % 27.87/28.53 (step @p402 :rule cong :premises (@p401 @p399) :args (@t205)) % 27.87/28.53 (step @p403 :rule true_intro :premises (@p220)) % 27.87/28.53 (step @p404 :rule symm :premises (@p403)) % 27.87/28.53 (step @p405 :rule trans :premises (@p404 @p402 @p397)) % 27.87/28.53 (step @p406 false :rule eq_resolve :premises (@p405 @p396)) % 27.87/28.53 (step-pop @p463 :rule scope :premises (@p406)) % 27.87/28.53 (step-pop @p464 :rule scope :premises (@p463)) % 27.87/28.53 (step-pop @p465 :rule scope :premises (@p464)) % 27.87/28.53 (step-pop @p466 :rule scope :premises (@p465)) % 27.87/28.53 (step-pop @p467 :rule scope :premises (@p466)) % 27.87/28.53 (step @p407 :rule process_scope :premises (@p467) :args (false)) % 27.87/28.53 (assume-push @p468 @t211) % 27.87/28.53 (assume-push @p469 @t205) % 27.87/28.53 (assume-push @p470 @t225) % 27.87/28.53 (assume-push @p471 @t269) % 27.87/28.53 (assume-push @p472 @t266) % 27.87/28.53 (step @p418 :rule and_intro :premises (@p222 @p468 @p384 @p385 @p220)) % 27.87/28.53 (step-pop @p473 :rule scope :premises (@p418)) % 27.87/28.53 (step-pop @p474 :rule scope :premises (@p473)) % 27.87/28.53 (step-pop @p475 :rule scope :premises (@p474)) % 27.87/28.53 (step-pop @p476 :rule scope :premises (@p475)) % 27.87/28.53 (step-pop @p477 :rule scope :premises (@p476)) % 27.87/28.53 (step @p419 :rule process_scope :premises (@p477) :args (@t271)) % 27.87/28.53 (step @p425 :rule implies_elim :premises (@p419)) % 27.87/28.53 (step @p426 :rule resolution :premises (@p425 @p407) :args (true @t271)) % 27.87/28.53 (step @p427 :rule not_and :premises (@p426)) % 27.87/28.53 (step @p428 :rule eq_resolve :premises (@p427 @p390)) % 27.87/28.53 (step @p429 false :rule chain_m_resolution :premises (@p428 @p385 @p384 @p380 @p222 @p220) :args (false (@list false false false true false) (@list @t266 @t269 @t211 @t209 @t205))) % 27.87/28.53 ) % 27.87/28.53 % SZS output end Proof % 27.87/28.53 % cvc5 exiting %------------------------------------------------------------------------------