%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX042+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 : n023.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 27.91s 28.79s % Output : Proof 27.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX042+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 : n023.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 22:54:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 27.91/28.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.91/28.79 --- Run --no-e-matching --full-saturate-quant at 6... % 27.91/28.79 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.91/28.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.91/28.79 % SZS status Theorem % 27.91/28.79 % SZS output start Proof % 27.91/28.79 ( % 27.91/28.79 (declare-sort $$unsorted 0) % 27.91/28.79 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 27.91/28.79 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 27.91/28.79 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const tptp.gr (-> $$unsorted Bool)) % 27.91/28.79 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const |tptp.'0'| $$unsorted) % 27.91/28.79 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 27.91/28.79 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 27.91/28.79 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 27.91/28.79 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 27.91/28.79 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 27.91/28.79 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 27.91/28.79 (define @t1 () (@var "Xx3" $$unsorted)) % 27.91/28.79 (define @t2 () (tptp.s @t1)) % 27.91/28.79 (define @t3 () (@var "Xx5" $$unsorted)) % 27.91/28.79 (define @t4 () (@var "Xx4" $$unsorted)) % 27.91/28.79 (define @t5 () (tptp.s @t3)) % 27.91/28.79 (define @t6 () (tptp.s @t4)) % 27.91/28.79 (define @t7 () (@list @t4 @t3)) % 27.91/28.79 (define @t8 () (@var "Xx6" $$unsorted)) % 27.91/28.79 (define @t9 () (@var "Xx9" $$unsorted)) % 27.91/28.79 (define @t10 () (@var "Xx8" $$unsorted)) % 27.91/28.79 (define @t11 () (@var "Xx7" $$unsorted)) % 27.91/28.79 (define @t12 () (tptp.times_fails @t11 @t10 @t9)) % 27.91/28.79 (define @t13 () (tptp.times_succeeds @t11 @t10 @t9)) % 27.91/28.79 (define @t14 () (@list @t11 @t10 @t9)) % 27.91/28.79 (define @t15 () (@var "Xx12" $$unsorted)) % 27.91/28.79 (define @t16 () (@var "Xx11" $$unsorted)) % 27.91/28.79 (define @t17 () (@var "Xx10" $$unsorted)) % 27.91/28.79 (define @t18 () (tptp.plus_fails @t17 @t16 @t15)) % 27.91/28.79 (define @t19 () (tptp.plus_succeeds @t17 @t16 @t15)) % 27.91/28.79 (define @t20 () (@list @t17 @t16 @t15)) % 27.91/28.79 (define @t21 () (@var "Xx14" $$unsorted)) % 27.91/28.79 (define @t22 () (@var "Xx13" $$unsorted)) % 27.91/28.79 (define @t23 () (|tptp.'@=<_fails'| @t22 @t21)) % 27.91/28.79 (define @t24 () (|tptp.'@=<_succeeds'| @t22 @t21)) % 27.91/28.79 (define @t25 () (@list @t22 @t21)) % 27.91/28.79 (define @t26 () (@var "Xx16" $$unsorted)) % 27.91/28.79 (define @t27 () (@var "Xx15" $$unsorted)) % 27.91/28.79 (define @t28 () (|tptp.'@<_fails'| @t27 @t26)) % 27.91/28.79 (define @t29 () (|tptp.'@<_succeeds'| @t27 @t26)) % 27.91/28.79 (define @t30 () (@list @t27 @t26)) % 27.91/28.79 (define @t31 () (@var "Xx17" $$unsorted)) % 27.91/28.79 (define @t32 () (tptp.nat_fails @t31)) % 27.91/28.79 (define @t33 () (tptp.nat_succeeds @t31)) % 27.91/28.79 (define @t34 () (@list @t31)) % 27.91/28.79 (define @t35 () (= @t1 |tptp.'0'|)) % 27.91/28.79 (define @t36 () (@var "Xx1" $$unsorted)) % 27.91/28.79 (define @t37 () (= @t36 |tptp.'0'|)) % 27.91/28.79 (define @t38 () (@var "Xx2" $$unsorted)) % 27.91/28.79 (define @t39 () (= @t36 @t6)) % 27.91/28.79 (define @t40 () (@list @t36 @t38 @t1)) % 27.91/28.79 (define @t41 () (not @t37)) % 27.91/28.79 (define @t42 () (tptp.times_fails @t4 @t38 @t3)) % 27.91/28.79 (define @t43 () (not @t39)) % 27.91/28.79 (define @t44 () (or @t41 true)) % 27.91/28.79 (define @t45 () (= @t1 @t38)) % 27.91/28.79 (define @t46 () (= @t1 @t5)) % 27.91/28.79 (define @t47 () (not @t46)) % 27.91/28.79 (define @t48 () (= @t38 @t6)) % 27.91/28.79 (define @t49 () (= @t36 @t2)) % 27.91/28.79 (define @t50 () (@list @t1 @t4)) % 27.91/28.79 (define @t51 () (@list @t36 @t38)) % 27.91/28.79 (define @t52 () (not @t48)) % 27.91/28.79 (define @t53 () (not @t49)) % 27.91/28.79 (define @t54 () (= @t38 @t5)) % 27.91/28.79 (define @t55 () (and @t37 @t54)) % 27.91/28.79 (define @t56 () (@list @t3)) % 27.91/28.79 (define @t57 () (exists @t56 @t55)) % 27.91/28.79 (define @t58 () (|tptp.'@<_succeeds'| @t1 @t4)) % 27.91/28.79 (define @t59 () (and @t49 @t48 @t58)) % 27.91/28.79 (define @t60 () (exists @t50 @t59)) % 27.91/28.79 (define @t61 () (or @t60 @t57)) % 27.91/28.79 (define @t62 () (|tptp.'@<_succeeds'| @t36 @t38)) % 27.91/28.79 (define @t63 () (= @t62 @t61)) % 27.91/28.79 (define @t64 () (forall @t51 @t63)) % 27.91/28.79 (define @t65 () (tptp.nat_succeeds @t38)) % 27.91/28.79 (define @t66 () (tptp.s @t38)) % 27.91/28.79 (define @t67 () (= @t36 @t66)) % 27.91/28.79 (define @t68 () (@list @t38)) % 27.91/28.79 (define @t69 () (@list @t36)) % 27.91/28.79 (define @t70 () (not @t67)) % 27.91/28.79 (define @t71 () (@var "Xz" $$unsorted)) % 27.91/28.79 (define @t72 () (@var "Xy" $$unsorted)) % 27.91/28.79 (define @t73 () (@var "Xx" $$unsorted)) % 27.91/28.79 (define @t74 () (tptp.plus_succeeds @t73 @t72 @t71)) % 27.91/28.79 (define @t75 () (|tptp.'@+'| @t73 @t72)) % 27.91/28.79 (define @t76 () (tptp.nat_succeeds @t73)) % 27.91/28.79 (define @t77 () (@list @t73 @t72 @t71)) % 27.91/28.79 (define @t78 () (tptp.times_succeeds @t73 @t72 @t71)) % 27.91/28.79 (define @t79 () (|tptp.'@*'| @t73 @t72)) % 27.91/28.79 (define @t80 () (tptp.nat_succeeds @t72)) % 27.91/28.79 (define @t81 () (and @t76 @t80)) % 27.91/28.79 (define @t82 () (@list @t73)) % 27.91/28.79 (define @t83 () (tptp.gr @t73)) % 27.91/28.79 (define @t84 () (tptp.plus_terminates @t73 @t72 @t71)) % 27.91/28.79 (define @t85 () (tptp.nat_succeeds @t71)) % 27.91/28.79 (define @t86 () (tptp.gr @t71)) % 27.91/28.79 (define @t87 () (tptp.gr @t72)) % 27.91/28.79 (define @t88 () (@list @t71)) % 27.91/28.79 (define @t89 () (@list @t73 @t72)) % 27.91/28.79 (define @t90 () (@var "Xz2" $$unsorted)) % 27.91/28.79 (define @t91 () (@var "Xz1" $$unsorted)) % 27.91/28.79 (define @t92 () (= @t91 @t90)) % 27.91/28.79 (define @t93 () (@list @t73 @t72 @t91 @t90)) % 27.91/28.79 (define @t94 () (|tptp.'@+'| |tptp.'0'| @t72)) % 27.91/28.79 (define @t95 () (@list @t72)) % 27.91/28.79 (define @t96 () (forall @t95 (= @t94 @t72))) % 27.91/28.79 (define @t97 () (tptp.s @t73)) % 27.91/28.79 (define @t98 () (|tptp.'@+'| @t97 @t72)) % 27.91/28.79 (define @t99 () (= @t98 (tptp.s @t75))) % 27.91/28.79 (define @t100 () (forall @t89 (=> @t76 @t99))) % 27.91/28.79 (define @t101 () (and @t76 @t80 @t85)) % 27.91/28.79 (define @t102 () (tptp.s @t72)) % 27.91/28.79 (define @t103 () (|tptp.'@+'| @t73 @t71)) % 27.91/28.79 (define @t104 () (|tptp.'@*'| @t72 @t71)) % 27.91/28.79 (define @t105 () (|tptp.'@*'| @t72 @t73)) % 27.91/28.79 (define @t106 () (tptp.s |tptp.'0'|)) % 27.91/28.79 (define @t107 () (|tptp.'@<_terminates'| @t73 @t72)) % 27.91/28.79 (define @t108 () (|tptp.'@<_succeeds'| @t73 @t72)) % 27.91/28.79 (define @t109 () (tptp.s @t71)) % 27.91/28.79 (define @t110 () (|tptp.'@<_succeeds'| @t73 @t71)) % 27.91/28.79 (define @t111 () (|tptp.'@<_succeeds'| @t73 @t102)) % 27.91/28.79 (define @t112 () (|tptp.'@<_succeeds'| @t72 @t71)) % 27.91/28.79 (define @t113 () (= @t73 @t72)) % 27.91/28.79 (define @t114 () (or @t108 @t113)) % 27.91/28.79 (define @t115 () (= @t73 |tptp.'0'|)) % 27.91/28.79 (define @t116 () (|tptp.'@=<_terminates'| @t73 @t72)) % 27.91/28.79 (define @t117 () (|tptp.'@=<_succeeds'| @t73 @t72)) % 27.91/28.79 (define @t118 () (|tptp.'@=<_succeeds'| @t72 @t73)) % 27.91/28.79 (define @t119 () (|tptp.'@=<_succeeds'| @t72 @t71)) % 27.91/28.79 (define @t120 () (|tptp.'@<_succeeds'| @t75 @t103)) % 27.91/28.79 (define @t121 () (@list @t72 @t71)) % 27.91/28.79 (define @t122 () (forall @t121 (=> @t112 @t120))) % 27.91/28.79 (define @t123 () (=> @t76 @t122)) % 27.91/28.79 (define @t124 () (forall @t82 @t123)) % 27.91/28.79 (define @t125 () (|tptp.'@<_succeeds'| (|tptp.'@+'| @t38 @t72) (|tptp.'@+'| @t38 @t71))) % 27.91/28.79 (define @t126 () (forall @t121 (=> @t112 @t125))) % 27.91/28.79 (define @t127 () (and (= @t73 @t66) @t65 @t126)) % 27.91/28.79 (define @t128 () (exists @t68 @t127)) % 27.91/28.79 (define @t129 () (or @t128 @t115)) % 27.91/28.79 (define @t130 () (=> @t129 @t122)) % 27.91/28.79 (define @t131 () (forall @t82 @t130)) % 27.91/28.79 (define @t132 () (=> @t131 @t124)) % 27.91/28.79 (define @t133 () (and @t76 @t112)) % 27.91/28.79 (define @t134 () (forall @t77 (=> @t133 @t120))) % 27.91/28.79 (define @t135 () (not @t134)) % 27.91/28.79 (define @t136 () (not @t112)) % 27.91/28.79 (define @t137 () (not @t76)) % 27.91/28.79 (define @t138 () (or @t137 @t136 @t120)) % 27.91/28.79 (define @t139 () (@var "BOUND_VARIABLE_9483" $$unsorted)) % 27.91/28.79 (define @t140 () (@var "BOUND_VARIABLE_9484" $$unsorted)) % 27.91/28.79 (define @t141 () (@var "BOUND_VARIABLE_9482" $$unsorted)) % 27.91/28.79 (define @t142 () (@list @t141 @t139 @t140)) % 27.91/28.79 (define @t143 () (@var "BOUND_VARIABLE_8615" $$unsorted)) % 27.91/28.79 (define @t144 () (@var "BOUND_VARIABLE_8613" $$unsorted)) % 27.91/28.79 (define @t145 () (|tptp.'@<_succeeds'| (|tptp.'@+'| @t73 @t144) (|tptp.'@+'| @t73 @t143))) % 27.91/28.79 (define @t146 () (not (|tptp.'@<_succeeds'| @t144 @t143))) % 27.91/28.79 (define @t147 () (or @t137 @t146 @t145)) % 27.91/28.79 (define @t148 () (@list @t73 @t144 @t143)) % 27.91/28.79 (define @t149 () (forall @t148 @t147)) % 27.91/28.79 (define @t150 () (not @t149)) % 27.91/28.79 (define @t151 () (forall @t77 @t138)) % 27.91/28.79 (define @t152 () (@list true)) % 27.91/28.79 (define @t153 () (or @t146 @t145)) % 27.91/28.79 (define @t154 () (or @t137 @t153)) % 27.91/28.79 (define @t155 () (forall @t148 @t154)) % 27.91/28.79 (define @t156 () (@list @t144 @t143)) % 27.91/28.79 (define @t157 () (forall @t156 @t154)) % 27.91/28.79 (define @t158 () (forall @t156 @t153)) % 27.91/28.79 (define @t159 () (@list @t72 @t71)) % 27.91/28.79 (define @t160 () (or @t137 @t158)) % 27.91/28.79 (define @t161 () (forall @t121 (or @t136 @t120))) % 27.91/28.79 (define @t162 () (@var "BOUND_VARIABLE_8591" $$unsorted)) % 27.91/28.79 (define @t163 () (@var "BOUND_VARIABLE_8589" $$unsorted)) % 27.91/28.79 (define @t164 () (|tptp.'@<_succeeds'| (|tptp.'@+'| @t73 @t163) (|tptp.'@+'| @t73 @t162))) % 27.91/28.79 (define @t165 () (not (|tptp.'@<_succeeds'| @t163 @t162))) % 27.91/28.79 (define @t166 () (= |tptp.'0'| @t73)) % 27.91/28.79 (define @t167 () (not @t166)) % 27.91/28.79 (define @t168 () (@var "BOUND_VARIABLE_8574" $$unsorted)) % 27.91/28.79 (define @t169 () (not (forall @t121 (or @t136 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t168 @t72) (|tptp.'@+'| @t168 @t71)))))) % 27.91/28.79 (define @t170 () (not (tptp.nat_succeeds @t168))) % 27.91/28.79 (define @t171 () (tptp.s @t168)) % 27.91/28.79 (define @t172 () (not (= @t171 @t73))) % 27.91/28.79 (define @t173 () (or @t172 @t170 @t169)) % 27.91/28.79 (define @t174 () (and @t173 @t167)) % 27.91/28.79 (define @t175 () (or @t174 @t165 @t164)) % 27.91/28.79 (define @t176 () (or @t165 @t164)) % 27.91/28.79 (define @t177 () (or @t174 @t176)) % 27.91/28.79 (define @t178 () (@list @t73 @t168 @t163 @t162)) % 27.91/28.79 (define @t179 () (forall @t178 @t177)) % 27.91/28.79 (define @t180 () (forall (@list @t168 @t163 @t162) @t177)) % 27.91/28.79 (define @t181 () (forall (@list @t163 @t162) @t176)) % 27.91/28.79 (define @t182 () (@list @t168)) % 27.91/28.79 (define @t183 () (forall @t182 @t167)) % 27.91/28.79 (define @t184 () (forall @t182 @t173)) % 27.91/28.79 (define @t185 () (and @t184 @t183)) % 27.91/28.79 (define @t186 () (forall @t182 @t174)) % 27.91/28.79 (define @t187 () (or @t186 @t181)) % 27.91/28.79 (define @t188 () (forall @t121 (or @t136 @t125))) % 27.91/28.79 (define @t189 () (not @t188)) % 27.91/28.79 (define @t190 () (not @t65)) % 27.91/28.79 (define @t191 () (= @t66 @t73)) % 27.91/28.79 (define @t192 () (not @t191)) % 27.91/28.79 (define @t193 () (or @t192 @t190 @t189)) % 27.91/28.79 (define @t194 () (forall @t68 @t193)) % 27.91/28.79 (define @t195 () (not @t194)) % 27.91/28.79 (define @t196 () (or @t195 @t166)) % 27.91/28.79 (define @t197 () (and @t191 @t65 @t188)) % 27.91/28.79 (define @t198 () (forall @t68 (not @t197))) % 27.91/28.79 (define @t199 () (not @t198)) % 27.91/28.79 (define @t200 () (forall @t178 (or (and (or (not (= @t73 @t171)) @t170 @t169) @t167) @t165 @t164))) % 27.91/28.79 (define @t201 () (not @t200)) % 27.91/28.79 (define @t202 () (@quantifiers_skolemize @t200 3)) % 27.91/28.79 (define @t203 () (@quantifiers_skolemize @t200 2)) % 27.91/28.79 (define @t204 () (|tptp.'@<_succeeds'| @t203 @t202)) % 27.91/28.79 (define @t205 () (@quantifiers_skolemize @t200 0)) % 27.91/28.79 (define @t206 () (|tptp.'@+'| @t205 @t202)) % 27.91/28.79 (define @t207 () (|tptp.'@+'| @t205 @t203)) % 27.91/28.79 (define @t208 () (|tptp.'@<_succeeds'| @t207 @t206)) % 27.91/28.79 (define @t209 () (not @t204)) % 27.91/28.79 (define @t210 () (= |tptp.'0'| @t205)) % 27.91/28.79 (define @t211 () (not @t210)) % 27.91/28.79 (define @t212 () (@quantifiers_skolemize @t200 1)) % 27.91/28.79 (define @t213 () (forall @t121 (or @t136 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t212 @t72) (|tptp.'@+'| @t212 @t71))))) % 27.91/28.79 (define @t214 () (not @t213)) % 27.91/28.79 (define @t215 () (tptp.nat_succeeds @t212)) % 27.91/28.79 (define @t216 () (not @t215)) % 27.91/28.79 (define @t217 () (tptp.s @t212)) % 27.91/28.79 (define @t218 () (= @t205 @t217)) % 27.91/28.79 (define @t219 () (not @t218)) % 27.91/28.79 (define @t220 () (or @t219 @t216 @t214)) % 27.91/28.79 (define @t221 () (and @t220 @t211)) % 27.91/28.79 (define @t222 () (or @t221 @t209 @t208)) % 27.91/28.79 (define @t223 () (@list @t222)) % 27.91/28.79 (define @t224 () (not @t208)) % 27.91/28.79 (define @t225 () (= |tptp.'0'| @t217)) % 27.91/28.79 (define @t226 () (not @t225)) % 27.91/28.79 (define @t227 () (and @t218 @t226)) % 27.91/28.79 (define @t228 () (not @t220)) % 27.91/28.79 (define @t229 () (|tptp.'@+'| @t212 @t203)) % 27.91/28.79 (define @t230 () (tptp.s @t229)) % 27.91/28.79 (define @t231 () (= (|tptp.'@+'| @t217 @t203) @t230)) % 27.91/28.79 (define @t232 () (or @t216 @t231)) % 27.91/28.79 (define @t233 () (|tptp.'@+'| @t212 @t202)) % 27.91/28.79 (define @t234 () (tptp.s @t233)) % 27.91/28.79 (define @t235 () (= (|tptp.'@+'| @t217 @t202) @t234)) % 27.91/28.79 (define @t236 () (or @t216 @t235)) % 27.91/28.79 (define @t237 () (|tptp.'@<_succeeds'| @t229 @t233)) % 27.91/28.79 (define @t238 () (or @t209 @t237)) % 27.91/28.79 (define @t239 () (= @t207 @t230)) % 27.91/28.79 (define @t240 () (and @t218 @t231)) % 27.91/28.79 (define @t241 () (= @t206 @t234)) % 27.91/28.79 (define @t242 () (and @t218 @t235)) % 27.91/28.79 (define @t243 () (= @t5 @t38)) % 27.91/28.79 (define @t244 () (not @t243)) % 27.91/28.79 (define @t245 () (forall @t56 @t244)) % 27.91/28.79 (define @t246 () (not @t245)) % 27.91/28.79 (define @t247 () (= |tptp.'0'| @t36)) % 27.91/28.79 (define @t248 () (not @t247)) % 27.91/28.79 (define @t249 () (not @t58)) % 27.91/28.79 (define @t250 () (= @t6 @t38)) % 27.91/28.79 (define @t251 () (not @t250)) % 27.91/28.79 (define @t252 () (= @t2 @t36)) % 27.91/28.79 (define @t253 () (not @t252)) % 27.91/28.79 (define @t254 () (or @t253 @t251 @t249)) % 27.91/28.79 (define @t255 () (not (forall @t50 @t254))) % 27.91/28.79 (define @t256 () (or @t248 @t245)) % 27.91/28.79 (define @t257 () (or @t255 (not @t256))) % 27.91/28.79 (define @t258 () (= @t62 @t257)) % 27.91/28.79 (define @t259 () (and @t247 @t243)) % 27.91/28.79 (define @t260 () (forall @t56 (not @t259))) % 27.91/28.79 (define @t261 () (not @t260)) % 27.91/28.79 (define @t262 () (and @t252 @t250 @t58)) % 27.91/28.79 (define @t263 () (forall @t50 (not @t262))) % 27.91/28.79 (define @t264 () (not @t263)) % 27.91/28.79 (define @t265 () (forall @t50 (or (not (= @t2 @t207)) (not (= @t6 @t206)) @t249))) % 27.91/28.79 (define @t266 () (not @t265)) % 27.91/28.79 (define @t267 () (or @t266 (and (= |tptp.'0'| @t207) (not (forall @t56 (not (= @t5 @t206))))))) % 27.91/28.79 (define @t268 () (= @t208 @t267)) % 27.91/28.79 (define @t269 () (not @t267)) % 27.91/28.79 (define @t270 () (@list true false)) % 27.91/28.79 (define @t271 () (not @t237)) % 27.91/28.79 (define @t272 () (not (= @t234 @t206))) % 27.91/28.79 (define @t273 () (not (= @t230 @t207))) % 27.91/28.79 (define @t274 () (or @t273 @t272 @t271)) % 27.91/28.79 (define @t275 () (not @t241)) % 27.91/28.79 (define @t276 () (not @t239)) % 27.91/28.79 (define @t277 () (or @t276 @t275 @t271)) % 27.91/28.79 (define @t278 () (|tptp.'@+'| |tptp.'0'| @t202)) % 27.91/28.79 (define @t279 () (= @t202 @t278)) % 27.91/28.79 (define @t280 () (not @t279)) % 27.91/28.79 (define @t281 () (|tptp.'@+'| |tptp.'0'| @t203)) % 27.91/28.79 (define @t282 () (= @t203 @t281)) % 27.91/28.79 (define @t283 () (not @t282)) % 27.91/28.79 (define @t284 () (and @t224 @t210 @t282 @t279 @t204)) % 27.91/28.79 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 27.91/28.79 (assume @p2 (forall @t7 (=> (= @t6 @t5) (= @t4 @t3)))) % 27.91/28.79 (assume @p3 (tptp.gr |tptp.'0'|)) % 27.91/28.79 (assume @p4 (forall (@list @t8) (= (tptp.gr @t8) (tptp.gr (tptp.s @t8))))) % 27.91/28.79 (assume @p5 (forall @t14 (not (and @t13 @t12)))) % 27.91/28.79 (assume @p6 (forall @t14 (=> (tptp.times_terminates @t11 @t10 @t9) (or @t13 @t12)))) % 27.91/28.79 (assume @p7 (forall @t20 (not (and @t19 @t18)))) % 27.91/28.79 (assume @p8 (forall @t20 (=> (tptp.plus_terminates @t17 @t16 @t15) (or @t19 @t18)))) % 27.91/28.79 (assume @p9 (forall @t25 (not (and @t24 @t23)))) % 27.91/28.79 (assume @p10 (forall @t25 (=> (|tptp.'@=<_terminates'| @t22 @t21) (or @t24 @t23)))) % 27.91/28.79 (assume @p11 (forall @t30 (not (and @t29 @t28)))) % 27.91/28.79 (assume @p12 (forall @t30 (=> (|tptp.'@<_terminates'| @t27 @t26) (or @t29 @t28)))) % 27.91/28.79 (assume @p13 (forall @t34 (not (and @t33 @t32)))) % 27.91/28.79 (assume @p14 (forall @t34 (=> (tptp.nat_terminates @t31) (or @t33 @t32)))) % 27.91/28.79 (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))))) % 27.91/28.79 (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)))))) % 27.91/28.79 (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)))) % 27.91/28.79 (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))))) % 27.91/28.79 (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)))))) % 27.91/28.79 (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)))) % 27.91/28.79 (assume @p21 (forall @t51 (= (|tptp.'@=<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@=<_succeeds'| @t1 @t4))) @t37)))) % 27.91/28.79 (assume @p22 (forall @t51 (= (|tptp.'@=<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@=<_fails'| @t1 @t4))) @t41)))) % 27.91/28.79 (assume @p23 (forall @t51 (= (|tptp.'@=<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 27.91/28.79 (assume @p24 @t64) % 27.91/28.79 (assume @p25 (forall @t51 (= (|tptp.'@<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@<_fails'| @t1 @t4))) (forall @t56 (or @t41 (not @t54))))))) % 27.91/28.79 (assume @p26 (forall @t51 (= (|tptp.'@<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t56 (and true @t44)))))) % 27.91/28.79 (assume @p27 (forall @t69 (= (tptp.nat_succeeds @t36) (or (exists @t68 (and @t67 @t65)) @t37)))) % 27.91/28.79 (assume @p28 (forall @t69 (= (tptp.nat_fails @t36) (and (forall @t68 (or @t70 (tptp.nat_fails @t38))) @t41)))) % 27.91/28.79 (assume @p29 (forall @t69 (= (tptp.nat_terminates @t36) (and (forall @t68 (and true (or @t70 (tptp.nat_terminates @t38)))) true)))) % 27.91/28.79 (assume @p30 (forall @t77 (=> @t76 (= (= @t75 @t71) @t74)))) % 27.91/28.79 (assume @p31 (forall @t77 (=> @t81 (= (= @t79 @t71) @t78)))) % 27.91/28.79 (assume @p32 (forall @t82 (=> @t76 (tptp.nat_terminates @t73)))) % 27.91/28.79 (assume @p33 (forall @t82 (=> @t76 @t83))) % 27.91/28.79 (assume @p34 (forall @t77 (=> @t76 @t84))) % 27.91/28.79 (assume @p35 (forall @t77 (=> @t85 @t84))) % 27.91/28.79 (assume @p36 (forall @t77 (=> @t74 @t76))) % 27.91/28.79 (assume @p37 (forall @t77 (=> (and @t74 @t80) @t85))) % 27.91/28.79 (assume @p38 (forall @t77 (=> (and @t74 @t85) @t80))) % 27.91/28.79 (assume @p39 (forall @t77 (=> @t74 @t84))) % 27.91/28.79 (assume @p40 (forall @t77 (=> @t74 @t83))) % 27.91/28.79 (assume @p41 (forall @t77 (=> (and @t74 @t87) @t86))) % 27.91/28.79 (assume @p42 (forall @t77 (=> (and @t74 @t86) @t87))) % 27.91/28.79 (assume @p43 (forall @t89 (=> @t76 (exists @t88 @t74)))) % 27.91/28.79 (assume @p44 (forall @t93 (=> (and (tptp.plus_succeeds @t73 @t72 @t91) (tptp.plus_succeeds @t73 @t72 @t90)) @t92))) % 27.91/28.79 (assume @p45 @t96) % 27.91/28.79 (assume @p46 @t100) % 27.91/28.79 (assume @p47 (forall @t89 (=> @t81 (tptp.nat_succeeds @t75)))) % 27.91/28.79 (assume @p48 (forall @t77 (=> @t101 (= (|tptp.'@+'| @t75 @t71) (|tptp.'@+'| @t73 (|tptp.'@+'| @t72 @t71)))))) % 27.91/28.79 (assume @p49 (forall @t82 (=> @t76 (= (|tptp.'@+'| @t73 |tptp.'0'|) @t73)))) % 27.91/28.79 (assume @p50 (forall @t89 (=> @t81 (= (|tptp.'@+'| @t73 @t102) @t98)))) % 27.91/28.79 (assume @p51 (forall @t89 (=> @t81 (= @t75 (|tptp.'@+'| @t72 @t73))))) % 27.91/28.79 (assume @p52 (forall @t77 (=> (and @t76 (= @t75 @t103)) (= @t72 @t71)))) % 27.91/28.79 (assume @p53 (forall @t77 (=> @t78 @t76))) % 27.91/28.79 (assume @p54 (forall @t77 (=> (and @t78 @t80) @t85))) % 27.91/28.79 (assume @p55 (forall @t77 (=> @t78 @t83))) % 27.91/28.79 (assume @p56 (forall @t77 (=> (and @t78 @t87) @t86))) % 27.91/28.79 (assume @p57 (forall @t77 (=> @t81 (tptp.times_terminates @t73 @t72 @t71)))) % 27.91/28.79 (assume @p58 (forall @t89 (=> @t81 (exists @t88 @t78)))) % 27.91/28.79 (assume @p59 (forall @t93 (=> (and (tptp.times_succeeds @t73 @t72 @t91) (tptp.times_succeeds @t73 @t72 @t90)) @t92))) % 27.91/28.79 (assume @p60 (forall @t95 (=> @t80 (= (|tptp.'@*'| |tptp.'0'| @t72) |tptp.'0'|)))) % 27.91/28.79 (assume @p61 (forall @t89 (=> @t81 (= (|tptp.'@*'| @t97 @t72) (|tptp.'@+'| @t72 @t79))))) % 27.91/28.79 (assume @p62 (forall @t89 (=> @t81 (tptp.nat_succeeds @t79)))) % 27.91/28.79 (assume @p63 (forall @t77 (=> @t101 (= (|tptp.'@*'| @t75 @t71) (|tptp.'@+'| (|tptp.'@*'| @t73 @t71) @t104))))) % 27.91/28.79 (assume @p64 (forall @t77 (=> @t101 (= (|tptp.'@*'| @t79 @t71) (|tptp.'@*'| @t73 @t104))))) % 27.91/28.79 (assume @p65 (forall @t82 (=> @t76 (= (|tptp.'@*'| @t73 |tptp.'0'|) |tptp.'0'|)))) % 27.91/28.79 (assume @p66 (forall (@list @t72 @t73) (=> (and @t80 @t76) (= (|tptp.'@+'| @t105 @t72) (|tptp.'@*'| @t72 @t97))))) % 27.91/28.79 (assume @p67 (forall @t89 (=> @t81 (= @t79 @t105)))) % 27.91/28.79 (assume @p68 (forall @t82 (=> @t76 (= (|tptp.'@*'| @t106 @t73) @t73)))) % 27.91/28.79 (assume @p69 (forall @t82 (=> @t76 (= (|tptp.'@*'| @t73 @t106) @t73)))) % 27.91/28.79 (assume @p70 (forall @t77 (=> @t101 (= (|tptp.'@*'| @t71 @t75) (|tptp.'@+'| (|tptp.'@*'| @t71 @t73) (|tptp.'@*'| @t71 @t72)))))) % 27.91/28.79 (assume @p71 (forall @t89 (=> @t76 @t107))) % 27.91/28.79 (assume @p72 (forall @t89 (=> @t80 @t107))) % 27.91/28.79 (assume @p73 (forall @t89 (=> @t108 @t76))) % 27.91/28.79 (assume @p74 (forall @t89 (=> @t108 (exists @t88 (= @t72 @t109))))) % 27.91/28.79 (assume @p75 (forall @t77 (=> (and @t108 (|tptp.'@<_succeeds'| @t72 @t109)) @t110))) % 27.91/28.79 (assume @p76 (forall @t89 (=> @t108 @t111))) % 27.91/28.79 (assume @p77 (forall @t77 (=> (and @t108 @t112) @t110))) % 27.91/28.79 (assume @p78 (forall @t82 (=> @t76 (|tptp.'@<_fails'| @t73 @t73)))) % 27.91/28.79 (assume @p79 (forall @t82 (=> @t76 (not (|tptp.'@<_succeeds'| @t73 @t73))))) % 27.91/28.79 (assume @p80 (forall @t82 (=> @t76 (|tptp.'@<_succeeds'| @t73 @t97)))) % 27.91/28.79 (assume @p81 (forall @t89 (=> (and @t80 @t111) @t114))) % 27.91/28.79 (assume @p82 (forall @t89 (=> @t81 (or @t108 @t113 (|tptp.'@<_succeeds'| @t72 @t73))))) % 27.91/28.79 (assume @p83 (forall @t82 (=> (and @t76 (not @t115)) (|tptp.'@<_succeeds'| |tptp.'0'| @t73)))) % 27.91/28.79 (assume @p84 (forall @t89 (=> @t76 @t116))) % 27.91/28.79 (assume @p85 (forall @t89 (=> @t80 @t116))) % 27.91/28.79 (assume @p86 (forall @t89 (=> @t117 @t76))) % 27.91/28.79 (assume @p87 (forall @t89 (=> @t117 (exists @t88 (tptp.plus_succeeds @t73 @t71 @t72))))) % 27.91/28.79 (assume @p88 (forall @t89 (=> @t117 (exists @t88 (= @t103 @t72))))) % 27.91/28.79 (assume @p89 (forall @t89 (=> @t108 (exists @t88 (tptp.plus_succeeds @t73 @t109 @t72))))) % 27.91/28.79 (assume @p90 (forall @t89 (=> @t108 (exists @t88 (= (|tptp.'@+'| @t73 @t109) @t72))))) % 27.91/28.79 (assume @p91 (forall @t89 (=> @t108 @t117))) % 27.91/28.79 (assume @p92 (forall @t82 (=> @t76 (|tptp.'@=<_succeeds'| @t73 @t73)))) % 27.91/28.79 (assume @p93 (forall @t89 (=> @t81 (or @t117 @t118)))) % 27.91/28.79 (assume @p94 (forall @t89 (=> @t81 (or @t108 @t118)))) % 27.91/28.79 (assume @p95 (forall @t89 (=> (and @t76 @t80 (|tptp.'@=<_fails'| @t73 @t72)) @t118))) % 27.91/28.79 (assume @p96 (forall @t89 (=> (and @t117 @t80) @t114))) % 27.91/28.79 (assume @p97 (forall @t77 (=> (and @t117 @t112) @t110))) % 27.91/28.79 (assume @p98 (forall @t77 (=> (and @t108 @t119) @t110))) % 27.91/28.79 (assume @p99 (forall @t77 (=> (and @t117 @t119) (|tptp.'@=<_succeeds'| @t73 @t71)))) % 27.91/28.79 (assume @p100 (forall @t89 (=> (and @t117 @t118) @t113))) % 27.91/28.79 (assume @p101 (forall @t82 (=> @t76 (|tptp.'@=<_succeeds'| @t73 @t97)))) % 27.91/28.79 (assume @p102 (forall @t82 (=> @t76 (|tptp.'@=<_fails'| @t97 @t73)))) % 27.91/28.79 (assume @p103 @t132) % 27.91/28.79 (assume @p104 @t135) % 27.91/28.79 (assume @p105 true) % 27.91/28.79 (step @p106 :rule aci_norm :args ((= (or (or @t137 @t136) @t120) @t138))) % 27.91/28.79 (step @p107 :rule refl :args (@t120)) % 27.91/28.79 (step @p108 :rule bool-and-de-morgan :args (@t76 @t112 true)) % 27.91/28.79 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t133) @t120))) % 27.91/28.79 (step @p110 :rule trans :premises (@p109 @p106)) % 27.91/28.79 (step @p111 :rule bool-impl-elim :args (@t133 @t120)) % 27.91/28.79 (step @p112 :rule trans :premises (@p111 @p110)) % 27.91/28.79 (step @p113 :rule cong :premises (@p112) :args (@t134)) % 27.91/28.79 (step @p114 :rule cong :premises (@p113) :args (@t135)) % 27.91/28.79 (step @p115 :rule eq_resolve :premises (@p104 @p114)) % 27.91/28.79 (step @p116 :rule alpha_equiv :args ((forall (@list @t140 @t141 @t139) (or (not (tptp.nat_succeeds @t140)) (not (|tptp.'@<_succeeds'| @t141 @t139)) (|tptp.'@<_succeeds'| (|tptp.'@+'| @t140 @t141) (|tptp.'@+'| @t140 @t139)))) @t142 (@list @t72 @t71 @t73))) % 27.91/28.79 (step @p117 :rule alpha_equiv :args (@t149 (@list @t144 @t143 @t73) @t142)) % 27.91/28.79 (step @p118 :rule trans :premises (@p117 @p116)) % 27.91/28.79 (step @p119 :rule equiv_elim1 :premises (@p118)) % 27.91/28.79 (step @p120 :rule reordering :premises (@p119) :args ((or @t151 @t150))) % 27.91/28.79 (step @p121 :rule chain_m_resolution :premises (@p120 @p115) :args (@t150 @t152 (@list @t151))) % 27.91/28.79 (step @p122 :rule aci_norm :args ((= @t154 @t147))) % 27.91/28.79 (step @p123 :rule cong :premises (@p122) :args (@t155)) % 27.91/28.79 (step @p124 :rule quant-merge-prenex :args ((= (forall @t82 @t157) @t155))) % 27.91/28.79 (step @p125 :rule alpha_equiv :args (@t158 (@list @t144 @t143) @t159)) % 27.91/28.79 (step @p126 :rule refl :args (@t137)) % 27.91/28.79 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t160)) % 27.91/28.79 (step @p128 :rule quant-miniscope-or :args ((= @t157 @t160))) % 27.91/28.79 (step @p129 :rule trans :premises (@p128 @p127)) % 27.91/28.79 (step @p130 :rule symm :premises (@p129)) % 27.91/28.79 (step @p131 :rule cong :premises (@p130) :args ((forall @t82 (or @t137 @t161)))) % 27.91/28.79 (step @p132 :rule trans :premises (@p131 @p124)) % 27.91/28.79 (step @p133 :rule trans :premises (@p132 @p123)) % 27.91/28.79 (step @p134 :rule bool-impl-elim :args (@t76 @t161)) % 27.91/28.79 (step @p135 :rule cong :premises (@p134) :args ((forall @t82 (=> @t76 @t161)))) % 27.91/28.79 (step @p136 :rule trans :premises (@p135 @p133)) % 27.91/28.79 (step @p137 :rule bool-impl-elim :args (@t112 @t120)) % 27.91/28.79 (step @p138 :rule cong :premises (@p137) :args (@t122)) % 27.91/28.79 (step @p139 :rule refl :args (@t76)) % 27.91/28.79 (step @p140 :rule cong :premises (@p139 @p138) :args (@t123)) % 27.91/28.79 (step @p141 :rule cong :premises (@p140) :args (@t124)) % 27.91/28.79 (step @p142 :rule trans :premises (@p141 @p136)) % 27.91/28.79 (step @p143 :rule refl :args (@t164)) % 27.91/28.79 (step @p144 :rule refl :args (@t165)) % 27.91/28.79 (step @p145 :rule refl :args (@t167)) % 27.91/28.79 (step @p146 :rule refl :args (@t169)) % 27.91/28.79 (step @p147 :rule refl :args (@t170)) % 27.91/28.79 (step @p148 :rule eq-symm :args (@t171 @t73)) % 27.91/28.79 (step @p149 :rule cong :premises (@p148) :args (@t172)) % 27.91/28.79 (step @p150 :rule nary_cong :premises (@p149 @p147 @p146) :args (@t173)) % 27.91/28.79 (step @p151 :rule nary_cong :premises (@p150 @p145) :args (@t174)) % 27.91/28.79 (step @p152 :rule nary_cong :premises (@p151 @p144 @p143) :args (@t175)) % 27.91/28.79 (step @p153 :rule aci_norm :args ((= @t177 @t175))) % 27.91/28.79 (step @p154 :rule trans :premises (@p153 @p152)) % 27.91/28.79 (step @p155 :rule cong :premises (@p154) :args (@t179)) % 27.91/28.79 (step @p156 :rule quant-merge-prenex :args ((= (forall @t82 @t180) @t179))) % 27.91/28.79 (step @p157 :rule alpha_equiv :args (@t181 (@list @t163 @t162) @t159)) % 27.91/28.79 (step @p158 :rule quant-unused-vars :args ((= @t183 @t167))) % 27.91/28.79 (step @p159 :rule alpha_equiv :args (@t184 (@list @t168) (@list @t38))) % 27.91/28.79 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t185)) % 27.91/28.79 (step @p161 :rule quant-miniscope-and :args ((= @t186 @t185))) % 27.91/28.79 (step @p162 :rule trans :premises (@p161 @p160)) % 27.91/28.79 (step @p163 :rule nary_cong :premises (@p162 @p157) :args (@t187)) % 27.91/28.79 (step @p164 :rule quant-miniscope-or :args ((= @t180 @t187))) % 27.91/28.79 (step @p165 :rule trans :premises (@p164 @p163)) % 27.91/28.79 (step @p166 :rule symm :premises (@p165)) % 27.91/28.79 (step @p167 :rule cong :premises (@p166) :args ((forall @t82 (or (and @t194 @t167) @t161)))) % 27.91/28.79 (step @p168 :rule trans :premises (@p167 @p156)) % 27.91/28.79 (step @p169 :rule trans :premises (@p168 @p155)) % 27.91/28.79 (step @p170 :rule refl :args (@t161)) % 27.91/28.79 (step @p171 :rule refl :args (@t167)) % 27.91/28.79 (step @p172 :rule bool-double-not-elim :args (@t194)) % 27.91/28.79 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((and (not @t195) @t167))) % 27.91/28.79 (step @p174 :rule bool-or-de-morgan :args (@t195 @t166 false)) % 27.91/28.79 (step @p175 :rule trans :premises (@p174 @p173)) % 27.91/28.79 (step @p176 :rule nary_cong :premises (@p175 @p170) :args ((or (not @t196) @t161))) % 27.91/28.79 (step @p177 :rule bool-impl-elim :args (@t196 @t161)) % 27.91/28.79 (step @p178 :rule trans :premises (@p177 @p176)) % 27.91/28.79 (step @p179 :rule cong :premises (@p178) :args ((forall @t82 (=> @t196 @t161)))) % 27.91/28.79 (step @p180 :rule trans :premises (@p179 @p169)) % 27.91/28.79 (step @p181 :rule eq-symm :args (@t73 |tptp.'0'|)) % 27.91/28.79 (step @p182 :rule aci_norm :args ((= (or @t192 (or @t190 @t189)) @t193))) % 27.91/28.79 (step @p183 :rule bool-and-de-morgan :args (@t65 @t188 true)) % 27.91/28.79 (step @p184 :rule refl :args (@t192)) % 27.91/28.79 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t192 (not (and @t65 @t188))))) % 27.91/28.79 (step @p186 :rule bool-and-de-morgan :args (@t191 @t65 (and @t188))) % 27.91/28.79 (step @p187 :rule trans :premises (@p186 @p185)) % 27.91/28.79 (step @p188 :rule trans :premises (@p187 @p182)) % 27.91/28.79 (step @p189 :rule cong :premises (@p188) :args (@t198)) % 27.91/28.79 (step @p190 :rule cong :premises (@p189) :args (@t199)) % 27.91/28.79 (step @p191 :rule exists-elim :args ((= (exists @t68 @t197) @t199))) % 27.91/28.79 (step @p192 :rule trans :premises (@p191 @p190)) % 27.91/28.79 (step @p193 :rule bool-impl-elim :args (@t112 @t125)) % 27.91/28.79 (step @p194 :rule cong :premises (@p193) :args (@t126)) % 27.91/28.79 (step @p195 :rule refl :args (@t65)) % 27.91/28.79 (step @p196 :rule eq-symm :args (@t73 @t66)) % 27.91/28.79 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194) :args (@t127)) % 27.91/28.79 (step @p198 :rule cong :premises (@p197) :args (@t128)) % 27.91/28.79 (step @p199 :rule trans :premises (@p198 @p192)) % 27.91/28.79 (step @p200 :rule nary_cong :premises (@p199 @p181) :args (@t129)) % 27.91/28.79 (step @p201 :rule cong :premises (@p200 @p138) :args (@t130)) % 27.91/28.79 (step @p202 :rule cong :premises (@p201) :args (@t131)) % 27.91/28.79 (step @p203 :rule trans :premises (@p202 @p180)) % 27.91/28.79 (step @p204 :rule cong :premises (@p203 @p142) :args (@t132)) % 27.91/28.79 (step @p205 :rule eq_resolve :premises (@p103 @p204)) % 27.91/28.79 (step @p206 :rule implies_elim :premises (@p205)) % 27.91/28.79 (step @p207 :rule reordering :premises (@p206) :args ((or @t149 @t201))) % 27.91/28.79 (step @p208 :rule chain_m_resolution :premises (@p207 @p121) :args (@t201 @t152 (@list @t149))) % 27.91/28.79 (step @p209 :rule skolemize :premises (@p208)) % 27.91/28.79 (step @p210 :rule bool-double-not-elim :args (@t204)) % 27.91/28.79 (step @p211 :rule refl :args (@t222)) % 27.91/28.79 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t222 (not @t209)))) % 27.91/28.79 (step @p213 :rule cnf_or_neg :args (@t222 1)) % 27.91/28.79 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 27.91/28.79 (step @p215 :rule reordering :premises (@p214) :args ((or @t204 @t222))) % 27.91/28.79 (step @p216 :rule chain_m_resolution :premises (@p215 @p209) :args (@t204 @t152 @t223)) % 27.91/28.79 (step @p217 :rule cnf_or_neg :args (@t222 2)) % 27.91/28.79 (step @p218 :rule chain_m_resolution :premises (@p217 @p209) :args (@t224 @t152 @t223)) % 27.91/28.79 (step @p219 :rule eq-symm :args (@t94 @t72)) % 27.91/28.79 (step @p220 :rule cong :premises (@p219) :args (@t96)) % 27.91/28.79 (step @p221 :rule eq_resolve :premises (@p45 @p220)) % 27.91/28.79 (step @p222 :rule instantiate :premises (@p221) :args ((@list @t203))) % 27.91/28.79 (step @p223 :rule instantiate :premises (@p1) :args ((@list @t212))) % 27.91/28.79 (step @p224 :rule refl :args (@t211)) % 27.91/28.79 (step @p225 :rule bool-double-not-elim :args (@t225)) % 27.91/28.79 (step @p226 :rule refl :args (@t219)) % 27.91/28.79 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224) :args ((or @t219 (not @t226) @t211))) % 27.91/28.79 (assume-push @p448 @t218) % 27.91/28.79 (assume-push @p449 @t226) % 27.91/28.79 (assume-push @p450 @t226) % 27.91/28.79 (assume-push @p451 @t218) % 27.91/28.79 (step @p232 :rule false_intro :premises (@p223)) % 27.91/28.79 (step @p233 :rule refl :args (|tptp.'0'|)) % 27.91/28.79 (step @p234 :rule cong :premises (@p233 @p448) :args (@t210)) % 27.91/28.79 (step @p235 :rule trans :premises (@p234 @p232)) % 27.91/28.79 (step @p236 :rule false_elim :premises (@p235)) % 27.91/28.79 (step-pop @p452 :rule scope :premises (@p236)) % 27.91/28.79 (step-pop @p453 :rule scope :premises (@p452)) % 27.91/28.79 (step @p237 :rule process_scope :premises (@p453) :args (@t211)) % 27.91/28.79 (step @p240 :rule and_intro :premises (@p223 @p448)) % 27.91/28.79 (step @p241 :rule modus_ponens :premises (@p240 @p237)) % 27.91/28.79 (step-pop @p454 :rule scope :premises (@p241)) % 27.91/28.79 (step-pop @p455 :rule scope :premises (@p454)) % 27.91/28.79 (step @p242 :rule process_scope :premises (@p455) :args (@t211)) % 27.91/28.79 (step @p245 :rule implies_elim :premises (@p242)) % 27.91/28.79 (step @p246 :rule cnf_and_neg :args (@t227)) % 27.91/28.79 (step @p247 :rule resolution :premises (@p246 @p245) :args (true @t227)) % 27.91/28.79 (step @p248 :rule eq_resolve :premises (@p247 @p227)) % 27.91/28.79 (step @p249 :rule reordering :premises (@p248) :args ((or @t219 @t211 @t225))) % 27.91/28.79 (step @p250 :rule cnf_or_neg :args (@t222 0)) % 27.91/28.79 (step @p251 :rule chain_m_resolution :premises (@p250 @p209) :args ((not @t221) @t152 @t223)) % 27.91/28.79 (step @p252 :rule bool-double-not-elim :args (@t210)) % 27.91/28.79 (step @p253 :rule refl :args (@t228)) % 27.91/28.79 (step @p254 :rule refl :args (@t221)) % 27.91/28.79 (step @p255 :rule nary_cong :premises (@p254 @p253 @p252) :args ((or @t221 @t228 (not @t211)))) % 27.91/28.79 (step @p256 :rule cnf_and_neg :args (@t221)) % 27.91/28.79 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 27.91/28.79 (step @p258 :rule reordering :premises (@p257) :args ((or @t210 @t221 @t228))) % 27.91/28.79 (step @p259 :rule bool-double-not-elim :args (@t215)) % 27.91/28.79 (step @p260 :rule refl :args (@t220)) % 27.91/28.79 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t220 (not @t216)))) % 27.91/28.79 (step @p262 :rule cnf_or_neg :args (@t220 1)) % 27.91/28.79 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 27.91/28.79 (step @p264 :rule reordering :premises (@p263) :args ((or @t215 @t220))) % 27.91/28.79 (step @p265 :rule bool-double-not-elim :args (@t213)) % 27.91/28.79 (step @p266 :rule nary_cong :premises (@p260 @p265) :args ((or @t220 (not @t214)))) % 27.91/28.79 (step @p267 :rule cnf_or_neg :args (@t220 2)) % 27.91/28.79 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 27.91/28.79 (step @p269 :rule reordering :premises (@p268) :args ((or @t213 @t220))) % 27.91/28.79 (step @p270 :rule bool-impl-elim :args (@t76 @t99)) % 27.91/28.79 (step @p271 :rule cong :premises (@p270) :args (@t100)) % 27.91/28.79 (step @p272 :rule eq_resolve :premises (@p46 @p271)) % 27.91/28.79 (step @p273 :rule instantiate :premises (@p272) :args ((@list @t212 @t203))) % 27.91/28.79 (step @p274 :rule cnf_or_pos :args (@t232)) % 27.91/28.79 (step @p275 :rule reordering :premises (@p274) :args ((or @t216 @t231 (not @t232)))) % 27.91/28.79 (step @p276 :rule instantiate :premises (@p272) :args ((@list @t212 @t202))) % 27.91/28.79 (step @p277 :rule cnf_or_pos :args (@t236)) % 27.91/28.79 (step @p278 :rule reordering :premises (@p277) :args ((or @t216 @t235 (not @t236)))) % 27.91/28.79 (assume-push @p456 @t213) % 27.91/28.79 (step @p280 :rule instantiate :premises (@p456) :args ((@list @t203 @t202))) % 27.91/28.79 (step-pop @p457 :rule scope :premises (@p280)) % 27.91/28.79 (step @p281 :rule process_scope :premises (@p457) :args (@t238)) % 27.91/28.79 (step @p283 :rule implies_elim :premises (@p281)) % 27.91/28.79 (step @p284 :rule cnf_or_pos :args (@t238)) % 27.91/28.79 (step @p285 :rule reordering :premises (@p284) :args ((or @t209 @t237 (not @t238)))) % 27.91/28.79 (assume-push @p458 @t218) % 27.91/28.79 (assume-push @p459 @t231) % 27.91/28.79 (assume-push @p460 @t231) % 27.91/28.79 (assume-push @p461 @t218) % 27.91/28.79 (step @p290 :rule refl :args (@t203)) % 27.91/28.79 (step @p291 :rule cong :premises (@p458 @p290) :args (@t207)) % 27.91/28.79 (step @p292 :rule trans :premises (@p291 @p459)) % 27.91/28.79 (step-pop @p462 :rule scope :premises (@p292)) % 27.91/28.79 (step-pop @p463 :rule scope :premises (@p462)) % 27.91/28.79 (step @p293 :rule process_scope :premises (@p463) :args (@t239)) % 27.91/28.79 (step @p296 :rule and_intro :premises (@p459 @p458)) % 27.91/28.79 (step @p297 :rule modus_ponens :premises (@p296 @p293)) % 27.91/28.79 (step-pop @p464 :rule scope :premises (@p297)) % 27.91/28.79 (step-pop @p465 :rule scope :premises (@p464)) % 27.91/28.79 (step @p298 :rule process_scope :premises (@p465) :args (@t239)) % 27.91/28.79 (step @p301 :rule implies_elim :premises (@p298)) % 27.91/28.79 (step @p302 :rule cnf_and_neg :args (@t240)) % 27.91/28.79 (step @p303 :rule resolution :premises (@p302 @p301) :args (true @t240)) % 27.91/28.79 (assume-push @p466 @t218) % 27.91/28.79 (assume-push @p467 @t235) % 27.91/28.79 (assume-push @p468 @t235) % 27.91/28.79 (assume-push @p469 @t218) % 27.91/28.79 (step @p308 :rule refl :args (@t202)) % 27.91/28.79 (step @p309 :rule cong :premises (@p466 @p308) :args (@t206)) % 27.91/28.79 (step @p310 :rule trans :premises (@p309 @p467)) % 27.91/28.79 (step-pop @p470 :rule scope :premises (@p310)) % 27.91/28.79 (step-pop @p471 :rule scope :premises (@p470)) % 27.91/28.79 (step @p311 :rule process_scope :premises (@p471) :args (@t241)) % 27.91/28.79 (step @p314 :rule and_intro :premises (@p467 @p466)) % 27.91/28.79 (step @p315 :rule modus_ponens :premises (@p314 @p311)) % 27.91/28.79 (step-pop @p472 :rule scope :premises (@p315)) % 27.91/28.79 (step-pop @p473 :rule scope :premises (@p472)) % 27.91/28.79 (step @p316 :rule process_scope :premises (@p473) :args (@t241)) % 27.91/28.79 (step @p319 :rule implies_elim :premises (@p316)) % 27.91/28.79 (step @p320 :rule cnf_and_neg :args (@t242)) % 27.91/28.79 (step @p321 :rule resolution :premises (@p320 @p319) :args (true @t242)) % 27.91/28.79 (step @p322 :rule refl :args (@t246)) % 27.91/28.79 (step @p323 :rule bool-double-not-elim :args (@t247)) % 27.91/28.79 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((and (not @t248) @t246))) % 27.91/28.79 (step @p325 :rule bool-or-de-morgan :args (@t248 @t245 false)) % 27.91/28.79 (step @p326 :rule trans :premises (@p325 @p324)) % 27.91/28.79 (step @p327 :rule refl :args (@t255)) % 27.91/28.79 (step @p328 :rule nary_cong :premises (@p327 @p326) :args (@t257)) % 27.91/28.79 (step @p329 :rule refl :args (@t62)) % 27.91/28.79 (step @p330 :rule cong :premises (@p329 @p328) :args (@t258)) % 27.91/28.79 (step @p331 :rule cong :premises (@p330) :args ((forall @t51 @t258))) % 27.91/28.79 (step @p332 :rule quant-miniscope-or :args ((= (forall @t56 (or @t248 @t244)) @t256))) % 27.91/28.79 (step @p333 :rule bool-and-de-morgan :args (@t247 @t243 true)) % 27.91/28.79 (step @p334 :rule cong :premises (@p333) :args (@t260)) % 27.91/28.79 (step @p335 :rule trans :premises (@p334 @p332)) % 27.91/28.79 (step @p336 :rule cong :premises (@p335) :args (@t261)) % 27.91/28.79 (step @p337 :rule exists-elim :args ((= (exists @t56 @t259) @t261))) % 27.91/28.79 (step @p338 :rule trans :premises (@p337 @p336)) % 27.91/28.79 (step @p339 :rule eq-symm :args (@t38 @t5)) % 27.91/28.79 (step @p340 :rule eq-symm :args (@t36 |tptp.'0'|)) % 27.91/28.79 (step @p341 :rule nary_cong :premises (@p340 @p339) :args (@t55)) % 27.91/28.79 (step @p342 :rule cong :premises (@p341) :args (@t57)) % 27.91/28.79 (step @p343 :rule trans :premises (@p342 @p338)) % 27.91/28.79 (step @p344 :rule aci_norm :args ((= (or @t253 (or @t251 @t249)) @t254))) % 27.91/28.79 (step @p345 :rule bool-and-de-morgan :args (@t250 @t58 true)) % 27.91/28.79 (step @p346 :rule refl :args (@t253)) % 27.91/28.79 (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or @t253 (not (and @t250 @t58))))) % 27.91/28.79 (step @p348 :rule bool-and-de-morgan :args (@t252 @t250 (and @t58))) % 27.91/28.79 (step @p349 :rule trans :premises (@p348 @p347)) % 27.91/28.79 (step @p350 :rule trans :premises (@p349 @p344)) % 27.91/28.79 (step @p351 :rule cong :premises (@p350) :args (@t263)) % 27.91/28.79 (step @p352 :rule cong :premises (@p351) :args (@t264)) % 27.91/28.79 (step @p353 :rule exists-elim :args ((= (exists @t50 @t262) @t264))) % 27.91/28.79 (step @p354 :rule trans :premises (@p353 @p352)) % 27.91/28.79 (step @p355 :rule refl :args (@t58)) % 27.91/28.79 (step @p356 :rule eq-symm :args (@t38 @t6)) % 27.91/28.79 (step @p357 :rule eq-symm :args (@t36 @t2)) % 27.91/28.79 (step @p358 :rule nary_cong :premises (@p357 @p356 @p355) :args (@t59)) % 27.91/28.79 (step @p359 :rule cong :premises (@p358) :args (@t60)) % 27.91/28.79 (step @p360 :rule trans :premises (@p359 @p354)) % 27.91/28.79 (step @p361 :rule nary_cong :premises (@p360 @p343) :args (@t61)) % 27.91/28.79 (step @p362 :rule refl :args (@t62)) % 27.91/28.79 (step @p363 :rule cong :premises (@p362 @p361) :args (@t63)) % 27.91/28.79 (step @p364 :rule cong :premises (@p363) :args (@t64)) % 27.91/28.79 (step @p365 :rule trans :premises (@p364 @p331)) % 27.91/28.79 (step @p366 :rule eq_resolve :premises (@p24 @p365)) % 27.91/28.79 (step @p367 :rule instantiate :premises (@p366) :args ((@list @t207 @t206))) % 27.91/28.79 (step @p368 :rule cnf_equiv_pos2 :args (@t268)) % 27.91/28.79 (step @p369 :rule reordering :premises (@p368) :args ((or @t208 @t269 (not @t268)))) % 27.91/28.79 (step @p370 :rule chain_m_resolution :premises (@p369 @p218 @p367) :args (@t269 @t270 (@list @t208 @t268))) % 27.91/28.79 (step @p371 :rule bool-double-not-elim :args (@t265)) % 27.91/28.79 (step @p372 :rule refl :args (@t267)) % 27.91/28.79 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or @t267 (not @t266)))) % 27.91/28.79 (step @p374 :rule cnf_or_neg :args (@t267 0)) % 27.91/28.79 (step @p375 :rule eq_resolve :premises (@p374 @p373)) % 27.91/28.79 (step @p376 :rule reordering :premises (@p375) :args ((or @t265 @t267))) % 27.91/28.79 (step @p377 :rule chain_m_resolution :premises (@p376 @p370) :args (@t265 @t152 (@list @t267))) % 27.91/28.79 (step @p378 :rule refl :args (@t271)) % 27.91/28.79 (step @p379 :rule eq-symm :args (@t234 @t206)) % 27.91/28.79 (step @p380 :rule cong :premises (@p379) :args (@t272)) % 27.91/28.79 (step @p381 :rule eq-symm :args (@t230 @t207)) % 27.91/28.79 (step @p382 :rule cong :premises (@p381) :args (@t273)) % 27.91/28.79 (step @p383 :rule nary_cong :premises (@p382 @p380 @p378) :args (@t274)) % 27.91/28.79 (step @p384 :rule refl :args (@t265)) % 27.91/28.79 (step @p385 :rule cong :premises (@p384 @p383) :args ((=> @t265 @t274))) % 27.91/28.79 (assume-push @p474 @t265) % 27.91/28.79 (step @p387 :rule instantiate :premises (@p377) :args ((@list @t229 @t233))) % 27.91/28.79 (step-pop @p475 :rule scope :premises (@p387)) % 27.91/28.79 (step @p388 :rule process_scope :premises (@p475) :args (@t274)) % 27.91/28.79 (step @p390 :rule eq_resolve :premises (@p388 @p385)) % 27.91/28.79 (step @p391 :rule implies_elim :premises (@p390)) % 27.91/28.79 (step @p392 :rule chain_m_resolution :premises (@p391 @p377) :args (@t277 (@list false) (@list @t265))) % 27.91/28.79 (step @p393 :rule cnf_or_pos :args (@t277)) % 27.91/28.79 (step @p394 :rule reordering :premises (@p393) :args ((or @t271 @t276 @t275 (not @t277)))) % 27.91/28.79 (step @p395 :rule chain_m_resolution :premises (@p394 @p392 @p321 @p303 @p285 @p216 @p283 @p278 @p276 @p275 @p273 @p269 @p264 @p258 @p251 @p249 @p223) :args (@t219 (@list false false false false false false false false false false false false true true true true) (@list @t277 @t241 @t239 @t237 @t204 @t238 @t235 @t236 @t231 @t232 @t213 @t215 @t220 @t221 @t210 @t225))) % 27.91/28.79 (step @p396 :rule bool-double-not-elim :args (@t218)) % 27.91/28.79 (step @p397 :rule nary_cong :premises (@p260 @p396) :args ((or @t220 (not @t219)))) % 27.91/28.79 (step @p398 :rule cnf_or_neg :args (@t220 0)) % 27.91/28.79 (step @p399 :rule eq_resolve :premises (@p398 @p397)) % 27.91/28.79 (step @p400 :rule reordering :premises (@p399) :args ((or @t218 @t220))) % 27.91/28.79 (step @p401 :rule chain_m_resolution :premises (@p400 @p395) :args (@t220 @t152 (@list @t218))) % 27.91/28.79 (step @p402 :rule chain_m_resolution :premises (@p258 @p251 @p401) :args (@t210 @t270 (@list @t221 @t220))) % 27.91/28.79 (step @p403 :rule instantiate :premises (@p221) :args ((@list @t202))) % 27.91/28.79 (step @p404 :rule refl :args (@t280)) % 27.91/28.79 (step @p405 :rule refl :args (@t283)) % 27.91/28.79 (step @p406 :rule bool-double-not-elim :args (@t208)) % 27.91/28.79 (step @p407 :rule refl :args (@t209)) % 27.91/28.79 (step @p408 :rule nary_cong :premises (@p224 @p407 @p406 @p405 @p404) :args ((or @t211 @t209 (not @t224) @t283 @t280))) % 27.91/28.79 (assume-push @p476 @t224) % 27.91/28.79 (assume-push @p477 @t210) % 27.91/28.79 (assume-push @p478 @t282) % 27.91/28.79 (assume-push @p479 @t279) % 27.91/28.79 (assume-push @p480 @t204) % 27.91/28.79 (step @p414 :rule evaluate :args ((= true false))) % 27.91/28.79 (step @p415 :rule false_intro :premises (@p218)) % 27.91/28.79 (step @p308 :rule refl :args (@t202)) % 27.91/28.79 (step @p416 :rule cong :premises (@p477 @p308) :args (@t278)) % 27.91/28.79 (step @p417 :rule trans :premises (@p403 @p416)) % 27.91/28.79 (step @p290 :rule refl :args (@t203)) % 27.91/28.79 (step @p418 :rule cong :premises (@p477 @p290) :args (@t281)) % 27.91/28.79 (step @p419 :rule trans :premises (@p222 @p418)) % 27.91/28.79 (step @p420 :rule cong :premises (@p419 @p417) :args (@t204)) % 27.91/28.79 (step @p421 :rule true_intro :premises (@p216)) % 27.91/28.79 (step @p422 :rule symm :premises (@p421)) % 27.91/28.79 (step @p423 :rule trans :premises (@p422 @p420 @p415)) % 27.91/28.79 (step @p424 false :rule eq_resolve :premises (@p423 @p414)) % 27.91/28.79 (step-pop @p481 :rule scope :premises (@p424)) % 27.91/28.79 (step-pop @p482 :rule scope :premises (@p481)) % 27.91/28.79 (step-pop @p483 :rule scope :premises (@p482)) % 27.91/28.79 (step-pop @p484 :rule scope :premises (@p483)) % 27.91/28.79 (step-pop @p485 :rule scope :premises (@p484)) % 27.91/28.79 (step @p425 :rule process_scope :premises (@p485) :args (false)) % 27.91/28.79 (assume-push @p486 @t210) % 27.91/28.79 (assume-push @p487 @t204) % 27.91/28.79 (assume-push @p488 @t224) % 27.91/28.79 (assume-push @p489 @t282) % 27.91/28.79 (assume-push @p490 @t279) % 27.91/28.79 (step @p436 :rule and_intro :premises (@p218 @p486 @p222 @p403 @p216)) % 27.91/28.79 (step-pop @p491 :rule scope :premises (@p436)) % 27.91/28.79 (step-pop @p492 :rule scope :premises (@p491)) % 27.91/28.79 (step-pop @p493 :rule scope :premises (@p492)) % 27.91/28.79 (step-pop @p494 :rule scope :premises (@p493)) % 27.91/28.79 (step-pop @p495 :rule scope :premises (@p494)) % 27.91/28.79 (step @p437 :rule process_scope :premises (@p495) :args (@t284)) % 27.91/28.79 (step @p443 :rule implies_elim :premises (@p437)) % 27.91/28.79 (step @p444 :rule resolution :premises (@p443 @p425) :args (true @t284)) % 27.91/28.79 (step @p445 :rule not_and :premises (@p444)) % 27.91/28.79 (step @p446 :rule eq_resolve :premises (@p445 @p408)) % 27.91/28.79 (step @p447 false :rule chain_m_resolution :premises (@p446 @p403 @p402 @p222 @p218 @p216) :args (false (@list false false false true false) (@list @t279 @t210 @t282 @t208 @t204))) % 27.91/28.80 ) % 27.91/28.80 % SZS output end Proof % 27.91/28.80 % cvc5 exiting %------------------------------------------------------------------------------