%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX045+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 : n001.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 33.90s 34.23s % Output : Proof 33.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX045+1 : TPTP v9.2.1. Released v9.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:54:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.90/34.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.90/34.23 --- Run --no-e-matching --full-saturate-quant at 6... % 33.90/34.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.90/34.23 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.90/34.23 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.90/34.23 % SZS status Theorem % 33.90/34.23 % SZS output start Proof % 33.90/34.23 ( % 33.90/34.23 (declare-sort $$unsorted 0) % 33.90/34.23 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 33.90/34.23 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 33.90/34.23 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const tptp.gr (-> $$unsorted Bool)) % 33.90/34.23 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const |tptp.'0'| $$unsorted) % 33.90/34.23 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 33.90/34.23 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 33.90/34.23 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 33.90/34.23 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 33.90/34.23 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 33.90/34.23 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 33.90/34.23 (define @t1 () (@var "Xx3" $$unsorted)) % 33.90/34.23 (define @t2 () (tptp.s @t1)) % 33.90/34.23 (define @t3 () (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 33.90/34.23 (define @t4 () (@var "Xx5" $$unsorted)) % 33.90/34.23 (define @t5 () (@var "Xx4" $$unsorted)) % 33.90/34.23 (define @t6 () (= @t5 @t4)) % 33.90/34.23 (define @t7 () (tptp.s @t4)) % 33.90/34.23 (define @t8 () (tptp.s @t5)) % 33.90/34.23 (define @t9 () (= @t8 @t7)) % 33.90/34.23 (define @t10 () (@list @t5 @t4)) % 33.90/34.23 (define @t11 () (forall @t10 (=> @t9 @t6))) % 33.90/34.23 (define @t12 () (@var "Xx6" $$unsorted)) % 33.90/34.23 (define @t13 () (@var "Xx9" $$unsorted)) % 33.90/34.23 (define @t14 () (@var "Xx8" $$unsorted)) % 33.90/34.23 (define @t15 () (@var "Xx7" $$unsorted)) % 33.90/34.23 (define @t16 () (tptp.times_fails @t15 @t14 @t13)) % 33.90/34.23 (define @t17 () (tptp.times_succeeds @t15 @t14 @t13)) % 33.90/34.23 (define @t18 () (@list @t15 @t14 @t13)) % 33.90/34.23 (define @t19 () (@var "Xx12" $$unsorted)) % 33.90/34.23 (define @t20 () (@var "Xx11" $$unsorted)) % 33.90/34.23 (define @t21 () (@var "Xx10" $$unsorted)) % 33.90/34.23 (define @t22 () (tptp.plus_fails @t21 @t20 @t19)) % 33.90/34.23 (define @t23 () (tptp.plus_succeeds @t21 @t20 @t19)) % 33.90/34.23 (define @t24 () (@list @t21 @t20 @t19)) % 33.90/34.23 (define @t25 () (@var "Xx14" $$unsorted)) % 33.90/34.23 (define @t26 () (@var "Xx13" $$unsorted)) % 33.90/34.23 (define @t27 () (|tptp.'@=<_fails'| @t26 @t25)) % 33.90/34.23 (define @t28 () (|tptp.'@=<_succeeds'| @t26 @t25)) % 33.90/34.23 (define @t29 () (@list @t26 @t25)) % 33.90/34.23 (define @t30 () (@var "Xx16" $$unsorted)) % 33.90/34.23 (define @t31 () (@var "Xx15" $$unsorted)) % 33.90/34.23 (define @t32 () (|tptp.'@<_fails'| @t31 @t30)) % 33.90/34.23 (define @t33 () (|tptp.'@<_succeeds'| @t31 @t30)) % 33.90/34.23 (define @t34 () (@list @t31 @t30)) % 33.90/34.23 (define @t35 () (@var "Xx17" $$unsorted)) % 33.90/34.23 (define @t36 () (tptp.nat_fails @t35)) % 33.90/34.23 (define @t37 () (tptp.nat_succeeds @t35)) % 33.90/34.23 (define @t38 () (@list @t35)) % 33.90/34.23 (define @t39 () (= @t1 |tptp.'0'|)) % 33.90/34.23 (define @t40 () (@var "Xx1" $$unsorted)) % 33.90/34.23 (define @t41 () (= @t40 |tptp.'0'|)) % 33.90/34.23 (define @t42 () (@var "Xx2" $$unsorted)) % 33.90/34.23 (define @t43 () (= @t40 @t8)) % 33.90/34.23 (define @t44 () (@list @t40 @t42 @t1)) % 33.90/34.23 (define @t45 () (not @t41)) % 33.90/34.23 (define @t46 () (tptp.times_fails @t5 @t42 @t4)) % 33.90/34.23 (define @t47 () (not @t43)) % 33.90/34.23 (define @t48 () (or @t45 true)) % 33.90/34.23 (define @t49 () (= @t1 @t42)) % 33.90/34.23 (define @t50 () (= @t1 @t7)) % 33.90/34.23 (define @t51 () (not @t50)) % 33.90/34.23 (define @t52 () (|tptp.'@=<_succeeds'| @t1 @t5)) % 33.90/34.23 (define @t53 () (= @t42 @t8)) % 33.90/34.23 (define @t54 () (= @t40 @t2)) % 33.90/34.23 (define @t55 () (and @t54 @t53 @t52)) % 33.90/34.23 (define @t56 () (@list @t1 @t5)) % 33.90/34.23 (define @t57 () (exists @t56 @t55)) % 33.90/34.23 (define @t58 () (or @t57 @t41)) % 33.90/34.23 (define @t59 () (|tptp.'@=<_succeeds'| @t40 @t42)) % 33.90/34.23 (define @t60 () (= @t59 @t58)) % 33.90/34.23 (define @t61 () (@list @t40 @t42)) % 33.90/34.23 (define @t62 () (forall @t61 @t60)) % 33.90/34.23 (define @t63 () (not @t53)) % 33.90/34.23 (define @t64 () (not @t54)) % 33.90/34.23 (define @t65 () (= @t42 @t7)) % 33.90/34.23 (define @t66 () (@list @t4)) % 33.90/34.23 (define @t67 () (tptp.nat_succeeds @t42)) % 33.90/34.23 (define @t68 () (tptp.s @t42)) % 33.90/34.23 (define @t69 () (= @t40 @t68)) % 33.90/34.23 (define @t70 () (@list @t42)) % 33.90/34.23 (define @t71 () (@list @t40)) % 33.90/34.23 (define @t72 () (not @t69)) % 33.90/34.23 (define @t73 () (@var "Xz" $$unsorted)) % 33.90/34.23 (define @t74 () (@var "Xy" $$unsorted)) % 33.90/34.23 (define @t75 () (@var "Xx" $$unsorted)) % 33.90/34.23 (define @t76 () (tptp.plus_succeeds @t75 @t74 @t73)) % 33.90/34.23 (define @t77 () (|tptp.'@+'| @t75 @t74)) % 33.90/34.23 (define @t78 () (tptp.nat_succeeds @t75)) % 33.90/34.23 (define @t79 () (@list @t75 @t74 @t73)) % 33.90/34.23 (define @t80 () (tptp.times_succeeds @t75 @t74 @t73)) % 33.90/34.23 (define @t81 () (|tptp.'@*'| @t75 @t74)) % 33.90/34.23 (define @t82 () (tptp.nat_succeeds @t74)) % 33.90/34.23 (define @t83 () (and @t78 @t82)) % 33.90/34.23 (define @t84 () (@list @t75)) % 33.90/34.23 (define @t85 () (tptp.gr @t75)) % 33.90/34.23 (define @t86 () (tptp.plus_terminates @t75 @t74 @t73)) % 33.90/34.23 (define @t87 () (tptp.nat_succeeds @t73)) % 33.90/34.23 (define @t88 () (tptp.gr @t73)) % 33.90/34.23 (define @t89 () (tptp.gr @t74)) % 33.90/34.23 (define @t90 () (@list @t73)) % 33.90/34.23 (define @t91 () (@list @t75 @t74)) % 33.90/34.23 (define @t92 () (@var "Xz2" $$unsorted)) % 33.90/34.23 (define @t93 () (@var "Xz1" $$unsorted)) % 33.90/34.23 (define @t94 () (= @t93 @t92)) % 33.90/34.23 (define @t95 () (@list @t75 @t74 @t93 @t92)) % 33.90/34.23 (define @t96 () (|tptp.'@+'| |tptp.'0'| @t74)) % 33.90/34.23 (define @t97 () (@list @t74)) % 33.90/34.23 (define @t98 () (forall @t97 (= @t96 @t74))) % 33.90/34.23 (define @t99 () (tptp.s @t75)) % 33.90/34.23 (define @t100 () (|tptp.'@+'| @t99 @t74)) % 33.90/34.23 (define @t101 () (= @t100 (tptp.s @t77))) % 33.90/34.23 (define @t102 () (forall @t91 (=> @t78 @t101))) % 33.90/34.23 (define @t103 () (|tptp.'@+'| @t74 @t73)) % 33.90/34.23 (define @t104 () (and @t78 @t82 @t87)) % 33.90/34.23 (define @t105 () (tptp.s @t74)) % 33.90/34.23 (define @t106 () (|tptp.'@+'| @t75 @t105)) % 33.90/34.23 (define @t107 () (|tptp.'@+'| @t74 @t75)) % 33.90/34.23 (define @t108 () (|tptp.'@+'| @t75 @t73)) % 33.90/34.23 (define @t109 () (|tptp.'@*'| @t74 @t73)) % 33.90/34.23 (define @t110 () (|tptp.'@*'| @t74 @t75)) % 33.90/34.23 (define @t111 () (tptp.s |tptp.'0'|)) % 33.90/34.23 (define @t112 () (|tptp.'@<_terminates'| @t75 @t74)) % 33.90/34.23 (define @t113 () (|tptp.'@<_succeeds'| @t75 @t74)) % 33.90/34.23 (define @t114 () (tptp.s @t73)) % 33.90/34.23 (define @t115 () (|tptp.'@<_succeeds'| @t75 @t73)) % 33.90/34.23 (define @t116 () (|tptp.'@<_succeeds'| @t75 @t105)) % 33.90/34.23 (define @t117 () (|tptp.'@<_succeeds'| @t74 @t73)) % 33.90/34.23 (define @t118 () (= @t75 @t74)) % 33.90/34.23 (define @t119 () (or @t113 @t118)) % 33.90/34.23 (define @t120 () (= @t75 |tptp.'0'|)) % 33.90/34.23 (define @t121 () (|tptp.'@=<_terminates'| @t75 @t74)) % 33.90/34.23 (define @t122 () (|tptp.'@=<_succeeds'| @t75 @t74)) % 33.90/34.23 (define @t123 () (|tptp.'@=<_succeeds'| @t74 @t75)) % 33.90/34.23 (define @t124 () (|tptp.'@=<_succeeds'| @t74 @t73)) % 33.90/34.23 (define @t125 () (|tptp.'@<_succeeds'| @t77 @t108)) % 33.90/34.23 (define @t126 () (|tptp.'@<_succeeds'| @t108 @t103)) % 33.90/34.23 (define @t127 () (|tptp.'@=<_succeeds'| @t77 @t108)) % 33.90/34.23 (define @t128 () (@list @t74 @t73)) % 33.90/34.23 (define @t129 () (forall @t128 (=> @t127 @t124))) % 33.90/34.23 (define @t130 () (=> @t78 @t129)) % 33.90/34.23 (define @t131 () (forall @t84 @t130)) % 33.90/34.23 (define @t132 () (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t42 @t74) (|tptp.'@+'| @t42 @t73))) % 33.90/34.23 (define @t133 () (forall @t128 (=> @t132 @t124))) % 33.90/34.23 (define @t134 () (and (= @t75 @t68) @t67 @t133)) % 33.90/34.23 (define @t135 () (exists @t70 @t134)) % 33.90/34.23 (define @t136 () (or @t135 @t120)) % 33.90/34.23 (define @t137 () (=> @t136 @t129)) % 33.90/34.23 (define @t138 () (forall @t84 @t137)) % 33.90/34.23 (define @t139 () (=> @t138 @t131)) % 33.90/34.23 (define @t140 () (and @t78 @t127)) % 33.90/34.23 (define @t141 () (forall @t79 (=> @t140 @t124))) % 33.90/34.23 (define @t142 () (not @t141)) % 33.90/34.23 (define @t143 () (not @t127)) % 33.90/34.23 (define @t144 () (not @t78)) % 33.90/34.23 (define @t145 () (or @t144 @t143 @t124)) % 33.90/34.23 (define @t146 () (@var "BOUND_VARIABLE_9637" $$unsorted)) % 33.90/34.23 (define @t147 () (@var "BOUND_VARIABLE_9636" $$unsorted)) % 33.90/34.23 (define @t148 () (@var "BOUND_VARIABLE_9635" $$unsorted)) % 33.90/34.23 (define @t149 () (@list @t148 @t147 @t146)) % 33.90/34.23 (define @t150 () (@var "BOUND_VARIABLE_8700" $$unsorted)) % 33.90/34.23 (define @t151 () (@var "BOUND_VARIABLE_8698" $$unsorted)) % 33.90/34.23 (define @t152 () (|tptp.'@=<_succeeds'| @t151 @t150)) % 33.90/34.23 (define @t153 () (not (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t75 @t151) (|tptp.'@+'| @t75 @t150)))) % 33.90/34.23 (define @t154 () (or @t144 @t153 @t152)) % 33.90/34.23 (define @t155 () (@list @t75 @t151 @t150)) % 33.90/34.23 (define @t156 () (forall @t155 @t154)) % 33.90/34.23 (define @t157 () (not @t156)) % 33.90/34.23 (define @t158 () (forall @t79 @t145)) % 33.90/34.23 (define @t159 () (@list true)) % 33.90/34.23 (define @t160 () (or @t153 @t152)) % 33.90/34.23 (define @t161 () (or @t144 @t160)) % 33.90/34.23 (define @t162 () (forall @t155 @t161)) % 33.90/34.23 (define @t163 () (@list @t151 @t150)) % 33.90/34.23 (define @t164 () (forall @t163 @t161)) % 33.90/34.23 (define @t165 () (forall @t163 @t160)) % 33.90/34.23 (define @t166 () (@list @t74 @t73)) % 33.90/34.23 (define @t167 () (or @t144 @t165)) % 33.90/34.23 (define @t168 () (forall @t128 (or @t143 @t124))) % 33.90/34.23 (define @t169 () (@var "BOUND_VARIABLE_8676" $$unsorted)) % 33.90/34.23 (define @t170 () (@var "BOUND_VARIABLE_8674" $$unsorted)) % 33.90/34.23 (define @t171 () (|tptp.'@=<_succeeds'| @t170 @t169)) % 33.90/34.23 (define @t172 () (not (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t75 @t170) (|tptp.'@+'| @t75 @t169)))) % 33.90/34.23 (define @t173 () (= |tptp.'0'| @t75)) % 33.90/34.23 (define @t174 () (not @t173)) % 33.90/34.23 (define @t175 () (@var "BOUND_VARIABLE_8658" $$unsorted)) % 33.90/34.23 (define @t176 () (not (forall @t128 (or (not (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t175 @t74) (|tptp.'@+'| @t175 @t73))) @t124)))) % 33.90/34.23 (define @t177 () (not (tptp.nat_succeeds @t175))) % 33.90/34.23 (define @t178 () (tptp.s @t175)) % 33.90/34.23 (define @t179 () (not (= @t178 @t75))) % 33.90/34.23 (define @t180 () (or @t179 @t177 @t176)) % 33.90/34.23 (define @t181 () (and @t180 @t174)) % 33.90/34.23 (define @t182 () (or @t181 @t172 @t171)) % 33.90/34.23 (define @t183 () (or @t172 @t171)) % 33.90/34.23 (define @t184 () (or @t181 @t183)) % 33.90/34.23 (define @t185 () (@list @t75 @t175 @t170 @t169)) % 33.90/34.23 (define @t186 () (forall @t185 @t184)) % 33.90/34.23 (define @t187 () (forall (@list @t175 @t170 @t169) @t184)) % 33.90/34.23 (define @t188 () (forall (@list @t170 @t169) @t183)) % 33.90/34.23 (define @t189 () (@list @t175)) % 33.90/34.23 (define @t190 () (forall @t189 @t174)) % 33.90/34.23 (define @t191 () (forall @t189 @t180)) % 33.90/34.23 (define @t192 () (and @t191 @t190)) % 33.90/34.23 (define @t193 () (forall @t189 @t181)) % 33.90/34.23 (define @t194 () (or @t193 @t188)) % 33.90/34.23 (define @t195 () (forall @t128 (or (not @t132) @t124))) % 33.90/34.23 (define @t196 () (not @t195)) % 33.90/34.23 (define @t197 () (not @t67)) % 33.90/34.23 (define @t198 () (= @t68 @t75)) % 33.90/34.23 (define @t199 () (not @t198)) % 33.90/34.23 (define @t200 () (or @t199 @t197 @t196)) % 33.90/34.23 (define @t201 () (forall @t70 @t200)) % 33.90/34.23 (define @t202 () (not @t201)) % 33.90/34.23 (define @t203 () (or @t202 @t173)) % 33.90/34.23 (define @t204 () (and @t198 @t67 @t195)) % 33.90/34.23 (define @t205 () (forall @t70 (not @t204))) % 33.90/34.23 (define @t206 () (not @t205)) % 33.90/34.23 (define @t207 () (forall @t185 (or (and (or (not (= @t75 @t178)) @t177 @t176) @t174) @t172 @t171))) % 33.90/34.23 (define @t208 () (not @t207)) % 33.90/34.23 (define @t209 () (@quantifiers_skolemize @t207 3)) % 33.90/34.23 (define @t210 () (@quantifiers_skolemize @t207 0)) % 33.90/34.23 (define @t211 () (|tptp.'@+'| @t210 @t209)) % 33.90/34.23 (define @t212 () (@quantifiers_skolemize @t207 2)) % 33.90/34.23 (define @t213 () (|tptp.'@+'| @t210 @t212)) % 33.90/34.23 (define @t214 () (|tptp.'@=<_succeeds'| @t213 @t211)) % 33.90/34.23 (define @t215 () (|tptp.'@=<_succeeds'| @t212 @t209)) % 33.90/34.23 (define @t216 () (not @t214)) % 33.90/34.23 (define @t217 () (= |tptp.'0'| @t210)) % 33.90/34.23 (define @t218 () (not @t217)) % 33.90/34.23 (define @t219 () (@quantifiers_skolemize @t207 1)) % 33.90/34.23 (define @t220 () (forall @t128 (or (not (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t219 @t74) (|tptp.'@+'| @t219 @t73))) @t124))) % 33.90/34.23 (define @t221 () (not @t220)) % 33.90/34.23 (define @t222 () (tptp.nat_succeeds @t219)) % 33.90/34.23 (define @t223 () (not @t222)) % 33.90/34.23 (define @t224 () (tptp.s @t219)) % 33.90/34.23 (define @t225 () (= @t210 @t224)) % 33.90/34.23 (define @t226 () (not @t225)) % 33.90/34.23 (define @t227 () (or @t226 @t223 @t221)) % 33.90/34.23 (define @t228 () (and @t227 @t218)) % 33.90/34.23 (define @t229 () (or @t228 @t216 @t215)) % 33.90/34.23 (define @t230 () (@list @t229)) % 33.90/34.23 (define @t231 () (not @t215)) % 33.90/34.23 (define @t232 () (= |tptp.'0'| @t224)) % 33.90/34.23 (define @t233 () (not @t232)) % 33.90/34.23 (define @t234 () (and @t225 @t233)) % 33.90/34.23 (define @t235 () (not @t229)) % 33.90/34.23 (define @t236 () (not @t227)) % 33.90/34.23 (define @t237 () (|tptp.'@+'| @t219 @t209)) % 33.90/34.23 (define @t238 () (|tptp.'@+'| @t219 @t212)) % 33.90/34.23 (define @t239 () (|tptp.'@=<_succeeds'| @t238 @t237)) % 33.90/34.23 (define @t240 () (not @t239)) % 33.90/34.23 (define @t241 () (or @t240 @t215)) % 33.90/34.23 (define @t242 () (forall @t91 (or @t144 @t101))) % 33.90/34.23 (define @t243 () (tptp.s @t237)) % 33.90/34.23 (define @t244 () (|tptp.'@+'| @t224 @t209)) % 33.90/34.23 (define @t245 () (= @t244 @t243)) % 33.90/34.23 (define @t246 () (or @t223 @t245)) % 33.90/34.23 (define @t247 () (@list @t219 @t212)) % 33.90/34.23 (define @t248 () (tptp.s @t238)) % 33.90/34.23 (define @t249 () (|tptp.'@+'| @t224 @t212)) % 33.90/34.23 (define @t250 () (= @t249 @t248)) % 33.90/34.23 (define @t251 () (or @t223 @t250)) % 33.90/34.23 (define @t252 () (not @t52)) % 33.90/34.23 (define @t253 () (forall @t56 (or (not (= @t2 @t213)) (not (= @t8 @t211)) @t252))) % 33.90/34.23 (define @t254 () (@quantifiers_skolemize @t253 0)) % 33.90/34.23 (define @t255 () (tptp.s @t254)) % 33.90/34.23 (define @t256 () (= @t213 @t255)) % 33.90/34.23 (define @t257 () (@quantifiers_skolemize @t253 1)) % 33.90/34.23 (define @t258 () (|tptp.'@=<_succeeds'| @t254 @t257)) % 33.90/34.23 (define @t259 () (not @t258)) % 33.90/34.23 (define @t260 () (tptp.s @t257)) % 33.90/34.23 (define @t261 () (= @t211 @t260)) % 33.90/34.23 (define @t262 () (not @t261)) % 33.90/34.23 (define @t263 () (not @t256)) % 33.90/34.23 (define @t264 () (or @t263 @t262 @t259)) % 33.90/34.23 (define @t265 () (= @t248 @t255)) % 33.90/34.23 (define @t266 () (and @t225 @t250 @t256)) % 33.90/34.23 (define @t267 () (= @t243 @t260)) % 33.90/34.23 (define @t268 () (and @t225 @t245 @t261)) % 33.90/34.23 (define @t269 () (= @t238 @t254)) % 33.90/34.23 (define @t270 () (not @t265)) % 33.90/34.23 (define @t271 () (or @t270 @t269)) % 33.90/34.23 (define @t272 () (= @t237 @t257)) % 33.90/34.23 (define @t273 () (not @t267)) % 33.90/34.23 (define @t274 () (or @t273 @t272)) % 33.90/34.23 (define @t275 () (not @t272)) % 33.90/34.23 (define @t276 () (not @t269)) % 33.90/34.23 (define @t277 () (and @t240 @t269 @t272 @t258)) % 33.90/34.23 (define @t278 () (not @t264)) % 33.90/34.23 (define @t279 () (not @t253)) % 33.90/34.23 (define @t280 () (not (= @t260 @t211))) % 33.90/34.23 (define @t281 () (not (= @t255 @t213))) % 33.90/34.23 (define @t282 () (or @t281 @t280 @t259)) % 33.90/34.23 (define @t283 () (not @t282)) % 33.90/34.23 (define @t284 () (= @t8 @t42)) % 33.90/34.23 (define @t285 () (not @t284)) % 33.90/34.23 (define @t286 () (= @t2 @t40)) % 33.90/34.23 (define @t287 () (not @t286)) % 33.90/34.23 (define @t288 () (and @t286 @t284 @t52)) % 33.90/34.23 (define @t289 () (forall @t56 (not @t288))) % 33.90/34.23 (define @t290 () (not @t289)) % 33.90/34.23 (define @t291 () (= |tptp.'0'| @t213)) % 33.90/34.23 (define @t292 () (or @t279 @t291)) % 33.90/34.23 (define @t293 () (= @t214 @t292)) % 33.90/34.23 (define @t294 () (not @t250)) % 33.90/34.23 (define @t295 () (= |tptp.'0'| @t248)) % 33.90/34.23 (define @t296 () (not @t291)) % 33.90/34.23 (define @t297 () (not @t295)) % 33.90/34.23 (define @t298 () (and @t225 @t291 @t297)) % 33.90/34.23 (define @t299 () (|tptp.'@+'| |tptp.'0'| @t209)) % 33.90/34.23 (define @t300 () (= @t209 @t299)) % 33.90/34.23 (define @t301 () (not @t300)) % 33.90/34.23 (define @t302 () (|tptp.'@+'| |tptp.'0'| @t212)) % 33.90/34.23 (define @t303 () (= @t212 @t302)) % 33.90/34.23 (define @t304 () (not @t303)) % 33.90/34.23 (define @t305 () (and @t214 @t217 @t303 @t300 @t231)) % 33.90/34.23 (assume @p1 @t3) % 33.90/34.23 (assume @p2 @t11) % 33.90/34.23 (assume @p3 (tptp.gr |tptp.'0'|)) % 33.90/34.23 (assume @p4 (forall (@list @t12) (= (tptp.gr @t12) (tptp.gr (tptp.s @t12))))) % 33.90/34.23 (assume @p5 (forall @t18 (not (and @t17 @t16)))) % 33.90/34.23 (assume @p6 (forall @t18 (=> (tptp.times_terminates @t15 @t14 @t13) (or @t17 @t16)))) % 33.90/34.23 (assume @p7 (forall @t24 (not (and @t23 @t22)))) % 33.90/34.23 (assume @p8 (forall @t24 (=> (tptp.plus_terminates @t21 @t20 @t19) (or @t23 @t22)))) % 33.90/34.23 (assume @p9 (forall @t29 (not (and @t28 @t27)))) % 33.90/34.23 (assume @p10 (forall @t29 (=> (|tptp.'@=<_terminates'| @t26 @t25) (or @t28 @t27)))) % 33.90/34.23 (assume @p11 (forall @t34 (not (and @t33 @t32)))) % 33.90/34.23 (assume @p12 (forall @t34 (=> (|tptp.'@<_terminates'| @t31 @t30) (or @t33 @t32)))) % 33.90/34.23 (assume @p13 (forall @t38 (not (and @t37 @t36)))) % 33.90/34.23 (assume @p14 (forall @t38 (=> (tptp.nat_terminates @t35) (or @t37 @t36)))) % 33.90/34.23 (assume @p15 (forall @t44 (= (tptp.times_succeeds @t40 @t42 @t1) (or (exists @t10 (and @t43 (tptp.times_succeeds @t5 @t42 @t4) (tptp.plus_succeeds @t42 @t4 @t1))) (and @t41 @t39))))) % 33.90/34.23 (assume @p16 (forall @t44 (= (tptp.times_fails @t40 @t42 @t1) (and (forall @t10 (or @t47 @t46 (tptp.plus_fails @t42 @t4 @t1))) (or @t45 (not @t39)))))) % 33.90/34.23 (assume @p17 (forall @t44 (= (tptp.times_terminates @t40 @t42 @t1) (and (forall @t10 (and true (or @t47 (and (tptp.times_terminates @t5 @t42 @t4) (or @t46 (tptp.plus_terminates @t42 @t4 @t1)))))) true @t48)))) % 33.90/34.23 (assume @p18 (forall @t44 (= (tptp.plus_succeeds @t40 @t42 @t1) (or (exists @t10 (and @t43 @t50 (tptp.plus_succeeds @t5 @t42 @t4))) (and @t41 @t49))))) % 33.90/34.23 (assume @p19 (forall @t44 (= (tptp.plus_fails @t40 @t42 @t1) (and (forall @t10 (or @t47 @t51 (tptp.plus_fails @t5 @t42 @t4))) (or @t45 (not @t49)))))) % 33.90/34.23 (assume @p20 (forall @t44 (= (tptp.plus_terminates @t40 @t42 @t1) (and (forall @t10 (and true (or @t47 (and true (or @t51 (tptp.plus_terminates @t5 @t42 @t4)))))) true @t48)))) % 33.90/34.23 (assume @p21 @t62) % 33.90/34.23 (assume @p22 (forall @t61 (= (|tptp.'@=<_fails'| @t40 @t42) (and (forall @t56 (or @t64 @t63 (|tptp.'@=<_fails'| @t1 @t5))) @t45)))) % 33.90/34.23 (assume @p23 (forall @t61 (= (|tptp.'@=<_terminates'| @t40 @t42) (and (forall @t56 (and true (or @t64 (and true (or @t63 (|tptp.'@=<_terminates'| @t1 @t5)))))) true)))) % 33.90/34.23 (assume @p24 (forall @t61 (= (|tptp.'@<_succeeds'| @t40 @t42) (or (exists @t56 (and @t54 @t53 (|tptp.'@<_succeeds'| @t1 @t5))) (exists @t66 (and @t41 @t65)))))) % 33.90/34.23 (assume @p25 (forall @t61 (= (|tptp.'@<_fails'| @t40 @t42) (and (forall @t56 (or @t64 @t63 (|tptp.'@<_fails'| @t1 @t5))) (forall @t66 (or @t45 (not @t65))))))) % 33.90/34.23 (assume @p26 (forall @t61 (= (|tptp.'@<_terminates'| @t40 @t42) (and (forall @t56 (and true (or @t64 (and true (or @t63 (|tptp.'@<_terminates'| @t1 @t5)))))) (forall @t66 (and true @t48)))))) % 33.90/34.23 (assume @p27 (forall @t71 (= (tptp.nat_succeeds @t40) (or (exists @t70 (and @t69 @t67)) @t41)))) % 33.90/34.23 (assume @p28 (forall @t71 (= (tptp.nat_fails @t40) (and (forall @t70 (or @t72 (tptp.nat_fails @t42))) @t45)))) % 33.90/34.23 (assume @p29 (forall @t71 (= (tptp.nat_terminates @t40) (and (forall @t70 (and true (or @t72 (tptp.nat_terminates @t42)))) true)))) % 33.90/34.23 (assume @p30 (forall @t79 (=> @t78 (= (= @t77 @t73) @t76)))) % 33.90/34.23 (assume @p31 (forall @t79 (=> @t83 (= (= @t81 @t73) @t80)))) % 33.90/34.23 (assume @p32 (forall @t84 (=> @t78 (tptp.nat_terminates @t75)))) % 33.90/34.23 (assume @p33 (forall @t84 (=> @t78 @t85))) % 33.90/34.23 (assume @p34 (forall @t79 (=> @t78 @t86))) % 33.90/34.23 (assume @p35 (forall @t79 (=> @t87 @t86))) % 33.90/34.23 (assume @p36 (forall @t79 (=> @t76 @t78))) % 33.90/34.23 (assume @p37 (forall @t79 (=> (and @t76 @t82) @t87))) % 33.90/34.23 (assume @p38 (forall @t79 (=> (and @t76 @t87) @t82))) % 33.90/34.23 (assume @p39 (forall @t79 (=> @t76 @t86))) % 33.90/34.23 (assume @p40 (forall @t79 (=> @t76 @t85))) % 33.90/34.23 (assume @p41 (forall @t79 (=> (and @t76 @t89) @t88))) % 33.90/34.23 (assume @p42 (forall @t79 (=> (and @t76 @t88) @t89))) % 33.90/34.23 (assume @p43 (forall @t91 (=> @t78 (exists @t90 @t76)))) % 33.90/34.23 (assume @p44 (forall @t95 (=> (and (tptp.plus_succeeds @t75 @t74 @t93) (tptp.plus_succeeds @t75 @t74 @t92)) @t94))) % 33.90/34.23 (assume @p45 @t98) % 33.90/34.23 (assume @p46 @t102) % 33.90/34.23 (assume @p47 (forall @t91 (=> @t83 (tptp.nat_succeeds @t77)))) % 33.90/34.23 (assume @p48 (forall @t79 (=> @t104 (= (|tptp.'@+'| @t77 @t73) (|tptp.'@+'| @t75 @t103))))) % 33.90/34.23 (assume @p49 (forall @t84 (=> @t78 (= (|tptp.'@+'| @t75 |tptp.'0'|) @t75)))) % 33.90/34.23 (assume @p50 (forall @t91 (=> @t83 (= @t106 @t100)))) % 33.90/34.23 (assume @p51 (forall @t91 (=> @t83 (= @t77 @t107)))) % 33.90/34.23 (assume @p52 (forall @t79 (=> (and @t78 (= @t77 @t108)) (= @t74 @t73)))) % 33.90/34.23 (assume @p53 (forall @t79 (=> @t80 @t78))) % 33.90/34.23 (assume @p54 (forall @t79 (=> (and @t80 @t82) @t87))) % 33.90/34.23 (assume @p55 (forall @t79 (=> @t80 @t85))) % 33.90/34.23 (assume @p56 (forall @t79 (=> (and @t80 @t89) @t88))) % 33.90/34.23 (assume @p57 (forall @t79 (=> @t83 (tptp.times_terminates @t75 @t74 @t73)))) % 33.90/34.23 (assume @p58 (forall @t91 (=> @t83 (exists @t90 @t80)))) % 33.90/34.23 (assume @p59 (forall @t95 (=> (and (tptp.times_succeeds @t75 @t74 @t93) (tptp.times_succeeds @t75 @t74 @t92)) @t94))) % 33.90/34.23 (assume @p60 (forall @t97 (=> @t82 (= (|tptp.'@*'| |tptp.'0'| @t74) |tptp.'0'|)))) % 33.90/34.23 (assume @p61 (forall @t91 (=> @t83 (= (|tptp.'@*'| @t99 @t74) (|tptp.'@+'| @t74 @t81))))) % 33.90/34.23 (assume @p62 (forall @t91 (=> @t83 (tptp.nat_succeeds @t81)))) % 33.90/34.23 (assume @p63 (forall @t79 (=> @t104 (= (|tptp.'@*'| @t77 @t73) (|tptp.'@+'| (|tptp.'@*'| @t75 @t73) @t109))))) % 33.90/34.23 (assume @p64 (forall @t79 (=> @t104 (= (|tptp.'@*'| @t81 @t73) (|tptp.'@*'| @t75 @t109))))) % 33.90/34.23 (assume @p65 (forall @t84 (=> @t78 (= (|tptp.'@*'| @t75 |tptp.'0'|) |tptp.'0'|)))) % 33.90/34.23 (assume @p66 (forall (@list @t74 @t75) (=> (and @t82 @t78) (= (|tptp.'@+'| @t110 @t74) (|tptp.'@*'| @t74 @t99))))) % 33.90/34.23 (assume @p67 (forall @t91 (=> @t83 (= @t81 @t110)))) % 33.90/34.23 (assume @p68 (forall @t84 (=> @t78 (= (|tptp.'@*'| @t111 @t75) @t75)))) % 33.90/34.23 (assume @p69 (forall @t84 (=> @t78 (= (|tptp.'@*'| @t75 @t111) @t75)))) % 33.90/34.23 (assume @p70 (forall @t79 (=> @t104 (= (|tptp.'@*'| @t73 @t77) (|tptp.'@+'| (|tptp.'@*'| @t73 @t75) (|tptp.'@*'| @t73 @t74)))))) % 33.90/34.23 (assume @p71 (forall @t91 (=> @t78 @t112))) % 33.90/34.23 (assume @p72 (forall @t91 (=> @t82 @t112))) % 33.90/34.23 (assume @p73 (forall @t91 (=> @t113 @t78))) % 33.90/34.23 (assume @p74 (forall @t91 (=> @t113 (exists @t90 (= @t74 @t114))))) % 33.90/34.23 (assume @p75 (forall @t79 (=> (and @t113 (|tptp.'@<_succeeds'| @t74 @t114)) @t115))) % 33.90/34.23 (assume @p76 (forall @t91 (=> @t113 @t116))) % 33.90/34.23 (assume @p77 (forall @t79 (=> (and @t113 @t117) @t115))) % 33.90/34.23 (assume @p78 (forall @t84 (=> @t78 (|tptp.'@<_fails'| @t75 @t75)))) % 33.90/34.23 (assume @p79 (forall @t84 (=> @t78 (not (|tptp.'@<_succeeds'| @t75 @t75))))) % 33.90/34.23 (assume @p80 (forall @t84 (=> @t78 (|tptp.'@<_succeeds'| @t75 @t99)))) % 33.90/34.23 (assume @p81 (forall @t91 (=> (and @t82 @t116) @t119))) % 33.90/34.23 (assume @p82 (forall @t91 (=> @t83 (or @t113 @t118 (|tptp.'@<_succeeds'| @t74 @t75))))) % 33.90/34.23 (assume @p83 (forall @t84 (=> (and @t78 (not @t120)) (|tptp.'@<_succeeds'| |tptp.'0'| @t75)))) % 33.90/34.23 (assume @p84 (forall @t91 (=> @t78 @t121))) % 33.90/34.23 (assume @p85 (forall @t91 (=> @t82 @t121))) % 33.90/34.23 (assume @p86 (forall @t91 (=> @t122 @t78))) % 33.90/34.23 (assume @p87 (forall @t91 (=> @t122 (exists @t90 (tptp.plus_succeeds @t75 @t73 @t74))))) % 33.90/34.23 (assume @p88 (forall @t91 (=> @t122 (exists @t90 (= @t108 @t74))))) % 33.90/34.23 (assume @p89 (forall @t91 (=> @t113 (exists @t90 (tptp.plus_succeeds @t75 @t114 @t74))))) % 33.90/34.23 (assume @p90 (forall @t91 (=> @t113 (exists @t90 (= (|tptp.'@+'| @t75 @t114) @t74))))) % 33.90/34.23 (assume @p91 (forall @t91 (=> @t113 @t122))) % 33.90/34.23 (assume @p92 (forall @t84 (=> @t78 (|tptp.'@=<_succeeds'| @t75 @t75)))) % 33.90/34.23 (assume @p93 (forall @t91 (=> @t83 (or @t122 @t123)))) % 33.90/34.23 (assume @p94 (forall @t91 (=> @t83 (or @t113 @t123)))) % 33.90/34.23 (assume @p95 (forall @t91 (=> (and @t78 @t82 (|tptp.'@=<_fails'| @t75 @t74)) @t123))) % 33.90/34.23 (assume @p96 (forall @t91 (=> (and @t122 @t82) @t119))) % 33.90/34.23 (assume @p97 (forall @t79 (=> (and @t122 @t117) @t115))) % 33.90/34.23 (assume @p98 (forall @t79 (=> (and @t113 @t124) @t115))) % 33.90/34.23 (assume @p99 (forall @t79 (=> (and @t122 @t124) (|tptp.'@=<_succeeds'| @t75 @t73)))) % 33.90/34.23 (assume @p100 (forall @t91 (=> (and @t122 @t123) @t118))) % 33.90/34.23 (assume @p101 (forall @t84 (=> @t78 (|tptp.'@=<_succeeds'| @t75 @t99)))) % 33.90/34.23 (assume @p102 (forall @t84 (=> @t78 (|tptp.'@=<_fails'| @t99 @t75)))) % 33.90/34.23 (assume @p103 (forall @t79 (=> (and @t78 @t117) @t125))) % 33.90/34.23 (assume @p104 (forall @t91 (=> @t78 (|tptp.'@<_succeeds'| @t75 @t106)))) % 33.90/34.23 (assume @p105 (forall @t79 (=> (and @t113 @t82 @t87) @t126))) % 33.90/34.23 (assume @p106 (forall @t91 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t74) @t78 @t82) (|tptp.'@<_succeeds'| @t75 @t107)))) % 33.90/34.23 (assume @p107 (forall @t79 (=> (and @t78 @t124) @t127))) % 33.90/34.23 (assume @p108 (forall @t79 (=> (and @t122 @t82 @t87) (|tptp.'@=<_succeeds'| @t108 @t103)))) % 33.90/34.23 (assume @p109 (forall @t91 (=> @t78 (|tptp.'@=<_succeeds'| @t75 @t77)))) % 33.90/34.23 (assume @p110 (forall @t91 (=> @t83 (|tptp.'@=<_succeeds'| @t74 @t77)))) % 33.90/34.23 (assume @p111 (forall @t79 (=> (and @t78 @t125) @t117))) % 33.90/34.23 (assume @p112 (forall @t79 (=> (and @t78 @t82 @t87 @t126) @t113))) % 33.90/34.23 (assume @p113 @t139) % 33.90/34.23 (assume @p114 @t142) % 33.90/34.23 (assume @p115 true) % 33.90/34.23 (step @p116 :rule aci_norm :args ((= (or (or @t144 @t143) @t124) @t145))) % 33.90/34.23 (step @p117 :rule refl :args (@t124)) % 33.90/34.23 (step @p118 :rule bool-and-de-morgan :args (@t78 @t127 true)) % 33.90/34.23 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t140) @t124))) % 33.90/34.23 (step @p120 :rule trans :premises (@p119 @p116)) % 33.90/34.23 (step @p121 :rule bool-impl-elim :args (@t140 @t124)) % 33.90/34.23 (step @p122 :rule trans :premises (@p121 @p120)) % 33.90/34.23 (step @p123 :rule cong :premises (@p122) :args (@t141)) % 33.90/34.23 (step @p124 :rule cong :premises (@p123) :args (@t142)) % 33.90/34.23 (step @p125 :rule eq_resolve :premises (@p114 @p124)) % 33.90/34.23 (step @p126 :rule alpha_equiv :args ((forall (@list @t148 @t147 @t146) (or (not (tptp.nat_succeeds @t148)) (not (|tptp.'@=<_succeeds'| (|tptp.'@+'| @t148 @t147) (|tptp.'@+'| @t148 @t146))) (|tptp.'@=<_succeeds'| @t147 @t146))) @t149 (@list @t75 @t74 @t73))) % 33.90/34.23 (step @p127 :rule alpha_equiv :args (@t156 (@list @t75 @t151 @t150) @t149)) % 33.90/34.23 (step @p128 :rule trans :premises (@p127 @p126)) % 33.90/34.23 (step @p129 :rule equiv_elim1 :premises (@p128)) % 33.90/34.23 (step @p130 :rule reordering :premises (@p129) :args ((or @t158 @t157))) % 33.90/34.23 (step @p131 :rule chain_m_resolution :premises (@p130 @p125) :args (@t157 @t159 (@list @t158))) % 33.90/34.23 (step @p132 :rule aci_norm :args ((= @t161 @t154))) % 33.90/34.23 (step @p133 :rule cong :premises (@p132) :args (@t162)) % 33.90/34.23 (step @p134 :rule quant-merge-prenex :args ((= (forall @t84 @t164) @t162))) % 33.90/34.23 (step @p135 :rule alpha_equiv :args (@t165 (@list @t151 @t150) @t166)) % 33.90/34.23 (step @p136 :rule refl :args (@t144)) % 33.90/34.23 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t167)) % 33.90/34.23 (step @p138 :rule quant-miniscope-or :args ((= @t164 @t167))) % 33.90/34.23 (step @p139 :rule trans :premises (@p138 @p137)) % 33.90/34.23 (step @p140 :rule symm :premises (@p139)) % 33.90/34.23 (step @p141 :rule cong :premises (@p140) :args ((forall @t84 (or @t144 @t168)))) % 33.90/34.23 (step @p142 :rule trans :premises (@p141 @p134)) % 33.90/34.23 (step @p143 :rule trans :premises (@p142 @p133)) % 33.90/34.23 (step @p144 :rule bool-impl-elim :args (@t78 @t168)) % 33.90/34.23 (step @p145 :rule cong :premises (@p144) :args ((forall @t84 (=> @t78 @t168)))) % 33.90/34.23 (step @p146 :rule trans :premises (@p145 @p143)) % 33.90/34.23 (step @p147 :rule bool-impl-elim :args (@t127 @t124)) % 33.90/34.23 (step @p148 :rule cong :premises (@p147) :args (@t129)) % 33.90/34.23 (step @p149 :rule refl :args (@t78)) % 33.90/34.23 (step @p150 :rule cong :premises (@p149 @p148) :args (@t130)) % 33.90/34.23 (step @p151 :rule cong :premises (@p150) :args (@t131)) % 33.90/34.23 (step @p152 :rule trans :premises (@p151 @p146)) % 33.90/34.23 (step @p153 :rule refl :args (@t171)) % 33.90/34.23 (step @p154 :rule refl :args (@t172)) % 33.90/34.23 (step @p155 :rule refl :args (@t174)) % 33.90/34.23 (step @p156 :rule refl :args (@t176)) % 33.90/34.23 (step @p157 :rule refl :args (@t177)) % 33.90/34.23 (step @p158 :rule eq-symm :args (@t178 @t75)) % 33.90/34.23 (step @p159 :rule cong :premises (@p158) :args (@t179)) % 33.90/34.23 (step @p160 :rule nary_cong :premises (@p159 @p157 @p156) :args (@t180)) % 33.90/34.23 (step @p161 :rule nary_cong :premises (@p160 @p155) :args (@t181)) % 33.90/34.23 (step @p162 :rule nary_cong :premises (@p161 @p154 @p153) :args (@t182)) % 33.90/34.23 (step @p163 :rule aci_norm :args ((= @t184 @t182))) % 33.90/34.23 (step @p164 :rule trans :premises (@p163 @p162)) % 33.90/34.23 (step @p165 :rule cong :premises (@p164) :args (@t186)) % 33.90/34.23 (step @p166 :rule quant-merge-prenex :args ((= (forall @t84 @t187) @t186))) % 33.90/34.23 (step @p167 :rule alpha_equiv :args (@t188 (@list @t170 @t169) @t166)) % 33.90/34.23 (step @p168 :rule quant-unused-vars :args ((= @t190 @t174))) % 33.90/34.23 (step @p169 :rule alpha_equiv :args (@t191 (@list @t175) (@list @t42))) % 33.90/34.23 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t192)) % 33.90/34.23 (step @p171 :rule quant-miniscope-and :args ((= @t193 @t192))) % 33.90/34.23 (step @p172 :rule trans :premises (@p171 @p170)) % 33.90/34.23 (step @p173 :rule nary_cong :premises (@p172 @p167) :args (@t194)) % 33.90/34.23 (step @p174 :rule quant-miniscope-or :args ((= @t187 @t194))) % 33.90/34.23 (step @p175 :rule trans :premises (@p174 @p173)) % 33.90/34.23 (step @p176 :rule symm :premises (@p175)) % 33.90/34.23 (step @p177 :rule cong :premises (@p176) :args ((forall @t84 (or (and @t201 @t174) @t168)))) % 33.90/34.23 (step @p178 :rule trans :premises (@p177 @p166)) % 33.90/34.23 (step @p179 :rule trans :premises (@p178 @p165)) % 33.90/34.23 (step @p180 :rule refl :args (@t168)) % 33.90/34.23 (step @p181 :rule refl :args (@t174)) % 33.90/34.23 (step @p182 :rule bool-double-not-elim :args (@t201)) % 33.90/34.23 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((and (not @t202) @t174))) % 33.90/34.23 (step @p184 :rule bool-or-de-morgan :args (@t202 @t173 false)) % 33.90/34.23 (step @p185 :rule trans :premises (@p184 @p183)) % 33.90/34.23 (step @p186 :rule nary_cong :premises (@p185 @p180) :args ((or (not @t203) @t168))) % 33.90/34.23 (step @p187 :rule bool-impl-elim :args (@t203 @t168)) % 33.90/34.23 (step @p188 :rule trans :premises (@p187 @p186)) % 33.90/34.23 (step @p189 :rule cong :premises (@p188) :args ((forall @t84 (=> @t203 @t168)))) % 33.90/34.23 (step @p190 :rule trans :premises (@p189 @p179)) % 33.90/34.23 (step @p191 :rule eq-symm :args (@t75 |tptp.'0'|)) % 33.90/34.23 (step @p192 :rule aci_norm :args ((= (or @t199 (or @t197 @t196)) @t200))) % 33.90/34.23 (step @p193 :rule bool-and-de-morgan :args (@t67 @t195 true)) % 33.90/34.23 (step @p194 :rule refl :args (@t199)) % 33.90/34.23 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t199 (not (and @t67 @t195))))) % 33.90/34.23 (step @p196 :rule bool-and-de-morgan :args (@t198 @t67 (and @t195))) % 33.90/34.23 (step @p197 :rule trans :premises (@p196 @p195)) % 33.90/34.23 (step @p198 :rule trans :premises (@p197 @p192)) % 33.90/34.23 (step @p199 :rule cong :premises (@p198) :args (@t205)) % 33.90/34.23 (step @p200 :rule cong :premises (@p199) :args (@t206)) % 33.90/34.23 (step @p201 :rule exists-elim :args ((= (exists @t70 @t204) @t206))) % 33.90/34.23 (step @p202 :rule trans :premises (@p201 @p200)) % 33.90/34.23 (step @p203 :rule bool-impl-elim :args (@t132 @t124)) % 33.90/34.23 (step @p204 :rule cong :premises (@p203) :args (@t133)) % 33.90/34.23 (step @p205 :rule refl :args (@t67)) % 33.90/34.23 (step @p206 :rule eq-symm :args (@t75 @t68)) % 33.90/34.23 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204) :args (@t134)) % 33.90/34.23 (step @p208 :rule cong :premises (@p207) :args (@t135)) % 33.90/34.23 (step @p209 :rule trans :premises (@p208 @p202)) % 33.90/34.23 (step @p210 :rule nary_cong :premises (@p209 @p191) :args (@t136)) % 33.90/34.23 (step @p211 :rule cong :premises (@p210 @p148) :args (@t137)) % 33.90/34.23 (step @p212 :rule cong :premises (@p211) :args (@t138)) % 33.90/34.23 (step @p213 :rule trans :premises (@p212 @p190)) % 33.90/34.23 (step @p214 :rule cong :premises (@p213 @p152) :args (@t139)) % 33.90/34.23 (step @p215 :rule eq_resolve :premises (@p113 @p214)) % 33.90/34.23 (step @p216 :rule implies_elim :premises (@p215)) % 33.90/34.23 (step @p217 :rule reordering :premises (@p216) :args ((or @t156 @t208))) % 33.90/34.23 (step @p218 :rule chain_m_resolution :premises (@p217 @p131) :args (@t208 @t159 (@list @t156))) % 33.90/34.23 (step @p219 :rule skolemize :premises (@p218)) % 33.90/34.23 (step @p220 :rule bool-double-not-elim :args (@t214)) % 33.90/34.23 (step @p221 :rule refl :args (@t229)) % 33.90/34.23 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t229 (not @t216)))) % 33.90/34.23 (step @p223 :rule cnf_or_neg :args (@t229 1)) % 33.90/34.23 (step @p224 :rule eq_resolve :premises (@p223 @p222)) % 33.90/34.23 (step @p225 :rule reordering :premises (@p224) :args ((or @t214 @t229))) % 33.90/34.23 (step @p226 :rule chain_m_resolution :premises (@p225 @p219) :args (@t214 @t159 @t230)) % 33.90/34.23 (step @p227 :rule cnf_or_neg :args (@t229 2)) % 33.90/34.23 (step @p228 :rule chain_m_resolution :premises (@p227 @p219) :args (@t231 @t159 @t230)) % 33.90/34.23 (step @p229 :rule instantiate :premises (@p1) :args ((@list @t219))) % 33.90/34.23 (step @p230 :rule refl :args (@t218)) % 33.90/34.23 (step @p231 :rule bool-double-not-elim :args (@t232)) % 33.90/34.23 (step @p232 :rule refl :args (@t226)) % 33.90/34.23 (step @p233 :rule nary_cong :premises (@p232 @p231 @p230) :args ((or @t226 (not @t233) @t218))) % 33.90/34.23 (assume-push @p562 @t225) % 33.90/34.23 (assume-push @p563 @t233) % 33.90/34.23 (assume-push @p564 @t233) % 33.90/34.23 (assume-push @p565 @t225) % 33.90/34.23 (step @p238 :rule false_intro :premises (@p229)) % 33.90/34.23 (step @p239 :rule refl :args (|tptp.'0'|)) % 33.90/34.23 (step @p240 :rule cong :premises (@p239 @p562) :args (@t217)) % 33.90/34.23 (step @p241 :rule trans :premises (@p240 @p238)) % 33.90/34.23 (step @p242 :rule false_elim :premises (@p241)) % 33.90/34.23 (step-pop @p566 :rule scope :premises (@p242)) % 33.90/34.23 (step-pop @p567 :rule scope :premises (@p566)) % 33.90/34.23 (step @p243 :rule process_scope :premises (@p567) :args (@t218)) % 33.90/34.23 (step @p246 :rule and_intro :premises (@p229 @p562)) % 33.90/34.23 (step @p247 :rule modus_ponens :premises (@p246 @p243)) % 33.90/34.23 (step-pop @p568 :rule scope :premises (@p247)) % 33.90/34.23 (step-pop @p569 :rule scope :premises (@p568)) % 33.90/34.23 (step @p248 :rule process_scope :premises (@p569) :args (@t218)) % 33.90/34.23 (step @p251 :rule implies_elim :premises (@p248)) % 33.90/34.23 (step @p252 :rule cnf_and_neg :args (@t234)) % 33.90/34.23 (step @p253 :rule resolution :premises (@p252 @p251) :args (true @t234)) % 33.90/34.23 (step @p254 :rule eq_resolve :premises (@p253 @p233)) % 33.90/34.23 (step @p255 :rule reordering :premises (@p254) :args ((or @t226 @t218 @t232))) % 33.90/34.23 (assume-push @p570 @t3) % 33.90/34.23 (step-pop @p571 :rule scope :premises (@p229)) % 33.90/34.23 (step @p257 :rule process_scope :premises (@p571) :args (@t233)) % 33.90/34.23 (step @p259 :rule implies_elim :premises (@p257)) % 33.90/34.23 (step @p260 :rule refl :args (@t235)) % 33.90/34.23 (step @p261 :rule bool-double-not-elim :args (@t207)) % 33.90/34.23 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or (not @t208) @t235))) % 33.90/34.23 (assume-push @p572 @t208) % 33.90/34.23 (step-pop @p573 :rule scope :premises (@p219)) % 33.90/34.23 (step @p264 :rule process_scope :premises (@p573) :args (@t235)) % 33.90/34.23 (step @p266 :rule implies_elim :premises (@p264)) % 33.90/34.23 (step @p267 :rule eq_resolve :premises (@p266 @p262)) % 33.90/34.23 (step @p268 :rule cnf_or_neg :args (@t229 0)) % 33.90/34.23 (step @p269 :rule bool-double-not-elim :args (@t217)) % 33.90/34.23 (step @p270 :rule refl :args (@t236)) % 33.90/34.23 (step @p271 :rule refl :args (@t228)) % 33.90/34.23 (step @p272 :rule nary_cong :premises (@p271 @p270 @p269) :args ((or @t228 @t236 (not @t218)))) % 33.90/34.23 (step @p273 :rule cnf_and_neg :args (@t228)) % 33.90/34.23 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 33.90/34.23 (step @p275 :rule reordering :premises (@p274) :args ((or @t217 @t228 @t236))) % 33.90/34.23 (step @p276 :rule bool-double-not-elim :args (@t220)) % 33.90/34.23 (step @p277 :rule refl :args (@t227)) % 33.90/34.23 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or @t227 (not @t221)))) % 33.90/34.23 (step @p279 :rule cnf_or_neg :args (@t227 2)) % 33.90/34.23 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 33.90/34.23 (step @p281 :rule reordering :premises (@p280) :args ((or @t220 @t227))) % 33.90/34.23 (assume-push @p574 @t220) % 33.90/34.23 (step @p283 :rule instantiate :premises (@p574) :args ((@list @t212 @t209))) % 33.90/34.23 (step-pop @p575 :rule scope :premises (@p283)) % 33.90/34.23 (step @p284 :rule process_scope :premises (@p575) :args (@t241)) % 33.90/34.23 (step @p286 :rule implies_elim :premises (@p284)) % 33.90/34.23 (step @p287 :rule cnf_or_pos :args (@t241)) % 33.90/34.23 (step @p288 :rule reordering :premises (@p287) :args ((or @t215 @t240 (not @t241)))) % 33.90/34.23 (step @p289 :rule bool-double-not-elim :args (@t222)) % 33.90/34.23 (step @p290 :rule nary_cong :premises (@p277 @p289) :args ((or @t227 (not @t223)))) % 33.90/34.23 (step @p291 :rule cnf_or_neg :args (@t227 1)) % 33.90/34.23 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 33.90/34.23 (step @p293 :rule reordering :premises (@p292) :args ((or @t222 @t227))) % 33.90/34.23 (step @p294 :rule bool-impl-elim :args (@t78 @t101)) % 33.90/34.23 (step @p295 :rule cong :premises (@p294) :args (@t102)) % 33.90/34.23 (step @p296 :rule eq_resolve :premises (@p46 @p295)) % 33.90/34.23 (assume-push @p576 @t242) % 33.90/34.23 (step @p298 :rule instantiate :premises (@p296) :args ((@list @t219 @t209))) % 33.90/34.23 (step-pop @p577 :rule scope :premises (@p298)) % 33.90/34.23 (step @p299 :rule process_scope :premises (@p577) :args (@t246)) % 33.90/34.23 (step @p301 :rule implies_elim :premises (@p299)) % 33.90/34.23 (step @p302 :rule cnf_or_pos :args (@t246)) % 33.90/34.23 (step @p303 :rule reordering :premises (@p302) :args ((or @t223 @t245 (not @t246)))) % 33.90/34.23 (assume-push @p578 @t242) % 33.90/34.23 (step @p305 :rule instantiate :premises (@p296) :args (@t247)) % 33.90/34.23 (step-pop @p579 :rule scope :premises (@p305)) % 33.90/34.23 (step @p306 :rule process_scope :premises (@p579) :args (@t251)) % 33.90/34.23 (step @p308 :rule implies_elim :premises (@p306)) % 33.90/34.23 (step @p309 :rule cnf_or_pos :args (@t251)) % 33.90/34.23 (step @p310 :rule reordering :premises (@p309) :args ((or @t223 @t250 (not @t251)))) % 33.90/34.23 (step @p311 :rule bool-double-not-elim :args (@t256)) % 33.90/34.23 (step @p312 :rule refl :args (@t264)) % 33.90/34.23 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t264 (not @t263)))) % 33.90/34.23 (step @p314 :rule cnf_or_neg :args (@t264 0)) % 33.90/34.23 (step @p315 :rule eq_resolve :premises (@p314 @p313)) % 33.90/34.23 (step @p316 :rule reordering :premises (@p315) :args ((or @t256 @t264))) % 33.90/34.23 (step @p317 :rule bool-double-not-elim :args (@t261)) % 33.90/34.23 (step @p318 :rule nary_cong :premises (@p312 @p317) :args ((or @t264 (not @t262)))) % 33.90/34.23 (step @p319 :rule cnf_or_neg :args (@t264 1)) % 33.90/34.23 (step @p320 :rule eq_resolve :premises (@p319 @p318)) % 33.90/34.23 (step @p321 :rule reordering :premises (@p320) :args ((or @t261 @t264))) % 33.90/34.23 (step @p322 :rule bool-double-not-elim :args (@t258)) % 33.90/34.23 (step @p323 :rule nary_cong :premises (@p312 @p322) :args ((or @t264 (not @t259)))) % 33.90/34.23 (step @p324 :rule cnf_or_neg :args (@t264 2)) % 33.90/34.23 (step @p325 :rule eq_resolve :premises (@p324 @p323)) % 33.90/34.23 (step @p326 :rule reordering :premises (@p325) :args ((or @t258 @t264))) % 33.90/34.23 (assume-push @p580 @t225) % 33.90/34.23 (assume-push @p581 @t250) % 33.90/34.23 (assume-push @p582 @t256) % 33.90/34.23 (assume-push @p583 @t256) % 33.90/34.23 (assume-push @p584 @t225) % 33.90/34.23 (assume-push @p585 @t250) % 33.90/34.23 (step @p333 :rule refl :args (@t212)) % 33.90/34.23 (step @p334 :rule symm :premises (@p580)) % 33.90/34.23 (step @p335 :rule cong :premises (@p334 @p333) :args (@t249)) % 33.90/34.23 (step @p336 :rule symm :premises (@p581)) % 33.90/34.23 (step @p337 :rule trans :premises (@p336 @p335 @p582)) % 33.90/34.23 (step-pop @p586 :rule scope :premises (@p337)) % 33.90/34.23 (step-pop @p587 :rule scope :premises (@p586)) % 33.90/34.23 (step-pop @p588 :rule scope :premises (@p587)) % 33.90/34.23 (step @p338 :rule process_scope :premises (@p588) :args (@t265)) % 33.90/34.23 (step @p342 :rule and_intro :premises (@p582 @p580 @p581)) % 33.90/34.23 (step @p343 :rule modus_ponens :premises (@p342 @p338)) % 33.90/34.23 (step-pop @p589 :rule scope :premises (@p343)) % 33.90/34.23 (step-pop @p590 :rule scope :premises (@p589)) % 33.90/34.23 (step-pop @p591 :rule scope :premises (@p590)) % 33.90/34.23 (step @p344 :rule process_scope :premises (@p591) :args (@t265)) % 33.90/34.23 (step @p348 :rule implies_elim :premises (@p344)) % 33.90/34.23 (step @p349 :rule cnf_and_neg :args (@t266)) % 33.90/34.23 (step @p350 :rule resolution :premises (@p349 @p348) :args (true @t266)) % 33.90/34.23 (assume-push @p592 @t225) % 33.90/34.23 (assume-push @p593 @t245) % 33.90/34.23 (assume-push @p594 @t261) % 33.90/34.23 (assume-push @p595 @t261) % 33.90/34.23 (assume-push @p596 @t225) % 33.90/34.23 (assume-push @p597 @t245) % 33.90/34.23 (step @p357 :rule refl :args (@t209)) % 33.90/34.23 (step @p358 :rule symm :premises (@p592)) % 33.90/34.23 (step @p359 :rule cong :premises (@p358 @p357) :args (@t244)) % 33.90/34.23 (step @p360 :rule symm :premises (@p593)) % 33.90/34.23 (step @p361 :rule trans :premises (@p360 @p359 @p594)) % 33.90/34.23 (step-pop @p598 :rule scope :premises (@p361)) % 33.90/34.23 (step-pop @p599 :rule scope :premises (@p598)) % 33.90/34.23 (step-pop @p600 :rule scope :premises (@p599)) % 33.90/34.23 (step @p362 :rule process_scope :premises (@p600) :args (@t267)) % 33.90/34.23 (step @p366 :rule and_intro :premises (@p594 @p592 @p593)) % 33.90/34.23 (step @p367 :rule modus_ponens :premises (@p366 @p362)) % 33.90/34.23 (step-pop @p601 :rule scope :premises (@p367)) % 33.90/34.23 (step-pop @p602 :rule scope :premises (@p601)) % 33.90/34.23 (step-pop @p603 :rule scope :premises (@p602)) % 33.90/34.23 (step @p368 :rule process_scope :premises (@p603) :args (@t267)) % 33.90/34.23 (step @p372 :rule implies_elim :premises (@p368)) % 33.90/34.23 (step @p373 :rule cnf_and_neg :args (@t268)) % 33.90/34.23 (step @p374 :rule resolution :premises (@p373 @p372) :args (true @t268)) % 33.90/34.23 (step @p375 :rule bool-impl-elim :args (@t9 @t6)) % 33.90/34.23 (step @p376 :rule cong :premises (@p375) :args (@t11)) % 33.90/34.23 (step @p377 :rule eq_resolve :premises (@p2 @p376)) % 33.90/34.23 (step @p378 :rule instantiate :premises (@p377) :args ((@list @t238 @t254))) % 33.90/34.23 (step @p379 :rule cnf_or_pos :args (@t271)) % 33.90/34.23 (step @p380 :rule reordering :premises (@p379) :args ((or @t270 @t269 (not @t271)))) % 33.90/34.23 (step @p381 :rule instantiate :premises (@p377) :args ((@list @t237 @t257))) % 33.90/34.23 (step @p382 :rule cnf_or_pos :args (@t274)) % 33.90/34.23 (step @p383 :rule reordering :premises (@p382) :args ((or @t273 @t272 (not @t274)))) % 33.90/34.23 (step @p384 :rule bool-double-not-elim :args (@t239)) % 33.90/34.23 (step @p385 :rule refl :args (@t275)) % 33.90/34.23 (step @p386 :rule refl :args (@t276)) % 33.90/34.23 (step @p387 :rule refl :args (@t259)) % 33.90/34.23 (step @p388 :rule nary_cong :premises (@p387 @p386 @p385 @p384) :args ((or @t259 @t276 @t275 (not @t240)))) % 33.90/34.23 (assume-push @p604 @t240) % 33.90/34.23 (assume-push @p605 @t269) % 33.90/34.23 (assume-push @p606 @t272) % 33.90/34.23 (assume-push @p607 @t258) % 33.90/34.23 (step @p393 :rule evaluate :args ((= true false))) % 33.90/34.23 (step @p394 :rule false_intro :premises (@p604)) % 33.90/34.23 (step @p395 :rule symm :premises (@p606)) % 33.90/34.23 (step @p396 :rule symm :premises (@p605)) % 33.90/34.23 (step @p397 :rule cong :premises (@p396 @p395) :args (@t258)) % 33.90/34.23 (step @p398 :rule true_intro :premises (@p607)) % 33.90/34.23 (step @p399 :rule symm :premises (@p398)) % 33.90/34.23 (step @p400 :rule trans :premises (@p399 @p397 @p394)) % 33.90/34.23 (step @p401 false :rule eq_resolve :premises (@p400 @p393)) % 33.90/34.23 (step-pop @p608 :rule scope :premises (@p401)) % 33.90/34.23 (step-pop @p609 :rule scope :premises (@p608)) % 33.90/34.23 (step-pop @p610 :rule scope :premises (@p609)) % 33.90/34.23 (step-pop @p611 :rule scope :premises (@p610)) % 33.90/34.23 (step @p402 :rule process_scope :premises (@p611) :args (false)) % 33.90/34.23 (assume-push @p612 @t258) % 33.90/34.23 (assume-push @p613 @t269) % 33.90/34.23 (assume-push @p614 @t272) % 33.90/34.23 (assume-push @p615 @t240) % 33.90/34.23 (step @p411 :rule and_intro :premises (@p615 @p613 @p614 @p612)) % 33.90/34.23 (step-pop @p616 :rule scope :premises (@p411)) % 33.90/34.23 (step-pop @p617 :rule scope :premises (@p616)) % 33.90/34.23 (step-pop @p618 :rule scope :premises (@p617)) % 33.90/34.23 (step-pop @p619 :rule scope :premises (@p618)) % 33.90/34.23 (step @p412 :rule process_scope :premises (@p619) :args (@t277)) % 33.90/34.23 (step @p417 :rule implies_elim :premises (@p412)) % 33.90/34.23 (step @p418 :rule resolution :premises (@p417 @p402) :args (true @t277)) % 33.90/34.23 (step @p419 :rule not_and :premises (@p418)) % 33.90/34.23 (step @p420 :rule eq_resolve :premises (@p419 @p388)) % 33.90/34.23 (step @p421 :rule chain_m_resolution :premises (@p420 @p383 @p381 @p380 @p378 @p374 @p350 @p326 @p321 @p316 @p310 @p308 @p303 @p301 @p296 @p293 @p288 @p227 @p286 @p281 @p275 @p268 @p267 @p217 @p130 @p125 @p255 @p259 @p1) :args ((or @t226 @t264) (@list false false false false false false false false false false false false false false false true true false false true true true true true true true true false) (@list @t272 @t274 @t269 @t271 @t267 @t265 @t258 @t261 @t256 @t250 @t251 @t245 @t246 @t242 @t222 @t239 @t215 @t241 @t220 @t227 @t228 @t229 @t207 @t156 @t158 @t217 @t232 @t3))) % 33.90/34.23 (step @p422 :rule chain_m_resolution :premises (@p268 @p219) :args ((not @t228) @t159 @t230)) % 33.90/34.23 (step @p423 :rule refl :args (@t278)) % 33.90/34.23 (step @p424 :rule bool-double-not-elim :args (@t253)) % 33.90/34.23 (step @p425 :rule nary_cong :premises (@p424 @p423) :args ((or (not @t279) @t278))) % 33.90/34.23 (step @p426 :rule eq-symm :args (@t260 @t211)) % 33.90/34.23 (step @p427 :rule cong :premises (@p426) :args (@t280)) % 33.90/34.23 (step @p428 :rule eq-symm :args (@t255 @t213)) % 33.90/34.23 (step @p429 :rule cong :premises (@p428) :args (@t281)) % 33.90/34.23 (step @p430 :rule nary_cong :premises (@p429 @p427 @p387) :args (@t282)) % 33.90/34.23 (step @p431 :rule cong :premises (@p430) :args (@t283)) % 33.90/34.23 (step @p432 :rule refl :args (@t279)) % 33.90/34.23 (step @p433 :rule cong :premises (@p432 @p431) :args ((=> @t279 @t283))) % 33.90/34.23 (assume-push @p620 @t279) % 33.90/34.23 (step @p435 :rule skolemize :premises (@p620)) % 33.90/34.23 (step-pop @p621 :rule scope :premises (@p435)) % 33.90/34.23 (step @p436 :rule process_scope :premises (@p621) :args (@t283)) % 33.90/34.23 (step @p438 :rule eq_resolve :premises (@p436 @p433)) % 33.90/34.23 (step @p439 :rule implies_elim :premises (@p438)) % 33.90/34.23 (step @p440 :rule eq_resolve :premises (@p439 @p425)) % 33.90/34.23 (step @p441 :rule eq-symm :args (@t40 |tptp.'0'|)) % 33.90/34.23 (step @p442 :rule aci_norm :args ((= (or @t287 (or @t285 @t252)) (or @t287 @t285 @t252)))) % 33.90/34.23 (step @p443 :rule bool-and-de-morgan :args (@t284 @t52 true)) % 33.90/34.23 (step @p444 :rule refl :args (@t287)) % 33.90/34.23 (step @p445 :rule nary_cong :premises (@p444 @p443) :args ((or @t287 (not (and @t284 @t52))))) % 33.90/34.23 (step @p446 :rule bool-and-de-morgan :args (@t286 @t284 (and @t52))) % 33.90/34.23 (step @p447 :rule trans :premises (@p446 @p445)) % 33.90/34.23 (step @p448 :rule trans :premises (@p447 @p442)) % 33.90/34.23 (step @p449 :rule cong :premises (@p448) :args (@t289)) % 33.90/34.23 (step @p450 :rule cong :premises (@p449) :args (@t290)) % 33.90/34.23 (step @p451 :rule exists-elim :args ((= (exists @t56 @t288) @t290))) % 33.90/34.23 (step @p452 :rule trans :premises (@p451 @p450)) % 33.90/34.23 (step @p453 :rule refl :args (@t52)) % 33.90/34.23 (step @p454 :rule eq-symm :args (@t42 @t8)) % 33.90/34.23 (step @p455 :rule eq-symm :args (@t40 @t2)) % 33.90/34.23 (step @p456 :rule nary_cong :premises (@p455 @p454 @p453) :args (@t55)) % 33.90/34.23 (step @p457 :rule cong :premises (@p456) :args (@t57)) % 33.90/34.23 (step @p458 :rule trans :premises (@p457 @p452)) % 33.90/34.23 (step @p459 :rule nary_cong :premises (@p458 @p441) :args (@t58)) % 33.90/34.23 (step @p460 :rule refl :args (@t59)) % 33.90/34.23 (step @p461 :rule cong :premises (@p460 @p459) :args (@t60)) % 33.90/34.23 (step @p462 :rule cong :premises (@p461) :args (@t62)) % 33.90/34.23 (step @p463 :rule eq_resolve :premises (@p21 @p462)) % 33.90/34.23 (step @p464 :rule instantiate :premises (@p463) :args ((@list @t213 @t211))) % 33.90/34.23 (step @p465 :rule cnf_equiv_pos1 :args (@t293)) % 33.90/34.23 (step @p466 :rule reordering :premises (@p465) :args ((or @t216 @t292 (not @t293)))) % 33.90/34.23 (step @p467 :rule chain_m_resolution :premises (@p466 @p226 @p464) :args (@t292 (@list false false) (@list @t214 @t293))) % 33.90/34.23 (step @p468 :rule cnf_or_pos :args (@t292)) % 33.90/34.23 (step @p469 :rule reordering :premises (@p468) :args ((or @t279 @t291 (not @t292)))) % 33.90/34.23 (step @p305 :rule instantiate :premises (@p296) :args (@t247)) % 33.90/34.23 (step @p470 :rule instantiate :premises (@p1) :args ((@list @t238))) % 33.90/34.23 (step @p471 :rule refl :args (@t294)) % 33.90/34.23 (step @p472 :rule bool-double-not-elim :args (@t295)) % 33.90/34.23 (step @p473 :rule refl :args (@t296)) % 33.90/34.23 (step @p474 :rule nary_cong :premises (@p232 @p473 @p472 @p471) :args ((or @t226 @t296 (not @t297) @t294))) % 33.90/34.23 (assume-push @p622 @t225) % 33.90/34.23 (assume-push @p623 @t291) % 33.90/34.23 (assume-push @p624 @t297) % 33.90/34.23 (assume-push @p625 @t297) % 33.90/34.23 (assume-push @p626 @t291) % 33.90/34.23 (assume-push @p627 @t225) % 33.90/34.23 (step @p481 :rule false_intro :premises (@p470)) % 33.90/34.23 (step @p482 :rule refl :args (@t248)) % 33.90/34.23 (step @p483 :rule symm :premises (@p623)) % 33.90/34.23 (step @p333 :rule refl :args (@t212)) % 33.90/34.23 (step @p484 :rule symm :premises (@p622)) % 33.90/34.23 (step @p485 :rule cong :premises (@p484 @p333) :args (@t249)) % 33.90/34.23 (step @p486 :rule trans :premises (@p485 @p483)) % 33.90/34.23 (step @p487 :rule cong :premises (@p486 @p482) :args (@t250)) % 33.90/34.23 (step @p488 :rule trans :premises (@p487 @p481)) % 33.90/34.23 (step @p489 :rule false_elim :premises (@p488)) % 33.90/34.23 (step-pop @p628 :rule scope :premises (@p489)) % 33.90/34.23 (step-pop @p629 :rule scope :premises (@p628)) % 33.90/34.23 (step-pop @p630 :rule scope :premises (@p629)) % 33.90/34.23 (step @p490 :rule process_scope :premises (@p630) :args (@t294)) % 33.90/34.23 (step @p494 :rule and_intro :premises (@p470 @p623 @p622)) % 33.90/34.23 (step @p495 :rule modus_ponens :premises (@p494 @p490)) % 33.90/34.23 (step-pop @p631 :rule scope :premises (@p495)) % 33.90/34.23 (step-pop @p632 :rule scope :premises (@p631)) % 33.90/34.23 (step-pop @p633 :rule scope :premises (@p632)) % 33.90/34.23 (step @p496 :rule process_scope :premises (@p633) :args (@t294)) % 33.90/34.23 (step @p500 :rule implies_elim :premises (@p496)) % 33.90/34.23 (step @p501 :rule cnf_and_neg :args (@t298)) % 33.90/34.23 (step @p502 :rule resolution :premises (@p501 @p500) :args (true @t298)) % 33.90/34.23 (step @p503 :rule eq_resolve :premises (@p502 @p474)) % 33.90/34.23 (step @p504 :rule reordering :premises (@p503) :args ((or @t226 @t296 @t294 @t295))) % 33.90/34.23 (step @p505 :rule chain_m_resolution :premises (@p504 @p470 @p310 @p305 @p469 @p467 @p293 @p440 @p275 @p422 @p421 @p255 @p229) :args (@t226 (@list true false false false false false false true true false true true) (@list @t295 @t250 @t251 @t291 @t292 @t222 @t253 @t227 @t228 @t264 @t217 @t232))) % 33.90/34.23 (step @p506 :rule bool-double-not-elim :args (@t225)) % 33.90/34.23 (step @p507 :rule nary_cong :premises (@p277 @p506) :args ((or @t227 (not @t226)))) % 33.90/34.23 (step @p508 :rule cnf_or_neg :args (@t227 0)) % 33.90/34.23 (step @p509 :rule eq_resolve :premises (@p508 @p507)) % 33.90/34.23 (step @p510 :rule reordering :premises (@p509) :args ((or @t225 @t227))) % 33.90/34.23 (step @p511 :rule chain_m_resolution :premises (@p510 @p505) :args (@t227 @t159 (@list @t225))) % 33.90/34.23 (step @p512 :rule chain_m_resolution :premises (@p275 @p422 @p511) :args (@t217 (@list true false) (@list @t228 @t227))) % 33.90/34.23 (step @p513 :rule eq-symm :args (@t96 @t74)) % 33.90/34.23 (step @p514 :rule cong :premises (@p513) :args (@t98)) % 33.90/34.23 (step @p515 :rule eq_resolve :premises (@p45 @p514)) % 33.90/34.23 (step @p516 :rule instantiate :premises (@p515) :args ((@list @t212))) % 33.90/34.23 (step @p517 :rule instantiate :premises (@p515) :args ((@list @t209))) % 33.90/34.23 (step @p518 :rule refl :args (@t301)) % 33.90/34.23 (step @p519 :rule refl :args (@t304)) % 33.90/34.23 (step @p520 :rule bool-double-not-elim :args (@t215)) % 33.90/34.23 (step @p521 :rule refl :args (@t216)) % 33.90/34.23 (step @p522 :rule nary_cong :premises (@p230 @p521 @p520 @p519 @p518) :args ((or @t218 @t216 (not @t231) @t304 @t301))) % 33.90/34.23 (assume-push @p634 @t214) % 33.90/34.23 (assume-push @p635 @t217) % 33.90/34.23 (assume-push @p636 @t303) % 33.90/34.23 (assume-push @p637 @t300) % 33.90/34.23 (assume-push @p638 @t231) % 33.90/34.23 (step @p528 :rule evaluate :args ((= false true))) % 33.90/34.23 (step @p529 :rule true_intro :premises (@p226)) % 33.90/34.23 (step @p357 :rule refl :args (@t209)) % 33.90/34.23 (step @p530 :rule cong :premises (@p635 @p357) :args (@t299)) % 33.90/34.23 (step @p531 :rule trans :premises (@p517 @p530)) % 33.90/34.23 (step @p333 :rule refl :args (@t212)) % 33.90/34.23 (step @p532 :rule cong :premises (@p635 @p333) :args (@t302)) % 33.90/34.23 (step @p533 :rule trans :premises (@p516 @p532)) % 33.90/34.23 (step @p534 :rule cong :premises (@p533 @p531) :args (@t215)) % 33.90/34.23 (step @p535 :rule false_intro :premises (@p228)) % 33.90/34.23 (step @p536 :rule symm :premises (@p535)) % 33.90/34.23 (step @p537 :rule trans :premises (@p536 @p534 @p529)) % 33.90/34.23 (step @p538 false :rule eq_resolve :premises (@p537 @p528)) % 33.90/34.23 (step-pop @p639 :rule scope :premises (@p538)) % 33.90/34.23 (step-pop @p640 :rule scope :premises (@p639)) % 33.90/34.23 (step-pop @p641 :rule scope :premises (@p640)) % 33.90/34.23 (step-pop @p642 :rule scope :premises (@p641)) % 33.90/34.23 (step-pop @p643 :rule scope :premises (@p642)) % 33.90/34.23 (step @p539 :rule process_scope :premises (@p643) :args (false)) % 33.90/34.23 (assume-push @p644 @t217) % 33.90/34.23 (assume-push @p645 @t214) % 33.90/34.23 (assume-push @p646 @t231) % 33.90/34.23 (assume-push @p647 @t303) % 33.90/34.23 (assume-push @p648 @t300) % 33.90/34.23 (step @p550 :rule and_intro :premises (@p226 @p644 @p516 @p517 @p228)) % 33.90/34.23 (step-pop @p649 :rule scope :premises (@p550)) % 33.90/34.23 (step-pop @p650 :rule scope :premises (@p649)) % 33.90/34.23 (step-pop @p651 :rule scope :premises (@p650)) % 33.90/34.23 (step-pop @p652 :rule scope :premises (@p651)) % 33.90/34.23 (step-pop @p653 :rule scope :premises (@p652)) % 33.90/34.23 (step @p551 :rule process_scope :premises (@p653) :args (@t305)) % 33.90/34.23 (step @p557 :rule implies_elim :premises (@p551)) % 33.90/34.23 (step @p558 :rule resolution :premises (@p557 @p539) :args (true @t305)) % 33.90/34.23 (step @p559 :rule not_and :premises (@p558)) % 33.90/34.23 (step @p560 :rule eq_resolve :premises (@p559 @p522)) % 33.90/34.23 (step @p561 false :rule chain_m_resolution :premises (@p560 @p517 @p516 @p512 @p228 @p226) :args (false (@list false false false true false) (@list @t300 @t303 @t217 @t215 @t214))) % 33.90/34.23 ) % 33.90/34.23 % SZS output end Proof % 33.90/34.23 % cvc5 exiting %------------------------------------------------------------------------------