%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU707^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:52:49 AM UTC 2026 % Result : Theorem 202.02s 202.50s % Output : Proof 202.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU707^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 12:48:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TH0 % 202.02/202.50 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 202.02/202.50 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 202.02/202.50 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 202.02/202.50 --- Run --ho-elim --full-saturate-quant at 18s... % 202.02/202.50 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 202.02/202.50 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 202.02/202.50 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 202.02/202.50 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 202.02/202.50 % SZS status Theorem % 202.02/202.50 % SZS output start Proof % 202.02/202.50 ( % 202.02/202.50 (declare-sort $$unsorted 0) % 202.02/202.50 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 202.02/202.50 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 202.02/202.50 (declare-const tptp.theeq Bool) % 202.02/202.50 (declare-const tptp.ifSingleton Bool) % 202.02/202.50 (declare-const tptp.singleton (-> $$unsorted Bool)) % 202.02/202.50 (declare-const tptp.iftrueProp1 Bool) % 202.02/202.50 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 202.02/202.50 (define tptp.if () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xz" $$unsorted))) (let ((_let_3 (@var "Xphi" Bool))) (let ((_let_4 (@var "Xx" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_3 _let_4 _let_1) (_ tptp.setunion (_ (_ tptp.dsetconstr _let_5) (lambda (@list _let_2) (or (and _let_3 (= _let_2 _let_4)) (and (not _let_3) (= _let_2 _let_1))))))))))))) % 202.02/202.50 (define @t1 () (@var "Xy" $$unsorted)) % 202.02/202.50 (define @t2 () (@var "Xz" $$unsorted)) % 202.02/202.50 (define @t3 () (@var "Xphi" Bool)) % 202.02/202.50 (define @t4 () (not @t3)) % 202.02/202.50 (define @t5 () (and @t4 (= @t2 @t1))) % 202.02/202.50 (define @t6 () (@var "Xx" $$unsorted)) % 202.02/202.50 (define @t7 () (and @t3 (= @t2 @t6))) % 202.02/202.50 (define @t8 () (or @t7 @t5)) % 202.02/202.50 (define @t9 () (@list @t2)) % 202.02/202.50 (define @t10 () (lambda @t9 @t8)) % 202.02/202.50 (define @t11 () (@var "A" $$unsorted)) % 202.02/202.50 (define @t12 () (_ tptp.dsetconstr @t11)) % 202.02/202.50 (define @t13 () (_ @t12 @t10)) % 202.02/202.50 (define @t14 () (_ tptp.in @t6)) % 202.02/202.50 (define @t15 () (=> @t3 (_ @t14 @t13))) % 202.02/202.50 (define @t16 () (_ (_ tptp.in @t1) @t11)) % 202.02/202.50 (define @t17 () (=> @t16 @t15)) % 202.02/202.50 (define @t18 () (@list @t1)) % 202.02/202.50 (define @t19 () (forall @t18 @t17)) % 202.02/202.50 (define @t20 () (_ @t14 @t11)) % 202.02/202.50 (define @t21 () (=> @t20 @t19)) % 202.02/202.50 (define @t22 () (@list @t11 @t3 @t6)) % 202.02/202.50 (define @t23 () (forall @t22 @t21)) % 202.02/202.50 (define @t24 () (= tptp.iftrueProp1 @t23)) % 202.02/202.50 (define @t25 () (=> @t16 (_ tptp.singleton @t13))) % 202.02/202.50 (define @t26 () (forall @t18 @t25)) % 202.02/202.50 (define @t27 () (=> @t20 @t26)) % 202.02/202.50 (define @t28 () (forall @t22 @t27)) % 202.02/202.50 (define @t29 () (= tptp.ifSingleton @t28)) % 202.02/202.50 (define @t30 () (@var "X" $$unsorted)) % 202.02/202.50 (define @t31 () (_ tptp.setunion @t30)) % 202.02/202.50 (define @t32 () (_ @t14 @t30)) % 202.02/202.50 (define @t33 () (=> @t32 (= @t31 @t6))) % 202.02/202.50 (define @t34 () (@list @t6)) % 202.02/202.50 (define @t35 () (forall @t34 @t33)) % 202.02/202.50 (define @t36 () (_ tptp.singleton @t30)) % 202.02/202.50 (define @t37 () (=> @t36 @t35)) % 202.02/202.50 (define @t38 () (@list @t30)) % 202.02/202.50 (define @t39 () (forall @t38 @t37)) % 202.02/202.50 (define @t40 () (= tptp.theeq @t39)) % 202.02/202.50 (define @t41 () (= (_ (_ (_ (_ tptp.if @t11) @t3) @t6) @t1) @t6)) % 202.02/202.50 (define @t42 () (=> @t3 @t41)) % 202.02/202.50 (define @t43 () (=> @t16 @t42)) % 202.02/202.50 (define @t44 () (forall @t18 @t43)) % 202.02/202.50 (define @t45 () (=> @t20 @t44)) % 202.02/202.50 (define @t46 () (forall @t22 @t45)) % 202.02/202.50 (define @t47 () (=> tptp.theeq @t46)) % 202.02/202.50 (define @t48 () (=> tptp.ifSingleton @t47)) % 202.02/202.50 (define @t49 () (=> tptp.iftrueProp1 @t48)) % 202.02/202.50 (define @t50 () (not @t49)) % 202.02/202.50 (define @t51 () (@list @t11 @t3 @t6 @t1)) % 202.02/202.50 (define @t52 () (lambda @t51 (_ tptp.setunion @t13))) % 202.02/202.50 (define @t53 () (= @t6 @t2)) % 202.02/202.50 (define @t54 () (tptp.dsetconstr @t11 (lambda @t9 @t53))) % 202.02/202.50 (define @t55 () (= @t6 (tptp.setunion @t54))) % 202.02/202.50 (define @t56 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 202.02/202.50 (define @t57 () (not (tptp.in @t56 @t11))) % 202.02/202.50 (define @t58 () (tptp.in @t6 @t11)) % 202.02/202.50 (define @t59 () (not @t58)) % 202.02/202.50 (define @t60 () (or @t59 @t57 @t55)) % 202.02/202.50 (define @t61 () (@list @t11 @t6 @t56)) % 202.02/202.50 (define @t62 () (forall @t61 @t60)) % 202.02/202.50 (define @t63 () (@var "BOUND_VARIABLE_7641" $$unsorted)) % 202.02/202.50 (define @t64 () (tptp.setunion @t30)) % 202.02/202.50 (define @t65 () (not (tptp.in @t63 @t30))) % 202.02/202.50 (define @t66 () (tptp.singleton @t30)) % 202.02/202.50 (define @t67 () (not @t66)) % 202.02/202.50 (define @t68 () (= @t63 @t64)) % 202.02/202.50 (define @t69 () (or @t67 @t65 @t68)) % 202.02/202.50 (define @t70 () (or @t65 @t68)) % 202.02/202.50 (define @t71 () (or @t67 @t70)) % 202.02/202.50 (define @t72 () (@list @t30 @t63)) % 202.02/202.50 (define @t73 () (forall @t72 @t71)) % 202.02/202.50 (define @t74 () (@list @t63)) % 202.02/202.50 (define @t75 () (forall @t74 @t71)) % 202.02/202.50 (define @t76 () (forall @t74 @t70)) % 202.02/202.50 (define @t77 () (or @t67 @t76)) % 202.02/202.50 (define @t78 () (tptp.in @t6 @t30)) % 202.02/202.50 (define @t79 () (forall @t34 (or (not @t78) (= @t6 @t64)))) % 202.02/202.50 (define @t80 () (not @t36)) % 202.02/202.50 (define @t81 () (or @t80 @t79)) % 202.02/202.50 (define @t82 () (= @t6 @t31)) % 202.02/202.50 (define @t83 () (not @t32)) % 202.02/202.50 (define @t84 () (or @t83 @t82)) % 202.02/202.50 (define @t85 () (=> tptp.theeq @t62)) % 202.02/202.50 (define @t86 () (@var "BOUND_VARIABLE_7588" $$unsorted)) % 202.02/202.50 (define @t87 () (and @t4 (= @t86 @t2))) % 202.02/202.50 (define @t88 () (and @t3 @t53)) % 202.02/202.50 (define @t89 () (or @t88 @t87)) % 202.02/202.50 (define @t90 () (lambda @t9 @t89)) % 202.02/202.50 (define @t91 () (tptp.dsetconstr @t11 @t90)) % 202.02/202.50 (define @t92 () (tptp.singleton @t91)) % 202.02/202.50 (define @t93 () (not (tptp.in @t86 @t11))) % 202.02/202.50 (define @t94 () (or @t59 @t93 @t92)) % 202.02/202.50 (define @t95 () (or @t93 @t92)) % 202.02/202.50 (define @t96 () (or @t59 @t95)) % 202.02/202.50 (define @t97 () (@list @t11 @t3 @t6 @t86)) % 202.02/202.50 (define @t98 () (forall @t97 @t96)) % 202.02/202.50 (define @t99 () (@list @t86)) % 202.02/202.50 (define @t100 () (forall @t99 @t96)) % 202.02/202.50 (define @t101 () (forall @t99 @t95)) % 202.02/202.50 (define @t102 () (@list @t1)) % 202.02/202.50 (define @t103 () (or @t59 @t101)) % 202.02/202.50 (define @t104 () (lambda @t9 (or @t88 (and @t4 (= @t1 @t2))))) % 202.02/202.50 (define @t105 () (tptp.dsetconstr @t11 @t104)) % 202.02/202.50 (define @t106 () (tptp.singleton @t105)) % 202.02/202.50 (define @t107 () (tptp.in @t1 @t11)) % 202.02/202.50 (define @t108 () (not @t107)) % 202.02/202.50 (define @t109 () (forall @t18 (or @t108 @t106))) % 202.02/202.50 (define @t110 () (not @t20)) % 202.02/202.50 (define @t111 () (or @t110 @t109)) % 202.02/202.50 (define @t112 () (_ @t12 @t104)) % 202.02/202.50 (define @t113 () (_ tptp.singleton @t112)) % 202.02/202.50 (define @t114 () (not @t16)) % 202.02/202.50 (define @t115 () (or @t114 @t113)) % 202.02/202.50 (define @t116 () (=> tptp.ifSingleton @t85)) % 202.02/202.50 (define @t117 () (tptp.in @t6 @t54)) % 202.02/202.50 (define @t118 () (@var "BOUND_VARIABLE_7531" $$unsorted)) % 202.02/202.50 (define @t119 () (not (tptp.in @t118 @t11))) % 202.02/202.50 (define @t120 () (or @t59 @t119 @t117)) % 202.02/202.50 (define @t121 () (= @t2 @t118)) % 202.02/202.50 (define @t122 () (not true)) % 202.02/202.50 (define @t123 () (and @t122 @t121)) % 202.02/202.50 (define @t124 () (and true @t53)) % 202.02/202.50 (define @t125 () (or @t124 @t123)) % 202.02/202.50 (define @t126 () (lambda @t9 @t125)) % 202.02/202.50 (define @t127 () (tptp.dsetconstr @t11 @t126)) % 202.02/202.50 (define @t128 () (tptp.in @t6 @t127)) % 202.02/202.50 (define @t129 () (or @t59 @t122 @t119 @t128)) % 202.02/202.50 (define @t130 () (@list @t11 @t6 @t118)) % 202.02/202.50 (define @t131 () (tptp.in @t6 (tptp.dsetconstr @t11 (lambda @t9 (or @t88 (and @t4 @t121)))))) % 202.02/202.50 (define @t132 () (not (= @t3 true))) % 202.02/202.50 (define @t133 () (@list @t3)) % 202.02/202.50 (define @t134 () (or @t4 @t59 @t4 @t119 @t131)) % 202.02/202.50 (define @t135 () (or @t59 @t4 @t119 @t131)) % 202.02/202.50 (define @t136 () (forall @t133 @t135)) % 202.02/202.50 (define @t137 () (forall @t130 @t136)) % 202.02/202.50 (define @t138 () (forall (@list @t11 @t6 @t118 @t3) @t135)) % 202.02/202.50 (define @t139 () (@list @t11 @t3 @t6 @t118)) % 202.02/202.50 (define @t140 () (and @t4 (= @t118 @t2))) % 202.02/202.50 (define @t141 () (or @t88 @t140)) % 202.02/202.50 (define @t142 () (lambda @t9 @t141)) % 202.02/202.50 (define @t143 () (tptp.dsetconstr @t11 @t142)) % 202.02/202.50 (define @t144 () (tptp.in @t6 @t143)) % 202.02/202.50 (define @t145 () (or @t59 @t4 @t119 @t144)) % 202.02/202.50 (define @t146 () (or @t119 @t144)) % 202.02/202.50 (define @t147 () (or @t59 @t4 @t146)) % 202.02/202.50 (define @t148 () (forall @t139 @t147)) % 202.02/202.50 (define @t149 () (@list @t118)) % 202.02/202.50 (define @t150 () (forall @t149 @t147)) % 202.02/202.50 (define @t151 () (forall @t149 @t146)) % 202.02/202.50 (define @t152 () (or @t59 @t4 @t151)) % 202.02/202.50 (define @t153 () (tptp.in @t6 @t105)) % 202.02/202.50 (define @t154 () (forall @t18 (or @t108 @t153))) % 202.02/202.50 (define @t155 () (or @t110 @t4 @t154)) % 202.02/202.50 (define @t156 () (or @t4 @t154)) % 202.02/202.50 (define @t157 () (_ @t14 @t112)) % 202.02/202.50 (define @t158 () (or @t114 @t157)) % 202.02/202.50 (define @t159 () (forall @t18 @t158)) % 202.02/202.50 (define @t160 () (or @t4 @t159)) % 202.02/202.50 (define @t161 () (or @t4 @t158)) % 202.02/202.50 (define @t162 () (or @t114 @t4 @t157)) % 202.02/202.50 (define @t163 () (=> @t3 @t157)) % 202.02/202.50 (define @t164 () (=> tptp.iftrueProp1 @t116)) % 202.02/202.50 (define @t165 () (= @t2 @t56)) % 202.02/202.50 (define @t166 () (and @t122 @t165)) % 202.02/202.50 (define @t167 () (or @t124 @t166)) % 202.02/202.50 (define @t168 () (lambda @t9 @t167)) % 202.02/202.50 (define @t169 () (tptp.dsetconstr @t11 @t168)) % 202.02/202.50 (define @t170 () (tptp.setunion @t169)) % 202.02/202.50 (define @t171 () (= @t6 @t170)) % 202.02/202.50 (define @t172 () (or @t59 @t122 @t57 @t171)) % 202.02/202.50 (define @t173 () (= @t6 (tptp.setunion (tptp.dsetconstr @t11 (lambda @t9 (or @t88 (and @t4 @t165))))))) % 202.02/202.50 (define @t174 () (or @t4 @t59 @t4 @t57 @t173)) % 202.02/202.50 (define @t175 () (or @t59 @t4 @t57 @t173)) % 202.02/202.50 (define @t176 () (forall @t133 @t175)) % 202.02/202.50 (define @t177 () (forall @t61 @t176)) % 202.02/202.50 (define @t178 () (forall (@list @t11 @t6 @t56 @t3) @t175)) % 202.02/202.50 (define @t179 () (@list @t11 @t3 @t6 @t56)) % 202.02/202.50 (define @t180 () (and @t4 (= @t56 @t2))) % 202.02/202.50 (define @t181 () (or @t88 @t180)) % 202.02/202.50 (define @t182 () (lambda @t9 @t181)) % 202.02/202.50 (define @t183 () (tptp.dsetconstr @t11 @t182)) % 202.02/202.50 (define @t184 () (tptp.setunion @t183)) % 202.02/202.50 (define @t185 () (= @t6 @t184)) % 202.02/202.50 (define @t186 () (or @t59 @t4 @t57 @t185)) % 202.02/202.50 (define @t187 () (or @t57 @t185)) % 202.02/202.50 (define @t188 () (or @t59 @t4 @t187)) % 202.02/202.50 (define @t189 () (forall @t179 @t188)) % 202.02/202.50 (define @t190 () (@list @t56)) % 202.02/202.50 (define @t191 () (forall @t190 @t188)) % 202.02/202.50 (define @t192 () (forall @t190 @t187)) % 202.02/202.50 (define @t193 () (or @t59 @t4 @t192)) % 202.02/202.50 (define @t194 () (tptp.setunion @t105)) % 202.02/202.50 (define @t195 () (forall @t18 (or @t108 (= @t6 @t194)))) % 202.02/202.50 (define @t196 () (or @t110 @t4 @t195)) % 202.02/202.50 (define @t197 () (or @t4 @t195)) % 202.02/202.50 (define @t198 () (_ tptp.setunion @t112)) % 202.02/202.50 (define @t199 () (= @t6 @t198)) % 202.02/202.50 (define @t200 () (or @t114 @t199)) % 202.02/202.50 (define @t201 () (forall @t18 @t200)) % 202.02/202.50 (define @t202 () (or @t4 @t201)) % 202.02/202.50 (define @t203 () (or @t4 @t200)) % 202.02/202.50 (define @t204 () (or @t114 @t4 @t199)) % 202.02/202.50 (define @t205 () (=> @t3 @t199)) % 202.02/202.50 (define @t206 () (lambda @t18 @t198)) % 202.02/202.50 (define @t207 () (lambda (@list @t6 @t1) @t198)) % 202.02/202.50 (define @t208 () (lambda (@list @t3 @t6 @t1) @t198)) % 202.02/202.50 (define @t209 () (_ (lambda @t51 @t198) @t11)) % 202.02/202.50 (define @t210 () (= (_ (_ (_ @t209 @t3) @t6) @t1) @t6)) % 202.02/202.50 (define @t211 () (=> @t3 @t210)) % 202.02/202.50 (define @t212 () (=> @t16 @t211)) % 202.02/202.50 (define @t213 () (forall @t18 @t212)) % 202.02/202.50 (define @t214 () (=> @t20 @t213)) % 202.02/202.50 (define @t215 () (forall @t22 @t214)) % 202.02/202.50 (define @t216 () (=> tptp.theeq @t215)) % 202.02/202.50 (define @t217 () (=> tptp.ifSingleton @t216)) % 202.02/202.50 (define @t218 () (=> tptp.iftrueProp1 @t217)) % 202.02/202.50 (define @t219 () (@quantifiers_skolemize @t62 1)) % 202.02/202.50 (define @t220 () (= @t2 @t219)) % 202.02/202.50 (define @t221 () (lambda @t9 @t220)) % 202.02/202.50 (define @t222 () (@purify @t221)) % 202.02/202.50 (define @t223 () (@quantifiers_skolemize @t62 0)) % 202.02/202.50 (define @t224 () (tptp.dsetconstr @t223 @t221)) % 202.02/202.50 (define @t225 () (tptp.singleton @t224)) % 202.02/202.50 (define @t226 () (tptp.in @t219 @t223)) % 202.02/202.50 (define @t227 () (not @t226)) % 202.02/202.50 (define @t228 () (or @t227 @t227 @t225)) % 202.02/202.50 (define @t229 () (forall @t97 (or @t59 @t93 (tptp.singleton (tptp.dsetconstr @t11 (lambda @t9 (or @t88 (and @t4 (= @t2 @t86))))))))) % 202.02/202.50 (define @t230 () (not false)) % 202.02/202.50 (define @t231 () (and @t230 @t220)) % 202.02/202.50 (define @t232 () (= @t219 @t2)) % 202.02/202.50 (define @t233 () (and false @t232)) % 202.02/202.50 (define @t234 () (or @t233 @t231)) % 202.02/202.50 (define @t235 () (lambda @t9 @t234)) % 202.02/202.50 (define @t236 () (tptp.dsetconstr @t223 @t235)) % 202.02/202.50 (define @t237 () (tptp.singleton @t236)) % 202.02/202.50 (define @t238 () (or @t227 @t227 @t237)) % 202.02/202.50 (define @t239 () (tptp.dsetconstr @t223 @t222)) % 202.02/202.50 (define @t240 () (tptp.singleton @t239)) % 202.02/202.50 (define @t241 () (or @t227 @t227 @t240)) % 202.02/202.50 (define @t242 () (@list false)) % 202.02/202.50 (define @t243 () (tptp.setunion @t239)) % 202.02/202.50 (define @t244 () (= @t219 @t243)) % 202.02/202.50 (define @t245 () (not (tptp.in (@quantifiers_skolemize @t62 2) @t223))) % 202.02/202.50 (define @t246 () (or @t227 @t245 @t244)) % 202.02/202.50 (define @t247 () (not @t246)) % 202.02/202.50 (define @t248 () (not @t62)) % 202.02/202.50 (define @t249 () (tptp.setunion @t224)) % 202.02/202.50 (define @t250 () (= @t219 @t249)) % 202.02/202.50 (define @t251 () (or @t227 @t245 @t250)) % 202.02/202.50 (define @t252 () (not @t251)) % 202.02/202.50 (define @t253 () (lambda @t9 @t232)) % 202.02/202.50 (define @t254 () (tptp.dsetconstr @t223 @t253)) % 202.02/202.50 (define @t255 () (tptp.setunion @t254)) % 202.02/202.50 (define @t256 () (= @t219 @t255)) % 202.02/202.50 (define @t257 () (or @t227 @t245 @t256)) % 202.02/202.50 (define @t258 () (not @t257)) % 202.02/202.50 (define @t259 () (@list true)) % 202.02/202.50 (define @t260 () (@list @t246)) % 202.02/202.50 (define @t261 () (@list false false)) % 202.02/202.50 (define @t262 () (tptp.in @t219 @t224)) % 202.02/202.50 (define @t263 () (or @t227 @t227 @t262)) % 202.02/202.50 (define @t264 () (forall @t130 @t120)) % 202.02/202.50 (define @t265 () (tptp.in @t219 @t254)) % 202.02/202.50 (define @t266 () (or @t227 @t227 @t265)) % 202.02/202.50 (define @t267 () (tptp.in @t219 @t239)) % 202.02/202.50 (define @t268 () (or @t227 @t227 @t267)) % 202.02/202.50 (define @t269 () (not @t267)) % 202.02/202.50 (define @t270 () (not @t240)) % 202.02/202.50 (define @t271 () (or @t270 @t269 @t244)) % 202.02/202.50 (define @t272 () (not @t271)) % 202.02/202.50 (define @t273 () (or @t270 @t269 (= @t243 @t219))) % 202.02/202.50 (define @t274 () (forall @t72 (or @t67 @t65 (= @t64 @t63)))) % 202.02/202.50 (assume @p1 @t24) % 202.02/202.50 (assume @p2 @t29) % 202.02/202.50 (assume @p3 @t40) % 202.02/202.50 (assume @p4 @t50) % 202.02/202.50 (assume @p5 true) % 202.02/202.50 (step @p6 (= tptp.if @t52) :rule refl :args (@t52)) % 202.02/202.50 (step @p7 :rule refl :args (@t62)) % 202.02/202.50 (step @p8 :rule eq-symm :args (@t63 @t64)) % 202.02/202.50 (step @p9 :rule refl :args (@t65)) % 202.02/202.50 (step @p10 :rule refl :args (@t67)) % 202.02/202.50 (step @p11 :rule nary_cong :premises (@p10 @p9 @p8) :args (@t69)) % 202.02/202.50 (step @p12 :rule aci_norm :args ((= @t71 @t69))) % 202.02/202.50 (step @p13 :rule trans :premises (@p12 @p11)) % 202.02/202.50 (step @p14 :rule cong :premises (@p13) :args (@t73)) % 202.02/202.50 (step @p15 :rule quant-merge-prenex :args ((= (forall @t38 @t75) @t73))) % 202.02/202.50 (step @p16 :rule alpha_equiv :args (@t76 (@list @t63) (@list @t6))) % 202.02/202.50 (step @p17 :rule refl :args (@t67)) % 202.02/202.50 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t77)) % 202.02/202.50 (step @p19 :rule quant-miniscope-or :args ((= @t75 @t77))) % 202.02/202.50 (step @p20 :rule trans :premises (@p19 @p18)) % 202.02/202.50 (step @p21 :rule symm :premises (@p20)) % 202.02/202.50 (step @p22 :rule cong :premises (@p21) :args ((forall @t38 (or @t67 @t79)))) % 202.02/202.50 (step @p23 :rule trans :premises (@p22 @p15)) % 202.02/202.50 (step @p24 :rule trans :premises (@p23 @p14)) % 202.02/202.50 (step @p25 :rule refl :args (@t79)) % 202.02/202.50 (step @p26 :rule refl :args (@t66)) % 202.02/202.50 (step @p27 :rule refl :args (@t36)) % 202.02/202.50 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t36 @t66))) % 202.02/202.50 (step @p29 :rule symm :premises (@p28)) % 202.02/202.50 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 202.02/202.50 (step @p31 :rule cong :premises (@p30) :args (@t80)) % 202.02/202.50 (step @p32 :rule nary_cong :premises (@p31 @p25) :args (@t81)) % 202.02/202.50 (step @p33 :rule cong :premises (@p32) :args ((forall @t38 @t81))) % 202.02/202.50 (step @p34 :rule trans :premises (@p33 @p24)) % 202.02/202.50 (step @p35 :rule bool-impl-elim :args (@t36 @t79)) % 202.02/202.50 (step @p36 :rule cong :premises (@p35) :args ((forall @t38 (=> @t36 @t79)))) % 202.02/202.50 (step @p37 :rule trans :premises (@p36 @p34)) % 202.02/202.50 (step @p38 :rule refl :args (@t64)) % 202.02/202.50 (step @p39 :rule refl :args (@t31)) % 202.02/202.50 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t31 @t64))) % 202.02/202.50 (step @p41 :rule symm :premises (@p40)) % 202.02/202.50 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 202.02/202.50 (step @p43 :rule refl :args (@t6)) % 202.02/202.50 (step @p44 :rule cong :premises (@p43 @p42) :args (@t82)) % 202.02/202.50 (step @p45 :rule refl :args (@t78)) % 202.02/202.50 (step @p46 :rule refl :args (@t32)) % 202.02/202.50 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t32 @t78))) % 202.02/202.50 (step @p48 :rule symm :premises (@p47)) % 202.02/202.50 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 202.02/202.50 (step @p50 :rule cong :premises (@p49) :args (@t83)) % 202.02/202.50 (step @p51 :rule nary_cong :premises (@p50 @p44) :args (@t84)) % 202.02/202.50 (step @p52 :rule cong :premises (@p51) :args ((forall @t34 @t84))) % 202.02/202.50 (step @p53 :rule bool-impl-elim :args (@t32 @t82)) % 202.02/202.50 (step @p54 :rule cong :premises (@p53) :args ((forall @t34 (=> @t32 @t82)))) % 202.02/202.50 (step @p55 :rule trans :premises (@p54 @p52)) % 202.02/202.50 (step @p56 :rule eq-symm :args (@t31 @t6)) % 202.02/202.50 (step @p57 :rule refl :args (@t32)) % 202.02/202.50 (step @p58 :rule cong :premises (@p57 @p56) :args (@t33)) % 202.02/202.50 (step @p59 :rule cong :premises (@p58) :args (@t35)) % 202.02/202.50 (step @p60 :rule trans :premises (@p59 @p55)) % 202.02/202.50 (step @p61 :rule refl :args (@t36)) % 202.02/202.50 (step @p62 :rule cong :premises (@p61 @p60) :args (@t37)) % 202.02/202.50 (step @p63 :rule cong :premises (@p62) :args (@t39)) % 202.02/202.50 (step @p64 :rule trans :premises (@p63 @p37)) % 202.02/202.50 (step @p65 :rule refl :args (tptp.theeq)) % 202.02/202.50 (step @p66 :rule cong :premises (@p65 @p64) :args (@t40)) % 202.02/202.50 (step @p67 :rule eq_resolve :premises (@p3 @p66)) % 202.02/202.50 (step @p68 :rule cong :premises (@p67 @p7) :args (@t85)) % 202.02/202.50 (step @p69 :rule eq-symm :args (@t86 @t2)) % 202.02/202.50 (step @p70 :rule refl :args (@t4)) % 202.02/202.50 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t87)) % 202.02/202.50 (step @p72 :rule refl :args (@t88)) % 202.02/202.50 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t89)) % 202.02/202.50 (step @p74 :rule cong :premises (@p73) :args (@t90)) % 202.02/202.50 (step @p75 :rule refl :args (@t11)) % 202.02/202.50 (step @p76 :rule cong :premises (@p75 @p74) :args (@t91)) % 202.02/202.50 (step @p77 :rule cong :premises (@p76) :args (@t92)) % 202.02/202.50 (step @p78 :rule refl :args (@t93)) % 202.02/202.50 (step @p79 :rule refl :args (@t59)) % 202.02/202.50 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t94)) % 202.02/202.50 (step @p81 :rule aci_norm :args ((= @t96 @t94))) % 202.02/202.50 (step @p82 :rule trans :premises (@p81 @p80)) % 202.02/202.50 (step @p83 :rule cong :premises (@p82) :args (@t98)) % 202.02/202.50 (step @p84 :rule quant-merge-prenex :args ((= (forall @t22 @t100) @t98))) % 202.02/202.50 (step @p85 :rule alpha_equiv :args (@t101 (@list @t86) @t102)) % 202.02/202.50 (step @p86 :rule refl :args (@t59)) % 202.02/202.50 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t103)) % 202.02/202.50 (step @p88 :rule quant-miniscope-or :args ((= @t100 @t103))) % 202.02/202.50 (step @p89 :rule trans :premises (@p88 @p87)) % 202.02/202.50 (step @p90 :rule symm :premises (@p89)) % 202.02/202.50 (step @p91 :rule cong :premises (@p90) :args ((forall @t22 (or @t59 @t109)))) % 202.02/202.50 (step @p92 :rule trans :premises (@p91 @p84)) % 202.02/202.50 (step @p93 :rule trans :premises (@p92 @p83)) % 202.02/202.50 (step @p94 :rule refl :args (@t109)) % 202.02/202.50 (step @p95 :rule refl :args (@t58)) % 202.02/202.50 (step @p96 :rule refl :args (@t20)) % 202.02/202.50 (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t20 @t58))) % 202.02/202.50 (step @p98 :rule symm :premises (@p97)) % 202.02/202.50 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 202.02/202.50 (step @p100 :rule cong :premises (@p99) :args (@t110)) % 202.02/202.50 (step @p101 :rule nary_cong :premises (@p100 @p94) :args (@t111)) % 202.02/202.50 (step @p102 :rule cong :premises (@p101) :args ((forall @t22 @t111))) % 202.02/202.50 (step @p103 :rule trans :premises (@p102 @p93)) % 202.02/202.50 (step @p104 :rule bool-impl-elim :args (@t20 @t109)) % 202.02/202.50 (step @p105 :rule cong :premises (@p104) :args ((forall @t22 (=> @t20 @t109)))) % 202.02/202.50 (step @p106 :rule trans :premises (@p105 @p103)) % 202.02/202.50 (step @p107 :rule refl :args ((tptp.singleton @t112))) % 202.02/202.50 (step @p108 :rule refl :args (@t105)) % 202.02/202.50 (step @p109 :rule cong :premises (@p108) :args (@t106)) % 202.02/202.50 (step @p110 :rule trans :premises (@p109 @p107)) % 202.02/202.50 (step @p111 :rule refl :args (tptp.singleton)) % 202.02/202.50 (step @p112 :rule ho_cong :premises (@p111 @p108)) % 202.02/202.50 (step @p113 :rule cong :premises (@p112 @p110) :args ((= (_ tptp.singleton @t105) @t106))) % 202.02/202.50 (step @p114 :rule symm :premises (@p113)) % 202.02/202.50 (step @p115 :rule refl :args (@t113)) % 202.02/202.50 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 202.02/202.50 (step @p117 :rule refl :args (@t112)) % 202.02/202.50 (step @p118 :rule cong :premises (@p117 @p108) :args ((= @t112 @t105))) % 202.02/202.50 (step @p119 :rule symm :premises (@p118)) % 202.02/202.50 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 202.02/202.50 (step @p121 :rule ho_cong :premises (@p111 @p120)) % 202.02/202.50 (step @p122 :rule trans :premises (@p121 @p116)) % 202.02/202.50 (step @p123 :rule refl :args (@t107)) % 202.02/202.50 (step @p124 :rule refl :args (@t16)) % 202.02/202.50 (step @p125 :rule cong :premises (@p124 @p123) :args ((= @t16 @t107))) % 202.02/202.50 (step @p126 :rule symm :premises (@p125)) % 202.02/202.50 (step @p127 :rule eq_resolve :premises (@p124 @p126)) % 202.02/202.50 (step @p128 :rule cong :premises (@p127) :args (@t114)) % 202.02/202.50 (step @p129 :rule nary_cong :premises (@p128 @p122) :args (@t115)) % 202.02/202.50 (step @p130 :rule cong :premises (@p129) :args ((forall @t18 @t115))) % 202.02/202.50 (step @p131 :rule bool-impl-elim :args (@t16 @t113)) % 202.02/202.50 (step @p132 :rule cong :premises (@p131) :args ((forall @t18 (=> @t16 @t113)))) % 202.02/202.50 (step @p133 :rule trans :premises (@p132 @p130)) % 202.02/202.50 (step @p134 :rule eq-symm :args (@t2 @t1)) % 202.02/202.50 (step @p135 :rule nary_cong :premises (@p70 @p134) :args (@t5)) % 202.02/202.50 (step @p136 :rule eq-symm :args (@t2 @t6)) % 202.02/202.50 (step @p137 :rule refl :args (@t3)) % 202.02/202.50 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t7)) % 202.02/202.50 (step @p139 :rule nary_cong :premises (@p138 @p135) :args (@t8)) % 202.02/202.50 (step @p140 :rule cong :premises (@p139) :args (@t10)) % 202.02/202.50 (step @p141 :rule refl :args (@t12)) % 202.02/202.50 (step @p142 :rule ho_cong :premises (@p141 @p140)) % 202.02/202.50 (step @p143 :rule refl :args (tptp.singleton)) % 202.02/202.50 (step @p144 :rule ho_cong :premises (@p143 @p142)) % 202.02/202.50 (step @p145 :rule refl :args (@t16)) % 202.02/202.50 (step @p146 :rule cong :premises (@p145 @p144) :args (@t25)) % 202.02/202.50 (step @p147 :rule cong :premises (@p146) :args (@t26)) % 202.02/202.50 (step @p148 :rule trans :premises (@p147 @p133)) % 202.02/202.50 (step @p149 :rule refl :args (@t20)) % 202.02/202.50 (step @p150 :rule cong :premises (@p149 @p148) :args (@t27)) % 202.02/202.50 (step @p151 :rule cong :premises (@p150) :args (@t28)) % 202.02/202.50 (step @p152 :rule trans :premises (@p151 @p106)) % 202.02/202.50 (step @p153 :rule refl :args (tptp.ifSingleton)) % 202.02/202.50 (step @p154 :rule cong :premises (@p153 @p152) :args (@t29)) % 202.02/202.50 (step @p155 :rule eq_resolve :premises (@p2 @p154)) % 202.02/202.50 (step @p156 :rule cong :premises (@p155 @p68) :args (@t116)) % 202.02/202.50 (step @p157 :rule aci_norm :args ((= (or @t59 false @t119 @t117) @t120))) % 202.02/202.50 (step @p158 :rule aci_norm :args ((= (or @t53 false) @t53))) % 202.02/202.50 (step @p159 :rule absorb :args ((= (and false @t121) false))) % 202.02/202.50 (step @p160 :rule refl :args (@t121)) % 202.02/202.50 (step @p161 :rule evaluate :args (@t122)) % 202.02/202.50 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t123)) % 202.02/202.50 (step @p163 :rule trans :premises (@p162 @p159)) % 202.02/202.50 (step @p164 :rule aci_norm :args ((= @t124 @t53))) % 202.02/202.50 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t125)) % 202.02/202.50 (step @p166 :rule trans :premises (@p165 @p158)) % 202.02/202.50 (step @p167 :rule cong :premises (@p166) :args (@t126)) % 202.02/202.50 (step @p168 :rule cong :premises (@p75 @p167) :args (@t127)) % 202.02/202.50 (step @p169 :rule refl :args (@t6)) % 202.02/202.50 (step @p170 :rule cong :premises (@p169 @p168) :args (@t128)) % 202.02/202.50 (step @p171 :rule refl :args (@t119)) % 202.02/202.50 (step @p172 :rule nary_cong :premises (@p79 @p161 @p171 @p170) :args (@t129)) % 202.02/202.50 (step @p173 :rule trans :premises (@p172 @p157)) % 202.02/202.50 (step @p174 :rule cong :premises (@p173) :args ((forall @t130 @t129))) % 202.02/202.50 (step @p175 :rule quant-var-elim-eq :args ((= (forall @t133 (or @t132 @t59 @t4 @t119 @t131)) @t129))) % 202.02/202.50 (step @p176 :rule refl :args (@t131)) % 202.02/202.50 (step @p177 :rule refl :args (@t119)) % 202.02/202.50 (step @p178 :rule refl :args (@t4)) % 202.02/202.50 (step @p179 :rule bool-eq-true :args (@t3)) % 202.02/202.50 (step @p180 :rule symm :premises (@p179)) % 202.02/202.50 (step @p181 :rule cong :premises (@p180) :args (@t4)) % 202.02/202.50 (step @p182 :rule nary_cong :premises (@p181 @p86 @p178 @p177 @p176) :args (@t134)) % 202.02/202.50 (step @p183 :rule aci_norm :args ((= @t135 @t134))) % 202.02/202.50 (step @p184 :rule trans :premises (@p183 @p182)) % 202.02/202.50 (step @p185 :rule cong :premises (@p184) :args (@t136)) % 202.02/202.50 (step @p186 :rule trans :premises (@p185 @p175)) % 202.02/202.50 (step @p187 :rule cong :premises (@p186) :args (@t137)) % 202.02/202.50 (step @p188 :rule quant-merge-prenex :args ((= @t137 @t138))) % 202.02/202.50 (step @p189 :rule symm :premises (@p188)) % 202.02/202.50 (step @p190 :rule quant_var_reordering :args ((= (forall @t139 @t135) @t138))) % 202.02/202.50 (step @p191 :rule trans :premises (@p190 @p189 @p187)) % 202.02/202.50 (step @p192 :rule trans :premises (@p191 @p174)) % 202.02/202.50 (step @p193 :rule eq-symm :args (@t118 @t2)) % 202.02/202.50 (step @p194 :rule nary_cong :premises (@p70 @p193) :args (@t140)) % 202.02/202.50 (step @p195 :rule nary_cong :premises (@p72 @p194) :args (@t141)) % 202.02/202.50 (step @p196 :rule cong :premises (@p195) :args (@t142)) % 202.02/202.50 (step @p197 :rule cong :premises (@p75 @p196) :args (@t143)) % 202.02/202.50 (step @p198 :rule cong :premises (@p169 @p197) :args (@t144)) % 202.02/202.50 (step @p199 :rule nary_cong :premises (@p79 @p70 @p171 @p198) :args (@t145)) % 202.02/202.50 (step @p200 :rule aci_norm :args ((= @t147 @t145))) % 202.02/202.50 (step @p201 :rule trans :premises (@p200 @p199)) % 202.02/202.50 (step @p202 :rule cong :premises (@p201) :args (@t148)) % 202.02/202.50 (step @p203 :rule trans :premises (@p202 @p192)) % 202.02/202.50 (step @p204 :rule quant-merge-prenex :args ((= (forall @t22 @t150) @t148))) % 202.02/202.50 (step @p205 :rule alpha_equiv :args (@t151 (@list @t118) @t102)) % 202.02/202.50 (step @p206 :rule nary_cong :premises (@p86 @p178 @p205) :args (@t152)) % 202.02/202.50 (step @p207 :rule quant-miniscope-or :args ((= @t150 @t152))) % 202.02/202.50 (step @p208 :rule trans :premises (@p207 @p206)) % 202.02/202.50 (step @p209 :rule symm :premises (@p208)) % 202.02/202.50 (step @p210 :rule cong :premises (@p209) :args ((forall @t22 (or @t59 @t4 @t154)))) % 202.02/202.50 (step @p211 :rule trans :premises (@p210 @p204)) % 202.02/202.50 (step @p212 :rule trans :premises (@p211 @p203)) % 202.02/202.50 (step @p213 :rule refl :args (@t154)) % 202.02/202.50 (step @p214 :rule nary_cong :premises (@p100 @p178 @p213) :args (@t155)) % 202.02/202.50 (step @p215 :rule cong :premises (@p214) :args ((forall @t22 @t155))) % 202.02/202.50 (step @p216 :rule trans :premises (@p215 @p212)) % 202.02/202.50 (step @p217 :rule aci_norm :args ((= (or @t110 @t156) @t155))) % 202.02/202.50 (step @p218 :rule bool-impl-elim :args (@t20 @t156)) % 202.02/202.50 (step @p219 :rule trans :premises (@p218 @p217)) % 202.02/202.50 (step @p220 :rule cong :premises (@p219) :args ((forall @t22 (=> @t20 @t156)))) % 202.02/202.50 (step @p221 :rule trans :premises (@p220 @p216)) % 202.02/202.50 (step @p222 :rule refl :args ((tptp.in @t6 @t112))) % 202.02/202.50 (step @p223 :rule 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202.02/202.50 (step-pop @p515 :rule scope :premises (@p429)) % 202.02/202.50 (step @p430 :rule process_scope :premises (@p515) :args (@t238)) % 202.02/202.50 (step @p432 :rule eq_resolve :premises (@p430 @p427)) % 202.02/202.50 (step @p433 :rule eq_resolve :premises (@p432 @p413)) % 202.02/202.50 (step @p434 :rule implies_elim :premises (@p433)) % 202.02/202.50 (step @p435 :rule chain_m_resolution :premises (@p434 @p400) :args (@t241 @t242 (@list @t229))) % 202.02/202.50 (step @p436 :rule not_implies_elim2 :premises (@p398)) % 202.02/202.50 (step @p437 :rule refl :args (@t247)) % 202.02/202.50 (step @p438 :rule bool-double-not-elim :args (@t62)) % 202.02/202.50 (step @p439 :rule nary_cong :premises (@p438 @p437) :args ((or (not @t248) @t247))) % 202.02/202.50 (step @p440 :rule cong :premises (@p408) :args (@t249)) % 202.02/202.50 (step @p441 :rule refl :args (@t219)) % 202.02/202.50 (step @p442 :rule cong :premises (@p441 @p440) :args (@t250)) % 202.02/202.50 (step @p443 :rule refl :args (@t245)) % 202.02/202.50 (step @p444 :rule nary_cong :premises (@p410 @p443 @p442) :args (@t251)) % 202.02/202.50 (step @p445 :rule cong :premises (@p444) :args (@t252)) % 202.02/202.50 (step @p446 :rule refl :args (@t248)) % 202.02/202.50 (step @p447 :rule cong :premises (@p446 @p445) :args ((=> @t248 @t252))) % 202.02/202.50 (step @p448 :rule eq-symm :args (@t219 @t2)) % 202.02/202.50 (step @p449 :rule cong :premises (@p448) :args (@t253)) % 202.02/202.50 (step @p450 :rule cong :premises (@p407 @p449) :args (@t254)) % 202.02/202.50 (step @p451 :rule cong :premises (@p450) :args (@t255)) % 202.02/202.50 (step @p452 :rule cong :premises (@p441 @p451) :args (@t256)) % 202.02/202.50 (step @p453 :rule nary_cong :premises (@p410 @p443 @p452) :args (@t257)) % 202.02/202.50 (step @p454 :rule cong :premises (@p453) :args (@t258)) % 202.02/202.50 (step @p455 :rule cong :premises (@p446 @p454) :args ((=> @t248 @t258))) % 202.02/202.50 (step @p456 :rule trans :premises (@p455 @p447)) % 202.02/202.50 (assume-push @p516 @t248) % 202.02/202.50 (step @p458 :rule skolemize :premises (@p436)) % 202.02/202.50 (step-pop @p517 :rule scope :premises (@p458)) % 202.02/202.50 (step @p459 :rule process_scope :premises (@p517) :args (@t258)) % 202.02/202.50 (step @p461 :rule eq_resolve :premises (@p459 @p456)) % 202.02/202.50 (step @p462 :rule implies_elim :premises (@p461)) % 202.02/202.50 (step @p463 :rule eq_resolve :premises (@p462 @p439)) % 202.02/202.50 (step @p464 :rule chain_m_resolution :premises (@p463 @p436) :args (@t247 @t259 (@list @t62))) % 202.02/202.50 (step @p465 :rule bool-double-not-elim :args (@t226)) % 202.02/202.50 (step @p466 :rule refl :args (@t246)) % 202.02/202.50 (step @p467 :rule nary_cong :premises (@p466 @p465) :args ((or @t246 (not @t227)))) % 202.02/202.50 (step @p468 :rule cnf_or_neg :args (@t246 0)) % 202.02/202.50 (step @p469 :rule eq_resolve :premises (@p468 @p467)) % 202.02/202.50 (step @p470 :rule reordering :premises (@p469) :args ((or @t226 @t246))) % 202.02/202.50 (step @p471 :rule chain_m_resolution :premises (@p470 @p464) :args (@t226 @t259 @t260)) % 202.02/202.50 (step @p472 :rule cnf_or_pos :args (@t241)) % 202.02/202.50 (step @p473 :rule factoring :premises (@p472)) % 202.02/202.50 (step @p474 :rule reordering :premises (@p473) :args ((or @t227 @t240 (not @t241)))) % 202.02/202.50 (step @p475 :rule chain_m_resolution :premises (@p474 @p471 @p435) :args (@t240 @t261 (@list @t226 @t241))) % 202.02/202.50 (step @p476 :rule not_implies_elim1 :premises (@p396)) % 202.02/202.50 (step @p477 :rule cong :premises (@p441 @p408) :args (@t262)) % 202.02/202.50 (step @p478 :rule nary_cong :premises (@p410 @p410 @p477) :args (@t263)) % 202.02/202.50 (step @p479 :rule refl :args (@t264)) % 202.02/202.50 (step @p480 :rule cong :premises (@p479 @p478) :args ((=> @t264 @t263))) % 202.02/202.50 (step @p481 :rule cong :premises (@p441 @p450) :args (@t265)) % 202.02/202.50 (step @p482 :rule nary_cong :premises (@p410 @p410 @p481) :args (@t266)) % 202.02/202.50 (step @p483 :rule cong :premises (@p479 @p482) :args ((=> @t264 @t266))) % 202.02/202.50 (assume-push @p518 @t264) % 202.02/202.50 (step @p485 :rule instantiate :premises (@p476) :args ((@list @t223 @t219 @t219))) % 202.02/202.50 (step-pop @p519 :rule scope :premises (@p485)) % 202.02/202.50 (step @p486 :rule process_scope :premises (@p519) :args (@t266)) % 202.02/202.50 (step @p488 :rule eq_resolve :premises (@p486 @p483)) % 202.02/202.50 (step @p489 :rule eq_resolve :premises (@p488 @p480)) % 202.02/202.50 (step @p490 :rule implies_elim :premises (@p489)) % 202.02/202.50 (step @p491 :rule chain_m_resolution :premises (@p490 @p476) :args (@t268 @t242 (@list @t264))) % 202.02/202.50 (step @p492 :rule cnf_or_pos :args (@t268)) % 202.02/202.50 (step @p493 :rule factoring :premises (@p492)) % 202.02/202.50 (step @p494 :rule reordering :premises (@p493) :args ((or @t227 @t267 (not @t268)))) % 202.02/202.50 (step @p495 :rule chain_m_resolution :premises (@p494 @p471 @p491) :args (@t267 @t261 (@list @t226 @t268))) % 202.02/202.50 (step @p496 :rule cnf_or_neg :args (@t246 2)) % 202.02/202.50 (step @p497 :rule chain_m_resolution :premises (@p496 @p464) :args ((not @t244) @t259 @t260)) % 202.02/202.50 (step @p498 :rule cnf_or_pos :args (@t271)) % 202.02/202.50 (step @p499 :rule reordering :premises (@p498) :args ((or @t244 @t269 @t270 @t272))) % 202.02/202.50 (step @p500 :rule chain_m_resolution :premises (@p499 @p497 @p495 @p475) :args (@t272 (@list true false false) (@list @t244 @t267 @t240))) % 202.02/202.50 (step @p501 :rule eq-symm :args (@t243 @t219)) % 202.02/202.50 (step @p502 :rule refl :args (@t269)) % 202.02/202.50 (step @p503 :rule refl :args (@t270)) % 202.02/202.50 (step @p504 :rule nary_cong :premises (@p503 @p502 @p501) :args (@t273)) % 202.02/202.50 (step @p505 :rule refl :args (@t274)) % 202.02/202.50 (step @p506 :rule cong :premises (@p505 @p504) :args ((=> @t274 @t273))) % 202.02/202.50 (assume-push @p520 @t274) % 202.02/202.50 (step @p508 :rule instantiate :premises (@p399) :args ((@list @t239 @t219))) % 202.02/202.50 (step-pop @p521 :rule scope :premises (@p508)) % 202.02/202.50 (step @p509 :rule process_scope :premises (@p521) :args (@t273)) % 202.02/202.50 (step @p511 :rule eq_resolve :premises (@p509 @p506)) % 202.02/202.50 (step @p512 :rule implies_elim :premises (@p511)) % 202.02/202.50 (step @p513 false :rule chain_m_resolution :premises (@p512 @p500 @p399) :args (false (@list true false) (@list @t271 @t274))) % 202.02/202.50 ) % 202.02/202.50 % SZS output end Proof % 202.02/202.50 % cvc5 exiting %------------------------------------------------------------------------------