%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU709^2 : 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 : n011.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 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU709^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n011.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:47:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.iftrue Bool) % 0.38/0.61 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.iffalse Bool) % 0.38/0.61 (declare-const tptp.secondinupair Bool) % 0.38/0.61 (declare-const tptp.emptyset $$unsorted) % 0.38/0.61 (declare-const tptp.in__Cong Bool) % 0.38/0.61 (declare-const tptp.setadjoinIL Bool) % 0.38/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.61 (define @t3 () (_ tptp.setadjoin @t2)) % 0.38/0.61 (define @t4 () (_ @t3 @t1)) % 0.38/0.61 (define @t5 () (_ tptp.in @t2)) % 0.38/0.61 (define @t6 () (_ @t5 @t4)) % 0.38/0.61 (define @t7 () (@list @t2 @t1)) % 0.38/0.61 (define @t8 () (forall @t7 @t6)) % 0.38/0.61 (define @t9 () (= tptp.setadjoinIL @t8)) % 0.38/0.61 (define @t10 () (@var "B" $$unsorted)) % 0.38/0.61 (define @t11 () (_ tptp.in @t1)) % 0.38/0.61 (define @t12 () (_ @t11 @t10)) % 0.38/0.61 (define @t13 () (@var "A" $$unsorted)) % 0.38/0.61 (define @t14 () (_ @t5 @t13)) % 0.38/0.61 (define @t15 () (= @t14 @t12)) % 0.38/0.61 (define @t16 () (= @t2 @t1)) % 0.38/0.61 (define @t17 () (forall @t7 (=> @t16 @t15))) % 0.38/0.61 (define @t18 () (= @t13 @t10)) % 0.38/0.61 (define @t19 () (=> @t18 @t17)) % 0.38/0.61 (define @t20 () (@list @t13 @t10)) % 0.38/0.61 (define @t21 () (forall @t20 @t19)) % 0.38/0.61 (define @t22 () (= tptp.in__Cong @t21)) % 0.38/0.61 (define @t23 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.38/0.61 (define @t24 () (_ @t3 @t23)) % 0.38/0.61 (define @t25 () (_ @t11 @t24)) % 0.38/0.61 (define @t26 () (forall @t7 @t25)) % 0.38/0.61 (define @t27 () (= tptp.secondinupair @t26)) % 0.38/0.61 (define @t28 () (@var "Xphi" Bool)) % 0.38/0.61 (define @t29 () (_ (_ (_ (_ tptp.if @t13) @t28) @t2) @t1)) % 0.38/0.61 (define @t30 () (=> @t28 (= @t29 @t2))) % 0.38/0.61 (define @t31 () (_ @t11 @t13)) % 0.38/0.61 (define @t32 () (=> @t31 @t30)) % 0.38/0.61 (define @t33 () (@list @t1)) % 0.38/0.61 (define @t34 () (forall @t33 @t32)) % 0.38/0.61 (define @t35 () (=> @t14 @t34)) % 0.38/0.61 (define @t36 () (@list @t13 @t28 @t2)) % 0.38/0.61 (define @t37 () (forall @t36 @t35)) % 0.38/0.61 (define @t38 () (= tptp.iftrue @t37)) % 0.38/0.61 (define @t39 () (not @t28)) % 0.38/0.61 (define @t40 () (=> @t39 (= @t29 @t1))) % 0.38/0.61 (define @t41 () (=> @t31 @t40)) % 0.38/0.61 (define @t42 () (forall @t33 @t41)) % 0.38/0.61 (define @t43 () (=> @t14 @t42)) % 0.38/0.61 (define @t44 () (forall @t36 @t43)) % 0.38/0.61 (define @t45 () (= tptp.iffalse @t44)) % 0.38/0.61 (define @t46 () (_ (_ tptp.in @t29) @t24)) % 0.38/0.61 (define @t47 () (forall @t33 (=> @t31 @t46))) % 0.38/0.61 (define @t48 () (=> @t14 @t47)) % 0.38/0.61 (define @t49 () (forall @t36 @t48)) % 0.38/0.61 (define @t50 () (=> tptp.iffalse @t49)) % 0.38/0.61 (define @t51 () (=> tptp.iftrue @t50)) % 0.38/0.61 (define @t52 () (=> tptp.secondinupair @t51)) % 0.38/0.61 (define @t53 () (=> tptp.in__Cong @t52)) % 0.38/0.61 (define @t54 () (=> tptp.setadjoinIL @t53)) % 0.38/0.61 (define @t55 () (not @t54)) % 0.38/0.61 (define @t56 () (@var "BOUND_VARIABLE_7640" $$unsorted)) % 0.38/0.61 (define @t57 () (tptp.in (tptp.if @t13 @t28 @t2 @t56) (tptp.setadjoin @t2 (tptp.setadjoin @t56 tptp.emptyset)))) % 0.38/0.61 (define @t58 () (not (tptp.in @t56 @t13))) % 0.38/0.61 (define @t59 () (tptp.in @t2 @t13)) % 0.38/0.61 (define @t60 () (not @t59)) % 0.38/0.61 (define @t61 () (or @t60 @t58 @t57)) % 0.38/0.61 (define @t62 () (@list @t13 @t28 @t2 @t56)) % 0.38/0.61 (define @t63 () (forall @t62 @t61)) % 0.38/0.61 (define @t64 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 0.38/0.61 (define @t65 () (= @t64 (tptp.if @t13 false @t2 @t64))) % 0.38/0.61 (define @t66 () (not (tptp.in @t64 @t13))) % 0.38/0.61 (define @t67 () (or @t60 @t66 @t65)) % 0.38/0.61 (define @t68 () (@list @t13 @t2 @t64)) % 0.38/0.61 (define @t69 () (forall @t68 @t67)) % 0.38/0.61 (define @t70 () (@var "BOUND_VARIABLE_7564" $$unsorted)) % 0.38/0.61 (define @t71 () (= @t2 (tptp.if @t13 true @t2 @t70))) % 0.38/0.61 (define @t72 () (not (tptp.in @t70 @t13))) % 0.38/0.61 (define @t73 () (or @t60 @t72 @t71)) % 0.38/0.61 (define @t74 () (@list @t13 @t2 @t70)) % 0.38/0.61 (define @t75 () (forall @t74 @t73)) % 0.38/0.61 (define @t76 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.38/0.61 (define @t77 () (tptp.setadjoin @t2 @t76)) % 0.38/0.61 (define @t78 () (tptp.in @t1 @t77)) % 0.38/0.61 (define @t79 () (forall @t7 @t78)) % 0.38/0.61 (define @t80 () (=> @t79 (=> @t75 (=> @t69 @t63)))) % 0.38/0.61 (define @t81 () (tptp.setadjoin @t2 @t1)) % 0.38/0.61 (define @t82 () (tptp.in @t2 @t81)) % 0.38/0.61 (define @t83 () (forall @t7 @t82)) % 0.38/0.61 (define @t84 () (=> @t83 (=> true @t80))) % 0.38/0.61 (define @t85 () (or @t60 false @t66 @t65)) % 0.38/0.61 (define @t86 () (= @t64 (tptp.if @t13 @t28 @t2 @t64))) % 0.38/0.61 (define @t87 () (@list @t28)) % 0.38/0.61 (define @t88 () (not @t39)) % 0.38/0.61 (define @t89 () (or @t28 @t60 @t28 @t66 @t86)) % 0.38/0.61 (define @t90 () (or @t60 @t28 @t66 @t86)) % 0.38/0.61 (define @t91 () (forall @t87 @t90)) % 0.38/0.61 (define @t92 () (forall @t68 @t91)) % 0.38/0.61 (define @t93 () (forall (@list @t13 @t2 @t64 @t28) @t90)) % 0.38/0.61 (define @t94 () (@list @t13 @t28 @t2 @t64)) % 0.38/0.61 (define @t95 () (or @t66 @t86)) % 0.38/0.61 (define @t96 () (or @t60 @t28 @t95)) % 0.38/0.61 (define @t97 () (forall @t94 @t96)) % 0.38/0.61 (define @t98 () (@list @t64)) % 0.38/0.61 (define @t99 () (forall @t98 @t96)) % 0.38/0.61 (define @t100 () (forall @t98 @t95)) % 0.38/0.61 (define @t101 () (@list @t1)) % 0.38/0.61 (define @t102 () (or @t60 @t28 @t100)) % 0.38/0.61 (define @t103 () (tptp.if @t13 @t28 @t2 @t1)) % 0.38/0.61 (define @t104 () (tptp.in @t1 @t13)) % 0.38/0.61 (define @t105 () (not @t104)) % 0.38/0.61 (define @t106 () (forall @t33 (or @t105 (= @t1 @t103)))) % 0.38/0.61 (define @t107 () (not @t14)) % 0.38/0.61 (define @t108 () (or @t107 @t28 @t106)) % 0.38/0.61 (define @t109 () (or @t28 @t106)) % 0.38/0.61 (define @t110 () (= @t1 @t29)) % 0.38/0.61 (define @t111 () (not @t31)) % 0.38/0.61 (define @t112 () (or @t111 @t110)) % 0.38/0.61 (define @t113 () (forall @t33 @t112)) % 0.38/0.61 (define @t114 () (or @t28 @t113)) % 0.38/0.61 (define @t115 () (or @t28 @t112)) % 0.38/0.61 (define @t116 () (or @t111 @t28 @t110)) % 0.38/0.61 (define @t117 () (=> @t39 @t110)) % 0.38/0.61 (define @t118 () (=> tptp.iffalse @t63)) % 0.38/0.61 (define @t119 () (not true)) % 0.38/0.61 (define @t120 () (or @t60 @t119 @t72 @t71)) % 0.38/0.61 (define @t121 () (= @t2 (tptp.if @t13 @t28 @t2 @t70))) % 0.38/0.61 (define @t122 () (or @t39 @t60 @t39 @t72 @t121)) % 0.38/0.61 (define @t123 () (or @t60 @t39 @t72 @t121)) % 0.38/0.61 (define @t124 () (forall @t87 @t123)) % 0.38/0.61 (define @t125 () (forall @t74 @t124)) % 0.38/0.61 (define @t126 () (forall (@list @t13 @t2 @t70 @t28) @t123)) % 0.38/0.61 (define @t127 () (@list @t13 @t28 @t2 @t70)) % 0.38/0.61 (define @t128 () (or @t72 @t121)) % 0.38/0.61 (define @t129 () (or @t60 @t39 @t128)) % 0.38/0.61 (define @t130 () (forall @t127 @t129)) % 0.38/0.61 (define @t131 () (@list @t70)) % 0.38/0.61 (define @t132 () (forall @t131 @t129)) % 0.38/0.61 (define @t133 () (forall @t131 @t128)) % 0.38/0.61 (define @t134 () (or @t60 @t39 @t133)) % 0.38/0.61 (define @t135 () (forall @t33 (or @t105 (= @t2 @t103)))) % 0.38/0.61 (define @t136 () (or @t107 @t39 @t135)) % 0.38/0.61 (define @t137 () (or @t39 @t135)) % 0.38/0.61 (define @t138 () (= @t2 @t29)) % 0.38/0.61 (define @t139 () (or @t111 @t138)) % 0.38/0.61 (define @t140 () (forall @t33 @t139)) % 0.38/0.61 (define @t141 () (or @t39 @t140)) % 0.38/0.61 (define @t142 () (or @t39 @t139)) % 0.38/0.61 (define @t143 () (or @t111 @t39 @t138)) % 0.38/0.61 (define @t144 () (=> @t28 @t138)) % 0.38/0.61 (define @t145 () (=> tptp.iftrue @t118)) % 0.38/0.61 (define @t146 () (=> tptp.secondinupair @t145)) % 0.38/0.61 (define @t147 () (@var "BOUND_VARIABLE_7513" $$unsorted)) % 0.38/0.61 (define @t148 () (@list @t10 @t147)) % 0.38/0.61 (define @t149 () (tptp.in @t147 @t10)) % 0.38/0.61 (define @t150 () (not (= @t10 @t10))) % 0.38/0.61 (define @t151 () (or @t150 (= @t149 @t149))) % 0.38/0.61 (define @t152 () (= @t149 (tptp.in @t147 @t13))) % 0.38/0.61 (define @t153 () (not @t18)) % 0.38/0.61 (define @t154 () (or @t153 @t153 @t152)) % 0.38/0.61 (define @t155 () (@list @t13)) % 0.38/0.61 (define @t156 () (or @t153 @t152)) % 0.38/0.61 (define @t157 () (forall @t155 @t156)) % 0.38/0.61 (define @t158 () (forall @t148 @t157)) % 0.38/0.61 (define @t159 () (forall (@list @t10 @t147 @t13) @t156)) % 0.38/0.61 (define @t160 () (forall (@list @t13 @t10 @t147) @t156)) % 0.38/0.61 (define @t161 () (@list @t147)) % 0.38/0.61 (define @t162 () (forall @t161 @t156)) % 0.38/0.61 (define @t163 () (forall @t161 @t152)) % 0.38/0.61 (define @t164 () (or @t153 @t163)) % 0.38/0.61 (define @t165 () (tptp.in @t1 @t10)) % 0.38/0.61 (define @t166 () (= @t165 @t104)) % 0.38/0.61 (define @t167 () (forall @t33 @t166)) % 0.38/0.61 (define @t168 () (not (= @t1 @t1))) % 0.38/0.61 (define @t169 () (or @t168 (= @t104 @t165))) % 0.38/0.61 (define @t170 () (= @t59 @t165)) % 0.38/0.61 (define @t171 () (not @t16)) % 0.38/0.61 (define @t172 () (or @t171 @t171 @t170)) % 0.38/0.61 (define @t173 () (@list @t2)) % 0.38/0.61 (define @t174 () (or @t171 @t170)) % 0.38/0.61 (define @t175 () (forall @t173 @t174)) % 0.38/0.61 (define @t176 () (forall @t33 @t175)) % 0.38/0.61 (define @t177 () (forall (@list @t1 @t2) @t174)) % 0.38/0.61 (define @t178 () (or @t171 @t15)) % 0.38/0.61 (define @t179 () (=> tptp.in__Cong @t146)) % 0.38/0.61 (define @t180 () (=> tptp.setadjoinIL @t179)) % 0.38/0.61 (define @t181 () (or @t58 @t57)) % 0.38/0.61 (define @t182 () (or @t60 @t181)) % 0.38/0.61 (define @t183 () (forall @t62 @t182)) % 0.38/0.61 (define @t184 () (@list @t56)) % 0.38/0.61 (define @t185 () (forall @t184 @t182)) % 0.38/0.61 (define @t186 () (forall @t184 @t181)) % 0.38/0.61 (define @t187 () (or @t60 @t186)) % 0.38/0.61 (define @t188 () (tptp.in @t103 @t77)) % 0.38/0.61 (define @t189 () (forall @t33 (or @t105 @t188))) % 0.38/0.61 (define @t190 () (or @t107 @t189)) % 0.38/0.61 (define @t191 () (or @t111 @t46)) % 0.38/0.61 (define @t192 () (@quantifiers_skolemize @t63 3)) % 0.38/0.61 (define @t193 () (@quantifiers_skolemize @t63 2)) % 0.38/0.61 (define @t194 () (@purify false)) % 0.38/0.61 (define @t195 () (not @t194)) % 0.38/0.61 (define @t196 () (@quantifiers_skolemize @t63 0)) % 0.38/0.61 (define @t197 () (tptp.if @t196 false @t193 @t192)) % 0.38/0.61 (define @t198 () (= @t192 @t197)) % 0.38/0.61 (define @t199 () (tptp.in @t192 @t196)) % 0.38/0.61 (define @t200 () (not @t199)) % 0.38/0.61 (define @t201 () (tptp.in @t193 @t196)) % 0.38/0.61 (define @t202 () (not @t201)) % 0.38/0.61 (define @t203 () (or @t202 @t200 @t198)) % 0.38/0.61 (define @t204 () (@list @t196 @t193 @t192)) % 0.38/0.61 (define @t205 () (= @t192 (tptp.if @t196 @t194 @t193 @t192))) % 0.38/0.61 (define @t206 () (or @t202 @t200 @t205)) % 0.38/0.61 (define @t207 () (@list false)) % 0.38/0.61 (define @t208 () (tptp.setadjoin @t192 tptp.emptyset)) % 0.38/0.61 (define @t209 () (tptp.setadjoin @t193 @t208)) % 0.38/0.61 (define @t210 () (@quantifiers_skolemize @t63 1)) % 0.38/0.61 (define @t211 () (@purify @t210)) % 0.38/0.61 (define @t212 () (tptp.if @t196 @t211 @t193 @t192)) % 0.38/0.61 (define @t213 () (tptp.in @t212 @t209)) % 0.38/0.61 (define @t214 () (or @t202 @t200 @t213)) % 0.38/0.61 (define @t215 () (not @t214)) % 0.38/0.61 (define @t216 () (not @t63)) % 0.38/0.61 (define @t217 () (tptp.if @t196 @t210 @t193 @t192)) % 0.38/0.61 (define @t218 () (tptp.in @t217 @t209)) % 0.38/0.61 (define @t219 () (or @t202 @t200 @t218)) % 0.38/0.61 (define @t220 () (not @t219)) % 0.38/0.61 (define @t221 () (@list true)) % 0.38/0.61 (define @t222 () (@list @t214)) % 0.38/0.61 (define @t223 () (@list false false false)) % 0.38/0.61 (define @t224 () (not @t213)) % 0.38/0.61 (define @t225 () (@purify true)) % 0.38/0.61 (define @t226 () (tptp.if @t196 true @t193 @t192)) % 0.38/0.61 (define @t227 () (= @t193 @t226)) % 0.38/0.61 (define @t228 () (or @t202 @t200 @t227)) % 0.38/0.61 (define @t229 () (= @t193 (tptp.if @t196 @t225 @t193 @t192))) % 0.38/0.61 (define @t230 () (or @t202 @t200 @t229)) % 0.38/0.61 (define @t231 () (tptp.setadjoin @t212 @t208)) % 0.38/0.61 (define @t232 () (tptp.in @t212 @t231)) % 0.38/0.61 (define @t233 () (not @t232)) % 0.38/0.61 (define @t234 () (not @t229)) % 0.38/0.61 (define @t235 () (not @t225)) % 0.38/0.61 (define @t236 () (not @t211)) % 0.38/0.61 (define @t237 () (not @t224)) % 0.38/0.61 (define @t238 () (and @t224 @t229 @t225 @t211 @t232)) % 0.38/0.61 (define @t239 () (tptp.setadjoin @t212 tptp.emptyset)) % 0.38/0.61 (define @t240 () (tptp.setadjoin @t193 @t239)) % 0.38/0.61 (define @t241 () (tptp.in @t212 @t240)) % 0.38/0.61 (define @t242 () (not @t241)) % 0.38/0.61 (define @t243 () (not @t205)) % 0.38/0.61 (define @t244 () (and @t224 @t236 @t205 @t195)) % 0.38/0.61 (assume @p1 @t9) % 0.38/0.61 (assume @p2 @t22) % 0.38/0.61 (assume @p3 @t27) % 0.38/0.61 (assume @p4 @t38) % 0.38/0.61 (assume @p5 @t45) % 0.38/0.61 (assume @p6 @t55) % 0.38/0.61 (assume @p7 true) % 0.38/0.61 (step @p8 :rule bool-impl-true2 :args (@t80)) % 0.38/0.61 (step @p9 :rule refl :args (@t83)) % 0.38/0.61 (step @p10 :rule cong :premises (@p9 @p8) :args (@t84)) % 0.38/0.61 (step @p11 :rule cong :premises (@p10) :args ((not @t84))) % 0.38/0.61 (step @p12 :rule refl :args (@t63)) % 0.38/0.61 (step @p13 :rule aci_norm :args ((= @t85 @t67))) % 0.38/0.61 (step @p14 :rule cong :premises (@p13) :args ((forall @t68 @t85))) % 0.38/0.61 (step @p15 :rule quant-var-elim-eq :args ((= (forall @t87 (or (not (= @t28 false)) @t60 @t28 @t66 @t86)) @t85))) % 0.38/0.61 (step @p16 :rule refl :args (@t86)) % 0.38/0.61 (step @p17 :rule refl :args (@t66)) % 0.38/0.61 (step @p18 :rule refl :args (@t28)) % 0.38/0.61 (step @p19 :rule refl :args (@t60)) % 0.38/0.61 (step @p20 :rule bool-eq-false :args (@t28)) % 0.38/0.61 (step @p21 :rule symm :premises (@p20)) % 0.38/0.61 (step @p22 :rule cong :premises (@p21) :args (@t88)) % 0.38/0.61 (step @p23 :rule bool-double-not-elim :args (@t28)) % 0.38/0.61 (step @p24 :rule symm :premises (@p23)) % 0.38/0.61 (step @p25 :rule trans :premises (@p24 @p22)) % 0.38/0.61 (step @p26 :rule nary_cong :premises (@p25 @p19 @p18 @p17 @p16) :args (@t89)) % 0.38/0.61 (step @p27 :rule aci_norm :args ((= @t90 @t89))) % 0.38/0.61 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.61 (step @p29 :rule cong :premises (@p28) :args (@t91)) % 0.38/0.61 (step @p30 :rule trans :premises (@p29 @p15)) % 0.38/0.61 (step @p31 :rule cong :premises (@p30) :args (@t92)) % 0.38/0.61 (step @p32 :rule quant-merge-prenex :args ((= @t92 @t93))) % 0.38/0.61 (step @p33 :rule symm :premises (@p32)) % 0.38/0.61 (step @p34 :rule quant_var_reordering :args ((= (forall @t94 @t90) @t93))) % 0.38/0.61 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 0.38/0.61 (step @p36 :rule trans :premises (@p35 @p14)) % 0.38/0.61 (step @p37 :rule aci_norm :args ((= @t96 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@p483) :args (@t232)) % 0.38/0.61 (step @p486 :rule true_intro :premises (@p443)) % 0.38/0.61 (step @p487 :rule symm :premises (@p486)) % 0.38/0.61 (step @p488 :rule trans :premises (@p487 @p485 @p476)) % 0.38/0.61 (step @p489 false :rule eq_resolve :premises (@p488 @p475)) % 0.38/0.61 (step-pop @p573 :rule scope :premises (@p489)) % 0.38/0.61 (step-pop @p574 :rule scope :premises (@p573)) % 0.38/0.61 (step-pop @p575 :rule scope :premises (@p574)) % 0.38/0.61 (step-pop @p576 :rule scope :premises (@p575)) % 0.38/0.61 (step-pop @p577 :rule scope :premises (@p576)) % 0.38/0.61 (step @p490 :rule process_scope :premises (@p577) :args (false)) % 0.38/0.61 (assume-push @p578 @t211) % 0.38/0.61 (assume-push @p579 @t224) % 0.38/0.61 (assume-push @p580 @t225) % 0.38/0.61 (assume-push @p581 @t229) % 0.38/0.61 (assume-push @p582 @t232) % 0.38/0.61 (step @p501 :rule and_intro :premises (@p441 @p463 @p446 @p578 @p443)) % 0.38/0.61 (step-pop @p583 :rule scope :premises (@p501)) % 0.38/0.61 (step-pop 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0.38/0.61 (step @p517 :rule bool-double-not-elim :args (@t211)) % 0.38/0.61 (step @p518 :rule nary_cong :premises (@p467 @p517 @p516 @p515 @p514) :args ((or @t237 (not @t236) @t243 (not @t195) @t242))) % 0.38/0.61 (assume-push @p588 @t224) % 0.38/0.61 (assume-push @p589 @t236) % 0.38/0.61 (assume-push @p590 @t205) % 0.38/0.61 (assume-push @p591 @t195) % 0.38/0.61 (assume-push @p592 @t224) % 0.38/0.61 (assume-push @p593 @t205) % 0.38/0.61 (assume-push @p594 @t195) % 0.38/0.61 (assume-push @p595 @t236) % 0.38/0.61 (step @p476 :rule false_intro :premises (@p441)) % 0.38/0.61 (step @p527 :rule refl :args (tptp.emptyset)) % 0.38/0.61 (step @p528 :rule symm :premises (@p438)) % 0.38/0.61 (step @p529 :rule false_intro :premises (@p589)) % 0.38/0.61 (step @p530 :rule trans :premises (@p529 @p382)) % 0.38/0.61 (step @p531 :rule cong :premises (@p383 @p530 @p374 @p373) :args (@t212)) % 0.38/0.61 (step @p532 :rule trans :premises (@p531 @p528)) % 0.38/0.61 (step @p533 :rule cong :premises (@p532 @p527) :args (@t239)) % 0.38/0.61 (step @p534 :rule cong :premises (@p374 @p533) :args (@t240)) % 0.38/0.61 (step @p484 :rule refl :args (@t212)) % 0.38/0.61 (step @p535 :rule cong :premises (@p484 @p534) :args (@t241)) % 0.38/0.61 (step @p536 :rule trans :premises (@p535 @p476)) % 0.38/0.61 (step @p537 :rule false_elim :premises (@p536)) % 0.38/0.61 (step-pop @p596 :rule scope :premises (@p537)) % 0.38/0.61 (step-pop @p597 :rule scope :premises (@p596)) % 0.38/0.61 (step-pop @p598 :rule scope :premises (@p597)) % 0.38/0.61 (step-pop @p599 :rule scope :premises (@p598)) % 0.38/0.61 (step @p538 :rule process_scope :premises (@p599) :args (@t242)) % 0.38/0.61 (step @p543 :rule and_intro :premises (@p441 @p438 @p439 @p589)) % 0.38/0.61 (step @p544 :rule modus_ponens :premises (@p543 @p538)) % 0.38/0.61 (step-pop @p600 :rule scope :premises (@p544)) % 0.38/0.61 (step-pop @p601 :rule scope :premises (@p600)) % 0.38/0.61 (step-pop @p602 :rule scope :premises (@p601)) % 0.38/0.61 (step-pop @p603 :rule scope :premises (@p602)) % 0.38/0.61 (step @p545 :rule process_scope :premises (@p603) :args (@t242)) % 0.38/0.61 (step @p550 :rule implies_elim :premises (@p545)) % 0.38/0.61 (step @p551 :rule cnf_and_neg :args (@t244)) % 0.38/0.61 (step @p552 :rule resolution :premises (@p551 @p550) :args (true @t244)) % 0.38/0.61 (step @p553 :rule eq_resolve :premises (@p552 @p518)) % 0.38/0.61 (step @p554 :rule reordering :premises (@p553) :args ((or @t211 @t213 @t194 @t243 @t242))) % 0.38/0.61 (step @p555 :rule chain_m_resolution :premises (@p554 @p513 @p441 @p439 @p438) :args (@t242 (@list true true true false) (@list @t211 @t213 @t194 @t205))) % 0.38/0.61 (assume-push @p604 @t79) % 0.38/0.61 (step @p557 :rule instantiate :premises (@p369) :args ((@list @t193 @t212))) % 0.38/0.61 (step-pop @p605 :rule scope :premises (@p557)) % 0.38/0.61 (step @p558 :rule process_scope :premises (@p605) :args (@t241)) % 0.38/0.61 (step @p560 :rule implies_elim :premises (@p558)) % 0.38/0.61 (step @p561 false :rule chain_m_resolution :premises (@p560 @p555 @p369) :args (false (@list true false) (@list @t241 @t79))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------