%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV001^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:55:17 AM UTC 2026 % Result : Theorem 1.87s 2.13s % Output : Proof 1.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV001^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:06:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 1.87/2.13 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.87/2.13 % SZS status Theorem % 1.87/2.13 % SZS output start Proof % 1.87/2.13 ( % 1.87/2.13 (declare-sort tptp.a 0) % 1.87/2.13 (define @t1 () (@var "Xz" tptp.a)) % 1.87/2.13 (define @t2 () (@var "Xx" tptp.a)) % 1.87/2.13 (define @t3 () (@var "MEET" (-> tptp.a tptp.a tptp.a))) % 1.87/2.13 (define @t4 () (_ @t3 @t2)) % 1.87/2.13 (define @t5 () (_ @t4 @t1)) % 1.87/2.13 (define @t6 () (@var "Xy" tptp.a)) % 1.87/2.13 (define @t7 () (_ @t4 @t6)) % 1.87/2.13 (define @t8 () (@var "JOIN" (-> tptp.a tptp.a tptp.a))) % 1.87/2.13 (define @t9 () (_ @t8 @t7)) % 1.87/2.13 (define @t10 () (_ @t9 @t5)) % 1.87/2.13 (define @t11 () (_ @t8 @t6)) % 1.87/2.13 (define @t12 () (_ @t11 @t1)) % 1.87/2.13 (define @t13 () (_ @t4 @t12)) % 1.87/2.13 (define @t14 () (= @t13 @t10)) % 1.87/2.13 (define @t15 () (@list @t2 @t6 @t1)) % 1.87/2.13 (define @t16 () (forall @t15 @t14)) % 1.87/2.13 (define @t17 () (_ @t8 @t2)) % 1.87/2.13 (define @t18 () (_ @t17 @t1)) % 1.87/2.13 (define @t19 () (_ @t17 @t6)) % 1.87/2.13 (define @t20 () (_ @t3 @t19)) % 1.87/2.13 (define @t21 () (_ @t20 @t18)) % 1.87/2.13 (define @t22 () (_ @t3 @t6)) % 1.87/2.13 (define @t23 () (_ @t22 @t1)) % 1.87/2.13 (define @t24 () (_ @t17 @t23)) % 1.87/2.13 (define @t25 () (= @t24 @t21)) % 1.87/2.13 (define @t26 () (forall @t15 @t25)) % 1.87/2.13 (define @t27 () (= @t26 @t16)) % 1.87/2.13 (define @t28 () (_ @t20 @t6)) % 1.87/2.13 (define @t29 () (@list @t2 @t6)) % 1.87/2.13 (define @t30 () (forall @t29 (= @t28 @t6))) % 1.87/2.13 (define @t31 () (_ @t9 @t6)) % 1.87/2.13 (define @t32 () (forall @t29 (= @t31 @t6))) % 1.87/2.13 (define @t33 () (_ @t22 @t2)) % 1.87/2.13 (define @t34 () (= @t7 @t33)) % 1.87/2.13 (define @t35 () (forall @t29 @t34)) % 1.87/2.13 (define @t36 () (_ @t11 @t2)) % 1.87/2.13 (define @t37 () (= @t19 @t36)) % 1.87/2.13 (define @t38 () (forall @t29 @t37)) % 1.87/2.13 (define @t39 () (_ @t4 @t23)) % 1.87/2.13 (define @t40 () (_ (_ @t3 @t7) @t1)) % 1.87/2.13 (define @t41 () (= @t40 @t39)) % 1.87/2.13 (define @t42 () (forall @t15 @t41)) % 1.87/2.13 (define @t43 () (_ @t17 @t12)) % 1.87/2.13 (define @t44 () (_ (_ @t8 @t19) @t1)) % 1.87/2.13 (define @t45 () (= @t44 @t43)) % 1.87/2.13 (define @t46 () (forall @t15 @t45)) % 1.87/2.13 (define @t47 () (_ @t4 @t2)) % 1.87/2.13 (define @t48 () (@list @t2)) % 1.87/2.13 (define @t49 () (forall @t48 (= @t47 @t2))) % 1.87/2.13 (define @t50 () (_ @t17 @t2)) % 1.87/2.13 (define @t51 () (forall @t48 (= @t50 @t2))) % 1.87/2.13 (define @t52 () (and @t51 @t49 @t46 @t42 @t38 @t35 @t32 @t30)) % 1.87/2.13 (define @t53 () (=> @t52 @t27)) % 1.87/2.13 (define @t54 () (@list @t8 @t3)) % 1.87/2.13 (define @t55 () (forall @t54 @t53)) % 1.87/2.13 (define @t56 () (not @t55)) % 1.87/2.13 (define @t57 () (_ @t3 @t2 @t1)) % 1.87/2.13 (define @t58 () (_ @t3 @t2 @t6)) % 1.87/2.13 (define @t59 () (_ @t8 @t58 @t57)) % 1.87/2.13 (define @t60 () (_ @t8 @t6 @t1)) % 1.87/2.13 (define @t61 () (_ @t3 @t2 @t60)) % 1.87/2.13 (define @t62 () (_ @t8 @t2 @t1)) % 1.87/2.13 (define @t63 () (_ @t8 @t2 @t6)) % 1.87/2.13 (define @t64 () (_ @t3 @t63 @t62)) % 1.87/2.13 (define @t65 () (_ @t3 @t6 @t1)) % 1.87/2.13 (define @t66 () (_ @t8 @t2 @t65)) % 1.87/2.13 (define @t67 () (= (forall @t15 (= @t66 @t64)) (forall @t15 (= @t61 @t59)))) % 1.87/2.13 (define @t68 () (_ @t3 @t63 @t6)) % 1.87/2.13 (define @t69 () (forall @t29 (= @t6 @t68))) % 1.87/2.13 (define @t70 () (not @t69)) % 1.87/2.13 (define @t71 () (_ @t8 @t58 @t6)) % 1.87/2.13 (define @t72 () (forall @t29 (= @t6 @t71))) % 1.87/2.13 (define @t73 () (not @t72)) % 1.87/2.13 (define @t74 () (_ @t3 @t6 @t2)) % 1.87/2.13 (define @t75 () (forall @t29 (= @t58 @t74))) % 1.87/2.13 (define @t76 () (not @t75)) % 1.87/2.13 (define @t77 () (_ @t8 @t6 @t2)) % 1.87/2.13 (define @t78 () (forall @t29 (= @t63 @t77))) % 1.87/2.13 (define @t79 () (not @t78)) % 1.87/2.13 (define @t80 () (_ @t3 @t2 @t65)) % 1.87/2.13 (define @t81 () (_ @t3 @t58 @t1)) % 1.87/2.13 (define @t82 () (forall @t15 (= @t81 @t80))) % 1.87/2.13 (define @t83 () (not @t82)) % 1.87/2.13 (define @t84 () (_ @t8 @t2 @t60)) % 1.87/2.13 (define @t85 () (_ @t8 @t63 @t1)) % 1.87/2.13 (define @t86 () (forall @t15 (= @t85 @t84))) % 1.87/2.13 (define @t87 () (not @t86)) % 1.87/2.13 (define @t88 () (_ @t3 @t2 @t2)) % 1.87/2.13 (define @t89 () (forall @t48 (= @t2 @t88))) % 1.87/2.13 (define @t90 () (not @t89)) % 1.87/2.13 (define @t91 () (_ @t8 @t2 @t2)) % 1.87/2.13 (define @t92 () (forall @t48 (= @t2 @t91))) % 1.87/2.13 (define @t93 () (not @t92)) % 1.87/2.13 (define @t94 () (or @t93 @t90 @t87 @t83 @t79 @t76 @t73 @t70 @t67)) % 1.87/2.13 (define @t95 () (or @t93 @t90 @t87 @t83 @t79 @t76 @t73 @t70)) % 1.87/2.13 (define @t96 () (and @t92 @t89 @t86 @t82 @t78 @t75 @t72 @t69)) % 1.87/2.13 (define @t97 () (_ @t8 @t58)) % 1.87/2.13 (define @t98 () (_ @t3 @t63)) % 1.87/2.13 (define @t99 () (= @t6 @t28)) % 1.87/2.13 (define @t100 () (= @t6 @t31)) % 1.87/2.13 (define @t101 () (= @t2 @t47)) % 1.87/2.13 (define @t102 () (= @t2 @t50)) % 1.87/2.13 (define @t103 () (forall @t54 @t94)) % 1.87/2.13 (define @t104 () (@quantifiers_skolemize @t103 0)) % 1.87/2.13 (define @t105 () (_ @t104 @t6 @t1)) % 1.87/2.13 (define @t106 () (_ @t104 @t2 @t6)) % 1.87/2.13 (define @t107 () (forall @t15 (= (_ @t104 @t106 @t1) (_ @t104 @t2 @t105)))) % 1.87/2.13 (define @t108 () (@quantifiers_skolemize @t103 1)) % 1.87/2.13 (define @t109 () (_ @t108 @t2 @t6)) % 1.87/2.13 (define @t110 () (forall @t15 (= (_ @t108 @t2 @t105) (_ @t104 @t109 (_ @t108 @t2 @t1))))) % 1.87/2.13 (define @t111 () (_ @t108 @t6 @t1)) % 1.87/2.13 (define @t112 () (forall @t15 (= (_ @t104 @t2 @t111) (_ @t108 @t106 (_ @t104 @t2 @t1))))) % 1.87/2.13 (define @t113 () (= @t112 @t110)) % 1.87/2.13 (define @t114 () (forall @t29 (= @t6 (_ @t108 @t106 @t6)))) % 1.87/2.13 (define @t115 () (not @t114)) % 1.87/2.13 (define @t116 () (forall @t29 (= @t6 (_ @t104 @t109 @t6)))) % 1.87/2.13 (define @t117 () (not @t116)) % 1.87/2.13 (define @t118 () (forall @t29 (= @t109 (_ @t108 @t6 @t2)))) % 1.87/2.13 (define @t119 () (not @t118)) % 1.87/2.13 (define @t120 () (forall @t29 (= @t106 (_ @t104 @t6 @t2)))) % 1.87/2.13 (define @t121 () (not @t120)) % 1.87/2.13 (define @t122 () (forall @t15 (= (_ @t108 @t109 @t1) (_ @t108 @t2 @t111)))) % 1.87/2.13 (define @t123 () (not @t122)) % 1.87/2.13 (define @t124 () (not @t107)) % 1.87/2.13 (define @t125 () (or (not (forall @t48 (= @t2 (_ @t104 @t2 @t2)))) (not (forall @t48 (= @t2 (_ @t108 @t2 @t2)))) @t124 @t123 @t121 @t119 @t117 @t115 @t113)) % 1.87/2.13 (define @t126 () (@list true)) % 1.87/2.13 (define @t127 () (@list @t125)) % 1.87/2.13 (define @t128 () (@quantifiers_skolemize @t112 0)) % 1.87/2.13 (define @t129 () (@quantifiers_skolemize @t112 1)) % 1.87/2.13 (define @t130 () (@list @t129 @t128)) % 1.87/2.13 (define @t131 () (_ @t104 @t128 @t129)) % 1.87/2.13 (define @t132 () (_ @t108 @t131 @t128)) % 1.87/2.13 (define @t133 () (@quantifiers_skolemize @t110 1)) % 1.87/2.13 (define @t134 () (@quantifiers_skolemize @t110 0)) % 1.87/2.13 (define @t135 () (@quantifiers_skolemize @t110 2)) % 1.87/2.13 (define @t136 () (_ @t108 @t134 @t135)) % 1.87/2.13 (define @t137 () (_ @t104 @t136 @t133)) % 1.87/2.13 (define @t138 () (_ @t108 @t134 @t133)) % 1.87/2.13 (define @t139 () (_ @t104 @t136 @t138)) % 1.87/2.13 (define @t140 () (= @t139 (_ @t108 (_ @t104 @t136 @t134) @t137))) % 1.87/2.13 (define @t141 () (_ @t104 @t134 @t133)) % 1.87/2.13 (define @t142 () (_ @t104 @t134 @t134)) % 1.87/2.13 (define @t143 () (_ @t108 @t142 @t141)) % 1.87/2.13 (define @t144 () (_ @t104 @t134 @t138)) % 1.87/2.13 (define @t145 () (= @t144 @t143)) % 1.87/2.13 (define @t146 () (_ @t104 @t133 @t135)) % 1.87/2.13 (define @t147 () (_ @t104 @t133 @t134)) % 1.87/2.13 (define @t148 () (_ @t104 @t133 @t136)) % 1.87/2.13 (define @t149 () (= @t148 (_ @t108 @t147 @t146))) % 1.87/2.13 (define @t150 () (_ @t104 @t138 @t136)) % 1.87/2.13 (define @t151 () (_ @t108 @t134 @t146)) % 1.87/2.13 (define @t152 () (= @t151 @t150)) % 1.87/2.13 (define @t153 () (not @t152)) % 1.87/2.13 (define @t154 () (not @t110)) % 1.87/2.13 (define @t155 () (@list @t134 @t133)) % 1.87/2.13 (define @t156 () (@list @t138 @t134)) % 1.87/2.13 (define @t157 () (_ @t104 @t138 @t134)) % 1.87/2.13 (define @t158 () (= @t150 @t139)) % 1.87/2.13 (define @t159 () (_ @t108 @t133 @t134)) % 1.87/2.13 (define @t160 () (= @t138 @t159)) % 1.87/2.13 (define @t161 () (_ @t108 @t135 @t134)) % 1.87/2.13 (define @t162 () (= @t136 @t161)) % 1.87/2.13 (define @t163 () (= @t134 (_ @t104 @t159 @t134))) % 1.87/2.13 (define @t164 () (_ @t104 @t161 @t134)) % 1.87/2.13 (define @t165 () (= @t134 @t164)) % 1.87/2.13 (define @t166 () (= @t157 @t144)) % 1.87/2.13 (define @t167 () (_ @t108 @t157 @t134)) % 1.87/2.13 (define @t168 () (= @t134 @t167)) % 1.87/2.13 (define @t169 () (= @t148 @t137)) % 1.87/2.13 (define @t170 () (= @t134 (_ @t104 @t167 @t134))) % 1.87/2.13 (define @t171 () (= @t141 @t147)) % 1.87/2.13 (define @t172 () (_ @t108 @t141 @t146)) % 1.87/2.13 (define @t173 () (_ @t108 @t142 @t172)) % 1.87/2.13 (define @t174 () (= (_ @t108 @t143 @t146) @t173)) % 1.87/2.13 (define @t175 () (and @t158 @t160 @t162 @t163 @t165 @t166 @t168 @t140 @t169 @t170 @t145 @t149 @t171 @t174)) % 1.87/2.13 (define @t176 () (not @t112)) % 1.87/2.13 (define @t177 () (_ @t108 @t128 @t129)) % 1.87/2.13 (define @t178 () (_ @t108 @t128 @t128)) % 1.87/2.13 (define @t179 () (_ @t104 @t178 @t177)) % 1.87/2.13 (define @t180 () (_ @t108 @t128 @t131)) % 1.87/2.13 (define @t181 () (= @t180 @t179)) % 1.87/2.13 (define @t182 () (@list false)) % 1.87/2.13 (define @t183 () (@list @t110)) % 1.87/2.13 (define @t184 () (@quantifiers_skolemize @t112 2)) % 1.87/2.13 (define @t185 () (_ @t108 @t129 @t184)) % 1.87/2.13 (define @t186 () (_ @t108 @t129 @t128)) % 1.87/2.13 (define @t187 () (_ @t104 @t128 @t184)) % 1.87/2.13 (define @t188 () (_ @t108 @t129 @t187)) % 1.87/2.13 (define @t189 () (= @t188 (_ @t104 @t186 @t185))) % 1.87/2.13 (define @t190 () (_ @t108 @t187 @t129)) % 1.87/2.13 (define @t191 () (_ @t108 @t187 @t131)) % 1.87/2.13 (define @t192 () (= @t191 (_ @t104 (_ @t108 @t187 @t128) @t190))) % 1.87/2.13 (define @t193 () (@list @t131 @t128)) % 1.87/2.13 (define @t194 () (_ @t108 @t131 @t187)) % 1.87/2.13 (define @t195 () (= (_ @t104 @t128 @t185) @t194)) % 1.87/2.13 (define @t196 () (not @t195)) % 1.87/2.13 (define @t197 () (_ @t104 @t177 @t185)) % 1.87/2.13 (define @t198 () (_ @t104 @t178 @t197)) % 1.87/2.13 (define @t199 () (_ @t104 @t179 @t185)) % 1.87/2.13 (define @t200 () (= @t199 @t198)) % 1.87/2.13 (define @t201 () (not @t200)) % 1.87/2.13 (define @t202 () (= @t186 @t177)) % 1.87/2.13 (define @t203 () (not @t202)) % 1.87/2.13 (define @t204 () (_ @t104 @t132 @t128)) % 1.87/2.13 (define @t205 () (= @t128 (_ @t108 @t204 @t128))) % 1.87/2.13 (define @t206 () (not @t205)) % 1.87/2.13 (define @t207 () (not @t181)) % 1.87/2.13 (define @t208 () (not @t189)) % 1.87/2.13 (define @t209 () (= @t188 @t190)) % 1.87/2.13 (define @t210 () (not @t209)) % 1.87/2.13 (define @t211 () (not @t192)) % 1.87/2.13 (define @t212 () (= @t128 @t204)) % 1.87/2.13 (define @t213 () (not @t212)) % 1.87/2.13 (define @t214 () (= @t132 @t180)) % 1.87/2.13 (define @t215 () (not @t214)) % 1.87/2.13 (define @t216 () (_ @t104 @t184 @t128)) % 1.87/2.13 (define @t217 () (_ @t108 @t216 @t128)) % 1.87/2.13 (define @t218 () (= @t128 @t217)) % 1.87/2.13 (define @t219 () (not @t218)) % 1.87/2.13 (define @t220 () (_ @t104 @t129 @t128)) % 1.87/2.13 (define @t221 () (= @t128 (_ @t108 @t220 @t128))) % 1.87/2.13 (define @t222 () (not @t221)) % 1.87/2.13 (define @t223 () (= @t194 @t191)) % 1.87/2.13 (define @t224 () (not @t223)) % 1.87/2.13 (define @t225 () (= @t187 @t216)) % 1.87/2.13 (define @t226 () (not @t225)) % 1.87/2.13 (define @t227 () (= @t131 @t220)) % 1.87/2.13 (define @t228 () (not @t227)) % 1.87/2.13 (define @t229 () (and @t196 @t227 @t225 @t223 @t221 @t218 @t214 @t212 @t192 @t209 @t189 @t181 @t205 @t202)) % 1.87/2.13 (assume @p1 @t56) % 1.87/2.13 (assume @p2 true) % 1.87/2.13 (step @p3 :rule aci_norm :args ((= (or @t95 @t67) @t94))) % 1.87/2.13 (step @p4 :rule refl :args (@t67)) % 1.87/2.13 (step @p5 :rule aci_norm :args ((= (or @t93 (or @t90 (or @t87 (or @t83 (or @t79 (or @t76 (or @t73 @t70))))))) @t95))) % 1.87/2.13 (step @p6 :rule bool-and-de-morgan :args (@t72 @t69 true)) % 1.87/2.13 (step @p7 :rule refl :args (@t76)) % 1.87/2.13 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or @t76 (not (and @t72 @t69))))) % 1.87/2.13 (step @p9 :rule bool-and-de-morgan :args (@t75 @t72 (and @t69))) % 1.87/2.13 (step @p10 :rule trans :premises (@p9 @p8)) % 1.87/2.13 (step @p11 :rule refl :args (@t79)) % 1.87/2.13 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t79 (not (and @t75 @t72 @t69))))) % 1.87/2.13 (step @p13 :rule bool-and-de-morgan :args (@t78 @t75 (and @t72 @t69))) % 1.87/2.13 (step @p14 :rule trans :premises (@p13 @p12)) % 1.87/2.13 (step @p15 :rule refl :args (@t83)) % 1.87/2.13 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t83 (not (and @t78 @t75 @t72 @t69))))) % 1.87/2.13 (step @p17 :rule bool-and-de-morgan :args (@t82 @t78 (and @t75 @t72 @t69))) % 1.87/2.13 (step @p18 :rule trans :premises (@p17 @p16)) % 1.87/2.13 (step @p19 :rule refl :args (@t87)) % 1.87/2.13 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t87 (not (and @t82 @t78 @t75 @t72 @t69))))) % 1.87/2.13 (step @p21 :rule bool-and-de-morgan :args (@t86 @t82 (and @t78 @t75 @t72 @t69))) % 1.87/2.13 (step @p22 :rule trans :premises (@p21 @p20)) % 1.87/2.13 (step @p23 :rule refl :args (@t90)) % 1.87/2.13 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t90 (not (and @t86 @t82 @t78 @t75 @t72 @t69))))) % 1.87/2.13 (step @p25 :rule bool-and-de-morgan :args (@t89 @t86 (and @t82 @t78 @t75 @t72 @t69))) % 1.87/2.13 (step @p26 :rule trans :premises (@p25 @p24)) % 1.87/2.13 (step @p27 :rule refl :args (@t93)) % 1.87/2.13 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t93 (not (and @t89 @t86 @t82 @t78 @t75 @t72 @t69))))) % 1.87/2.13 (step @p29 :rule bool-and-de-morgan :args (@t92 @t89 (and @t86 @t82 @t78 @t75 @t72 @t69))) % 1.87/2.13 (step @p30 :rule trans :premises (@p29 @p28)) % 1.87/2.13 (step @p31 :rule trans :premises (@p30 @p5)) % 1.87/2.13 (step @p32 :rule nary_cong :premises (@p31 @p4) :args ((or (not @t96) @t67))) % 1.87/2.13 (step @p33 :rule trans :premises (@p32 @p3)) % 1.87/2.13 (step @p34 :rule bool-impl-elim :args (@t96 @t67)) % 1.87/2.13 (step @p35 :rule trans :premises (@p34 @p33)) % 1.87/2.13 (step @p36 :rule cong :premises (@p35) :args ((forall @t54 (=> @t96 @t67)))) % 1.87/2.13 (step @p37 :rule refl :args ((_ @t8 @t7 @t5))) % 1.87/2.13 (step @p38 :rule refl :args (@t57)) % 1.87/2.13 (step @p39 :rule refl :args (@t58)) % 1.87/2.13 (step @p40 :rule cong :premises (@p39 @p38) :args (@t59)) % 1.87/2.13 (step @p41 :rule trans :premises (@p40 @p37)) % 1.87/2.13 (step @p42 :rule refl :args (@t8)) % 1.87/2.13 (step @p43 :rule ho_cong :premises (@p42 @p39)) % 1.87/2.13 (step @p44 :rule ho_cong :premises (@p43 @p38)) % 1.87/2.13 (step @p45 :rule cong :premises (@p44 @p41) :args ((= (_ @t97 @t57) @t59))) % 1.87/2.13 (step @p46 :rule symm :premises (@p45)) % 1.87/2.13 (step @p47 :rule refl :args (@t10)) % 1.87/2.13 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 1.87/2.13 (step @p49 :rule refl :args (@t5)) % 1.87/2.13 (step @p50 :rule cong :premises 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@p517 :rule cong :premises (@p516 @p510) :args (@t200)) % 1.87/2.14 (step @p518 :rule trans :premises (@p517 @p490)) % 1.87/2.14 (step @p519 :rule false_elim :premises (@p518)) % 1.87/2.14 (step-pop @p663 :rule scope :premises (@p519)) % 1.87/2.14 (step-pop @p664 :rule scope :premises (@p663)) % 1.87/2.14 (step-pop @p665 :rule scope :premises (@p664)) % 1.87/2.14 (step-pop @p666 :rule scope :premises (@p665)) % 1.87/2.14 (step-pop @p667 :rule scope :premises (@p666)) % 1.87/2.14 (step-pop @p668 :rule scope :premises (@p667)) % 1.87/2.14 (step-pop @p669 :rule scope :premises (@p668)) % 1.87/2.14 (step-pop @p670 :rule scope :premises (@p669)) % 1.87/2.14 (step-pop @p671 :rule scope :premises (@p670)) % 1.87/2.14 (step-pop @p672 :rule scope :premises (@p671)) % 1.87/2.14 (step-pop @p673 :rule scope :premises (@p672)) % 1.87/2.14 (step-pop @p674 :rule scope :premises (@p673)) % 1.87/2.14 (step-pop @p675 :rule scope :premises (@p674)) % 1.87/2.14 (step-pop @p676 :rule scope :premises (@p675)) % 1.87/2.14 (step @p520 :rule process_scope :premises (@p676) :args (@t201)) % 1.87/2.14 (step @p535 :rule and_intro :premises (@p432 @p435 @p430 @p646 @p635 @p433 @p643 @p434 @p431 @p262 @p429 @p422 @p645 @p255)) % 1.87/2.14 (step @p536 :rule modus_ponens :premises (@p535 @p520)) % 1.87/2.14 (step-pop @p677 :rule scope :premises (@p536)) % 1.87/2.14 (step-pop @p678 :rule scope :premises (@p677)) % 1.87/2.14 (step-pop @p679 :rule scope :premises (@p678)) % 1.87/2.14 (step-pop @p680 :rule scope :premises (@p679)) % 1.87/2.14 (step-pop @p681 :rule scope :premises (@p680)) % 1.87/2.14 (step-pop @p682 :rule scope :premises (@p681)) % 1.87/2.14 (step-pop @p683 :rule scope :premises (@p682)) % 1.87/2.14 (step-pop @p684 :rule scope :premises (@p683)) % 1.87/2.14 (step-pop @p685 :rule scope :premises (@p684)) % 1.87/2.14 (step-pop @p686 :rule scope :premises (@p685)) % 1.87/2.14 (step-pop @p687 :rule scope :premises (@p686)) % 1.87/2.14 (step-pop @p688 :rule scope :premises (@p687)) % 1.87/2.14 (step-pop @p689 :rule scope :premises (@p688)) % 1.87/2.14 (step-pop @p690 :rule scope :premises (@p689)) % 1.87/2.14 (step @p537 :rule process_scope :premises (@p690) :args (@t201)) % 1.87/2.14 (step @p552 :rule implies_elim :premises (@p537)) % 1.87/2.14 (step @p553 :rule cnf_and_neg :args (@t229)) % 1.87/2.14 (step @p554 :rule resolution :premises (@p553 @p552) :args (true @t229)) % 1.87/2.14 (step @p555 :rule eq_resolve :premises (@p554 @p461)) % 1.87/2.14 (step @p556 :rule chain_m_resolution :premises (@p555 @p445 @p435 @p434 @p433 @p432 @p431 @p430 @p429 @p428 @p422 @p421 @p415 @p262 @p255) :args (@t201 (@list true false false false false false false false false false false false false false) (@list @t195 @t227 @t225 @t223 @t221 @t218 @t214 @t212 @t192 @t209 @t189 @t181 @t205 @t202))) % 1.87/2.14 (assume-push @p691 @t107) % 1.87/2.14 (step @p558 :rule instantiate :premises (@p248) :args ((@list @t178 @t177 @t185))) % 1.87/2.14 (step-pop @p692 :rule scope :premises (@p558)) % 1.87/2.14 (step @p559 :rule process_scope :premises (@p692) :args (@t200)) % 1.87/2.14 (step @p561 :rule implies_elim :premises (@p559)) % 1.87/2.14 (step @p562 false :rule chain_m_resolution :premises (@p561 @p556 @p248) :args (false (@list true false) (@list @t200 @t107))) % 1.87/2.14 ) % 1.87/2.14 % SZS output end Proof % 1.87/2.14 % cvc5 exiting %------------------------------------------------------------------------------