%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU600^2 : 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 : n013.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 08:52:22 AM UTC 2026 % Result : Theorem 210.47s 210.76s % Output : Proof 210.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU600^2 : 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 % 0.17/0.34 % Computer : n013.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 17:42:45 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TH0 % 210.47/210.76 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 210.47/210.76 --- 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... % 210.47/210.76 --- 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... % 210.47/210.76 --- Run --ho-elim --full-saturate-quant at 18s... % 210.47/210.76 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 210.47/210.76 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 210.47/210.76 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 210.47/210.76 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 210.47/210.76 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 21s... % 210.47/210.76 % SZS status Theorem % 210.47/210.76 % SZS output start Proof % 210.47/210.76 ( % 210.47/210.76 (declare-sort $$unsorted 0) % 210.47/210.76 (declare-const tptp.binintersectEL Bool) % 210.47/210.76 (declare-const tptp.binintersectI Bool) % 210.47/210.76 (declare-const tptp.binintersectER Bool) % 210.47/210.76 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 210.47/210.76 (declare-const tptp.binunionIR Bool) % 210.47/210.76 (declare-const tptp.binunionEcases Bool) % 210.47/210.76 (declare-const tptp.binunionIL Bool) % 210.47/210.76 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 210.47/210.76 (declare-const tptp.subsetI1 Bool) % 210.47/210.76 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 210.47/210.76 (declare-const tptp.setextsub Bool) % 210.47/210.76 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 210.47/210.76 (define @t1 () (@var "B" $$unsorted)) % 210.47/210.76 (define @t2 () (@var "A" $$unsorted)) % 210.47/210.76 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 210.47/210.76 (define @t4 () (@var "Xx" $$unsorted)) % 210.47/210.76 (define @t5 () (_ tptp.in @t4)) % 210.47/210.76 (define @t6 () (_ @t5 @t1)) % 210.47/210.76 (define @t7 () (_ @t5 @t2)) % 210.47/210.76 (define @t8 () (@list @t4)) % 210.47/210.76 (define @t9 () (forall @t8 (=> @t7 @t6))) % 210.47/210.76 (define @t10 () (=> @t9 @t3)) % 210.47/210.76 (define @t11 () (@list @t2 @t1)) % 210.47/210.76 (define @t12 () (forall @t11 @t10)) % 210.47/210.76 (define @t13 () (= tptp.subsetI1 @t12)) % 210.47/210.76 (define @t14 () (= @t2 @t1)) % 210.47/210.76 (define @t15 () (_ (_ tptp.subset @t1) @t2)) % 210.47/210.76 (define @t16 () (=> @t15 @t14)) % 210.47/210.76 (define @t17 () (forall @t11 (=> @t3 @t16))) % 210.47/210.76 (define @t18 () (= tptp.setextsub @t17)) % 210.47/210.76 (define @t19 () (_ (_ tptp.binunion @t2) @t1)) % 210.47/210.76 (define @t20 () (_ @t5 @t19)) % 210.47/210.76 (define @t21 () (@list @t2 @t1 @t4)) % 210.47/210.76 (define @t22 () (forall @t21 (=> @t7 @t20))) % 210.47/210.76 (define @t23 () (= tptp.binunionIL @t22)) % 210.47/210.76 (define @t24 () (forall @t21 (=> @t6 @t20))) % 210.47/210.76 (define @t25 () (= tptp.binunionIR @t24)) % 210.47/210.76 (define @t26 () (@var "Xphi" Bool)) % 210.47/210.76 (define @t27 () (=> @t6 @t26)) % 210.47/210.76 (define @t28 () (=> @t27 @t26)) % 210.47/210.76 (define @t29 () (=> @t7 @t26)) % 210.47/210.76 (define @t30 () (=> @t29 @t28)) % 210.47/210.76 (define @t31 () (@list @t2 @t1 @t4 @t26)) % 210.47/210.76 (define @t32 () (forall @t31 (=> @t20 @t30))) % 210.47/210.76 (define @t33 () (= tptp.binunionEcases @t32)) % 210.47/210.76 (define @t34 () (_ tptp.binintersect @t2)) % 210.47/210.76 (define @t35 () (_ @t34 @t1)) % 210.47/210.76 (define @t36 () (_ @t5 @t35)) % 210.47/210.76 (define @t37 () (=> @t6 @t36)) % 210.47/210.76 (define @t38 () (forall @t21 (=> @t7 @t37))) % 210.47/210.76 (define @t39 () (= tptp.binintersectI @t38)) % 210.47/210.76 (define @t40 () (forall @t21 (=> @t36 @t7))) % 210.47/210.76 (define @t41 () (= tptp.binintersectEL @t40)) % 210.47/210.76 (define @t42 () (forall @t21 (=> @t36 @t6))) % 210.47/210.76 (define @t43 () (= tptp.binintersectER @t42)) % 210.47/210.76 (define @t44 () (@var "C" $$unsorted)) % 210.47/210.76 (define @t45 () (_ @t34 @t44)) % 210.47/210.76 (define @t46 () (_ (_ tptp.binunion @t35) @t45)) % 210.47/210.76 (define @t47 () (_ (_ tptp.binunion @t1) @t44)) % 210.47/210.76 (define @t48 () (_ @t34 @t47)) % 210.47/210.76 (define @t49 () (= @t48 @t46)) % 210.47/210.76 (define @t50 () (@list @t2 @t1 @t44)) % 210.47/210.76 (define @t51 () (forall @t50 @t49)) % 210.47/210.76 (define @t52 () (=> tptp.binintersectER @t51)) % 210.47/210.76 (define @t53 () (=> tptp.binintersectEL @t52)) % 210.47/210.76 (define @t54 () (=> tptp.binintersectI @t53)) % 210.47/210.76 (define @t55 () (=> tptp.binunionEcases @t54)) % 210.47/210.76 (define @t56 () (=> tptp.binunionIR @t55)) % 210.47/210.76 (define @t57 () (=> tptp.binunionIL @t56)) % 210.47/210.76 (define @t58 () (=> tptp.setextsub @t57)) % 210.47/210.76 (define @t59 () (=> tptp.subsetI1 @t58)) % 210.47/210.76 (define @t60 () (not @t59)) % 210.47/210.76 (define @t61 () (tptp.binintersect @t2 @t44)) % 210.47/210.76 (define @t62 () (tptp.binintersect @t2 @t1)) % 210.47/210.76 (define @t63 () (tptp.binunion @t62 @t61)) % 210.47/210.76 (define @t64 () (tptp.binunion @t1 @t44)) % 210.47/210.76 (define @t65 () (tptp.binintersect @t2 @t64)) % 210.47/210.76 (define @t66 () (forall @t50 (= @t65 @t63))) % 210.47/210.76 (define @t67 () (tptp.in @t4 @t1)) % 210.47/210.76 (define @t68 () (tptp.in @t4 @t62)) % 210.47/210.76 (define @t69 () (not @t36)) % 210.47/210.76 (define @t70 () (or @t69 @t6)) % 210.47/210.76 (define @t71 () (=> tptp.binintersectER @t66)) % 210.47/210.76 (define @t72 () (tptp.in @t4 @t2)) % 210.47/210.76 (define @t73 () (or @t69 @t7)) % 210.47/210.76 (define @t74 () (=> tptp.binintersectEL @t71)) % 210.47/210.76 (define @t75 () (not @t6)) % 210.47/210.76 (define @t76 () (not @t7)) % 210.47/210.76 (define @t77 () (or @t76 @t75 @t36)) % 210.47/210.76 (define @t78 () (=> tptp.binintersectI @t74)) % 210.47/210.76 (define @t79 () (not false)) % 210.47/210.76 (define @t80 () (and @t67 @t79)) % 210.47/210.76 (define @t81 () (and @t72 @t79)) % 210.47/210.76 (define @t82 () (tptp.binunion @t2 @t1)) % 210.47/210.76 (define @t83 () (tptp.in @t4 @t82)) % 210.47/210.76 (define @t84 () (not @t83)) % 210.47/210.76 (define @t85 () (or @t84 @t81 @t80)) % 210.47/210.76 (define @t86 () (or @t84 @t81 @t80 false)) % 210.47/210.76 (define @t87 () (not @t26)) % 210.47/210.76 (define @t88 () (and @t67 @t87)) % 210.47/210.76 (define @t89 () (and @t72 @t87)) % 210.47/210.76 (define @t90 () (@list @t26)) % 210.47/210.76 (define @t91 () (or @t26 @t84 @t89 @t88 @t26)) % 210.47/210.76 (define @t92 () (or @t84 @t89 @t88 @t26)) % 210.47/210.76 (define @t93 () (forall @t90 @t92)) % 210.47/210.76 (define @t94 () (forall @t21 @t93)) % 210.47/210.76 (define @t95 () (and @t6 @t87)) % 210.47/210.76 (define @t96 () (and @t7 @t87)) % 210.47/210.76 (define @t97 () (not @t20)) % 210.47/210.76 (define @t98 () (or @t97 @t96 @t95 @t26)) % 210.47/210.76 (define @t99 () (or @t96 @t95 @t26)) % 210.47/210.76 (define @t100 () (=> tptp.binunionEcases @t78)) % 210.47/210.76 (define @t101 () (or @t75 @t20)) % 210.47/210.76 (define @t102 () (=> tptp.binunionIR @t100)) % 210.47/210.76 (define @t103 () (or @t76 @t20)) % 210.47/210.76 (define @t104 () (=> tptp.binunionIL @t102)) % 210.47/210.76 (define @t105 () (tptp.subset @t1 @t2)) % 210.47/210.76 (define @t106 () (not @t15)) % 210.47/210.76 (define @t107 () (tptp.subset @t2 @t1)) % 210.47/210.76 (define @t108 () (not @t3)) % 210.47/210.76 (define @t109 () (or @t108 @t106 @t14)) % 210.47/210.76 (define @t110 () (=> tptp.setextsub @t104)) % 210.47/210.76 (define @t111 () (forall @t8 (or (not @t72) @t67))) % 210.47/210.76 (define @t112 () (not @t111)) % 210.47/210.76 (define @t113 () (or @t112 @t3)) % 210.47/210.76 (define @t114 () (or @t76 @t6)) % 210.47/210.76 (define @t115 () (=> tptp.subsetI1 @t110)) % 210.47/210.76 (define @t116 () (@quantifiers_skolemize @t66 2)) % 210.47/210.76 (define @t117 () (@quantifiers_skolemize @t66 1)) % 210.47/210.76 (define @t118 () (tptp.binunion @t117 @t116)) % 210.47/210.76 (define @t119 () (@quantifiers_skolemize @t66 0)) % 210.47/210.76 (define @t120 () (tptp.binintersect @t119 @t118)) % 210.47/210.76 (define @t121 () (tptp.binintersect @t119 @t116)) % 210.47/210.76 (define @t122 () (tptp.binintersect @t119 @t117)) % 210.47/210.76 (define @t123 () (tptp.binunion @t122 @t121)) % 210.47/210.76 (define @t124 () (@list @t120 @t123)) % 210.47/210.76 (define @t125 () (tptp.in @t4 @t123)) % 210.47/210.76 (define @t126 () (tptp.in @t4 @t120)) % 210.47/210.76 (define @t127 () (forall @t8 (or (not @t126) @t125))) % 210.47/210.76 (define @t128 () (@quantifiers_skolemize @t127 0)) % 210.47/210.76 (define @t129 () (tptp.in @t128 @t120)) % 210.47/210.76 (define @t130 () (tptp.in @t128 @t123)) % 210.47/210.76 (define @t131 () (not @t129)) % 210.47/210.76 (define @t132 () (or @t131 @t130)) % 210.47/210.76 (define @t133 () (@list @t119 @t118 @t128)) % 210.47/210.76 (define @t134 () (tptp.in @t128 @t118)) % 210.47/210.76 (define @t135 () (or @t131 @t134)) % 210.47/210.76 (define @t136 () (tptp.in @t128 @t119)) % 210.47/210.76 (define @t137 () (or @t131 @t136)) % 210.47/210.76 (define @t138 () (@list @t122 @t121 @t128)) % 210.47/210.76 (define @t139 () (tptp.in @t128 @t122)) % 210.47/210.76 (define @t140 () (not @t139)) % 210.47/210.76 (define @t141 () (or @t140 @t130)) % 210.47/210.76 (define @t142 () (tptp.in @t128 @t121)) % 210.47/210.76 (define @t143 () (not @t142)) % 210.47/210.76 (define @t144 () (or @t143 @t130)) % 210.47/210.76 (define @t145 () (tptp.in @t128 @t117)) % 210.47/210.76 (define @t146 () (not @t145)) % 210.47/210.76 (define @t147 () (not @t136)) % 210.47/210.76 (define @t148 () (or @t147 @t146 @t139)) % 210.47/210.76 (define @t149 () (tptp.in @t128 @t116)) % 210.47/210.76 (define @t150 () (not @t149)) % 210.47/210.76 (define @t151 () (or @t147 @t150 @t142)) % 210.47/210.76 (define @t152 () (not @t134)) % 210.47/210.76 (define @t153 () (or @t152 @t145 @t149)) % 210.47/210.76 (define @t154 () (not @t132)) % 210.47/210.76 (define @t155 () (not @t127)) % 210.47/210.76 (define @t156 () (@list false)) % 210.47/210.76 (define @t157 () (tptp.subset @t120 @t123)) % 210.47/210.76 (define @t158 () (or @t155 @t157)) % 210.47/210.76 (define @t159 () (@list false false)) % 210.47/210.76 (define @t160 () (= @t120 @t123)) % 210.47/210.76 (define @t161 () (tptp.subset @t123 @t120)) % 210.47/210.76 (define @t162 () (not @t161)) % 210.47/210.76 (define @t163 () (not @t157)) % 210.47/210.76 (define @t164 () (or @t163 @t162 @t160)) % 210.47/210.76 (define @t165 () (not @t125)) % 210.47/210.76 (define @t166 () (forall @t8 (or @t165 @t126))) % 210.47/210.76 (define @t167 () (not @t166)) % 210.47/210.76 (define @t168 () (or @t167 @t161)) % 210.47/210.76 (define @t169 () (@quantifiers_skolemize @t166 0)) % 210.47/210.76 (define @t170 () (tptp.in @t169 @t120)) % 210.47/210.76 (define @t171 () (tptp.in @t169 @t123)) % 210.47/210.76 (define @t172 () (not @t171)) % 210.47/210.76 (define @t173 () (or @t172 @t170)) % 210.47/210.76 (define @t174 () (not @t173)) % 210.47/210.76 (define @t175 () (@list true)) % 210.47/210.76 (define @t176 () (@list @t173)) % 210.47/210.76 (define @t177 () (tptp.in @t4 @t119)) % 210.47/210.76 (define @t178 () (forall @t8 (or @t165 @t177))) % 210.47/210.76 (define @t179 () (@quantifiers_skolemize @t178 0)) % 210.47/210.76 (define @t180 () (tptp.in @t179 @t123)) % 210.47/210.76 (define @t181 () (tptp.in @t179 @t119)) % 210.47/210.76 (define @t182 () (not @t180)) % 210.47/210.76 (define @t183 () (or @t182 @t181)) % 210.47/210.76 (define @t184 () (not (tptp.in @t4 @t121))) % 210.47/210.76 (define @t185 () (forall @t8 (or @t184 @t177))) % 210.47/210.76 (define @t186 () (@quantifiers_skolemize @t185 0)) % 210.47/210.76 (define @t187 () (or (not (tptp.in @t186 @t121)) (tptp.in @t186 @t119))) % 210.47/210.76 (define @t188 () (not @t187)) % 210.47/210.76 (define @t189 () (not @t185)) % 210.47/210.76 (define @t190 () (@list @t179)) % 210.47/210.76 (define @t191 () (tptp.in @t179 @t121)) % 210.47/210.76 (define @t192 () (not @t191)) % 210.47/210.76 (define @t193 () (or @t192 @t181)) % 210.47/210.76 (define @t194 () (not (tptp.in @t4 @t122))) % 210.47/210.76 (define @t195 () (forall @t8 (or @t194 @t177))) % 210.47/210.76 (define @t196 () (@quantifiers_skolemize @t195 0)) % 210.47/210.76 (define @t197 () (or (not (tptp.in @t196 @t122)) (tptp.in @t196 @t119))) % 210.47/210.76 (define @t198 () (not @t197)) % 210.47/210.76 (define @t199 () (not @t195)) % 210.47/210.76 (define @t200 () (tptp.in @t179 @t122)) % 210.47/210.76 (define @t201 () (not @t200)) % 210.47/210.76 (define @t202 () (or @t201 @t181)) % 210.47/210.76 (define @t203 () (or @t182 @t200 @t191)) % 210.47/210.76 (define @t204 () (@list false true false true false true false)) % 210.47/210.76 (define @t205 () (not @t183)) % 210.47/210.76 (define @t206 () (not @t178)) % 210.47/210.76 (define @t207 () (@list @t169)) % 210.47/210.76 (define @t208 () (tptp.in @t169 @t119)) % 210.47/210.76 (define @t209 () (or @t172 @t208)) % 210.47/210.76 (define @t210 () (tptp.in @t4 @t118)) % 210.47/210.76 (define @t211 () (forall @t8 (or @t165 @t210))) % 210.47/210.76 (define @t212 () (@quantifiers_skolemize @t211 0)) % 210.47/210.76 (define @t213 () (tptp.in @t212 @t123)) % 210.47/210.76 (define @t214 () (tptp.in @t212 @t118)) % 210.47/210.76 (define @t215 () (not @t213)) % 210.47/210.76 (define @t216 () (or @t215 @t214)) % 210.47/210.76 (define @t217 () (forall @t8 (or @t194 @t210))) % 210.47/210.76 (define @t218 () (@quantifiers_skolemize @t217 0)) % 210.47/210.76 (define @t219 () (tptp.in @t218 @t122)) % 210.47/210.76 (define @t220 () (tptp.in @t218 @t118)) % 210.47/210.76 (define @t221 () (not @t219)) % 210.47/210.76 (define @t222 () (or @t221 @t220)) % 210.47/210.76 (define @t223 () (tptp.in @t218 @t117)) % 210.47/210.76 (define @t224 () (or @t221 @t223)) % 210.47/210.76 (define @t225 () (not @t223)) % 210.47/210.76 (define @t226 () (or @t225 @t220)) % 210.47/210.76 (define @t227 () (@list false false false true false)) % 210.47/210.76 (define @t228 () (not @t222)) % 210.47/210.76 (define @t229 () (not @t217)) % 210.47/210.76 (define @t230 () (@list @t212)) % 210.47/210.76 (define @t231 () (tptp.in @t212 @t122)) % 210.47/210.76 (define @t232 () (not @t231)) % 210.47/210.76 (define @t233 () (or @t232 @t214)) % 210.47/210.76 (define @t234 () (forall @t8 (or @t184 @t210))) % 210.47/210.76 (define @t235 () (@quantifiers_skolemize @t234 0)) % 210.47/210.76 (define @t236 () (tptp.in @t235 @t121)) % 210.47/210.76 (define @t237 () (tptp.in @t235 @t118)) % 210.47/210.76 (define @t238 () (not @t236)) % 210.47/210.76 (define @t239 () (or @t238 @t237)) % 210.47/210.76 (define @t240 () (tptp.in @t235 @t116)) % 210.47/210.76 (define @t241 () (or @t238 @t240)) % 210.47/210.76 (define @t242 () (not @t240)) % 210.47/210.76 (define @t243 () (or @t242 @t237)) % 210.47/210.76 (define @t244 () (not @t239)) % 210.47/210.76 (define @t245 () (not @t234)) % 210.47/210.76 (define @t246 () (tptp.in @t212 @t121)) % 210.47/210.76 (define @t247 () (not @t246)) % 210.47/210.76 (define @t248 () (or @t247 @t214)) % 210.47/210.76 (define @t249 () (or @t215 @t231 @t246)) % 210.47/210.76 (define @t250 () (not @t216)) % 210.47/210.76 (define @t251 () (not @t211)) % 210.47/210.76 (define @t252 () (tptp.in @t169 @t118)) % 210.47/210.76 (define @t253 () (or @t172 @t252)) % 210.47/210.76 (define @t254 () (not @t252)) % 210.47/210.76 (define @t255 () (not @t208)) % 210.47/210.76 (define @t256 () (or @t255 @t254 @t170)) % 210.47/210.76 (assume @p1 @t13) % 210.47/210.76 (assume @p2 @t18) % 210.47/210.76 (assume @p3 @t23) % 210.47/210.76 (assume @p4 @t25) % 210.47/210.76 (assume @p5 @t33) % 210.47/210.76 (assume @p6 @t39) % 210.47/210.76 (assume @p7 @t41) % 210.47/210.76 (assume @p8 @t43) % 210.47/210.76 (assume @p9 @t60) % 210.47/210.76 (assume @p10 true) % 210.47/210.76 (step @p11 :rule refl :args (@t66)) % 210.47/210.76 (step @p12 :rule refl :args (@t67)) % 210.47/210.76 (step @p13 :rule refl :args (@t6)) % 210.47/210.76 (step @p14 :rule cong :premises 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210.47/210.76 (step @p45 :rule refl :args (@t7)) % 210.47/210.76 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t7 @t72))) % 210.47/210.76 (step @p47 :rule symm :premises (@p46)) % 210.47/210.76 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 210.47/210.76 (step @p49 :rule nary_cong :premises (@p34 @p48) :args (@t73)) % 210.47/210.76 (step @p50 :rule cong :premises (@p49) :args ((forall @t21 @t73))) % 210.47/210.76 (step @p51 :rule bool-impl-elim :args (@t36 @t7)) % 210.47/210.76 (step @p52 :rule cong :premises (@p51) :args (@t40)) % 210.47/210.76 (step @p53 :rule trans :premises (@p52 @p50)) % 210.47/210.76 (step @p54 :rule refl :args (tptp.binintersectEL)) % 210.47/210.76 (step @p55 :rule cong :premises (@p54 @p53) :args (@t41)) % 210.47/210.76 (step @p56 :rule eq_resolve :premises (@p7 @p55)) % 210.47/210.76 (step @p57 :rule cong :premises (@p56 @p43) :args (@t74)) % 210.47/210.76 (step @p58 :rule cong :premises (@p16) :args (@t75)) % 210.47/210.76 (step @p59 :rule cong :premises (@p48) :args (@t76)) % 210.47/210.76 (step @p60 :rule nary_cong :premises (@p59 @p58 @p33) :args (@t77)) % 210.47/210.76 (step @p61 :rule cong :premises (@p60) :args ((forall @t21 @t77))) % 210.47/210.76 (step @p62 :rule aci_norm :args ((= (or @t76 (or @t75 @t36)) @t77))) % 210.47/210.76 (step @p63 :rule bool-impl-elim :args (@t6 @t36)) % 210.47/210.76 (step @p64 :rule refl :args (@t76)) % 210.47/210.76 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t76 @t37))) % 210.47/210.76 (step @p66 :rule trans :premises (@p65 @p62)) % 210.47/210.76 (step @p67 :rule bool-impl-elim :args (@t7 @t37)) % 210.47/210.76 (step @p68 :rule trans :premises (@p67 @p66)) % 210.47/210.76 (step @p69 :rule cong :premises (@p68) :args (@t38)) % 210.47/210.76 (step @p70 :rule trans :premises (@p69 @p61)) % 210.47/210.76 (step @p71 :rule refl :args (tptp.binintersectI)) % 210.47/210.76 (step @p72 :rule cong :premises (@p71 @p70) :args (@t39)) % 210.47/210.76 (step @p73 :rule eq_resolve :premises (@p6 @p72)) % 210.47/210.76 (step @p74 :rule cong :premises (@p73 @p57) :args (@t78)) % 210.47/210.76 (step @p75 :rule aci_norm :args ((= (and @t67 true) @t67))) % 210.47/210.76 (step @p76 :rule evaluate :args (@t79)) % 210.47/210.76 (step @p77 :rule refl :args (@t67)) % 210.47/210.76 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t80)) % 210.47/210.76 (step @p79 :rule trans :premises (@p78 @p75)) % 210.47/210.76 (step @p80 :rule aci_norm :args ((= (and @t72 true) @t72))) % 210.47/210.76 (step @p81 :rule refl :args (@t72)) % 210.47/210.76 (step @p82 :rule nary_cong :premises (@p81 @p76) :args (@t81)) % 210.47/210.76 (step @p83 :rule trans :premises (@p82 @p80)) % 210.47/210.76 (step @p84 :rule refl :args (@t84)) % 210.47/210.76 (step @p85 :rule nary_cong :premises (@p84 @p83 @p79) :args (@t85)) % 210.47/210.76 (step @p86 :rule aci_norm :args ((= @t86 @t85))) % 210.47/210.76 (step @p87 :rule trans :premises (@p86 @p85)) % 210.47/210.76 (step @p88 :rule cong :premises (@p87) :args ((forall @t21 @t86))) % 210.47/210.76 (step @p89 :rule quant-var-elim-eq :args ((= (forall @t90 (or (not (= @t26 false)) @t84 @t89 @t88 @t26)) @t86))) % 210.47/210.76 (step @p90 :rule refl :args (@t26)) % 210.47/210.76 (step @p91 :rule refl :args (@t88)) % 210.47/210.76 (step @p92 :rule refl :args (@t89)) % 210.47/210.76 (step @p93 :rule refl :args (@t84)) % 210.47/210.76 (step @p94 :rule bool-eq-false :args (@t26)) % 210.47/210.76 (step @p95 :rule symm :premises (@p94)) % 210.47/210.76 (step @p96 :rule cong :premises (@p95) :args ((not @t87))) % 210.47/210.76 (step @p97 :rule bool-double-not-elim :args (@t26)) % 210.47/210.76 (step @p98 :rule symm :premises (@p97)) % 210.47/210.76 (step @p99 :rule trans :premises (@p98 @p96)) % 210.47/210.76 (step @p100 :rule nary_cong :premises (@p99 @p93 @p92 @p91 @p90) :args (@t91)) % 210.47/210.76 (step @p101 :rule aci_norm :args ((= @t92 @t91))) % 210.47/210.76 (step @p102 :rule trans :premises (@p101 @p100)) % 210.47/210.76 (step @p103 :rule cong :premises (@p102) :args (@t93)) % 210.47/210.76 (step @p104 :rule trans :premises (@p103 @p89)) % 210.47/210.76 (step @p105 :rule cong :premises (@p104) :args (@t94)) % 210.47/210.76 (step @p106 :rule quant-merge-prenex :args ((= @t94 (forall @t31 @t92)))) % 210.47/210.76 (step @p107 :rule symm :premises (@p106)) % 210.47/210.76 (step @p108 :rule trans :premises (@p107 @p105)) % 210.47/210.76 (step @p109 :rule trans :premises (@p108 @p88)) % 210.47/210.76 (step @p110 :rule refl :args (@t87)) % 210.47/210.76 (step @p111 :rule nary_cong :premises (@p16 @p110) :args (@t95)) % 210.47/210.76 (step @p112 :rule nary_cong :premises (@p48 @p110) :args (@t96)) % 210.47/210.76 (step @p113 :rule refl :args ((tptp.in @t4 @t19))) % 210.47/210.76 (step @p114 :rule refl :args (@t82)) % 210.47/210.76 (step @p115 :rule cong :premises (@p19 @p114) :args (@t83)) % 210.47/210.76 (step @p116 :rule trans :premises (@p115 @p113)) % 210.47/210.76 (step @p117 :rule ho_cong :premises (@p22 @p114)) % 210.47/210.76 (step @p118 :rule cong :premises (@p117 @p116) :args ((= (_ @t5 @t82) @t83))) % 210.47/210.76 (step @p119 :rule symm :premises (@p118)) % 210.47/210.76 (step @p120 :rule refl :args (@t20)) % 210.47/210.76 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 210.47/210.76 (step @p122 :rule refl :args (@t19)) % 210.47/210.76 (step @p123 :rule cong :premises (@p122 @p114) :args ((= @t19 @t82))) % 210.47/210.76 (step @p124 :rule symm :premises (@p123)) % 210.47/210.76 (step @p125 :rule eq_resolve :premises (@p122 @p124)) % 210.47/210.76 (step @p126 :rule ho_cong :premises (@p22 @p125)) % 210.47/210.76 (step @p127 :rule trans :premises (@p126 @p121)) % 210.47/210.76 (step @p128 :rule cong :premises (@p127) :args (@t97)) % 210.47/210.76 (step @p129 :rule nary_cong :premises (@p128 @p112 @p111 @p90) :args (@t98)) % 210.47/210.76 (step @p130 :rule cong :premises (@p129) :args ((forall @t31 @t98))) % 210.47/210.76 (step @p131 :rule trans :premises (@p130 @p109)) % 210.47/210.76 (step @p132 :rule aci_norm :args ((= (or @t97 @t99) @t98))) % 210.47/210.76 (step @p133 :rule aci_norm :args ((= (or @t96 (or @t95 @t26)) @t99))) % 210.47/210.76 (step @p134 :rule bool-implies-de-morgan :args (@t6 @t26)) % 210.47/210.76 (step @p135 :rule nary_cong :premises (@p134 @p90) :args ((or (not @t27) @t26))) % 210.47/210.76 (step @p136 :rule bool-impl-elim :args (@t27 @t26)) % 210.47/210.76 (step @p137 :rule trans :premises (@p136 @p135)) % 210.47/210.76 (step @p138 :rule bool-implies-de-morgan :args (@t7 @t26)) % 210.47/210.76 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t29) @t28))) % 210.47/210.76 (step @p140 :rule trans :premises (@p139 @p133)) % 210.47/210.76 (step @p141 :rule bool-impl-elim :args (@t29 @t28)) % 210.47/210.76 (step @p142 :rule trans :premises (@p141 @p140)) % 210.47/210.76 (step @p143 :rule refl :args (@t97)) % 210.47/210.76 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t97 @t30))) % 210.47/210.76 (step @p145 :rule trans :premises (@p144 @p132)) % 210.47/210.76 (step @p146 :rule bool-impl-elim :args (@t20 @t30)) % 210.47/210.76 (step @p147 :rule trans :premises (@p146 @p145)) % 210.47/210.76 (step @p148 :rule cong :premises (@p147) :args (@t32)) % 210.47/210.76 (step @p149 :rule trans :premises (@p148 @p131)) % 210.47/210.76 (step @p150 :rule refl :args (tptp.binunionEcases)) % 210.47/210.76 (step @p151 :rule cong :premises (@p150 @p149) :args (@t33)) % 210.47/210.76 (step @p152 :rule eq_resolve :premises (@p5 @p151)) % 210.47/210.76 (step @p153 :rule cong :premises (@p152 @p74) :args (@t100)) % 210.47/210.76 (step @p154 :rule nary_cong :premises (@p58 @p127) :args (@t101)) % 210.47/210.76 (step @p155 :rule cong :premises (@p154) :args ((forall @t21 @t101))) % 210.47/210.76 (step @p156 :rule bool-impl-elim :args (@t6 @t20)) % 210.47/210.76 (step @p157 :rule cong :premises (@p156) :args (@t24)) % 210.47/210.76 (step @p158 :rule trans :premises (@p157 @p155)) % 210.47/210.76 (step @p159 :rule refl :args (tptp.binunionIR)) % 210.47/210.76 (step @p160 :rule cong :premises (@p159 @p158) :args (@t25)) % 210.47/210.76 (step @p161 :rule eq_resolve :premises (@p4 @p160)) % 210.47/210.76 (step @p162 :rule cong :premises (@p161 @p153) :args (@t102)) % 210.47/210.76 (step @p163 :rule nary_cong :premises (@p59 @p127) :args (@t103)) % 210.47/210.76 (step @p164 :rule cong :premises (@p163) :args ((forall @t21 @t103))) % 210.47/210.76 (step @p165 :rule bool-impl-elim :args (@t7 @t20)) % 210.47/210.76 (step @p166 :rule cong :premises (@p165) :args (@t22)) % 210.47/210.76 (step @p167 :rule trans :premises (@p166 @p164)) % 210.47/210.76 (step @p168 :rule refl :args (tptp.binunionIL)) % 210.47/210.76 (step @p169 :rule cong :premises (@p168 @p167) :args (@t23)) % 210.47/210.76 (step @p170 :rule eq_resolve :premises (@p3 @p169)) % 210.47/210.76 (step @p171 :rule cong :premises (@p170 @p162) :args (@t104)) % 210.47/210.76 (step @p172 :rule refl :args (@t14)) % 210.47/210.76 (step 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(@t113)) % 210.47/210.77 (step @p202 :rule cong :premises (@p201) :args ((forall @t11 @t113))) % 210.47/210.77 (step @p203 :rule bool-impl-elim :args (@t111 @t3)) % 210.47/210.77 (step @p204 :rule cong :premises (@p203) :args ((forall @t11 (=> @t111 @t3)))) % 210.47/210.77 (step @p205 :rule trans :premises (@p204 @p202)) % 210.47/210.77 (step @p206 :rule refl :args (@t3)) % 210.47/210.77 (step @p207 :rule nary_cong :premises (@p59 @p16) :args (@t114)) % 210.47/210.77 (step @p208 :rule cong :premises (@p207) :args ((forall @t8 @t114))) % 210.47/210.77 (step @p209 :rule bool-impl-elim :args (@t7 @t6)) % 210.47/210.77 (step @p210 :rule cong :premises (@p209) :args (@t9)) % 210.47/210.77 (step @p211 :rule trans :premises (@p210 @p208)) % 210.47/210.77 (step @p212 :rule cong :premises (@p211 @p206) :args (@t10)) % 210.47/210.77 (step @p213 :rule cong :premises (@p212) :args (@t12)) % 210.47/210.77 (step @p214 :rule trans :premises (@p213 @p205)) % 210.47/210.77 (step @p215 :rule refl :args 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:rule eq_resolve :premises (@p434 @p433)) % 210.47/210.77 (step @p436 :rule reordering :premises (@p435) :args ((or @t219 @t222))) % 210.47/210.77 (step @p437 :rule cnf_or_neg :args (@t222 1)) % 210.47/210.77 (step @p438 :rule instantiate :premises (@p287) :args ((@list @t119 @t117 @t218))) % 210.47/210.77 (step @p439 :rule cnf_or_pos :args (@t224)) % 210.47/210.77 (step @p440 :rule reordering :premises (@p439) :args ((or @t221 @t223 (not @t224)))) % 210.47/210.77 (step @p441 :rule instantiate :premises (@p295) :args ((@list @t117 @t116 @t218))) % 210.47/210.77 (step @p442 :rule cnf_or_pos :args (@t226)) % 210.47/210.77 (step @p443 :rule reordering :premises (@p442) :args ((or @t220 @t225 (not @t226)))) % 210.47/210.77 (step @p444 :rule chain_m_resolution :premises (@p443 @p441 @p440 @p438 @p437 @p436) :args (@t222 @t227 (@list @t226 @t223 @t224 @t220 @t219))) % 210.47/210.77 (step @p445 :rule refl :args (@t228)) % 210.47/210.77 (step @p446 :rule bool-double-not-elim :args (@t217)) % 210.47/210.77 (step @p447 :rule nary_cong :premises (@p446 @p445) :args ((or (not @t229) @t228))) % 210.47/210.77 (assume-push @p537 @t229) % 210.47/210.77 (step @p449 :rule skolemize :premises (@p537)) % 210.47/210.77 (step-pop @p538 :rule scope :premises (@p449)) % 210.47/210.77 (step @p450 :rule process_scope :premises (@p538) :args (@t228)) % 210.47/210.77 (step @p452 :rule implies_elim :premises (@p450)) % 210.47/210.77 (step @p453 :rule eq_resolve :premises (@p452 @p447)) % 210.47/210.77 (step @p454 :rule chain_m_resolution :premises (@p453 @p444) :args (@t217 @t156 (@list @t222))) % 210.47/210.77 (assume-push @p539 @t217) % 210.47/210.77 (step @p456 :rule instantiate :premises (@p539) :args (@t230)) % 210.47/210.77 (step-pop @p540 :rule scope :premises (@p456)) % 210.47/210.77 (step @p457 :rule process_scope :premises (@p540) :args (@t233)) % 210.47/210.77 (step @p459 :rule implies_elim :premises (@p457)) % 210.47/210.77 (step @p460 :rule chain_m_resolution :premises (@p459 @p454) :args (@t233 @t156 (@list @t217))) % 210.47/210.77 (step @p461 :rule cnf_or_pos :args (@t233)) % 210.47/210.77 (step @p462 :rule reordering :premises (@p461) :args ((or @t214 @t232 (not @t233)))) % 210.47/210.77 (step @p463 :rule bool-double-not-elim :args (@t236)) % 210.47/210.77 (step @p464 :rule refl :args (@t239)) % 210.47/210.77 (step @p465 :rule nary_cong :premises (@p464 @p463) :args ((or @t239 (not @t238)))) % 210.47/210.77 (step @p466 :rule cnf_or_neg :args (@t239 0)) % 210.47/210.77 (step @p467 :rule eq_resolve :premises (@p466 @p465)) % 210.47/210.77 (step @p468 :rule reordering :premises (@p467) :args ((or @t236 @t239))) % 210.47/210.77 (step @p469 :rule cnf_or_neg :args (@t239 1)) % 210.47/210.77 (step @p470 :rule instantiate :premises (@p287) :args ((@list @t119 @t116 @t235))) % 210.47/210.77 (step @p471 :rule cnf_or_pos :args (@t241)) % 210.47/210.77 (step @p472 :rule reordering :premises (@p471) :args ((or @t238 @t240 (not @t241)))) % 210.47/210.77 (step @p473 :rule instantiate :premises (@p299) :args ((@list @t117 @t116 @t235))) % 210.47/210.77 (step @p474 :rule cnf_or_pos :args (@t243)) % 210.47/210.77 (step @p475 :rule reordering :premises (@p474) :args ((or @t237 @t242 (not @t243)))) % 210.47/210.77 (step @p476 :rule chain_m_resolution :premises (@p475 @p473 @p472 @p470 @p469 @p468) :args (@t239 @t227 (@list @t243 @t240 @t241 @t237 @t236))) % 210.47/210.77 (step @p477 :rule refl :args (@t244)) % 210.47/210.77 (step @p478 :rule bool-double-not-elim :args (@t234)) % 210.47/210.77 (step @p479 :rule nary_cong :premises (@p478 @p477) :args ((or (not @t245) @t244))) % 210.47/210.77 (assume-push @p541 @t245) % 210.47/210.77 (step @p481 :rule skolemize :premises (@p541)) % 210.47/210.77 (step-pop @p542 :rule scope :premises (@p481)) % 210.47/210.77 (step @p482 :rule process_scope :premises (@p542) :args (@t244)) % 210.47/210.77 (step @p484 :rule implies_elim :premises (@p482)) % 210.47/210.77 (step @p485 :rule eq_resolve :premises (@p484 @p479)) % 210.47/210.77 (step @p486 :rule chain_m_resolution :premises (@p485 @p476) :args (@t234 @t156 (@list @t239))) % 210.47/210.77 (assume-push @p543 @t234) % 210.47/210.77 (step @p488 :rule instantiate :premises (@p543) :args (@t230)) % 210.47/210.77 (step-pop @p544 :rule scope :premises (@p488)) % 210.47/210.77 (step @p489 :rule process_scope :premises (@p544) :args (@t248)) % 210.47/210.77 (step @p491 :rule implies_elim :premises (@p489)) % 210.47/210.77 (step @p492 :rule chain_m_resolution :premises (@p491 @p486) :args (@t248 @t156 (@list @t234))) % 210.47/210.77 (step @p493 :rule cnf_or_pos :args (@t248)) % 210.47/210.77 (step @p494 :rule reordering :premises (@p493) :args ((or @t214 @t247 (not @t248)))) % 210.47/210.77 (step @p495 :rule instantiate :premises (@p310) :args ((@list @t122 @t121 @t212))) % 210.47/210.77 (step @p496 :rule cnf_or_pos :args (@t249)) % 210.47/210.77 (step @p497 :rule reordering :premises (@p496) :args ((or @t215 @t231 @t246 (not @t249)))) % 210.47/210.77 (step @p498 :rule chain_m_resolution :premises (@p497 @p495 @p494 @p492 @p462 @p460 @p430 @p429) :args (@t216 @t204 (@list @t249 @t246 @t248 @t231 @t233 @t214 @t213))) % 210.47/210.77 (step @p499 :rule refl :args (@t250)) % 210.47/210.77 (step @p500 :rule bool-double-not-elim :args (@t211)) % 210.47/210.77 (step @p501 :rule nary_cong :premises (@p500 @p499) :args ((or (not @t251) @t250))) % 210.47/210.77 (assume-push @p545 @t251) % 210.47/210.77 (step @p503 :rule skolemize :premises (@p545)) % 210.47/210.77 (step-pop @p546 :rule scope :premises (@p503)) % 210.47/210.77 (step @p504 :rule process_scope :premises (@p546) :args (@t250)) % 210.47/210.77 (step @p506 :rule implies_elim :premises (@p504)) % 210.47/210.77 (step @p507 :rule eq_resolve :premises (@p506 @p501)) % 210.47/210.77 (step @p508 :rule chain_m_resolution :premises (@p507 @p498) :args (@t211 @t156 (@list @t216))) % 210.47/210.77 (assume-push @p547 @t211) % 210.47/210.77 (step @p510 :rule instantiate :premises (@p547) :args (@t207)) % 210.47/210.77 (step-pop @p548 :rule scope :premises (@p510)) % 210.47/210.77 (step @p511 :rule process_scope :premises (@p548) :args (@t253)) % 210.47/210.77 (step @p513 :rule implies_elim :premises (@p511)) % 210.47/210.77 (step @p514 :rule chain_m_resolution :premises (@p513 @p508) :args (@t253 @t156 (@list @t211))) % 210.47/210.77 (step @p515 :rule cnf_or_pos :args (@t253)) % 210.47/210.77 (step @p516 :rule reordering :premises (@p515) :args ((or @t172 @t252 (not @t253)))) % 210.47/210.77 (step @p517 :rule chain_m_resolution :premises (@p516 @p420 @p514) :args (@t252 @t159 (@list @t171 @t253))) % 210.47/210.77 (step @p518 :rule cnf_or_pos :args (@t256)) % 210.47/210.77 (step @p519 :rule reordering :premises (@p518) :args ((or @t170 @t255 @t254 (not @t256)))) % 210.47/210.77 (step @p520 false :rule chain_m_resolution :premises (@p519 @p517 @p423 @p348 @p347) :args (false (@list false false false true) (@list @t252 @t208 @t256 @t170))) % 210.47/210.77 ) % 210.47/210.77 % SZS output end Proof % 210.47/210.77 % cvc5 exiting %------------------------------------------------------------------------------