%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU789^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:53:12 AM UTC 2026 % Result : Theorem 0.16s 0.41s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SEU789^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 12:51:45 EDT 2026 % 0.08/0.26 % CPUTime : % 0.16/0.34 %----Proving TH0 % 0.16/0.41 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.41 % SZS status Theorem % 0.16/0.41 % SZS output start Proof % 0.16/0.41 ( % 0.16/0.41 (declare-sort $$unsorted 0) % 0.16/0.41 (declare-const tptp.breln1invE Bool) % 0.16/0.41 (declare-const tptp.breln1invI Bool) % 0.16/0.41 (declare-const tptp.breln1invprop Bool) % 0.16/0.41 (declare-const tptp.breln1invset (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.breln1 (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.subbreln1 Bool) % 0.16/0.41 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.setextsub Bool) % 0.16/0.41 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (define @t1 () (@var "B" $$unsorted)) % 0.16/0.41 (define @t2 () (@var "A" $$unsorted)) % 0.16/0.41 (define @t3 () (= @t2 @t1)) % 0.16/0.41 (define @t4 () (_ (_ tptp.subset @t1) @t2)) % 0.16/0.41 (define @t5 () (=> @t4 @t3)) % 0.16/0.41 (define @t6 () (_ (_ tptp.subset @t2) @t1)) % 0.16/0.41 (define @t7 () (@list @t2 @t1)) % 0.16/0.41 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.16/0.41 (define @t9 () (= tptp.setextsub @t8)) % 0.16/0.41 (define @t10 () (@var "S" $$unsorted)) % 0.16/0.41 (define @t11 () (@var "R" $$unsorted)) % 0.16/0.41 (define @t12 () (_ (_ tptp.subset @t11) @t10)) % 0.16/0.41 (define @t13 () (@var "Xy" $$unsorted)) % 0.16/0.41 (define @t14 () (@var "Xx" $$unsorted)) % 0.16/0.41 (define @t15 () (_ (_ tptp.kpair @t14) @t13)) % 0.16/0.41 (define @t16 () (_ tptp.in @t15)) % 0.16/0.41 (define @t17 () (_ @t16 @t10)) % 0.16/0.41 (define @t18 () (_ @t16 @t11)) % 0.16/0.41 (define @t19 () (=> @t18 @t17)) % 0.16/0.41 (define @t20 () (_ (_ tptp.in @t13) @t2)) % 0.16/0.41 (define @t21 () (@list @t13)) % 0.16/0.41 (define @t22 () (forall @t21 (=> @t20 @t19))) % 0.16/0.41 (define @t23 () (_ (_ tptp.in @t14) @t2)) % 0.16/0.41 (define @t24 () (=> @t23 @t22)) % 0.16/0.41 (define @t25 () (@list @t14)) % 0.16/0.41 (define @t26 () (forall @t25 @t24)) % 0.16/0.41 (define @t27 () (=> @t26 @t12)) % 0.16/0.41 (define @t28 () (_ tptp.breln1 @t2)) % 0.16/0.41 (define @t29 () (_ @t28 @t10)) % 0.16/0.41 (define @t30 () (=> @t29 @t27)) % 0.16/0.41 (define @t31 () (@list @t10)) % 0.16/0.41 (define @t32 () (forall @t31 @t30)) % 0.16/0.41 (define @t33 () (_ @t28 @t11)) % 0.16/0.41 (define @t34 () (=> @t33 @t32)) % 0.16/0.41 (define @t35 () (@list @t2 @t11)) % 0.16/0.41 (define @t36 () (forall @t35 @t34)) % 0.16/0.41 (define @t37 () (= tptp.subbreln1 @t36)) % 0.16/0.41 (define @t38 () (_ tptp.breln1invset @t2)) % 0.16/0.41 (define @t39 () (_ @t38 @t11)) % 0.16/0.41 (define @t40 () (_ @t28 @t39)) % 0.16/0.41 (define @t41 () (forall @t35 (=> @t33 @t40))) % 0.16/0.41 (define @t42 () (= tptp.breln1invprop @t41)) % 0.16/0.41 (define @t43 () (_ (_ tptp.kpair @t13) @t14)) % 0.16/0.41 (define @t44 () (_ (_ tptp.in @t43) @t39)) % 0.16/0.41 (define @t45 () (=> @t18 @t44)) % 0.16/0.41 (define @t46 () (forall @t21 (=> @t20 @t45))) % 0.16/0.41 (define @t47 () (=> @t23 @t46)) % 0.16/0.41 (define @t48 () (forall @t25 @t47)) % 0.16/0.41 (define @t49 () (=> @t33 @t48)) % 0.16/0.41 (define @t50 () (forall @t35 @t49)) % 0.16/0.41 (define @t51 () (= tptp.breln1invI @t50)) % 0.16/0.41 (define @t52 () (=> @t44 @t18)) % 0.16/0.41 (define @t53 () (forall @t21 (=> @t20 @t52))) % 0.16/0.41 (define @t54 () (=> @t23 @t53)) % 0.16/0.41 (define @t55 () (forall @t25 @t54)) % 0.16/0.41 (define @t56 () (=> @t33 @t55)) % 0.16/0.41 (define @t57 () (forall @t35 @t56)) % 0.16/0.41 (define @t58 () (= tptp.breln1invE @t57)) % 0.16/0.41 (define @t59 () (_ @t38 @t39)) % 0.16/0.41 (define @t60 () (= @t11 @t59)) % 0.16/0.41 (define @t61 () (forall @t35 (=> @t33 @t60))) % 0.16/0.41 (define @t62 () (=> tptp.breln1invE @t61)) % 0.16/0.41 (define @t63 () (=> tptp.breln1invI @t62)) % 0.16/0.41 (define @t64 () (=> tptp.breln1invprop @t63)) % 0.16/0.41 (define @t65 () (=> tptp.subbreln1 @t64)) % 0.16/0.41 (define @t66 () (=> tptp.setextsub @t65)) % 0.16/0.41 (define @t67 () (not @t66)) % 0.16/0.41 (define @t68 () (tptp.breln1invset @t2 @t11)) % 0.16/0.41 (define @t69 () (tptp.breln1invset @t2 @t68)) % 0.16/0.41 (define @t70 () (tptp.breln1 @t2 @t11)) % 0.16/0.41 (define @t71 () (not @t70)) % 0.16/0.41 (define @t72 () (forall @t35 (or @t71 (= @t11 @t69)))) % 0.16/0.41 (define @t73 () (@var "BOUND_VARIABLE_7694" $$unsorted)) % 0.16/0.41 (define @t74 () (@var "BOUND_VARIABLE_7692" $$unsorted)) % 0.16/0.41 (define @t75 () (tptp.in (tptp.kpair @t74 @t73) @t11)) % 0.16/0.41 (define @t76 () (not (tptp.in (tptp.kpair @t73 @t74) @t68))) % 0.16/0.41 (define @t77 () (not (tptp.in @t73 @t2))) % 0.16/0.41 (define @t78 () (not (tptp.in @t74 @t2))) % 0.16/0.41 (define @t79 () (or @t78 @t77 @t76 @t75)) % 0.16/0.41 (define @t80 () (or @t71 @t79)) % 0.16/0.41 (define @t81 () (forall (@list @t2 @t11 @t74 @t73) @t80)) % 0.16/0.41 (define @t82 () (@list @t74 @t73)) % 0.16/0.41 (define @t83 () (forall @t82 @t80)) % 0.16/0.41 (define @t84 () (forall @t82 @t79)) % 0.16/0.41 (define @t85 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 0.16/0.41 (define @t86 () (or @t71 @t84)) % 0.16/0.41 (define @t87 () (tptp.in (tptp.kpair @t14 @t85) @t11)) % 0.16/0.41 (define @t88 () (not (tptp.in (tptp.kpair @t85 @t14) @t68))) % 0.16/0.41 (define @t89 () (not (tptp.in @t85 @t2))) % 0.16/0.41 (define @t90 () (tptp.in @t14 @t2)) % 0.16/0.41 (define @t91 () (not @t90)) % 0.16/0.41 (define @t92 () (or @t91 @t89 @t88 @t87)) % 0.16/0.41 (define @t93 () (@list @t14 @t85)) % 0.16/0.41 (define @t94 () (forall @t93 @t92)) % 0.16/0.41 (define @t95 () (not @t33)) % 0.16/0.41 (define @t96 () (or @t95 @t94)) % 0.16/0.41 (define @t97 () (or @t89 @t88 @t87)) % 0.16/0.41 (define @t98 () (or @t91 @t97)) % 0.16/0.41 (define @t99 () (forall @t93 @t98)) % 0.16/0.41 (define @t100 () (@list @t85)) % 0.16/0.41 (define @t101 () (forall @t100 @t98)) % 0.16/0.41 (define @t102 () (forall @t100 @t97)) % 0.16/0.41 (define @t103 () (@list @t13)) % 0.16/0.41 (define @t104 () (or @t91 @t102)) % 0.16/0.41 (define @t105 () (tptp.kpair @t14 @t13)) % 0.16/0.41 (define @t106 () (tptp.in @t105 @t11)) % 0.16/0.41 (define @t107 () (tptp.kpair @t13 @t14)) % 0.16/0.41 (define @t108 () (tptp.in @t107 @t68)) % 0.16/0.41 (define @t109 () (tptp.in @t13 @t2)) % 0.16/0.41 (define @t110 () (not @t109)) % 0.16/0.41 (define @t111 () (forall @t21 (or @t110 (not @t108) @t106))) % 0.16/0.41 (define @t112 () (not @t23)) % 0.16/0.41 (define @t113 () (or @t112 @t111)) % 0.16/0.41 (define @t114 () (_ tptp.in @t105)) % 0.16/0.41 (define @t115 () (not @t44)) % 0.16/0.41 (define @t116 () (not @t20)) % 0.16/0.41 (define @t117 () (or @t116 @t115 @t18)) % 0.16/0.41 (define @t118 () (=> tptp.breln1invE @t72)) % 0.16/0.41 (define @t119 () (@var "BOUND_VARIABLE_7637" $$unsorted)) % 0.16/0.41 (define @t120 () (@var "BOUND_VARIABLE_7639" $$unsorted)) % 0.16/0.41 (define @t121 () (tptp.in (tptp.kpair @t120 @t119) @t68)) % 0.16/0.41 (define @t122 () (not (tptp.in (tptp.kpair @t119 @t120) @t11))) % 0.16/0.41 (define @t123 () (not (tptp.in @t120 @t2))) % 0.16/0.41 (define @t124 () (not (tptp.in @t119 @t2))) % 0.16/0.41 (define @t125 () (or @t124 @t123 @t122 @t121)) % 0.16/0.41 (define @t126 () (or @t71 @t125)) % 0.16/0.41 (define @t127 () (forall (@list @t2 @t11 @t119 @t120) @t126)) % 0.16/0.41 (define @t128 () (@list @t119 @t120)) % 0.16/0.41 (define @t129 () (forall @t128 @t126)) % 0.16/0.41 (define @t130 () (forall @t128 @t125)) % 0.16/0.41 (define @t131 () (@var "BOUND_VARIABLE_7616" $$unsorted)) % 0.16/0.41 (define @t132 () (or @t71 @t130)) % 0.16/0.41 (define @t133 () (tptp.in (tptp.kpair @t131 @t14) @t68)) % 0.16/0.41 (define @t134 () (not (tptp.in (tptp.kpair @t14 @t131) @t11))) % 0.16/0.41 (define @t135 () (not (tptp.in @t131 @t2))) % 0.16/0.41 (define @t136 () (or @t91 @t135 @t134 @t133)) % 0.16/0.41 (define @t137 () (@list @t14 @t131)) % 0.16/0.41 (define @t138 () (forall @t137 @t136)) % 0.16/0.41 (define @t139 () (or @t95 @t138)) % 0.16/0.41 (define @t140 () (or @t135 @t134 @t133)) % 0.16/0.41 (define @t141 () (or @t91 @t140)) % 0.16/0.41 (define @t142 () (forall @t137 @t141)) % 0.16/0.41 (define @t143 () (@list @t131)) % 0.16/0.41 (define @t144 () (forall @t143 @t141)) % 0.16/0.41 (define @t145 () (forall @t143 @t140)) % 0.16/0.41 (define @t146 () (or @t91 @t145)) % 0.16/0.41 (define @t147 () (not @t106)) % 0.16/0.41 (define @t148 () (forall @t21 (or @t110 @t147 @t108))) % 0.16/0.41 (define @t149 () (or @t112 @t148)) % 0.16/0.41 (define @t150 () (not @t18)) % 0.16/0.41 (define @t151 () (or @t116 @t150 @t44)) % 0.16/0.41 (define @t152 () (=> tptp.breln1invI @t118)) % 0.16/0.41 (define @t153 () (tptp.breln1 @t2 @t68)) % 0.16/0.41 (define @t154 () (or @t95 @t40)) % 0.16/0.41 (define @t155 () (=> tptp.breln1invprop @t152)) % 0.16/0.41 (define @t156 () (@var "BOUND_VARIABLE_7575" $$unsorted)) % 0.16/0.41 (define @t157 () (tptp.subset @t11 @t156)) % 0.16/0.41 (define @t158 () (@var "BOUND_VARIABLE_7539" $$unsorted)) % 0.16/0.41 (define @t159 () (tptp.kpair @t14 @t158)) % 0.16/0.41 (define @t160 () (not (tptp.in @t159 @t11))) % 0.16/0.41 (define @t161 () (not (tptp.in @t158 @t2))) % 0.16/0.41 (define @t162 () (@list @t14 @t158)) % 0.16/0.41 (define @t163 () (not (forall @t162 (or @t91 @t161 @t160 (tptp.in @t159 @t156))))) % 0.16/0.41 (define @t164 () (not (tptp.breln1 @t2 @t156))) % 0.16/0.41 (define @t165 () (or @t164 @t163 @t157)) % 0.16/0.41 (define @t166 () (or @t71 @t165)) % 0.16/0.41 (define @t167 () (forall (@list @t2 @t11 @t156) @t166)) % 0.16/0.41 (define @t168 () (@list @t156)) % 0.16/0.41 (define @t169 () (forall @t168 @t166)) % 0.16/0.41 (define @t170 () (forall @t168 @t165)) % 0.16/0.41 (define @t171 () (or @t71 @t170)) % 0.16/0.41 (define @t172 () (tptp.subset @t11 @t10)) % 0.16/0.41 (define @t173 () (tptp.in @t159 @t10)) % 0.16/0.41 (define @t174 () (or @t91 @t161 @t160 @t173)) % 0.16/0.41 (define @t175 () (forall @t162 @t174)) % 0.16/0.41 (define @t176 () (not @t175)) % 0.16/0.41 (define @t177 () (tptp.breln1 @t2 @t10)) % 0.16/0.41 (define @t178 () (forall @t31 (or (not @t177) @t176 @t172))) % 0.16/0.41 (define @t179 () (or @t95 @t178)) % 0.16/0.41 (define @t180 () (not @t29)) % 0.16/0.41 (define @t181 () (or @t180 @t176 @t12)) % 0.16/0.41 (define @t182 () (=> @t175 @t12)) % 0.16/0.41 (define @t183 () (or @t161 @t160 @t173)) % 0.16/0.41 (define @t184 () (or @t91 @t183)) % 0.16/0.41 (define @t185 () (forall @t162 @t184)) % 0.16/0.41 (define @t186 () (@list @t158)) % 0.16/0.41 (define @t187 () (forall @t186 @t184)) % 0.16/0.41 (define @t188 () (forall @t186 @t183)) % 0.16/0.41 (define @t189 () (or @t91 @t188)) % 0.16/0.41 (define @t190 () (tptp.in @t105 @t10)) % 0.16/0.41 (define @t191 () (forall @t21 (or @t110 @t147 @t190))) % 0.16/0.41 (define @t192 () (or @t112 @t191)) % 0.16/0.41 (define @t193 () (or @t116 @t150 @t17)) % 0.16/0.41 (define @t194 () (=> tptp.subbreln1 @t155)) % 0.16/0.41 (define @t195 () (tptp.subset @t1 @t2)) % 0.16/0.41 (define @t196 () (not @t4)) % 0.16/0.41 (define @t197 () (tptp.subset @t2 @t1)) % 0.16/0.41 (define @t198 () (not @t6)) % 0.16/0.41 (define @t199 () (or @t198 @t196 @t3)) % 0.16/0.41 (define @t200 () (=> tptp.setextsub @t194)) % 0.16/0.41 (define @t201 () (or @t95 @t60)) % 0.16/0.41 (define @t202 () (@quantifiers_skolemize @t72 1)) % 0.16/0.41 (define @t203 () (@quantifiers_skolemize @t72 0)) % 0.16/0.41 (define @t204 () (tptp.breln1invset @t203 @t202)) % 0.16/0.41 (define @t205 () (tptp.breln1invset @t203 @t204)) % 0.16/0.41 (define @t206 () (tptp.in @t159 @t202)) % 0.16/0.41 (define @t207 () (tptp.in @t159 @t205)) % 0.16/0.41 (define @t208 () (not (tptp.in @t158 @t203))) % 0.16/0.41 (define @t209 () (not (tptp.in @t14 @t203))) % 0.16/0.41 (define @t210 () (forall @t162 (or @t209 @t208 (not @t207) @t206))) % 0.16/0.41 (define @t211 () (@quantifiers_skolemize @t210 0)) % 0.16/0.41 (define @t212 () (tptp.in @t211 @t203)) % 0.16/0.41 (define @t213 () (@quantifiers_skolemize @t210 1)) % 0.16/0.41 (define @t214 () (tptp.kpair @t211 @t213)) % 0.16/0.41 (define @t215 () (tptp.in @t214 @t202)) % 0.16/0.41 (define @t216 () (tptp.in @t214 @t205)) % 0.16/0.41 (define @t217 () (not @t216)) % 0.16/0.41 (define @t218 () (tptp.in @t213 @t203)) % 0.16/0.41 (define @t219 () (not @t218)) % 0.16/0.41 (define @t220 () (not @t212)) % 0.16/0.41 (define @t221 () (or @t220 @t219 @t217 @t215)) % 0.16/0.41 (define @t222 () (tptp.breln1 @t203 @t202)) % 0.16/0.41 (define @t223 () (= @t202 @t205)) % 0.16/0.41 (define @t224 () (not @t222)) % 0.16/0.41 (define @t225 () (or @t224 @t223)) % 0.16/0.41 (define @t226 () (@list true)) % 0.16/0.41 (define @t227 () (@list @t225)) % 0.16/0.41 (define @t228 () (tptp.breln1 @t203 @t204)) % 0.16/0.41 (define @t229 () (or @t224 @t228)) % 0.16/0.41 (define @t230 () (@list false false)) % 0.16/0.41 (define @t231 () (tptp.in (tptp.kpair @t213 @t211) @t204)) % 0.16/0.41 (define @t232 () (not @t228)) % 0.16/0.41 (define @t233 () (or @t232 @t219 @t220 @t217 @t231)) % 0.16/0.41 (define @t234 () (not @t231)) % 0.16/0.41 (define @t235 () (or @t224 @t220 @t219 @t234 @t215)) % 0.16/0.41 (define @t236 () (@list false false false false false true false false false)) % 0.16/0.41 (define @t237 () (not @t221)) % 0.16/0.41 (define @t238 () (not @t210)) % 0.16/0.41 (define @t239 () (@list false)) % 0.16/0.41 (define @t240 () (tptp.breln1 @t203 @t205)) % 0.16/0.41 (define @t241 () (or @t232 @t240)) % 0.16/0.41 (define @t242 () (tptp.subset @t205 @t202)) % 0.16/0.41 (define @t243 () (not @t240)) % 0.16/0.41 (define @t244 () (or @t243 @t224 @t238 @t242)) % 0.16/0.41 (define @t245 () (@list false false false false)) % 0.16/0.41 (define @t246 () (forall @t162 (or @t209 @t208 (not @t206) @t207))) % 0.16/0.41 (define @t247 () (@quantifiers_skolemize @t246 0)) % 0.16/0.41 (define @t248 () (tptp.in @t247 @t203)) % 0.16/0.41 (define @t249 () (@quantifiers_skolemize @t246 1)) % 0.16/0.41 (define @t250 () (tptp.kpair @t247 @t249)) % 0.16/0.41 (define @t251 () (tptp.in @t250 @t205)) % 0.16/0.41 (define @t252 () (tptp.in @t250 @t202)) % 0.16/0.41 (define @t253 () (not @t252)) % 0.16/0.41 (define @t254 () (tptp.in @t249 @t203)) % 0.16/0.41 (define @t255 () (not @t254)) % 0.16/0.41 (define @t256 () (not @t248)) % 0.16/0.41 (define @t257 () (or @t256 @t255 @t253 @t251)) % 0.16/0.41 (define @t258 () (tptp.in (tptp.kpair @t249 @t247) @t204)) % 0.16/0.41 (define @t259 () (or @t224 @t256 @t255 @t253 @t258)) % 0.16/0.41 (define @t260 () (not @t258)) % 0.16/0.41 (define @t261 () (or @t232 @t255 @t256 @t260 @t251)) % 0.16/0.41 (define @t262 () (not @t257)) % 0.16/0.41 (define @t263 () (not @t246)) % 0.16/0.41 (define @t264 () (tptp.subset @t202 @t205)) % 0.16/0.41 (define @t265 () (or @t224 @t243 @t263 @t264)) % 0.16/0.41 (define @t266 () (not @t242)) % 0.16/0.41 (define @t267 () (not @t264)) % 0.16/0.41 (define @t268 () (or @t267 @t266 @t223)) % 0.16/0.41 (define @t269 () (not @t268)) % 0.16/0.41 (define @t270 () (forall @t7 (or (not @t197) (not @t195) @t3))) % 0.16/0.41 (assume @p1 @t9) % 0.16/0.41 (assume @p2 @t37) % 0.16/0.41 (assume @p3 @t42) % 0.16/0.41 (assume @p4 @t51) % 0.16/0.41 (assume @p5 @t58) % 0.16/0.41 (assume @p6 @t67) % 0.16/0.41 (assume @p7 true) % 0.16/0.41 (step @p8 :rule refl :args (@t72)) % 0.16/0.41 (step @p9 :rule aci_norm :args ((= @t80 (or @t71 @t78 @t77 @t76 @t75)))) % 0.16/0.41 (step @p10 :rule cong :premises (@p9) :args (@t81)) % 0.16/0.41 (step @p11 :rule quant-merge-prenex :args ((= (forall @t35 @t83) @t81))) % 0.16/0.41 (step @p12 :rule alpha_equiv :args (@t84 (@list @t74 @t73) (@list @t14 @t85))) % 0.16/0.41 (step @p13 :rule refl :args (@t71)) % 0.16/0.41 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t86)) % 0.16/0.41 (step @p15 :rule quant-miniscope-or :args ((= @t83 @t86))) % 0.16/0.41 (step @p16 :rule trans :premises (@p15 @p14)) % 0.16/0.41 (step @p17 :rule symm :premises (@p16)) % 0.16/0.41 (step @p18 :rule cong :premises (@p17) :args ((forall @t35 (or @t71 @t94)))) % 0.16/0.41 (step @p19 :rule trans :premises (@p18 @p11)) % 0.16/0.41 (step @p20 :rule trans :premises (@p19 @p10)) % 0.16/0.41 (step @p21 :rule refl :args (@t94)) % 0.16/0.41 (step @p22 :rule refl :args (@t70)) % 0.16/0.41 (step @p23 :rule refl :args (@t33)) % 0.16/0.41 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t33 @t70))) % 0.16/0.41 (step 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(step @p162 :rule trans :premises (@p161 @p158)) % 0.16/0.41 (step @p163 :rule bool-impl-elim :args (@t23 @t148)) % 0.16/0.41 (step @p164 :rule cong :premises (@p163) :args ((forall @t25 (=> @t23 @t148)))) % 0.16/0.41 (step @p165 :rule trans :premises (@p164 @p162)) % 0.16/0.41 (step @p166 :rule cong :premises (@p77) :args (@t150)) % 0.16/0.41 (step @p167 :rule nary_cong :premises (@p106 @p166 @p99) :args (@t151)) % 0.16/0.41 (step @p168 :rule cong :premises (@p167) :args ((forall @t21 @t151))) % 0.16/0.41 (step @p169 :rule aci_norm :args ((= (or @t116 (or @t150 @t44)) @t151))) % 0.16/0.41 (step @p170 :rule bool-impl-elim :args (@t18 @t44)) % 0.16/0.41 (step @p171 :rule nary_cong :premises (@p111 @p170) :args ((or @t116 @t45))) % 0.16/0.41 (step @p172 :rule trans :premises (@p171 @p169)) % 0.16/0.41 (step @p173 :rule bool-impl-elim :args (@t20 @t45)) % 0.16/0.41 (step @p174 :rule trans :premises (@p173 @p172)) % 0.16/0.41 (step @p175 :rule cong :premises (@p174) :args (@t46)) % 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(@t246 @t239 (@list @t257))) % 0.16/0.41 (step @p457 :rule cnf_or_pos :args (@t265)) % 0.16/0.41 (step @p458 :rule reordering :premises (@p457) :args ((or @t224 @t243 @t263 @t264 (not @t265)))) % 0.16/0.41 (step @p459 :rule chain_m_resolution :premises (@p458 @p392 @p417 @p456 @p421) :args (@t264 @t245 (@list @t222 @t240 @t246 @t265))) % 0.16/0.41 (step @p460 :rule cnf_or_neg :args (@t225 1)) % 0.16/0.41 (step @p461 :rule chain_m_resolution :premises (@p460 @p385) :args ((not @t223) @t226 @t227)) % 0.16/0.41 (step @p462 :rule cnf_or_pos :args (@t268)) % 0.16/0.41 (step @p463 :rule reordering :premises (@p462) :args ((or @t223 @t267 @t266 @t269))) % 0.16/0.41 (step @p464 :rule chain_m_resolution :premises (@p463 @p461 @p459 @p420) :args (@t269 (@list true false false) (@list @t223 @t264 @t242))) % 0.16/0.41 (assume-push @p475 @t270) % 0.16/0.41 (step @p466 :rule instantiate :premises (@p358) :args ((@list @t202 @t205))) % 0.16/0.41 (step-pop @p476 :rule scope :premises (@p466)) % 0.16/0.41 (step @p467 :rule process_scope :premises (@p476) :args (@t268)) % 0.16/0.41 (step @p469 :rule implies_elim :premises (@p467)) % 0.16/0.41 (step @p470 false :rule chain_m_resolution :premises (@p469 @p464 @p358) :args (false (@list true false) (@list @t268 @t270))) % 0.16/0.41 ) % 0.16/0.41 % SZS output end Proof % 0.16/0.41 % cvc5 exiting %------------------------------------------------------------------------------