%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU743^2 : 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 : n019.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 08:52:59 AM UTC 2026 % Result : Theorem 0.46s 0.65s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU743^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:50:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TH0 % 0.46/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.65 % SZS status Theorem % 0.46/0.65 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.inIntersectImpInIntersectUnions Bool) % 0.46/0.65 (declare-const tptp.binunionT_lem Bool) % 0.46/0.65 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.binintersectT_lem Bool) % 0.46/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.powersetTI1 Bool) % 0.46/0.65 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.46/0.65 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.65 (define @t2 () (_ tptp.powerset @t1)) % 0.46/0.65 (define @t3 () (@var "Y" $$unsorted)) % 0.46/0.65 (define @t4 () (@var "X" $$unsorted)) % 0.46/0.65 (define @t5 () (_ (_ tptp.binintersect @t4) @t3)) % 0.46/0.65 (define @t6 () (_ tptp.in @t5)) % 0.46/0.65 (define @t7 () (_ @t6 @t2)) % 0.46/0.65 (define @t8 () (_ tptp.in @t3)) % 0.46/0.65 (define @t9 () (_ @t8 @t2)) % 0.46/0.65 (define @t10 () (@list @t3)) % 0.46/0.65 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.46/0.65 (define @t12 () (_ tptp.in @t4)) % 0.46/0.65 (define @t13 () (_ @t12 @t2)) % 0.46/0.65 (define @t14 () (=> @t13 @t11)) % 0.46/0.65 (define @t15 () (@list @t1 @t4)) % 0.46/0.65 (define @t16 () (forall @t15 @t14)) % 0.46/0.65 (define @t17 () (= tptp.binintersectT_lem @t16)) % 0.46/0.65 (define @t18 () (_ tptp.binunion @t4)) % 0.46/0.65 (define @t19 () (_ @t18 @t3)) % 0.46/0.65 (define @t20 () (_ (_ tptp.in @t19) @t2)) % 0.46/0.65 (define @t21 () (forall @t10 (=> @t9 @t20))) % 0.46/0.65 (define @t22 () (=> @t13 @t21)) % 0.46/0.65 (define @t23 () (forall @t15 @t22)) % 0.46/0.65 (define @t24 () (= tptp.binunionT_lem @t23)) % 0.46/0.65 (define @t25 () (_ tptp.powerset @t3)) % 0.46/0.65 (define @t26 () (_ @t12 @t25)) % 0.46/0.65 (define @t27 () (@var "Xx" $$unsorted)) % 0.46/0.65 (define @t28 () (_ tptp.in @t27)) % 0.46/0.65 (define @t29 () (_ @t28 @t3)) % 0.46/0.65 (define @t30 () (_ @t28 @t4)) % 0.46/0.65 (define @t31 () (=> @t30 @t29)) % 0.46/0.65 (define @t32 () (_ @t28 @t1)) % 0.46/0.65 (define @t33 () (@list @t27)) % 0.46/0.65 (define @t34 () (forall @t33 (=> @t32 @t31))) % 0.46/0.65 (define @t35 () (=> @t34 @t26)) % 0.46/0.65 (define @t36 () (=> @t9 @t35)) % 0.46/0.65 (define @t37 () (forall @t10 @t36)) % 0.46/0.65 (define @t38 () (=> @t13 @t37)) % 0.46/0.65 (define @t39 () (forall @t15 @t38)) % 0.46/0.65 (define @t40 () (= tptp.powersetTI1 @t39)) % 0.46/0.66 (define @t41 () (@var "Z" $$unsorted)) % 0.46/0.66 (define @t42 () (_ (_ tptp.binunion @t3) @t41)) % 0.46/0.66 (define @t43 () (_ @t18 @t41)) % 0.46/0.66 (define @t44 () (_ (_ tptp.binintersect @t43) @t42)) % 0.46/0.66 (define @t45 () (_ @t28 @t44)) % 0.46/0.66 (define @t46 () (_ @t28 @t5)) % 0.46/0.66 (define @t47 () (=> @t46 @t45)) % 0.46/0.66 (define @t48 () (forall @t33 (=> @t32 @t47))) % 0.46/0.66 (define @t49 () (_ tptp.in @t41)) % 0.46/0.66 (define @t50 () (_ @t49 @t2)) % 0.46/0.66 (define @t51 () (=> @t50 @t48)) % 0.46/0.66 (define @t52 () (@list @t41)) % 0.46/0.66 (define @t53 () (forall @t52 @t51)) % 0.46/0.66 (define @t54 () (=> @t9 @t53)) % 0.46/0.66 (define @t55 () (forall @t10 @t54)) % 0.46/0.66 (define @t56 () (=> @t13 @t55)) % 0.46/0.66 (define @t57 () (forall @t15 @t56)) % 0.46/0.66 (define @t58 () (= tptp.inIntersectImpInIntersectUnions @t57)) % 0.46/0.66 (define @t59 () (_ tptp.powerset @t44)) % 0.46/0.66 (define @t60 () (_ @t6 @t59)) % 0.46/0.66 (define @t61 () (forall @t52 (=> @t50 @t60))) % 0.46/0.66 (define @t62 () (=> @t9 @t61)) % 0.46/0.66 (define @t63 () (forall @t10 @t62)) % 0.46/0.66 (define @t64 () (=> @t13 @t63)) % 0.46/0.66 (define @t65 () (forall @t15 @t64)) % 0.46/0.66 (define @t66 () (=> tptp.inIntersectImpInIntersectUnions @t65)) % 0.46/0.66 (define @t67 () (=> tptp.powersetTI1 @t66)) % 0.46/0.66 (define @t68 () (=> tptp.binunionT_lem @t67)) % 0.46/0.66 (define @t69 () (=> tptp.binintersectT_lem @t68)) % 0.46/0.66 (define @t70 () (not @t69)) % 0.46/0.66 (define @t71 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 0.46/0.66 (define @t72 () (@var "BOUND_VARIABLE_7743" $$unsorted)) % 0.46/0.66 (define @t73 () (tptp.in (tptp.binintersect @t4 @t72) (tptp.powerset (tptp.binintersect (tptp.binunion @t4 @t71) (tptp.binunion @t72 @t71))))) % 0.46/0.66 (define @t74 () (tptp.powerset @t1)) % 0.46/0.66 (define @t75 () (not (tptp.in @t71 @t74))) % 0.46/0.66 (define @t76 () (not (tptp.in @t72 @t74))) % 0.46/0.66 (define @t77 () (tptp.in @t4 @t74)) % 0.46/0.66 (define @t78 () (not @t77)) % 0.46/0.66 (define @t79 () (or @t78 @t76 @t75 @t73)) % 0.46/0.66 (define @t80 () (@list @t1 @t4 @t72 @t71)) % 0.46/0.66 (define @t81 () (forall @t80 @t79)) % 0.46/0.66 (define @t82 () (@var "BOUND_VARIABLE_7683" $$unsorted)) % 0.46/0.66 (define @t83 () (@var "BOUND_VARIABLE_7681" $$unsorted)) % 0.46/0.66 (define @t84 () (@var "BOUND_VARIABLE_7685" $$unsorted)) % 0.46/0.66 (define @t85 () (tptp.in @t84 (tptp.binintersect (tptp.binunion @t4 @t82) (tptp.binunion @t83 @t82)))) % 0.46/0.66 (define @t86 () (not (tptp.in @t84 (tptp.binintersect @t4 @t83)))) % 0.46/0.66 (define @t87 () (not (tptp.in @t84 @t1))) % 0.46/0.66 (define @t88 () (not (tptp.in @t82 @t74))) % 0.46/0.66 (define @t89 () (not (tptp.in @t83 @t74))) % 0.46/0.66 (define @t90 () (or @t78 @t89 @t88 @t87 @t86 @t85)) % 0.46/0.66 (define @t91 () (or @t89 @t88 @t87 @t86 @t85)) % 0.46/0.66 (define @t92 () (or @t78 @t91)) % 0.46/0.66 (define @t93 () (@list @t1 @t4 @t83 @t82 @t84)) % 0.46/0.66 (define @t94 () (forall @t93 @t92)) % 0.46/0.66 (define @t95 () (@list @t83 @t82 @t84)) % 0.46/0.66 (define @t96 () (forall @t95 @t92)) % 0.46/0.66 (define @t97 () (forall @t95 @t91)) % 0.46/0.66 (define @t98 () (@var "BOUND_VARIABLE_7657" $$unsorted)) % 0.46/0.66 (define @t99 () (@var "BOUND_VARIABLE_7655" $$unsorted)) % 0.46/0.66 (define @t100 () (or @t78 @t97)) % 0.46/0.66 (define @t101 () (tptp.in @t98 (tptp.binintersect (tptp.binunion @t4 @t99) (tptp.binunion @t3 @t99)))) % 0.46/0.66 (define @t102 () (tptp.binintersect @t4 @t3)) % 0.46/0.66 (define @t103 () (not (tptp.in @t98 @t102))) % 0.46/0.66 (define @t104 () (not (tptp.in @t98 @t1))) % 0.46/0.66 (define @t105 () (not (tptp.in @t99 @t74))) % 0.46/0.66 (define @t106 () (tptp.in @t3 @t74)) % 0.46/0.66 (define @t107 () (not @t106)) % 0.46/0.66 (define @t108 () (or @t107 @t105 @t104 @t103 @t101)) % 0.46/0.66 (define @t109 () (@list @t3 @t99 @t98)) % 0.46/0.66 (define @t110 () (forall @t109 @t108)) % 0.46/0.66 (define @t111 () (not @t13)) % 0.46/0.66 (define @t112 () (or @t111 @t110)) % 0.46/0.66 (define @t113 () (or @t105 @t104 @t103 @t101)) % 0.46/0.66 (define @t114 () (or @t107 @t113)) % 0.46/0.66 (define @t115 () (forall @t109 @t114)) % 0.46/0.66 (define @t116 () (@list @t99 @t98)) % 0.46/0.66 (define @t117 () (forall @t116 @t114)) % 0.46/0.66 (define @t118 () (forall @t116 @t113)) % 0.46/0.66 (define @t119 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 0.46/0.66 (define @t120 () (or @t107 @t118)) % 0.46/0.66 (define @t121 () (tptp.binunion @t3 @t41)) % 0.46/0.66 (define @t122 () (tptp.binunion @t4 @t41)) % 0.46/0.66 (define @t123 () (tptp.binintersect @t122 @t121)) % 0.46/0.66 (define @t124 () (tptp.in @t119 @t123)) % 0.46/0.66 (define @t125 () (not (tptp.in @t119 @t102))) % 0.46/0.66 (define @t126 () (not (tptp.in @t119 @t1))) % 0.46/0.66 (define @t127 () (tptp.in @t41 @t74)) % 0.46/0.66 (define @t128 () (not @t127)) % 0.46/0.66 (define @t129 () (or @t128 @t126 @t125 @t124)) % 0.46/0.66 (define @t130 () (@list @t41 @t119)) % 0.46/0.66 (define @t131 () (forall @t130 @t129)) % 0.46/0.66 (define @t132 () (not @t9)) % 0.46/0.66 (define @t133 () (or @t132 @t131)) % 0.46/0.66 (define @t134 () (or @t126 @t125 @t124)) % 0.46/0.66 (define @t135 () (or @t128 @t134)) % 0.46/0.66 (define @t136 () (forall @t130 @t135)) % 0.46/0.66 (define @t137 () (@list @t119)) % 0.46/0.66 (define @t138 () (forall @t137 @t135)) % 0.46/0.66 (define @t139 () (forall @t137 @t134)) % 0.46/0.66 (define @t140 () (or @t128 @t139)) % 0.46/0.66 (define @t141 () (tptp.in @t27 @t123)) % 0.46/0.66 (define @t142 () (tptp.in @t27 @t102)) % 0.46/0.66 (define @t143 () (tptp.in @t27 @t1)) % 0.46/0.66 (define @t144 () (not @t143)) % 0.46/0.66 (define @t145 () (forall @t33 (or @t144 (not @t142) @t141))) % 0.46/0.66 (define @t146 () (not @t50)) % 0.46/0.66 (define @t147 () (or @t146 @t145)) % 0.46/0.66 (define @t148 () (not @t46)) % 0.46/0.66 (define @t149 () (not @t32)) % 0.46/0.66 (define @t150 () (or @t149 @t148 @t45)) % 0.46/0.66 (define @t151 () (=> tptp.inIntersectImpInIntersectUnions @t81)) % 0.46/0.66 (define @t152 () (@var "BOUND_VARIABLE_7592" $$unsorted)) % 0.46/0.66 (define @t153 () (tptp.in @t4 (tptp.powerset @t152))) % 0.46/0.66 (define @t154 () (tptp.in @t27 @t4)) % 0.46/0.66 (define @t155 () (not @t154)) % 0.46/0.66 (define @t156 () (not (forall @t33 (or @t144 @t155 (tptp.in @t27 @t152))))) % 0.46/0.66 (define @t157 () (not (tptp.in @t152 @t74))) % 0.46/0.66 (define @t158 () (or @t157 @t156 @t153)) % 0.46/0.66 (define @t159 () (or @t78 @t158)) % 0.46/0.66 (define @t160 () (forall (@list @t1 @t4 @t152) @t159)) % 0.46/0.66 (define @t161 () (@list @t152)) % 0.46/0.66 (define @t162 () (forall @t161 @t159)) % 0.46/0.66 (define @t163 () (forall @t161 @t158)) % 0.46/0.66 (define @t164 () (@list @t3)) % 0.46/0.66 (define @t165 () (or @t78 @t163)) % 0.46/0.66 (define @t166 () (tptp.powerset @t3)) % 0.46/0.66 (define @t167 () (tptp.in @t4 @t166)) % 0.46/0.66 (define @t168 () (tptp.in @t27 @t3)) % 0.46/0.66 (define @t169 () (forall @t33 (or @t144 @t155 @t168))) % 0.46/0.66 (define @t170 () (not @t169)) % 0.46/0.66 (define @t171 () (forall @t10 (or @t107 @t170 @t167))) % 0.46/0.66 (define @t172 () (or @t111 @t171)) % 0.46/0.66 (define @t173 () (or @t132 @t170 @t26)) % 0.46/0.66 (define @t174 () (=> @t169 @t26)) % 0.46/0.66 (define @t175 () (not @t30)) % 0.46/0.66 (define @t176 () (or @t149 @t175 @t29)) % 0.46/0.66 (define @t177 () (=> tptp.powersetTI1 @t151)) % 0.46/0.66 (define @t178 () (@var "BOUND_VARIABLE_7548" $$unsorted)) % 0.46/0.66 (define @t179 () (tptp.in (tptp.binunion @t4 @t178) @t74)) % 0.46/0.66 (define @t180 () (not (tptp.in @t178 @t74))) % 0.46/0.66 (define @t181 () (or @t180 @t179)) % 0.46/0.66 (define @t182 () (or @t78 @t181)) % 0.46/0.66 (define @t183 () (forall (@list @t1 @t4 @t178) @t182)) % 0.46/0.66 (define @t184 () (@list @t178)) % 0.46/0.66 (define @t185 () (forall @t184 @t182)) % 0.46/0.66 (define @t186 () (forall @t184 @t181)) % 0.46/0.66 (define @t187 () (or @t78 @t186)) % 0.46/0.66 (define @t188 () (tptp.binunion @t4 @t3)) % 0.46/0.66 (define @t189 () (tptp.in @t188 @t74)) % 0.46/0.66 (define @t190 () (forall @t10 (or @t107 @t189))) % 0.46/0.66 (define @t191 () (or @t111 @t190)) % 0.46/0.66 (define @t192 () (or @t132 @t20)) % 0.46/0.66 (define @t193 () (=> tptp.binunionT_lem @t177)) % 0.46/0.66 (define @t194 () (@var "BOUND_VARIABLE_7520" $$unsorted)) % 0.46/0.66 (define @t195 () (tptp.in (tptp.binintersect @t4 @t194) @t74)) % 0.46/0.66 (define @t196 () (not (tptp.in @t194 @t74))) % 0.46/0.66 (define @t197 () (or @t196 @t195)) % 0.46/0.66 (define @t198 () (or @t78 @t197)) % 0.46/0.66 (define @t199 () (forall (@list @t1 @t4 @t194) @t198)) % 0.46/0.66 (define @t200 () (@list @t194)) % 0.46/0.66 (define @t201 () (forall @t200 @t198)) % 0.46/0.66 (define @t202 () (forall @t200 @t197)) % 0.46/0.66 (define @t203 () (or @t78 @t202)) % 0.46/0.66 (define @t204 () (tptp.in @t102 @t74)) % 0.46/0.66 (define @t205 () (forall @t10 (or @t107 @t204))) % 0.46/0.66 (define @t206 () (or @t111 @t205)) % 0.46/0.66 (define @t207 () (_ tptp.in @t102)) % 0.46/0.66 (define @t208 () (or @t132 @t7)) % 0.46/0.66 (define @t209 () (=> tptp.binintersectT_lem @t193)) % 0.46/0.66 (define @t210 () (or @t76 @t75 @t73)) % 0.46/0.66 (define @t211 () (or @t78 @t210)) % 0.46/0.66 (define @t212 () (forall @t80 @t211)) % 0.46/0.66 (define @t213 () (@list @t72 @t71)) % 0.46/0.66 (define @t214 () (forall @t213 @t211)) % 0.46/0.66 (define @t215 () (forall @t213 @t210)) % 0.46/0.66 (define @t216 () (@var "BOUND_VARIABLE_7722" $$unsorted)) % 0.46/0.66 (define @t217 () (or @t78 @t215)) % 0.46/0.66 (define @t218 () (tptp.in @t102 (tptp.powerset (tptp.binintersect (tptp.binunion @t4 @t216) (tptp.binunion @t3 @t216))))) % 0.46/0.66 (define @t219 () (not (tptp.in @t216 @t74))) % 0.46/0.66 (define @t220 () (or @t107 @t219 @t218)) % 0.46/0.66 (define @t221 () (@list @t3 @t216)) % 0.46/0.66 (define @t222 () (forall @t221 @t220)) % 0.46/0.66 (define @t223 () (or @t111 @t222)) % 0.46/0.66 (define @t224 () (or @t219 @t218)) % 0.46/0.66 (define @t225 () (or @t107 @t224)) % 0.46/0.66 (define @t226 () (forall @t221 @t225)) % 0.46/0.66 (define @t227 () (@list @t216)) % 0.46/0.66 (define @t228 () (forall @t227 @t225)) % 0.46/0.66 (define @t229 () (forall @t227 @t224)) % 0.46/0.66 (define @t230 () (or @t107 @t229)) % 0.46/0.66 (define @t231 () (tptp.powerset @t123)) % 0.46/0.66 (define @t232 () (tptp.in @t102 @t231)) % 0.46/0.66 (define @t233 () (forall @t52 (or @t128 @t232))) % 0.46/0.66 (define @t234 () (or @t132 @t233)) % 0.46/0.66 (define @t235 () (or @t146 @t60)) % 0.46/0.66 (define @t236 () (@quantifiers_skolemize @t81 3)) % 0.46/0.66 (define @t237 () (@quantifiers_skolemize @t81 2)) % 0.46/0.66 (define @t238 () (tptp.binunion @t237 @t236)) % 0.46/0.66 (define @t239 () (@quantifiers_skolemize @t81 1)) % 0.46/0.66 (define @t240 () (tptp.binunion @t239 @t236)) % 0.46/0.66 (define @t241 () (tptp.binintersect @t240 @t238)) % 0.46/0.66 (define @t242 () (tptp.binintersect @t239 @t237)) % 0.46/0.66 (define @t243 () (@quantifiers_skolemize @t81 0)) % 0.46/0.66 (define @t244 () (tptp.powerset @t243)) % 0.46/0.66 (define @t245 () (tptp.in @t236 @t244)) % 0.46/0.66 (define @t246 () (tptp.in @t242 (tptp.powerset @t241))) % 0.46/0.66 (define @t247 () (not @t245)) % 0.46/0.66 (define @t248 () (tptp.in @t237 @t244)) % 0.46/0.66 (define @t249 () (not @t248)) % 0.46/0.66 (define @t250 () (tptp.in @t239 @t244)) % 0.46/0.66 (define @t251 () (not @t250)) % 0.46/0.66 (define @t252 () (or @t251 @t249 @t247 @t246)) % 0.46/0.66 (define @t253 () (@list true)) % 0.46/0.66 (define @t254 () (@list @t252)) % 0.46/0.66 (define @t255 () (tptp.in @t238 @t244)) % 0.46/0.66 (define @t256 () (or @t249 @t247 @t255)) % 0.46/0.66 (define @t257 () (@list false false false)) % 0.46/0.66 (define @t258 () (tptp.in @t240 @t244)) % 0.46/0.66 (define @t259 () (or @t251 @t247 @t258)) % 0.46/0.66 (define @t260 () (tptp.in @t241 @t244)) % 0.46/0.66 (define @t261 () (not @t255)) % 0.46/0.66 (define @t262 () (not @t258)) % 0.46/0.66 (define @t263 () (or @t262 @t261 @t260)) % 0.46/0.66 (define @t264 () (tptp.in @t242 @t244)) % 0.46/0.66 (define @t265 () (or @t251 @t249 @t264)) % 0.46/0.66 (define @t266 () (forall @t33 (or (not (tptp.in @t27 @t243)) (not (tptp.in @t27 @t242)) (tptp.in @t27 @t241)))) % 0.46/0.66 (define @t267 () (not @t266)) % 0.46/0.66 (define @t268 () (not @t260)) % 0.46/0.66 (define @t269 () (not @t264)) % 0.46/0.66 (define @t270 () (or @t269 @t268 @t267 @t246)) % 0.46/0.66 (define @t271 () (@quantifiers_skolemize @t266 0)) % 0.46/0.66 (define @t272 () (tptp.in @t271 @t241)) % 0.46/0.66 (define @t273 () (tptp.in @t271 @t242)) % 0.46/0.66 (define @t274 () (not @t273)) % 0.46/0.66 (define @t275 () (tptp.in @t271 @t243)) % 0.46/0.66 (define @t276 () (not @t275)) % 0.46/0.66 (define @t277 () (or @t276 @t274 @t272)) % 0.46/0.66 (define @t278 () (@list @t277)) % 0.46/0.66 (define @t279 () (or @t251 @t249 @t247 @t276 @t274 @t272)) % 0.46/0.66 (define @t280 () (not @t279)) % 0.46/0.66 (define @t281 () (forall @t93 @t90)) % 0.46/0.66 (assume @p1 @t17) % 0.46/0.66 (assume @p2 @t24) % 0.46/0.66 (assume @p3 @t40) % 0.46/0.66 (assume @p4 @t58) % 0.46/0.66 (assume @p5 @t70) % 0.46/0.66 (assume @p6 true) % 0.46/0.66 (step @p7 :rule refl :args (@t81)) % 0.46/0.66 (step @p8 :rule aci_norm :args ((= @t92 @t90))) % 0.46/0.66 (step @p9 :rule cong :premises (@p8) :args (@t94)) % 0.46/0.66 (step @p10 :rule quant-merge-prenex :args ((= (forall @t15 @t96) @t94))) % 0.46/0.66 (step @p11 :rule alpha_equiv :args (@t97 (@list @t83 @t82 @t84) (@list @t3 @t99 @t98))) % 0.46/0.66 (step @p12 :rule refl :args (@t78)) % 0.46/0.66 (step @p13 :rule 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0.46/0.66 (step @p461 :rule chain_m_resolution :premises (@p460 @p448) :args (@t248 @t253 @t254)) % 0.46/0.66 (step @p462 :rule cnf_or_pos :args (@t256)) % 0.46/0.66 (step @p463 :rule reordering :premises (@p462) :args ((or @t249 @t247 @t255 (not @t256)))) % 0.46/0.66 (step @p464 :rule chain_m_resolution :premises (@p463 @p461 @p455 @p446) :args (@t255 @t257 (@list @t248 @t245 @t256))) % 0.46/0.66 (step @p465 :rule instantiate :premises (@p445) :args ((@list @t243 @t239 @t236))) % 0.46/0.66 (step @p466 :rule bool-double-not-elim :args (@t250)) % 0.46/0.66 (step @p467 :rule nary_cong :premises (@p450 @p466) :args ((or @t252 (not @t251)))) % 0.46/0.66 (step @p468 :rule cnf_or_neg :args (@t252 0)) % 0.46/0.66 (step @p469 :rule eq_resolve :premises (@p468 @p467)) % 0.46/0.66 (step @p470 :rule reordering :premises (@p469) :args ((or @t250 @t252))) % 0.46/0.66 (step @p471 :rule chain_m_resolution :premises (@p470 @p448) :args (@t250 @t253 @t254)) % 0.46/0.66 (step @p472 :rule cnf_or_pos :args (@t259)) % 0.46/0.66 (step @p473 :rule reordering :premises (@p472) :args ((or @t251 @t247 @t258 (not @t259)))) % 0.46/0.66 (step @p474 :rule chain_m_resolution :premises (@p473 @p471 @p455 @p465) :args (@t258 @t257 (@list @t250 @t245 @t259))) % 0.46/0.66 (step @p475 :rule cnf_or_pos :args (@t263)) % 0.46/0.66 (step @p476 :rule reordering :premises (@p475) :args ((or @t262 @t261 @t260 (not @t263)))) % 0.46/0.66 (step @p477 :rule chain_m_resolution :premises (@p476 @p474 @p464 @p444) :args (@t260 @t257 (@list @t258 @t255 @t263))) % 0.46/0.66 (step @p478 :rule instantiate :premises (@p443) :args ((@list @t243 @t239 @t237))) % 0.46/0.66 (step @p479 :rule cnf_or_pos :args (@t265)) % 0.46/0.66 (step @p480 :rule reordering :premises (@p479) :args ((or @t251 @t249 @t264 (not @t265)))) % 0.46/0.66 (step @p481 :rule chain_m_resolution :premises (@p480 @p471 @p461 @p478) :args (@t264 @t257 (@list @t250 @t248 @t265))) % 0.46/0.66 (step @p482 :rule cnf_or_neg :args (@t252 3)) % 0.46/0.66 (step @p483 :rule chain_m_resolution :premises (@p482 @p448) :args ((not @t246) @t253 @t254)) % 0.46/0.66 (step @p484 :rule cnf_or_pos :args (@t270)) % 0.46/0.66 (step @p485 :rule reordering :premises (@p484) :args ((or @t246 @t269 @t268 @t267 (not @t270)))) % 0.46/0.66 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p481 @p477 @p442) :args (@t267 (@list true false false false) (@list @t246 @t264 @t260 @t270))) % 0.46/0.66 (step @p487 :rule skolemize :premises (@p486)) % 0.46/0.66 (step @p488 :rule cnf_or_neg :args (@t277 2)) % 0.46/0.66 (step @p489 :rule chain_m_resolution :premises (@p488 @p487) :args ((not @t272) @t253 @t278)) % 0.46/0.66 (step @p490 :rule bool-double-not-elim :args (@t273)) % 0.46/0.66 (step @p491 :rule refl :args (@t277)) % 0.46/0.66 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or @t277 (not @t274)))) % 0.46/0.66 (step @p493 :rule cnf_or_neg :args (@t277 1)) % 0.46/0.66 (step @p494 :rule eq_resolve :premises (@p493 @p492)) % 0.46/0.66 (step @p495 :rule reordering :premises (@p494) :args ((or @t273 @t277))) % 0.46/0.66 (step @p496 :rule chain_m_resolution :premises (@p495 @p487) :args (@t273 @t253 @t278)) % 0.46/0.66 (step @p497 :rule bool-double-not-elim :args (@t275)) % 0.46/0.66 (step @p498 :rule nary_cong :premises (@p491 @p497) :args ((or @t277 (not @t276)))) % 0.46/0.66 (step @p499 :rule cnf_or_neg :args (@t277 0)) % 0.46/0.66 (step @p500 :rule eq_resolve :premises (@p499 @p498)) % 0.46/0.66 (step @p501 :rule reordering :premises (@p500) :args ((or @t275 @t277))) % 0.46/0.66 (step @p502 :rule chain_m_resolution :premises (@p501 @p487) :args (@t275 @t253 @t278)) % 0.46/0.66 (step @p503 :rule cnf_or_pos :args (@t279)) % 0.46/0.66 (step @p504 :rule reordering :premises (@p503) :args ((or @t251 @t249 @t247 @t276 @t274 @t272 @t280))) % 0.46/0.66 (step @p505 :rule chain_m_resolution :premises (@p504 @p471 @p461 @p455 @p502 @p496 @p489) :args (@t280 (@list false false false false false true) (@list @t250 @t248 @t245 @t275 @t273 @t272))) % 0.46/0.66 (assume-push @p512 @t281) % 0.46/0.66 (step @p507 :rule instantiate :premises (@p440) :args ((@list @t243 @t239 @t237 @t236 @t271))) % 0.46/0.66 (step-pop @p513 :rule scope :premises (@p507)) % 0.46/0.66 (step @p508 :rule process_scope :premises (@p513) :args (@t279)) % 0.46/0.66 (step @p510 :rule implies_elim :premises (@p508)) % 0.46/0.66 (step @p511 false :rule chain_m_resolution :premises (@p510 @p505 @p440) :args (false (@list true false) (@list @t279 @t281))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------