%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU754^2 : 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 : n026.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 08:53:03 AM UTC 2026 % Result : Theorem 0.40s 0.63s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU754^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n026.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:50:55 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.51 %----Proving TH0 % 0.40/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.63 % SZS status Theorem % 0.40/0.63 % SZS output start Proof % 0.40/0.63 ( % 0.40/0.63 (declare-sort $$unsorted 0) % 0.40/0.63 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.binunionTILcontra Bool) % 0.40/0.63 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.setminusI Bool) % 0.40/0.63 (declare-const tptp.binunionTIRcontra Bool) % 0.40/0.63 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.binintersectI Bool) % 0.40/0.63 (declare-const tptp.setminusER Bool) % 0.40/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.63 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.63 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.63 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.63 (define @t3 () (_ (_ tptp.binintersect @t2) @t1)) % 0.40/0.63 (define @t4 () (@var "Xx" $$unsorted)) % 0.40/0.63 (define @t5 () (_ tptp.in @t4)) % 0.40/0.63 (define @t6 () (_ @t5 @t3)) % 0.40/0.63 (define @t7 () (_ @t5 @t1)) % 0.40/0.63 (define @t8 () (=> @t7 @t6)) % 0.40/0.63 (define @t9 () (_ @t5 @t2)) % 0.40/0.63 (define @t10 () (@list @t2 @t1 @t4)) % 0.40/0.63 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.40/0.63 (define @t12 () (= tptp.binintersectI @t11)) % 0.40/0.63 (define @t13 () (_ tptp.setminus @t2)) % 0.40/0.63 (define @t14 () (_ @t13 @t1)) % 0.40/0.63 (define @t15 () (_ @t5 @t14)) % 0.40/0.63 (define @t16 () (not @t7)) % 0.40/0.63 (define @t17 () (=> @t16 @t15)) % 0.40/0.63 (define @t18 () (forall @t10 (=> @t9 @t17))) % 0.40/0.63 (define @t19 () (= tptp.setminusI @t18)) % 0.40/0.63 (define @t20 () (forall @t10 (=> @t15 @t16))) % 0.40/0.63 (define @t21 () (= tptp.setminusER @t20)) % 0.40/0.63 (define @t22 () (@var "X" $$unsorted)) % 0.40/0.63 (define @t23 () (_ @t5 @t22)) % 0.40/0.63 (define @t24 () (not @t23)) % 0.40/0.63 (define @t25 () (@var "Y" $$unsorted)) % 0.40/0.63 (define @t26 () (_ (_ tptp.binunion @t22) @t25)) % 0.40/0.63 (define @t27 () (_ @t5 @t26)) % 0.40/0.63 (define @t28 () (not @t27)) % 0.40/0.63 (define @t29 () (=> @t28 @t24)) % 0.40/0.63 (define @t30 () (@list @t4)) % 0.40/0.63 (define @t31 () (forall @t30 (=> @t9 @t29))) % 0.40/0.63 (define @t32 () (_ tptp.powerset @t2)) % 0.40/0.63 (define @t33 () (_ tptp.in @t25)) % 0.40/0.63 (define @t34 () (_ @t33 @t32)) % 0.40/0.63 (define @t35 () (=> @t34 @t31)) % 0.40/0.63 (define @t36 () (@list @t25)) % 0.40/0.63 (define @t37 () (forall @t36 @t35)) % 0.40/0.63 (define @t38 () (_ tptp.in @t22)) % 0.40/0.63 (define @t39 () (_ @t38 @t32)) % 0.40/0.63 (define @t40 () (=> @t39 @t37)) % 0.40/0.63 (define @t41 () (@list @t2 @t22)) % 0.40/0.63 (define @t42 () (forall @t41 @t40)) % 0.40/0.63 (define @t43 () (= tptp.binunionTILcontra @t42)) % 0.40/0.63 (define @t44 () (_ @t5 @t25)) % 0.40/0.63 (define @t45 () (not @t44)) % 0.40/0.63 (define @t46 () (=> @t28 @t45)) % 0.40/0.63 (define @t47 () (forall @t30 (=> @t9 @t46))) % 0.40/0.63 (define @t48 () (=> @t34 @t47)) % 0.40/0.63 (define @t49 () (forall @t36 @t48)) % 0.40/0.63 (define @t50 () (=> @t39 @t49)) % 0.40/0.63 (define @t51 () (forall @t41 @t50)) % 0.40/0.63 (define @t52 () (= tptp.binunionTIRcontra @t51)) % 0.40/0.63 (define @t53 () (_ @t13 @t25)) % 0.40/0.63 (define @t54 () (_ @t13 @t22)) % 0.40/0.63 (define @t55 () (_ (_ tptp.binintersect @t54) @t53)) % 0.40/0.63 (define @t56 () (_ @t5 @t55)) % 0.40/0.63 (define @t57 () (_ @t13 @t26)) % 0.40/0.63 (define @t58 () (_ @t5 @t57)) % 0.40/0.63 (define @t59 () (=> @t58 @t56)) % 0.40/0.63 (define @t60 () (forall @t30 (=> @t9 @t59))) % 0.40/0.63 (define @t61 () (=> @t34 @t60)) % 0.40/0.63 (define @t62 () (forall @t36 @t61)) % 0.40/0.63 (define @t63 () (=> @t39 @t62)) % 0.40/0.63 (define @t64 () (forall @t41 @t63)) % 0.40/0.63 (define @t65 () (=> tptp.binunionTIRcontra @t64)) % 0.40/0.63 (define @t66 () (=> tptp.binunionTILcontra @t65)) % 0.40/0.63 (define @t67 () (=> tptp.setminusER @t66)) % 0.40/0.63 (define @t68 () (=> tptp.setminusI @t67)) % 0.40/0.63 (define @t69 () (=> tptp.binintersectI @t68)) % 0.40/0.63 (define @t70 () (not @t69)) % 0.40/0.63 (define @t71 () (@var "BOUND_VARIABLE_7691" $$unsorted)) % 0.40/0.63 (define @t72 () (tptp.setminus @t2 @t22)) % 0.40/0.63 (define @t73 () (@var "BOUND_VARIABLE_7693" $$unsorted)) % 0.40/0.63 (define @t74 () (tptp.in @t73 (tptp.binintersect @t72 (tptp.setminus @t2 @t71)))) % 0.40/0.63 (define @t75 () (not (tptp.in @t73 (tptp.setminus @t2 (tptp.binunion @t22 @t71))))) % 0.40/0.63 (define @t76 () (not (tptp.in @t73 @t2))) % 0.40/0.63 (define @t77 () (tptp.powerset @t2)) % 0.40/0.63 (define @t78 () (not (tptp.in @t71 @t77))) % 0.40/0.63 (define @t79 () (tptp.in @t22 @t77)) % 0.40/0.63 (define @t80 () (not @t79)) % 0.40/0.63 (define @t81 () (or @t80 @t78 @t76 @t75 @t74)) % 0.40/0.63 (define @t82 () (@list @t2 @t22 @t71 @t73)) % 0.40/0.63 (define @t83 () (forall @t82 @t81)) % 0.40/0.63 (define @t84 () (@var "BOUND_VARIABLE_7628" $$unsorted)) % 0.40/0.63 (define @t85 () (@var "BOUND_VARIABLE_7630" $$unsorted)) % 0.40/0.63 (define @t86 () (not (tptp.in @t85 @t84))) % 0.40/0.63 (define @t87 () (tptp.in @t85 (tptp.binunion @t22 @t84))) % 0.40/0.63 (define @t88 () (not (tptp.in @t85 @t2))) % 0.40/0.63 (define @t89 () (not (tptp.in @t84 @t77))) % 0.40/0.63 (define @t90 () (or @t89 @t88 @t87 @t86)) % 0.40/0.63 (define @t91 () (or @t80 @t90)) % 0.40/0.63 (define @t92 () (forall (@list @t2 @t22 @t84 @t85) @t91)) % 0.40/0.63 (define @t93 () (@list @t84 @t85)) % 0.40/0.63 (define @t94 () (forall @t93 @t91)) % 0.40/0.63 (define @t95 () (forall @t93 @t90)) % 0.40/0.63 (define @t96 () (@var "BOUND_VARIABLE_7609" $$unsorted)) % 0.40/0.63 (define @t97 () (or @t80 @t95)) % 0.40/0.63 (define @t98 () (not (tptp.in @t96 @t25))) % 0.40/0.63 (define @t99 () (tptp.binunion @t22 @t25)) % 0.40/0.63 (define @t100 () (tptp.in @t96 @t99)) % 0.40/0.63 (define @t101 () (not (tptp.in @t96 @t2))) % 0.40/0.63 (define @t102 () (tptp.in @t25 @t77)) % 0.40/0.63 (define @t103 () (not @t102)) % 0.40/0.63 (define @t104 () (or @t103 @t101 @t100 @t98)) % 0.40/0.63 (define @t105 () (@list @t25 @t96)) % 0.40/0.63 (define @t106 () (forall @t105 @t104)) % 0.40/0.63 (define @t107 () (not @t39)) % 0.40/0.63 (define @t108 () (or @t107 @t106)) % 0.40/0.63 (define @t109 () (or @t101 @t100 @t98)) % 0.40/0.63 (define @t110 () (or @t103 @t109)) % 0.40/0.63 (define @t111 () (forall @t105 @t110)) % 0.40/0.63 (define @t112 () (@list @t96)) % 0.40/0.63 (define @t113 () (forall @t112 @t110)) % 0.40/0.63 (define @t114 () (forall @t112 @t109)) % 0.40/0.63 (define @t115 () (@list @t4)) % 0.40/0.63 (define @t116 () (or @t103 @t114)) % 0.40/0.63 (define @t117 () (tptp.in @t4 @t25)) % 0.40/0.63 (define @t118 () (tptp.in @t4 @t99)) % 0.40/0.63 (define @t119 () (tptp.in @t4 @t2)) % 0.40/0.63 (define @t120 () (not @t119)) % 0.40/0.63 (define @t121 () (forall @t30 (or @t120 @t118 (not @t117)))) % 0.40/0.63 (define @t122 () (not @t34)) % 0.40/0.63 (define @t123 () (or @t122 @t121)) % 0.40/0.63 (define @t124 () (not @t9)) % 0.40/0.63 (define @t125 () (or @t124 @t27 @t45)) % 0.40/0.63 (define @t126 () (not @t28)) % 0.40/0.63 (define @t127 () (=> tptp.binunionTIRcontra @t83)) % 0.40/0.63 (define @t128 () (@var "BOUND_VARIABLE_7578" $$unsorted)) % 0.40/0.63 (define @t129 () (not (tptp.in @t128 @t22))) % 0.40/0.63 (define @t130 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 0.40/0.63 (define @t131 () (tptp.in @t128 (tptp.binunion @t22 @t130))) % 0.40/0.63 (define @t132 () (not (tptp.in @t128 @t2))) % 0.40/0.63 (define @t133 () (not (tptp.in @t130 @t77))) % 0.40/0.63 (define @t134 () (or @t133 @t132 @t131 @t129)) % 0.40/0.63 (define @t135 () (or @t80 @t134)) % 0.40/0.63 (define @t136 () (forall (@list @t2 @t22 @t130 @t128) @t135)) % 0.40/0.63 (define @t137 () (@list @t130 @t128)) % 0.40/0.63 (define @t138 () (forall @t137 @t135)) % 0.40/0.63 (define @t139 () (forall @t137 @t134)) % 0.40/0.63 (define @t140 () (@var "BOUND_VARIABLE_7553" $$unsorted)) % 0.40/0.63 (define @t141 () (or @t80 @t139)) % 0.40/0.63 (define @t142 () (not (tptp.in @t140 @t22))) % 0.40/0.63 (define @t143 () (tptp.in @t140 @t99)) % 0.40/0.63 (define @t144 () (not (tptp.in @t140 @t2))) % 0.40/0.63 (define @t145 () (or @t103 @t144 @t143 @t142)) % 0.40/0.63 (define @t146 () (@list @t25 @t140)) % 0.40/0.63 (define @t147 () (forall @t146 @t145)) % 0.40/0.63 (define @t148 () (or @t107 @t147)) % 0.40/0.63 (define @t149 () (or @t144 @t143 @t142)) % 0.40/0.63 (define @t150 () (or @t103 @t149)) % 0.40/0.63 (define @t151 () (forall @t146 @t150)) % 0.40/0.63 (define @t152 () (@list @t140)) % 0.40/0.63 (define @t153 () (forall @t152 @t150)) % 0.40/0.63 (define @t154 () (forall @t152 @t149)) % 0.40/0.63 (define @t155 () (or @t103 @t154)) % 0.40/0.63 (define @t156 () (tptp.in @t4 @t22)) % 0.40/0.63 (define @t157 () (forall @t30 (or @t120 @t118 (not @t156)))) % 0.40/0.63 (define @t158 () (or @t122 @t157)) % 0.40/0.63 (define @t159 () (or @t124 @t27 @t24)) % 0.40/0.63 (define @t160 () (=> tptp.binunionTILcontra @t127)) % 0.40/0.63 (define @t161 () (tptp.in @t4 @t1)) % 0.40/0.63 (define @t162 () (tptp.setminus @t2 @t1)) % 0.40/0.63 (define @t163 () (tptp.in @t4 @t162)) % 0.40/0.63 (define @t164 () (not @t15)) % 0.40/0.63 (define @t165 () (or @t164 @t16)) % 0.40/0.63 (define @t166 () (=> tptp.setminusER @t160)) % 0.40/0.63 (define @t167 () (or @t124 @t7 @t15)) % 0.40/0.63 (define @t168 () (=> tptp.setminusI @t166)) % 0.40/0.63 (define @t169 () (tptp.binintersect @t2 @t1)) % 0.40/0.63 (define @t170 () (tptp.in @t4 @t169)) % 0.40/0.63 (define @t171 () (or @t124 @t16 @t6)) % 0.40/0.63 (define @t172 () (=> tptp.binintersectI @t168)) % 0.40/0.63 (define @t173 () (or @t78 @t76 @t75 @t74)) % 0.40/0.63 (define @t174 () (or @t80 @t173)) % 0.40/0.63 (define @t175 () (forall @t82 @t174)) % 0.40/0.63 (define @t176 () (@list @t71 @t73)) % 0.40/0.63 (define @t177 () (forall @t176 @t174)) % 0.40/0.63 (define @t178 () (forall @t176 @t173)) % 0.40/0.63 (define @t179 () (@var "BOUND_VARIABLE_7672" $$unsorted)) % 0.40/0.63 (define @t180 () (or @t80 @t178)) % 0.40/0.63 (define @t181 () (tptp.setminus @t2 @t25)) % 0.40/0.63 (define @t182 () (tptp.binintersect @t72 @t181)) % 0.40/0.63 (define @t183 () (tptp.in @t179 @t182)) % 0.40/0.63 (define @t184 () (tptp.setminus @t2 @t99)) % 0.40/0.63 (define @t185 () (not (tptp.in @t179 @t184))) % 0.40/0.63 (define @t186 () (not (tptp.in @t179 @t2))) % 0.40/0.63 (define @t187 () (or @t103 @t186 @t185 @t183)) % 0.40/0.63 (define @t188 () (@list @t25 @t179)) % 0.40/0.63 (define @t189 () (forall @t188 @t187)) % 0.40/0.63 (define @t190 () (or @t107 @t189)) % 0.40/0.63 (define @t191 () (or @t186 @t185 @t183)) % 0.40/0.63 (define @t192 () (or @t103 @t191)) % 0.40/0.63 (define @t193 () (forall @t188 @t192)) % 0.40/0.63 (define @t194 () (@list @t179)) % 0.40/0.63 (define @t195 () (forall @t194 @t192)) % 0.40/0.63 (define @t196 () (forall @t194 @t191)) % 0.40/0.63 (define @t197 () (or @t103 @t196)) % 0.40/0.63 (define @t198 () (tptp.in @t4 @t182)) % 0.40/0.63 (define @t199 () (tptp.in @t4 @t184)) % 0.40/0.63 (define @t200 () (forall @t30 (or @t120 (not @t199) @t198))) % 0.40/0.63 (define @t201 () (or @t122 @t200)) % 0.40/0.63 (define @t202 () (not @t58)) % 0.40/0.63 (define @t203 () (or @t124 @t202 @t56)) % 0.40/0.63 (define @t204 () (@quantifiers_skolemize @t83 3)) % 0.40/0.63 (define @t205 () (@quantifiers_skolemize @t83 2)) % 0.40/0.63 (define @t206 () (@quantifiers_skolemize @t83 1)) % 0.40/0.63 (define @t207 () (@quantifiers_skolemize @t83 0)) % 0.40/0.63 (define @t208 () (@list @t207 @t206 @t205 @t204)) % 0.40/0.63 (define @t209 () (tptp.binunion @t206 @t205)) % 0.40/0.63 (define @t210 () (tptp.in @t204 (tptp.setminus @t207 @t209))) % 0.40/0.63 (define @t211 () (tptp.setminus @t207 @t205)) % 0.40/0.63 (define @t212 () (tptp.setminus @t207 @t206)) % 0.40/0.63 (define @t213 () (tptp.in @t204 (tptp.binintersect @t212 @t211))) % 0.40/0.63 (define @t214 () (not @t210)) % 0.40/0.63 (define @t215 () (tptp.in @t204 @t207)) % 0.40/0.63 (define @t216 () (not @t215)) % 0.40/0.63 (define @t217 () (tptp.powerset @t207)) % 0.40/0.63 (define @t218 () (tptp.in @t205 @t217)) % 0.40/0.63 (define @t219 () (not @t218)) % 0.40/0.63 (define @t220 () (tptp.in @t206 @t217)) % 0.40/0.63 (define @t221 () (not @t220)) % 0.40/0.63 (define @t222 () (or @t221 @t219 @t216 @t214 @t213)) % 0.40/0.63 (define @t223 () (@list true)) % 0.40/0.63 (define @t224 () (@list @t222)) % 0.40/0.63 (define @t225 () (tptp.in @t204 @t209)) % 0.40/0.63 (define @t226 () (not @t225)) % 0.40/0.63 (define @t227 () (or @t214 @t226)) % 0.40/0.63 (define @t228 () (tptp.in @t204 @t205)) % 0.40/0.63 (define @t229 () (not @t228)) % 0.40/0.63 (define @t230 () (or @t221 @t219 @t216 @t225 @t229)) % 0.40/0.63 (define @t231 () (@list false false false true false)) % 0.40/0.63 (define @t232 () (tptp.in @t204 @t206)) % 0.40/0.63 (define @t233 () (not @t232)) % 0.40/0.63 (define @t234 () (or @t221 @t219 @t216 @t225 @t233)) % 0.40/0.63 (define @t235 () (tptp.in @t204 @t212)) % 0.40/0.63 (define @t236 () (or @t216 @t232 @t235)) % 0.40/0.63 (define @t237 () (tptp.in @t204 @t211)) % 0.40/0.63 (define @t238 () (not @t237)) % 0.40/0.63 (define @t239 () (not @t235)) % 0.40/0.63 (define @t240 () (or @t239 @t238 @t213)) % 0.40/0.63 (define @t241 () (or @t216 @t228 @t237)) % 0.40/0.63 (define @t242 () (not @t241)) % 0.40/0.63 (define @t243 () (forall @t10 (or @t120 @t161 @t163))) % 0.40/0.63 (assume @p1 @t12) % 0.40/0.63 (assume @p2 @t19) % 0.40/0.63 (assume @p3 @t21) % 0.40/0.63 (assume @p4 @t43) % 0.40/0.63 (assume @p5 @t52) % 0.40/0.63 (assume @p6 @t70) % 0.40/0.63 (assume @p7 true) % 0.40/0.63 (step @p8 :rule refl :args (@t83)) % 0.40/0.63 (step @p9 :rule aci_norm :args ((= @t91 (or @t80 @t89 @t88 @t87 @t86)))) % 0.40/0.63 (step @p10 :rule cong :premises (@p9) :args (@t92)) % 0.40/0.63 (step @p11 :rule quant-merge-prenex :args ((= (forall @t41 @t94) @t92))) % 0.40/0.63 (step @p12 :rule alpha_equiv :args (@t95 (@list @t84 @t85) (@list @t25 @t96))) % 0.40/0.63 (step @p13 :rule refl :args (@t80)) % 0.40/0.63 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t97)) % 0.40/0.63 (step @p15 :rule quant-miniscope-or :args ((= @t94 @t97))) % 0.40/0.63 (step @p16 :rule trans :premises (@p15 @p14)) % 0.40/0.63 (step @p17 :rule symm :premises (@p16)) % 0.40/0.63 (step @p18 :rule cong :premises (@p17) :args ((forall @t41 (or @t80 @t106)))) % 0.40/0.63 (step @p19 :rule trans :premises (@p18 @p11)) % 0.40/0.63 (step @p20 :rule trans :premises (@p19 @p10)) % 0.40/0.63 (step @p21 :rule refl :args (@t106)) % 0.40/0.63 (step @p22 :rule refl :args ((tptp.in @t22 @t32))) % 0.40/0.63 (step @p23 :rule refl :args (@t77)) % 0.40/0.63 (step @p24 :rule refl :args (@t22)) % 0.40/0.63 (step @p25 :rule cong :premises (@p24 @p23) :args (@t79)) % 0.40/0.63 (step @p26 :rule trans :premises (@p25 @p22)) % 0.40/0.63 (step @p27 :rule refl :args (@t38)) % 0.40/0.63 (step @p28 :rule ho_cong :premises (@p27 @p23)) % 0.40/0.63 (step @p29 :rule cong :premises (@p28 @p26) :args ((= (_ @t38 @t77) @t79))) % 0.40/0.63 (step @p30 :rule symm :premises (@p29)) % 0.40/0.63 (step @p31 :rule refl :args (@t39)) % 0.40/0.63 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.40/0.63 (step @p33 :rule refl :args (@t32)) % 0.40/0.63 (step @p34 :rule cong 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0.40/0.63 (step @p364 :rule ho_cong :premises (@p358 @p98)) % 0.40/0.63 (step @p365 :rule trans :premises (@p364 @p363)) % 0.40/0.63 (step @p366 :rule ho_cong :premises (@p89 @p365)) % 0.40/0.63 (step @p367 :rule trans :premises (@p366 @p357)) % 0.40/0.63 (step @p368 :rule cong :premises (@p367) :args (@t202)) % 0.40/0.63 (step @p369 :rule nary_cong :premises (@p106 @p368 @p345) :args (@t203)) % 0.40/0.63 (step @p370 :rule cong :premises (@p369) :args ((forall @t30 @t203))) % 0.40/0.63 (step @p371 :rule aci_norm :args ((= (or @t124 (or @t202 @t56)) @t203))) % 0.40/0.63 (step @p372 :rule bool-impl-elim :args (@t58 @t56)) % 0.40/0.63 (step @p373 :rule nary_cong :premises (@p115 @p372) :args ((or @t124 @t59))) % 0.40/0.63 (step @p374 :rule trans :premises (@p373 @p371)) % 0.40/0.63 (step @p375 :rule bool-impl-elim :args (@t9 @t59)) % 0.40/0.63 (step @p376 :rule trans :premises (@p375 @p374)) % 0.40/0.63 (step @p377 :rule cong :premises (@p376) :args (@t60)) % 0.40/0.63 (step @p378 :rule trans :premises (@p377 @p370)) % 0.40/0.63 (step @p379 :rule cong :premises (@p122 @p378) :args (@t61)) % 0.40/0.63 (step @p380 :rule cong :premises (@p379) :args (@t62)) % 0.40/0.63 (step @p381 :rule trans :premises (@p380 @p312)) % 0.40/0.63 (step @p382 :rule cong :premises (@p126 @p381) :args (@t63)) % 0.40/0.63 (step @p383 :rule cong :premises (@p382) :args (@t64)) % 0.40/0.63 (step @p384 :rule trans :premises (@p383 @p294)) % 0.40/0.63 (step @p385 :rule cong :premises (@p130 @p384) :args (@t65)) % 0.40/0.63 (step @p386 :rule cong :premises (@p195 @p385) :args (@t66)) % 0.40/0.63 (step @p387 :rule cong :premises (@p226 @p386) :args (@t67)) % 0.40/0.63 (step @p388 :rule cong :premises (@p243 @p387) :args (@t68)) % 0.40/0.63 (step @p389 :rule cong :premises (@p272 @p388) :args (@t69)) % 0.40/0.63 (step @p390 :rule cong :premises (@p389) :args (@t70)) % 0.40/0.63 (step @p391 :rule trans :premises (@p390 @p276)) % 0.40/0.63 (step @p392 :rule eq_resolve :premises (@p6 @p391)) % 0.40/0.63 (step @p393 :rule not_implies_elim2 :premises (@p392)) % 0.40/0.63 (step @p394 :rule not_implies_elim1 :premises (@p393)) % 0.40/0.63 (step @p395 :rule not_implies_elim2 :premises (@p393)) % 0.40/0.63 (step @p396 :rule not_implies_elim2 :premises (@p395)) % 0.40/0.63 (step @p397 :rule not_implies_elim2 :premises (@p396)) % 0.40/0.63 (step @p398 :rule not_implies_elim1 :premises (@p397)) % 0.40/0.63 (step @p399 :rule instantiate :premises (@p398) :args (@t208)) % 0.40/0.63 (step @p400 :rule not_implies_elim1 :premises (@p395)) % 0.40/0.63 (step @p401 :rule instantiate :premises (@p400) :args ((@list @t207 @t209 @t204))) % 0.40/0.63 (step @p402 :rule not_implies_elim2 :premises (@p397)) % 0.40/0.63 (step @p403 :rule skolemize :premises (@p402)) % 0.40/0.63 (step @p404 :rule bool-double-not-elim :args (@t210)) % 0.40/0.63 (step @p405 :rule refl :args (@t222)) % 0.40/0.63 (step @p406 :rule nary_cong :premises (@p405 @p404) :args ((or @t222 (not @t214)))) % 0.40/0.63 (step @p407 :rule cnf_or_neg :args (@t222 3)) % 0.40/0.63 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 0.40/0.63 (step @p409 :rule reordering :premises (@p408) :args ((or @t210 @t222))) % 0.40/0.63 (step @p410 :rule chain_m_resolution :premises (@p409 @p403) :args (@t210 @t223 @t224)) % 0.40/0.63 (step @p411 :rule cnf_or_pos :args (@t227)) % 0.40/0.63 (step @p412 :rule reordering :premises (@p411) :args ((or @t214 @t226 (not @t227)))) % 0.40/0.63 (step @p413 :rule chain_m_resolution :premises (@p412 @p410 @p401) :args (@t226 (@list false false) (@list @t210 @t227))) % 0.40/0.63 (step @p414 :rule bool-double-not-elim :args (@t215)) % 0.40/0.63 (step @p415 :rule nary_cong :premises (@p405 @p414) :args ((or @t222 (not @t216)))) % 0.40/0.63 (step @p416 :rule cnf_or_neg :args (@t222 2)) % 0.40/0.63 (step @p417 :rule eq_resolve :premises (@p416 @p415)) % 0.40/0.63 (step @p418 :rule reordering :premises (@p417) :args ((or @t215 @t222))) % 0.40/0.63 (step @p419 :rule chain_m_resolution 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0.40/0.63 (step @p432 :rule cnf_or_pos :args (@t230)) % 0.40/0.63 (step @p433 :rule reordering :premises (@p432) :args ((or @t221 @t219 @t216 @t225 @t229 (not @t230)))) % 0.40/0.63 (step @p434 :rule chain_m_resolution :premises (@p433 @p431 @p425 @p419 @p413 @p399) :args (@t229 @t231 (@list @t220 @t218 @t215 @t225 @t230))) % 0.40/0.63 (step @p435 :rule not_implies_elim1 :premises (@p392)) % 0.40/0.63 (step @p436 :rule instantiate :premises (@p435) :args ((@list @t212 @t211 @t204))) % 0.40/0.63 (step @p437 :rule instantiate :premises (@p394) :args ((@list @t207 @t206 @t204))) % 0.40/0.63 (step @p438 :rule not_implies_elim1 :premises (@p396)) % 0.40/0.63 (step @p439 :rule instantiate :premises (@p438) :args (@t208)) % 0.40/0.63 (step @p440 :rule cnf_or_pos :args (@t234)) % 0.40/0.63 (step @p441 :rule reordering :premises (@p440) :args ((or @t221 @t219 @t216 @t225 @t233 (not @t234)))) % 0.40/0.63 (step @p442 :rule chain_m_resolution :premises (@p441 @p431 @p425 @p419 @p413 @p439) :args (@t233 @t231 (@list @t220 @t218 @t215 @t225 @t234))) % 0.40/0.63 (step @p443 :rule cnf_or_pos :args (@t236)) % 0.40/0.63 (step @p444 :rule reordering :premises (@p443) :args ((or @t216 @t235 @t232 (not @t236)))) % 0.40/0.63 (step @p445 :rule chain_m_resolution :premises (@p444 @p419 @p442 @p437) :args (@t235 (@list false true false) (@list @t215 @t232 @t236))) % 0.40/0.63 (step @p446 :rule cnf_or_neg :args (@t222 4)) % 0.40/0.63 (step @p447 :rule chain_m_resolution :premises (@p446 @p403) :args ((not @t213) @t223 @t224)) % 0.40/0.63 (step @p448 :rule cnf_or_pos :args (@t240)) % 0.40/0.63 (step @p449 :rule reordering :premises (@p448) :args ((or @t213 @t239 @t238 (not @t240)))) % 0.40/0.63 (step @p450 :rule chain_m_resolution :premises (@p449 @p447 @p445 @p436) :args (@t238 (@list true false false) (@list @t213 @t235 @t240))) % 0.40/0.63 (step @p451 :rule cnf_or_pos :args (@t241)) % 0.40/0.63 (step @p452 :rule reordering :premises (@p451) :args ((or @t216 @t237 @t228 @t242))) % 0.40/0.63 (step @p453 :rule chain_m_resolution :premises (@p452 @p419 @p450 @p434) :args (@t242 (@list false true true) (@list @t215 @t237 @t228))) % 0.40/0.63 (assume-push @p460 @t243) % 0.40/0.63 (step @p455 :rule instantiate :premises (@p394) :args ((@list @t207 @t205 @t204))) % 0.40/0.63 (step-pop @p461 :rule scope :premises (@p455)) % 0.40/0.63 (step @p456 :rule process_scope :premises (@p461) :args (@t241)) % 0.40/0.63 (step @p458 :rule implies_elim :premises (@p456)) % 0.40/0.63 (step @p459 false :rule chain_m_resolution :premises (@p458 @p453 @p394) :args (false (@list true false) (@list @t241 @t243))) % 0.40/0.63 ) % 0.40/0.63 % SZS output end Proof % 0.40/0.63 % cvc5 exiting %------------------------------------------------------------------------------