%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU751^2 : 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 : n009.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 08:53:02 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 % 0.13/0.13 % Problem : SEU751^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n009.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:50:29 EDT 2026 % 0.16/0.35 % 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 $$unsorted 0) % 0.46/0.65 (declare-const tptp.binunionTIRcontra Bool) % 0.46/0.65 (declare-const tptp.binunionTILcontra Bool) % 0.46/0.65 (declare-const tptp.complementTE1 Bool) % 0.46/0.65 (declare-const tptp.complementT_lem Bool) % 0.46/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.setminusER Bool) % 0.46/0.65 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.binintersectI Bool) % 0.46/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (define @t1 () (@var "B" $$unsorted)) % 0.46/0.65 (define @t2 () (@var "A" $$unsorted)) % 0.46/0.65 (define @t3 () (_ (_ tptp.binintersect @t2) @t1)) % 0.46/0.65 (define @t4 () (@var "Xx" $$unsorted)) % 0.46/0.65 (define @t5 () (_ tptp.in @t4)) % 0.46/0.65 (define @t6 () (_ @t5 @t3)) % 0.46/0.65 (define @t7 () (_ @t5 @t1)) % 0.46/0.65 (define @t8 () (=> @t7 @t6)) % 0.46/0.65 (define @t9 () (_ @t5 @t2)) % 0.46/0.65 (define @t10 () (@list @t2 @t1 @t4)) % 0.46/0.65 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.46/0.65 (define @t12 () (= tptp.binintersectI @t11)) % 0.46/0.65 (define @t13 () (not @t7)) % 0.46/0.65 (define @t14 () (_ tptp.setminus @t2)) % 0.46/0.65 (define @t15 () (_ @t14 @t1)) % 0.46/0.65 (define @t16 () (_ @t5 @t15)) % 0.46/0.65 (define @t17 () (forall @t10 (=> @t16 @t13))) % 0.46/0.65 (define @t18 () (= tptp.setminusER @t17)) % 0.46/0.65 (define @t19 () (_ tptp.powerset @t2)) % 0.46/0.65 (define @t20 () (@var "X" $$unsorted)) % 0.46/0.65 (define @t21 () (_ @t14 @t20)) % 0.46/0.65 (define @t22 () (_ (_ tptp.in @t21) @t19)) % 0.46/0.65 (define @t23 () (_ tptp.in @t20)) % 0.46/0.65 (define @t24 () (_ @t23 @t19)) % 0.46/0.65 (define @t25 () (@list @t2 @t20)) % 0.46/0.65 (define @t26 () (forall @t25 (=> @t24 @t22))) % 0.46/0.65 (define @t27 () (= tptp.complementT_lem @t26)) % 0.46/0.65 (define @t28 () (_ @t5 @t20)) % 0.46/0.65 (define @t29 () (_ @t5 @t21)) % 0.46/0.65 (define @t30 () (not @t29)) % 0.46/0.65 (define @t31 () (=> @t30 @t28)) % 0.46/0.65 (define @t32 () (@list @t4)) % 0.46/0.65 (define @t33 () (forall @t32 (=> @t9 @t31))) % 0.46/0.65 (define @t34 () (=> @t24 @t33)) % 0.46/0.65 (define @t35 () (forall @t25 @t34)) % 0.46/0.65 (define @t36 () (= tptp.complementTE1 @t35)) % 0.46/0.65 (define @t37 () (not @t28)) % 0.46/0.65 (define @t38 () (@var "Y" $$unsorted)) % 0.46/0.65 (define @t39 () (_ (_ tptp.binunion @t20) @t38)) % 0.46/0.65 (define @t40 () (_ @t5 @t39)) % 0.46/0.65 (define @t41 () (not @t40)) % 0.46/0.65 (define @t42 () (=> @t41 @t37)) % 0.46/0.65 (define @t43 () (forall @t32 (=> @t9 @t42))) % 0.46/0.65 (define @t44 () (_ tptp.in @t38)) % 0.46/0.65 (define @t45 () (_ @t44 @t19)) % 0.46/0.65 (define @t46 () (=> @t45 @t43)) % 0.46/0.65 (define @t47 () (@list @t38)) % 0.46/0.65 (define @t48 () (forall @t47 @t46)) % 0.46/0.65 (define @t49 () (=> @t24 @t48)) % 0.46/0.65 (define @t50 () (forall @t25 @t49)) % 0.46/0.65 (define @t51 () (= tptp.binunionTILcontra @t50)) % 0.46/0.65 (define @t52 () (_ @t5 @t38)) % 0.46/0.65 (define @t53 () (not @t52)) % 0.46/0.65 (define @t54 () (=> @t41 @t53)) % 0.46/0.65 (define @t55 () (forall @t32 (=> @t9 @t54))) % 0.46/0.65 (define @t56 () (=> @t45 @t55)) % 0.46/0.65 (define @t57 () (forall @t47 @t56)) % 0.46/0.65 (define @t58 () (=> @t24 @t57)) % 0.46/0.65 (define @t59 () (forall @t25 @t58)) % 0.46/0.65 (define @t60 () (= tptp.binunionTIRcontra @t59)) % 0.46/0.65 (define @t61 () (_ @t14 @t38)) % 0.46/0.65 (define @t62 () (_ (_ tptp.binunion @t21) @t61)) % 0.46/0.65 (define @t63 () (_ @t5 @t62)) % 0.46/0.65 (define @t64 () (_ (_ tptp.binintersect @t20) @t38)) % 0.46/0.65 (define @t65 () (_ @t14 @t64)) % 0.46/0.65 (define @t66 () (_ @t5 @t65)) % 0.46/0.65 (define @t67 () (=> @t66 @t63)) % 0.46/0.65 (define @t68 () (forall @t32 (=> @t9 @t67))) % 0.46/0.65 (define @t69 () (=> @t45 @t68)) % 0.46/0.65 (define @t70 () (forall @t47 @t69)) % 0.46/0.65 (define @t71 () (=> @t24 @t70)) % 0.46/0.65 (define @t72 () (forall @t25 @t71)) % 0.46/0.65 (define @t73 () (=> tptp.binunionTIRcontra @t72)) % 0.46/0.65 (define @t74 () (=> tptp.binunionTILcontra @t73)) % 0.46/0.65 (define @t75 () (=> tptp.complementTE1 @t74)) % 0.46/0.65 (define @t76 () (=> tptp.complementT_lem @t75)) % 0.46/0.65 (define @t77 () (=> tptp.setminusER @t76)) % 0.46/0.65 (define @t78 () (=> tptp.binintersectI @t77)) % 0.46/0.65 (define @t79 () (not @t78)) % 0.46/0.65 (define @t80 () (@var "BOUND_VARIABLE_7734" $$unsorted)) % 0.46/0.65 (define @t81 () (tptp.setminus @t2 @t20)) % 0.46/0.65 (define @t82 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 0.46/0.65 (define @t83 () (tptp.in @t82 (tptp.binunion @t81 (tptp.setminus @t2 @t80)))) % 0.46/0.65 (define @t84 () (not (tptp.in @t82 (tptp.setminus @t2 (tptp.binintersect @t20 @t80))))) % 0.46/0.65 (define @t85 () (not (tptp.in @t82 @t2))) % 0.46/0.65 (define @t86 () (tptp.powerset @t2)) % 0.46/0.65 (define @t87 () (not (tptp.in @t80 @t86))) % 0.46/0.65 (define @t88 () (tptp.in @t20 @t86)) % 0.46/0.65 (define @t89 () (not @t88)) % 0.46/0.65 (define @t90 () (or @t89 @t87 @t85 @t84 @t83)) % 0.46/0.65 (define @t91 () (@list @t2 @t20 @t80 @t82)) % 0.46/0.65 (define @t92 () (forall @t91 @t90)) % 0.46/0.65 (define @t93 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 0.46/0.65 (define @t94 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 0.46/0.65 (define @t95 () (not (tptp.in @t94 @t93))) % 0.46/0.65 (define @t96 () (tptp.in @t94 (tptp.binunion @t20 @t93))) % 0.46/0.65 (define @t97 () (not (tptp.in @t94 @t2))) % 0.46/0.65 (define @t98 () (not (tptp.in @t93 @t86))) % 0.46/0.65 (define @t99 () (or @t98 @t97 @t96 @t95)) % 0.46/0.65 (define @t100 () (or @t89 @t99)) % 0.46/0.65 (define @t101 () (forall (@list @t2 @t20 @t93 @t94) @t100)) % 0.46/0.65 (define @t102 () (@list @t93 @t94)) % 0.46/0.65 (define @t103 () (forall @t102 @t100)) % 0.46/0.65 (define @t104 () (forall @t102 @t99)) % 0.46/0.65 (define @t105 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 0.46/0.65 (define @t106 () (or @t89 @t104)) % 0.46/0.65 (define @t107 () (not (tptp.in @t105 @t38))) % 0.46/0.65 (define @t108 () (tptp.binunion @t20 @t38)) % 0.46/0.65 (define @t109 () (tptp.in @t105 @t108)) % 0.46/0.65 (define @t110 () (not (tptp.in @t105 @t2))) % 0.46/0.65 (define @t111 () (tptp.in @t38 @t86)) % 0.46/0.65 (define @t112 () (not @t111)) % 0.46/0.65 (define @t113 () (or @t112 @t110 @t109 @t107)) % 0.46/0.65 (define @t114 () (@list @t38 @t105)) % 0.46/0.65 (define @t115 () (forall @t114 @t113)) % 0.46/0.65 (define @t116 () (not @t24)) % 0.46/0.65 (define @t117 () (or @t116 @t115)) % 0.46/0.65 (define @t118 () (or @t110 @t109 @t107)) % 0.46/0.65 (define @t119 () (or @t112 @t118)) % 0.46/0.65 (define @t120 () (forall @t114 @t119)) % 0.46/0.65 (define @t121 () (@list @t105)) % 0.46/0.65 (define @t122 () (forall @t121 @t119)) % 0.46/0.65 (define @t123 () (forall @t121 @t118)) % 0.46/0.65 (define @t124 () (@list @t4)) % 0.46/0.65 (define @t125 () (or @t112 @t123)) % 0.46/0.65 (define @t126 () (tptp.in @t4 @t38)) % 0.46/0.65 (define @t127 () (tptp.in @t4 @t108)) % 0.46/0.65 (define @t128 () (tptp.in @t4 @t2)) % 0.46/0.65 (define @t129 () (not @t128)) % 0.46/0.65 (define @t130 () (forall @t32 (or @t129 @t127 (not @t126)))) % 0.46/0.65 (define @t131 () (not @t45)) % 0.46/0.65 (define @t132 () (or @t131 @t130)) % 0.46/0.65 (define @t133 () (not @t9)) % 0.46/0.65 (define @t134 () (or @t133 @t40 @t53)) % 0.46/0.65 (define @t135 () (not @t41)) % 0.46/0.65 (define @t136 () (=> tptp.binunionTIRcontra @t92)) % 0.46/0.65 (define @t137 () (@var "BOUND_VARIABLE_7621" $$unsorted)) % 0.46/0.65 (define @t138 () (not (tptp.in @t137 @t20))) % 0.46/0.65 (define @t139 () (@var "BOUND_VARIABLE_7619" $$unsorted)) % 0.46/0.65 (define @t140 () (tptp.in @t137 (tptp.binunion @t20 @t139))) % 0.46/0.65 (define @t141 () (not (tptp.in @t137 @t2))) % 0.46/0.65 (define @t142 () (not (tptp.in @t139 @t86))) % 0.46/0.65 (define @t143 () (or @t142 @t141 @t140 @t138)) % 0.46/0.65 (define @t144 () (or @t89 @t143)) % 0.46/0.65 (define @t145 () (forall (@list @t2 @t20 @t139 @t137) @t144)) % 0.46/0.65 (define @t146 () (@list @t139 @t137)) % 0.46/0.65 (define @t147 () (forall @t146 @t144)) % 0.46/0.65 (define @t148 () (forall @t146 @t143)) % 0.46/0.65 (define @t149 () (@var "BOUND_VARIABLE_7600" $$unsorted)) % 0.46/0.65 (define @t150 () (or @t89 @t148)) % 0.46/0.65 (define @t151 () (not (tptp.in @t149 @t20))) % 0.46/0.65 (define @t152 () (tptp.in @t149 @t108)) % 0.46/0.65 (define @t153 () (not (tptp.in @t149 @t2))) % 0.46/0.65 (define @t154 () (or @t112 @t153 @t152 @t151)) % 0.46/0.65 (define @t155 () (@list @t38 @t149)) % 0.46/0.65 (define @t156 () (forall @t155 @t154)) % 0.46/0.65 (define @t157 () (or @t116 @t156)) % 0.46/0.65 (define @t158 () (or @t153 @t152 @t151)) % 0.46/0.65 (define @t159 () (or @t112 @t158)) % 0.46/0.65 (define @t160 () (forall @t155 @t159)) % 0.46/0.65 (define @t161 () (@list @t149)) % 0.46/0.65 (define @t162 () (forall @t161 @t159)) % 0.46/0.65 (define @t163 () (forall @t161 @t158)) % 0.46/0.65 (define @t164 () (or @t112 @t163)) % 0.46/0.65 (define @t165 () (tptp.in @t4 @t20)) % 0.46/0.65 (define @t166 () (forall @t32 (or @t129 @t127 (not @t165)))) % 0.46/0.65 (define @t167 () (or @t131 @t166)) % 0.46/0.65 (define @t168 () (or @t133 @t40 @t37)) % 0.46/0.65 (define @t169 () (=> tptp.binunionTILcontra @t136)) % 0.46/0.65 (define @t170 () (@var "BOUND_VARIABLE_7567" $$unsorted)) % 0.46/0.65 (define @t171 () (tptp.in @t170 @t20)) % 0.46/0.65 (define @t172 () (tptp.in @t170 @t81)) % 0.46/0.65 (define @t173 () (not (tptp.in @t170 @t2))) % 0.46/0.65 (define @t174 () (or @t89 @t173 @t172 @t171)) % 0.46/0.65 (define @t175 () (or @t173 @t172 @t171)) % 0.46/0.65 (define @t176 () (or @t89 @t175)) % 0.46/0.65 (define @t177 () (@list @t2 @t20 @t170)) % 0.46/0.65 (define @t178 () (forall @t177 @t176)) % 0.46/0.65 (define @t179 () (@list @t170)) % 0.46/0.65 (define @t180 () (forall @t179 @t176)) % 0.46/0.65 (define @t181 () (forall @t179 @t175)) % 0.46/0.65 (define @t182 () (or @t89 @t181)) % 0.46/0.65 (define @t183 () (tptp.in @t4 @t81)) % 0.46/0.65 (define @t184 () (forall @t32 (or @t129 @t183 @t165))) % 0.46/0.65 (define @t185 () (or @t116 @t184)) % 0.46/0.65 (define @t186 () (or @t133 @t29 @t28)) % 0.46/0.65 (define @t187 () (=> tptp.complementTE1 @t169)) % 0.46/0.65 (define @t188 () (tptp.in @t81 @t86)) % 0.46/0.65 (define @t189 () (or @t116 @t22)) % 0.46/0.65 (define @t190 () (=> tptp.complementT_lem @t187)) % 0.46/0.65 (define @t191 () (tptp.in @t4 @t1)) % 0.46/0.65 (define @t192 () (tptp.setminus @t2 @t1)) % 0.46/0.65 (define @t193 () (tptp.in @t4 @t192)) % 0.46/0.65 (define @t194 () (not @t16)) % 0.46/0.65 (define @t195 () (or @t194 @t13)) % 0.46/0.65 (define @t196 () (=> tptp.setminusER @t190)) % 0.46/0.65 (define @t197 () (tptp.binintersect @t2 @t1)) % 0.46/0.65 (define @t198 () (tptp.in @t4 @t197)) % 0.46/0.65 (define @t199 () (or @t133 @t13 @t6)) % 0.46/0.65 (define @t200 () (=> tptp.binintersectI @t196)) % 0.46/0.65 (define @t201 () (or @t87 @t85 @t84 @t83)) % 0.46/0.65 (define @t202 () (or @t89 @t201)) % 0.46/0.65 (define @t203 () (forall @t91 @t202)) % 0.46/0.65 (define @t204 () (@list @t80 @t82)) % 0.46/0.65 (define @t205 () (forall @t204 @t202)) % 0.46/0.65 (define @t206 () (forall @t204 @t201)) % 0.46/0.65 (define @t207 () (@var "BOUND_VARIABLE_7715" $$unsorted)) % 0.46/0.65 (define @t208 () (or @t89 @t206)) % 0.46/0.65 (define @t209 () (tptp.setminus @t2 @t38)) % 0.46/0.65 (define @t210 () (tptp.binunion @t81 @t209)) % 0.46/0.65 (define @t211 () (tptp.in @t207 @t210)) % 0.46/0.65 (define @t212 () (tptp.binintersect @t20 @t38)) % 0.46/0.65 (define @t213 () (tptp.setminus @t2 @t212)) % 0.46/0.65 (define @t214 () (not (tptp.in @t207 @t213))) % 0.46/0.65 (define @t215 () (not (tptp.in @t207 @t2))) % 0.46/0.65 (define @t216 () (or @t112 @t215 @t214 @t211)) % 0.46/0.65 (define @t217 () (@list @t38 @t207)) % 0.46/0.65 (define @t218 () (forall @t217 @t216)) % 0.46/0.65 (define @t219 () (or @t116 @t218)) % 0.46/0.65 (define @t220 () (or @t215 @t214 @t211)) % 0.46/0.65 (define @t221 () (or @t112 @t220)) % 0.46/0.65 (define @t222 () (forall @t217 @t221)) % 0.46/0.65 (define @t223 () (@list @t207)) % 0.46/0.65 (define @t224 () (forall @t223 @t221)) % 0.46/0.65 (define @t225 () (forall @t223 @t220)) % 0.46/0.65 (define @t226 () (or @t112 @t225)) % 0.46/0.65 (define @t227 () (tptp.in @t4 @t210)) % 0.46/0.65 (define @t228 () (tptp.in @t4 @t213)) % 0.46/0.65 (define @t229 () (forall @t32 (or @t129 (not @t228) @t227))) % 0.46/0.65 (define @t230 () (or @t131 @t229)) % 0.46/0.65 (define @t231 () (not @t66)) % 0.46/0.65 (define @t232 () (or @t133 @t231 @t63)) % 0.46/0.65 (define @t233 () (@quantifiers_skolemize @t92 3)) % 0.46/0.65 (define @t234 () (@quantifiers_skolemize @t92 2)) % 0.46/0.65 (define @t235 () (@quantifiers_skolemize @t92 0)) % 0.46/0.65 (define @t236 () (tptp.setminus @t235 @t234)) % 0.46/0.65 (define @t237 () (@quantifiers_skolemize @t92 1)) % 0.46/0.65 (define @t238 () (tptp.setminus @t235 @t237)) % 0.46/0.65 (define @t239 () (@list @t235 @t238 @t236 @t233)) % 0.46/0.65 (define @t240 () (tptp.powerset @t235)) % 0.46/0.65 (define @t241 () (tptp.in @t234 @t240)) % 0.46/0.65 (define @t242 () (tptp.in @t233 (tptp.binunion @t238 @t236))) % 0.46/0.65 (define @t243 () (tptp.binintersect @t237 @t234)) % 0.46/0.65 (define @t244 () (tptp.in @t233 (tptp.setminus @t235 @t243))) % 0.46/0.65 (define @t245 () (not @t244)) % 0.46/0.65 (define @t246 () (tptp.in @t233 @t235)) % 0.46/0.65 (define @t247 () (not @t246)) % 0.46/0.65 (define @t248 () (not @t241)) % 0.46/0.65 (define @t249 () (tptp.in @t237 @t240)) % 0.46/0.65 (define @t250 () (not @t249)) % 0.46/0.65 (define @t251 () (or @t250 @t248 @t247 @t245 @t242)) % 0.46/0.65 (define @t252 () (@list true)) % 0.46/0.65 (define @t253 () (@list @t251)) % 0.46/0.65 (define @t254 () (tptp.in @t236 @t240)) % 0.46/0.65 (define @t255 () (or @t248 @t254)) % 0.46/0.65 (define @t256 () (@list false false)) % 0.46/0.65 (define @t257 () (tptp.in @t238 @t240)) % 0.46/0.65 (define @t258 () (or @t250 @t257)) % 0.46/0.65 (define @t259 () (tptp.in @t233 @t238)) % 0.46/0.65 (define @t260 () (not @t259)) % 0.46/0.65 (define @t261 () (not @t254)) % 0.46/0.65 (define @t262 () (not @t257)) % 0.46/0.65 (define @t263 () (or @t262 @t261 @t247 @t242 @t260)) % 0.46/0.65 (define @t264 () (@list false true false false false)) % 0.46/0.65 (define @t265 () (tptp.in @t233 @t236)) % 0.46/0.65 (define @t266 () (not @t265)) % 0.46/0.65 (define @t267 () (or @t262 @t261 @t247 @t242 @t266)) % 0.46/0.65 (define @t268 () (tptp.in @t233 @t234)) % 0.46/0.65 (define @t269 () (or @t248 @t247 @t265 @t268)) % 0.46/0.65 (define @t270 () (tptp.in @t233 @t243)) % 0.46/0.65 (define @t271 () (not @t270)) % 0.46/0.65 (define @t272 () (or @t245 @t271)) % 0.46/0.65 (define @t273 () (not @t268)) % 0.46/0.65 (define @t274 () (tptp.in @t233 @t237)) % 0.46/0.65 (define @t275 () (not @t274)) % 0.46/0.65 (define @t276 () (or @t275 @t273 @t270)) % 0.46/0.65 (define @t277 () (or @t250 @t247 @t259 @t274)) % 0.46/0.65 (define @t278 () (not @t277)) % 0.46/0.65 (define @t279 () (forall @t177 @t174)) % 0.46/0.65 (assume @p1 @t12) % 0.46/0.65 (assume @p2 @t18) % 0.46/0.65 (assume @p3 @t27) % 0.46/0.65 (assume @p4 @t36) % 0.46/0.65 (assume @p5 @t51) % 0.46/0.65 (assume @p6 @t60) % 0.46/0.65 (assume @p7 @t79) % 0.46/0.65 (assume @p8 true) % 0.46/0.65 (step @p9 :rule refl :args (@t92)) % 0.46/0.65 (step @p10 :rule aci_norm :args ((= @t100 (or @t89 @t98 @t97 @t96 @t95)))) % 0.46/0.65 (step @p11 :rule cong :premises (@p10) :args (@t101)) % 0.46/0.65 (step @p12 :rule quant-merge-prenex :args ((= (forall @t25 @t103) @t101))) % 0.46/0.65 (step @p13 :rule alpha_equiv :args (@t104 (@list @t93 @t94) (@list @t38 @t105))) % 0.46/0.65 (step @p14 :rule refl :args (@t89)) % 0.46/0.65 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t106)) % 0.46/0.65 (step @p16 :rule quant-miniscope-or :args ((= @t103 @t106))) % 0.46/0.65 (step @p17 :rule trans :premises (@p16 @p15)) % 0.46/0.65 (step @p18 :rule symm :premises (@p17)) % 0.46/0.65 (step @p19 :rule cong :premises (@p18) :args ((forall @t25 (or @t89 @t115)))) % 0.46/0.65 (step @p20 :rule trans :premises (@p19 @p12)) % 0.46/0.65 (step @p21 :rule trans :premises (@p20 @p11)) % 0.46/0.65 (step @p22 :rule refl :args (@t115)) % 0.46/0.65 (step @p23 :rule refl :args ((tptp.in @t20 @t19))) % 0.46/0.65 (step @p24 :rule refl :args (@t86)) % 0.46/0.65 (step @p25 :rule refl :args (@t20)) % 0.46/0.65 (step @p26 :rule cong :premises (@p25 @p24) :args (@t88)) % 0.46/0.65 (step @p27 :rule trans :premises (@p26 @p23)) % 0.46/0.65 (step @p28 :rule refl :args (@t23)) % 0.46/0.65 (step @p29 :rule ho_cong :premises (@p28 @p24)) % 0.46/0.65 (step @p30 :rule cong :premises (@p29 @p27) :args ((= (_ @t23 @t86) @t88))) % 0.46/0.65 (step @p31 :rule symm :premises (@p30)) % 0.46/0.65 (step @p32 :rule refl :args (@t24)) % 0.46/0.65 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.46/0.65 (step @p34 :rule refl :args (@t19)) % 0.46/0.65 (step @p35 :rule cong :premises (@p34 @p24) :args ((= @t19 @t86))) % 0.46/0.65 (step @p36 :rule symm :premises (@p35)) % 0.46/0.65 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.46/0.65 (step @p38 :rule ho_cong :premises (@p28 @p37)) % 0.46/0.65 (step @p39 :rule trans :premises (@p38 @p33)) % 0.46/0.65 (step @p40 :rule cong :premises (@p39) :args (@t116)) % 0.46/0.65 (step @p41 :rule nary_cong :premises (@p40 @p22) :args (@t117)) % 0.46/0.65 (step @p42 :rule cong :premises (@p41) :args ((forall @t25 @t117))) % 0.46/0.65 (step @p43 :rule trans :premises (@p42 @p21)) % 0.46/0.65 (step @p44 :rule bool-impl-elim :args (@t24 @t115)) % 0.46/0.65 (step @p45 :rule cong :premises (@p44) :args ((forall @t25 (=> @t24 @t115)))) % 0.46/0.65 (step @p46 :rule trans :premises (@p45 @p43)) % 0.46/0.65 (step @p47 :rule aci_norm :args ((= @t119 @t113))) % 0.46/0.65 (step @p48 :rule cong :premises (@p47) :args (@t120)) % 0.46/0.65 (step @p49 :rule quant-merge-prenex :args ((= (forall @t47 @t122) @t120))) % 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(step @p66 :rule cong :premises (@p65 @p63) :args ((= (_ @t44 @t86) @t111))) % 0.46/0.65 (step @p67 :rule symm :premises (@p66)) % 0.46/0.65 (step @p68 :rule refl :args (@t45)) % 0.46/0.65 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.46/0.65 (step @p70 :rule ho_cong :premises (@p64 @p37)) % 0.46/0.65 (step @p71 :rule trans :premises (@p70 @p69)) % 0.46/0.65 (step @p72 :rule cong :premises (@p71) :args (@t131)) % 0.46/0.65 (step @p73 :rule nary_cong :premises (@p72 @p59) :args (@t132)) % 0.46/0.65 (step @p74 :rule cong :premises (@p73) :args ((forall @t47 @t132))) % 0.46/0.65 (step @p75 :rule trans :premises (@p74 @p58)) % 0.46/0.65 (step @p76 :rule bool-impl-elim :args (@t45 @t130)) % 0.46/0.65 (step @p77 :rule cong :premises (@p76) :args ((forall @t47 (=> @t45 @t130)))) % 0.46/0.65 (step @p78 :rule trans :premises (@p77 @p75)) % 0.46/0.65 (step @p79 :rule refl :args (@t126)) % 0.46/0.65 (step @p80 :rule refl :args (@t52)) % 0.46/0.65 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t52 @t126))) % 0.46/0.65 (step @p82 :rule symm :premises (@p81)) % 0.46/0.65 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.46/0.65 (step @p84 :rule cong :premises (@p83) :args (@t53)) % 0.46/0.65 (step @p85 :rule refl :args ((tptp.in @t4 @t39))) % 0.46/0.65 (step @p86 :rule refl :args (@t108)) % 0.46/0.65 (step @p87 :rule refl :args (@t4)) % 0.46/0.65 (step @p88 :rule cong :premises (@p87 @p86) :args (@t127)) % 0.46/0.65 (step @p89 :rule trans :premises (@p88 @p85)) % 0.46/0.65 (step @p90 :rule refl :args (@t5)) % 0.46/0.65 (step @p91 :rule ho_cong :premises (@p90 @p86)) % 0.46/0.65 (step @p92 :rule cong :premises (@p91 @p89) :args ((= (_ @t5 @t108) @t127))) % 0.46/0.65 (step @p93 :rule symm :premises (@p92)) % 0.46/0.65 (step @p94 :rule refl :args (@t40)) % 0.46/0.65 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.46/0.65 (step @p96 :rule refl :args (@t39)) % 0.46/0.65 (step @p97 :rule cong :premises (@p96 @p86) :args ((= @t39 @t108))) % 0.46/0.65 (step @p98 :rule symm :premises (@p97)) % 0.46/0.65 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.46/0.65 (step @p100 :rule ho_cong :premises (@p90 @p99)) % 0.46/0.65 (step @p101 :rule trans :premises (@p100 @p95)) % 0.46/0.65 (step @p102 :rule refl :args (@t128)) % 0.46/0.65 (step @p103 :rule refl :args (@t9)) % 0.46/0.65 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t9 @t128))) % 0.46/0.65 (step @p105 :rule symm :premises (@p104)) % 0.46/0.65 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.46/0.65 (step @p107 :rule cong :premises (@p106) :args (@t133)) % 0.46/0.65 (step @p108 :rule nary_cong :premises (@p107 @p101 @p84) :args (@t134)) % 0.46/0.65 (step @p109 :rule cong :premises (@p108) :args ((forall @t32 @t134))) % 0.46/0.65 (step @p110 :rule aci_norm :args ((= (or @t133 (or @t40 @t53)) @t134))) % 0.46/0.65 (step @p111 :rule refl :args (@t53)) % 0.46/0.65 (step @p112 :rule bool-double-not-elim :args (@t40)) % 0.46/0.65 (step @p113 :rule nary_cong 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0.46/0.65 (step @p129 :rule cong :premises (@p128) :args (@t59)) % 0.46/0.65 (step @p130 :rule trans :premises (@p129 @p46)) % 0.46/0.65 (step @p131 :rule refl :args (tptp.binunionTIRcontra)) % 0.46/0.65 (step @p132 :rule cong :premises (@p131 @p130) :args (@t60)) % 0.46/0.65 (step @p133 :rule eq_resolve :premises (@p6 @p132)) % 0.46/0.65 (step @p134 :rule cong :premises (@p133 @p9) :args (@t136)) % 0.46/0.65 (step @p135 :rule aci_norm :args ((= @t144 (or @t89 @t142 @t141 @t140 @t138)))) % 0.46/0.65 (step @p136 :rule cong :premises (@p135) :args (@t145)) % 0.46/0.65 (step @p137 :rule quant-merge-prenex :args ((= (forall @t25 @t147) @t145))) % 0.46/0.65 (step @p138 :rule alpha_equiv :args (@t148 (@list @t139 @t137) (@list @t38 @t149))) % 0.46/0.65 (step @p139 :rule nary_cong :premises (@p14 @p138) :args (@t150)) % 0.46/0.65 (step @p140 :rule quant-miniscope-or :args ((= @t147 @t150))) % 0.46/0.65 (step @p141 :rule trans :premises (@p140 @p139)) % 0.46/0.65 (step @p142 :rule symm 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@t248)))) % 0.46/0.65 (step @p468 :rule cnf_or_neg :args (@t251 1)) % 0.46/0.65 (step @p469 :rule eq_resolve :premises (@p468 @p467)) % 0.46/0.65 (step @p470 :rule reordering :premises (@p469) :args ((or @t241 @t251))) % 0.46/0.65 (step @p471 :rule chain_m_resolution :premises (@p470 @p464) :args (@t241 @t252 @t253)) % 0.46/0.65 (step @p472 :rule cnf_or_pos :args (@t255)) % 0.46/0.65 (step @p473 :rule reordering :premises (@p472) :args ((or @t248 @t254 (not @t255)))) % 0.46/0.65 (step @p474 :rule chain_m_resolution :premises (@p473 @p471 @p461) :args (@t254 @t256 (@list @t241 @t255))) % 0.46/0.65 (step @p475 :rule instantiate :premises (@p460) :args ((@list @t235 @t237))) % 0.46/0.65 (step @p476 :rule bool-double-not-elim :args (@t249)) % 0.46/0.65 (step @p477 :rule nary_cong :premises (@p466 @p476) :args ((or @t251 (not @t250)))) % 0.46/0.65 (step @p478 :rule cnf_or_neg :args (@t251 0)) % 0.46/0.65 (step @p479 :rule eq_resolve :premises (@p478 @p477)) % 0.46/0.65 (step @p480 :rule reordering :premises (@p479) :args ((or @t249 @t251))) % 0.46/0.65 (step @p481 :rule chain_m_resolution :premises (@p480 @p464) :args (@t249 @t252 @t253)) % 0.46/0.65 (step @p482 :rule cnf_or_pos :args (@t258)) % 0.46/0.65 (step @p483 :rule reordering :premises (@p482) :args ((or @t250 @t257 (not @t258)))) % 0.46/0.65 (step @p484 :rule chain_m_resolution :premises (@p483 @p481 @p475) :args (@t257 @t256 (@list @t249 @t258))) % 0.46/0.65 (step @p485 :rule cnf_or_neg :args (@t251 4)) % 0.46/0.65 (step @p486 :rule chain_m_resolution :premises (@p485 @p464) :args ((not @t242) @t252 @t253)) % 0.46/0.65 (step @p487 :rule bool-double-not-elim :args (@t246)) % 0.46/0.65 (step @p488 :rule nary_cong :premises (@p466 @p487) :args ((or @t251 (not @t247)))) % 0.46/0.65 (step @p489 :rule cnf_or_neg :args (@t251 2)) % 0.46/0.65 (step @p490 :rule eq_resolve :premises (@p489 @p488)) % 0.46/0.65 (step @p491 :rule reordering :premises (@p490) :args ((or @t246 @t251))) % 0.46/0.65 (step @p492 :rule chain_m_resolution :premises (@p491 @p464) :args (@t246 @t252 @t253)) % 0.46/0.65 (step @p493 :rule cnf_or_pos :args (@t263)) % 0.46/0.65 (step @p494 :rule reordering :premises (@p493) :args ((or @t247 @t242 @t262 @t261 @t260 (not @t263)))) % 0.46/0.65 (step @p495 :rule chain_m_resolution :premises (@p494 @p492 @p486 @p484 @p474 @p459) :args (@t260 @t264 (@list @t246 @t242 @t257 @t254 @t263))) % 0.46/0.65 (step @p496 :rule not_implies_elim1 :premises (@p452)) % 0.46/0.65 (step @p497 :rule instantiate :premises (@p496) :args ((@list @t237 @t234 @t233))) % 0.46/0.65 (step @p498 :rule instantiate :premises (@p456) :args ((@list @t235 @t234 @t233))) % 0.46/0.65 (step @p499 :rule not_implies_elim1 :premises (@p462)) % 0.46/0.65 (step @p500 :rule instantiate :premises (@p499) :args (@t239)) % 0.46/0.65 (step @p501 :rule cnf_or_pos :args (@t267)) % 0.46/0.65 (step @p502 :rule reordering :premises (@p501) :args ((or @t247 @t242 @t262 @t261 @t266 (not @t267)))) % 0.46/0.65 (step @p503 :rule chain_m_resolution :premises (@p502 @p492 @p486 @p484 @p474 @p500) :args (@t266 @t264 (@list @t246 @t242 @t257 @t254 @t267))) % 0.46/0.65 (step @p504 :rule cnf_or_pos :args (@t269)) % 0.46/0.65 (step @p505 :rule reordering :premises (@p504) :args ((or @t248 @t247 @t268 @t265 (not @t269)))) % 0.46/0.65 (step @p506 :rule chain_m_resolution :premises (@p505 @p471 @p492 @p503 @p498) :args (@t268 (@list false false true false) (@list @t241 @t246 @t265 @t269))) % 0.46/0.65 (step @p507 :rule not_implies_elim1 :premises (@p453)) % 0.46/0.65 (step @p508 :rule instantiate :premises (@p507) :args ((@list @t235 @t243 @t233))) % 0.46/0.65 (step @p509 :rule bool-double-not-elim :args (@t244)) % 0.46/0.65 (step @p510 :rule nary_cong :premises (@p466 @p509) :args ((or @t251 (not @t245)))) % 0.46/0.65 (step @p511 :rule cnf_or_neg :args (@t251 3)) % 0.46/0.65 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 0.46/0.65 (step @p513 :rule reordering :premises (@p512) :args ((or @t244 @t251))) % 0.46/0.65 (step @p514 :rule chain_m_resolution :premises (@p513 @p464) :args (@t244 @t252 @t253)) % 0.46/0.65 (step @p515 :rule cnf_or_pos :args (@t272)) % 0.46/0.65 (step @p516 :rule reordering :premises (@p515) :args ((or @t245 @t271 (not @t272)))) % 0.46/0.65 (step @p517 :rule chain_m_resolution :premises (@p516 @p514 @p508) :args (@t271 @t256 (@list @t244 @t272))) % 0.46/0.65 (step @p518 :rule cnf_or_pos :args (@t276)) % 0.46/0.65 (step @p519 :rule reordering :premises (@p518) :args ((or @t270 @t275 @t273 (not @t276)))) % 0.46/0.65 (step @p520 :rule chain_m_resolution :premises (@p519 @p517 @p506 @p497) :args (@t275 (@list true false false) (@list @t270 @t268 @t276))) % 0.46/0.65 (step @p521 :rule cnf_or_pos :args (@t277)) % 0.46/0.65 (step @p522 :rule reordering :premises (@p521) :args ((or @t250 @t247 @t274 @t259 @t278))) % 0.46/0.65 (step @p523 :rule chain_m_resolution :premises (@p522 @p481 @p492 @p520 @p495) :args (@t278 (@list false false true true) (@list @t249 @t246 @t274 @t259))) % 0.46/0.65 (assume-push @p530 @t279) % 0.46/0.65 (step @p525 :rule instantiate :premises (@p456) :args ((@list @t235 @t237 @t233))) % 0.46/0.65 (step-pop @p531 :rule scope :premises (@p525)) % 0.46/0.65 (step @p526 :rule process_scope :premises (@p531) :args (@t277)) % 0.46/0.65 (step @p528 :rule implies_elim :premises (@p526)) % 0.46/0.65 (step @p529 false :rule chain_m_resolution :premises (@p528 @p523 @p456) :args (false (@list true false) (@list @t277 @t279))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------