%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU756^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 08:53:03 AM UTC 2026 % Result : Theorem 0.41s 0.60s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU756^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:50:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.41/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.60 % SZS status Theorem % 0.41/0.60 % SZS output start Proof % 0.41/0.60 ( % 0.41/0.60 (declare-sort $$unsorted 0) % 0.41/0.60 (declare-const tptp.demorgan2b2 Bool) % 0.41/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.binintersectER Bool) % 0.41/0.60 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.binintersectEL Bool) % 0.41/0.60 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.41/0.60 (define @t2 () (@var "Xx" $$unsorted)) % 0.41/0.60 (define @t3 () (_ tptp.in @t2)) % 0.41/0.60 (define @t4 () (_ @t3 @t1)) % 0.41/0.60 (define @t5 () (@var "B" $$unsorted)) % 0.41/0.60 (define @t6 () (_ (_ tptp.binintersect @t1) @t5)) % 0.41/0.60 (define @t7 () (_ @t3 @t6)) % 0.41/0.60 (define @t8 () (@list @t1 @t5 @t2)) % 0.41/0.60 (define @t9 () (forall @t8 (=> @t7 @t4))) % 0.41/0.60 (define @t10 () (= tptp.binintersectEL @t9)) % 0.41/0.60 (define @t11 () (_ @t3 @t5)) % 0.41/0.60 (define @t12 () (forall @t8 (=> @t7 @t11))) % 0.41/0.60 (define @t13 () (= tptp.binintersectER @t12)) % 0.41/0.60 (define @t14 () (@var "Y" $$unsorted)) % 0.41/0.60 (define @t15 () (@var "X" $$unsorted)) % 0.41/0.60 (define @t16 () (_ (_ tptp.binunion @t15) @t14)) % 0.41/0.60 (define @t17 () (_ tptp.setminus @t1)) % 0.41/0.60 (define @t18 () (_ @t17 @t16)) % 0.41/0.60 (define @t19 () (_ @t3 @t18)) % 0.41/0.60 (define @t20 () (_ @t17 @t14)) % 0.41/0.60 (define @t21 () (_ @t3 @t20)) % 0.41/0.60 (define @t22 () (=> @t21 @t19)) % 0.41/0.60 (define @t23 () (_ @t17 @t15)) % 0.41/0.60 (define @t24 () (_ @t3 @t23)) % 0.41/0.60 (define @t25 () (=> @t24 @t22)) % 0.41/0.60 (define @t26 () (@list @t2)) % 0.41/0.60 (define @t27 () (forall @t26 (=> @t4 @t25))) % 0.41/0.60 (define @t28 () (_ tptp.powerset @t1)) % 0.41/0.60 (define @t29 () (_ tptp.in @t14)) % 0.41/0.60 (define @t30 () (_ @t29 @t28)) % 0.41/0.60 (define @t31 () (=> @t30 @t27)) % 0.41/0.60 (define @t32 () (@list @t14)) % 0.41/0.60 (define @t33 () (forall @t32 @t31)) % 0.41/0.60 (define @t34 () (_ tptp.in @t15)) % 0.41/0.60 (define @t35 () (_ @t34 @t28)) % 0.41/0.60 (define @t36 () (=> @t35 @t33)) % 0.41/0.60 (define @t37 () (@list @t1 @t15)) % 0.41/0.60 (define @t38 () (forall @t37 @t36)) % 0.41/0.60 (define @t39 () (= tptp.demorgan2b2 @t38)) % 0.41/0.60 (define @t40 () (_ (_ tptp.binintersect @t23) @t20)) % 0.41/0.60 (define @t41 () (_ @t3 @t40)) % 0.41/0.60 (define @t42 () (=> @t41 @t19)) % 0.41/0.60 (define @t43 () (forall @t26 (=> @t4 @t42))) % 0.41/0.60 (define @t44 () (=> @t30 @t43)) % 0.41/0.60 (define @t45 () (forall @t32 @t44)) % 0.41/0.60 (define @t46 () (=> @t35 @t45)) % 0.41/0.60 (define @t47 () (forall @t37 @t46)) % 0.41/0.60 (define @t48 () (=> tptp.demorgan2b2 @t47)) % 0.41/0.60 (define @t49 () (=> tptp.binintersectER @t48)) % 0.41/0.60 (define @t50 () (=> tptp.binintersectEL @t49)) % 0.41/0.60 (define @t51 () (not @t50)) % 0.41/0.60 (define @t52 () (@var "BOUND_VARIABLE_7615" $$unsorted)) % 0.41/0.60 (define @t53 () (@var "BOUND_VARIABLE_7617" $$unsorted)) % 0.41/0.60 (define @t54 () (tptp.in @t53 (tptp.setminus @t1 (tptp.binunion @t15 @t52)))) % 0.41/0.60 (define @t55 () (tptp.setminus @t1 @t15)) % 0.41/0.60 (define @t56 () (not (tptp.in @t53 (tptp.binintersect @t55 (tptp.setminus @t1 @t52))))) % 0.41/0.60 (define @t57 () (not (tptp.in @t53 @t1))) % 0.41/0.60 (define @t58 () (tptp.powerset @t1)) % 0.41/0.60 (define @t59 () (not (tptp.in @t52 @t58))) % 0.41/0.60 (define @t60 () (tptp.in @t15 @t58)) % 0.41/0.60 (define @t61 () (not @t60)) % 0.41/0.60 (define @t62 () (or @t61 @t59 @t57 @t56 @t54)) % 0.41/0.60 (define @t63 () (@list @t1 @t15 @t52 @t53)) % 0.41/0.60 (define @t64 () (forall @t63 @t62)) % 0.41/0.60 (define @t65 () (@var "BOUND_VARIABLE_7554" $$unsorted)) % 0.41/0.60 (define @t66 () (@var "BOUND_VARIABLE_7556" $$unsorted)) % 0.41/0.60 (define @t67 () (tptp.in @t66 (tptp.setminus @t1 (tptp.binunion @t15 @t65)))) % 0.41/0.60 (define @t68 () (not (tptp.in @t66 (tptp.setminus @t1 @t65)))) % 0.41/0.60 (define @t69 () (not (tptp.in @t66 @t55))) % 0.41/0.60 (define @t70 () (not (tptp.in @t66 @t1))) % 0.41/0.60 (define @t71 () (not (tptp.in @t65 @t58))) % 0.41/0.60 (define @t72 () (or @t71 @t70 @t69 @t68 @t67)) % 0.41/0.60 (define @t73 () (or @t61 @t72)) % 0.41/0.60 (define @t74 () (forall (@list @t1 @t15 @t65 @t66) @t73)) % 0.41/0.60 (define @t75 () (@list @t65 @t66)) % 0.41/0.60 (define @t76 () (forall @t75 @t73)) % 0.41/0.60 (define @t77 () (forall @t75 @t72)) % 0.41/0.60 (define @t78 () (@var "BOUND_VARIABLE_7529" $$unsorted)) % 0.41/0.60 (define @t79 () (or @t61 @t77)) % 0.41/0.60 (define @t80 () (tptp.binunion @t15 @t14)) % 0.41/0.60 (define @t81 () (tptp.setminus @t1 @t80)) % 0.41/0.60 (define @t82 () (tptp.in @t78 @t81)) % 0.41/0.60 (define @t83 () (tptp.setminus @t1 @t14)) % 0.41/0.60 (define @t84 () (not (tptp.in @t78 @t83))) % 0.41/0.60 (define @t85 () (not (tptp.in @t78 @t55))) % 0.41/0.60 (define @t86 () (not (tptp.in @t78 @t1))) % 0.41/0.60 (define @t87 () (tptp.in @t14 @t58)) % 0.41/0.60 (define @t88 () (not @t87)) % 0.41/0.60 (define @t89 () (or @t88 @t86 @t85 @t84 @t82)) % 0.41/0.60 (define @t90 () (@list @t14 @t78)) % 0.41/0.60 (define @t91 () (forall @t90 @t89)) % 0.41/0.60 (define @t92 () (not @t35)) % 0.41/0.60 (define @t93 () (or @t92 @t91)) % 0.41/0.60 (define @t94 () (or @t86 @t85 @t84 @t82)) % 0.41/0.60 (define @t95 () (or @t88 @t94)) % 0.41/0.60 (define @t96 () (forall @t90 @t95)) % 0.41/0.60 (define @t97 () (@list @t78)) % 0.41/0.60 (define @t98 () (forall @t97 @t95)) % 0.41/0.60 (define @t99 () (forall @t97 @t94)) % 0.41/0.60 (define @t100 () (@list @t2)) % 0.41/0.60 (define @t101 () (or @t88 @t99)) % 0.41/0.60 (define @t102 () (tptp.in @t2 @t81)) % 0.41/0.60 (define @t103 () (tptp.in @t2 @t83)) % 0.41/0.60 (define @t104 () (tptp.in @t2 @t55)) % 0.41/0.60 (define @t105 () (tptp.in @t2 @t1)) % 0.41/0.60 (define @t106 () (not @t105)) % 0.41/0.60 (define @t107 () (forall @t26 (or @t106 (not @t104) (not @t103) @t102))) % 0.41/0.60 (define @t108 () (not @t30)) % 0.41/0.60 (define @t109 () (or @t108 @t107)) % 0.41/0.60 (define @t110 () (not @t21)) % 0.41/0.60 (define @t111 () (not @t24)) % 0.41/0.60 (define @t112 () (not @t4)) % 0.41/0.60 (define @t113 () (or @t112 @t111 @t110 @t19)) % 0.41/0.60 (define @t114 () (or @t111 @t110 @t19)) % 0.41/0.60 (define @t115 () (=> tptp.demorgan2b2 @t64)) % 0.41/0.60 (define @t116 () (tptp.in @t2 @t5)) % 0.41/0.60 (define @t117 () (tptp.binintersect @t1 @t5)) % 0.41/0.60 (define @t118 () (tptp.in @t2 @t117)) % 0.41/0.60 (define @t119 () (not @t7)) % 0.41/0.60 (define @t120 () (or @t119 @t11)) % 0.41/0.60 (define @t121 () (=> tptp.binintersectER @t115)) % 0.41/0.60 (define @t122 () (or @t119 @t4)) % 0.41/0.60 (define @t123 () (=> tptp.binintersectEL @t121)) % 0.41/0.60 (define @t124 () (or @t59 @t57 @t56 @t54)) % 0.41/0.60 (define @t125 () (or @t61 @t124)) % 0.41/0.60 (define @t126 () (forall @t63 @t125)) % 0.41/0.60 (define @t127 () (@list @t52 @t53)) % 0.41/0.60 (define @t128 () (forall @t127 @t125)) % 0.41/0.60 (define @t129 () (forall @t127 @t124)) % 0.41/0.60 (define @t130 () (@var "BOUND_VARIABLE_7596" $$unsorted)) % 0.41/0.60 (define @t131 () (or @t61 @t129)) % 0.41/0.60 (define @t132 () (tptp.in @t130 @t81)) % 0.41/0.60 (define @t133 () (tptp.binintersect @t55 @t83)) % 0.41/0.60 (define @t134 () (not (tptp.in @t130 @t133))) % 0.41/0.60 (define @t135 () (not (tptp.in @t130 @t1))) % 0.41/0.60 (define @t136 () (or @t88 @t135 @t134 @t132)) % 0.41/0.60 (define @t137 () (@list @t14 @t130)) % 0.41/0.60 (define @t138 () (forall @t137 @t136)) % 0.41/0.61 (define @t139 () (or @t92 @t138)) % 0.41/0.61 (define @t140 () (or @t135 @t134 @t132)) % 0.41/0.61 (define @t141 () (or @t88 @t140)) % 0.41/0.61 (define @t142 () (forall @t137 @t141)) % 0.41/0.61 (define @t143 () (@list @t130)) % 0.41/0.61 (define @t144 () (forall @t143 @t141)) % 0.41/0.61 (define @t145 () (forall @t143 @t140)) % 0.41/0.61 (define @t146 () (or @t88 @t145)) % 0.41/0.61 (define @t147 () (tptp.in @t2 @t133)) % 0.41/0.61 (define @t148 () (forall @t26 (or @t106 (not @t147) @t102))) % 0.41/0.61 (define @t149 () (or @t108 @t148)) % 0.41/0.61 (define @t150 () (not @t41)) % 0.41/0.61 (define @t151 () (or @t112 @t150 @t19)) % 0.41/0.61 (define @t152 () (@quantifiers_skolemize @t64 0)) % 0.41/0.61 (define @t153 () (tptp.powerset @t152)) % 0.41/0.61 (define @t154 () (@quantifiers_skolemize @t64 1)) % 0.41/0.61 (define @t155 () (tptp.in @t154 @t153)) % 0.41/0.61 (define @t156 () (@quantifiers_skolemize @t64 2)) % 0.41/0.61 (define @t157 () (@quantifiers_skolemize @t64 3)) % 0.41/0.61 (define @t158 () (tptp.in @t157 (tptp.setminus @t152 (tptp.binunion @t154 @t156)))) % 0.41/0.61 (define @t159 () (tptp.setminus @t152 @t156)) % 0.41/0.61 (define @t160 () (tptp.setminus @t152 @t154)) % 0.41/0.61 (define @t161 () (tptp.in @t157 (tptp.binintersect @t160 @t159))) % 0.41/0.61 (define @t162 () (not @t161)) % 0.41/0.61 (define @t163 () (tptp.in @t157 @t152)) % 0.41/0.61 (define @t164 () (not @t163)) % 0.41/0.61 (define @t165 () (tptp.in @t156 @t153)) % 0.41/0.61 (define @t166 () (not @t165)) % 0.41/0.61 (define @t167 () (not @t155)) % 0.41/0.61 (define @t168 () (or @t167 @t166 @t164 @t162 @t158)) % 0.41/0.61 (define @t169 () (@list true)) % 0.41/0.61 (define @t170 () (@list @t168)) % 0.41/0.61 (define @t171 () (@list @t160 @t159 @t157)) % 0.41/0.61 (define @t172 () (tptp.in @t157 @t160)) % 0.41/0.61 (define @t173 () (or @t162 @t172)) % 0.41/0.61 (define @t174 () (@list false false)) % 0.41/0.61 (define @t175 () (tptp.in @t157 @t159)) % 0.41/0.61 (define @t176 () (or @t162 @t175)) % 0.41/0.61 (define @t177 () (not @t175)) % 0.41/0.61 (define @t178 () (not @t172)) % 0.41/0.61 (define @t179 () (or @t167 @t166 @t164 @t178 @t177 @t158)) % 0.41/0.61 (assume @p1 @t10) % 0.41/0.61 (assume @p2 @t13) % 0.41/0.61 (assume @p3 @t39) % 0.41/0.61 (assume @p4 @t51) % 0.41/0.61 (assume @p5 true) % 0.41/0.61 (step @p6 :rule refl :args (@t64)) % 0.41/0.61 (step @p7 :rule aci_norm :args ((= @t73 (or @t61 @t71 @t70 @t69 @t68 @t67)))) % 0.41/0.61 (step @p8 :rule cong :premises (@p7) :args (@t74)) % 0.41/0.61 (step @p9 :rule quant-merge-prenex :args ((= (forall @t37 @t76) @t74))) % 0.41/0.61 (step @p10 :rule alpha_equiv :args (@t77 (@list @t65 @t66) (@list @t14 @t78))) % 0.41/0.61 (step @p11 :rule refl :args (@t61)) % 0.41/0.61 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t79)) % 0.41/0.61 (step @p13 :rule quant-miniscope-or :args ((= @t76 @t79))) % 0.41/0.61 (step @p14 :rule trans :premises (@p13 @p12)) % 0.41/0.61 (step @p15 :rule symm :premises (@p14)) % 0.41/0.61 (step @p16 :rule cong :premises (@p15) :args ((forall @t37 (or @t61 @t91)))) % 0.41/0.61 (step @p17 :rule trans :premises (@p16 @p9)) % 0.41/0.61 (step @p18 :rule trans :premises (@p17 @p8)) % 0.41/0.61 (step @p19 :rule refl :args (@t91)) % 0.41/0.61 (step @p20 :rule refl :args ((tptp.in @t15 @t28))) % 0.41/0.61 (step @p21 :rule refl :args (@t58)) % 0.41/0.61 (step @p22 :rule refl :args (@t15)) % 0.41/0.61 (step @p23 :rule cong :premises (@p22 @p21) :args (@t60)) % 0.41/0.61 (step @p24 :rule trans :premises (@p23 @p20)) % 0.41/0.61 (step @p25 :rule refl :args (@t34)) % 0.41/0.61 (step @p26 :rule ho_cong :premises (@p25 @p21)) % 0.41/0.61 (step @p27 :rule cong :premises (@p26 @p24) :args ((= (_ @t34 @t58) @t60))) % 0.41/0.61 (step @p28 :rule symm :premises (@p27)) % 0.41/0.61 (step @p29 :rule refl :args (@t35)) % 0.41/0.61 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.41/0.61 (step @p31 :rule refl :args (@t28)) % 0.41/0.61 (step @p32 :rule cong :premises (@p31 @p21) :args ((= @t28 @t58))) % 0.41/0.61 (step @p33 :rule symm :premises (@p32)) % 0.41/0.61 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.41/0.61 (step @p35 :rule ho_cong :premises (@p25 @p34)) % 0.41/0.61 (step @p36 :rule trans :premises (@p35 @p30)) % 0.41/0.61 (step @p37 :rule cong :premises (@p36) :args (@t92)) % 0.41/0.61 (step @p38 :rule nary_cong :premises (@p37 @p19) :args (@t93)) % 0.41/0.61 (step @p39 :rule cong :premises (@p38) :args ((forall @t37 @t93))) % 0.41/0.61 (step @p40 :rule trans :premises (@p39 @p18)) % 0.41/0.61 (step @p41 :rule bool-impl-elim :args (@t35 @t91)) % 0.41/0.61 (step @p42 :rule cong :premises (@p41) :args ((forall @t37 (=> @t35 @t91)))) % 0.41/0.61 (step @p43 :rule trans :premises (@p42 @p40)) % 0.41/0.61 (step @p44 :rule aci_norm :args ((= @t95 @t89))) % 0.41/0.61 (step @p45 :rule cong :premises (@p44) :args (@t96)) % 0.41/0.61 (step @p46 :rule quant-merge-prenex :args ((= (forall @t32 @t98) @t96))) % 0.41/0.61 (step @p47 :rule alpha_equiv :args (@t99 (@list @t78) @t100)) % 0.41/0.61 (step @p48 :rule refl :args (@t88)) % 0.41/0.61 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t101)) % 0.41/0.61 (step @p50 :rule quant-miniscope-or :args ((= @t98 @t101))) % 0.41/0.61 (step @p51 :rule trans :premises (@p50 @p49)) % 0.41/0.61 (step @p52 :rule symm :premises (@p51)) % 0.41/0.61 (step @p53 :rule cong :premises (@p52) :args ((forall @t32 (or @t88 @t107)))) % 0.41/0.61 (step @p54 :rule 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(step @p324 :rule nary_cong :premises (@p299 @p323) :args ((or @t168 (not @t162)))) % 0.41/0.61 (step @p325 :rule cnf_or_neg :args (@t168 3)) % 0.41/0.61 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.41/0.61 (step @p327 :rule reordering :premises (@p326) :args ((or @t161 @t168))) % 0.41/0.61 (step @p328 :rule chain_m_resolution :premises (@p327 @p297) :args (@t161 @t169 @t170)) % 0.41/0.61 (step @p329 :rule cnf_or_pos :args (@t173)) % 0.41/0.61 (step @p330 :rule reordering :premises (@p329) :args ((or @t162 @t172 (not @t173)))) % 0.41/0.61 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p322) :args (@t172 @t174 (@list @t161 @t173))) % 0.41/0.61 (step @p332 :rule not_implies_elim1 :premises (@p294)) % 0.41/0.61 (step @p333 :rule instantiate :premises (@p332) :args (@t171)) % 0.41/0.61 (step @p334 :rule cnf_or_pos :args (@t176)) % 0.41/0.61 (step @p335 :rule reordering :premises (@p334) :args ((or @t162 @t175 (not @t176)))) % 0.41/0.61 (step @p336 :rule chain_m_resolution :premises (@p335 @p328 @p333) :args (@t175 @t174 (@list @t161 @t176))) % 0.41/0.61 (step @p337 :rule cnf_or_pos :args (@t179)) % 0.41/0.61 (step @p338 :rule reordering :premises (@p337) :args ((or @t167 @t166 @t164 @t158 @t178 @t177 (not @t179)))) % 0.41/0.61 (step @p339 false :rule chain_m_resolution :premises (@p338 @p336 @p331 @p320 @p318 @p316 @p310 @p304) :args (false (@list false false false true false false false) (@list @t175 @t172 @t179 @t158 @t163 @t165 @t155))) % 0.41/0.61 ) % 0.41/0.61 % SZS output end Proof % 0.41/0.61 % cvc5 exiting %------------------------------------------------------------------------------