%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU725^2 : 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 08:52:54 AM UTC 2026 % Result : Theorem 0.43s 0.63s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU725^2 : 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 % 0.19/0.35 % Computer : n019.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 17:49:34 EDT 2026 % 0.19/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.43/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.63 % SZS status Theorem % 0.43/0.63 % SZS output start Proof % 0.43/0.63 ( % 0.43/0.63 (declare-sort $$unsorted 0) % 0.43/0.63 (declare-const tptp.setminusER Bool) % 0.43/0.63 (declare-const tptp.complementT_lem Bool) % 0.43/0.63 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.setminusI Bool) % 0.43/0.63 (declare-const tptp.subsetTI Bool) % 0.43/0.63 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.subsetE Bool) % 0.43/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (define @t1 () (@var "B" $$unsorted)) % 0.43/0.63 (define @t2 () (@var "Xx" $$unsorted)) % 0.43/0.63 (define @t3 () (_ tptp.in @t2)) % 0.43/0.63 (define @t4 () (_ @t3 @t1)) % 0.43/0.63 (define @t5 () (@var "A" $$unsorted)) % 0.43/0.63 (define @t6 () (_ @t3 @t5)) % 0.43/0.63 (define @t7 () (=> @t6 @t4)) % 0.43/0.63 (define @t8 () (_ (_ tptp.subset @t5) @t1)) % 0.43/0.63 (define @t9 () (@list @t5 @t1 @t2)) % 0.43/0.63 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.43/0.63 (define @t11 () (= tptp.subsetE @t10)) % 0.43/0.63 (define @t12 () (_ tptp.setminus @t5)) % 0.43/0.63 (define @t13 () (_ @t12 @t1)) % 0.43/0.63 (define @t14 () (_ @t3 @t13)) % 0.43/0.63 (define @t15 () (not @t4)) % 0.43/0.63 (define @t16 () (=> @t15 @t14)) % 0.43/0.63 (define @t17 () (forall @t9 (=> @t6 @t16))) % 0.43/0.63 (define @t18 () (= tptp.setminusI @t17)) % 0.43/0.63 (define @t19 () (forall @t9 (=> @t14 @t15))) % 0.43/0.63 (define @t20 () (= tptp.setminusER @t19)) % 0.43/0.63 (define @t21 () (_ tptp.powerset @t5)) % 0.43/0.63 (define @t22 () (@var "X" $$unsorted)) % 0.43/0.63 (define @t23 () (_ @t12 @t22)) % 0.43/0.63 (define @t24 () (_ (_ tptp.in @t23) @t21)) % 0.43/0.63 (define @t25 () (_ tptp.in @t22)) % 0.43/0.63 (define @t26 () (_ @t25 @t21)) % 0.43/0.63 (define @t27 () (@list @t5 @t22)) % 0.43/0.63 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.43/0.63 (define @t29 () (= tptp.complementT_lem @t28)) % 0.43/0.63 (define @t30 () (@var "Y" $$unsorted)) % 0.43/0.63 (define @t31 () (_ (_ tptp.subset @t22) @t30)) % 0.43/0.63 (define @t32 () (_ @t3 @t30)) % 0.43/0.63 (define @t33 () (_ @t3 @t22)) % 0.43/0.63 (define @t34 () (=> @t33 @t32)) % 0.43/0.63 (define @t35 () (@list @t2)) % 0.43/0.63 (define @t36 () (forall @t35 (=> @t6 @t34))) % 0.43/0.63 (define @t37 () (=> @t36 @t31)) % 0.43/0.63 (define @t38 () (_ tptp.in @t30)) % 0.43/0.63 (define @t39 () (_ @t38 @t21)) % 0.43/0.63 (define @t40 () (=> @t39 @t37)) % 0.43/0.63 (define @t41 () (@list @t30)) % 0.43/0.63 (define @t42 () (forall @t41 @t40)) % 0.43/0.63 (define @t43 () (=> @t26 @t42)) % 0.43/0.63 (define @t44 () (forall @t27 @t43)) % 0.43/0.63 (define @t45 () (= tptp.subsetTI @t44)) % 0.43/0.63 (define @t46 () (_ @t12 @t30)) % 0.43/0.63 (define @t47 () (_ (_ tptp.subset @t46) @t23)) % 0.43/0.63 (define @t48 () (=> @t31 @t47)) % 0.43/0.63 (define @t49 () (forall @t41 (=> @t39 @t48))) % 0.43/0.63 (define @t50 () (=> @t26 @t49)) % 0.43/0.63 (define @t51 () (forall @t27 @t50)) % 0.43/0.63 (define @t52 () (=> tptp.subsetTI @t51)) % 0.43/0.63 (define @t53 () (=> tptp.complementT_lem @t52)) % 0.43/0.63 (define @t54 () (=> tptp.setminusER @t53)) % 0.43/0.63 (define @t55 () (=> tptp.setminusI @t54)) % 0.43/0.63 (define @t56 () (=> tptp.subsetE @t55)) % 0.43/0.63 (define @t57 () (not @t56)) % 0.43/0.63 (define @t58 () (tptp.setminus @t5 @t22)) % 0.43/0.63 (define @t59 () (@var "BOUND_VARIABLE_7597" $$unsorted)) % 0.43/0.63 (define @t60 () (tptp.subset (tptp.setminus @t5 @t59) @t58)) % 0.43/0.63 (define @t61 () (not (tptp.subset @t22 @t59))) % 0.43/0.63 (define @t62 () (tptp.powerset @t5)) % 0.43/0.63 (define @t63 () (not (tptp.in @t59 @t62))) % 0.43/0.63 (define @t64 () (tptp.in @t22 @t62)) % 0.43/0.63 (define @t65 () (not @t64)) % 0.43/0.63 (define @t66 () (or @t65 @t63 @t61 @t60)) % 0.43/0.63 (define @t67 () (@list @t5 @t22 @t59)) % 0.43/0.63 (define @t68 () (forall @t67 @t66)) % 0.43/0.63 (define @t69 () (@var "BOUND_VARIABLE_7563" $$unsorted)) % 0.43/0.63 (define @t70 () (tptp.subset @t22 @t69)) % 0.43/0.63 (define @t71 () (tptp.in @t2 @t22)) % 0.43/0.63 (define @t72 () (not @t71)) % 0.43/0.63 (define @t73 () (tptp.in @t2 @t5)) % 0.43/0.63 (define @t74 () (not @t73)) % 0.43/0.63 (define @t75 () (not (forall @t35 (or @t74 @t72 (tptp.in @t2 @t69))))) % 0.43/0.63 (define @t76 () (not (tptp.in @t69 @t62))) % 0.43/0.63 (define @t77 () (or @t76 @t75 @t70)) % 0.43/0.63 (define @t78 () (or @t65 @t77)) % 0.43/0.63 (define @t79 () (forall (@list @t5 @t22 @t69) @t78)) % 0.43/0.63 (define @t80 () (@list @t69)) % 0.43/0.63 (define @t81 () (forall @t80 @t78)) % 0.43/0.63 (define @t82 () (forall @t80 @t77)) % 0.43/0.63 (define @t83 () (@list @t30)) % 0.43/0.63 (define @t84 () (or @t65 @t82)) % 0.43/0.63 (define @t85 () (tptp.subset @t22 @t30)) % 0.43/0.63 (define @t86 () (tptp.in @t2 @t30)) % 0.43/0.63 (define @t87 () (forall @t35 (or @t74 @t72 @t86))) % 0.43/0.63 (define @t88 () (not @t87)) % 0.43/0.63 (define @t89 () (tptp.in @t30 @t62)) % 0.43/0.63 (define @t90 () (not @t89)) % 0.43/0.63 (define @t91 () (forall @t41 (or @t90 @t88 @t85))) % 0.43/0.63 (define @t92 () (not @t26)) % 0.43/0.63 (define @t93 () (or @t92 @t91)) % 0.43/0.63 (define @t94 () (not @t39)) % 0.43/0.63 (define @t95 () (or @t94 @t88 @t31)) % 0.43/0.63 (define @t96 () (=> @t87 @t31)) % 0.43/0.63 (define @t97 () (not @t33)) % 0.43/0.63 (define @t98 () (not @t6)) % 0.43/0.63 (define @t99 () (or @t98 @t97 @t32)) % 0.43/0.63 (define @t100 () (=> tptp.subsetTI @t68)) % 0.43/0.63 (define @t101 () (tptp.in @t58 @t62)) % 0.43/0.63 (define @t102 () (or @t92 @t24)) % 0.43/0.63 (define @t103 () (=> tptp.complementT_lem @t100)) % 0.43/0.63 (define @t104 () (tptp.in @t2 @t1)) % 0.43/0.63 (define @t105 () (tptp.setminus @t5 @t1)) % 0.43/0.63 (define @t106 () (tptp.in @t2 @t105)) % 0.43/0.63 (define @t107 () (not @t14)) % 0.43/0.63 (define @t108 () (or @t107 @t15)) % 0.43/0.63 (define @t109 () (=> tptp.setminusER @t103)) % 0.43/0.63 (define @t110 () (or @t98 @t4 @t14)) % 0.43/0.63 (define @t111 () (=> tptp.setminusI @t109)) % 0.43/0.63 (define @t112 () (tptp.subset @t5 @t1)) % 0.43/0.63 (define @t113 () (not @t8)) % 0.43/0.63 (define @t114 () (or @t113 @t98 @t4)) % 0.43/0.63 (define @t115 () (=> tptp.subsetE @t111)) % 0.43/0.63 (define @t116 () (or @t63 @t61 @t60)) % 0.43/0.63 (define @t117 () (or @t65 @t116)) % 0.43/0.63 (define @t118 () (forall @t67 @t117)) % 0.43/0.63 (define @t119 () (@list @t59)) % 0.43/0.63 (define @t120 () (forall @t119 @t117)) % 0.43/0.63 (define @t121 () (forall @t119 @t116)) % 0.43/0.63 (define @t122 () (or @t65 @t121)) % 0.43/0.63 (define @t123 () (tptp.setminus @t5 @t30)) % 0.43/0.63 (define @t124 () (tptp.subset @t123 @t58)) % 0.43/0.63 (define @t125 () (forall @t41 (or @t90 (not @t85) @t124))) % 0.43/0.63 (define @t126 () (or @t92 @t125)) % 0.43/0.63 (define @t127 () (not @t31)) % 0.43/0.63 (define @t128 () (or @t94 @t127 @t47)) % 0.43/0.63 (define @t129 () (@quantifiers_skolemize @t68 1)) % 0.43/0.63 (define @t130 () (@quantifiers_skolemize @t68 0)) % 0.43/0.63 (define @t131 () (tptp.setminus @t130 @t129)) % 0.43/0.63 (define @t132 () (@quantifiers_skolemize @t68 2)) % 0.43/0.63 (define @t133 () (tptp.setminus @t130 @t132)) % 0.43/0.63 (define @t134 () (forall @t35 (or (not (tptp.in @t2 @t130)) (not (tptp.in @t2 @t133)) (tptp.in @t2 @t131)))) % 0.43/0.63 (define @t135 () (@quantifiers_skolemize @t134 0)) % 0.43/0.63 (define @t136 () (tptp.powerset @t130)) % 0.43/0.63 (define @t137 () (tptp.in @t132 @t136)) % 0.43/0.63 (define @t138 () (tptp.subset @t133 @t131)) % 0.43/0.63 (define @t139 () (tptp.subset @t129 @t132)) % 0.43/0.63 (define @t140 () (not @t139)) % 0.43/0.63 (define @t141 () (not @t137)) % 0.43/0.63 (define @t142 () (tptp.in @t129 @t136)) % 0.43/0.63 (define @t143 () (not @t142)) % 0.43/0.63 (define @t144 () (or @t143 @t141 @t140 @t138)) % 0.43/0.63 (define @t145 () (@list true)) % 0.43/0.63 (define @t146 () (@list @t144)) % 0.43/0.63 (define @t147 () (tptp.in @t133 @t136)) % 0.43/0.63 (define @t148 () (or @t141 @t147)) % 0.43/0.63 (define @t149 () (@list false false)) % 0.43/0.63 (define @t150 () (tptp.in @t131 @t136)) % 0.43/0.63 (define @t151 () (or @t143 @t150)) % 0.43/0.63 (define @t152 () (not @t134)) % 0.43/0.63 (define @t153 () (not @t150)) % 0.43/0.63 (define @t154 () (not @t147)) % 0.43/0.63 (define @t155 () (or @t154 @t153 @t152 @t138)) % 0.43/0.63 (define @t156 () (tptp.in @t135 @t131)) % 0.43/0.63 (define @t157 () (tptp.in @t135 @t133)) % 0.43/0.63 (define @t158 () (not @t157)) % 0.43/0.63 (define @t159 () (tptp.in @t135 @t130)) % 0.43/0.63 (define @t160 () (not @t159)) % 0.43/0.63 (define @t161 () (or @t160 @t158 @t156)) % 0.43/0.63 (define @t162 () (@list @t161)) % 0.43/0.63 (define @t163 () (tptp.in @t135 @t129)) % 0.43/0.63 (define @t164 () (or @t160 @t163 @t156)) % 0.43/0.63 (define @t165 () (@list false true false)) % 0.43/0.63 (define @t166 () (tptp.in @t135 @t132)) % 0.43/0.63 (define @t167 () (not @t166)) % 0.43/0.63 (define @t168 () (or @t158 @t167)) % 0.43/0.63 (define @t169 () (not @t163)) % 0.43/0.63 (define @t170 () (or @t140 @t169 @t166)) % 0.43/0.63 (define @t171 () (not @t170)) % 0.43/0.63 (define @t172 () (forall @t9 (or (not @t112) @t74 @t104))) % 0.43/0.63 (assume @p1 @t11) % 0.43/0.63 (assume @p2 @t18) % 0.43/0.63 (assume @p3 @t20) % 0.43/0.63 (assume @p4 @t29) % 0.43/0.63 (assume @p5 @t45) % 0.43/0.63 (assume @p6 @t57) % 0.43/0.63 (assume @p7 true) % 0.43/0.63 (step @p8 :rule refl :args (@t68)) % 0.43/0.63 (step @p9 :rule aci_norm :args ((= @t78 (or @t65 @t76 @t75 @t70)))) % 0.43/0.63 (step @p10 :rule cong :premises (@p9) :args (@t79)) % 0.43/0.63 (step @p11 :rule quant-merge-prenex :args ((= (forall @t27 @t81) @t79))) % 0.43/0.63 (step @p12 :rule alpha_equiv :args (@t82 (@list @t69) @t83)) % 0.43/0.63 (step @p13 :rule refl :args (@t65)) % 0.43/0.63 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t84)) % 0.43/0.63 (step @p15 :rule quant-miniscope-or :args ((= @t81 @t84))) % 0.43/0.63 (step @p16 :rule trans :premises (@p15 @p14)) % 0.43/0.63 (step @p17 :rule symm :premises (@p16)) % 0.43/0.63 (step @p18 :rule cong :premises (@p17) :args ((forall @t27 (or @t65 @t91)))) % 0.43/0.63 (step @p19 :rule trans :premises (@p18 @p11)) % 0.43/0.63 (step @p20 :rule trans :premises (@p19 @p10)) % 0.43/0.63 (step @p21 :rule refl :args (@t91)) % 0.43/0.63 (step @p22 :rule refl :args ((tptp.in @t22 @t21))) % 0.43/0.63 (step @p23 :rule refl :args (@t62)) % 0.43/0.63 (step @p24 :rule refl :args (@t22)) % 0.43/0.63 (step @p25 :rule cong :premises (@p24 @p23) :args (@t64)) % 0.43/0.63 (step @p26 :rule trans :premises (@p25 @p22)) % 0.43/0.63 (step @p27 :rule refl :args (@t25)) % 0.43/0.63 (step @p28 :rule ho_cong :premises (@p27 @p23)) % 0.43/0.63 (step @p29 :rule cong :premises (@p28 @p26) :args ((= (_ @t25 @t62) @t64))) % 0.43/0.63 (step @p30 :rule symm :premises (@p29)) % 0.43/0.63 (step @p31 :rule refl :args (@t26)) % 0.43/0.63 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.43/0.63 (step @p33 :rule refl :args (@t21)) % 0.43/0.63 (step @p34 :rule cong :premises (@p33 @p23) :args ((= @t21 @t62))) % 0.43/0.63 (step @p35 :rule symm :premises (@p34)) % 0.43/0.63 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.43/0.63 (step @p37 :rule ho_cong :premises (@p27 @p36)) % 0.43/0.63 (step @p38 :rule trans :premises (@p37 @p32)) % 0.43/0.63 (step @p39 :rule cong :premises (@p38) :args (@t92)) % 0.43/0.63 (step @p40 :rule nary_cong :premises (@p39 @p21) :args (@t93)) % 0.43/0.63 (step @p41 :rule cong :premises (@p40) :args ((forall @t27 @t93))) % 0.43/0.63 (step @p42 :rule trans :premises (@p41 @p20)) % 0.43/0.63 (step @p43 :rule bool-impl-elim :args (@t26 @t91)) % 0.43/0.63 (step @p44 :rule cong :premises (@p43) :args ((forall @t27 (=> @t26 @t91)))) % 0.43/0.63 (step @p45 :rule trans :premises (@p44 @p42)) % 0.43/0.63 (step @p46 :rule refl :args (@t85)) % 0.43/0.63 (step @p47 :rule refl :args (@t31)) % 0.43/0.63 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t31 @t85))) % 0.43/0.63 (step @p49 :rule symm :premises (@p48)) % 0.43/0.63 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.43/0.63 (step @p51 :rule refl :args (@t88)) % 0.43/0.63 (step @p52 :rule refl :args ((tptp.in @t30 @t21))) % 0.43/0.63 (step @p53 :rule refl :args (@t30)) % 0.43/0.63 (step @p54 :rule cong :premises (@p53 @p23) :args (@t89)) % 0.43/0.63 (step @p55 :rule trans :premises (@p54 @p52)) % 0.43/0.63 (step @p56 :rule refl :args (@t38)) % 0.43/0.63 (step @p57 :rule ho_cong :premises (@p56 @p23)) % 0.43/0.63 (step @p58 :rule cong :premises (@p57 @p55) :args ((= (_ @t38 @t62) @t89))) % 0.43/0.63 (step @p59 :rule symm :premises (@p58)) % 0.43/0.63 (step @p60 :rule refl :args (@t39)) % 0.43/0.63 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.43/0.63 (step @p62 :rule ho_cong :premises (@p56 @p36)) % 0.43/0.63 (step @p63 :rule trans :premises (@p62 @p61)) % 0.43/0.63 (step @p64 :rule cong :premises (@p63) :args (@t94)) % 0.43/0.63 (step @p65 :rule nary_cong :premises (@p64 @p51 @p50) :args (@t95)) % 0.43/0.63 (step @p66 :rule cong :premises (@p65) :args ((forall @t41 @t95))) % 0.43/0.63 (step @p67 :rule aci_norm :args ((= (or @t94 (or @t88 @t31)) @t95))) % 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(@t157)) % 0.43/0.64 (step @p329 :rule nary_cong :premises (@p317 @p328) :args ((or @t161 (not @t158)))) % 0.43/0.64 (step @p330 :rule cnf_or_neg :args (@t161 1)) % 0.43/0.64 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 0.43/0.64 (step @p332 :rule reordering :premises (@p331) :args ((or @t157 @t161))) % 0.43/0.64 (step @p333 :rule chain_m_resolution :premises (@p332 @p313) :args (@t157 @t145 @t162)) % 0.43/0.64 (step @p334 :rule cnf_or_pos :args (@t168)) % 0.43/0.64 (step @p335 :rule reordering :premises (@p334) :args ((or @t158 @t167 (not @t168)))) % 0.43/0.64 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p327) :args (@t167 @t149 (@list @t157 @t168))) % 0.43/0.64 (step @p337 :rule bool-double-not-elim :args (@t139)) % 0.43/0.64 (step @p338 :rule nary_cong :premises (@p289 @p337) :args ((or @t144 (not @t140)))) % 0.43/0.64 (step @p339 :rule cnf_or_neg :args (@t144 2)) % 0.43/0.64 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 0.43/0.64 (step @p341 :rule reordering :premises (@p340) :args ((or @t139 @t144))) % 0.43/0.64 (step @p342 :rule chain_m_resolution :premises (@p341 @p287) :args (@t139 @t145 @t146)) % 0.43/0.64 (step @p343 :rule cnf_or_pos :args (@t170)) % 0.43/0.64 (step @p344 :rule reordering :premises (@p343) :args ((or @t140 @t166 @t169 @t171))) % 0.43/0.64 (step @p345 :rule chain_m_resolution :premises (@p344 @p342 @p336 @p325) :args (@t171 @t165 (@list @t139 @t166 @t163))) % 0.43/0.64 (assume-push @p352 @t172) % 0.43/0.64 (step @p347 :rule instantiate :premises (@p275) :args ((@list @t129 @t132 @t135))) % 0.43/0.64 (step-pop @p353 :rule scope :premises (@p347)) % 0.43/0.64 (step @p348 :rule process_scope :premises (@p353) :args (@t170)) % 0.43/0.64 (step @p350 :rule implies_elim :premises (@p348)) % 0.43/0.64 (step @p351 false :rule chain_m_resolution :premises (@p350 @p345 @p275) :args (false (@list true false) (@list @t170 @t172))) % 0.43/0.64 ) % 0.43/0.64 % SZS output end Proof % 0.43/0.64 % cvc5 exiting %------------------------------------------------------------------------------