%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU761^2 : 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 : n016.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 08:53:05 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU761^2 : 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 % 0.16/0.35 % Computer : n016.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 17:51:24 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.binintersectI Bool) % 0.38/0.59 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.subsetE Bool) % 0.38/0.59 (declare-const tptp.subsetI1 Bool) % 0.38/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 0.38/0.59 (define @t4 () (@var "Xx" $$unsorted)) % 0.38/0.59 (define @t5 () (_ tptp.in @t4)) % 0.38/0.59 (define @t6 () (_ @t5 @t1)) % 0.38/0.59 (define @t7 () (_ @t5 @t2)) % 0.38/0.59 (define @t8 () (=> @t7 @t6)) % 0.38/0.59 (define @t9 () (@list @t4)) % 0.38/0.59 (define @t10 () (forall @t9 @t8)) % 0.38/0.59 (define @t11 () (=> @t10 @t3)) % 0.38/0.59 (define @t12 () (@list @t2 @t1)) % 0.38/0.59 (define @t13 () (forall @t12 @t11)) % 0.38/0.59 (define @t14 () (= tptp.subsetI1 @t13)) % 0.38/0.59 (define @t15 () (@list @t2 @t1 @t4)) % 0.38/0.59 (define @t16 () (forall @t15 (=> @t3 @t8))) % 0.38/0.59 (define @t17 () (= tptp.subsetE @t16)) % 0.38/0.59 (define @t18 () (_ (_ tptp.binintersect @t2) @t1)) % 0.38/0.59 (define @t19 () (_ @t5 @t18)) % 0.38/0.59 (define @t20 () (=> @t6 @t19)) % 0.38/0.59 (define @t21 () (forall @t15 (=> @t7 @t20))) % 0.38/0.59 (define @t22 () (= tptp.binintersectI @t21)) % 0.38/0.59 (define @t23 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t24 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t25 () (_ (_ tptp.binintersect @t24) @t23)) % 0.38/0.59 (define @t26 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t27 () (_ tptp.subset @t26)) % 0.38/0.59 (define @t28 () (_ @t27 @t25)) % 0.38/0.59 (define @t29 () (_ @t27 @t23)) % 0.38/0.59 (define @t30 () (=> @t29 @t28)) % 0.38/0.59 (define @t31 () (_ @t27 @t24)) % 0.38/0.59 (define @t32 () (=> @t31 @t30)) % 0.38/0.59 (define @t33 () (_ tptp.powerset @t2)) % 0.38/0.59 (define @t34 () (_ tptp.in @t23)) % 0.38/0.59 (define @t35 () (_ @t34 @t33)) % 0.38/0.59 (define @t36 () (@list @t23)) % 0.38/0.59 (define @t37 () (forall @t36 (=> @t35 @t32))) % 0.38/0.59 (define @t38 () (_ tptp.in @t24)) % 0.38/0.59 (define @t39 () (_ @t38 @t33)) % 0.38/0.59 (define @t40 () (=> @t39 @t37)) % 0.38/0.59 (define @t41 () (@list @t24)) % 0.38/0.59 (define @t42 () (forall @t41 @t40)) % 0.38/0.59 (define @t43 () (_ tptp.in @t26)) % 0.38/0.59 (define @t44 () (_ @t43 @t33)) % 0.38/0.59 (define @t45 () (=> @t44 @t42)) % 0.38/0.59 (define @t46 () (@list @t2 @t26)) % 0.38/0.59 (define @t47 () (forall @t46 @t45)) % 0.38/0.59 (define @t48 () (=> tptp.binintersectI @t47)) % 0.38/0.59 (define @t49 () (=> tptp.subsetE @t48)) % 0.38/0.59 (define @t50 () (=> tptp.subsetI1 @t49)) % 0.38/0.59 (define @t51 () (not @t50)) % 0.38/0.59 (define @t52 () (@var "BOUND_VARIABLE_7572" $$unsorted)) % 0.38/0.59 (define @t53 () (@var "BOUND_VARIABLE_7570" $$unsorted)) % 0.38/0.59 (define @t54 () (tptp.subset @t26 (tptp.binintersect @t53 @t52))) % 0.38/0.59 (define @t55 () (not (tptp.subset @t26 @t52))) % 0.38/0.59 (define @t56 () (tptp.powerset @t2)) % 0.38/0.59 (define @t57 () (not (tptp.in @t52 @t56))) % 0.38/0.59 (define @t58 () (not (tptp.subset @t26 @t53))) % 0.38/0.59 (define @t59 () (not (tptp.in @t53 @t56))) % 0.38/0.59 (define @t60 () (tptp.in @t26 @t56)) % 0.38/0.59 (define @t61 () (not @t60)) % 0.38/0.59 (define @t62 () (or @t61 @t59 @t58 @t57 @t55 @t54)) % 0.38/0.59 (define @t63 () (@list @t2 @t26 @t53 @t52)) % 0.38/0.59 (define @t64 () (forall @t63 @t62)) % 0.38/0.59 (define @t65 () (tptp.binintersect @t2 @t1)) % 0.38/0.59 (define @t66 () (tptp.in @t4 @t65)) % 0.38/0.59 (define @t67 () (tptp.in @t4 @t1)) % 0.38/0.59 (define @t68 () (not @t6)) % 0.38/0.59 (define @t69 () (tptp.in @t4 @t2)) % 0.38/0.59 (define @t70 () (not @t7)) % 0.38/0.59 (define @t71 () (or @t70 @t68 @t19)) % 0.38/0.59 (define @t72 () (=> tptp.binintersectI @t64)) % 0.38/0.59 (define @t73 () (tptp.subset @t2 @t1)) % 0.38/0.59 (define @t74 () (not @t3)) % 0.38/0.59 (define @t75 () (or @t74 @t70 @t6)) % 0.38/0.59 (define @t76 () (or @t70 @t6)) % 0.38/0.59 (define @t77 () (=> tptp.subsetE @t72)) % 0.38/0.59 (define @t78 () (not @t69)) % 0.38/0.59 (define @t79 () (forall @t9 (or @t78 @t67))) % 0.38/0.59 (define @t80 () (not @t79)) % 0.38/0.59 (define @t81 () (or @t80 @t3)) % 0.38/0.59 (define @t82 () (=> tptp.subsetI1 @t77)) % 0.38/0.59 (define @t83 () (or @t59 @t58 @t57 @t55 @t54)) % 0.38/0.59 (define @t84 () (or @t61 @t83)) % 0.38/0.59 (define @t85 () (forall @t63 @t84)) % 0.38/0.59 (define @t86 () (@list @t53 @t52)) % 0.38/0.59 (define @t87 () (forall @t86 @t84)) % 0.38/0.59 (define @t88 () (forall @t86 @t83)) % 0.38/0.59 (define @t89 () (@var "BOUND_VARIABLE_7546" $$unsorted)) % 0.38/0.59 (define @t90 () (or @t61 @t88)) % 0.38/0.59 (define @t91 () (tptp.subset @t26 (tptp.binintersect @t24 @t89))) % 0.38/0.59 (define @t92 () (not (tptp.subset @t26 @t89))) % 0.38/0.59 (define @t93 () (not (tptp.in @t89 @t56))) % 0.38/0.59 (define @t94 () (tptp.subset @t26 @t24)) % 0.38/0.59 (define @t95 () (not @t94)) % 0.38/0.59 (define @t96 () (tptp.in @t24 @t56)) % 0.38/0.59 (define @t97 () (not @t96)) % 0.38/0.59 (define @t98 () (or @t97 @t95 @t93 @t92 @t91)) % 0.38/0.59 (define @t99 () (@list @t24 @t89)) % 0.38/0.59 (define @t100 () (forall @t99 @t98)) % 0.38/0.59 (define @t101 () (not @t44)) % 0.38/0.59 (define @t102 () (or @t101 @t100)) % 0.38/0.59 (define @t103 () (or @t93 @t92 @t91)) % 0.38/0.59 (define @t104 () (or @t97 @t95 @t103)) % 0.38/0.59 (define @t105 () (forall @t99 @t104)) % 0.38/0.59 (define @t106 () (@list @t89)) % 0.38/0.59 (define @t107 () (forall @t106 @t104)) % 0.38/0.59 (define @t108 () (forall @t106 @t103)) % 0.38/0.59 (define @t109 () (or @t97 @t95 @t108)) % 0.38/0.59 (define @t110 () (tptp.binintersect @t24 @t23)) % 0.38/0.59 (define @t111 () (tptp.subset @t26 @t110)) % 0.38/0.59 (define @t112 () (tptp.subset @t26 @t23)) % 0.38/0.59 (define @t113 () (tptp.in @t23 @t56)) % 0.38/0.59 (define @t114 () (forall @t36 (or (not @t113) (not @t112) @t111))) % 0.38/0.59 (define @t115 () (not @t31)) % 0.38/0.59 (define @t116 () (not @t39)) % 0.38/0.59 (define @t117 () (or @t116 @t115 @t114)) % 0.38/0.59 (define @t118 () (or @t115 @t114)) % 0.38/0.59 (define @t119 () (not @t29)) % 0.38/0.59 (define @t120 () (not @t35)) % 0.38/0.59 (define @t121 () (or @t120 @t119 @t28)) % 0.38/0.59 (define @t122 () (forall @t36 @t121)) % 0.38/0.59 (define @t123 () (or @t115 @t122)) % 0.38/0.59 (define @t124 () (or @t115 @t121)) % 0.38/0.59 (define @t125 () (or @t120 @t115 @t119 @t28)) % 0.38/0.59 (define @t126 () (or @t115 @t119 @t28)) % 0.38/0.59 (define @t127 () (@quantifiers_skolemize @t64 3)) % 0.38/0.59 (define @t128 () (@quantifiers_skolemize @t64 2)) % 0.38/0.59 (define @t129 () (tptp.binintersect @t128 @t127)) % 0.38/0.59 (define @t130 () (@quantifiers_skolemize @t64 1)) % 0.38/0.59 (define @t131 () (forall @t9 (or (not (tptp.in @t4 @t130)) (tptp.in @t4 @t129)))) % 0.38/0.59 (define @t132 () (@quantifiers_skolemize @t131 0)) % 0.38/0.59 (define @t133 () (tptp.subset @t130 @t129)) % 0.38/0.59 (define @t134 () (tptp.subset @t130 @t127)) % 0.38/0.59 (define @t135 () (not @t134)) % 0.38/0.59 (define @t136 () (tptp.powerset (@quantifiers_skolemize @t64 0))) % 0.38/0.59 (define @t137 () (tptp.subset @t130 @t128)) % 0.38/0.59 (define @t138 () (not @t137)) % 0.38/0.59 (define @t139 () (or (not (tptp.in @t130 @t136)) (not (tptp.in @t128 @t136)) @t138 (not (tptp.in @t127 @t136)) @t135 @t133)) % 0.38/0.59 (define @t140 () (@list true)) % 0.38/0.59 (define @t141 () (@list @t139)) % 0.38/0.59 (define @t142 () (not @t131)) % 0.38/0.59 (define @t143 () (or @t142 @t133)) % 0.38/0.59 (define @t144 () (@list true false)) % 0.38/0.59 (define @t145 () (tptp.in @t132 @t130)) % 0.38/0.59 (define @t146 () (tptp.in @t132 @t129)) % 0.38/0.59 (define @t147 () (not @t145)) % 0.38/0.59 (define @t148 () (or @t147 @t146)) % 0.38/0.59 (define @t149 () (@list @t148)) % 0.38/0.59 (define @t150 () (tptp.in @t132 @t128)) % 0.38/0.59 (define @t151 () (or @t138 @t147 @t150)) % 0.38/0.59 (define @t152 () (tptp.in @t132 @t127)) % 0.38/0.59 (define @t153 () (not @t152)) % 0.38/0.59 (define @t154 () (not @t150)) % 0.38/0.59 (define @t155 () (or @t154 @t153 @t146)) % 0.38/0.59 (define @t156 () (or @t135 @t147 @t152)) % 0.38/0.59 (define @t157 () (not @t156)) % 0.38/0.59 (define @t158 () (forall @t15 (or (not @t73) @t78 @t67))) % 0.38/0.59 (assume @p1 @t14) % 0.38/0.59 (assume @p2 @t17) % 0.38/0.59 (assume @p3 @t22) % 0.38/0.59 (assume @p4 @t51) % 0.38/0.59 (assume @p5 true) % 0.38/0.59 (step @p6 :rule refl :args (@t64)) % 0.38/0.59 (step @p7 :rule refl :args ((tptp.in @t4 @t18))) % 0.38/0.59 (step @p8 :rule refl :args (@t65)) % 0.38/0.59 (step @p9 :rule refl :args (@t4)) % 0.38/0.59 (step @p10 :rule cong :premises (@p9 @p8) :args (@t66)) % 0.38/0.59 (step @p11 :rule trans :premises (@p10 @p7)) % 0.38/0.59 (step @p12 :rule refl :args (@t5)) % 0.38/0.59 (step @p13 :rule ho_cong :premises (@p12 @p8)) % 0.38/0.59 (step @p14 :rule cong :premises (@p13 @p11) :args ((= (_ @t5 @t65) @t66))) % 0.38/0.59 (step @p15 :rule symm :premises (@p14)) % 0.38/0.59 (step @p16 :rule refl :args (@t19)) % 0.38/0.59 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.38/0.59 (step @p18 :rule refl :args (@t18)) % 0.38/0.59 (step @p19 :rule cong :premises (@p18 @p8) :args ((= @t18 @t65))) % 0.38/0.59 (step @p20 :rule symm :premises (@p19)) % 0.38/0.59 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.38/0.59 (step @p22 :rule ho_cong :premises (@p12 @p21)) % 0.38/0.59 (step @p23 :rule trans :premises (@p22 @p17)) % 0.38/0.59 (step @p24 :rule refl :args (@t67)) % 0.38/0.59 (step @p25 :rule refl :args (@t6)) % 0.38/0.59 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t6 @t67))) % 0.38/0.59 (step @p27 :rule symm :premises (@p26)) % 0.38/0.59 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.38/0.59 (step @p29 :rule cong :premises (@p28) :args (@t68)) % 0.38/0.59 (step @p30 :rule refl :args (@t69)) % 0.38/0.59 (step @p31 :rule refl :args (@t7)) % 0.38/0.59 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t7 @t69))) % 0.38/0.59 (step @p33 :rule symm :premises (@p32)) % 0.38/0.59 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.59 (step @p35 :rule cong :premises (@p34) :args (@t70)) % 0.38/0.59 (step @p36 :rule nary_cong :premises (@p35 @p29 @p23) :args (@t71)) % 0.38/0.59 (step @p37 :rule cong :premises (@p36) :args ((forall @t15 @t71))) % 0.38/0.59 (step @p38 :rule aci_norm :args ((= (or @t70 (or @t68 @t19)) @t71))) % 0.38/0.59 (step @p39 :rule bool-impl-elim :args (@t6 @t19)) % 0.38/0.59 (step @p40 :rule refl :args (@t70)) % 0.38/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t70 @t20))) % 0.38/0.59 (step @p42 :rule trans :premises (@p41 @p38)) % 0.38/0.59 (step @p43 :rule bool-impl-elim :args (@t7 @t20)) % 0.38/0.59 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.59 (step @p45 :rule cong :premises (@p44) :args (@t21)) % 0.38/0.59 (step @p46 :rule trans :premises (@p45 @p37)) % 0.38/0.59 (step @p47 :rule refl :args (tptp.binintersectI)) % 0.38/0.59 (step @p48 :rule cong :premises (@p47 @p46) :args (@t22)) % 0.38/0.59 (step @p49 :rule eq_resolve :premises (@p3 @p48)) % 0.38/0.59 (step @p50 :rule cong :premises (@p49 @p6) :args (@t72)) % 0.38/0.59 (step @p51 :rule refl :args (@t73)) % 0.38/0.59 (step @p52 :rule refl :args (@t3)) % 0.38/0.59 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t3 @t73))) % 0.38/0.59 (step @p54 :rule symm :premises (@p53)) % 0.38/0.59 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.38/0.59 (step @p56 :rule cong :premises (@p55) :args (@t74)) % 0.38/0.59 (step @p57 :rule nary_cong :premises (@p56 @p35 @p28) :args (@t75)) % 0.38/0.59 (step @p58 :rule cong :premises (@p57) :args ((forall @t15 @t75))) % 0.38/0.59 (step @p59 :rule aci_norm :args ((= (or @t74 @t76) @t75))) % 0.38/0.59 (step @p60 :rule bool-impl-elim :args (@t7 @t6)) % 0.38/0.59 (step @p61 :rule refl :args (@t74)) % 0.38/0.59 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t74 @t8))) % 0.38/0.59 (step @p63 :rule trans :premises (@p62 @p59)) % 0.38/0.59 (step @p64 :rule bool-impl-elim :args (@t3 @t8)) % 0.38/0.59 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.59 (step @p66 :rule cong :premises (@p65) :args (@t16)) % 0.38/0.59 (step @p67 :rule trans :premises (@p66 @p58)) % 0.38/0.59 (step @p68 :rule refl :args (tptp.subsetE)) % 0.38/0.59 (step @p69 :rule cong :premises (@p68 @p67) :args (@t17)) % 0.38/0.59 (step @p70 :rule eq_resolve :premises (@p2 @p69)) % 0.38/0.59 (step @p71 :rule cong :premises (@p70 @p50) :args (@t77)) % 0.38/0.59 (step @p72 :rule refl :args (@t80)) % 0.38/0.59 (step @p73 :rule nary_cong :premises (@p72 @p55) :args (@t81)) % 0.38/0.59 (step @p74 :rule cong :premises (@p73) :args ((forall @t12 @t81))) % 0.38/0.59 (step @p75 :rule bool-impl-elim :args (@t79 @t3)) % 0.38/0.59 (step @p76 :rule cong :premises (@p75) :args ((forall @t12 (=> @t79 @t3)))) % 0.38/0.59 (step @p77 :rule trans :premises (@p76 @p74)) % 0.38/0.59 (step @p78 :rule refl :args (@t3)) % 0.38/0.59 (step @p79 :rule nary_cong :premises (@p35 @p28) :args (@t76)) % 0.38/0.59 (step @p80 :rule cong :premises (@p79) :args ((forall @t9 @t76))) % 0.38/0.59 (step @p81 :rule cong :premises (@p60) :args (@t10)) % 0.38/0.59 (step @p82 :rule trans :premises (@p81 @p80)) % 0.38/0.59 (step @p83 :rule cong :premises (@p82 @p78) :args (@t11)) % 0.38/0.59 (step @p84 :rule cong :premises (@p83) :args (@t13)) % 0.38/0.59 (step @p85 :rule trans :premises (@p84 @p77)) % 0.38/0.59 (step @p86 :rule refl :args (tptp.subsetI1)) % 0.38/0.59 (step @p87 :rule cong :premises (@p86 @p85) :args (@t14)) % 0.38/0.59 (step @p88 :rule eq_resolve :premises (@p1 @p87)) % 0.38/0.59 (step @p89 :rule cong :premises (@p88 @p71) :args (@t82)) % 0.38/0.59 (step @p90 :rule cong :premises (@p89) :args ((not @t82))) % 0.38/0.59 (step @p91 :rule aci_norm :args ((= @t84 @t62))) % 0.38/0.59 (step @p92 :rule cong :premises (@p91) :args (@t85)) % 0.38/0.59 (step @p93 :rule quant-merge-prenex :args ((= (forall @t46 @t87) @t85))) % 0.38/0.59 (step @p94 :rule alpha_equiv :args (@t88 (@list @t53 @t52) (@list @t24 @t89))) % 0.38/0.59 (step @p95 :rule refl :args (@t61)) % 0.38/0.59 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t90)) % 0.38/0.59 (step @p97 :rule quant-miniscope-or :args ((= @t87 @t90))) % 0.38/0.59 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.59 (step @p99 :rule symm :premises (@p98)) % 0.38/0.59 (step @p100 :rule cong :premises (@p99) :args ((forall @t46 (or @t61 @t100)))) % 0.38/0.59 (step @p101 :rule trans :premises (@p100 @p93)) % 0.38/0.59 (step @p102 :rule trans :premises (@p101 @p92)) % 0.38/0.59 (step @p103 :rule refl :args (@t100)) % 0.38/0.59 (step @p104 :rule refl :args ((tptp.in @t26 @t33))) % 0.38/0.59 (step @p105 :rule refl :args (@t56)) % 0.38/0.59 (step @p106 :rule refl :args (@t26)) % 0.38/0.59 (step @p107 :rule cong :premises (@p106 @p105) :args (@t60)) % 0.38/0.59 (step @p108 :rule trans :premises (@p107 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% 0.38/0.59 (step @p231 :rule trans :premises (@p230 @p168)) % 0.38/0.59 (step @p232 :rule refl :args (@t44)) % 0.38/0.59 (step @p233 :rule cong :premises (@p232 @p231) :args (@t45)) % 0.38/0.59 (step @p234 :rule cong :premises (@p233) :args (@t47)) % 0.38/0.59 (step @p235 :rule trans :premises (@p234 @p127)) % 0.38/0.59 (step @p236 :rule cong :premises (@p47 @p235) :args (@t48)) % 0.38/0.59 (step @p237 :rule cong :premises (@p68 @p236) :args (@t49)) % 0.38/0.59 (step @p238 :rule cong :premises (@p86 @p237) :args (@t50)) % 0.38/0.59 (step @p239 :rule cong :premises (@p238) :args (@t51)) % 0.38/0.59 (step @p240 :rule trans :premises (@p239 @p90)) % 0.38/0.59 (step @p241 :rule eq_resolve :premises (@p4 @p240)) % 0.38/0.59 (step @p242 :rule not_implies_elim2 :premises (@p241)) % 0.38/0.59 (step @p243 :rule not_implies_elim1 :premises (@p242)) % 0.38/0.59 (step @p244 :rule not_implies_elim2 :premises (@p242)) % 0.38/0.59 (step @p245 :rule not_implies_elim1 :premises (@p244)) % 0.38/0.59 (step @p246 :rule instantiate :premises (@p245) :args ((@list @t128 @t127 @t132))) % 0.38/0.59 (step @p247 :rule instantiate :premises (@p243) :args ((@list @t130 @t128 @t132))) % 0.38/0.59 (step @p248 :rule not_implies_elim1 :premises (@p241)) % 0.38/0.59 (step @p249 :rule instantiate :premises (@p248) :args ((@list @t130 @t129))) % 0.38/0.59 (step @p250 :rule not_implies_elim2 :premises (@p244)) % 0.38/0.59 (step @p251 :rule skolemize :premises (@p250)) % 0.38/0.59 (step @p252 :rule cnf_or_neg :args (@t139 5)) % 0.38/0.59 (step @p253 :rule chain_m_resolution :premises (@p252 @p251) :args ((not @t133) @t140 @t141)) % 0.38/0.59 (step @p254 :rule cnf_or_pos :args (@t143)) % 0.38/0.59 (step @p255 :rule reordering :premises (@p254) :args ((or @t133 @t142 (not @t143)))) % 0.38/0.59 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p249) :args (@t142 @t144 (@list @t133 @t143))) % 0.38/0.59 (step @p257 :rule skolemize :premises (@p256)) % 0.38/0.59 (step @p258 :rule bool-double-not-elim :args (@t145)) % 0.38/0.59 (step @p259 :rule refl :args (@t148)) % 0.38/0.59 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or @t148 (not @t147)))) % 0.38/0.59 (step @p261 :rule cnf_or_neg :args (@t148 0)) % 0.38/0.59 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 0.38/0.59 (step @p263 :rule reordering :premises (@p262) :args ((or @t145 @t148))) % 0.38/0.59 (step @p264 :rule chain_m_resolution :premises (@p263 @p257) :args (@t145 @t140 @t149)) % 0.38/0.59 (step @p265 :rule bool-double-not-elim :args (@t137)) % 0.38/0.59 (step @p266 :rule refl :args (@t139)) % 0.38/0.59 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or @t139 (not @t138)))) % 0.38/0.59 (step @p268 :rule cnf_or_neg :args (@t139 2)) % 0.38/0.59 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 0.38/0.59 (step @p270 :rule reordering :premises (@p269) :args ((or @t137 @t139))) % 0.38/0.59 (step @p271 :rule chain_m_resolution :premises (@p270 @p251) :args (@t137 @t140 @t141)) % 0.38/0.59 (step @p272 :rule cnf_or_pos :args (@t151)) % 0.38/0.59 (step @p273 :rule reordering :premises (@p272) :args ((or @t138 @t147 @t150 (not @t151)))) % 0.38/0.59 (step @p274 :rule chain_m_resolution :premises (@p273 @p271 @p264 @p247) :args (@t150 (@list false false false) (@list @t137 @t145 @t151))) % 0.38/0.59 (step @p275 :rule cnf_or_neg :args (@t148 1)) % 0.38/0.59 (step @p276 :rule chain_m_resolution :premises (@p275 @p257) :args ((not @t146) @t140 @t149)) % 0.38/0.59 (step @p277 :rule cnf_or_pos :args (@t155)) % 0.38/0.59 (step @p278 :rule reordering :premises (@p277) :args ((or @t146 @t154 @t153 (not @t155)))) % 0.38/0.59 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p274 @p246) :args (@t153 (@list true false false) (@list @t146 @t150 @t155))) % 0.38/0.59 (step @p280 :rule bool-double-not-elim :args (@t134)) % 0.38/0.59 (step @p281 :rule nary_cong :premises (@p266 @p280) :args ((or @t139 (not @t135)))) % 0.38/0.59 (step @p282 :rule cnf_or_neg :args (@t139 4)) % 0.38/0.59 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 0.38/0.59 (step @p284 :rule reordering :premises (@p283) :args ((or @t134 @t139))) % 0.38/0.59 (step @p285 :rule chain_m_resolution :premises (@p284 @p251) :args (@t134 @t140 @t141)) % 0.38/0.59 (step @p286 :rule cnf_or_pos :args (@t156)) % 0.38/0.59 (step @p287 :rule reordering :premises (@p286) :args ((or @t135 @t147 @t152 @t157))) % 0.38/0.59 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p264 @p279) :args (@t157 (@list false false true) (@list @t134 @t145 @t152))) % 0.38/0.59 (assume-push @p295 @t158) % 0.38/0.59 (step @p290 :rule instantiate :premises (@p243) :args ((@list @t130 @t127 @t132))) % 0.38/0.59 (step-pop @p296 :rule scope :premises (@p290)) % 0.38/0.59 (step @p291 :rule process_scope :premises (@p296) :args (@t156)) % 0.38/0.59 (step @p293 :rule implies_elim :premises (@p291)) % 0.38/0.59 (step @p294 false :rule chain_m_resolution :premises (@p293 @p288 @p243) :args (false @t144 (@list @t156 @t158))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------