%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU627^2 : 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 : n006.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 08:52:29 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU627^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:43:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.emptyset $$unsorted) % 0.37/0.58 (declare-const tptp.upairset2E Bool) % 0.37/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.upairinpowunion Bool) % 0.37/0.58 (declare-const tptp.subsetI2 Bool) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.singletoninpowunion Bool) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 0.37/0.58 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.58 (define @t5 () (_ tptp.in @t4)) % 0.37/0.58 (define @t6 () (_ @t5 @t1)) % 0.37/0.58 (define @t7 () (_ @t5 @t2)) % 0.37/0.58 (define @t8 () (@list @t4)) % 0.37/0.58 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.37/0.58 (define @t10 () (=> @t9 @t3)) % 0.37/0.58 (define @t11 () (@list @t2 @t1)) % 0.37/0.58 (define @t12 () (forall @t11 @t10)) % 0.37/0.58 (define @t13 () (= tptp.subsetI2 @t12)) % 0.37/0.58 (define @t14 () (_ (_ tptp.binunion @t2) @t1)) % 0.37/0.58 (define @t15 () (_ tptp.powerset @t14)) % 0.37/0.58 (define @t16 () (_ tptp.setadjoin @t4)) % 0.37/0.58 (define @t17 () (_ @t16 tptp.emptyset)) % 0.37/0.58 (define @t18 () (_ (_ tptp.in @t17) @t15)) % 0.37/0.58 (define @t19 () (@list @t2 @t1 @t4)) % 0.37/0.58 (define @t20 () (forall @t19 (=> @t7 @t18))) % 0.37/0.58 (define @t21 () (= tptp.singletoninpowunion @t20)) % 0.37/0.58 (define @t22 () (@var "Xy" $$unsorted)) % 0.37/0.58 (define @t23 () (@var "Xz" $$unsorted)) % 0.37/0.58 (define @t24 () (or (= @t23 @t4) (= @t23 @t22))) % 0.37/0.58 (define @t25 () (_ (_ tptp.setadjoin @t22) tptp.emptyset)) % 0.37/0.58 (define @t26 () (_ @t16 @t25)) % 0.37/0.58 (define @t27 () (_ tptp.in @t23)) % 0.37/0.58 (define @t28 () (_ @t27 @t26)) % 0.37/0.58 (define @t29 () (=> @t28 @t24)) % 0.37/0.58 (define @t30 () (@list @t4 @t22 @t23)) % 0.37/0.58 (define @t31 () (forall @t30 @t29)) % 0.37/0.58 (define @t32 () (= tptp.upairset2E @t31)) % 0.37/0.58 (define @t33 () (_ (_ tptp.in @t26) @t15)) % 0.37/0.58 (define @t34 () (_ (_ tptp.in @t22) @t1)) % 0.37/0.58 (define @t35 () (@list @t22)) % 0.37/0.58 (define @t36 () (forall @t35 (=> @t34 @t33))) % 0.37/0.58 (define @t37 () (=> @t7 @t36)) % 0.37/0.58 (define @t38 () (forall @t19 @t37)) % 0.37/0.58 (define @t39 () (= tptp.upairinpowunion @t38)) % 0.37/0.58 (define @t40 () (_ (_ tptp.setadjoin @t26) tptp.emptyset)) % 0.37/0.58 (define @t41 () (_ (_ tptp.setadjoin @t17) @t40)) % 0.37/0.58 (define @t42 () (_ (_ tptp.subset @t41) @t15)) % 0.37/0.58 (define @t43 () (forall @t35 (=> @t34 @t42))) % 0.37/0.58 (define @t44 () (=> @t7 @t43)) % 0.37/0.58 (define @t45 () (forall @t19 @t44)) % 0.37/0.58 (define @t46 () (=> tptp.upairinpowunion @t45)) % 0.37/0.58 (define @t47 () (=> tptp.upairset2E @t46)) % 0.37/0.58 (define @t48 () (=> tptp.singletoninpowunion @t47)) % 0.37/0.58 (define @t49 () (=> tptp.subsetI2 @t48)) % 0.37/0.58 (define @t50 () (not @t49)) % 0.37/0.58 (define @t51 () (tptp.binunion @t2 @t1)) % 0.37/0.58 (define @t52 () (tptp.powerset @t51)) % 0.37/0.58 (define @t53 () (@var "BOUND_VARIABLE_7584" $$unsorted)) % 0.37/0.58 (define @t54 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.37/0.58 (define @t55 () (tptp.subset (tptp.setadjoin @t54 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t53 tptp.emptyset)) tptp.emptyset)) @t52)) % 0.37/0.58 (define @t56 () (not (tptp.in @t53 @t1))) % 0.37/0.59 (define @t57 () (tptp.in @t4 @t2)) % 0.37/0.59 (define @t58 () (not @t57)) % 0.37/0.59 (define @t59 () (or @t58 @t56 @t55)) % 0.37/0.59 (define @t60 () (@list @t2 @t1 @t4 @t53)) % 0.37/0.59 (define @t61 () (forall @t60 @t59)) % 0.37/0.59 (define @t62 () (@var "BOUND_VARIABLE_7550" $$unsorted)) % 0.37/0.59 (define @t63 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t62 tptp.emptyset)) @t52)) % 0.37/0.59 (define @t64 () (not (tptp.in @t62 @t1))) % 0.37/0.59 (define @t65 () (or @t58 @t64 @t63)) % 0.37/0.59 (define @t66 () (or @t64 @t63)) % 0.37/0.59 (define @t67 () (or @t58 @t66)) % 0.37/0.59 (define @t68 () (@list @t2 @t1 @t4 @t62)) % 0.37/0.59 (define @t69 () (forall @t68 @t67)) % 0.37/0.59 (define @t70 () (@list @t62)) % 0.37/0.59 (define @t71 () (forall @t70 @t67)) % 0.37/0.59 (define @t72 () (forall @t70 @t66)) % 0.37/0.59 (define @t73 () (@list @t22)) % 0.37/0.59 (define @t74 () (or @t58 @t72)) % 0.37/0.59 (define @t75 () (tptp.setadjoin @t22 tptp.emptyset)) % 0.37/0.59 (define @t76 () (tptp.setadjoin @t4 @t75)) % 0.37/0.59 (define @t77 () (tptp.in @t76 @t52)) % 0.37/0.59 (define @t78 () (tptp.in @t22 @t1)) % 0.37/0.59 (define @t79 () (not @t78)) % 0.37/0.59 (define @t80 () (forall @t35 (or @t79 @t77))) % 0.37/0.59 (define @t81 () (not @t7)) % 0.37/0.59 (define @t82 () (or @t81 @t80)) % 0.37/0.59 (define @t83 () (not @t34)) % 0.37/0.59 (define @t84 () (or @t83 @t33)) % 0.37/0.59 (define @t85 () (=> tptp.upairinpowunion @t61)) % 0.37/0.59 (define @t86 () (= @t22 @t23)) % 0.37/0.59 (define @t87 () (= @t4 @t23)) % 0.37/0.59 (define @t88 () (tptp.in @t23 @t76)) % 0.37/0.59 (define @t89 () (not @t28)) % 0.37/0.59 (define @t90 () (or @t89 @t87 @t86)) % 0.37/0.59 (define @t91 () (or @t87 @t86)) % 0.37/0.59 (define @t92 () (=> tptp.upairset2E @t85)) % 0.37/0.59 (define @t93 () (tptp.in @t54 @t52)) % 0.37/0.59 (define @t94 () (or @t81 @t18)) % 0.37/0.59 (define @t95 () (=> tptp.singletoninpowunion @t92)) % 0.37/0.59 (define @t96 () (tptp.subset @t2 @t1)) % 0.37/0.59 (define @t97 () (tptp.in @t4 @t1)) % 0.37/0.59 (define @t98 () (forall @t8 (or @t58 @t97))) % 0.37/0.59 (define @t99 () (not @t98)) % 0.37/0.59 (define @t100 () (or @t99 @t3)) % 0.37/0.59 (define @t101 () (or @t81 @t6)) % 0.37/0.59 (define @t102 () (=> tptp.subsetI2 @t95)) % 0.37/0.59 (define @t103 () (or @t56 @t55)) % 0.37/0.59 (define @t104 () (or @t58 @t103)) % 0.37/0.59 (define @t105 () (forall @t60 @t104)) % 0.37/0.59 (define @t106 () (@list @t53)) % 0.37/0.59 (define @t107 () (forall @t106 @t104)) % 0.37/0.59 (define @t108 () (forall @t106 @t103)) % 0.37/0.59 (define @t109 () (or @t58 @t108)) % 0.37/0.59 (define @t110 () (tptp.setadjoin @t76 tptp.emptyset)) % 0.37/0.59 (define @t111 () (tptp.setadjoin @t54 @t110)) % 0.37/0.59 (define @t112 () (tptp.subset @t111 @t52)) % 0.37/0.59 (define @t113 () (forall @t35 (or @t79 @t112))) % 0.37/0.59 (define @t114 () (or @t81 @t113)) % 0.37/0.59 (define @t115 () (or @t83 @t42)) % 0.37/0.59 (define @t116 () (@quantifiers_skolemize @t61 1)) % 0.37/0.59 (define @t117 () (@quantifiers_skolemize @t61 0)) % 0.37/0.59 (define @t118 () (tptp.powerset (tptp.binunion @t117 @t116))) % 0.37/0.59 (define @t119 () (@quantifiers_skolemize @t61 3)) % 0.37/0.59 (define @t120 () (@quantifiers_skolemize @t61 2)) % 0.37/0.59 (define @t121 () (tptp.setadjoin @t120 (tptp.setadjoin @t119 tptp.emptyset))) % 0.37/0.59 (define @t122 () (tptp.setadjoin @t120 tptp.emptyset)) % 0.37/0.59 (define @t123 () (tptp.setadjoin @t122 (tptp.setadjoin @t121 tptp.emptyset))) % 0.37/0.59 (define @t124 () (forall @t8 (or (not (tptp.in @t4 @t123)) (tptp.in @t4 @t118)))) % 0.37/0.59 (define @t125 () (@quantifiers_skolemize @t124 0)) % 0.37/0.59 (define @t126 () (tptp.in @t120 @t117)) % 0.37/0.59 (define @t127 () (tptp.subset @t123 @t118)) % 0.37/0.59 (define @t128 () (tptp.in @t119 @t116)) % 0.37/0.59 (define @t129 () (not @t128)) % 0.37/0.59 (define @t130 () (not @t126)) % 0.37/0.59 (define @t131 () (or @t130 @t129 @t127)) % 0.37/0.59 (define @t132 () (@list true)) % 0.37/0.59 (define @t133 () (@list @t131)) % 0.37/0.59 (define @t134 () (tptp.in @t122 @t118)) % 0.37/0.59 (define @t135 () (or @t130 @t134)) % 0.37/0.59 (define @t136 () (not @t124)) % 0.37/0.59 (define @t137 () (or @t136 @t127)) % 0.37/0.59 (define @t138 () (@list true false)) % 0.37/0.59 (define @t139 () (tptp.in @t125 @t118)) % 0.37/0.59 (define @t140 () (tptp.in @t125 @t123)) % 0.37/0.59 (define @t141 () (not @t140)) % 0.37/0.59 (define @t142 () (or @t141 @t139)) % 0.37/0.59 (define @t143 () (not @t139)) % 0.37/0.59 (define @t144 () (@list @t142)) % 0.37/0.59 (define @t145 () (not @t134)) % 0.37/0.59 (define @t146 () (= @t122 @t125)) % 0.37/0.59 (define @t147 () (not @t146)) % 0.37/0.59 (define @t148 () (not @t143)) % 0.37/0.59 (define @t149 () (= @t121 @t125)) % 0.37/0.59 (define @t150 () (or @t141 @t146 @t149)) % 0.37/0.59 (define @t151 () (tptp.in @t121 @t118)) % 0.37/0.59 (define @t152 () (not @t151)) % 0.37/0.59 (define @t153 () (not @t149)) % 0.37/0.59 (define @t154 () (and @t143 @t149)) % 0.37/0.59 (define @t155 () (or @t130 @t129 @t151)) % 0.37/0.59 (define @t156 () (not @t155)) % 0.37/0.59 (define @t157 () (forall @t68 @t65)) % 0.37/0.59 (assume @p1 @t13) % 0.37/0.59 (assume @p2 @t21) % 0.37/0.59 (assume @p3 @t32) % 0.37/0.59 (assume @p4 @t39) % 0.37/0.59 (assume @p5 @t50) % 0.37/0.59 (assume @p6 true) % 0.37/0.59 (step @p7 :rule refl :args (@t61)) % 0.37/0.59 (step @p8 :rule aci_norm :args ((= @t67 @t65))) % 0.37/0.59 (step @p9 :rule cong :premises (@p8) :args (@t69)) % 0.37/0.59 (step @p10 :rule quant-merge-prenex :args ((= (forall @t19 @t71) @t69))) % 0.37/0.59 (step @p11 :rule alpha_equiv :args (@t72 (@list @t62) @t73)) % 0.37/0.59 (step @p12 :rule refl :args (@t58)) % 0.37/0.59 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t74)) % 0.37/0.59 (step @p14 :rule quant-miniscope-or :args ((= @t71 @t74))) % 0.37/0.59 (step @p15 :rule trans :premises (@p14 @p13)) % 0.37/0.59 (step @p16 :rule symm :premises (@p15)) % 0.37/0.59 (step @p17 :rule cong :premises (@p16) :args ((forall @t19 (or @t58 @t80)))) % 0.37/0.59 (step @p18 :rule trans :premises (@p17 @p10)) % 0.37/0.59 (step @p19 :rule trans :premises (@p18 @p9)) % 0.37/0.59 (step @p20 :rule refl :args (@t80)) % 0.37/0.59 (step @p21 :rule refl :args (@t57)) % 0.37/0.59 (step @p22 :rule refl :args (@t7)) % 0.37/0.59 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t7 @t57))) % 0.37/0.59 (step @p24 :rule symm :premises (@p23)) % 0.37/0.59 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.37/0.59 (step @p26 :rule cong :premises (@p25) :args (@t81)) % 0.37/0.59 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t82)) % 0.37/0.59 (step @p28 :rule cong :premises (@p27) :args ((forall @t19 @t82))) % 0.37/0.59 (step @p29 :rule trans :premises (@p28 @p19)) % 0.37/0.59 (step @p30 :rule bool-impl-elim :args (@t7 @t80)) % 0.37/0.59 (step @p31 :rule cong :premises (@p30) :args ((forall @t19 (=> @t7 @t80)))) % 0.37/0.59 (step @p32 :rule trans :premises (@p31 @p29)) % 0.37/0.59 (step @p33 :rule refl :args ((tptp.in @t26 @t15))) % 0.37/0.59 (step @p34 :rule refl :args ((tptp.powerset @t14))) % 0.37/0.59 (step @p35 :rule refl :args (@t51)) % 0.37/0.59 (step @p36 :rule cong :premises (@p35) :args (@t52)) % 0.37/0.59 (step @p37 :rule trans :premises (@p36 @p34)) % 0.37/0.59 (step @p38 :rule refl :args ((tptp.setadjoin @t4 @t25))) % 0.37/0.59 (step @p39 :rule refl :args (@t75)) % 0.37/0.59 (step @p40 :rule refl :args (@t4)) % 0.37/0.59 (step @p41 :rule cong :premises (@p40 @p39) :args (@t76)) % 0.37/0.59 (step @p42 :rule trans :premises (@p41 @p38)) % 0.37/0.59 (step @p43 :rule cong :premises (@p42 @p37) :args (@t77)) % 0.37/0.59 (step @p44 :rule trans :premises (@p43 @p33)) % 0.37/0.59 (step @p45 :rule refl :args (tptp.in)) % 0.37/0.59 (step @p46 :rule ho_cong :premises (@p45 @p42)) % 0.37/0.59 (step @p47 :rule ho_cong :premises (@p46 @p37)) % 0.37/0.59 (step @p48 :rule cong :premises (@p47 @p44) :args ((= (_ (_ tptp.in @t76) @t52) @t77))) % 0.37/0.59 (step @p49 :rule symm :premises (@p48)) % 0.37/0.59 (step @p50 :rule refl :args (@t33)) % 0.37/0.59 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.37/0.59 (step @p52 :rule refl :args (tptp.powerset)) % 0.37/0.59 (step @p53 :rule ho_cong :premises (@p52 @p35)) % 0.37/0.59 (step @p54 :rule cong :premises (@p53 @p37) :args ((= (_ tptp.powerset @t51) @t52))) % 0.37/0.59 (step @p55 :rule symm :premises (@p54)) % 0.37/0.59 (step @p56 :rule refl :args (@t15)) % 0.37/0.59 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.37/0.59 (step @p58 :rule refl :args (@t14)) % 0.37/0.59 (step @p59 :rule cong :premises (@p58 @p35) :args ((= @t14 @t51))) % 0.37/0.59 (step @p60 :rule symm :premises (@p59)) % 0.37/0.59 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.37/0.59 (step @p62 :rule ho_cong :premises (@p52 @p61)) % 0.37/0.59 (step @p63 :rule trans :premises (@p62 @p57)) % 0.37/0.59 (step @p64 :rule refl :args (@t16)) % 0.37/0.59 (step @p65 :rule ho_cong :premises (@p64 @p39)) % 0.37/0.59 (step @p66 :rule cong :premises (@p65 @p42) :args ((= (_ @t16 @t75) @t76))) % 0.37/0.59 (step @p67 :rule symm :premises (@p66)) % 0.37/0.59 (step @p68 :rule refl :args (@t26)) % 0.37/0.59 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.37/0.59 (step @p70 :rule refl :args (@t25)) % 0.37/0.59 (step @p71 :rule cong :premises (@p70 @p39) :args ((= @t25 @t75))) % 0.37/0.59 (step @p72 :rule symm :premises (@p71)) % 0.37/0.59 (step @p73 :rule eq_resolve :premises 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@p86)) % 0.37/0.59 (step @p90 :rule refl :args (@t7)) % 0.37/0.59 (step @p91 :rule cong :premises (@p90 @p89) :args (@t37)) % 0.37/0.59 (step @p92 :rule cong :premises (@p91) :args (@t38)) % 0.37/0.59 (step @p93 :rule trans :premises (@p92 @p32)) % 0.37/0.59 (step @p94 :rule refl :args (tptp.upairinpowunion)) % 0.37/0.59 (step @p95 :rule cong :premises (@p94 @p93) :args (@t39)) % 0.37/0.59 (step @p96 :rule eq_resolve :premises (@p4 @p95)) % 0.37/0.59 (step @p97 :rule cong :premises (@p96 @p7) :args (@t85)) % 0.37/0.59 (step @p98 :rule refl :args (@t86)) % 0.37/0.59 (step @p99 :rule refl :args (@t87)) % 0.37/0.59 (step @p100 :rule refl :args ((tptp.in @t23 @t26))) % 0.37/0.59 (step @p101 :rule refl :args (@t23)) % 0.37/0.59 (step @p102 :rule cong :premises (@p101 @p42) :args (@t88)) % 0.37/0.59 (step @p103 :rule trans :premises (@p102 @p100)) % 0.37/0.59 (step @p104 :rule refl :args (@t27)) % 0.37/0.59 (step @p105 :rule ho_cong :premises (@p104 @p42)) % 0.37/0.59 (step @p106 :rule cong 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:args (@t140)) % 0.37/0.59 (step @p312 :rule refl :args (@t142)) % 0.37/0.59 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t142 (not @t141)))) % 0.37/0.59 (step @p314 :rule cnf_or_neg :args (@t142 0)) % 0.37/0.59 (step @p315 :rule eq_resolve :premises (@p314 @p313)) % 0.37/0.59 (step @p316 :rule reordering :premises (@p315) :args ((or @t140 @t142))) % 0.37/0.59 (step @p317 :rule chain_m_resolution :premises (@p316 @p286) :args (@t140 @t132 @t144)) % 0.37/0.59 (step @p318 :rule cnf_or_pos :args (@t150)) % 0.37/0.59 (step @p319 :rule reordering :premises (@p318) :args ((or @t141 @t146 @t149 (not @t150)))) % 0.37/0.59 (step @p320 :rule chain_m_resolution :premises (@p319 @p317 @p310 @p264) :args (@t149 (@list false true false) (@list @t140 @t146 @t150))) % 0.37/0.59 (step @p321 :rule refl :args (@t152)) % 0.37/0.59 (step @p322 :rule refl :args (@t153)) % 0.37/0.59 (step @p323 :rule nary_cong :premises (@p291 @p322 @p321) :args ((or @t148 @t153 @t152))) % 0.37/0.59 (assume-push @p365 @t143) % 0.37/0.59 (assume-push @p366 @t149) % 0.37/0.59 (assume-push @p367 @t143) % 0.37/0.59 (assume-push @p368 @t149) % 0.37/0.59 (step @p297 :rule false_intro :premises (@p288)) % 0.37/0.59 (step @p298 :rule refl :args (@t118)) % 0.37/0.59 (step @p328 :rule cong :premises (@p366 @p298) :args (@t151)) % 0.37/0.59 (step @p329 :rule trans :premises (@p328 @p297)) % 0.37/0.59 (step @p330 :rule false_elim :premises (@p329)) % 0.37/0.59 (step-pop @p369 :rule scope :premises (@p330)) % 0.37/0.59 (step-pop @p370 :rule scope :premises (@p369)) % 0.37/0.59 (step @p331 :rule process_scope :premises (@p370) :args (@t152)) % 0.37/0.59 (step @p334 :rule and_intro :premises (@p288 @p366)) % 0.37/0.59 (step @p335 :rule modus_ponens :premises (@p334 @p331)) % 0.37/0.59 (step-pop @p371 :rule scope :premises (@p335)) % 0.37/0.59 (step-pop @p372 :rule scope :premises (@p371)) % 0.37/0.59 (step @p336 :rule process_scope :premises (@p372) :args (@t152)) % 0.37/0.59 (step @p339 :rule implies_elim :premises (@p336)) % 0.37/0.59 (step @p340 :rule cnf_and_neg :args (@t154)) % 0.37/0.59 (step @p341 :rule resolution :premises (@p340 @p339) :args (true @t154)) % 0.37/0.59 (step @p342 :rule eq_resolve :premises (@p341 @p323)) % 0.37/0.59 (step @p343 :rule chain_m_resolution :premises (@p342 @p288 @p320) :args (@t152 @t138 (@list @t139 @t149))) % 0.37/0.59 (step @p344 :rule bool-double-not-elim :args (@t128)) % 0.37/0.59 (step @p345 :rule nary_cong :premises (@p270 @p344) :args ((or @t131 (not @t129)))) % 0.37/0.59 (step @p346 :rule cnf_or_neg :args (@t131 1)) % 0.37/0.59 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.37/0.59 (step @p348 :rule reordering :premises (@p347) :args ((or @t128 @t131))) % 0.37/0.59 (step @p349 :rule chain_m_resolution :premises (@p348 @p268) :args (@t128 @t132 @t133)) % 0.37/0.59 (step @p350 :rule cnf_or_pos :args (@t155)) % 0.37/0.59 (step @p351 :rule reordering :premises (@p350) :args ((or @t130 @t129 @t151 @t156))) % 0.37/0.59 (step @p352 :rule chain_m_resolution :premises (@p351 @p275 @p349 @p343) :args (@t156 (@list false false true) (@list @t126 @t128 @t151))) % 0.37/0.59 (assume-push @p373 @t157) % 0.37/0.59 (step @p354 :rule instantiate :premises (@p262) :args ((@list @t117 @t116 @t120 @t119))) % 0.37/0.59 (step-pop @p374 :rule scope :premises (@p354)) % 0.37/0.59 (step @p355 :rule process_scope :premises (@p374) :args (@t155)) % 0.37/0.59 (step @p357 :rule implies_elim :premises (@p355)) % 0.37/0.59 (step @p358 false :rule chain_m_resolution :premises (@p357 @p352 @p262) :args (false @t138 (@list @t155 @t157))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------