%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU653^2 : 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 : n025.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 08:52:35 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU653^2 : 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 % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:44:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TH0 % 0.39/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.setukpairinjR1 Bool) % 0.39/0.61 (declare-const tptp.setukpairinjL2 Bool) % 0.39/0.61 (declare-const tptp.upairset2E Bool) % 0.39/0.61 (declare-const tptp.secondinupair Bool) % 0.39/0.61 (declare-const tptp.upairequniteq Bool) % 0.39/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.emptyset $$unsorted) % 0.39/0.61 (define @t1 () (@var "Xy" $$unsorted)) % 0.39/0.61 (define @t2 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.39/0.61 (define @t3 () (@var "Xx" $$unsorted)) % 0.39/0.61 (define @t4 () (_ tptp.setadjoin @t3)) % 0.39/0.61 (define @t5 () (_ @t4 @t2)) % 0.39/0.61 (define @t6 () (_ tptp.in @t1)) % 0.39/0.61 (define @t7 () (_ @t6 @t5)) % 0.39/0.61 (define @t8 () (forall (@list @t3 @t1) @t7)) % 0.39/0.61 (define @t9 () (= tptp.secondinupair @t8)) % 0.39/0.61 (define @t10 () (@var "Xz" $$unsorted)) % 0.39/0.61 (define @t11 () (or (= @t10 @t3) (= @t10 @t1))) % 0.39/0.61 (define @t12 () (_ tptp.in @t10)) % 0.39/0.61 (define @t13 () (_ @t12 @t5)) % 0.39/0.61 (define @t14 () (=> @t13 @t11)) % 0.39/0.61 (define @t15 () (@list @t3 @t1 @t10)) % 0.39/0.61 (define @t16 () (forall @t15 @t14)) % 0.39/0.61 (define @t17 () (= tptp.upairset2E @t16)) % 0.39/0.61 (define @t18 () (= @t3 @t10)) % 0.39/0.61 (define @t19 () (@var "Xu" $$unsorted)) % 0.39/0.61 (define @t20 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.39/0.61 (define @t21 () (_ tptp.setadjoin @t10)) % 0.39/0.61 (define @t22 () (_ @t21 @t20)) % 0.39/0.61 (define @t23 () (_ (_ tptp.setadjoin @t22) tptp.emptyset)) % 0.39/0.61 (define @t24 () (_ @t21 tptp.emptyset)) % 0.39/0.61 (define @t25 () (_ (_ tptp.setadjoin @t24) @t23)) % 0.39/0.61 (define @t26 () (_ (_ tptp.setadjoin @t5) tptp.emptyset)) % 0.39/0.61 (define @t27 () (_ @t4 tptp.emptyset)) % 0.39/0.61 (define @t28 () (_ (_ tptp.setadjoin @t27) @t26)) % 0.39/0.61 (define @t29 () (= @t28 @t25)) % 0.39/0.61 (define @t30 () (@list @t3 @t1 @t10 @t19)) % 0.39/0.61 (define @t31 () (forall @t30 (=> @t29 @t18))) % 0.39/0.61 (define @t32 () (= tptp.setukpairinjL2 @t31)) % 0.39/0.61 (define @t33 () (= @t1 @t19)) % 0.39/0.61 (define @t34 () (= @t10 @t19)) % 0.39/0.61 (define @t35 () (=> @t34 @t33)) % 0.39/0.61 (define @t36 () (forall @t30 (=> @t29 @t35))) % 0.39/0.61 (define @t37 () (= tptp.setukpairinjR1 @t36)) % 0.39/0.61 (define @t38 () (= @t3 @t1)) % 0.39/0.61 (define @t39 () (= @t5 @t24)) % 0.39/0.61 (define @t40 () (forall @t15 (=> @t39 @t38))) % 0.39/0.61 (define @t41 () (= tptp.upairequniteq @t40)) % 0.39/0.61 (define @t42 () (forall @t30 (=> @t29 @t33))) % 0.39/0.61 (define @t43 () (=> tptp.upairequniteq @t42)) % 0.39/0.61 (define @t44 () (=> tptp.setukpairinjR1 @t43)) % 0.39/0.61 (define @t45 () (=> tptp.setukpairinjL2 @t44)) % 0.39/0.61 (define @t46 () (=> tptp.upairset2E @t45)) % 0.39/0.61 (define @t47 () (=> tptp.secondinupair @t46)) % 0.39/0.61 (define @t48 () (not @t47)) % 0.39/0.61 (define @t49 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.39/0.61 (define @t50 () (tptp.setadjoin @t10 @t49)) % 0.39/0.61 (define @t51 () (tptp.setadjoin @t50 tptp.emptyset)) % 0.39/0.61 (define @t52 () (tptp.setadjoin @t10 tptp.emptyset)) % 0.39/0.61 (define @t53 () (tptp.setadjoin @t52 @t51)) % 0.39/0.61 (define @t54 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.39/0.61 (define @t55 () (tptp.setadjoin @t3 @t54)) % 0.39/0.61 (define @t56 () (tptp.setadjoin @t55 tptp.emptyset)) % 0.39/0.61 (define @t57 () (tptp.setadjoin @t3 tptp.emptyset)) % 0.39/0.61 (define @t58 () (tptp.setadjoin @t57 @t56)) % 0.39/0.61 (define @t59 () (not (= @t58 @t53))) % 0.39/0.61 (define @t60 () (forall @t30 (or @t59 @t33))) % 0.39/0.61 (define @t61 () (not @t39)) % 0.39/0.61 (define @t62 () (or @t61 @t38)) % 0.39/0.61 (define @t63 () (=> tptp.upairequniteq @t60)) % 0.39/0.61 (define @t64 () (not (= @t58 (tptp.setadjoin @t49 (tptp.setadjoin (tptp.setadjoin @t19 @t49) tptp.emptyset))))) % 0.39/0.61 (define @t65 () (not (= @t19 @t19))) % 0.39/0.61 (define @t66 () (or @t64 @t65 @t33)) % 0.39/0.61 (define @t67 () (@list @t3 @t1 @t19)) % 0.39/0.61 (define @t68 () (not @t34)) % 0.39/0.61 (define @t69 () (or @t68 @t59 @t68 @t33)) % 0.39/0.61 (define @t70 () (@list @t10)) % 0.39/0.61 (define @t71 () (or @t59 @t68 @t33)) % 0.39/0.61 (define @t72 () (forall @t70 @t71)) % 0.39/0.61 (define @t73 () (forall @t67 @t72)) % 0.39/0.61 (define @t74 () (forall (@list @t3 @t1 @t19 @t10) @t71)) % 0.39/0.61 (define @t75 () (not @t29)) % 0.39/0.61 (define @t76 () (or @t75 @t68 @t33)) % 0.39/0.61 (define @t77 () (=> tptp.setukpairinjR1 @t63)) % 0.39/0.61 (define @t78 () (or @t75 @t18)) % 0.39/0.61 (define @t79 () (=> tptp.setukpairinjL2 @t77)) % 0.39/0.61 (define @t80 () (= @t1 @t10)) % 0.39/0.61 (define @t81 () (tptp.in @t10 @t55)) % 0.39/0.61 (define @t82 () (not @t13)) % 0.39/0.61 (define @t83 () (or @t82 @t18 @t80)) % 0.39/0.61 (define @t84 () (or @t18 @t80)) % 0.39/0.61 (define @t85 () (=> tptp.upairset2E @t79)) % 0.39/0.61 (define @t86 () (tptp.in @t1 @t55)) % 0.39/0.61 (define @t87 () (=> tptp.secondinupair @t85)) % 0.39/0.61 (define @t88 () (or @t75 @t33)) % 0.39/0.61 (define @t89 () (@quantifiers_skolemize @t60 3)) % 0.39/0.61 (define @t90 () (@quantifiers_skolemize @t60 2)) % 0.39/0.61 (define @t91 () (@quantifiers_skolemize @t60 1)) % 0.39/0.61 (define @t92 () (@quantifiers_skolemize @t60 0)) % 0.39/0.61 (define @t93 () (tptp.setadjoin @t90 (tptp.setadjoin @t89 tptp.emptyset))) % 0.39/0.61 (define @t94 () (tptp.setadjoin @t90 tptp.emptyset)) % 0.39/0.61 (define @t95 () (tptp.setadjoin @t94 (tptp.setadjoin @t93 tptp.emptyset))) % 0.39/0.61 (define @t96 () (tptp.setadjoin @t92 (tptp.setadjoin @t91 tptp.emptyset))) % 0.39/0.61 (define @t97 () (tptp.setadjoin @t92 tptp.emptyset)) % 0.39/0.61 (define @t98 () (tptp.setadjoin @t97 (tptp.setadjoin @t96 tptp.emptyset))) % 0.39/0.61 (define @t99 () (= @t98 @t95)) % 0.39/0.61 (define @t100 () (= @t91 @t89)) % 0.39/0.61 (define @t101 () (not @t99)) % 0.39/0.61 (define @t102 () (or @t101 @t100)) % 0.39/0.61 (define @t103 () (@list true)) % 0.39/0.61 (define @t104 () (@list @t102)) % 0.39/0.61 (define @t105 () (= @t92 @t90)) % 0.39/0.61 (define @t106 () (or @t101 @t105)) % 0.39/0.61 (define @t107 () (tptp.in @t91 @t96)) % 0.39/0.61 (define @t108 () (= @t96 @t93)) % 0.39/0.61 (define @t109 () (tptp.in @t91 @t93)) % 0.39/0.61 (define @t110 () (and @t107 @t108)) % 0.39/0.61 (define @t111 () (tptp.in @t89 @t93)) % 0.39/0.61 (define @t112 () (tptp.in @t89 @t96)) % 0.39/0.61 (define @t113 () (and @t111 @t108)) % 0.39/0.61 (define @t114 () (not @t100)) % 0.39/0.61 (define @t115 () (not @t109)) % 0.39/0.61 (define @t116 () (or @t115 (= @t90 @t91) (= @t89 @t91))) % 0.39/0.61 (define @t117 () (forall @t15 (or (not @t81) @t18 @t80))) % 0.39/0.61 (define @t118 () (= @t91 @t90)) % 0.39/0.61 (define @t119 () (or @t115 @t118 @t100)) % 0.39/0.61 (define @t120 () (@list false)) % 0.39/0.61 (define @t121 () (@list @t117)) % 0.39/0.61 (define @t122 () (= @t92 @t89)) % 0.39/0.61 (define @t123 () (not @t112)) % 0.39/0.61 (define @t124 () (or @t123 @t122 @t100)) % 0.39/0.61 (define @t125 () (not @t122)) % 0.39/0.61 (define @t126 () (not @t118)) % 0.39/0.61 (define @t127 () (not @t105)) % 0.39/0.61 (define @t128 () (and @t114 @t105 @t118)) % 0.39/0.61 (define @t129 () (not @t108)) % 0.39/0.61 (define @t130 () (tptp.in @t96 @t95)) % 0.39/0.61 (define @t131 () (not @t130)) % 0.39/0.61 (define @t132 () (or @t131 (= @t94 @t96) (= @t93 @t96))) % 0.39/0.61 (define @t133 () (= @t96 @t94)) % 0.39/0.61 (define @t134 () (or @t131 @t133 @t108)) % 0.39/0.61 (define @t135 () (tptp.in @t93 @t98)) % 0.39/0.61 (define @t136 () (= @t97 @t93)) % 0.39/0.61 (define @t137 () (not @t135)) % 0.39/0.61 (define @t138 () (or @t137 @t136 @t108)) % 0.39/0.61 (define @t139 () (not @t136)) % 0.39/0.61 (define @t140 () (not @t133)) % 0.39/0.61 (define @t141 () (= @t97 @t96)) % 0.39/0.61 (define @t142 () (and @t136 @t141 @t129)) % 0.39/0.61 (assume @p1 @t9) % 0.39/0.61 (assume @p2 @t17) % 0.39/0.61 (assume @p3 @t32) % 0.39/0.61 (assume @p4 @t37) % 0.39/0.61 (assume @p5 @t41) % 0.39/0.61 (assume @p6 @t48) % 0.39/0.61 (assume @p7 true) % 0.39/0.61 (step @p8 :rule refl :args (@t60)) % 0.39/0.61 (step @p9 :rule refl :args (@t38)) % 0.39/0.61 (step @p10 :rule refl :args (@t52)) % 0.39/0.61 (step @p11 :rule refl :args (@t24)) % 0.39/0.61 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t24 @t52))) % 0.39/0.61 (step @p13 :rule symm :premises (@p12)) % 0.39/0.61 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.39/0.61 (step @p15 :rule refl :args ((tptp.setadjoin @t3 @t2))) % 0.39/0.61 (step @p16 :rule refl :args (@t54)) % 0.39/0.61 (step @p17 :rule refl :args (@t3)) % 0.39/0.61 (step @p18 :rule cong :premises (@p17 @p16) :args (@t55)) % 0.39/0.61 (step @p19 :rule trans :premises (@p18 @p15)) % 0.39/0.61 (step @p20 :rule refl :args (@t4)) % 0.39/0.61 (step @p21 :rule ho_cong :premises (@p20 @p16)) % 0.39/0.61 (step @p22 :rule cong :premises (@p21 @p19) :args ((= (_ @t4 @t54) @t55))) % 0.39/0.61 (step @p23 :rule symm :premises (@p22)) % 0.39/0.61 (step @p24 :rule refl :args (@t5)) % 0.39/0.61 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.39/0.61 (step @p26 :rule refl :args (@t2)) % 0.39/0.61 (step @p27 :rule cong :premises (@p26 @p16) :args ((= @t2 @t54))) % 0.39/0.61 (step @p28 :rule symm :premises (@p27)) % 0.39/0.61 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.39/0.61 (step @p30 :rule ho_cong :premises (@p20 @p29)) % 0.39/0.61 (step @p31 :rule trans :premises (@p30 @p25)) % 0.39/0.61 (step @p32 :rule cong :premises (@p31 @p14) :args (@t39)) % 0.39/0.61 (step @p33 :rule cong :premises (@p32) :args (@t61)) % 0.39/0.61 (step @p34 :rule nary_cong :premises (@p33 @p9) :args (@t62)) % 0.39/0.61 (step @p35 :rule cong :premises (@p34) :args ((forall @t15 @t62))) % 0.39/0.61 (step @p36 :rule bool-impl-elim :args (@t39 @t38)) % 0.39/0.61 (step @p37 :rule cong :premises (@p36) :args (@t40)) % 0.39/0.61 (step @p38 :rule trans :premises (@p37 @p35)) % 0.39/0.61 (step @p39 :rule refl :args (tptp.upairequniteq)) % 0.39/0.61 (step @p40 :rule cong :premises (@p39 @p38) :args (@t41)) % 0.39/0.61 (step @p41 :rule eq_resolve :premises (@p5 @p40)) % 0.39/0.61 (step @p42 :rule cong :premises (@p41 @p8) :args (@t63)) % 0.39/0.61 (step @p43 :rule aci_norm :args ((= (or @t64 false @t33) (or @t64 @t33)))) % 0.39/0.61 (step @p44 :rule refl :args (@t33)) % 0.39/0.61 (step @p45 :rule evaluate :args ((not true))) % 0.39/0.61 (step @p46 :rule eq-refl :args (@t19)) % 0.39/0.61 (step @p47 :rule cong :premises (@p46) :args (@t65)) % 0.39/0.61 (step @p48 :rule trans :premises (@p47 @p45)) % 0.39/0.61 (step @p49 :rule refl :args (@t64)) % 0.39/0.61 (step @p50 :rule nary_cong :premises (@p49 @p48 @p44) :args (@t66)) % 0.39/0.61 (step @p51 :rule trans :premises (@p50 @p43)) % 0.39/0.61 (step @p52 :rule cong :premises (@p51) :args ((forall @t67 @t66))) % 0.39/0.61 (step @p53 :rule quant-var-elim-eq :args ((= (forall @t70 @t69) @t66))) % 0.39/0.61 (step @p54 :rule aci_norm :args ((= @t71 @t69))) % 0.39/0.61 (step @p55 :rule cong :premises (@p54) :args (@t72)) % 0.39/0.61 (step @p56 :rule trans :premises (@p55 @p53)) % 0.39/0.61 (step @p57 :rule cong :premises (@p56) :args (@t73)) % 0.39/0.61 (step @p58 :rule quant-merge-prenex :args ((= @t73 @t74))) % 0.39/0.61 (step @p59 :rule symm :premises (@p58)) % 0.39/0.61 (step @p60 :rule quant_var_reordering :args ((= (forall @t30 @t71) @t74))) % 0.39/0.61 (step @p61 :rule trans :premises (@p60 @p59 @p57)) % 0.39/0.61 (step @p62 :rule trans :premises (@p61 @p52)) % 0.39/0.61 (step @p63 :rule refl :args (@t33)) % 0.39/0.61 (step @p64 :rule refl :args (@t68)) % 0.39/0.61 (step @p65 :rule refl :args ((tptp.setadjoin @t24 @t23))) % 0.39/0.61 (step @p66 :rule refl :args ((tptp.setadjoin @t22 tptp.emptyset))) % 0.39/0.61 (step @p67 :rule refl :args (tptp.emptyset)) % 0.39/0.61 (step @p68 :rule refl :args ((tptp.setadjoin @t10 @t20))) % 0.39/0.61 (step @p69 :rule refl :args (@t49)) % 0.39/0.61 (step @p70 :rule refl :args (@t10)) % 0.39/0.61 (step @p71 :rule cong :premises (@p70 @p69) :args (@t50)) % 0.39/0.61 (step @p72 :rule trans :premises (@p71 @p68)) % 0.39/0.61 (step @p73 :rule cong :premises (@p72 @p67) :args (@t51)) % 0.39/0.61 (step @p74 :rule trans :premises (@p73 @p66)) % 0.39/0.61 (step @p75 :rule cong :premises (@p10 @p74) :args (@t53)) % 0.39/0.61 (step @p76 :rule trans :premises (@p75 @p65)) % 0.39/0.61 (step @p77 :rule refl :args (tptp.setadjoin)) % 0.39/0.61 (step @p78 :rule ho_cong :premises (@p77 @p10)) % 0.39/0.61 (step @p79 :rule ho_cong :premises (@p78 @p74)) % 0.39/0.61 (step @p80 :rule cong :premises (@p79 @p76) :args ((= (_ (_ tptp.setadjoin @t52) @t51) @t53))) % 0.39/0.61 (step @p81 :rule symm :premises (@p80)) % 0.39/0.61 (step @p82 :rule refl :args (@t25)) % 0.39/0.61 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.39/0.61 (step @p84 :rule ho_cong :premises (@p77 @p72)) % 0.39/0.61 (step @p85 :rule ho_cong :premises (@p84 @p67)) % 0.39/0.61 (step @p86 :rule cong :premises (@p85 @p74) :args ((= (_ (_ tptp.setadjoin @t50) tptp.emptyset) @t51))) % 0.39/0.61 (step @p87 :rule symm :premises (@p86)) % 0.39/0.61 (step @p88 :rule refl :args (@t23)) % 0.39/0.61 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.39/0.61 (step @p90 :rule refl :args (@t21)) % 0.39/0.61 (step @p91 :rule ho_cong :premises (@p90 @p69)) % 0.39/0.61 (step @p92 :rule cong :premises (@p91 @p72) :args ((= (_ @t21 @t49) @t50))) % 0.39/0.61 (step @p93 :rule symm :premises (@p92)) % 0.39/0.61 (step @p94 :rule refl :args (@t22)) % 0.39/0.61 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.39/0.61 (step @p96 :rule refl :args (@t20)) % 0.39/0.61 (step @p97 :rule cong :premises (@p96 @p69) :args ((= @t20 @t49))) % 0.39/0.61 (step @p98 :rule symm :premises (@p97)) % 0.39/0.61 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.39/0.61 (step @p100 :rule ho_cong :premises (@p90 @p99)) % 0.39/0.61 (step @p101 :rule trans :premises (@p100 @p95)) % 0.39/0.61 (step @p102 :rule ho_cong :premises (@p77 @p101)) % 0.39/0.61 (step @p103 :rule ho_cong :premises (@p102 @p67)) % 0.39/0.61 (step @p104 :rule trans :premises (@p103 @p89)) % 0.39/0.61 (step @p105 :rule ho_cong :premises (@p77 @p14)) % 0.39/0.61 (step @p106 :rule ho_cong :premises (@p105 @p104)) % 0.39/0.61 (step @p107 :rule trans :premises (@p106 @p83)) % 0.39/0.61 (step @p108 :rule refl :args ((tptp.setadjoin @t27 @t26))) % 0.39/0.61 (step @p109 :rule refl :args ((tptp.setadjoin @t5 tptp.emptyset))) % 0.39/0.61 (step @p110 :rule cong :premises (@p19 @p67) :args (@t56)) % 0.39/0.61 (step @p111 :rule trans :premises (@p110 @p109)) % 0.39/0.61 (step @p112 :rule refl :args (@t57)) % 0.39/0.61 (step @p113 :rule cong :premises (@p112 @p111) :args (@t58)) % 0.39/0.61 (step @p114 :rule trans :premises (@p113 @p108)) % 0.39/0.61 (step @p115 :rule ho_cong :premises (@p77 @p112)) % 0.39/0.61 (step @p116 :rule ho_cong :premises (@p115 @p111)) % 0.39/0.61 (step @p117 :rule cong :premises (@p116 @p114) :args ((= (_ (_ tptp.setadjoin @t57) @t56) @t58))) % 0.39/0.61 (step @p118 :rule symm :premises (@p117)) % 0.39/0.61 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0.39/0.61 (step @p358 :rule refl :args (@t96)) % 0.39/0.61 (step @p359 :rule cong :premises (@p358 @p357) :args (@t130)) % 0.39/0.61 (step @p360 :rule trans :premises (@p359 @p356)) % 0.39/0.61 (step @p361 :rule true_elim :premises (@p360)) % 0.39/0.61 (step @p362 :rule cnf_or_pos :args (@t134)) % 0.39/0.61 (step @p363 :rule reordering :premises (@p362) :args ((or @t133 @t131 @t108 (not @t134)))) % 0.39/0.61 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p342 @p354) :args (@t133 (@list false true false) (@list @t130 @t108 @t134))) % 0.39/0.61 (step @p365 :rule instantiate :premises (@p291) :args ((@list @t97 @t96 @t93))) % 0.39/0.61 (step @p366 :rule instantiate :premises (@p245) :args ((@list @t94 @t93))) % 0.39/0.61 (step @p367 :rule true_intro :premises (@p366)) % 0.39/0.61 (step @p368 :rule refl :args (@t93)) % 0.39/0.61 (step @p369 :rule cong :premises (@p368 @p241) :args (@t135)) % 0.39/0.61 (step @p370 :rule trans :premises (@p369 @p367)) % 0.39/0.61 (step @p371 :rule true_elim :premises (@p370)) % 0.39/0.61 (step @p372 :rule cnf_or_pos :args (@t138)) % 0.39/0.61 (step @p373 :rule reordering :premises (@p372) :args ((or @t108 @t137 @t136 (not @t138)))) % 0.39/0.61 (step @p374 :rule chain_m_resolution :premises (@p373 @p342 @p371 @p365) :args (@t136 (@list true false false) (@list @t108 @t135 @t138))) % 0.39/0.61 (step @p375 :rule bool-double-not-elim :args (@t108)) % 0.39/0.61 (step @p376 :rule refl :args (@t139)) % 0.39/0.61 (step @p377 :rule refl :args (@t140)) % 0.39/0.61 (step @p378 :rule nary_cong :premises (@p312 @p377 @p376 @p375) :args ((or @t127 @t140 @t139 (not @t129)))) % 0.39/0.61 (assume-push @p453 @t136) % 0.39/0.61 (assume-push @p454 @t141) % 0.39/0.61 (assume-push @p455 @t129) % 0.39/0.61 (step @p382 :rule evaluate :args ((= false true))) % 0.39/0.61 (step @p383 :rule symm :premises (@p454)) % 0.39/0.61 (step @p384 :rule trans :premises (@p383 @p453)) % 0.39/0.61 (step @p385 :rule true_intro :premises (@p384)) % 0.39/0.61 (step @p386 :rule false_intro :premises (@p455)) % 0.39/0.61 (step @p387 :rule symm :premises (@p386)) % 0.39/0.61 (step @p388 :rule trans :premises (@p387 @p385)) % 0.39/0.61 (step @p389 false :rule eq_resolve :premises (@p388 @p382)) % 0.39/0.61 (step-pop @p456 :rule scope :premises (@p389)) % 0.39/0.61 (step-pop @p457 :rule scope :premises (@p456)) % 0.39/0.61 (step-pop @p458 :rule scope :premises (@p457)) % 0.39/0.61 (step @p390 :rule process_scope :premises (@p458) :args (false)) % 0.39/0.61 (assume-push @p459 @t105) % 0.39/0.61 (assume-push @p460 @t133) % 0.39/0.61 (assume-push @p461 @t136) % 0.39/0.61 (assume-push @p462 @t129) % 0.39/0.61 (assume-push @p463 @t133) % 0.39/0.61 (assume-push @p464 @t105) % 0.39/0.61 (step @p400 :rule symm :premises (@p460)) % 0.39/0.61 (step @p401 :rule refl :args (tptp.emptyset)) % 0.39/0.61 (step @p402 :rule cong :premises (@p244 @p401) :args (@t97)) % 0.39/0.61 (step @p403 :rule trans :premises (@p402 @p400)) % 0.39/0.61 (step-pop @p465 :rule scope :premises (@p403)) % 0.39/0.61 (step-pop @p466 :rule scope :premises (@p465)) % 0.39/0.61 (step @p404 :rule process_scope :premises (@p466) :args (@t141)) % 0.39/0.61 (step @p407 :rule and_intro :premises (@p460 @p244)) % 0.39/0.61 (step @p408 :rule modus_ponens :premises (@p407 @p404)) % 0.39/0.61 (step @p409 :rule and_intro :premises (@p461 @p408 @p462)) % 0.39/0.61 (step-pop @p467 :rule scope :premises (@p409)) % 0.39/0.61 (step-pop @p468 :rule scope :premises (@p467)) % 0.39/0.61 (step-pop @p469 :rule scope :premises (@p468)) % 0.39/0.61 (step-pop @p470 :rule scope :premises (@p469)) % 0.39/0.61 (step @p410 :rule process_scope :premises (@p470) :args (@t142)) % 0.39/0.61 (step @p415 :rule implies_elim :premises (@p410)) % 0.39/0.61 (step @p416 :rule resolution :premises (@p415 @p390) :args (true @t142)) % 0.39/0.61 (step @p417 :rule not_and :premises (@p416)) % 0.39/0.61 (step @p418 :rule eq_resolve :premises (@p417 @p378)) % 0.39/0.61 (step @p419 :rule reordering :premises (@p418) :args ((or @t127 @t140 @t108 @t139))) % 0.39/0.61 (step @p420 false :rule chain_m_resolution :premises (@p419 @p374 @p364 @p342 @p244) :args (false (@list false false true false) (@list @t136 @t133 @t108 @t105))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------