%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU649^2 : 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 08:52:34 AM UTC 2026 % Result : Theorem 0.54s 0.71s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU649^2 : 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 : n016.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 17:44:54 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.54/0.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.54/0.71 % SZS status Theorem % 0.54/0.71 % SZS output start Proof % 0.54/0.71 ( % 0.54/0.71 (declare-sort $$unsorted 0) % 0.54/0.71 (declare-const tptp.upairset2E Bool) % 0.54/0.71 (declare-const tptp.eqinunit Bool) % 0.54/0.71 (declare-const tptp.emptyset $$unsorted) % 0.54/0.71 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.71 (declare-const tptp.setadjoinIL Bool) % 0.54/0.71 (declare-const tptp.setext Bool) % 0.54/0.71 (declare-const tptp.uniqinunit Bool) % 0.54/0.71 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.54/0.71 (define @t1 () (@var "B" $$unsorted)) % 0.54/0.71 (define @t2 () (@var "A" $$unsorted)) % 0.54/0.71 (define @t3 () (= @t2 @t1)) % 0.54/0.71 (define @t4 () (@var "Xx" $$unsorted)) % 0.54/0.71 (define @t5 () (_ tptp.in @t4)) % 0.54/0.71 (define @t6 () (_ @t5 @t2)) % 0.54/0.71 (define @t7 () (_ @t5 @t1)) % 0.54/0.71 (define @t8 () (@list @t4)) % 0.54/0.71 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.54/0.71 (define @t10 () (=> @t9 @t3)) % 0.54/0.71 (define @t11 () (forall @t8 (=> @t6 @t7))) % 0.54/0.71 (define @t12 () (=> @t11 @t10)) % 0.54/0.71 (define @t13 () (@list @t2 @t1)) % 0.54/0.71 (define @t14 () (forall @t13 @t12)) % 0.54/0.71 (define @t15 () (= tptp.setext @t14)) % 0.54/0.71 (define @t16 () (@var "Xy" $$unsorted)) % 0.54/0.71 (define @t17 () (_ tptp.setadjoin @t4)) % 0.54/0.71 (define @t18 () (_ @t17 @t16)) % 0.54/0.71 (define @t19 () (_ @t5 @t18)) % 0.54/0.71 (define @t20 () (@list @t4 @t16)) % 0.54/0.71 (define @t21 () (forall @t20 @t19)) % 0.54/0.71 (define @t22 () (= tptp.setadjoinIL @t21)) % 0.54/0.71 (define @t23 () (= @t4 @t16)) % 0.54/0.71 (define @t24 () (_ (_ tptp.setadjoin @t16) tptp.emptyset)) % 0.54/0.71 (define @t25 () (_ @t5 @t24)) % 0.54/0.71 (define @t26 () (forall @t20 (=> @t25 @t23))) % 0.54/0.71 (define @t27 () (= tptp.uniqinunit @t26)) % 0.54/0.71 (define @t28 () (forall @t20 (=> @t23 @t25))) % 0.54/0.71 (define @t29 () (= tptp.eqinunit @t28)) % 0.54/0.71 (define @t30 () (@var "Xz" $$unsorted)) % 0.54/0.71 (define @t31 () (or (= @t30 @t4) (= @t30 @t16))) % 0.54/0.71 (define @t32 () (_ @t17 @t24)) % 0.54/0.71 (define @t33 () (_ tptp.in @t30)) % 0.54/0.71 (define @t34 () (_ @t33 @t32)) % 0.54/0.71 (define @t35 () (=> @t34 @t31)) % 0.54/0.71 (define @t36 () (@list @t4 @t16 @t30)) % 0.54/0.71 (define @t37 () (forall @t36 @t35)) % 0.54/0.71 (define @t38 () (= tptp.upairset2E @t37)) % 0.54/0.71 (define @t39 () (_ @t17 tptp.emptyset)) % 0.54/0.71 (define @t40 () (= @t32 @t39)) % 0.54/0.71 (define @t41 () (forall @t20 (=> @t23 @t40))) % 0.54/0.71 (define @t42 () (=> tptp.upairset2E @t41)) % 0.54/0.71 (define @t43 () (=> tptp.eqinunit @t42)) % 0.54/0.71 (define @t44 () (=> tptp.uniqinunit @t43)) % 0.54/0.71 (define @t45 () (=> tptp.setadjoinIL @t44)) % 0.54/0.71 (define @t46 () (=> tptp.setext @t45)) % 0.54/0.71 (define @t47 () (not @t46)) % 0.54/0.71 (define @t48 () (tptp.setadjoin @t16 tptp.emptyset)) % 0.54/0.71 (define @t49 () (tptp.setadjoin @t16 @t48)) % 0.54/0.71 (define @t50 () (= @t48 @t49)) % 0.54/0.71 (define @t51 () (@list @t16)) % 0.54/0.71 (define @t52 () (forall @t51 @t50)) % 0.54/0.71 (define @t53 () (= @t16 @t30)) % 0.54/0.71 (define @t54 () (= @t4 @t30)) % 0.54/0.71 (define @t55 () (tptp.setadjoin @t4 @t48)) % 0.54/0.71 (define @t56 () (tptp.in @t30 @t55)) % 0.54/0.71 (define @t57 () (not @t34)) % 0.54/0.71 (define @t58 () (or @t57 @t54 @t53)) % 0.54/0.71 (define @t59 () (or @t54 @t53)) % 0.54/0.71 (define @t60 () (=> tptp.upairset2E @t52)) % 0.54/0.71 (define @t61 () (tptp.in @t16 @t48)) % 0.54/0.71 (define @t62 () (not (= @t16 @t16))) % 0.54/0.71 (define @t63 () (or @t62 @t61)) % 0.54/0.71 (define @t64 () (tptp.in @t4 @t48)) % 0.54/0.71 (define @t65 () (not @t23)) % 0.54/0.71 (define @t66 () (or @t65 @t65 @t64)) % 0.54/0.71 (define @t67 () (or @t65 @t64)) % 0.54/0.71 (define @t68 () (forall @t8 @t67)) % 0.54/0.71 (define @t69 () (forall @t51 @t68)) % 0.54/0.71 (define @t70 () (@list @t16 @t4)) % 0.54/0.71 (define @t71 () (forall @t70 @t67)) % 0.54/0.71 (define @t72 () (or @t65 @t25)) % 0.54/0.71 (define @t73 () (=> tptp.eqinunit @t60)) % 0.54/0.71 (define @t74 () (not @t25)) % 0.54/0.71 (define @t75 () (or @t74 @t23)) % 0.54/0.71 (define @t76 () (=> tptp.uniqinunit @t73)) % 0.54/0.71 (define @t77 () (tptp.setadjoin @t4 @t16)) % 0.54/0.71 (define @t78 () (tptp.in @t4 @t77)) % 0.54/0.71 (define @t79 () (=> tptp.setadjoinIL @t76)) % 0.54/0.71 (define @t80 () (tptp.in @t4 @t2)) % 0.54/0.71 (define @t81 () (tptp.in @t4 @t1)) % 0.54/0.71 (define @t82 () (forall @t8 (or (not @t81) @t80))) % 0.54/0.71 (define @t83 () (not @t82)) % 0.54/0.71 (define @t84 () (forall @t8 (or (not @t80) @t81))) % 0.54/0.71 (define @t85 () (not @t84)) % 0.54/0.71 (define @t86 () (or @t85 @t83 @t3)) % 0.54/0.71 (define @t87 () (=> @t82 @t3)) % 0.54/0.71 (define @t88 () (not @t7)) % 0.54/0.71 (define @t89 () (or @t88 @t6)) % 0.54/0.71 (define @t90 () (not @t6)) % 0.54/0.71 (define @t91 () (or @t90 @t7)) % 0.54/0.71 (define @t92 () (=> tptp.setext @t79)) % 0.54/0.71 (define @t93 () (or @t62 (= @t49 @t48))) % 0.54/0.71 (define @t94 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.54/0.71 (define @t95 () (= @t55 @t94)) % 0.54/0.71 (define @t96 () (or @t65 @t65 @t95)) % 0.54/0.71 (define @t97 () (or @t65 @t95)) % 0.54/0.71 (define @t98 () (forall @t8 @t97)) % 0.54/0.71 (define @t99 () (forall @t51 @t98)) % 0.54/0.71 (define @t100 () (forall @t70 @t97)) % 0.54/0.71 (define @t101 () (or @t65 @t40)) % 0.54/0.71 (define @t102 () (@quantifiers_skolemize @t52 0)) % 0.54/0.71 (define @t103 () (tptp.setadjoin @t102 tptp.emptyset)) % 0.54/0.71 (define @t104 () (tptp.setadjoin @t102 @t103)) % 0.54/0.71 (define @t105 () (tptp.in @t4 @t104)) % 0.54/0.71 (define @t106 () (tptp.in @t4 @t103)) % 0.54/0.71 (define @t107 () (forall @t8 (or (not @t106) @t105))) % 0.54/0.71 (define @t108 () (not @t107)) % 0.54/0.71 (define @t109 () (forall @t8 (or (not @t105) @t106))) % 0.54/0.71 (define @t110 () (not @t109)) % 0.54/0.71 (define @t111 () (or @t110 @t108 (= @t104 @t103))) % 0.54/0.71 (define @t112 () (forall @t13 @t86)) % 0.54/0.71 (define @t113 () (= @t103 @t104)) % 0.54/0.71 (define @t114 () (or @t110 @t108 @t113)) % 0.54/0.71 (define @t115 () (@list false)) % 0.54/0.71 (define @t116 () (@quantifiers_skolemize @t109 0)) % 0.54/0.71 (define @t117 () (tptp.in @t116 @t104)) % 0.54/0.71 (define @t118 () (tptp.in @t116 @t103)) % 0.54/0.71 (define @t119 () (not @t117)) % 0.54/0.71 (define @t120 () (or @t119 @t118)) % 0.54/0.71 (define @t121 () (= @t102 @t116)) % 0.54/0.71 (define @t122 () (or @t119 @t121 @t121)) % 0.54/0.71 (define @t123 () (not @t121)) % 0.54/0.71 (define @t124 () (tptp.in @t102 @t103)) % 0.54/0.71 (define @t125 () (not @t124)) % 0.54/0.71 (define @t126 () (not @t118)) % 0.54/0.71 (define @t127 () (= false true)) % 0.54/0.71 (define @t128 () (and @t124 @t121 @t126)) % 0.54/0.71 (define @t129 () (not @t120)) % 0.54/0.71 (define @t130 () (@quantifiers_skolemize @t107 0)) % 0.54/0.71 (define @t131 () (tptp.in @t130 @t104)) % 0.54/0.71 (define @t132 () (tptp.in @t130 @t103)) % 0.54/0.71 (define @t133 () (not @t132)) % 0.54/0.71 (define @t134 () (or @t133 @t131)) % 0.54/0.71 (define @t135 () (not @t134)) % 0.54/0.71 (define @t136 () (@list true)) % 0.54/0.71 (define @t137 () (not @t131)) % 0.54/0.71 (define @t138 () (@list @t134)) % 0.54/0.71 (define @t139 () (or @t133 (= @t130 @t102))) % 0.54/0.71 (define @t140 () (forall @t20 (or (not @t64) @t23))) % 0.54/0.71 (define @t141 () (= @t102 @t130)) % 0.54/0.71 (define @t142 () (or @t133 @t141)) % 0.54/0.71 (define @t143 () (not @t141)) % 0.54/0.71 (define @t144 () (tptp.in @t102 @t104)) % 0.54/0.71 (define @t145 () (not @t144)) % 0.54/0.71 (define @t146 () (and @t144 @t141 @t137)) % 0.54/0.71 (assume @p1 @t15) % 0.54/0.71 (assume @p2 @t22) % 0.54/0.71 (assume @p3 @t27) % 0.54/0.71 (assume @p4 @t29) % 0.54/0.71 (assume @p5 @t38) % 0.54/0.71 (assume @p6 @t47) % 0.54/0.71 (assume @p7 true) % 0.54/0.71 (step @p8 :rule refl :args (@t52)) % 0.54/0.71 (step @p9 :rule refl :args (@t53)) % 0.54/0.71 (step @p10 :rule refl :args (@t54)) % 0.54/0.71 (step @p11 :rule refl :args ((tptp.in @t30 @t32))) % 0.54/0.71 (step @p12 :rule refl :args ((tptp.setadjoin @t4 @t24))) % 0.54/0.71 (step @p13 :rule refl :args (@t48)) % 0.54/0.71 (step @p14 :rule refl :args (@t4)) % 0.54/0.71 (step @p15 :rule cong :premises (@p14 @p13) :args (@t55)) % 0.54/0.71 (step @p16 :rule trans :premises (@p15 @p12)) % 0.54/0.71 (step @p17 :rule refl :args (@t30)) % 0.54/0.71 (step @p18 :rule cong :premises (@p17 @p16) :args (@t56)) % 0.54/0.71 (step @p19 :rule trans :premises (@p18 @p11)) % 0.54/0.71 (step @p20 :rule refl :args (@t33)) % 0.54/0.71 (step @p21 :rule ho_cong :premises (@p20 @p16)) % 0.54/0.71 (step @p22 :rule cong :premises (@p21 @p19) :args ((= (_ @t33 @t55) @t56))) % 0.54/0.71 (step @p23 :rule symm :premises (@p22)) % 0.54/0.71 (step @p24 :rule refl :args (@t34)) % 0.54/0.71 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.54/0.71 (step @p26 :rule refl :args (@t17)) % 0.54/0.71 (step @p27 :rule ho_cong :premises (@p26 @p13)) % 0.54/0.71 (step @p28 :rule cong :premises (@p27 @p16) :args ((= (_ @t17 @t48) @t55))) % 0.54/0.71 (step @p29 :rule symm :premises (@p28)) % 0.54/0.71 (step @p30 :rule refl :args (@t32)) % 0.54/0.71 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.54/0.71 (step @p32 :rule refl :args (@t24)) % 0.54/0.71 (step @p33 :rule cong :premises (@p32 @p13) :args ((= @t24 @t48))) % 0.54/0.71 (step @p34 :rule symm :premises (@p33)) % 0.54/0.71 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.54/0.71 (step @p36 :rule ho_cong :premises (@p26 @p35)) % 0.54/0.71 (step @p37 :rule trans :premises (@p36 @p31)) % 0.54/0.71 (step @p38 :rule ho_cong :premises (@p20 @p37)) % 0.54/0.71 (step @p39 :rule trans :premises (@p38 @p25)) % 0.54/0.71 (step @p40 :rule cong :premises (@p39) :args (@t57)) % 0.54/0.71 (step @p41 :rule nary_cong :premises (@p40 @p10 @p9) :args (@t58)) % 0.54/0.71 (step @p42 :rule cong :premises (@p41) :args ((forall @t36 @t58))) % 0.54/0.71 (step @p43 :rule aci_norm :args ((= (or @t57 @t59) @t58))) % 0.54/0.71 (step @p44 :rule bool-impl-elim :args (@t34 @t59)) % 0.54/0.71 (step @p45 :rule trans :premises (@p44 @p43)) % 0.54/0.71 (step @p46 :rule cong :premises (@p45) :args ((forall @t36 (=> @t34 @t59)))) % 0.54/0.71 (step @p47 :rule trans :premises (@p46 @p42)) % 0.54/0.71 (step @p48 :rule eq-symm :args (@t30 @t16)) % 0.54/0.71 (step @p49 :rule eq-symm :args (@t30 @t4)) % 0.54/0.71 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t31)) % 0.54/0.71 (step @p51 :rule refl :args (@t34)) % 0.54/0.71 (step @p52 :rule cong :premises (@p51 @p50) :args (@t35)) % 0.54/0.71 (step @p53 :rule cong :premises (@p52) :args (@t37)) % 0.54/0.71 (step @p54 :rule trans :premises (@p53 @p47)) % 0.54/0.71 (step @p55 :rule refl :args (tptp.upairset2E)) % 0.54/0.71 (step @p56 :rule cong :premises (@p55 @p54) :args (@t38)) % 0.54/0.71 (step @p57 :rule eq_resolve :premises (@p5 @p56)) % 0.54/0.71 (step @p58 :rule cong :premises (@p57 @p8) :args (@t60)) % 0.54/0.71 (step @p59 :rule aci_norm :args ((= (or false @t61) @t61))) % 0.54/0.71 (step @p60 :rule refl :args (@t61)) % 0.54/0.71 (step @p61 :rule evaluate :args ((not true))) % 0.54/0.71 (step @p62 :rule eq-refl :args (@t16)) % 0.54/0.71 (step @p63 :rule cong :premises (@p62) :args (@t62)) % 0.54/0.71 (step @p64 :rule trans :premises (@p63 @p61)) % 0.54/0.71 (step @p65 :rule nary_cong :premises (@p64 @p60) :args (@t63)) % 0.54/0.71 (step @p66 :rule trans :premises (@p65 @p59)) % 0.54/0.71 (step @p67 :rule cong :premises (@p66) :args ((forall @t51 @t63))) % 0.54/0.71 (step @p68 :rule quant-var-elim-eq :args ((= (forall @t8 @t66) @t63))) % 0.54/0.71 (step @p69 :rule aci_norm :args ((= @t67 @t66))) % 0.54/0.71 (step @p70 :rule cong :premises (@p69) :args (@t68)) % 0.54/0.71 (step @p71 :rule trans :premises (@p70 @p68)) % 0.54/0.71 (step @p72 :rule cong :premises (@p71) :args (@t69)) % 0.54/0.71 (step @p73 :rule quant-merge-prenex :args ((= @t69 @t71))) % 0.54/0.71 (step @p74 :rule symm :premises (@p73)) % 0.54/0.71 (step @p75 :rule quant_var_reordering :args ((= (forall @t20 @t67) @t71))) % 0.54/0.71 (step @p76 :rule trans :premises (@p75 @p74 @p72)) % 0.54/0.71 (step @p77 :rule trans :premises (@p76 @p67)) % 0.54/0.71 (step @p78 :rule refl :args ((tptp.in @t4 @t24))) % 0.54/0.71 (step @p79 :rule cong :premises (@p14 @p13) :args (@t64)) % 0.54/0.71 (step @p80 :rule trans :premises (@p79 @p78)) % 0.54/0.71 (step @p81 :rule refl :args (@t5)) % 0.54/0.71 (step @p82 :rule ho_cong :premises (@p81 @p13)) % 0.54/0.71 (step @p83 :rule cong :premises (@p82 @p80) :args ((= (_ @t5 @t48) @t64))) % 0.54/0.71 (step @p84 :rule symm :premises (@p83)) % 0.54/0.71 (step @p85 :rule refl :args (@t25)) % 0.54/0.71 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.54/0.71 (step @p87 :rule ho_cong :premises (@p81 @p35)) % 0.54/0.71 (step @p88 :rule trans :premises (@p87 @p86)) % 0.54/0.71 (step @p89 :rule refl :args (@t65)) % 0.54/0.71 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t72)) % 0.54/0.71 (step @p91 :rule cong :premises (@p90) :args ((forall @t20 @t72))) % 0.54/0.71 (step @p92 :rule trans :premises (@p91 @p77)) % 0.54/0.71 (step @p93 :rule bool-impl-elim :args (@t23 @t25)) % 0.54/0.71 (step @p94 :rule cong :premises (@p93) :args (@t28)) % 0.54/0.71 (step @p95 :rule trans :premises (@p94 @p92)) % 0.54/0.71 (step @p96 :rule refl :args (tptp.eqinunit)) % 0.54/0.71 (step @p97 :rule cong :premises (@p96 @p95) :args (@t29)) % 0.54/0.71 (step @p98 :rule eq_resolve :premises (@p4 @p97)) % 0.54/0.71 (step @p99 :rule cong :premises (@p98 @p58) :args (@t73)) % 0.54/0.71 (step @p100 :rule refl :args (@t23)) % 0.54/0.71 (step @p101 :rule cong :premises (@p88) :args (@t74)) % 0.54/0.71 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t75)) % 0.54/0.71 (step @p103 :rule cong :premises (@p102) :args ((forall @t20 @t75))) % 0.54/0.71 (step @p104 :rule bool-impl-elim :args (@t25 @t23)) % 0.54/0.71 (step @p105 :rule cong :premises (@p104) :args (@t26)) % 0.54/0.71 (step @p106 :rule trans :premises (@p105 @p103)) % 0.54/0.71 (step @p107 :rule refl :args (tptp.uniqinunit)) % 0.54/0.71 (step @p108 :rule cong :premises (@p107 @p106) :args (@t27)) % 0.54/0.71 (step @p109 :rule eq_resolve :premises (@p3 @p108)) % 0.54/0.71 (step @p110 :rule cong :premises (@p109 @p99) :args (@t76)) % 0.54/0.71 (step @p111 :rule refl :args ((tptp.in @t4 @t18))) % 0.54/0.71 (step @p112 :rule refl :args (@t77)) % 0.54/0.71 (step @p113 :rule cong :premises (@p14 @p112) :args (@t78)) % 0.54/0.71 (step @p114 :rule trans :premises (@p113 @p111)) % 0.54/0.71 (step @p115 :rule ho_cong :premises (@p81 @p112)) % 0.54/0.71 (step @p116 :rule cong :premises (@p115 @p114) :args ((= (_ @t5 @t77) @t78))) % 0.54/0.71 (step @p117 :rule symm :premises (@p116)) % 0.54/0.71 (step @p118 :rule refl :args (@t19)) % 0.54/0.71 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.54/0.71 (step @p120 :rule refl :args (@t18)) % 0.54/0.71 (step @p121 :rule cong :premises (@p120 @p112) :args ((= @t18 @t77))) % 0.54/0.71 (step @p122 :rule symm :premises (@p121)) % 0.54/0.71 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.54/0.71 (step @p124 :rule ho_cong :premises 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(step @p170 :rule cong :premises (@p169) :args ((not @t92))) % 0.54/0.71 (step @p171 :rule aci_norm :args ((= (or false @t50) @t50))) % 0.54/0.71 (step @p172 :rule eq-symm :args (@t49 @t48)) % 0.54/0.71 (step @p173 :rule nary_cong :premises (@p64 @p172) :args (@t93)) % 0.54/0.71 (step @p174 :rule trans :premises (@p173 @p171)) % 0.54/0.71 (step @p175 :rule cong :premises (@p174) :args ((forall @t51 @t93))) % 0.54/0.71 (step @p176 :rule quant-var-elim-eq :args ((= (forall @t8 @t96) @t93))) % 0.54/0.71 (step @p177 :rule aci_norm :args ((= @t97 @t96))) % 0.54/0.71 (step @p178 :rule cong :premises (@p177) :args (@t98)) % 0.54/0.71 (step @p179 :rule trans :premises (@p178 @p176)) % 0.54/0.71 (step @p180 :rule cong :premises (@p179) :args (@t99)) % 0.54/0.71 (step @p181 :rule quant-merge-prenex :args ((= @t99 @t100))) % 0.54/0.71 (step @p182 :rule symm :premises (@p181)) % 0.54/0.71 (step @p183 :rule quant_var_reordering :args ((= (forall @t20 @t97) @t100))) % 0.54/0.71 (step @p184 :rule 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(@p227) :args ((or @t117 @t120))) % 0.54/0.71 (step @p229 :rule cnf_or_neg :args (@t120 1)) % 0.54/0.71 (step @p230 :rule not_implies_elim2 :premises (@p206)) % 0.54/0.71 (step @p231 :rule not_implies_elim2 :premises (@p230)) % 0.54/0.71 (step @p232 :rule not_implies_elim2 :premises (@p231)) % 0.54/0.71 (step @p233 :rule not_implies_elim1 :premises (@p232)) % 0.54/0.71 (step @p234 :rule instantiate :premises (@p233) :args ((@list @t102 @t102 @t116))) % 0.54/0.71 (step @p235 :rule cnf_or_pos :args (@t122)) % 0.54/0.71 (step @p236 :rule factoring :premises (@p235)) % 0.54/0.71 (step @p237 :rule reordering :premises (@p236) :args ((or @t119 @t121 (not @t122)))) % 0.54/0.71 (step @p238 :rule instantiate :premises (@p207) :args ((@list @t102 tptp.emptyset))) % 0.54/0.71 (step @p239 :rule refl :args (@t123)) % 0.54/0.71 (step @p240 :rule bool-double-not-elim :args (@t118)) % 0.54/0.71 (step @p241 :rule refl :args (@t125)) % 0.54/0.71 (step @p242 :rule nary_cong :premises (@p241 @p240 @p239) :args ((or @t125 (not @t126) @t123))) % 0.54/0.71 (assume-push @p356 @t124) % 0.54/0.71 (assume-push @p357 @t121) % 0.54/0.71 (assume-push @p358 @t126) % 0.54/0.71 (step @p246 :rule evaluate :args (@t127)) % 0.54/0.71 (step @p247 :rule true_intro :premises (@p238)) % 0.54/0.71 (step @p248 :rule refl :args (@t103)) % 0.54/0.71 (step @p249 :rule symm :premises (@p357)) % 0.54/0.71 (step @p250 :rule cong :premises (@p249 @p248) :args (@t118)) % 0.54/0.71 (step @p251 :rule false_intro :premises (@p358)) % 0.54/0.71 (step @p252 :rule symm :premises (@p251)) % 0.54/0.71 (step @p253 :rule trans :premises (@p252 @p250 @p247)) % 0.54/0.71 (step @p254 false :rule eq_resolve :premises (@p253 @p246)) % 0.54/0.71 (step-pop @p359 :rule scope :premises (@p254)) % 0.54/0.71 (step-pop @p360 :rule scope :premises (@p359)) % 0.54/0.71 (step-pop @p361 :rule scope :premises (@p360)) % 0.54/0.71 (step @p255 :rule process_scope :premises (@p361) :args (false)) % 0.54/0.71 (assume-push @p362 @t124) % 0.54/0.71 (assume-push @p363 @t126) % 0.54/0.71 (assume-push @p364 @t121) % 0.54/0.71 (step @p262 :rule and_intro :premises (@p238 @p364 @p363)) % 0.54/0.71 (step-pop @p365 :rule scope :premises (@p262)) % 0.54/0.71 (step-pop @p366 :rule scope :premises (@p365)) % 0.54/0.71 (step-pop @p367 :rule scope :premises (@p366)) % 0.54/0.71 (step @p263 :rule process_scope :premises (@p367) :args (@t128)) % 0.54/0.71 (step @p267 :rule implies_elim :premises (@p263)) % 0.54/0.71 (step @p268 :rule resolution :premises (@p267 @p255) :args (true @t128)) % 0.54/0.71 (step @p269 :rule not_and :premises (@p268)) % 0.54/0.71 (step @p270 :rule eq_resolve :premises (@p269 @p242)) % 0.54/0.71 (step @p271 :rule chain_m_resolution :premises (@p270 @p238 @p237 @p234 @p229 @p228) :args (@t120 (@list false false false true false) (@list @t124 @t121 @t122 @t118 @t117))) % 0.54/0.71 (step @p272 :rule refl :args (@t129)) % 0.54/0.71 (step @p273 :rule bool-double-not-elim :args (@t109)) % 0.54/0.71 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or (not @t110) @t129))) % 0.54/0.71 (assume-push @p368 @t110) % 0.54/0.71 (step @p276 :rule skolemize :premises (@p368)) % 0.54/0.71 (step-pop @p369 :rule scope :premises (@p276)) % 0.54/0.71 (step @p277 :rule process_scope :premises (@p369) :args (@t129)) % 0.54/0.71 (step @p279 :rule implies_elim :premises (@p277)) % 0.54/0.71 (step @p280 :rule eq_resolve :premises (@p279 @p274)) % 0.54/0.71 (step @p281 :rule chain_m_resolution :premises (@p280 @p271) :args (@t109 @t115 (@list @t120))) % 0.54/0.71 (step @p282 :rule not_implies_elim2 :premises (@p232)) % 0.54/0.71 (step @p283 :rule skolemize :premises (@p282)) % 0.54/0.71 (step @p284 :rule cnf_or_pos :args (@t114)) % 0.54/0.71 (step @p285 :rule reordering :premises (@p284) :args ((or @t113 @t110 @t108 (not @t114)))) % 0.54/0.71 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p281 @p222) :args (@t108 (@list true false false) (@list @t113 @t109 @t114))) % 0.54/0.71 (step @p287 :rule refl :args (@t135)) % 0.54/0.71 (step @p288 :rule bool-double-not-elim :args (@t107)) % 0.54/0.71 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or (not @t108) @t135))) % 0.54/0.71 (assume-push @p370 @t108) % 0.54/0.71 (step @p291 :rule skolemize :premises (@p370)) % 0.54/0.71 (step-pop @p371 :rule scope :premises (@p291)) % 0.54/0.71 (step @p292 :rule process_scope :premises (@p371) :args (@t135)) % 0.54/0.71 (step @p294 :rule implies_elim :premises (@p292)) % 0.54/0.71 (step @p295 :rule eq_resolve :premises (@p294 @p289)) % 0.54/0.71 (step @p296 :rule chain_m_resolution :premises (@p295 @p286) :args (@t135 @t136 (@list @t107))) % 0.54/0.71 (step @p297 :rule cnf_or_neg :args (@t134 1)) % 0.54/0.71 (step @p298 :rule chain_m_resolution :premises (@p297 @p296) :args (@t137 @t136 @t138)) % 0.54/0.71 (step @p299 :rule not_implies_elim1 :premises (@p230)) % 0.54/0.71 (step @p300 :rule eq-symm :args (@t130 @t102)) % 0.54/0.71 (step @p301 :rule refl :args (@t133)) % 0.54/0.71 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t139)) % 0.54/0.71 (step @p303 :rule refl :args (@t140)) % 0.54/0.71 (step @p304 :rule cong :premises (@p303 @p302) :args ((=> @t140 @t139))) % 0.54/0.71 (assume-push @p372 @t140) % 0.54/0.71 (step @p306 :rule instantiate :premises (@p299) :args ((@list @t130 @t102))) % 0.54/0.71 (step-pop @p373 :rule scope :premises (@p306)) % 0.54/0.71 (step @p307 :rule process_scope :premises (@p373) :args (@t139)) % 0.54/0.71 (step @p309 :rule eq_resolve :premises (@p307 @p304)) % 0.54/0.71 (step @p310 :rule implies_elim :premises (@p309)) % 0.54/0.71 (step @p311 :rule chain_m_resolution :premises (@p310 @p299) :args (@t142 @t115 (@list @t140))) % 0.54/0.71 (step @p312 :rule bool-double-not-elim :args (@t132)) % 0.54/0.71 (step @p313 :rule refl :args (@t134)) % 0.54/0.71 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or @t134 (not @t133)))) % 0.54/0.71 (step @p315 :rule cnf_or_neg :args (@t134 0)) % 0.54/0.71 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 0.54/0.71 (step @p317 :rule reordering :premises (@p316) :args ((or @t132 @t134))) % 0.54/0.71 (step @p318 :rule chain_m_resolution :premises (@p317 @p296) :args (@t132 @t136 @t138)) % 0.54/0.71 (step @p319 :rule cnf_or_pos :args (@t142)) % 0.54/0.71 (step @p320 :rule reordering :premises (@p319) :args ((or @t133 @t141 (not @t142)))) % 0.54/0.71 (step @p321 :rule chain_m_resolution :premises (@p320 @p318 @p311) :args (@t141 (@list false false) (@list @t132 @t142))) % 0.54/0.71 (step @p322 :rule refl :args (@t143)) % 0.54/0.71 (step @p323 :rule bool-double-not-elim :args (@t131)) % 0.54/0.71 (step @p324 :rule refl :args (@t145)) % 0.54/0.71 (step @p325 :rule nary_cong :premises (@p324 @p323 @p322) :args ((or @t145 (not @t137) @t143))) % 0.54/0.71 (assume-push @p374 @t144) % 0.54/0.71 (assume-push @p375 @t141) % 0.54/0.71 (assume-push @p376 @t137) % 0.54/0.71 (step @p246 :rule evaluate :args (@t127)) % 0.54/0.71 (step @p329 :rule true_intro :premises (@p208)) % 0.54/0.71 (step @p330 :rule refl :args (@t104)) % 0.54/0.71 (step @p331 :rule symm :premises (@p375)) % 0.54/0.71 (step @p332 :rule cong :premises (@p331 @p330) :args (@t131)) % 0.54/0.71 (step @p333 :rule false_intro :premises (@p376)) % 0.54/0.71 (step @p334 :rule symm :premises (@p333)) % 0.54/0.71 (step @p335 :rule trans :premises (@p334 @p332 @p329)) % 0.54/0.71 (step @p336 false :rule eq_resolve :premises (@p335 @p246)) % 0.54/0.71 (step-pop @p377 :rule scope :premises (@p336)) % 0.54/0.71 (step-pop @p378 :rule scope :premises (@p377)) % 0.54/0.71 (step-pop @p379 :rule scope :premises (@p378)) % 0.54/0.71 (step @p337 :rule process_scope :premises (@p379) :args (false)) % 0.54/0.71 (assume-push @p380 @t144) % 0.54/0.71 (assume-push @p381 @t137) % 0.54/0.71 (assume-push @p382 @t141) % 0.54/0.71 (step @p344 :rule and_intro :premises (@p208 @p382 @p381)) % 0.54/0.71 (step-pop @p383 :rule scope :premises (@p344)) % 0.54/0.71 (step-pop @p384 :rule scope :premises (@p383)) % 0.54/0.71 (step-pop @p385 :rule scope :premises (@p384)) % 0.54/0.71 (step @p345 :rule process_scope :premises (@p385) :args (@t146)) % 0.54/0.71 (step @p349 :rule implies_elim :premises (@p345)) % 0.54/0.71 (step @p350 :rule resolution :premises (@p349 @p337) :args (true @t146)) % 0.54/0.71 (step @p351 :rule not_and :premises (@p350)) % 0.54/0.72 (step @p352 :rule eq_resolve :premises (@p351 @p325)) % 0.54/0.72 (step @p353 false :rule chain_m_resolution :premises (@p352 @p321 @p298 @p208) :args (false (@list false true false) (@list @t141 @t131 @t144))) % 0.54/0.72 ) % 0.54/0.72 % SZS output end Proof % 0.54/0.72 % cvc5 exiting %------------------------------------------------------------------------------