%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU996^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:53:38 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU996^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n001.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 18:07:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort tptp.a 0) % 0.38/0.60 (define @t1 () (@var "Xz" tptp.a)) % 0.38/0.60 (define @t2 () (@var "Xy" tptp.a)) % 0.38/0.60 (define @t3 () (@var "Xx" tptp.a)) % 0.38/0.60 (define @t4 () (@var "JOIN" (-> tptp.a tptp.a tptp.a))) % 0.38/0.60 (define @t5 () (_ @t4 @t3)) % 0.38/0.60 (define @t6 () (_ @t5 @t2)) % 0.38/0.60 (define @t7 () (@var "MEET" (-> tptp.a tptp.a tptp.a))) % 0.38/0.60 (define @t8 () (_ @t7 @t6)) % 0.38/0.60 (define @t9 () (_ @t8 @t1)) % 0.38/0.60 (define @t10 () (_ @t7 @t2)) % 0.38/0.60 (define @t11 () (_ @t10 @t1)) % 0.38/0.60 (define @t12 () (_ @t5 @t11)) % 0.38/0.60 (define @t13 () (= @t12 @t9)) % 0.38/0.60 (define @t14 () (_ @t5 @t1)) % 0.38/0.60 (define @t15 () (=> (= @t14 @t1) @t13)) % 0.38/0.60 (define @t16 () (@list @t3 @t2 @t1)) % 0.38/0.60 (define @t17 () (forall @t16 @t15)) % 0.38/0.60 (define @t18 () (_ @t7 @t3)) % 0.38/0.60 (define @t19 () (_ @t18 @t1)) % 0.38/0.60 (define @t20 () (_ @t18 @t2)) % 0.38/0.60 (define @t21 () (_ @t4 @t20)) % 0.38/0.60 (define @t22 () (_ @t21 @t19)) % 0.38/0.60 (define @t23 () (_ @t4 @t2)) % 0.38/0.60 (define @t24 () (_ @t23 @t1)) % 0.38/0.60 (define @t25 () (_ @t18 @t24)) % 0.38/0.60 (define @t26 () (= @t25 @t22)) % 0.38/0.60 (define @t27 () (forall @t16 @t26)) % 0.38/0.60 (define @t28 () (_ @t8 @t14)) % 0.38/0.60 (define @t29 () (= @t12 @t28)) % 0.38/0.60 (define @t30 () (forall @t16 @t29)) % 0.38/0.60 (define @t31 () (_ @t8 @t2)) % 0.38/0.60 (define @t32 () (@list @t3 @t2)) % 0.38/0.60 (define @t33 () (forall @t32 (= @t31 @t2))) % 0.38/0.60 (define @t34 () (_ @t21 @t2)) % 0.38/0.60 (define @t35 () (forall @t32 (= @t34 @t2))) % 0.38/0.60 (define @t36 () (_ @t10 @t3)) % 0.38/0.60 (define @t37 () (= @t20 @t36)) % 0.38/0.60 (define @t38 () (forall @t32 @t37)) % 0.38/0.60 (define @t39 () (_ @t23 @t3)) % 0.38/0.60 (define @t40 () (= @t6 @t39)) % 0.38/0.60 (define @t41 () (forall @t32 @t40)) % 0.38/0.60 (define @t42 () (_ @t18 @t11)) % 0.38/0.60 (define @t43 () (_ (_ @t7 @t20) @t1)) % 0.38/0.60 (define @t44 () (= @t43 @t42)) % 0.38/0.60 (define @t45 () (forall @t16 @t44)) % 0.38/0.60 (define @t46 () (_ @t5 @t24)) % 0.38/0.60 (define @t47 () (_ (_ @t4 @t6) @t1)) % 0.38/0.60 (define @t48 () (= @t47 @t46)) % 0.38/0.60 (define @t49 () (forall @t16 @t48)) % 0.38/0.60 (define @t50 () (_ @t18 @t3)) % 0.38/0.60 (define @t51 () (@list @t3)) % 0.38/0.60 (define @t52 () (forall @t51 (= @t50 @t3))) % 0.38/0.60 (define @t53 () (_ @t5 @t3)) % 0.38/0.60 (define @t54 () (forall @t51 (= @t53 @t3))) % 0.38/0.60 (define @t55 () (and @t54 @t52 @t49 @t45 @t41 @t38 @t35 @t33 @t30 @t27)) % 0.38/0.60 (define @t56 () (=> @t55 @t17)) % 0.38/0.60 (define @t57 () (@list @t4 @t7)) % 0.38/0.60 (define @t58 () (forall @t57 @t56)) % 0.38/0.60 (define @t59 () (not @t58)) % 0.38/0.60 (define @t60 () (@var "BOUND_VARIABLE_7571" tptp.a)) % 0.38/0.60 (define @t61 () (@var "BOUND_VARIABLE_7569" tptp.a)) % 0.38/0.60 (define @t62 () (@var "BOUND_VARIABLE_7567" tptp.a)) % 0.38/0.60 (define @t63 () (= (_ @t4 @t62 (_ @t7 @t61 @t60)) (_ @t7 (_ @t4 @t62 @t61) @t60))) % 0.38/0.60 (define @t64 () (not (= @t60 (_ @t4 @t62 @t60)))) % 0.38/0.60 (define @t65 () (_ @t7 @t3 @t1)) % 0.38/0.60 (define @t66 () (_ @t7 @t3 @t2)) % 0.38/0.60 (define @t67 () (_ @t4 @t66 @t65)) % 0.38/0.60 (define @t68 () (_ @t4 @t2 @t1)) % 0.38/0.60 (define @t69 () (_ @t7 @t3 @t68)) % 0.38/0.60 (define @t70 () (forall @t16 (= @t69 @t67))) % 0.38/0.60 (define @t71 () (not @t70)) % 0.38/0.60 (define @t72 () (_ @t4 @t3 @t1)) % 0.38/0.60 (define @t73 () (_ @t4 @t3 @t2)) % 0.38/0.60 (define @t74 () (_ @t7 @t73 @t72)) % 0.38/0.60 (define @t75 () (_ @t7 @t2 @t1)) % 0.38/0.60 (define @t76 () (_ @t4 @t3 @t75)) % 0.38/0.60 (define @t77 () (forall @t16 (= @t76 @t74))) % 0.38/0.60 (define @t78 () (not @t77)) % 0.38/0.60 (define @t79 () (_ @t7 @t73 @t2)) % 0.38/0.60 (define @t80 () (forall @t32 (= @t2 @t79))) % 0.38/0.60 (define @t81 () (not @t80)) % 0.38/0.60 (define @t82 () (_ @t4 @t66 @t2)) % 0.38/0.60 (define @t83 () (forall @t32 (= @t2 @t82))) % 0.38/0.60 (define @t84 () (not @t83)) % 0.38/0.60 (define @t85 () (_ @t7 @t2 @t3)) % 0.38/0.60 (define @t86 () (forall @t32 (= @t66 @t85))) % 0.38/0.60 (define @t87 () (not @t86)) % 0.38/0.60 (define @t88 () (_ @t4 @t2 @t3)) % 0.38/0.60 (define @t89 () (forall @t32 (= @t73 @t88))) % 0.38/0.60 (define @t90 () (not @t89)) % 0.38/0.60 (define @t91 () (_ @t7 @t3 @t75)) % 0.38/0.60 (define @t92 () (_ @t7 @t66 @t1)) % 0.38/0.60 (define @t93 () (forall @t16 (= @t92 @t91))) % 0.38/0.60 (define @t94 () (not @t93)) % 0.38/0.60 (define @t95 () (_ @t4 @t3 @t68)) % 0.38/0.60 (define @t96 () (_ @t4 @t73 @t1)) % 0.38/0.60 (define @t97 () (forall @t16 (= @t96 @t95))) % 0.38/0.60 (define @t98 () (not @t97)) % 0.38/0.60 (define @t99 () (_ @t7 @t3 @t3)) % 0.38/0.60 (define @t100 () (forall @t51 (= @t3 @t99))) % 0.38/0.60 (define @t101 () (not @t100)) % 0.38/0.60 (define @t102 () (_ @t4 @t3 @t3)) % 0.38/0.60 (define @t103 () (forall @t51 (= @t3 @t102))) % 0.38/0.60 (define @t104 () (not @t103)) % 0.38/0.60 (define @t105 () (or @t104 @t101 @t98 @t94 @t90 @t87 @t84 @t81 @t78 @t71 @t64 @t63)) % 0.38/0.60 (define @t106 () (or @t64 @t63)) % 0.38/0.60 (define @t107 () (or @t104 @t101 @t98 @t94 @t90 @t87 @t84 @t81 @t78 @t71 @t106)) % 0.38/0.60 (define @t108 () (@list @t4 @t7 @t62 @t61 @t60)) % 0.38/0.60 (define @t109 () (forall @t108 @t107)) % 0.38/0.60 (define @t110 () (@list @t62 @t61 @t60)) % 0.38/0.60 (define @t111 () (forall @t110 @t107)) % 0.38/0.60 (define @t112 () (forall @t110 @t106)) % 0.38/0.60 (define @t113 () (or @t104 @t101 @t98 @t94 @t90 @t87 @t84 @t81 @t78 @t71 @t112)) % 0.38/0.60 (define @t114 () (_ @t7 @t73 @t1)) % 0.38/0.60 (define @t115 () (forall @t16 (or (not (= @t1 @t72)) (= @t76 @t114)))) % 0.38/0.60 (define @t116 () (or @t104 @t101 @t98 @t94 @t90 @t87 @t84 @t81 @t78 @t71 @t115)) % 0.38/0.60 (define @t117 () (or @t104 @t101 @t98 @t94 @t90 @t87 @t84 @t81 @t78 @t71)) % 0.38/0.60 (define @t118 () (and @t103 @t100 @t97 @t93 @t89 @t86 @t83 @t80 @t77 @t70)) % 0.38/0.60 (define @t119 () (_ @t7 @t73)) % 0.38/0.60 (define @t120 () (= @t1 @t14)) % 0.38/0.60 (define @t121 () (not @t120)) % 0.38/0.60 (define @t122 () (or @t121 @t13)) % 0.38/0.60 (define @t123 () (_ @t4 @t66)) % 0.38/0.60 (define @t124 () (= @t2 @t31)) % 0.38/0.60 (define @t125 () (= @t2 @t34)) % 0.38/0.60 (define @t126 () (= @t3 @t50)) % 0.38/0.60 (define @t127 () (= @t3 @t53)) % 0.38/0.60 (define @t128 () (forall @t108 @t105)) % 0.38/0.60 (define @t129 () (@quantifiers_skolemize @t128 0)) % 0.38/0.60 (define @t130 () (_ @t129 @t3 @t2)) % 0.38/0.60 (define @t131 () (@quantifiers_skolemize @t128 1)) % 0.38/0.60 (define @t132 () (_ @t131 @t2 @t1)) % 0.38/0.60 (define @t133 () (forall @t16 (= (_ @t129 @t3 @t132) (_ @t131 @t130 (_ @t129 @t3 @t1))))) % 0.38/0.60 (define @t134 () (@quantifiers_skolemize @t128 4)) % 0.38/0.60 (define @t135 () (@quantifiers_skolemize @t128 3)) % 0.38/0.60 (define @t136 () (@quantifiers_skolemize @t128 2)) % 0.38/0.60 (define @t137 () (_ @t129 @t136 @t135)) % 0.38/0.60 (define @t138 () (_ @t129 @t136 (_ @t131 @t135 @t134))) % 0.38/0.60 (define @t139 () (= @t138 (_ @t131 @t137 @t134))) % 0.38/0.60 (define @t140 () (_ @t129 @t136 @t134)) % 0.38/0.60 (define @t141 () (= @t134 @t140)) % 0.38/0.60 (define @t142 () (not @t141)) % 0.38/0.60 (define @t143 () (_ @t131 @t3 @t2)) % 0.38/0.60 (define @t144 () (_ @t129 @t2 @t1)) % 0.38/0.60 (define @t145 () (not @t133)) % 0.38/0.60 (define @t146 () (or (not (forall @t51 (= @t3 (_ @t129 @t3 @t3)))) (not (forall @t51 (= @t3 (_ @t131 @t3 @t3)))) (not (forall @t16 (= (_ @t129 @t130 @t1) (_ @t129 @t3 @t144)))) (not (forall @t16 (= (_ @t131 @t143 @t1) (_ @t131 @t3 @t132)))) (not (forall @t32 (= @t130 (_ @t129 @t2 @t3)))) (not (forall @t32 (= @t143 (_ @t131 @t2 @t3)))) (not (forall @t32 (= @t2 (_ @t129 @t143 @t2)))) (not (forall @t32 (= @t2 (_ @t131 @t130 @t2)))) @t145 (not (forall @t16 (= (_ @t131 @t3 @t144) (_ @t129 @t143 (_ @t131 @t3 @t1))))) @t142 @t139)) % 0.38/0.60 (define @t147 () (@list true)) % 0.38/0.60 (define @t148 () (@list @t146)) % 0.38/0.60 (define @t149 () (_ @t131 @t137 @t140)) % 0.38/0.60 (define @t150 () (= @t138 @t149)) % 0.38/0.60 (assume @p1 @t59) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule aci_norm :args ((= @t107 @t105))) % 0.38/0.60 (step @p4 :rule cong :premises (@p3) :args (@t109)) % 0.38/0.60 (step @p5 :rule quant-merge-prenex :args ((= (forall @t57 @t111) @t109))) % 0.38/0.60 (step @p6 :rule alpha_equiv :args (@t112 (@list @t62 @t61 @t60) (@list @t3 @t2 @t1))) % 0.38/0.60 (step @p7 :rule refl :args (@t71)) % 0.38/0.60 (step @p8 :rule refl :args (@t78)) % 0.38/0.60 (step @p9 :rule refl :args (@t81)) % 0.38/0.60 (step @p10 :rule refl :args (@t84)) % 0.38/0.60 (step @p11 :rule refl :args (@t87)) % 0.38/0.60 (step @p12 :rule refl :args (@t90)) % 0.38/0.60 (step @p13 :rule refl :args (@t94)) % 0.38/0.60 (step @p14 :rule refl :args (@t98)) % 0.38/0.60 (step @p15 :rule refl :args (@t101)) % 0.38/0.60 (step @p16 :rule refl :args (@t104)) % 0.38/0.60 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p7 @p6) :args (@t113)) % 0.38/0.60 (step @p18 :rule quant-miniscope-or :args ((= @t111 @t113))) % 0.38/0.60 (step @p19 :rule trans :premises (@p18 @p17)) % 0.38/0.60 (step @p20 :rule symm :premises (@p19)) % 0.38/0.60 (step @p21 :rule cong :premises (@p20) :args ((forall @t57 @t116))) % 0.38/0.60 (step @p22 :rule trans :premises (@p21 @p5)) % 0.38/0.60 (step @p23 :rule trans :premises (@p22 @p4)) % 0.38/0.60 (step @p24 :rule aci_norm :args ((= (or @t117 @t115) @t116))) % 0.38/0.60 (step @p25 :rule refl :args (@t115)) % 0.38/0.60 (step @p26 :rule aci_norm :args ((= (or @t104 (or @t101 (or @t98 (or @t94 (or @t90 (or @t87 (or @t84 (or @t81 (or @t78 @t71))))))))) @t117))) % 0.38/0.60 (step @p27 :rule bool-and-de-morgan :args (@t77 @t70 true)) % 0.38/0.60 (step @p28 :rule nary_cong :premises (@p9 @p27) :args ((or @t81 (not (and @t77 @t70))))) % 0.38/0.60 (step @p29 :rule bool-and-de-morgan :args (@t80 @t77 (and @t70))) % 0.38/0.60 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.60 (step @p31 :rule nary_cong :premises (@p10 @p30) :args ((or @t84 (not (and @t80 @t77 @t70))))) % 0.38/0.60 (step @p32 :rule bool-and-de-morgan :args (@t83 @t80 (and @t77 @t70))) % 0.38/0.60 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.60 (step @p34 :rule nary_cong :premises (@p11 @p33) :args ((or @t87 (not (and @t83 @t80 @t77 @t70))))) % 0.38/0.60 (step @p35 :rule bool-and-de-morgan :args (@t86 @t83 (and @t80 @t77 @t70))) % 0.38/0.60 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.60 (step @p37 :rule nary_cong :premises (@p12 @p36) :args ((or @t90 (not (and @t86 @t83 @t80 @t77 @t70))))) % 0.38/0.60 (step @p38 :rule bool-and-de-morgan :args (@t89 @t86 (and @t83 @t80 @t77 @t70))) % 0.38/0.60 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.60 (step @p40 :rule nary_cong :premises (@p13 @p39) :args ((or @t94 (not (and @t89 @t86 @t83 @t80 @t77 @t70))))) % 0.38/0.60 (step @p41 :rule bool-and-de-morgan :args (@t93 @t89 (and @t86 @t83 @t80 @t77 @t70))) % 0.38/0.60 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.60 (step @p43 :rule nary_cong :premises (@p14 @p42) :args ((or @t98 (not (and @t93 @t89 @t86 @t83 @t80 @t77 @t70))))) % 0.38/0.60 (step @p44 :rule bool-and-de-morgan :args (@t97 @t93 (and @t89 @t86 @t83 @t80 @t77 @t70))) % 0.38/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.61 (step @p46 :rule nary_cong :premises (@p15 @p45) :args ((or @t101 (not (and @t97 @t93 @t89 @t86 @t83 @t80 @t77 @t70))))) % 0.38/0.61 (step @p47 :rule bool-and-de-morgan :args (@t100 @t97 (and @t93 @t89 @t86 @t83 @t80 @t77 @t70))) % 0.38/0.61 (step @p48 :rule trans :premises (@p47 @p46)) % 0.38/0.61 (step @p49 :rule nary_cong :premises (@p16 @p48) :args ((or @t104 (not (and @t100 @t97 @t93 @t89 @t86 @t83 @t80 @t77 @t70))))) % 0.38/0.61 (step @p50 :rule bool-and-de-morgan :args (@t103 @t100 (and @t97 @t93 @t89 @t86 @t83 @t80 @t77 @t70))) % 0.38/0.61 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.61 (step @p52 :rule trans :premises (@p51 @p26)) % 0.38/0.61 (step @p53 :rule nary_cong :premises (@p52 @p25) :args ((or (not @t118) @t115))) % 0.38/0.61 (step @p54 :rule trans :premises (@p53 @p24)) % 0.38/0.61 (step @p55 :rule bool-impl-elim :args (@t118 @t115)) % 0.38/0.61 (step @p56 :rule trans :premises (@p55 @p54)) % 0.38/0.61 (step @p57 :rule cong :premises (@p56) :args ((forall @t57 (=> @t118 @t115)))) % 0.38/0.61 (step @p58 :rule trans :premises (@p57 @p23)) % 0.38/0.61 (step @p59 :rule refl :args ((_ @t7 @t6 @t1))) % 0.38/0.61 (step @p60 :rule refl :args (@t1)) % 0.38/0.61 (step @p61 :rule refl :args (@t73)) % 0.38/0.61 (step @p62 :rule cong :premises (@p61 @p60) :args (@t114)) % 0.38/0.61 (step @p63 :rule trans :premises (@p62 @p59)) % 0.38/0.61 (step @p64 :rule refl :args (@t7)) % 0.38/0.61 (step @p65 :rule ho_cong :premises (@p64 @p61)) % 0.38/0.61 (step @p66 :rule ho_cong :premises (@p65 @p60)) % 0.38/0.61 (step @p67 :rule cong :premises (@p66 @p63) :args ((= (_ @t119 @t1) @t114))) % 0.38/0.61 (step @p68 :rule symm :premises (@p67)) % 0.38/0.61 (step @p69 :rule refl :args (@t9)) % 0.38/0.61 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.38/0.61 (step @p71 :rule refl :args (@t6)) % 0.38/0.61 (step @p72 :rule cong :premises (@p71 @p61) :args ((= @t6 @t73))) % 0.38/0.61 (step @p73 :rule symm :premises (@p72)) % 0.38/0.61 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.38/0.61 (step @p75 :rule ho_cong :premises (@p64 @p74)) % 0.38/0.61 (step @p76 :rule ho_cong :premises (@p75 @p60)) % 0.38/0.61 (step @p77 :rule trans :premises (@p76 @p70)) % 0.38/0.61 (step @p78 :rule refl :args ((_ @t4 @t3 @t11))) % 0.38/0.61 (step @p79 :rule refl :args (@t75)) % 0.38/0.61 (step @p80 :rule refl :args (@t3)) % 0.38/0.61 (step @p81 :rule cong :premises (@p80 @p79) :args (@t76)) % 0.38/0.61 (step @p82 :rule trans :premises (@p81 @p78)) % 0.38/0.61 (step @p83 :rule refl :args (@t5)) % 0.38/0.61 (step @p84 :rule ho_cong :premises (@p83 @p79)) % 0.38/0.61 (step @p85 :rule cong :premises (@p84 @p82) :args ((= (_ @t5 @t75) @t76))) % 0.38/0.61 (step @p86 :rule symm :premises (@p85)) % 0.38/0.61 (step @p87 :rule refl :args (@t12)) % 0.38/0.61 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.38/0.61 (step @p89 :rule refl :args (@t11)) % 0.38/0.61 (step @p90 :rule cong :premises (@p89 @p79) :args ((= @t11 @t75))) % 0.38/0.61 (step @p91 :rule symm :premises (@p90)) % 0.38/0.61 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 0.38/0.61 (step @p93 :rule ho_cong :premises (@p83 @p92)) % 0.38/0.61 (step @p94 :rule trans :premises (@p93 @p88)) % 0.38/0.61 (step @p95 :rule cong :premises (@p94 @p77) :args (@t13)) % 0.38/0.61 (step @p96 :rule refl :args (@t72)) % 0.38/0.61 (step @p97 :rule refl :args (@t14)) % 0.38/0.61 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t14 @t72))) % 0.38/0.61 (step @p99 :rule symm :premises (@p98)) % 0.38/0.61 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.38/0.61 (step @p101 :rule cong :premises (@p60 @p100) :args (@t120)) % 0.38/0.61 (step @p102 :rule cong :premises (@p101) :args (@t121)) % 0.38/0.61 (step @p103 :rule nary_cong :premises (@p102 @p95) :args (@t122)) % 0.38/0.61 (step @p104 :rule cong :premises (@p103) :args ((forall @t16 @t122))) % 0.38/0.61 (step @p105 :rule bool-impl-elim :args (@t120 @t13)) % 0.38/0.61 (step @p106 :rule cong :premises (@p105) :args ((forall @t16 (=> @t120 @t13)))) % 0.38/0.61 (step @p107 :rule trans :premises (@p106 @p104)) % 0.38/0.61 (step @p108 :rule refl :args (@t13)) % 0.38/0.61 (step @p109 :rule eq-symm :args (@t14 @t1)) % 0.38/0.61 (step @p110 :rule cong :premises (@p109 @p108) :args (@t15)) % 0.38/0.61 (step @p111 :rule cong :premises (@p110) :args (@t17)) % 0.38/0.61 (step @p112 :rule trans :premises (@p111 @p107)) % 0.38/0.61 (step @p113 :rule refl :args ((_ @t4 @t20 @t19))) % 0.38/0.61 (step @p114 :rule refl :args (@t65)) % 0.38/0.61 (step @p115 :rule refl :args (@t66)) % 0.38/0.61 (step @p116 :rule cong :premises (@p115 @p114) :args (@t67)) % 0.38/0.61 (step @p117 :rule trans :premises (@p116 @p113)) % 0.38/0.61 (step @p118 :rule refl :args (@t4)) % 0.38/0.61 (step @p119 :rule ho_cong :premises (@p118 @p115)) % 0.38/0.61 (step @p120 :rule ho_cong :premises (@p119 @p114)) % 0.38/0.61 (step @p121 :rule cong :premises (@p120 @p117) :args ((= (_ @t123 @t65) @t67))) % 0.38/0.61 (step @p122 :rule symm :premises (@p121)) % 0.38/0.61 (step @p123 :rule refl :args (@t22)) % 0.38/0.61 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.38/0.61 (step @p125 :rule refl :args (@t19)) % 0.38/0.61 (step @p126 :rule cong :premises (@p125 @p114) :args ((= @t19 @t65))) % 0.38/0.61 (step @p127 :rule symm :premises (@p126)) % 0.38/0.61 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.38/0.61 (step @p129 :rule refl :args (@t20)) % 0.38/0.61 (step @p130 :rule cong :premises (@p129 @p115) :args ((= @t20 @t66))) % 0.38/0.61 (step @p131 :rule symm :premises (@p130)) % 0.38/0.61 (step @p132 :rule eq_resolve :premises (@p129 @p131)) % 0.38/0.61 (step @p133 :rule ho_cong :premises (@p118 @p132)) % 0.38/0.61 (step @p134 :rule ho_cong :premises (@p133 @p128)) % 0.38/0.61 (step @p135 :rule trans :premises (@p134 @p124)) % 0.38/0.61 (step @p136 :rule refl :args ((_ @t7 @t3 @t24))) % 0.38/0.61 (step @p137 :rule refl :args (@t68)) % 0.38/0.61 (step @p138 :rule cong :premises (@p80 @p137) :args (@t69)) % 0.38/0.61 (step @p139 :rule trans :premises (@p138 @p136)) % 0.38/0.61 (step @p140 :rule refl :args (@t18)) % 0.38/0.61 (step @p141 :rule ho_cong :premises (@p140 @p137)) % 0.38/0.61 (step @p142 :rule cong :premises (@p141 @p139) :args ((= (_ @t18 @t68) @t69))) % 0.38/0.61 (step @p143 :rule symm :premises (@p142)) % 0.38/0.61 (step @p144 :rule refl :args (@t25)) % 0.38/0.61 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.38/0.61 (step @p146 :rule refl :args (@t24)) % 0.38/0.61 (step @p147 :rule cong :premises (@p146 @p137) :args ((= @t24 @t68))) % 0.38/0.61 (step @p148 :rule symm :premises (@p147)) % 0.38/0.61 (step @p149 :rule eq_resolve :premises (@p146 @p148)) % 0.38/0.61 (step @p150 :rule ho_cong :premises (@p140 @p149)) % 0.38/0.61 (step @p151 :rule trans :premises (@p150 @p145)) % 0.38/0.61 (step @p152 :rule cong :premises (@p151 @p135) :args (@t26)) % 0.38/0.61 (step @p153 :rule cong :premises (@p152) :args (@t27)) % 0.38/0.61 (step @p154 :rule refl :args ((_ @t7 @t6 @t14))) % 0.38/0.61 (step @p155 :rule cong :premises (@p61 @p96) :args (@t74)) % 0.38/0.61 (step @p156 :rule trans :premises (@p155 @p154)) % 0.38/0.61 (step @p157 :rule ho_cong :premises (@p65 @p96)) % 0.38/0.61 (step @p158 :rule cong :premises (@p157 @p156) :args ((= (_ @t119 @t72) @t74))) % 0.38/0.61 (step @p159 :rule symm :premises (@p158)) % 0.38/0.61 (step @p160 :rule refl :args (@t28)) % 0.38/0.61 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.38/0.61 (step @p162 :rule ho_cong :premises (@p75 @p100)) % 0.38/0.61 (step @p163 :rule trans :premises (@p162 @p161)) % 0.38/0.61 (step @p164 :rule cong :premises (@p94 @p163) :args (@t29)) % 0.38/0.61 (step @p165 :rule cong :premises (@p164) :args (@t30)) % 0.38/0.61 (step @p166 :rule refl :args ((_ @t7 @t6 @t2))) % 0.38/0.61 (step @p167 :rule refl :args (@t2)) % 0.38/0.61 (step @p168 :rule cong :premises (@p61 @p167) :args (@t79)) % 0.38/0.61 (step @p169 :rule trans :premises (@p168 @p166)) % 0.38/0.61 (step @p170 :rule ho_cong :premises (@p65 @p167)) % 0.38/0.61 (step @p171 :rule cong :premises (@p170 @p169) :args ((= (_ @t119 @t2) @t79))) % 0.38/0.61 (step @p172 :rule symm :premises (@p171)) % 0.38/0.61 (step @p173 :rule refl :args (@t31)) % 0.38/0.61 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.38/0.61 (step @p175 :rule ho_cong :premises (@p75 @p167)) % 0.38/0.61 (step @p176 :rule trans :premises (@p175 @p174)) % 0.38/0.61 (step @p177 :rule cong :premises (@p167 @p176) :args (@t124)) % 0.38/0.61 (step @p178 :rule cong :premises (@p177) :args ((forall @t32 @t124))) % 0.38/0.61 (step @p179 :rule eq-symm :args (@t31 @t2)) % 0.38/0.61 (step @p180 :rule cong :premises (@p179) :args (@t33)) % 0.38/0.61 (step @p181 :rule trans :premises (@p180 @p178)) % 0.38/0.61 (step @p182 :rule refl :args ((_ @t4 @t20 @t2))) % 0.38/0.61 (step @p183 :rule cong :premises (@p115 @p167) :args (@t82)) % 0.38/0.61 (step @p184 :rule trans :premises (@p183 @p182)) % 0.38/0.61 (step @p185 :rule ho_cong :premises (@p119 @p167)) % 0.38/0.61 (step @p186 :rule cong :premises (@p185 @p184) :args ((= (_ @t123 @t2) @t82))) % 0.38/0.61 (step @p187 :rule symm :premises (@p186)) % 0.38/0.61 (step @p188 :rule refl :args (@t34)) % 0.38/0.61 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.38/0.61 (step @p190 :rule ho_cong :premises (@p133 @p167)) % 0.38/0.61 (step @p191 :rule trans :premises (@p190 @p189)) % 0.38/0.61 (step @p192 :rule cong :premises (@p167 @p191) :args (@t125)) % 0.38/0.61 (step @p193 :rule cong :premises (@p192) :args ((forall @t32 @t125))) % 0.38/0.61 (step @p194 :rule eq-symm :args (@t34 @t2)) % 0.38/0.61 (step @p195 :rule cong :premises (@p194) :args (@t35)) % 0.38/0.61 (step @p196 :rule trans :premises (@p195 @p193)) % 0.38/0.61 (step @p197 :rule refl :args (@t85)) % 0.38/0.61 (step @p198 :rule refl :args (@t36)) % 0.38/0.61 (step @p199 :rule cong :premises (@p198 @p197) :args ((= @t36 @t85))) % 0.38/0.61 (step @p200 :rule symm :premises (@p199)) % 0.38/0.61 (step @p201 :rule eq_resolve :premises (@p198 @p200)) % 0.38/0.61 (step @p202 :rule cong :premises (@p132 @p201) :args (@t37)) % 0.38/0.61 (step @p203 :rule cong :premises (@p202) :args (@t38)) % 0.38/0.61 (step @p204 :rule refl :args (@t88)) % 0.38/0.61 (step @p205 :rule refl :args (@t39)) % 0.38/0.61 (step @p206 :rule cong :premises (@p205 @p204) :args ((= @t39 @t88))) % 0.38/0.61 (step @p207 :rule symm :premises (@p206)) % 0.38/0.61 (step @p208 :rule eq_resolve :premises (@p205 @p207)) % 0.38/0.61 (step @p209 :rule cong :premises (@p74 @p208) :args (@t40)) % 0.38/0.61 (step @p210 :rule cong :premises (@p209) :args (@t41)) % 0.38/0.61 (step @p211 :rule refl :args ((_ @t7 @t3 @t11))) % 0.38/0.61 (step @p212 :rule cong :premises (@p80 @p79) :args (@t91)) % 0.38/0.61 (step @p213 :rule trans :premises (@p212 @p211)) % 0.38/0.61 (step @p214 :rule ho_cong :premises (@p140 @p79)) % 0.38/0.61 (step @p215 :rule cong :premises (@p214 @p213) :args ((= (_ @t18 @t75) @t91))) % 0.38/0.61 (step @p216 :rule symm :premises (@p215)) % 0.38/0.61 (step @p217 :rule refl :args (@t42)) % 0.38/0.61 (step @p218 :rule eq_resolve :premises (@p217 @p216)) % 0.38/0.61 (step @p219 :rule ho_cong :premises (@p140 @p92)) % 0.38/0.61 (step @p220 :rule trans :premises (@p219 @p218)) % 0.38/0.61 (step @p221 :rule refl :args ((_ @t7 @t20 @t1))) % 0.38/0.61 (step @p222 :rule cong :premises (@p115 @p60) :args (@t92)) % 0.38/0.61 (step @p223 :rule trans :premises (@p222 @p221)) % 0.38/0.61 (step @p224 :rule ho_cong :premises (@p64 @p115)) % 0.38/0.61 (step @p225 :rule ho_cong :premises (@p224 @p60)) % 0.38/0.61 (step @p226 :rule cong :premises (@p225 @p223) :args ((= (_ (_ @t7 @t66) @t1) @t92))) % 0.38/0.61 (step @p227 :rule symm :premises (@p226)) % 0.38/0.61 (step @p228 :rule refl :args (@t43)) % 0.38/0.61 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.38/0.61 (step @p230 :rule ho_cong :premises (@p64 @p132)) % 0.38/0.61 (step @p231 :rule ho_cong :premises (@p230 @p60)) % 0.38/0.61 (step @p232 :rule trans :premises (@p231 @p229)) % 0.38/0.61 (step @p233 :rule cong :premises (@p232 @p220) :args (@t44)) % 0.38/0.61 (step @p234 :rule cong :premises (@p233) :args (@t45)) % 0.38/0.61 (step @p235 :rule refl :args ((_ @t4 @t3 @t24))) % 0.38/0.61 (step @p236 :rule cong :premises (@p80 @p137) :args (@t95)) % 0.38/0.61 (step @p237 :rule trans :premises (@p236 @p235)) % 0.38/0.61 (step @p238 :rule ho_cong :premises (@p83 @p137)) % 0.38/0.61 (step @p239 :rule cong :premises (@p238 @p237) :args ((= (_ @t5 @t68) @t95))) % 0.38/0.61 (step @p240 :rule symm :premises (@p239)) % 0.38/0.61 (step @p241 :rule refl :args (@t46)) % 0.38/0.61 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 0.38/0.61 (step @p243 :rule ho_cong :premises (@p83 @p149)) % 0.38/0.61 (step @p244 :rule trans :premises (@p243 @p242)) % 0.38/0.61 (step @p245 :rule refl :args ((_ @t4 @t6 @t1))) % 0.38/0.61 (step @p246 :rule cong :premises (@p61 @p60) :args (@t96)) % 0.38/0.61 (step @p247 :rule trans :premises (@p246 @p245)) % 0.38/0.61 (step @p248 :rule ho_cong :premises (@p118 @p61)) % 0.38/0.61 (step @p249 :rule ho_cong :premises (@p248 @p60)) % 0.38/0.61 (step @p250 :rule cong :premises (@p249 @p247) :args ((= (_ (_ @t4 @t73) @t1) @t96))) % 0.38/0.61 (step @p251 :rule symm :premises (@p250)) % 0.38/0.61 (step @p252 :rule refl :args (@t47)) % 0.38/0.61 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 0.38/0.61 (step @p254 :rule ho_cong :premises (@p118 @p74)) % 0.38/0.61 (step @p255 :rule ho_cong :premises (@p254 @p60)) % 0.38/0.61 (step @p256 :rule trans :premises (@p255 @p253)) % 0.38/0.61 (step @p257 :rule cong :premises (@p256 @p244) :args (@t48)) % 0.38/0.61 (step @p258 :rule cong :premises (@p257) :args (@t49)) % 0.38/0.61 (step @p259 :rule refl :args (@t99)) % 0.38/0.61 (step @p260 :rule refl :args (@t50)) % 0.38/0.61 (step @p261 :rule cong :premises (@p260 @p259) :args ((= @t50 @t99))) % 0.38/0.61 (step @p262 :rule symm :premises (@p261)) % 0.38/0.61 (step @p263 :rule eq_resolve :premises (@p260 @p262)) % 0.38/0.61 (step @p264 :rule cong :premises (@p80 @p263) :args (@t126)) % 0.38/0.61 (step @p265 :rule cong :premises (@p264) :args ((forall @t51 @t126))) % 0.38/0.61 (step @p266 :rule eq-symm :args (@t50 @t3)) % 0.38/0.61 (step @p267 :rule cong :premises (@p266) :args (@t52)) % 0.38/0.61 (step @p268 :rule trans :premises (@p267 @p265)) % 0.38/0.61 (step @p269 :rule refl :args (@t102)) % 0.38/0.61 (step @p270 :rule refl :args (@t53)) % 0.38/0.61 (step @p271 :rule cong :premises (@p270 @p269) :args ((= @t53 @t102))) % 0.38/0.61 (step @p272 :rule symm :premises (@p271)) % 0.38/0.61 (step @p273 :rule eq_resolve :premises (@p270 @p272)) % 0.38/0.61 (step @p274 :rule cong :premises (@p80 @p273) :args (@t127)) % 0.38/0.61 (step @p275 :rule cong :premises (@p274) :args ((forall @t51 @t127))) % 0.38/0.61 (step @p276 :rule eq-symm :args (@t53 @t3)) % 0.38/0.61 (step @p277 :rule cong :premises (@p276) :args (@t54)) % 0.38/0.61 (step @p278 :rule trans :premises (@p277 @p275)) % 0.38/0.61 (step @p279 :rule nary_cong :premises (@p278 @p268 @p258 @p234 @p210 @p203 @p196 @p181 @p165 @p153) :args (@t55)) % 0.38/0.61 (step @p280 :rule cong :premises (@p279 @p112) :args (@t56)) % 0.38/0.61 (step @p281 :rule cong :premises (@p280) :args (@t58)) % 0.38/0.61 (step @p282 :rule trans :premises (@p281 @p58)) % 0.38/0.61 (step @p283 :rule cong :premises (@p282) :args (@t59)) % 0.38/0.61 (step @p284 :rule eq_resolve :premises (@p1 @p283)) % 0.38/0.61 (step @p285 :rule skolemize :premises (@p284)) % 0.38/0.61 (step @p286 :rule bool-double-not-elim :args (@t133)) % 0.38/0.61 (step @p287 :rule refl :args (@t146)) % 0.38/0.61 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t146 (not @t145)))) % 0.38/0.61 (step @p289 :rule cnf_or_neg :args (@t146 8)) % 0.38/0.61 (step @p290 :rule eq_resolve :premises (@p289 @p288)) % 0.38/0.61 (step @p291 :rule reordering :premises (@p290) :args ((or @t133 @t146))) % 0.38/0.61 (step @p292 :rule chain_m_resolution :premises (@p291 @p285) :args (@t133 @t147 @t148)) % 0.38/0.61 (step @p293 :rule cnf_or_neg :args (@t146 11)) % 0.38/0.61 (step @p294 :rule chain_m_resolution :premises (@p293 @p285) :args ((not @t139) @t147 @t148)) % 0.38/0.61 (step @p295 :rule false_intro :premises (@p294)) % 0.38/0.61 (step @p296 :rule bool-double-not-elim :args (@t141)) % 0.38/0.61 (step @p297 :rule nary_cong :premises (@p287 @p296) :args ((or @t146 (not @t142)))) % 0.38/0.61 (step @p298 :rule cnf_or_neg :args (@t146 10)) % 0.38/0.61 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 0.38/0.61 (step @p300 :rule reordering :premises (@p299) :args ((or @t141 @t146))) % 0.38/0.61 (step @p301 :rule chain_m_resolution :premises (@p300 @p285) :args (@t141 @t147 @t148)) % 0.38/0.61 (step @p302 :rule symm :premises (@p301)) % 0.38/0.61 (step @p303 :rule refl :args (@t137)) % 0.38/0.61 (step @p304 :rule cong :premises (@p303 @p302) :args (@t149)) % 0.38/0.61 (step @p305 :rule refl :args (@t138)) % 0.38/0.61 (step @p306 :rule cong :premises (@p305 @p304) :args (@t150)) % 0.38/0.61 (step @p307 :rule trans :premises (@p306 @p295)) % 0.38/0.61 (step @p308 :rule false_elim :premises (@p307)) % 0.38/0.61 (assume-push @p315 @t133) % 0.38/0.61 (step @p310 :rule instantiate :premises (@p292) :args ((@list @t136 @t135 @t134))) % 0.38/0.61 (step-pop @p316 :rule scope :premises (@p310)) % 0.38/0.61 (step @p311 :rule process_scope :premises (@p316) :args (@t150)) % 0.38/0.61 (step @p313 :rule implies_elim :premises (@p311)) % 0.38/0.61 (step @p314 false :rule chain_m_resolution :premises (@p313 @p308 @p292) :args (false (@list true false) (@list @t150 @t133))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------