%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV002^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:55:17 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 : SEV002^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 18:06:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----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 tptp.a 0) % 0.39/0.61 (define @t1 () (@var "Xz" tptp.a)) % 0.39/0.61 (define @t2 () (@var "Xx" tptp.a)) % 0.39/0.61 (define @t3 () (@var "JOIN" (-> tptp.a tptp.a tptp.a))) % 0.39/0.61 (define @t4 () (_ @t3 @t2)) % 0.39/0.61 (define @t5 () (_ @t4 @t1)) % 0.39/0.61 (define @t6 () (@var "Xy" tptp.a)) % 0.39/0.61 (define @t7 () (_ @t4 @t6)) % 0.39/0.61 (define @t8 () (@var "MEET" (-> tptp.a tptp.a tptp.a))) % 0.39/0.61 (define @t9 () (_ @t8 @t7)) % 0.39/0.61 (define @t10 () (_ @t9 @t5)) % 0.39/0.61 (define @t11 () (_ @t8 @t6)) % 0.39/0.61 (define @t12 () (_ @t11 @t5)) % 0.39/0.61 (define @t13 () (_ @t4 @t12)) % 0.39/0.61 (define @t14 () (@list @t2 @t6 @t1)) % 0.39/0.61 (define @t15 () (forall @t14 (= @t13 @t10))) % 0.39/0.61 (define @t16 () (_ @t8 @t2)) % 0.39/0.61 (define @t17 () (_ @t16 @t1)) % 0.39/0.61 (define @t18 () (_ @t16 @t6)) % 0.39/0.61 (define @t19 () (_ @t3 @t18)) % 0.39/0.61 (define @t20 () (_ @t19 @t17)) % 0.39/0.61 (define @t21 () (_ @t3 @t6)) % 0.39/0.61 (define @t22 () (_ @t21 @t1)) % 0.39/0.61 (define @t23 () (_ @t16 @t22)) % 0.39/0.61 (define @t24 () (= @t23 @t20)) % 0.39/0.61 (define @t25 () (forall @t14 @t24)) % 0.39/0.61 (define @t26 () (_ @t11 @t1)) % 0.39/0.61 (define @t27 () (_ @t4 @t26)) % 0.39/0.61 (define @t28 () (= @t27 @t10)) % 0.39/0.61 (define @t29 () (forall @t14 @t28)) % 0.39/0.61 (define @t30 () (_ @t9 @t6)) % 0.39/0.61 (define @t31 () (@list @t2 @t6)) % 0.39/0.61 (define @t32 () (forall @t31 (= @t30 @t6))) % 0.39/0.61 (define @t33 () (_ @t19 @t6)) % 0.39/0.61 (define @t34 () (forall @t31 (= @t33 @t6))) % 0.39/0.61 (define @t35 () (_ @t11 @t2)) % 0.39/0.61 (define @t36 () (= @t18 @t35)) % 0.39/0.61 (define @t37 () (forall @t31 @t36)) % 0.39/0.61 (define @t38 () (_ @t21 @t2)) % 0.39/0.61 (define @t39 () (= @t7 @t38)) % 0.39/0.61 (define @t40 () (forall @t31 @t39)) % 0.39/0.61 (define @t41 () (_ @t16 @t26)) % 0.39/0.61 (define @t42 () (_ (_ @t8 @t18) @t1)) % 0.39/0.61 (define @t43 () (= @t42 @t41)) % 0.39/0.61 (define @t44 () (forall @t14 @t43)) % 0.39/0.61 (define @t45 () (_ @t4 @t22)) % 0.39/0.61 (define @t46 () (_ (_ @t3 @t7) @t1)) % 0.39/0.61 (define @t47 () (= @t46 @t45)) % 0.39/0.61 (define @t48 () (forall @t14 @t47)) % 0.39/0.61 (define @t49 () (_ @t16 @t2)) % 0.39/0.61 (define @t50 () (@list @t2)) % 0.39/0.61 (define @t51 () (forall @t50 (= @t49 @t2))) % 0.39/0.61 (define @t52 () (_ @t4 @t2)) % 0.39/0.61 (define @t53 () (forall @t50 (= @t52 @t2))) % 0.39/0.61 (define @t54 () (and @t53 @t51 @t48 @t44 @t40 @t37 @t34 @t32 @t29 @t25)) % 0.39/0.61 (define @t55 () (=> @t54 @t15)) % 0.39/0.61 (define @t56 () (@list @t3 @t8)) % 0.39/0.61 (define @t57 () (forall @t56 @t55)) % 0.39/0.61 (define @t58 () (not @t57)) % 0.39/0.61 (define @t59 () (@var "BOUND_VARIABLE_7565" tptp.a)) % 0.39/0.61 (define @t60 () (@var "BOUND_VARIABLE_7561" tptp.a)) % 0.39/0.61 (define @t61 () (_ @t3 @t60 @t59)) % 0.39/0.61 (define @t62 () (@var "BOUND_VARIABLE_7563" tptp.a)) % 0.39/0.61 (define @t63 () (= (_ @t8 (_ @t3 @t60 @t62) @t61) (_ @t3 @t60 (_ @t8 @t62 @t61)))) % 0.39/0.61 (define @t64 () (_ @t8 @t2 @t1)) % 0.39/0.61 (define @t65 () (_ @t8 @t2 @t6)) % 0.39/0.61 (define @t66 () (_ @t3 @t65 @t64)) % 0.39/0.61 (define @t67 () (_ @t3 @t6 @t1)) % 0.39/0.61 (define @t68 () (_ @t8 @t2 @t67)) % 0.39/0.61 (define @t69 () (forall @t14 (= @t68 @t66))) % 0.39/0.61 (define @t70 () (not @t69)) % 0.39/0.61 (define @t71 () (_ @t3 @t2 @t1)) % 0.39/0.61 (define @t72 () (_ @t3 @t2 @t6)) % 0.39/0.61 (define @t73 () (_ @t8 @t72 @t71)) % 0.39/0.61 (define @t74 () (_ @t8 @t6 @t1)) % 0.39/0.61 (define @t75 () (_ @t3 @t2 @t74)) % 0.39/0.61 (define @t76 () (forall @t14 (= @t75 @t73))) % 0.39/0.61 (define @t77 () (not @t76)) % 0.39/0.61 (define @t78 () (_ @t8 @t72 @t6)) % 0.39/0.61 (define @t79 () (forall @t31 (= @t6 @t78))) % 0.39/0.61 (define @t80 () (not @t79)) % 0.39/0.61 (define @t81 () (_ @t3 @t65 @t6)) % 0.39/0.61 (define @t82 () (forall @t31 (= @t6 @t81))) % 0.39/0.61 (define @t83 () (not @t82)) % 0.39/0.61 (define @t84 () (_ @t8 @t6 @t2)) % 0.39/0.61 (define @t85 () (forall @t31 (= @t65 @t84))) % 0.39/0.61 (define @t86 () (not @t85)) % 0.39/0.61 (define @t87 () (_ @t3 @t6 @t2)) % 0.39/0.61 (define @t88 () (forall @t31 (= @t72 @t87))) % 0.39/0.61 (define @t89 () (not @t88)) % 0.39/0.61 (define @t90 () (_ @t8 @t2 @t74)) % 0.39/0.61 (define @t91 () (_ @t8 @t65 @t1)) % 0.39/0.61 (define @t92 () (forall @t14 (= @t91 @t90))) % 0.39/0.61 (define @t93 () (not @t92)) % 0.39/0.61 (define @t94 () (_ @t3 @t2 @t67)) % 0.39/0.61 (define @t95 () (_ @t3 @t72 @t1)) % 0.39/0.61 (define @t96 () (forall @t14 (= @t95 @t94))) % 0.39/0.61 (define @t97 () (not @t96)) % 0.39/0.61 (define @t98 () (_ @t8 @t2 @t2)) % 0.39/0.61 (define @t99 () (forall @t50 (= @t2 @t98))) % 0.39/0.61 (define @t100 () (not @t99)) % 0.39/0.61 (define @t101 () (_ @t3 @t2 @t2)) % 0.39/0.61 (define @t102 () (forall @t50 (= @t2 @t101))) % 0.39/0.61 (define @t103 () (not @t102)) % 0.39/0.61 (define @t104 () (or @t103 @t100 @t97 @t93 @t89 @t86 @t83 @t80 @t77 @t70 @t63)) % 0.39/0.61 (define @t105 () (forall (@list @t3 @t8 @t60 @t62 @t59) @t104)) % 0.39/0.61 (define @t106 () (@list @t60 @t62 @t59)) % 0.39/0.61 (define @t107 () (forall @t106 @t104)) % 0.39/0.61 (define @t108 () (forall @t106 @t63)) % 0.39/0.61 (define @t109 () (or @t103 @t100 @t97 @t93 @t89 @t86 @t83 @t80 @t77 @t70 @t108)) % 0.39/0.61 (define @t110 () (_ @t8 @t6 @t71)) % 0.39/0.61 (define @t111 () (_ @t3 @t2 @t110)) % 0.39/0.61 (define @t112 () (forall @t14 (= @t73 @t111))) % 0.39/0.61 (define @t113 () (or @t103 @t100 @t97 @t93 @t89 @t86 @t83 @t80 @t77 @t70 @t112)) % 0.39/0.61 (define @t114 () (or @t103 @t100 @t97 @t93 @t89 @t86 @t83 @t80 @t77 @t70)) % 0.39/0.61 (define @t115 () (and @t102 @t99 @t96 @t92 @t88 @t85 @t82 @t79 @t76 @t69)) % 0.39/0.61 (define @t116 () (_ @t8 @t72)) % 0.39/0.61 (define @t117 () (= @t10 @t13)) % 0.39/0.61 (define @t118 () (_ @t3 @t65)) % 0.39/0.61 (define @t119 () (= @t6 @t30)) % 0.39/0.61 (define @t120 () (= @t6 @t33)) % 0.39/0.61 (define @t121 () (= @t2 @t49)) % 0.39/0.61 (define @t122 () (= @t2 @t52)) % 0.39/0.61 (define @t123 () (@quantifiers_skolemize @t105 4)) % 0.39/0.61 (define @t124 () (@quantifiers_skolemize @t105 2)) % 0.39/0.61 (define @t125 () (@quantifiers_skolemize @t105 0)) % 0.39/0.61 (define @t126 () (_ @t125 @t124 @t123)) % 0.39/0.61 (define @t127 () (@quantifiers_skolemize @t105 3)) % 0.39/0.61 (define @t128 () (@quantifiers_skolemize @t105 1)) % 0.39/0.61 (define @t129 () (_ @t128 @t127 @t126)) % 0.39/0.61 (define @t130 () (_ @t125 @t124 @t127)) % 0.39/0.61 (define @t131 () (_ @t128 @t130 @t126)) % 0.39/0.61 (define @t132 () (= @t131 (_ @t125 @t124 @t129))) % 0.39/0.61 (define @t133 () (_ @t128 @t2 @t6)) % 0.39/0.61 (define @t134 () (_ @t125 @t6 @t1)) % 0.39/0.61 (define @t135 () (forall @t14 (= (_ @t128 @t2 @t134) (_ @t125 @t133 (_ @t128 @t2 @t1))))) % 0.39/0.61 (define @t136 () (not @t135)) % 0.39/0.61 (define @t137 () (_ @t125 @t2 @t6)) % 0.39/0.61 (define @t138 () (_ @t128 @t6 @t1)) % 0.39/0.61 (define @t139 () (forall @t31 (= @t6 (_ @t128 @t137 @t6)))) % 0.39/0.61 (define @t140 () (not @t139)) % 0.39/0.61 (define @t141 () (forall @t31 (= @t133 (_ @t128 @t6 @t2)))) % 0.39/0.61 (define @t142 () (not @t141)) % 0.39/0.61 (define @t143 () (forall @t31 (= @t137 (_ @t125 @t6 @t2)))) % 0.39/0.61 (define @t144 () (not @t143)) % 0.39/0.61 (define @t145 () (or (not (forall @t50 (= @t2 (_ @t125 @t2 @t2)))) (not (forall @t50 (= @t2 (_ @t128 @t2 @t2)))) (not (forall @t14 (= (_ @t125 @t137 @t1) (_ @t125 @t2 @t134)))) (not (forall @t14 (= (_ @t128 @t133 @t1) (_ @t128 @t2 @t138)))) @t144 @t142 (not (forall @t31 (= @t6 (_ @t125 @t133 @t6)))) @t140 (not (forall @t14 (= (_ @t125 @t2 @t138) (_ @t128 @t137 (_ @t125 @t2 @t1))))) @t136 @t132)) % 0.39/0.61 (define @t146 () (not @t132)) % 0.39/0.61 (define @t147 () (@list true)) % 0.39/0.61 (define @t148 () (@list @t145)) % 0.39/0.61 (define @t149 () (_ @t128 @t126 @t127)) % 0.39/0.61 (define @t150 () (_ @t128 @t126 @t124)) % 0.39/0.61 (define @t151 () (_ @t125 @t150 @t149)) % 0.39/0.61 (define @t152 () (_ @t128 @t126 @t130)) % 0.39/0.61 (define @t153 () (= @t152 @t151)) % 0.39/0.61 (define @t154 () (not @t153)) % 0.39/0.61 (define @t155 () (_ @t125 @t123 @t124)) % 0.39/0.61 (define @t156 () (= @t124 (_ @t128 @t155 @t124))) % 0.39/0.61 (define @t157 () (not @t156)) % 0.39/0.61 (define @t158 () (_ @t125 @t127 @t124)) % 0.39/0.61 (define @t159 () (= @t124 (_ @t128 @t158 @t124))) % 0.39/0.61 (define @t160 () (not @t159)) % 0.39/0.61 (define @t161 () (= @t131 @t152)) % 0.39/0.61 (define @t162 () (not @t161)) % 0.39/0.61 (define @t163 () (= @t129 @t149)) % 0.39/0.61 (define @t164 () (not @t163)) % 0.39/0.61 (define @t165 () (= @t126 @t155)) % 0.39/0.61 (define @t166 () (not @t165)) % 0.39/0.61 (define @t167 () (= @t130 @t158)) % 0.39/0.61 (define @t168 () (not @t167)) % 0.39/0.61 (define @t169 () (and @t146 @t167 @t165 @t163 @t161 @t159 @t156)) % 0.39/0.61 (assume @p1 @t58) % 0.39/0.61 (assume @p2 true) % 0.39/0.61 (step @p3 :rule quant-merge-prenex :args ((= (forall @t56 @t107) @t105))) % 0.39/0.61 (step @p4 :rule alpha_equiv :args (@t108 (@list @t60 @t62 @t59) (@list @t2 @t6 @t1))) % 0.39/0.61 (step @p5 :rule refl :args (@t70)) % 0.39/0.61 (step @p6 :rule refl :args (@t77)) % 0.39/0.61 (step @p7 :rule refl :args (@t80)) % 0.39/0.61 (step @p8 :rule refl :args (@t83)) % 0.39/0.61 (step @p9 :rule refl :args (@t86)) % 0.39/0.61 (step @p10 :rule refl :args (@t89)) % 0.39/0.61 (step @p11 :rule refl :args (@t93)) % 0.39/0.61 (step @p12 :rule refl :args (@t97)) % 0.39/0.61 (step @p13 :rule refl :args (@t100)) % 0.39/0.61 (step @p14 :rule refl :args (@t103)) % 0.39/0.61 (step @p15 :rule nary_cong :premises (@p14 @p13 @p12 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4) :args (@t109)) % 0.39/0.61 (step @p16 :rule quant-miniscope-or :args ((= @t107 @t109))) % 0.39/0.61 (step @p17 :rule trans :premises (@p16 @p15)) % 0.39/0.61 (step @p18 :rule symm :premises (@p17)) % 0.39/0.61 (step @p19 :rule cong :premises (@p18) :args ((forall @t56 @t113))) % 0.39/0.61 (step @p20 :rule trans :premises (@p19 @p3)) % 0.39/0.61 (step @p21 :rule aci_norm :args ((= (or @t114 @t112) @t113))) % 0.39/0.61 (step @p22 :rule refl :args (@t112)) % 0.39/0.61 (step @p23 :rule aci_norm :args ((= (or @t103 (or @t100 (or @t97 (or @t93 (or @t89 (or @t86 (or @t83 (or @t80 (or @t77 @t70))))))))) @t114))) % 0.39/0.61 (step @p24 :rule bool-and-de-morgan :args (@t76 @t69 true)) % 0.39/0.61 (step @p25 :rule nary_cong :premises (@p7 @p24) :args ((or @t80 (not (and @t76 @t69))))) % 0.39/0.61 (step @p26 :rule bool-and-de-morgan :args (@t79 @t76 (and @t69))) % 0.39/0.61 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.61 (step @p28 :rule nary_cong :premises (@p8 @p27) :args ((or @t83 (not (and @t79 @t76 @t69))))) % 0.39/0.61 (step @p29 :rule bool-and-de-morgan :args (@t82 @t79 (and @t76 @t69))) % 0.39/0.61 (step @p30 :rule trans :premises (@p29 @p28)) % 0.39/0.61 (step @p31 :rule nary_cong :premises (@p9 @p30) :args ((or @t86 (not (and @t82 @t79 @t76 @t69))))) % 0.39/0.61 (step @p32 :rule bool-and-de-morgan :args (@t85 @t82 (and @t79 @t76 @t69))) % 0.39/0.61 (step @p33 :rule trans :premises (@p32 @p31)) % 0.39/0.61 (step @p34 :rule nary_cong :premises (@p10 @p33) :args ((or @t89 (not (and @t85 @t82 @t79 @t76 @t69))))) % 0.39/0.61 (step @p35 :rule bool-and-de-morgan :args (@t88 @t85 (and @t82 @t79 @t76 @t69))) % 0.39/0.61 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.61 (step @p37 :rule nary_cong :premises (@p11 @p36) :args ((or @t93 (not (and @t88 @t85 @t82 @t79 @t76 @t69))))) % 0.39/0.61 (step @p38 :rule bool-and-de-morgan :args (@t92 @t88 (and @t85 @t82 @t79 @t76 @t69))) % 0.39/0.61 (step @p39 :rule trans :premises (@p38 @p37)) % 0.39/0.61 (step @p40 :rule nary_cong :premises (@p12 @p39) :args ((or @t97 (not (and @t92 @t88 @t85 @t82 @t79 @t76 @t69))))) % 0.39/0.61 (step @p41 :rule bool-and-de-morgan :args (@t96 @t92 (and @t88 @t85 @t82 @t79 @t76 @t69))) % 0.39/0.61 (step @p42 :rule trans :premises (@p41 @p40)) % 0.39/0.61 (step @p43 :rule nary_cong :premises (@p13 @p42) :args ((or @t100 (not (and @t96 @t92 @t88 @t85 @t82 @t79 @t76 @t69))))) % 0.39/0.61 (step @p44 :rule bool-and-de-morgan :args (@t99 @t96 (and @t92 @t88 @t85 @t82 @t79 @t76 @t69))) % 0.39/0.61 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.61 (step @p46 :rule nary_cong :premises (@p14 @p45) :args ((or @t103 (not (and @t99 @t96 @t92 @t88 @t85 @t82 @t79 @t76 @t69))))) % 0.39/0.61 (step @p47 :rule bool-and-de-morgan :args (@t102 @t99 (and @t96 @t92 @t88 @t85 @t82 @t79 @t76 @t69))) % 0.39/0.61 (step @p48 :rule trans :premises (@p47 @p46)) % 0.39/0.61 (step @p49 :rule trans :premises (@p48 @p23)) % 0.39/0.61 (step @p50 :rule nary_cong :premises (@p49 @p22) :args ((or (not @t115) @t112))) % 0.39/0.61 (step @p51 :rule trans :premises (@p50 @p21)) % 0.39/0.61 (step @p52 :rule bool-impl-elim :args (@t115 @t112)) % 0.39/0.61 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.61 (step @p54 :rule cong :premises (@p53) :args ((forall @t56 (=> @t115 @t112)))) % 0.39/0.61 (step @p55 :rule trans :premises (@p54 @p20)) % 0.39/0.61 (step @p56 :rule refl :args ((_ @t3 @t2 @t12))) % 0.39/0.61 (step @p57 :rule refl :args ((_ 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@p305 :rule bool-double-not-elim :args (@t139)) % 0.39/0.61 (step @p306 :rule nary_cong :premises (@p289 @p305) :args ((or @t145 (not @t140)))) % 0.39/0.61 (step @p307 :rule cnf_or_neg :args (@t145 7)) % 0.39/0.61 (step @p308 :rule eq_resolve :premises (@p307 @p306)) % 0.39/0.61 (step @p309 :rule reordering :premises (@p308) :args ((or @t139 @t145))) % 0.39/0.61 (step @p310 :rule chain_m_resolution :premises (@p309 @p285) :args (@t139 @t147 @t148)) % 0.39/0.61 (step @p311 :rule instantiate :premises (@p310) :args ((@list @t127 @t124))) % 0.39/0.61 (step @p312 :rule instantiate :premises (@p310) :args ((@list @t123 @t124))) % 0.39/0.61 (step @p313 :rule bool-double-not-elim :args (@t135)) % 0.39/0.61 (step @p314 :rule nary_cong :premises (@p289 @p313) :args ((or @t145 (not @t136)))) % 0.39/0.61 (step @p315 :rule cnf_or_neg :args (@t145 9)) % 0.39/0.61 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 0.39/0.61 (step @p317 :rule reordering :premises (@p316) :args ((or @t135 @t145))) % 0.39/0.61 (step @p318 :rule chain_m_resolution :premises (@p317 @p285) :args (@t135 @t147 @t148)) % 0.39/0.61 (step @p319 :rule instantiate :premises (@p318) :args ((@list @t126 @t124 @t127))) % 0.39/0.61 (step @p320 :rule refl :args (@t154)) % 0.39/0.61 (step @p321 :rule refl :args (@t157)) % 0.39/0.61 (step @p322 :rule refl :args (@t160)) % 0.39/0.61 (step @p323 :rule refl :args (@t162)) % 0.39/0.61 (step @p324 :rule refl :args (@t164)) % 0.39/0.61 (step @p325 :rule refl :args (@t166)) % 0.39/0.61 (step @p326 :rule refl :args (@t168)) % 0.39/0.61 (step @p327 :rule bool-double-not-elim :args (@t132)) % 0.39/0.61 (step @p328 :rule nary_cong :premises (@p327 @p326 @p325 @p324 @p323 @p322 @p321 @p320) :args ((or (not @t146) @t168 @t166 @t164 @t162 @t160 @t157 @t154))) % 0.39/0.61 (assume-push @p365 @t146) % 0.39/0.61 (assume-push @p366 @t167) % 0.39/0.61 (assume-push @p367 @t165) % 0.39/0.61 (assume-push @p368 @t163) % 0.39/0.61 (assume-push @p369 @t161) % 0.39/0.61 (assume-push @p370 @t159) % 0.39/0.61 (assume-push @p371 @t156) % 0.39/0.61 (step @p336 :rule false_intro :premises (@p287)) % 0.39/0.61 (step @p337 :rule symm :premises (@p303)) % 0.39/0.61 (step @p338 :rule symm :premises (@p311)) % 0.39/0.61 (step @p339 :rule refl :args (@t124)) % 0.39/0.61 (step @p340 :rule cong :premises (@p295 @p339) :args ((_ @t128 @t130 @t124))) % 0.39/0.61 (step @p341 :rule trans :premises (@p340 @p338)) % 0.39/0.61 (step @p342 :rule symm :premises (@p340)) % 0.39/0.61 (step @p343 :rule symm :premises (@p312)) % 0.39/0.61 (step @p344 :rule cong :premises (@p296 @p339) :args (@t150)) % 0.39/0.61 (step @p345 :rule trans :premises (@p344 @p343 @p311 @p342)) % 0.39/0.61 (step @p346 :rule trans :premises (@p345 @p341)) % 0.39/0.61 (step @p347 :rule cong :premises (@p346 @p337) :args (@t151)) % 0.39/0.61 (step @p348 :rule symm :premises (@p304)) % 0.39/0.61 (step @p349 :rule cong :premises (@p348 @p347) :args (@t153)) % 0.39/0.61 (step @p350 :rule trans :premises (@p349 @p336)) % 0.39/0.61 (step @p351 :rule false_elim :premises (@p350)) % 0.39/0.61 (step-pop @p372 :rule scope :premises (@p351)) % 0.39/0.61 (step-pop @p373 :rule scope :premises (@p372)) % 0.39/0.61 (step-pop @p374 :rule scope :premises (@p373)) % 0.39/0.61 (step-pop @p375 :rule scope :premises (@p374)) % 0.39/0.61 (step-pop @p376 :rule scope :premises (@p375)) % 0.39/0.61 (step-pop @p377 :rule scope :premises (@p376)) % 0.39/0.61 (step-pop @p378 :rule scope :premises (@p377)) % 0.39/0.61 (step @p352 :rule process_scope :premises (@p378) :args (@t154)) % 0.39/0.61 (step @p360 :rule implies_elim :premises (@p352)) % 0.39/0.61 (step @p361 :rule cnf_and_neg :args (@t169)) % 0.39/0.61 (step @p362 :rule resolution :premises (@p361 @p360) :args (true @t169)) % 0.39/0.61 (step @p363 :rule eq_resolve :premises (@p362 @p328)) % 0.39/0.61 (step @p364 false :rule chain_m_resolution :premises (@p363 @p319 @p312 @p311 @p304 @p303 @p296 @p295 @p287) :args (false (@list false false false false false false false true) (@list @t153 @t156 @t159 @t161 @t163 @t165 @t167 @t132))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------