%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV000^5 : 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 : 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 0.41s 0.62s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEV000^5 : 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 % 0.18/0.35 % Computer : n010.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:06:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.41/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.62 % SZS status Theorem % 0.41/0.62 % SZS output start Proof % 0.41/0.62 ( % 0.41/0.62 (declare-sort tptp.a 0) % 0.41/0.62 (define @t1 () (@var "Xz" tptp.a)) % 0.41/0.62 (define @t2 () (@var "Xx" tptp.a)) % 0.41/0.62 (define @t3 () (@var "JOIN" (-> tptp.a tptp.a tptp.a))) % 0.41/0.62 (define @t4 () (_ @t3 @t2)) % 0.41/0.62 (define @t5 () (_ @t4 @t1)) % 0.41/0.62 (define @t6 () (@var "Xy" tptp.a)) % 0.41/0.62 (define @t7 () (_ @t4 @t6)) % 0.41/0.62 (define @t8 () (@var "MEET" (-> tptp.a tptp.a tptp.a))) % 0.41/0.62 (define @t9 () (_ @t8 @t7)) % 0.41/0.62 (define @t10 () (_ @t9 @t5)) % 0.41/0.62 (define @t11 () (_ @t8 @t6)) % 0.41/0.62 (define @t12 () (_ @t11 @t5)) % 0.41/0.62 (define @t13 () (_ @t4 @t12)) % 0.41/0.62 (define @t14 () (= @t13 @t10)) % 0.41/0.62 (define @t15 () (@list @t2 @t6 @t1)) % 0.41/0.62 (define @t16 () (forall @t15 @t14)) % 0.41/0.62 (define @t17 () (_ @t9 @t1)) % 0.41/0.62 (define @t18 () (_ @t11 @t1)) % 0.41/0.62 (define @t19 () (_ @t4 @t18)) % 0.41/0.62 (define @t20 () (= @t19 @t17)) % 0.41/0.62 (define @t21 () (=> (= @t5 @t1) @t20)) % 0.41/0.62 (define @t22 () (forall @t15 @t21)) % 0.41/0.62 (define @t23 () (= @t22 @t16)) % 0.41/0.62 (define @t24 () (_ @t9 @t6)) % 0.41/0.62 (define @t25 () (@list @t2 @t6)) % 0.41/0.62 (define @t26 () (forall @t25 (= @t24 @t6))) % 0.41/0.62 (define @t27 () (_ @t8 @t2)) % 0.41/0.62 (define @t28 () (_ @t27 @t6)) % 0.41/0.62 (define @t29 () (_ (_ @t3 @t28) @t6)) % 0.41/0.62 (define @t30 () (forall @t25 (= @t29 @t6))) % 0.41/0.62 (define @t31 () (_ @t11 @t2)) % 0.41/0.62 (define @t32 () (= @t28 @t31)) % 0.41/0.62 (define @t33 () (forall @t25 @t32)) % 0.41/0.62 (define @t34 () (_ @t3 @t6)) % 0.41/0.62 (define @t35 () (_ @t34 @t2)) % 0.41/0.62 (define @t36 () (= @t7 @t35)) % 0.41/0.62 (define @t37 () (forall @t25 @t36)) % 0.41/0.62 (define @t38 () (_ @t27 @t18)) % 0.41/0.62 (define @t39 () (_ (_ @t8 @t28) @t1)) % 0.41/0.62 (define @t40 () (= @t39 @t38)) % 0.41/0.62 (define @t41 () (forall @t15 @t40)) % 0.41/0.62 (define @t42 () (_ @t34 @t1)) % 0.41/0.62 (define @t43 () (_ @t4 @t42)) % 0.41/0.62 (define @t44 () (_ (_ @t3 @t7) @t1)) % 0.41/0.62 (define @t45 () (= @t44 @t43)) % 0.41/0.62 (define @t46 () (forall @t15 @t45)) % 0.41/0.62 (define @t47 () (_ @t27 @t2)) % 0.41/0.62 (define @t48 () (@list @t2)) % 0.41/0.62 (define @t49 () (forall @t48 (= @t47 @t2))) % 0.41/0.62 (define @t50 () (_ @t4 @t2)) % 0.41/0.62 (define @t51 () (forall @t48 (= @t50 @t2))) % 0.41/0.62 (define @t52 () (and @t51 @t49 @t46 @t41 @t37 @t33 @t30 @t26)) % 0.41/0.62 (define @t53 () (=> @t52 @t23)) % 0.41/0.62 (define @t54 () (@list @t3 @t8)) % 0.41/0.62 (define @t55 () (forall @t54 @t53)) % 0.41/0.62 (define @t56 () (not @t55)) % 0.41/0.62 (define @t57 () (_ @t3 @t2 @t1)) % 0.41/0.62 (define @t58 () (_ @t3 @t2 @t6)) % 0.41/0.62 (define @t59 () (_ @t8 @t58 @t57)) % 0.41/0.62 (define @t60 () (_ @t8 @t6 @t57)) % 0.41/0.62 (define @t61 () (_ @t3 @t2 @t60)) % 0.41/0.62 (define @t62 () (_ @t8 @t58 @t1)) % 0.41/0.62 (define @t63 () (_ @t8 @t6 @t1)) % 0.41/0.62 (define @t64 () (_ @t3 @t2 @t63)) % 0.41/0.62 (define @t65 () (= (forall @t15 (or (not (= @t1 @t57)) (= @t64 @t62))) (forall @t15 (= @t61 @t59)))) % 0.41/0.62 (define @t66 () (_ @t8 @t58 @t6)) % 0.41/0.62 (define @t67 () (forall @t25 (= @t6 @t66))) % 0.41/0.62 (define @t68 () (not @t67)) % 0.41/0.62 (define @t69 () (_ @t8 @t2 @t6)) % 0.41/0.62 (define @t70 () (_ @t3 @t69 @t6)) % 0.41/0.62 (define @t71 () (forall @t25 (= @t6 @t70))) % 0.41/0.62 (define @t72 () (not @t71)) % 0.41/0.62 (define @t73 () (_ @t8 @t6 @t2)) % 0.41/0.62 (define @t74 () (forall @t25 (= @t69 @t73))) % 0.41/0.62 (define @t75 () (not @t74)) % 0.41/0.62 (define @t76 () (_ @t3 @t6 @t2)) % 0.41/0.62 (define @t77 () (forall @t25 (= @t58 @t76))) % 0.41/0.62 (define @t78 () (not @t77)) % 0.41/0.62 (define @t79 () (_ @t8 @t2 @t63)) % 0.41/0.62 (define @t80 () (_ @t8 @t69 @t1)) % 0.41/0.62 (define @t81 () (forall @t15 (= @t80 @t79))) % 0.41/0.62 (define @t82 () (not @t81)) % 0.41/0.62 (define @t83 () (_ @t3 @t6 @t1)) % 0.41/0.62 (define @t84 () (_ @t3 @t2 @t83)) % 0.41/0.62 (define @t85 () (_ @t3 @t58 @t1)) % 0.41/0.62 (define @t86 () (forall @t15 (= @t85 @t84))) % 0.41/0.62 (define @t87 () (not @t86)) % 0.41/0.62 (define @t88 () (_ @t8 @t2 @t2)) % 0.41/0.62 (define @t89 () (forall @t48 (= @t2 @t88))) % 0.41/0.62 (define @t90 () (not @t89)) % 0.41/0.62 (define @t91 () (_ @t3 @t2 @t2)) % 0.41/0.62 (define @t92 () (forall @t48 (= @t2 @t91))) % 0.41/0.62 (define @t93 () (not @t92)) % 0.41/0.62 (define @t94 () (or @t93 @t90 @t87 @t82 @t78 @t75 @t72 @t68 @t65)) % 0.41/0.62 (define @t95 () (or @t93 @t90 @t87 @t82 @t78 @t75 @t72 @t68)) % 0.41/0.62 (define @t96 () (and @t92 @t89 @t86 @t81 @t77 @t74 @t71 @t67)) % 0.41/0.62 (define @t97 () (_ @t8 @t58)) % 0.41/0.62 (define @t98 () (= @t1 @t5)) % 0.41/0.62 (define @t99 () (not @t98)) % 0.41/0.62 (define @t100 () (or @t99 @t20)) % 0.41/0.62 (define @t101 () (= @t6 @t24)) % 0.41/0.62 (define @t102 () (= @t6 @t29)) % 0.41/0.62 (define @t103 () (= @t2 @t47)) % 0.41/0.62 (define @t104 () (= @t2 @t50)) % 0.41/0.62 (define @t105 () (forall @t54 @t94)) % 0.41/0.62 (define @t106 () (@quantifiers_skolemize @t105 0)) % 0.41/0.62 (define @t107 () (_ @t106 @t2 @t1)) % 0.41/0.62 (define @t108 () (_ @t106 @t2 @t6)) % 0.41/0.62 (define @t109 () (@quantifiers_skolemize @t105 1)) % 0.41/0.62 (define @t110 () (forall @t15 (= (_ @t106 @t2 (_ @t109 @t6 @t107)) (_ @t109 @t108 @t107)))) % 0.41/0.62 (define @t111 () (_ @t109 @t6 @t1)) % 0.41/0.62 (define @t112 () (forall @t15 (or (not (= @t1 @t107)) (= (_ @t106 @t2 @t111) (_ @t109 @t108 @t1))))) % 0.41/0.62 (define @t113 () (= @t112 @t110)) % 0.41/0.62 (define @t114 () (_ @t109 @t2 @t6)) % 0.41/0.62 (define @t115 () (forall @t15 (= (_ @t106 @t108 @t1) (_ @t106 @t2 (_ @t106 @t6 @t1))))) % 0.41/0.62 (define @t116 () (not @t115)) % 0.41/0.62 (define @t117 () (forall @t48 (= @t2 (_ @t106 @t2 @t2)))) % 0.41/0.62 (define @t118 () (not @t117)) % 0.41/0.62 (define @t119 () (or @t118 (not (forall @t48 (= @t2 (_ @t109 @t2 @t2)))) @t116 (not (forall @t15 (= (_ @t109 @t114 @t1) (_ @t109 @t2 @t111)))) (not (forall @t25 (= @t108 (_ @t106 @t6 @t2)))) (not (forall @t25 (= @t114 (_ @t109 @t6 @t2)))) (not (forall @t25 (= @t6 (_ @t106 @t114 @t6)))) (not (forall @t25 (= @t6 (_ @t109 @t108 @t6)))) @t113)) % 0.41/0.62 (define @t120 () (@list true)) % 0.41/0.62 (define @t121 () (@list @t119)) % 0.41/0.62 (define @t122 () (@quantifiers_skolemize @t110 2)) % 0.41/0.62 (define @t123 () (@quantifiers_skolemize @t110 0)) % 0.41/0.62 (define @t124 () (_ @t106 @t123 @t122)) % 0.41/0.62 (define @t125 () (@quantifiers_skolemize @t110 1)) % 0.41/0.62 (define @t126 () (= (_ @t106 @t123 (_ @t109 @t125 @t124)) (_ @t109 (_ @t106 @t123 @t125) @t124))) % 0.41/0.62 (define @t127 () (= @t124 (_ @t106 @t123 @t124))) % 0.41/0.62 (define @t128 () (not @t127)) % 0.41/0.62 (define @t129 () (or @t128 @t126)) % 0.41/0.62 (define @t130 () (not @t126)) % 0.41/0.62 (define @t131 () (not @t110)) % 0.41/0.62 (define @t132 () (not @t112)) % 0.41/0.62 (define @t133 () (@quantifiers_skolemize @t112 2)) % 0.41/0.62 (define @t134 () (@quantifiers_skolemize @t112 1)) % 0.41/0.62 (define @t135 () (@quantifiers_skolemize @t112 0)) % 0.41/0.62 (define @t136 () (_ @t106 @t135 @t134)) % 0.41/0.62 (define @t137 () (= (_ @t106 @t135 (_ @t109 @t134 @t133)) (_ @t109 @t136 @t133))) % 0.41/0.62 (define @t138 () (_ @t106 @t135 @t133)) % 0.41/0.62 (define @t139 () (= @t133 @t138)) % 0.41/0.62 (define @t140 () (not @t139)) % 0.41/0.62 (define @t141 () (or @t140 @t137)) % 0.41/0.62 (define @t142 () (not @t141)) % 0.41/0.62 (define @t143 () (not @t137)) % 0.41/0.62 (define @t144 () (@list @t141)) % 0.41/0.62 (define @t145 () (_ @t109 @t136 @t138)) % 0.41/0.62 (define @t146 () (_ @t109 @t134 @t138)) % 0.41/0.62 (define @t147 () (_ @t106 @t135 @t146)) % 0.41/0.62 (define @t148 () (= @t147 @t145)) % 0.41/0.62 (define @t149 () (not @t148)) % 0.41/0.62 (define @t150 () (and @t139 @t143)) % 0.41/0.62 (assume @p1 @t56) % 0.41/0.62 (assume @p2 true) % 0.41/0.62 (step @p3 :rule aci_norm :args ((= (or @t95 @t65) @t94))) % 0.41/0.62 (step @p4 :rule refl :args (@t65)) % 0.41/0.62 (step @p5 :rule aci_norm :args ((= (or @t93 (or @t90 (or @t87 (or @t82 (or @t78 (or @t75 (or @t72 @t68))))))) @t95))) % 0.41/0.62 (step @p6 :rule bool-and-de-morgan :args (@t71 @t67 true)) % 0.41/0.62 (step @p7 :rule refl :args (@t75)) % 0.41/0.62 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or @t75 (not (and @t71 @t67))))) % 0.41/0.62 (step @p9 :rule bool-and-de-morgan :args (@t74 @t71 (and @t67))) % 0.41/0.62 (step @p10 :rule trans :premises (@p9 @p8)) % 0.41/0.62 (step @p11 :rule refl :args (@t78)) % 0.41/0.62 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t78 (not (and @t74 @t71 @t67))))) % 0.41/0.62 (step @p13 :rule bool-and-de-morgan :args (@t77 @t74 (and @t71 @t67))) % 0.41/0.62 (step @p14 :rule trans :premises (@p13 @p12)) % 0.41/0.62 (step @p15 :rule refl :args (@t82)) % 0.41/0.62 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t82 (not (and @t77 @t74 @t71 @t67))))) % 0.41/0.62 (step @p17 :rule bool-and-de-morgan :args (@t81 @t77 (and @t74 @t71 @t67))) % 0.41/0.62 (step @p18 :rule trans :premises (@p17 @p16)) % 0.41/0.62 (step @p19 :rule refl :args (@t87)) % 0.41/0.62 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t87 (not (and @t81 @t77 @t74 @t71 @t67))))) % 0.41/0.62 (step @p21 :rule bool-and-de-morgan :args (@t86 @t81 (and @t77 @t74 @t71 @t67))) % 0.41/0.62 (step @p22 :rule trans :premises (@p21 @p20)) % 0.41/0.62 (step @p23 :rule refl :args (@t90)) % 0.41/0.62 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t90 (not (and @t86 @t81 @t77 @t74 @t71 @t67))))) % 0.41/0.62 (step @p25 :rule bool-and-de-morgan :args (@t89 @t86 (and @t81 @t77 @t74 @t71 @t67))) % 0.41/0.62 (step @p26 :rule trans :premises (@p25 @p24)) % 0.41/0.62 (step @p27 :rule refl :args (@t93)) % 0.41/0.62 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t93 (not (and @t89 @t86 @t81 @t77 @t74 @t71 @t67))))) % 0.41/0.62 (step @p29 :rule bool-and-de-morgan :args (@t92 @t89 (and @t86 @t81 @t77 @t74 @t71 @t67))) % 0.41/0.62 (step @p30 :rule trans :premises (@p29 @p28)) % 0.41/0.62 (step @p31 :rule trans :premises (@p30 @p5)) % 0.41/0.62 (step @p32 :rule nary_cong :premises (@p31 @p4) :args ((or (not @t96) @t65))) % 0.41/0.62 (step @p33 :rule trans :premises (@p32 @p3)) % 0.41/0.62 (step @p34 :rule bool-impl-elim :args (@t96 @t65)) % 0.41/0.62 (step @p35 :rule trans :premises (@p34 @p33)) % 0.41/0.62 (step @p36 :rule cong :premises (@p35) :args ((forall @t54 (=> @t96 @t65)))) % 0.41/0.62 (step @p37 :rule refl :args ((_ @t8 @t7 @t5))) % 0.41/0.62 (step @p38 :rule refl :args (@t57)) % 0.41/0.62 (step @p39 :rule refl :args (@t58)) % 0.41/0.62 (step @p40 :rule cong :premises (@p39 @p38) :args (@t59)) % 0.41/0.62 (step @p41 :rule trans :premises (@p40 @p37)) % 0.41/0.62 (step @p42 :rule refl :args (@t8)) % 0.41/0.62 (step @p43 :rule ho_cong :premises (@p42 @p39)) % 0.41/0.62 (step @p44 :rule ho_cong :premises (@p43 @p38)) % 0.41/0.62 (step @p45 :rule cong :premises (@p44 @p41) :args ((= (_ @t97 @t57) @t59))) % 0.41/0.62 (step @p46 :rule symm :premises (@p45)) % 0.41/0.62 (step @p47 :rule refl :args (@t10)) % 0.41/0.62 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.41/0.62 (step @p49 :rule refl :args (@t5)) % 0.41/0.62 (step @p50 :rule cong :premises (@p49 @p38) :args ((= @t5 @t57))) % 0.41/0.62 (step @p51 :rule symm :premises (@p50)) % 0.41/0.62 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.41/0.62 (step @p53 :rule refl :args (@t7)) % 0.41/0.62 (step @p54 :rule cong :premises (@p53 @p39) :args ((= @t7 @t58))) % 0.41/0.62 (step @p55 :rule symm :premises (@p54)) % 0.41/0.62 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.41/0.62 (step @p57 :rule ho_cong :premises (@p42 @p56)) % 0.41/0.62 (step @p58 :rule ho_cong :premises (@p57 @p52)) % 0.41/0.62 (step @p59 :rule trans :premises (@p58 @p48)) % 0.41/0.62 (step @p60 :rule refl :args ((_ @t3 @t2 @t12))) % 0.41/0.62 (step @p61 :rule refl :args ((_ @t8 @t6 @t5))) % 0.41/0.62 (step @p62 :rule refl :args (@t6)) % 0.41/0.62 (step @p63 :rule cong :premises (@p62 @p38) :args (@t60)) % 0.41/0.62 (step @p64 :rule trans :premises (@p63 @p61)) % 0.41/0.62 (step @p65 :rule refl :args (@t2)) % 0.41/0.62 (step @p66 :rule cong :premises (@p65 @p64) :args (@t61)) % 0.41/0.62 (step @p67 :rule trans :premises (@p66 @p60)) % 0.41/0.62 (step @p68 :rule refl :args (@t4)) % 0.41/0.62 (step @p69 :rule ho_cong :premises (@p68 @p64)) % 0.41/0.62 (step @p70 :rule cong :premises (@p69 @p67) :args ((= (_ @t4 @t60) @t61))) % 0.41/0.62 (step @p71 :rule symm :premises (@p70)) % 0.41/0.62 (step @p72 :rule refl :args (@t13)) % 0.41/0.62 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.41/0.62 (step @p74 :rule refl :args (@t11)) % 0.41/0.62 (step @p75 :rule ho_cong :premises (@p74 @p38)) % 0.41/0.62 (step @p76 :rule cong :premises (@p75 @p64) :args ((= (_ @t11 @t57) @t60))) % 0.41/0.62 (step @p77 :rule symm :premises (@p76)) % 0.41/0.62 (step @p78 :rule refl :args (@t12)) % 0.41/0.62 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.41/0.62 (step @p80 :rule ho_cong :premises (@p74 @p52)) % 0.41/0.62 (step @p81 :rule trans :premises (@p80 @p79)) % 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:rule refl :args (@t63)) % 0.41/0.62 (step @p99 :rule cong :premises (@p65 @p98) :args (@t64)) % 0.41/0.62 (step @p100 :rule trans :premises (@p99 @p97)) % 0.41/0.62 (step @p101 :rule ho_cong :premises (@p68 @p98)) % 0.41/0.62 (step @p102 :rule cong :premises (@p101 @p100) :args ((= (_ @t4 @t63) @t64))) % 0.41/0.62 (step @p103 :rule symm :premises (@p102)) % 0.41/0.62 (step @p104 :rule refl :args (@t19)) % 0.41/0.62 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.41/0.62 (step @p106 :rule refl :args (@t18)) % 0.41/0.62 (step @p107 :rule cong :premises (@p106 @p98) :args ((= @t18 @t63))) % 0.41/0.62 (step @p108 :rule symm :premises (@p107)) % 0.41/0.62 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 0.41/0.62 (step @p110 :rule ho_cong :premises (@p68 @p109)) % 0.41/0.62 (step @p111 :rule trans :premises (@p110 @p105)) % 0.41/0.62 (step @p112 :rule cong :premises (@p111 @p96) :args (@t20)) % 0.41/0.62 (step @p113 :rule cong :premises (@p87 @p52) :args (@t98)) % 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@p321 :rule refl :args (@t140)) % 0.41/0.62 (step @p322 :rule nary_cong :premises (@p321 @p320 @p319) :args ((or @t140 (not @t143) @t149))) % 0.41/0.62 (assume-push @p363 @t139) % 0.41/0.62 (assume-push @p364 @t143) % 0.41/0.62 (assume-push @p365 @t139) % 0.41/0.62 (assume-push @p366 @t143) % 0.41/0.62 (step @p327 :rule false_intro :premises (@p364)) % 0.41/0.62 (step @p328 :rule symm :premises (@p363)) % 0.41/0.62 (step @p329 :rule refl :args (@t136)) % 0.41/0.62 (step @p330 :rule cong :premises (@p329 @p328) :args (@t145)) % 0.41/0.62 (step @p331 :rule refl :args (@t134)) % 0.41/0.62 (step @p332 :rule cong :premises (@p331 @p328) :args (@t146)) % 0.41/0.62 (step @p333 :rule refl :args (@t135)) % 0.41/0.62 (step @p334 :rule cong :premises (@p333 @p332) :args (@t147)) % 0.41/0.62 (step @p335 :rule cong :premises (@p334 @p330) :args (@t148)) % 0.41/0.62 (step @p336 :rule trans :premises (@p335 @p327)) % 0.41/0.62 (step @p337 :rule false_elim :premises (@p336)) % 0.41/0.62 (step-pop @p367 :rule scope :premises (@p337)) % 0.41/0.62 (step-pop @p368 :rule scope :premises (@p367)) % 0.41/0.62 (step @p338 :rule process_scope :premises (@p368) :args (@t149)) % 0.41/0.62 (step @p341 :rule and_intro :premises (@p363 @p364)) % 0.41/0.62 (step @p342 :rule modus_ponens :premises (@p341 @p338)) % 0.41/0.62 (step-pop @p369 :rule scope :premises (@p342)) % 0.41/0.62 (step-pop @p370 :rule scope :premises (@p369)) % 0.41/0.62 (step @p343 :rule process_scope :premises (@p370) :args (@t149)) % 0.41/0.62 (step @p346 :rule implies_elim :premises (@p343)) % 0.41/0.62 (step @p347 :rule cnf_and_neg :args (@t150)) % 0.41/0.62 (step @p348 :rule resolution :premises (@p347 @p346) :args (true @t150)) % 0.41/0.62 (step @p349 :rule eq_resolve :premises (@p348 @p322)) % 0.41/0.62 (step @p350 :rule chain_m_resolution :premises (@p349 @p318 @p311) :args (@t149 (@list false true) (@list @t139 @t137))) % 0.41/0.62 (assume-push @p371 @t110) % 0.41/0.62 (step @p352 :rule instantiate :premises (@p371) :args ((@list @t135 @t134 @t133))) % 0.41/0.62 (step-pop @p372 :rule scope :premises (@p352)) % 0.41/0.62 (step @p353 :rule process_scope :premises (@p372) :args (@t148)) % 0.41/0.62 (step @p355 :rule implies_elim :premises (@p353)) % 0.41/0.62 (step @p356 false :rule chain_m_resolution :premises (@p355 @p350 @p299) :args (false (@list true false) (@list @t148 @t110))) % 0.41/0.62 ) % 0.41/0.62 % SZS output end Proof % 0.41/0.62 % cvc5 exiting %------------------------------------------------------------------------------