%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU901^5 : 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 : n028.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 08:53:30 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU901^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 17:58:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort tptp.a 0) % 0.38/0.59 (declare-sort tptp.b 0) % 0.38/0.59 (declare-sort tptp.g 0) % 0.38/0.59 (define @t1 () (@var "Xx" tptp.g)) % 0.38/0.59 (define @t2 () (@var "Xh1" (-> tptp.g tptp.b))) % 0.38/0.59 (define @t3 () (_ @t2 @t1)) % 0.38/0.59 (define @t4 () (@var "Xh2" (-> tptp.b tptp.a))) % 0.38/0.59 (define @t5 () (_ @t4 @t3)) % 0.38/0.59 (define @t6 () (@var "Xf3" (-> tptp.a tptp.a))) % 0.38/0.59 (define @t7 () (_ @t6 @t5)) % 0.38/0.59 (define @t8 () (@var "Xf1" (-> tptp.g tptp.g))) % 0.38/0.59 (define @t9 () (_ @t8 @t1)) % 0.38/0.59 (define @t10 () (_ @t2 @t9)) % 0.38/0.59 (define @t11 () (_ @t4 @t10)) % 0.38/0.59 (define @t12 () (= @t11 @t7)) % 0.38/0.59 (define @t13 () (@var "Xs1" (-> tptp.g Bool))) % 0.38/0.59 (define @t14 () (_ @t13 @t1)) % 0.38/0.59 (define @t15 () (@list @t1)) % 0.38/0.59 (define @t16 () (forall @t15 (=> @t14 @t12))) % 0.38/0.59 (define @t17 () (@var "Xx" tptp.b)) % 0.38/0.59 (define @t18 () (_ @t4 @t17)) % 0.38/0.59 (define @t19 () (_ @t6 @t18)) % 0.38/0.59 (define @t20 () (@var "Xf2" (-> tptp.b tptp.b))) % 0.38/0.59 (define @t21 () (_ @t20 @t17)) % 0.38/0.59 (define @t22 () (_ @t4 @t21)) % 0.38/0.59 (define @t23 () (= @t22 @t19)) % 0.38/0.59 (define @t24 () (@var "Xs2" (-> tptp.b Bool))) % 0.38/0.59 (define @t25 () (_ @t24 @t17)) % 0.38/0.59 (define @t26 () (@list @t17)) % 0.38/0.59 (define @t27 () (forall @t26 (=> @t25 @t23))) % 0.38/0.59 (define @t28 () (@var "Xs3" (-> tptp.a Bool))) % 0.38/0.59 (define @t29 () (_ @t28 @t18)) % 0.38/0.59 (define @t30 () (forall @t26 (=> @t25 @t29))) % 0.38/0.59 (define @t31 () (@var "Xx" tptp.a)) % 0.38/0.59 (define @t32 () (_ @t6 @t31)) % 0.38/0.59 (define @t33 () (_ @t28 @t32)) % 0.38/0.59 (define @t34 () (_ @t28 @t31)) % 0.38/0.59 (define @t35 () (@list @t31)) % 0.38/0.59 (define @t36 () (forall @t35 (=> @t34 @t33))) % 0.38/0.59 (define @t37 () (_ @t24 @t21)) % 0.38/0.59 (define @t38 () (forall @t26 (=> @t25 @t37))) % 0.38/0.59 (define @t39 () (_ @t20 @t3)) % 0.38/0.59 (define @t40 () (= @t10 @t39)) % 0.38/0.59 (define @t41 () (forall @t15 (=> @t14 @t40))) % 0.38/0.59 (define @t42 () (_ @t24 @t3)) % 0.38/0.59 (define @t43 () (forall @t15 (=> @t14 @t42))) % 0.38/0.59 (define @t44 () (_ @t13 @t9)) % 0.38/0.59 (define @t45 () (forall @t15 (=> @t14 @t44))) % 0.38/0.59 (define @t46 () (and @t45 @t38 @t43 @t41 @t38 @t36 @t30 @t27)) % 0.38/0.59 (define @t47 () (=> @t46 @t16)) % 0.38/0.59 (define @t48 () (@list @t2 @t4 @t13 @t8 @t24 @t20 @t28 @t6)) % 0.38/0.59 (define @t49 () (forall @t48 @t47)) % 0.38/0.59 (define @t50 () (not @t49)) % 0.38/0.59 (define @t51 () (@var "BOUND_VARIABLE_7562" tptp.g)) % 0.38/0.59 (define @t52 () (= (_ @t4 (_ @t2 (_ @t8 @t51))) (_ @t6 (_ @t4 (_ @t2 @t51))))) % 0.38/0.59 (define @t53 () (not (_ @t13 @t51))) % 0.38/0.59 (define @t54 () (_ @t4 @t17)) % 0.38/0.59 (define @t55 () (_ @t6 @t54)) % 0.38/0.59 (define @t56 () (_ @t20 @t17)) % 0.38/0.59 (define @t57 () (_ @t4 @t56)) % 0.38/0.59 (define @t58 () (_ @t24 @t17)) % 0.38/0.59 (define @t59 () (not @t58)) % 0.38/0.59 (define @t60 () (forall @t26 (or @t59 (= @t57 @t55)))) % 0.38/0.59 (define @t61 () (not @t60)) % 0.38/0.59 (define @t62 () (_ @t28 @t54)) % 0.38/0.59 (define @t63 () (forall @t26 (or @t59 @t62))) % 0.38/0.59 (define @t64 () (not @t63)) % 0.38/0.59 (define @t65 () (_ @t6 @t31)) % 0.38/0.59 (define @t66 () (_ @t28 @t65)) % 0.38/0.59 (define @t67 () (_ @t28 @t31)) % 0.38/0.59 (define @t68 () (forall @t35 (or (not @t67) @t66))) % 0.38/0.59 (define @t69 () (not @t68)) % 0.38/0.59 (define @t70 () (_ @t2 @t1)) % 0.38/0.59 (define @t71 () (_ @t20 @t70)) % 0.38/0.59 (define @t72 () (_ @t8 @t1)) % 0.38/0.59 (define @t73 () (_ @t2 @t72)) % 0.38/0.59 (define @t74 () (_ @t13 @t1)) % 0.38/0.59 (define @t75 () (not @t74)) % 0.38/0.59 (define @t76 () (forall @t15 (or @t75 (= @t73 @t71)))) % 0.38/0.59 (define @t77 () (not @t76)) % 0.38/0.59 (define @t78 () (_ @t24 @t70)) % 0.38/0.59 (define @t79 () (forall @t15 (or @t75 @t78))) % 0.38/0.59 (define @t80 () (not @t79)) % 0.38/0.59 (define @t81 () (_ @t24 @t56)) % 0.38/0.59 (define @t82 () (forall @t26 (or @t59 @t81))) % 0.38/0.59 (define @t83 () (not @t82)) % 0.38/0.59 (define @t84 () (_ @t13 @t72)) % 0.38/0.59 (define @t85 () (forall @t15 (or @t75 @t84))) % 0.38/0.59 (define @t86 () (not @t85)) % 0.38/0.59 (define @t87 () (or @t86 @t83 @t80 @t77 @t69 @t64 @t61 @t53 @t52)) % 0.38/0.59 (define @t88 () (or @t53 @t52)) % 0.38/0.59 (define @t89 () (or @t86 @t83 @t80 @t77 @t69 @t64 @t61 @t88)) % 0.38/0.59 (define @t90 () (@list @t2 @t4 @t13 @t8 @t24 @t20 @t28 @t6 @t51)) % 0.38/0.59 (define @t91 () (forall @t90 @t89)) % 0.38/0.59 (define @t92 () (@list @t51)) % 0.38/0.59 (define @t93 () (forall @t92 @t89)) % 0.38/0.59 (define @t94 () (forall @t92 @t88)) % 0.38/0.59 (define @t95 () (or @t86 @t83 @t80 @t77 @t69 @t64 @t61 @t94)) % 0.38/0.59 (define @t96 () (_ @t4 @t70)) % 0.38/0.59 (define @t97 () (_ @t6 @t96)) % 0.38/0.59 (define @t98 () (_ @t4 @t73)) % 0.38/0.59 (define @t99 () (forall @t15 (or @t75 (= @t98 @t97)))) % 0.38/0.59 (define @t100 () (or @t86 @t83 @t80 @t77 @t69 @t64 @t61 @t99)) % 0.38/0.59 (define @t101 () (or @t86 @t83 @t80 @t77 @t69 @t64 @t61)) % 0.38/0.59 (define @t102 () (or @t86 @t83 @t80 @t77 @t83 @t69 @t64 @t61)) % 0.38/0.59 (define @t103 () (and @t85 @t82 @t79 @t76 @t82 @t68 @t63 @t60)) % 0.38/0.59 (define @t104 () (not @t14)) % 0.38/0.59 (define @t105 () (or @t104 @t12)) % 0.38/0.59 (define @t106 () (not @t25)) % 0.38/0.59 (define @t107 () (or @t106 @t23)) % 0.38/0.59 (define @t108 () (or @t106 @t29)) % 0.38/0.59 (define @t109 () (not @t34)) % 0.38/0.59 (define @t110 () (or @t109 @t33)) % 0.38/0.59 (define @t111 () (or @t106 @t37)) % 0.38/0.59 (define @t112 () (or @t104 @t40)) % 0.38/0.59 (define @t113 () (or @t104 @t42)) % 0.38/0.59 (define @t114 () (or @t104 @t44)) % 0.38/0.59 (define @t115 () (forall @t90 @t87)) % 0.38/0.59 (define @t116 () (@quantifiers_skolemize @t115 8)) % 0.38/0.59 (define @t117 () (@quantifiers_skolemize @t115 0)) % 0.38/0.59 (define @t118 () (_ @t117 @t116)) % 0.38/0.59 (define @t119 () (@quantifiers_skolemize @t115 1)) % 0.38/0.59 (define @t120 () (@quantifiers_skolemize @t115 7)) % 0.38/0.59 (define @t121 () (_ @t120 (_ @t119 @t118))) % 0.38/0.59 (define @t122 () (@quantifiers_skolemize @t115 3)) % 0.38/0.59 (define @t123 () (_ @t117 (_ @t122 @t116))) % 0.38/0.59 (define @t124 () (_ @t119 @t123)) % 0.38/0.59 (define @t125 () (= @t124 @t121)) % 0.38/0.59 (define @t126 () (@quantifiers_skolemize @t115 2)) % 0.38/0.59 (define @t127 () (_ @t126 @t116)) % 0.38/0.59 (define @t128 () (not @t127)) % 0.38/0.59 (define @t129 () (_ @t119 @t17)) % 0.38/0.59 (define @t130 () (@quantifiers_skolemize @t115 5)) % 0.38/0.59 (define @t131 () (_ @t130 @t17)) % 0.38/0.59 (define @t132 () (@quantifiers_skolemize @t115 4)) % 0.38/0.59 (define @t133 () (not (_ @t132 @t17))) % 0.38/0.59 (define @t134 () (forall @t26 (or @t133 (= (_ @t119 @t131) (_ @t120 @t129))))) % 0.38/0.59 (define @t135 () (not @t134)) % 0.38/0.59 (define @t136 () (@quantifiers_skolemize @t115 6)) % 0.38/0.59 (define @t137 () (_ @t117 @t1)) % 0.38/0.59 (define @t138 () (_ @t122 @t1)) % 0.38/0.59 (define @t139 () (not (_ @t126 @t1))) % 0.38/0.59 (define @t140 () (forall @t15 (or @t139 (= (_ @t117 @t138) (_ @t130 @t137))))) % 0.38/0.59 (define @t141 () (not @t140)) % 0.38/0.59 (define @t142 () (forall @t15 (or @t139 (_ @t132 @t137)))) % 0.38/0.59 (define @t143 () (not @t142)) % 0.38/0.59 (define @t144 () (or (not (forall @t15 (or @t139 (_ @t126 @t138)))) (not (forall @t26 (or @t133 (_ @t132 @t131)))) @t143 @t141 (not (forall @t35 (or (not (_ @t136 @t31)) (_ @t136 (_ @t120 @t31))))) (not (forall @t26 (or @t133 (_ @t136 @t129)))) @t135 @t128 @t125)) % 0.38/0.59 (define @t145 () (@list true)) % 0.38/0.59 (define @t146 () (@list @t144)) % 0.38/0.59 (define @t147 () (@list @t116)) % 0.38/0.59 (define @t148 () (_ @t130 @t118)) % 0.38/0.59 (define @t149 () (= @t123 @t148)) % 0.38/0.59 (define @t150 () (or @t128 @t149)) % 0.38/0.59 (define @t151 () (@list false false)) % 0.38/0.59 (define @t152 () (_ @t119 @t148)) % 0.38/0.59 (define @t153 () (_ @t132 @t118)) % 0.38/0.59 (define @t154 () (not @t153)) % 0.38/0.59 (define @t155 () (or @t154 (= @t152 @t121))) % 0.38/0.59 (define @t156 () (= @t121 @t152)) % 0.38/0.59 (define @t157 () (or @t154 @t156)) % 0.38/0.59 (define @t158 () (or @t128 @t153)) % 0.38/0.59 (define @t159 () (and @t149 @t156)) % 0.38/0.59 (assume @p1 @t50) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule aci_norm :args ((= @t89 @t87))) % 0.38/0.59 (step @p4 :rule cong :premises (@p3) :args (@t91)) % 0.38/0.59 (step @p5 :rule quant-merge-prenex :args ((= (forall @t48 @t93) @t91))) % 0.38/0.59 (step @p6 :rule alpha_equiv :args (@t94 (@list @t51) (@list @t1))) % 0.38/0.59 (step @p7 :rule refl :args (@t61)) % 0.38/0.59 (step @p8 :rule refl :args (@t64)) % 0.38/0.59 (step @p9 :rule refl :args (@t69)) % 0.38/0.59 (step @p10 :rule refl :args (@t77)) % 0.38/0.59 (step @p11 :rule refl :args (@t80)) % 0.38/0.59 (step @p12 :rule refl :args (@t83)) % 0.38/0.59 (step @p13 :rule refl :args (@t86)) % 0.38/0.59 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11 @p10 @p9 @p8 @p7 @p6) :args (@t95)) % 0.38/0.59 (step @p15 :rule quant-miniscope-or :args ((= @t93 @t95))) % 0.38/0.59 (step @p16 :rule trans :premises (@p15 @p14)) % 0.38/0.59 (step @p17 :rule symm :premises (@p16)) % 0.38/0.59 (step @p18 :rule cong :premises (@p17) :args ((forall @t48 @t100))) % 0.38/0.59 (step @p19 :rule trans :premises (@p18 @p5)) % 0.38/0.59 (step @p20 :rule trans :premises (@p19 @p4)) % 0.38/0.59 (step @p21 :rule aci_norm :args ((= (or @t101 @t99) @t100))) % 0.38/0.59 (step @p22 :rule refl :args (@t99)) % 0.38/0.59 (step @p23 :rule aci_norm :args ((= @t102 @t101))) % 0.38/0.59 (step @p24 :rule aci_norm :args ((= (or @t86 (or @t83 (or @t80 (or @t77 (or @t83 (or @t69 (or @t64 @t61))))))) @t102))) % 0.38/0.59 (step @p25 :rule bool-and-de-morgan :args (@t63 @t60 true)) % 0.38/0.59 (step @p26 :rule nary_cong :premises (@p9 @p25) :args ((or @t69 (not (and @t63 @t60))))) % 0.38/0.59 (step @p27 :rule bool-and-de-morgan :args (@t68 @t63 (and @t60))) % 0.38/0.59 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.59 (step @p29 :rule nary_cong :premises (@p12 @p28) :args ((or @t83 (not (and @t68 @t63 @t60))))) % 0.38/0.59 (step @p30 :rule bool-and-de-morgan :args (@t82 @t68 (and @t63 @t60))) % 0.38/0.59 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.59 (step @p32 :rule nary_cong :premises (@p10 @p31) :args ((or @t77 (not (and @t82 @t68 @t63 @t60))))) % 0.38/0.59 (step @p33 :rule bool-and-de-morgan :args (@t76 @t82 (and @t68 @t63 @t60))) % 0.38/0.59 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.59 (step @p35 :rule nary_cong :premises (@p11 @p34) :args ((or @t80 (not (and @t76 @t82 @t68 @t63 @t60))))) % 0.38/0.59 (step @p36 :rule bool-and-de-morgan :args (@t79 @t76 (and @t82 @t68 @t63 @t60))) % 0.38/0.59 (step @p37 :rule trans :premises (@p36 @p35)) % 0.38/0.59 (step @p38 :rule nary_cong :premises (@p12 @p37) :args ((or @t83 (not (and @t79 @t76 @t82 @t68 @t63 @t60))))) % 0.38/0.59 (step @p39 :rule bool-and-de-morgan :args (@t82 @t79 (and @t76 @t82 @t68 @t63 @t60))) % 0.38/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.59 (step @p41 :rule nary_cong :premises (@p13 @p40) :args ((or @t86 (not (and @t82 @t79 @t76 @t82 @t68 @t63 @t60))))) % 0.38/0.59 (step @p42 :rule bool-and-de-morgan :args (@t85 @t82 (and @t79 @t76 @t82 @t68 @t63 @t60))) % 0.38/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.38/0.59 (step @p44 :rule trans :premises (@p43 @p24)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p23)) % 0.38/0.59 (step @p46 :rule nary_cong :premises (@p45 @p22) :args ((or (not @t103) @t99))) % 0.38/0.59 (step @p47 :rule trans :premises (@p46 @p21)) % 0.38/0.59 (step @p48 :rule bool-impl-elim :args (@t103 @t99)) % 0.38/0.59 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.59 (step @p50 :rule cong :premises (@p49) :args ((forall @t48 (=> @t103 @t99)))) % 0.38/0.59 (step @p51 :rule trans :premises (@p50 @p20)) % 0.38/0.59 (step @p52 :rule refl :args ((_ @t6 @t5))) % 0.38/0.59 (step @p53 :rule refl :args ((_ @t4 @t3))) % 0.38/0.59 (step @p54 :rule refl :args (@t70)) % 0.38/0.59 (step @p55 :rule cong :premises (@p54) :args (@t96)) % 0.38/0.59 (step @p56 :rule trans :premises (@p55 @p53)) % 0.38/0.59 (step @p57 :rule cong :premises (@p56) :args (@t97)) % 0.38/0.59 (step @p58 :rule trans :premises (@p57 @p52)) % 0.38/0.59 (step @p59 :rule refl :args (@t6)) % 0.38/0.59 (step @p60 :rule ho_cong :premises (@p59 @p56)) % 0.38/0.59 (step @p61 :rule cong :premises (@p60 @p58) :args ((= (_ @t6 @t96) @t97))) % 0.38/0.59 (step @p62 :rule symm :premises (@p61)) % 0.38/0.59 (step @p63 :rule refl :args (@t7)) % 0.38/0.59 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.38/0.59 (step @p65 :rule refl :args (@t4)) % 0.38/0.59 (step @p66 :rule ho_cong :premises (@p65 @p54)) % 0.38/0.59 (step @p67 :rule cong :premises (@p66 @p56) :args ((= (_ @t4 @t70) @t96))) % 0.38/0.59 (step @p68 :rule symm :premises (@p67)) % 0.38/0.59 (step @p69 :rule refl :args (@t5)) % 0.38/0.59 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.38/0.59 (step @p71 :rule refl :args (@t3)) % 0.38/0.59 (step @p72 :rule cong :premises (@p71 @p54) :args ((= @t3 @t70))) % 0.38/0.59 (step @p73 :rule symm :premises (@p72)) % 0.38/0.59 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.38/0.59 (step @p75 :rule ho_cong :premises (@p65 @p74)) % 0.38/0.59 (step @p76 :rule trans :premises (@p75 @p70)) % 0.38/0.59 (step @p77 :rule ho_cong :premises (@p59 @p76)) % 0.38/0.59 (step @p78 :rule trans :premises (@p77 @p64)) % 0.38/0.59 (step @p79 :rule refl :args ((_ @t4 @t10))) % 0.38/0.59 (step @p80 :rule refl :args ((_ @t2 @t9))) % 0.38/0.59 (step @p81 :rule refl :args (@t72)) % 0.38/0.59 (step @p82 :rule cong :premises (@p81) :args (@t73)) % 0.38/0.59 (step @p83 :rule trans :premises (@p82 @p80)) % 0.38/0.59 (step @p84 :rule cong :premises (@p83) :args (@t98)) % 0.38/0.59 (step @p85 :rule trans :premises (@p84 @p79)) % 0.38/0.59 (step @p86 :rule ho_cong :premises (@p65 @p83)) % 0.38/0.59 (step @p87 :rule cong :premises (@p86 @p85) :args ((= (_ @t4 @t73) @t98))) % 0.38/0.59 (step @p88 :rule symm :premises (@p87)) % 0.38/0.59 (step @p89 :rule refl :args (@t11)) % 0.38/0.59 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.38/0.59 (step @p91 :rule refl :args (@t2)) % 0.38/0.59 (step @p92 :rule ho_cong :premises (@p91 @p81)) % 0.38/0.59 (step @p93 :rule cong :premises (@p92 @p83) :args ((= (_ @t2 @t72) @t73))) % 0.38/0.59 (step @p94 :rule symm :premises (@p93)) % 0.38/0.59 (step @p95 :rule refl :args (@t10)) % 0.38/0.59 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.38/0.59 (step @p97 :rule refl :args (@t9)) % 0.38/0.59 (step @p98 :rule cong :premises (@p97 @p81) :args ((= @t9 @t72))) % 0.38/0.59 (step @p99 :rule symm :premises (@p98)) % 0.38/0.59 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.38/0.59 (step @p101 :rule ho_cong :premises (@p91 @p100)) % 0.38/0.59 (step @p102 :rule trans :premises (@p101 @p96)) % 0.38/0.59 (step @p103 :rule ho_cong :premises (@p65 @p102)) % 0.38/0.59 (step @p104 :rule trans :premises (@p103 @p90)) % 0.38/0.59 (step @p105 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:args (@t114)) % 0.38/0.59 (step @p261 :rule cong :premises (@p260) :args ((forall @t15 @t114))) % 0.38/0.59 (step @p262 :rule bool-impl-elim :args (@t14 @t44)) % 0.38/0.59 (step @p263 :rule cong :premises (@p262) :args (@t45)) % 0.38/0.59 (step @p264 :rule trans :premises (@p263 @p261)) % 0.38/0.59 (step @p265 :rule nary_cong :premises (@p264 @p216 @p248 @p233 @p216 @p200 @p174 @p158) :args (@t46)) % 0.38/0.59 (step @p266 :rule cong :premises (@p265 @p116) :args (@t47)) % 0.38/0.59 (step @p267 :rule cong :premises (@p266) :args (@t49)) % 0.38/0.59 (step @p268 :rule trans :premises (@p267 @p51)) % 0.38/0.59 (step @p269 :rule cong :premises (@p268) :args (@t50)) % 0.38/0.59 (step @p270 :rule eq_resolve :premises (@p1 @p269)) % 0.38/0.59 (step @p271 :rule skolemize :premises (@p270)) % 0.38/0.59 (step @p272 :rule cnf_or_neg :args (@t144 8)) % 0.38/0.59 (step @p273 :rule chain_m_resolution :premises (@p272 @p271) :args ((not @t125) @t145 @t146)) % 0.38/0.59 (step @p274 :rule 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(@p286 @p271) :args (@t127 @t145 @t146)) % 0.38/0.59 (step @p288 :rule cnf_or_pos :args (@t150)) % 0.38/0.59 (step @p289 :rule reordering :premises (@p288) :args ((or @t128 @t149 (not @t150)))) % 0.38/0.59 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p281) :args (@t149 @t151 (@list @t127 @t150))) % 0.38/0.59 (step @p291 :rule bool-double-not-elim :args (@t134)) % 0.38/0.59 (step @p292 :rule nary_cong :premises (@p275 @p291) :args ((or @t144 (not @t135)))) % 0.38/0.59 (step @p293 :rule cnf_or_neg :args (@t144 6)) % 0.38/0.59 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 0.38/0.59 (step @p295 :rule reordering :premises (@p294) :args ((or @t134 @t144))) % 0.38/0.59 (step @p296 :rule chain_m_resolution :premises (@p295 @p271) :args (@t134 @t145 @t146)) % 0.38/0.59 (step @p297 :rule eq-symm :args (@t152 @t121)) % 0.38/0.59 (step @p298 :rule refl :args (@t154)) % 0.38/0.59 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t155)) % 0.38/0.59 (step @p300 :rule refl :args (@t134)) % 0.38/0.59 (step @p301 :rule cong :premises (@p300 @p299) :args ((=> @t134 @t155))) % 0.38/0.59 (assume-push @p335 @t134) % 0.38/0.59 (step @p303 :rule instantiate :premises (@p296) :args ((@list @t118))) % 0.38/0.59 (step-pop @p336 :rule scope :premises (@p303)) % 0.38/0.59 (step @p304 :rule process_scope :premises (@p336) :args (@t155)) % 0.38/0.59 (step @p306 :rule eq_resolve :premises (@p304 @p301)) % 0.38/0.59 (step @p307 :rule implies_elim :premises (@p306)) % 0.38/0.59 (step @p308 :rule chain_m_resolution :premises (@p307 @p296) :args (@t157 (@list false) (@list @t134))) % 0.38/0.59 (step @p309 :rule bool-double-not-elim :args (@t142)) % 0.38/0.59 (step @p310 :rule nary_cong :premises (@p275 @p309) :args ((or @t144 (not @t143)))) % 0.38/0.59 (step @p311 :rule cnf_or_neg :args (@t144 2)) % 0.38/0.59 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.38/0.59 (step @p313 :rule reordering :premises (@p312) :args ((or @t142 @t144))) % 0.38/0.59 (step @p314 :rule chain_m_resolution :premises (@p313 @p271) :args (@t142 @t145 @t146)) % 0.38/0.59 (step @p315 :rule instantiate :premises (@p314) :args (@t147)) % 0.38/0.59 (step @p316 :rule cnf_or_pos :args (@t158)) % 0.38/0.59 (step @p317 :rule reordering :premises (@p316) :args ((or @t128 @t153 (not @t158)))) % 0.38/0.59 (step @p318 :rule chain_m_resolution :premises (@p317 @p287 @p315) :args (@t153 @t151 (@list @t127 @t158))) % 0.38/0.59 (step @p319 :rule cnf_or_pos :args (@t157)) % 0.38/0.59 (step @p320 :rule reordering :premises (@p319) :args ((or @t154 @t156 (not @t157)))) % 0.38/0.59 (step @p321 :rule chain_m_resolution :premises (@p320 @p318 @p308) :args (@t156 @t151 (@list @t153 @t157))) % 0.38/0.59 (assume-push @p337 @t149) % 0.38/0.59 (assume-push @p338 @t156) % 0.38/0.59 (step @p324 :rule symm :premises (@p321)) % 0.38/0.59 (step @p325 :rule cong :premises (@p290) :args (@t124)) % 0.38/0.59 (step @p326 :rule trans :premises (@p325 @p324)) % 0.38/0.59 (step-pop @p339 :rule scope :premises (@p326)) % 0.38/0.59 (step-pop @p340 :rule scope :premises (@p339)) % 0.38/0.59 (step @p327 :rule process_scope :premises (@p340) :args (@t125)) % 0.38/0.59 (step @p330 :rule implies_elim :premises (@p327)) % 0.38/0.59 (step @p331 :rule cnf_and_neg :args (@t159)) % 0.38/0.59 (step @p332 :rule resolution :premises (@p331 @p330) :args (true @t159)) % 0.38/0.59 (step @p333 :rule reordering :premises (@p332) :args ((or @t125 (not @t149) (not @t156)))) % 0.38/0.59 (step @p334 false :rule chain_m_resolution :premises (@p333 @p321 @p290 @p273) :args (false (@list false false true) (@list @t156 @t149 @t125))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------