%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV200^5 : 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 : n012.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 08:55:36 AM UTC 2026 % Result : Theorem 0.16s 0.38s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV200^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 18:17:48 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.38 % SZS status Theorem % 0.16/0.38 % SZS output start Proof % 0.16/0.38 ( % 0.16/0.38 (declare-sort tptp.a 0) % 0.16/0.38 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a)) % 0.16/0.38 (declare-const tptp.cZ tptp.a) % 0.16/0.38 (declare-const tptp.x tptp.a) % 0.16/0.38 (define @t1 () (@var "R" (-> tptp.a tptp.a tptp.a Bool))) % 0.16/0.38 (define @t2 () (_ (_ (_ @t1 tptp.cZ) tptp.x) tptp.x)) % 0.16/0.38 (define @t3 () (@var "Xc" tptp.a)) % 0.16/0.38 (define @t4 () (@var "Xb" tptp.a)) % 0.16/0.38 (define @t5 () (@var "Xa" tptp.a)) % 0.16/0.38 (define @t6 () (_ (_ (_ @t1 @t5) @t4) @t3)) % 0.16/0.38 (define @t7 () (@var "Xz2" tptp.a)) % 0.16/0.38 (define @t8 () (@var "Xy2" tptp.a)) % 0.16/0.38 (define @t9 () (@var "Xx2" tptp.a)) % 0.16/0.38 (define @t10 () (_ (_ (_ @t1 @t9) @t8) @t7)) % 0.16/0.38 (define @t11 () (@var "Xz1" tptp.a)) % 0.16/0.38 (define @t12 () (@var "Xy1" tptp.a)) % 0.16/0.38 (define @t13 () (@var "Xx1" tptp.a)) % 0.16/0.38 (define @t14 () (_ (_ (_ @t1 @t13) @t12) @t11)) % 0.16/0.38 (define @t15 () (_ (_ tptp.cP @t11) @t7)) % 0.16/0.38 (define @t16 () (= @t3 @t15)) % 0.16/0.38 (define @t17 () (_ (_ tptp.cP @t12) @t8)) % 0.16/0.38 (define @t18 () (= @t4 @t17)) % 0.16/0.38 (define @t19 () (_ (_ tptp.cP @t13) @t9)) % 0.16/0.38 (define @t20 () (= @t5 @t19)) % 0.16/0.38 (define @t21 () (and @t20 @t18 @t16 @t14 @t10)) % 0.16/0.38 (define @t22 () (@list @t13 @t9 @t12 @t8 @t11 @t7)) % 0.16/0.38 (define @t23 () (exists @t22 @t21)) % 0.16/0.38 (define @t24 () (= @t5 @t3)) % 0.16/0.38 (define @t25 () (and (= @t4 tptp.cZ) @t24)) % 0.16/0.38 (define @t26 () (= @t4 @t3)) % 0.16/0.38 (define @t27 () (and (= @t5 tptp.cZ) @t26)) % 0.16/0.38 (define @t28 () (or @t27 @t25 @t23)) % 0.16/0.38 (define @t29 () (=> @t28 @t6)) % 0.16/0.38 (define @t30 () (@list @t5 @t4 @t3)) % 0.16/0.38 (define @t31 () (forall @t30 @t29)) % 0.16/0.38 (define @t32 () (and true @t31)) % 0.16/0.38 (define @t33 () (=> @t32 @t2)) % 0.16/0.38 (define @t34 () (@list @t1)) % 0.16/0.38 (define @t35 () (forall @t34 @t33)) % 0.16/0.38 (define @t36 () (@var "Xx0" tptp.a)) % 0.16/0.38 (define @t37 () (@var "X" (-> tptp.a Bool))) % 0.16/0.38 (define @t38 () (_ @t37 @t36)) % 0.16/0.38 (define @t39 () (@list @t36)) % 0.16/0.38 (define @t40 () (forall @t39 @t38)) % 0.16/0.38 (define @t41 () (@var "Xy" tptp.a)) % 0.16/0.38 (define @t42 () (_ tptp.cP @t36)) % 0.16/0.38 (define @t43 () (_ @t42 @t41)) % 0.16/0.38 (define @t44 () (_ @t37 @t43)) % 0.16/0.38 (define @t45 () (_ @t37 @t41)) % 0.16/0.38 (define @t46 () (and @t38 @t45)) % 0.16/0.38 (define @t47 () (@list @t36 @t41)) % 0.16/0.38 (define @t48 () (forall @t47 (=> @t46 @t44))) % 0.16/0.38 (define @t49 () (_ @t37 tptp.cZ)) % 0.16/0.38 (define @t50 () (and @t49 @t48)) % 0.16/0.38 (define @t51 () (=> @t50 @t40)) % 0.16/0.38 (define @t52 () (@list @t37)) % 0.16/0.38 (define @t53 () (forall @t52 @t51)) % 0.16/0.38 (define @t54 () (@var "Xv" tptp.a)) % 0.16/0.38 (define @t55 () (@var "Xu" tptp.a)) % 0.16/0.38 (define @t56 () (and (= @t36 @t41) (= @t55 @t54))) % 0.16/0.38 (define @t57 () (_ (_ tptp.cP @t41) @t54)) % 0.16/0.38 (define @t58 () (_ @t42 @t55)) % 0.16/0.38 (define @t59 () (= @t58 @t57)) % 0.16/0.38 (define @t60 () (@list @t36 @t41 @t55 @t54)) % 0.16/0.38 (define @t61 () (forall @t60 (=> @t59 @t56))) % 0.16/0.38 (define @t62 () (not (= @t43 tptp.cZ))) % 0.16/0.38 (define @t63 () (forall @t47 @t62)) % 0.16/0.38 (define @t64 () (and @t63 @t61 @t53)) % 0.16/0.38 (define @t65 () (=> @t64 @t35)) % 0.16/0.38 (define @t66 () (not @t65)) % 0.16/0.38 (define @t67 () (_ @t1 tptp.cZ tptp.x tptp.x)) % 0.16/0.38 (define @t68 () (_ @t1 @t5 @t4 @t3)) % 0.16/0.38 (define @t69 () (@var "BOUND_VARIABLE_7609" tptp.a)) % 0.16/0.38 (define @t70 () (@var "BOUND_VARIABLE_7605" tptp.a)) % 0.16/0.38 (define @t71 () (@var "BOUND_VARIABLE_7601" tptp.a)) % 0.16/0.38 (define @t72 () (@var "BOUND_VARIABLE_7607" tptp.a)) % 0.16/0.38 (define @t73 () (@var "BOUND_VARIABLE_7603" tptp.a)) % 0.16/0.38 (define @t74 () (@var "BOUND_VARIABLE_7599" tptp.a)) % 0.16/0.38 (define @t75 () (not (= @t3 (tptp.cP @t72 @t69)))) % 0.16/0.38 (define @t76 () (not (= @t4 (tptp.cP @t73 @t70)))) % 0.16/0.38 (define @t77 () (not (= @t5 (tptp.cP @t74 @t71)))) % 0.16/0.38 (define @t78 () (or @t77 @t76 @t75 (not (_ @t1 @t74 @t73 @t72)) (not (_ @t1 @t71 @t70 @t69)))) % 0.16/0.38 (define @t79 () (= tptp.cZ @t4)) % 0.16/0.38 (define @t80 () (or (not @t79) (not @t24))) % 0.16/0.38 (define @t81 () (= tptp.cZ @t5)) % 0.16/0.38 (define @t82 () (or (not @t81) (not @t26))) % 0.16/0.38 (define @t83 () (and @t82 @t80 @t78)) % 0.16/0.38 (define @t84 () (or @t83 @t68)) % 0.16/0.38 (define @t85 () (@list @t5 @t4 @t3 @t74 @t71 @t73 @t70 @t72 @t69)) % 0.16/0.38 (define @t86 () (forall @t85 @t84)) % 0.16/0.38 (define @t87 () (not @t86)) % 0.16/0.38 (define @t88 () (or @t87 @t2)) % 0.16/0.38 (define @t89 () (@list @t74 @t71 @t73 @t70 @t72 @t69)) % 0.16/0.38 (define @t90 () (forall @t89 @t84)) % 0.16/0.38 (define @t91 () (forall @t89 @t78)) % 0.16/0.38 (define @t92 () (forall @t89 @t80)) % 0.16/0.38 (define @t93 () (forall @t89 @t82)) % 0.16/0.38 (define @t94 () (and @t93 @t92 @t91)) % 0.16/0.38 (define @t95 () (forall @t89 @t83)) % 0.16/0.38 (define @t96 () (or @t95 @t68)) % 0.16/0.38 (define @t97 () (_ @t1 @t9 @t8 @t7)) % 0.16/0.38 (define @t98 () (_ @t1 @t13 @t12 @t11)) % 0.16/0.38 (define @t99 () (tptp.cP @t11 @t7)) % 0.16/0.38 (define @t100 () (tptp.cP @t12 @t8)) % 0.16/0.38 (define @t101 () (tptp.cP @t13 @t9)) % 0.16/0.38 (define @t102 () (forall @t22 (or (not (= @t5 @t101)) (not (= @t4 @t100)) (not (= @t3 @t99)) (not @t98) (not @t97)))) % 0.16/0.38 (define @t103 () (and @t82 @t80 @t102)) % 0.16/0.38 (define @t104 () (or @t103 @t6)) % 0.16/0.38 (define @t105 () (and @t79 @t24)) % 0.16/0.38 (define @t106 () (not @t105)) % 0.16/0.38 (define @t107 () (and @t81 @t26)) % 0.16/0.38 (define @t108 () (not @t107)) % 0.16/0.38 (define @t109 () (not @t102)) % 0.16/0.38 (define @t110 () (not @t109)) % 0.16/0.38 (define @t111 () (and @t108 @t106 @t110)) % 0.16/0.38 (define @t112 () (or @t107 @t105 @t109)) % 0.16/0.38 (define @t113 () (not @t10)) % 0.16/0.38 (define @t114 () (not @t14)) % 0.16/0.38 (define @t115 () (not @t16)) % 0.16/0.38 (define @t116 () (not @t18)) % 0.16/0.38 (define @t117 () (not @t20)) % 0.16/0.38 (define @t118 () (or @t117 @t116 @t115 @t114 @t113)) % 0.16/0.38 (define @t119 () (forall @t22 (not @t21))) % 0.16/0.38 (define @t120 () (not @t119)) % 0.16/0.38 (define @t121 () (@var "BOUND_VARIABLE_7544" tptp.a)) % 0.16/0.38 (define @t122 () (_ @t37 @t121)) % 0.16/0.38 (define @t123 () (tptp.cP @t36 @t41)) % 0.16/0.38 (define @t124 () (_ @t37 @t123)) % 0.16/0.38 (define @t125 () (_ @t37 @t41)) % 0.16/0.38 (define @t126 () (_ @t37 @t36)) % 0.16/0.38 (define @t127 () (forall @t47 (or (not @t126) (not @t125) @t124))) % 0.16/0.38 (define @t128 () (not @t127)) % 0.16/0.38 (define @t129 () (_ @t37 tptp.cZ)) % 0.16/0.38 (define @t130 () (not @t129)) % 0.16/0.38 (define @t131 () (or @t130 @t128 @t122)) % 0.16/0.38 (define @t132 () (@list @t121)) % 0.16/0.38 (define @t133 () (forall @t132 @t131)) % 0.16/0.38 (define @t134 () (forall @t132 @t122)) % 0.16/0.38 (define @t135 () (or @t130 @t128 @t134)) % 0.16/0.38 (define @t136 () (forall @t39 @t126)) % 0.16/0.38 (define @t137 () (not @t49)) % 0.16/0.38 (define @t138 () (or @t137 @t128 @t136)) % 0.16/0.38 (define @t139 () (and @t49 @t127)) % 0.16/0.38 (define @t140 () (not @t45)) % 0.16/0.38 (define @t141 () (not @t38)) % 0.16/0.38 (define @t142 () (or @t141 @t140 @t44)) % 0.16/0.38 (define @t143 () (tptp.cP @t41 @t54)) % 0.16/0.38 (define @t144 () (tptp.cP @t36 @t55)) % 0.16/0.38 (define @t145 () (not @t59)) % 0.16/0.38 (define @t146 () (or @t145 @t56)) % 0.16/0.38 (define @t147 () (= tptp.cZ @t43)) % 0.16/0.38 (define @t148 () (not @t147)) % 0.16/0.38 (define @t149 () (@quantifiers_skolemize (forall @t34 (or @t87 @t67)) 0)) % 0.16/0.38 (define @t150 () (forall @t85 (or (and @t82 @t80 (or @t77 @t76 @t75 (not (_ @t149 @t74 @t73 @t72)) (not (_ @t149 @t71 @t70 @t69)))) (_ @t149 @t5 @t4 @t3)))) % 0.16/0.38 (define @t151 () (_ @t149 tptp.cZ tptp.x tptp.x)) % 0.16/0.38 (define @t152 () (not @t150)) % 0.16/0.38 (define @t153 () (or @t152 @t151)) % 0.16/0.38 (define @t154 () (@list true)) % 0.16/0.38 (define @t155 () (@list @t153)) % 0.16/0.38 (define @t156 () (not (_ @t149 tptp.x tptp.x tptp.x))) % 0.16/0.38 (define @t157 () (tptp.cP tptp.x tptp.x)) % 0.16/0.38 (define @t158 () (not (= tptp.x @t157))) % 0.16/0.38 (define @t159 () (or (not (= tptp.cZ @t157)) @t158 @t158 @t156 @t156)) % 0.16/0.38 (define @t160 () (not (= tptp.cZ tptp.x))) % 0.16/0.38 (define @t161 () (or @t160 @t160)) % 0.16/0.38 (define @t162 () (not (= tptp.x tptp.x))) % 0.16/0.38 (define @t163 () (not (= tptp.cZ tptp.cZ))) % 0.16/0.38 (define @t164 () (or @t163 @t162)) % 0.16/0.38 (define @t165 () (and @t164 @t161 @t159)) % 0.16/0.38 (define @t166 () (or @t165 @t151)) % 0.16/0.38 (assume @p1 @t66) % 0.16/0.38 (assume @p2 true) % 0.16/0.38 (step @p3 :rule refl :args (@t67)) % 0.16/0.38 (step @p4 :rule refl :args (@t2)) % 0.16/0.38 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t67))) % 0.16/0.38 (step @p6 :rule symm :premises (@p5)) % 0.16/0.38 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.16/0.38 (step @p8 :rule refl :args (@t87)) % 0.16/0.38 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t88)) % 0.16/0.38 (step @p10 :rule cong :premises (@p9) :args ((forall @t34 @t88))) % 0.16/0.38 (step @p11 :rule bool-impl-elim :args (@t86 @t2)) % 0.16/0.38 (step @p12 :rule cong :premises (@p11) :args ((forall @t34 (=> @t86 @t2)))) % 0.16/0.38 (step @p13 :rule trans :premises (@p12 @p10)) % 0.16/0.38 (step @p14 :rule refl :args (@t2)) % 0.16/0.38 (step @p15 :rule quant-merge-prenex :args ((= (forall @t30 @t90) @t86))) % 0.16/0.38 (step @p16 :rule refl :args (@t68)) % 0.16/0.38 (step @p17 :rule alpha_equiv :args (@t91 (@list @t74 @t71 @t73 @t70 @t72 @t69) (@list @t13 @t9 @t12 @t8 @t11 @t7))) % 0.16/0.38 (step @p18 :rule quant-unused-vars :args ((= @t92 @t80))) % 0.16/0.38 (step @p19 :rule quant-unused-vars :args ((= @t93 @t82))) % 0.16/0.38 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t94)) % 0.16/0.38 (step @p21 :rule quant-miniscope-and :args ((= @t95 @t94))) % 0.16/0.38 (step @p22 :rule trans :premises (@p21 @p20)) % 0.16/0.38 (step @p23 :rule nary_cong :premises (@p22 @p16) :args (@t96)) % 0.16/0.38 (step @p24 :rule quant-miniscope-or :args ((= @t90 @t96))) % 0.16/0.38 (step @p25 :rule trans :premises (@p24 @p23)) % 0.16/0.38 (step @p26 :rule symm :premises (@p25)) % 0.16/0.38 (step @p27 :rule cong :premises (@p26) :args ((forall @t30 (or @t103 @t68)))) % 0.16/0.38 (step @p28 :rule trans :premises (@p27 @p15)) % 0.16/0.38 (step @p29 :rule refl :args (@t68)) % 0.16/0.38 (step @p30 :rule refl :args (@t6)) % 0.16/0.38 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t6 @t68))) % 0.16/0.38 (step @p32 :rule symm :premises (@p31)) % 0.16/0.38 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.16/0.38 (step @p34 :rule refl :args (@t103)) % 0.16/0.38 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t104)) % 0.16/0.38 (step @p36 :rule cong :premises (@p35) :args ((forall @t30 @t104))) % 0.16/0.38 (step @p37 :rule trans :premises (@p36 @p28)) % 0.16/0.38 (step @p38 :rule refl :args (@t102)) % 0.16/0.38 (step @p39 :rule bool-and-de-morgan :args (@t79 @t24 true)) % 0.16/0.38 (step @p40 :rule bool-and-de-morgan :args (@t81 @t26 true)) % 0.16/0.38 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args ((and @t108 @t106 @t102))) % 0.16/0.38 (step @p42 :rule bool-double-not-elim :args (@t102)) % 0.16/0.38 (step @p43 :rule refl :args (@t106)) % 0.16/0.38 (step @p44 :rule refl :args (@t108)) % 0.16/0.38 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t111)) % 0.16/0.38 (step @p46 :rule aci_norm :args ((= (and @t108 (and @t106 @t110)) @t111))) % 0.16/0.38 (step @p47 :rule trans :premises (@p46 @p45)) % 0.16/0.38 (step @p48 :rule bool-or-de-morgan :args (@t105 @t109 false)) % 0.16/0.38 (step @p49 :rule nary_cong :premises (@p44 @p48) :args ((and @t108 (not (or @t105 @t109))))) % 0.16/0.38 (step @p50 :rule bool-or-de-morgan :args (@t107 @t105 (or @t109))) % 0.16/0.38 (step @p51 :rule trans :premises (@p50 @p49)) % 0.16/0.38 (step @p52 :rule trans :premises (@p51 @p47)) % 0.16/0.38 (step @p53 :rule trans :premises (@p52 @p41)) % 0.16/0.38 (step @p54 :rule nary_cong :premises (@p53 @p30) :args ((or (not @t112) @t6))) % 0.16/0.38 (step @p55 :rule bool-impl-elim :args (@t112 @t6)) % 0.16/0.38 (step @p56 :rule trans :premises (@p55 @p54)) % 0.16/0.38 (step @p57 :rule cong :premises (@p56) :args ((forall @t30 (=> @t112 @t6)))) % 0.16/0.38 (step @p58 :rule trans :premises (@p57 @p37)) % 0.16/0.38 (step @p59 :rule refl :args (@t6)) % 0.16/0.38 (step @p60 :rule refl :args (@t97)) % 0.16/0.38 (step @p61 :rule refl :args (@t10)) % 0.16/0.38 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t10 @t97))) % 0.16/0.38 (step @p63 :rule symm :premises (@p62)) % 0.16/0.38 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.16/0.38 (step @p65 :rule cong :premises (@p64) :args (@t113)) % 0.16/0.38 (step @p66 :rule refl :args (@t98)) % 0.16/0.38 (step @p67 :rule refl :args (@t14)) % 0.16/0.38 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t14 @t98))) % 0.16/0.38 (step @p69 :rule symm :premises (@p68)) % 0.16/0.38 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.16/0.38 (step @p71 :rule cong :premises (@p70) :args (@t114)) % 0.16/0.38 (step @p72 :rule refl :args (@t99)) % 0.16/0.38 (step @p73 :rule refl :args (@t15)) % 0.16/0.38 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t15 @t99))) % 0.16/0.38 (step @p75 :rule symm :premises (@p74)) % 0.16/0.38 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.16/0.38 (step @p77 :rule refl :args (@t3)) % 0.16/0.38 (step @p78 :rule cong :premises (@p77 @p76) :args (@t16)) % 0.16/0.38 (step @p79 :rule cong :premises (@p78) :args (@t115)) % 0.16/0.38 (step @p80 :rule refl :args (@t100)) % 0.16/0.38 (step @p81 :rule refl :args (@t17)) % 0.16/0.38 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t17 @t100))) % 0.16/0.38 (step @p83 :rule symm :premises (@p82)) % 0.16/0.38 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.16/0.38 (step @p85 :rule refl 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@p203 :rule cong :premises (@p202) :args (@t53)) % 0.16/0.38 (step @p204 :rule trans :premises (@p203 @p160)) % 0.16/0.38 (step @p205 :rule refl :args (@t56)) % 0.16/0.38 (step @p206 :rule refl :args (@t143)) % 0.16/0.38 (step @p207 :rule refl :args (@t57)) % 0.16/0.38 (step @p208 :rule cong :premises (@p207 @p206) :args ((= @t57 @t143))) % 0.16/0.38 (step @p209 :rule symm :premises (@p208)) % 0.16/0.38 (step @p210 :rule eq_resolve :premises (@p207 @p209)) % 0.16/0.38 (step @p211 :rule refl :args (@t144)) % 0.16/0.38 (step @p212 :rule refl :args (@t58)) % 0.16/0.38 (step @p213 :rule cong :premises (@p212 @p211) :args ((= @t58 @t144))) % 0.16/0.38 (step @p214 :rule symm :premises (@p213)) % 0.16/0.38 (step @p215 :rule eq_resolve :premises (@p212 @p214)) % 0.16/0.38 (step @p216 :rule cong :premises (@p215 @p210) :args (@t59)) % 0.16/0.38 (step @p217 :rule cong :premises (@p216) :args (@t145)) % 0.16/0.38 (step @p218 :rule nary_cong :premises (@p217 @p205) :args (@t146)) % 0.16/0.38 (step @p219 :rule cong :premises (@p218) :args ((forall @t60 @t146))) % 0.16/0.38 (step @p220 :rule bool-impl-elim :args (@t59 @t56)) % 0.16/0.38 (step @p221 :rule cong :premises (@p220) :args (@t61)) % 0.16/0.38 (step @p222 :rule trans :premises (@p221 @p219)) % 0.16/0.38 (step @p223 :rule refl :args (tptp.cZ)) % 0.16/0.38 (step @p224 :rule cong :premises (@p223 @p180) :args (@t147)) % 0.16/0.38 (step @p225 :rule cong :premises (@p224) :args (@t148)) % 0.16/0.38 (step @p226 :rule cong :premises (@p225) :args ((forall @t47 @t148))) % 0.16/0.38 (step @p227 :rule eq-symm :args (@t43 tptp.cZ)) % 0.16/0.38 (step @p228 :rule cong :premises (@p227) :args (@t62)) % 0.16/0.38 (step @p229 :rule cong :premises (@p228) :args (@t63)) % 0.16/0.38 (step @p230 :rule trans :premises (@p229 @p226)) % 0.16/0.38 (step @p231 :rule nary_cong :premises (@p230 @p222 @p204) :args (@t64)) % 0.16/0.38 (step @p232 :rule cong :premises (@p231 @p132) :args (@t65)) % 0.16/0.38 (step @p233 :rule cong :premises (@p232) :args (@t66)) % 0.16/0.38 (step @p234 :rule eq_resolve :premises (@p1 @p233)) % 0.16/0.38 (step @p235 :rule not_implies_elim2 :premises (@p234)) % 0.16/0.38 (step @p236 :rule skolemize :premises (@p235)) % 0.16/0.38 (step @p237 :rule bool-double-not-elim :args (@t150)) % 0.16/0.38 (step @p238 :rule refl :args (@t153)) % 0.16/0.38 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((or @t153 (not @t152)))) % 0.16/0.38 (step @p240 :rule cnf_or_neg :args (@t153 0)) % 0.16/0.38 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 0.16/0.38 (step @p242 :rule reordering :premises (@p241) :args ((or @t150 @t153))) % 0.16/0.38 (step @p243 :rule chain_m_resolution :premises (@p242 @p236) :args (@t150 @t154 @t155)) % 0.16/0.38 (step @p244 :rule cnf_or_neg :args (@t153 1)) % 0.16/0.38 (step @p245 :rule chain_m_resolution :premises (@p244 @p236) :args ((not @t151) @t154 @t155)) % 0.16/0.38 (step @p246 :rule aci_norm :args ((= (or false @t151) @t151))) % 0.16/0.38 (step @p247 :rule refl :args (@t151)) % 0.16/0.38 (step @p248 :rule absorb :args ((= (and false (not (= tptp.x tptp.cZ)) @t159) false))) % 0.16/0.38 (step @p249 :rule refl :args (@t159)) % 0.16/0.38 (step @p250 :rule eq-symm :args (tptp.cZ tptp.x)) % 0.16/0.38 (step @p251 :rule cong :premises (@p250) :args (@t160)) % 0.16/0.38 (step @p252 :rule aci_norm :args ((= @t161 @t160))) % 0.16/0.38 (step @p253 :rule trans :premises (@p252 @p251)) % 0.16/0.38 (step @p254 :rule evaluate :args ((or false false))) % 0.16/0.38 (step @p255 :rule evaluate :args ((not true))) % 0.16/0.38 (step @p256 :rule eq-refl :args (tptp.x)) % 0.16/0.38 (step @p257 :rule cong :premises (@p256) :args (@t162)) % 0.16/0.38 (step @p258 :rule trans :premises (@p257 @p255)) % 0.16/0.38 (step @p259 :rule eq-refl :args (tptp.cZ)) % 0.16/0.38 (step @p260 :rule cong :premises (@p259) :args (@t163)) % 0.16/0.38 (step @p261 :rule trans :premises (@p260 @p255)) % 0.16/0.38 (step @p262 :rule nary_cong :premises (@p261 @p258) :args (@t164)) % 0.16/0.38 (step @p263 :rule trans :premises (@p262 @p254)) % 0.16/0.38 (step @p264 :rule nary_cong :premises (@p263 @p253 @p249) :args (@t165)) % 0.16/0.38 (step @p265 :rule trans :premises (@p264 @p248)) % 0.16/0.38 (step @p266 :rule nary_cong :premises (@p265 @p247) :args (@t166)) % 0.16/0.38 (step @p267 :rule trans :premises (@p266 @p246)) % 0.16/0.38 (step @p268 :rule refl :args (@t150)) % 0.16/0.38 (step @p269 :rule cong :premises (@p268 @p267) :args ((=> @t150 @t166))) % 0.16/0.38 (assume-push @p277 @t150) % 0.16/0.38 (step @p271 :rule instantiate :premises (@p243) :args ((@list tptp.cZ tptp.x tptp.x tptp.x tptp.x tptp.x tptp.x tptp.x tptp.x))) % 0.16/0.38 (step-pop @p278 :rule scope :premises (@p271)) % 0.16/0.38 (step @p272 :rule process_scope :premises (@p278) :args (@t166)) % 0.16/0.38 (step @p274 :rule eq_resolve :premises (@p272 @p269)) % 0.16/0.38 (step @p275 :rule implies_elim :premises (@p274)) % 0.16/0.38 (step @p276 false :rule chain_m_resolution :premises (@p275 @p245 @p243) :args (false (@list true false) (@list @t151 @t150))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------