%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN024^2 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:42:48 AM UTC 2026 % Result : Theorem 0.23s 0.49s % Output : Proof 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUN024^2 : TPTP v9.2.1. Released v6.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.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 07:37:30 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.23/0.49 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.23/0.49 % SZS status Theorem % 0.23/0.49 % SZS output start Proof % 0.23/0.49 ( % 0.23/0.49 (declare-sort $$unsorted 0) % 0.23/0.49 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.ite (-> Bool $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.zero $$unsorted) % 0.23/0.49 (define @t1 () (_ tptp.s tptp.zero)) % 0.23/0.49 (define @t2 () (_ tptp.s @t1)) % 0.23/0.49 (define @t3 () (@var "H" (-> $$unsorted $$unsorted))) % 0.23/0.49 (define @t4 () (_ @t3 @t2)) % 0.23/0.49 (define @t5 () (_ @t3 @t1)) % 0.23/0.49 (define @t6 () (_ @t3 tptp.zero)) % 0.23/0.49 (define @t7 () (and (= @t6 @t1) (= @t5 tptp.zero) (= @t4 tptp.zero))) % 0.23/0.49 (define @t8 () (@list @t3)) % 0.23/0.49 (define @t9 () (exists @t8 @t7)) % 0.23/0.49 (define @t10 () (@var "X" $$unsorted)) % 0.23/0.49 (define @t11 () (_ tptp.h @t10)) % 0.23/0.49 (define @t12 () (= @t11 (_ (_ (_ tptp.ite (= @t10 tptp.zero)) @t1) tptp.zero))) % 0.23/0.49 (define @t13 () (@list @t10)) % 0.23/0.49 (define @t14 () (forall @t13 @t12)) % 0.23/0.49 (define @t15 () (_ tptp.s @t10)) % 0.23/0.49 (define @t16 () (not (= @t15 @t10))) % 0.23/0.49 (define @t17 () (forall @t13 @t16)) % 0.23/0.49 (define @t18 () (not (= @t15 tptp.zero))) % 0.23/0.49 (define @t19 () (forall @t13 @t18)) % 0.23/0.49 (define @t20 () (@var "V" $$unsorted)) % 0.23/0.49 (define @t21 () (@var "U" $$unsorted)) % 0.23/0.49 (define @t22 () (@var "X100" Bool)) % 0.23/0.49 (define @t23 () (_ (_ (_ tptp.ite @t22) @t21) @t20)) % 0.23/0.49 (define @t24 () (not @t22)) % 0.23/0.49 (define @t25 () (=> @t24 (= @t23 @t20))) % 0.23/0.49 (define @t26 () (@list @t22 @t21 @t20)) % 0.23/0.49 (define @t27 () (forall @t26 @t25)) % 0.23/0.49 (define @t28 () (=> @t22 (= @t23 @t21))) % 0.23/0.49 (define @t29 () (forall @t26 @t28)) % 0.23/0.49 (define @t30 () (and @t29 @t27 @t19 @t17 @t14)) % 0.23/0.49 (define @t31 () (=> @t30 @t9)) % 0.23/0.49 (define @t32 () (not @t31)) % 0.23/0.49 (define @t33 () (tptp.s tptp.zero)) % 0.23/0.49 (define @t34 () (tptp.s @t33)) % 0.23/0.49 (define @t35 () (_ @t3 @t34)) % 0.23/0.49 (define @t36 () (_ tptp.s @t33)) % 0.23/0.49 (define @t37 () (= @t36 @t34)) % 0.23/0.49 (define @t38 () (= @t1 @t33)) % 0.23/0.49 (define @t39 () (= tptp.zero @t4)) % 0.23/0.49 (define @t40 () (not @t39)) % 0.23/0.49 (define @t41 () (_ @t3 @t33)) % 0.23/0.49 (define @t42 () (= tptp.zero @t5)) % 0.23/0.49 (define @t43 () (not @t42)) % 0.23/0.49 (define @t44 () (_ @t3 tptp.zero)) % 0.23/0.49 (define @t45 () (= @t1 @t6)) % 0.23/0.49 (define @t46 () (not @t45)) % 0.23/0.49 (define @t47 () (or @t46 @t43 @t40)) % 0.23/0.49 (define @t48 () (and @t45 @t42 @t39)) % 0.23/0.49 (define @t49 () (forall @t8 (not @t48))) % 0.23/0.49 (define @t50 () (not @t49)) % 0.23/0.49 (define @t51 () (= tptp.zero @t10)) % 0.23/0.49 (define @t52 () (tptp.ite @t51 @t33 tptp.zero)) % 0.23/0.49 (define @t53 () (_ tptp.ite @t51)) % 0.23/0.49 (define @t54 () (_ (_ @t53 @t1) tptp.zero)) % 0.23/0.49 (define @t55 () (tptp.h @t10)) % 0.23/0.49 (define @t56 () (= @t11 @t54)) % 0.23/0.49 (define @t57 () (tptp.s @t10)) % 0.23/0.49 (define @t58 () (= @t10 @t15)) % 0.23/0.49 (define @t59 () (not @t58)) % 0.23/0.49 (define @t60 () (= tptp.zero @t15)) % 0.23/0.49 (define @t61 () (not @t60)) % 0.23/0.49 (define @t62 () (= @t20 (tptp.ite false @t21 @t20))) % 0.23/0.49 (define @t63 () (or false @t62)) % 0.23/0.49 (define @t64 () (@list @t21 @t20)) % 0.23/0.49 (define @t65 () (tptp.ite @t22 @t21 @t20)) % 0.23/0.49 (define @t66 () (= @t20 @t65)) % 0.23/0.49 (define @t67 () (@list @t22)) % 0.23/0.49 (define @t68 () (not @t24)) % 0.23/0.49 (define @t69 () (or @t22 @t22 @t66)) % 0.23/0.49 (define @t70 () (or @t22 @t66)) % 0.23/0.49 (define @t71 () (forall @t67 @t70)) % 0.23/0.49 (define @t72 () (forall @t64 @t71)) % 0.23/0.49 (define @t73 () (@list @t21 @t20 @t22)) % 0.23/0.49 (define @t74 () (forall @t73 @t70)) % 0.23/0.49 (define @t75 () (= @t20 @t23)) % 0.23/0.49 (define @t76 () (or @t22 @t75)) % 0.23/0.49 (define @t77 () (= @t21 (tptp.ite true @t21 @t20))) % 0.23/0.49 (define @t78 () (not true)) % 0.23/0.49 (define @t79 () (or @t78 @t77)) % 0.23/0.49 (define @t80 () (= @t21 @t65)) % 0.23/0.49 (define @t81 () (or @t24 @t24 @t80)) % 0.23/0.49 (define @t82 () (or @t24 @t80)) % 0.23/0.49 (define @t83 () (forall @t67 @t82)) % 0.23/0.49 (define @t84 () (forall @t64 @t83)) % 0.23/0.49 (define @t85 () (forall @t73 @t82)) % 0.23/0.49 (define @t86 () (= @t21 @t23)) % 0.23/0.49 (define @t87 () (or @t24 @t86)) % 0.23/0.49 (define @t88 () (@list @t33)) % 0.23/0.49 (define @t89 () (ite @t37 tptp.zero @t36)) % 0.23/0.49 (define @t90 () (= tptp.zero @t34)) % 0.23/0.49 (define @t91 () (ite @t90 @t1 @t89)) % 0.23/0.49 (define @t92 () (@purify @t91)) % 0.23/0.49 (define @t93 () (= @t1 @t34)) % 0.23/0.49 (define @t94 () (ite @t93 tptp.zero @t91)) % 0.23/0.49 (define @t95 () (@purify @t94)) % 0.23/0.49 (define @t96 () (= @t91 @t95)) % 0.23/0.49 (define @t97 () (= tptp.zero @t95)) % 0.23/0.49 (define @t98 () (= @t94 @t91)) % 0.23/0.49 (define @t99 () (= @t94 tptp.zero)) % 0.23/0.49 (define @t100 () (= @t95 @t92)) % 0.23/0.49 (define @t101 () (@list true)) % 0.23/0.49 (define @t102 () (@purify @t89)) % 0.23/0.49 (define @t103 () (= @t89 @t92)) % 0.23/0.49 (define @t104 () (= @t1 @t92)) % 0.23/0.49 (define @t105 () (= @t91 @t89)) % 0.23/0.49 (define @t106 () (= @t91 @t1)) % 0.23/0.49 (define @t107 () (= @t92 @t102)) % 0.23/0.49 (define @t108 () (= tptp.zero @t102)) % 0.23/0.49 (define @t109 () (= @t36 @t102)) % 0.23/0.49 (define @t110 () (= @t89 @t36)) % 0.23/0.49 (define @t111 () (= @t89 tptp.zero)) % 0.23/0.49 (define @t112 () (= tptp.zero @t94)) % 0.23/0.49 (define @t113 () (not @t112)) % 0.23/0.49 (define @t114 () (= tptp.zero @t33)) % 0.23/0.49 (define @t115 () (ite @t114 @t1 (ite (= @t33 @t36) tptp.zero @t36))) % 0.23/0.49 (define @t116 () (ite @t38 tptp.zero @t115)) % 0.23/0.49 (define @t117 () (@purify @t116)) % 0.23/0.49 (define @t118 () (= tptp.zero @t116)) % 0.23/0.49 (define @t119 () (not @t118)) % 0.23/0.49 (define @t120 () (= tptp.zero @t1)) % 0.23/0.49 (define @t121 () (ite @t120 tptp.zero @t1)) % 0.23/0.49 (define @t122 () (@purify @t121)) % 0.23/0.49 (define @t123 () (= @t33 @t121)) % 0.23/0.49 (define @t124 () (not @t123)) % 0.23/0.49 (define @t125 () (or @t124 @t119 @t113)) % 0.23/0.49 (define @t126 () (forall @t8 (or (not (= @t33 @t44)) (not (= tptp.zero @t41)) (not (= tptp.zero @t35))))) % 0.23/0.49 (define @t127 () (@var "BOUND_VARIABLE_43258" $$unsorted)) % 0.23/0.49 (define @t128 () (lambda (@list @t127) (ite (= @t1 @t127) tptp.zero (ite (= tptp.zero @t127) @t1 (ite (= @t36 @t127) tptp.zero @t36))))) % 0.23/0.49 (define @t129 () (_ @t128 @t34)) % 0.23/0.49 (define @t130 () (= tptp.zero @t129)) % 0.23/0.49 (define @t131 () (not @t130)) % 0.23/0.49 (define @t132 () (ite (= @t36 @t33) tptp.zero @t36)) % 0.23/0.49 (define @t133 () (ite @t114 @t1 @t132)) % 0.23/0.49 (define @t134 () (ite @t38 tptp.zero @t133)) % 0.23/0.49 (define @t135 () (_ @t128 @t33)) % 0.23/0.49 (define @t136 () (= tptp.zero @t135)) % 0.23/0.49 (define @t137 () (not @t136)) % 0.23/0.49 (define @t138 () (ite (= @t36 tptp.zero) tptp.zero @t36)) % 0.23/0.49 (define @t139 () (ite (= tptp.zero tptp.zero) @t1 @t138)) % 0.23/0.49 (define @t140 () (ite (= @t1 tptp.zero) tptp.zero @t139)) % 0.23/0.49 (define @t141 () (_ @t128 tptp.zero)) % 0.23/0.49 (define @t142 () (= @t33 @t141)) % 0.23/0.49 (define @t143 () (not @t142)) % 0.23/0.49 (define @t144 () (or @t143 @t137 @t131)) % 0.23/0.49 (define @t145 () (not @t97)) % 0.23/0.49 (define @t146 () (= tptp.zero @t117)) % 0.23/0.49 (define @t147 () (not @t146)) % 0.23/0.49 (define @t148 () (= @t33 @t122)) % 0.23/0.49 (define @t149 () (not @t148)) % 0.23/0.49 (define @t150 () (or @t149 @t147 @t145)) % 0.23/0.49 (define @t151 () (= @t1 @t122)) % 0.23/0.49 (define @t152 () (= tptp.zero @t122)) % 0.23/0.49 (define @t153 () (= @t121 @t1)) % 0.23/0.49 (define @t154 () (= @t121 tptp.zero)) % 0.23/0.49 (define @t155 () (@purify @t115)) % 0.23/0.49 (define @t156 () (= @t115 @t117)) % 0.23/0.49 (define @t157 () (= @t116 @t115)) % 0.23/0.49 (define @t158 () (= @t116 tptp.zero)) % 0.23/0.49 (define @t159 () (and @t100 @t107 @t108)) % 0.23/0.49 (assume @p1 @t32) % 0.23/0.49 (assume @p2 true) % 0.23/0.49 (step @p3 :rule refl :args ((_ @t3 @t2))) % 0.23/0.49 (step @p4 :rule refl :args ((tptp.s @t1))) % 0.23/0.49 (step @p5 :rule refl :args (@t33)) % 0.23/0.49 (step @p6 :rule cong :premises (@p5) :args (@t34)) % 0.23/0.49 (step @p7 :rule trans :premises (@p6 @p4)) % 0.23/0.49 (step @p8 :rule cong :premises (@p7) :args (@t35)) % 0.23/0.49 (step @p9 :rule trans :premises (@p8 @p3)) % 0.23/0.49 (step @p10 :rule refl :args (@t3)) % 0.23/0.49 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.23/0.49 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t3 @t34) @t35))) % 0.23/0.49 (step @p13 :rule symm :premises (@p12)) % 0.23/0.49 (step @p14 :rule refl :args (@t4)) % 0.23/0.49 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.23/0.49 (step @p16 :rule refl :args (tptp.s)) % 0.23/0.49 (step @p17 :rule ho_cong :premises (@p16 @p5)) % 0.23/0.49 (step @p18 :rule cong :premises (@p17 @p7) :args (@t37)) % 0.23/0.49 (step @p19 :rule symm :premises (@p18)) % 0.23/0.49 (step @p20 :rule refl :args (@t2)) % 0.23/0.49 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.23/0.49 (step @p22 :rule refl :args (@t1)) % 0.23/0.49 (step @p23 :rule cong :premises (@p22 @p5) :args (@t38)) % 0.23/0.49 (step @p24 :rule symm :premises (@p23)) % 0.23/0.49 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.23/0.49 (step @p26 :rule ho_cong :premises (@p16 @p25)) % 0.23/0.49 (step @p27 :rule trans :premises (@p26 @p21)) % 0.23/0.49 (step @p28 :rule ho_cong :premises (@p10 @p27)) % 0.23/0.49 (step @p29 :rule trans :premises (@p28 @p15)) % 0.23/0.49 (step @p30 :rule refl :args (tptp.zero)) % 0.23/0.49 (step @p31 :rule cong :premises (@p30 @p29) :args (@t39)) % 0.23/0.49 (step @p32 :rule cong :premises (@p31) :args (@t40)) % 0.23/0.49 (step @p33 :rule refl :args ((_ @t3 @t1))) % 0.23/0.49 (step @p34 :rule cong :premises (@p5) :args (@t41)) % 0.23/0.49 (step @p35 :rule trans :premises (@p34 @p33)) % 0.23/0.49 (step @p36 :rule ho_cong :premises (@p10 @p5)) % 0.23/0.49 (step @p37 :rule cong :premises (@p36 @p35) :args ((= (_ @t3 @t33) @t41))) % 0.23/0.49 (step @p38 :rule symm :premises (@p37)) % 0.23/0.49 (step @p39 :rule refl :args (@t5)) % 0.23/0.49 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.23/0.49 (step @p41 :rule ho_cong :premises (@p10 @p25)) % 0.23/0.49 (step @p42 :rule trans :premises (@p41 @p40)) % 0.23/0.49 (step @p43 :rule cong :premises (@p30 @p42) :args (@t42)) % 0.23/0.49 (step @p44 :rule cong :premises (@p43) :args (@t43)) % 0.23/0.49 (step @p45 :rule refl :args (@t44)) % 0.23/0.49 (step @p46 :rule refl :args (@t6)) % 0.23/0.49 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t6 @t44))) % 0.23/0.49 (step @p48 :rule symm :premises (@p47)) % 0.23/0.49 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.23/0.49 (step @p50 :rule cong :premises (@p25 @p49) :args (@t45)) % 0.23/0.49 (step @p51 :rule cong :premises (@p50) :args (@t46)) % 0.23/0.49 (step @p52 :rule nary_cong :premises (@p51 @p44 @p32) :args (@t47)) % 0.23/0.49 (step @p53 :rule cong :premises (@p52) :args ((forall @t8 @t47))) % 0.23/0.49 (step @p54 :rule aci_norm :args ((= (or @t46 (or @t43 @t40)) @t47))) % 0.23/0.49 (step @p55 :rule bool-and-de-morgan :args (@t42 @t39 true)) % 0.23/0.49 (step @p56 :rule refl :args (@t46)) % 0.23/0.49 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t46 (not (and @t42 @t39))))) % 0.23/0.49 (step @p58 :rule bool-and-de-morgan :args (@t45 @t42 (and @t39))) % 0.23/0.49 (step @p59 :rule trans :premises (@p58 @p57)) % 0.23/0.49 (step @p60 :rule trans :premises (@p59 @p54)) % 0.23/0.49 (step @p61 :rule cong :premises (@p60) :args (@t49)) % 0.23/0.49 (step @p62 :rule trans :premises (@p61 @p53)) % 0.23/0.49 (step @p63 :rule cong :premises (@p62) :args (@t50)) % 0.23/0.49 (step @p64 :rule exists-elim :args ((= (exists @t8 @t48) @t50))) % 0.23/0.49 (step @p65 :rule trans :premises (@p64 @p63)) % 0.23/0.49 (step @p66 :rule eq-symm :args (@t4 tptp.zero)) % 0.23/0.49 (step @p67 :rule eq-symm :args (@t5 tptp.zero)) % 0.23/0.49 (step @p68 :rule eq-symm :args (@t6 @t1)) % 0.23/0.49 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args (@t7)) % 0.23/0.49 (step @p70 :rule cong :premises (@p69) :args (@t9)) % 0.23/0.49 (step @p71 :rule trans :premises (@p70 @p65)) % 0.23/0.49 (step @p72 :rule refl :args ((tptp.ite @t51 @t1 tptp.zero))) % 0.23/0.49 (step @p73 :rule refl :args (@t51)) % 0.23/0.49 (step @p74 :rule cong :premises (@p73 @p5 @p30) :args (@t52)) % 0.23/0.49 (step @p75 :rule trans :premises (@p74 @p72)) % 0.23/0.49 (step @p76 :rule refl :args (@t53)) % 0.23/0.49 (step @p77 :rule ho_cong :premises (@p76 @p5)) % 0.23/0.49 (step @p78 :rule ho_cong :premises (@p77 @p30)) % 0.23/0.49 (step @p79 :rule cong :premises (@p78 @p75) :args ((= (_ (_ @t53 @t33) tptp.zero) @t52))) % 0.23/0.49 (step @p80 :rule symm :premises (@p79)) % 0.23/0.49 (step @p81 :rule refl :args (@t54)) % 0.23/0.49 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.23/0.49 (step @p83 :rule ho_cong :premises 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:premises (@p93 @p25) :args (@t120)) % 0.23/0.49 (step @p355 :rule cong :premises (@p354 @p353 @p352) :args ((ite @t120 @t152 @t151))) % 0.23/0.49 (step @p356 :rule eq-symm :args (@t122 @t1)) % 0.23/0.49 (step @p357 :rule eq-symm :args (@t122 tptp.zero)) % 0.23/0.49 (step @p358 :rule refl :args (@t120)) % 0.23/0.49 (step @p359 :rule cong :premises (@p358 @p357 @p356) :args ((ite @t120 (= @t122 tptp.zero) (= @t122 @t1)))) % 0.23/0.49 (step @p360 :rule trans :premises (@p359 @p355)) % 0.23/0.49 (step @p361 :rule cong :premises (@p308 @p94) :args (@t153)) % 0.23/0.49 (step @p362 :rule cong :premises (@p308 @p93) :args (@t154)) % 0.23/0.49 (step @p363 :rule cong :premises (@p358 @p362 @p361) :args ((ite @t120 @t154 @t153))) % 0.23/0.49 (step @p364 :rule ite_eq :args (@t121)) % 0.23/0.49 (step @p365 :rule eq_resolve :premises (@p364 @p363)) % 0.23/0.49 (step @p366 :rule eq_resolve :premises (@p365 @p360)) % 0.23/0.49 (step @p367 :rule ite_elim2 :premises (@p366)) % 0.23/0.49 (step @p368 :rule chain_m_resolution :premises (@p367 @p350) :args (@t148 @t101 (@list @t114))) % 0.23/0.49 (step @p369 :rule ite-true-cond :args (@t146 (= @t117 @t155))) % 0.23/0.49 (step @p370 :rule eq-symm :args (@t155 @t117)) % 0.23/0.49 (step @p371 :rule refl :args (@t117)) % 0.23/0.49 (step @p372 :rule eq-refl :args (@t115)) % 0.23/0.49 (step @p373 :rule skolem_intro :args (@t155)) % 0.23/0.49 (step @p374 :rule refl :args (@t115)) % 0.23/0.49 (step @p375 :rule cong :premises (@p374 @p373) :args ((= @t115 @t155))) % 0.23/0.49 (step @p376 :rule trans :premises (@p375 @p372)) % 0.23/0.49 (step @p377 :rule true_elim :premises (@p376)) % 0.23/0.49 (step @p378 :rule cong :premises (@p377 @p371) :args (@t156)) % 0.23/0.49 (step @p379 :rule trans :premises (@p378 @p370)) % 0.23/0.49 (step @p380 :rule refl :args (@t146)) % 0.23/0.49 (step @p381 :rule eq-refl :args (@t33)) % 0.23/0.49 (step @p382 :rule cong :premises (@p25 @p309) :args (@t38)) % 0.23/0.49 (step @p383 :rule trans :premises (@p382 @p381)) % 0.23/0.49 (step @p384 :rule cong :premises (@p383 @p380 @p379) :args ((ite @t38 @t146 @t156))) % 0.23/0.49 (step @p385 :rule trans :premises (@p384 @p369)) % 0.23/0.49 (step @p386 :rule eq-symm :args (@t117 @t115)) % 0.23/0.49 (step @p387 :rule eq-symm :args (@t117 tptp.zero)) % 0.23/0.49 (step @p388 :rule cong :premises (@p322 @p387 @p386) :args ((ite @t38 (= @t117 tptp.zero) (= @t117 @t115)))) % 0.23/0.49 (step @p389 :rule trans :premises (@p388 @p385)) % 0.23/0.49 (step @p390 :rule cong :premises (@p300 @p374) :args (@t157)) % 0.23/0.49 (step @p391 :rule cong :premises (@p300 @p93) :args (@t158)) % 0.23/0.49 (step @p392 :rule cong :premises (@p322 @p391 @p390) :args ((ite @t38 @t158 @t157))) % 0.23/0.49 (step @p393 :rule ite_eq :args (@t116)) % 0.23/0.49 (step @p394 :rule eq_resolve :premises (@p393 @p392)) % 0.23/0.49 (step @p395 :rule eq_resolve :premises (@p394 @p389)) % 0.23/0.49 (step @p396 :rule cnf_or_pos :args (@t150)) % 0.23/0.49 (step @p397 :rule reordering :premises (@p396) :args ((or @t145 @t147 @t149 (not @t150)))) % 0.23/0.49 (step @p398 :rule chain_m_resolution :premises (@p397 @p395 @p368 @p349) :args (@t145 (@list false false false) (@list @t146 @t148 @t150))) % 0.23/0.49 (assume-push @p416 @t100) % 0.23/0.49 (assume-push @p417 @t107) % 0.23/0.49 (assume-push @p418 @t108) % 0.23/0.49 (step @p402 :rule symm :premises (@p242)) % 0.23/0.49 (step @p403 :rule symm :premises (@p269)) % 0.23/0.49 (step @p404 :rule trans :premises (@p290 @p403 @p402)) % 0.23/0.49 (step-pop @p419 :rule scope :premises (@p404)) % 0.23/0.49 (step-pop @p420 :rule scope :premises (@p419)) % 0.23/0.49 (step-pop @p421 :rule scope :premises (@p420)) % 0.23/0.49 (step @p405 :rule process_scope :premises (@p421) :args (@t97)) % 0.23/0.49 (step @p409 :rule implies_elim :premises (@p405)) % 0.23/0.49 (step @p410 :rule cnf_and_neg :args (@t159)) % 0.23/0.49 (step @p411 :rule resolution :premises (@p410 @p409) :args (true @t159)) % 0.23/0.49 (step @p412 :rule reordering :premises (@p411) :args ((or @t97 (not @t100) (not @t107) (not @t108)))) % 0.23/0.49 (step @p413 false :rule chain_m_resolution :premises (@p412 @p398 @p290 @p269 @p242) :args (false (@list true false false false) (@list @t97 @t108 @t107 @t100))) % 0.23/0.49 ) % 0.23/0.49 % SZS output end Proof % 0.23/0.49 % cvc5 exiting %------------------------------------------------------------------------------