%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN025^2 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 0.50s 0.74s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN025^2 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 12:37:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.50/0.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.50/0.74 % SZS status Theorem % 0.50/0.74 % SZS output start Proof % 0.50/0.74 ( % 0.50/0.74 (declare-sort $$unsorted 0) % 0.50/0.74 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.50/0.74 (declare-const tptp.ite (-> Bool $$unsorted $$unsorted $$unsorted)) % 0.50/0.74 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.50/0.74 (declare-const tptp.zero $$unsorted) % 0.50/0.74 (define @t1 () (_ tptp.s tptp.zero)) % 0.50/0.74 (define @t2 () (_ tptp.s @t1)) % 0.50/0.74 (define @t3 () (@var "H" (-> $$unsorted $$unsorted))) % 0.50/0.74 (define @t4 () (_ @t3 @t2)) % 0.50/0.74 (define @t5 () (_ @t3 @t1)) % 0.50/0.74 (define @t6 () (_ @t3 tptp.zero)) % 0.50/0.74 (define @t7 () (and (= @t6 @t1) (= @t5 tptp.zero) (= @t4 @t1))) % 0.50/0.74 (define @t8 () (@list @t3)) % 0.50/0.74 (define @t9 () (exists @t8 @t7)) % 0.50/0.74 (define @t10 () (@var "X" $$unsorted)) % 0.50/0.74 (define @t11 () (= @t10 @t1)) % 0.50/0.74 (define @t12 () (_ (_ (_ tptp.ite @t11) tptp.zero) @t1)) % 0.50/0.74 (define @t13 () (_ tptp.h @t10)) % 0.50/0.74 (define @t14 () (= @t13 @t12)) % 0.50/0.74 (define @t15 () (@list @t10)) % 0.50/0.74 (define @t16 () (forall @t15 @t14)) % 0.50/0.74 (define @t17 () (_ tptp.s @t10)) % 0.50/0.74 (define @t18 () (not (= @t17 @t10))) % 0.50/0.74 (define @t19 () (forall @t15 @t18)) % 0.50/0.74 (define @t20 () (@var "V" $$unsorted)) % 0.50/0.74 (define @t21 () (@var "U" $$unsorted)) % 0.50/0.74 (define @t22 () (@var "X100" Bool)) % 0.50/0.74 (define @t23 () (_ (_ (_ tptp.ite @t22) @t21) @t20)) % 0.50/0.74 (define @t24 () (not @t22)) % 0.50/0.74 (define @t25 () (=> @t24 (= @t23 @t20))) % 0.50/0.74 (define @t26 () (@list @t22 @t21 @t20)) % 0.50/0.74 (define @t27 () (forall @t26 @t25)) % 0.50/0.74 (define @t28 () (=> @t22 (= @t23 @t21))) % 0.50/0.74 (define @t29 () (forall @t26 @t28)) % 0.50/0.74 (define @t30 () (and @t29 @t27 @t19 @t16)) % 0.50/0.74 (define @t31 () (=> @t30 @t9)) % 0.50/0.74 (define @t32 () (not @t31)) % 0.50/0.74 (define @t33 () (tptp.s tptp.zero)) % 0.50/0.74 (define @t34 () (_ tptp.s @t33)) % 0.50/0.74 (define @t35 () (tptp.s @t33)) % 0.50/0.74 (define @t36 () (= @t34 @t35)) % 0.50/0.74 (define @t37 () (ite @t36 @t1 @t34)) % 0.50/0.74 (define @t38 () (@purify @t37)) % 0.50/0.74 (define @t39 () (= @t34 @t38)) % 0.50/0.74 (define @t40 () (= @t1 @t33)) % 0.50/0.74 (define @t41 () (= @t1 @t38)) % 0.50/0.74 (define @t42 () (= @t37 @t34)) % 0.50/0.74 (define @t43 () (= @t37 @t1)) % 0.50/0.74 (define @t44 () (_ @t3 @t35)) % 0.50/0.74 (define @t45 () (= @t1 @t4)) % 0.50/0.74 (define @t46 () (not @t45)) % 0.50/0.74 (define @t47 () (_ @t3 @t33)) % 0.50/0.74 (define @t48 () (= tptp.zero @t5)) % 0.50/0.74 (define @t49 () (not @t48)) % 0.50/0.74 (define @t50 () (_ @t3 tptp.zero)) % 0.50/0.74 (define @t51 () (= @t1 @t6)) % 0.50/0.74 (define @t52 () (not @t51)) % 0.50/0.74 (define @t53 () (or @t52 @t49 @t46)) % 0.50/0.74 (define @t54 () (and @t51 @t48 @t45)) % 0.50/0.74 (define @t55 () (forall @t8 (not @t54))) % 0.50/0.74 (define @t56 () (not @t55)) % 0.50/0.74 (define @t57 () (= @t10 @t33)) % 0.50/0.74 (define @t58 () (tptp.ite @t57 tptp.zero @t33)) % 0.50/0.74 (define @t59 () (tptp.h @t10)) % 0.50/0.74 (define @t60 () (tptp.s @t10)) % 0.50/0.74 (define @t61 () (= @t10 @t17)) % 0.50/0.74 (define @t62 () (not @t61)) % 0.50/0.74 (define @t63 () (= @t20 (tptp.ite false @t21 @t20))) % 0.50/0.74 (define @t64 () (or false @t63)) % 0.50/0.74 (define @t65 () (@list @t21 @t20)) % 0.50/0.74 (define @t66 () (tptp.ite @t22 @t21 @t20)) % 0.50/0.74 (define @t67 () (= @t20 @t66)) % 0.50/0.74 (define @t68 () (@list @t22)) % 0.50/0.74 (define @t69 () (not @t24)) % 0.50/0.74 (define @t70 () (or @t22 @t22 @t67)) % 0.50/0.74 (define @t71 () (or @t22 @t67)) % 0.50/0.74 (define @t72 () (forall @t68 @t71)) % 0.50/0.74 (define @t73 () (forall @t65 @t72)) % 0.50/0.74 (define @t74 () (@list @t21 @t20 @t22)) % 0.50/0.74 (define @t75 () (forall @t74 @t71)) % 0.50/0.74 (define @t76 () (= @t20 @t23)) % 0.50/0.74 (define @t77 () (or @t22 @t76)) % 0.50/0.74 (define @t78 () (= @t21 (tptp.ite true @t21 @t20))) % 0.50/0.74 (define @t79 () (not true)) % 0.50/0.74 (define @t80 () (or @t79 @t78)) % 0.50/0.74 (define @t81 () (= @t21 @t66)) % 0.50/0.74 (define @t82 () (or @t24 @t24 @t81)) % 0.50/0.74 (define @t83 () (or @t24 @t81)) % 0.50/0.74 (define @t84 () (forall @t68 @t83)) % 0.50/0.74 (define @t85 () (forall @t65 @t84)) % 0.50/0.74 (define @t86 () (forall @t74 @t83)) % 0.50/0.74 (define @t87 () (= @t21 @t23)) % 0.50/0.74 (define @t88 () (or @t24 @t87)) % 0.50/0.74 (define @t89 () (= tptp.zero @t35)) % 0.50/0.74 (define @t90 () (ite @t89 @t1 @t37)) % 0.50/0.74 (define @t91 () (= @t1 @t35)) % 0.50/0.74 (define @t92 () (ite @t91 tptp.zero @t90)) % 0.50/0.74 (define @t93 () (@purify @t92)) % 0.50/0.74 (define @t94 () (= @t33 @t92)) % 0.50/0.74 (define @t95 () (not @t94)) % 0.50/0.74 (define @t96 () (= tptp.zero @t33)) % 0.50/0.74 (define @t97 () (ite @t96 @t1 (ite (= @t33 @t34) @t1 @t34))) % 0.50/0.74 (define @t98 () (ite @t40 tptp.zero @t97)) % 0.50/0.74 (define @t99 () (@purify @t98)) % 0.50/0.74 (define @t100 () (= tptp.zero @t98)) % 0.50/0.74 (define @t101 () (not @t100)) % 0.50/0.74 (define @t102 () (= tptp.zero @t1)) % 0.50/0.74 (define @t103 () (ite @t102 tptp.zero @t1)) % 0.50/0.74 (define @t104 () (@purify @t103)) % 0.50/0.74 (define @t105 () (= @t33 @t103)) % 0.50/0.74 (define @t106 () (not @t105)) % 0.50/0.74 (define @t107 () (or @t106 @t101 @t95)) % 0.50/0.74 (define @t108 () (forall @t8 (or (not (= @t33 @t50)) (not (= tptp.zero @t47)) (not (= @t33 @t44))))) % 0.50/0.74 (define @t109 () (@var "BOUND_VARIABLE_36226" $$unsorted)) % 0.50/0.74 (define @t110 () (lambda (@list @t109) (ite (= @t1 @t109) tptp.zero (ite (= tptp.zero @t109) @t1 (ite (= @t34 @t109) @t1 @t34))))) % 0.50/0.74 (define @t111 () (_ @t110 @t35)) % 0.50/0.74 (define @t112 () (= @t33 @t111)) % 0.50/0.74 (define @t113 () (not @t112)) % 0.50/0.74 (define @t114 () (ite (= @t34 @t33) @t1 @t34)) % 0.50/0.74 (define @t115 () (ite @t96 @t1 @t114)) % 0.50/0.74 (define @t116 () (ite @t40 tptp.zero @t115)) % 0.50/0.74 (define @t117 () (_ @t110 @t33)) % 0.50/0.74 (define @t118 () (= tptp.zero @t117)) % 0.50/0.74 (define @t119 () (not @t118)) % 0.50/0.74 (define @t120 () (ite (= @t34 tptp.zero) @t1 @t34)) % 0.50/0.74 (define @t121 () (ite (= tptp.zero tptp.zero) @t1 @t120)) % 0.50/0.74 (define @t122 () (ite (= @t1 tptp.zero) tptp.zero @t121)) % 0.50/0.74 (define @t123 () (_ @t110 tptp.zero)) % 0.50/0.74 (define @t124 () (= @t33 @t123)) % 0.50/0.74 (define @t125 () (not @t124)) % 0.50/0.74 (define @t126 () (or @t125 @t119 @t113)) % 0.50/0.74 (define @t127 () (not (= @t33 @t93))) % 0.50/0.74 (define @t128 () (= tptp.zero @t99)) % 0.50/0.74 (define @t129 () (not @t128)) % 0.50/0.74 (define @t130 () (= @t33 @t104)) % 0.50/0.74 (define @t131 () (not @t130)) % 0.50/0.74 (define @t132 () (or @t131 @t129 @t127)) % 0.50/0.74 (define @t133 () (= @t1 @t104)) % 0.50/0.74 (define @t134 () (= tptp.zero @t104)) % 0.50/0.74 (define @t135 () (= @t103 @t1)) % 0.50/0.74 (define @t136 () (= @t103 tptp.zero)) % 0.50/0.74 (define @t137 () (@list true)) % 0.50/0.74 (define @t138 () (@purify @t97)) % 0.50/0.74 (define @t139 () (= @t97 @t99)) % 0.50/0.74 (define @t140 () (= @t98 @t97)) % 0.50/0.74 (define @t141 () (= @t98 tptp.zero)) % 0.50/0.74 (define @t142 () (@purify @t90)) % 0.50/0.74 (define @t143 () (= @t90 @t93)) % 0.50/0.74 (define @t144 () (= tptp.zero @t93)) % 0.50/0.74 (define @t145 () (= @t92 @t90)) % 0.50/0.74 (define @t146 () (= @t92 tptp.zero)) % 0.50/0.74 (define @t147 () (= @t33 @t142)) % 0.50/0.74 (define @t148 () (= @t37 @t142)) % 0.50/0.74 (define @t149 () (= @t1 @t142)) % 0.50/0.74 (define @t150 () (= @t90 @t37)) % 0.50/0.74 (define @t151 () (= @t90 @t1)) % 0.50/0.74 (assume @p1 @t32) % 0.50/0.74 (assume @p2 true) % 0.50/0.74 (step @p3 :rule evaluate :args ((= false true))) % 0.50/0.74 (step @p4 :rule skolem_intro :args ((@purify @t33))) % 0.50/0.74 (step @p5 :rule symm :premises (@p4)) % 0.50/0.74 (step @p6 :rule ite-true-cond :args ((= @t33 @t38) (= @t35 @t38))) % 0.50/0.74 (step @p7 :rule refl :args (@t38)) % 0.50/0.74 (step @p8 :rule refl :args ((tptp.s @t1))) % 0.50/0.74 (step @p9 :rule refl :args (@t33)) % 0.50/0.74 (step @p10 :rule cong :premises (@p9) :args (@t35)) % 0.50/0.74 (step @p11 :rule trans :premises (@p10 @p8)) % 0.50/0.74 (step @p12 :rule refl :args (tptp.s)) % 0.50/0.74 (step @p13 :rule ho_cong :premises (@p12 @p9)) % 0.50/0.74 (step @p14 :rule cong :premises (@p13 @p11) :args (@t36)) % 0.50/0.74 (step @p15 :rule symm :premises (@p14)) % 0.50/0.74 (step @p16 :rule refl :args (@t2)) % 0.50/0.74 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.50/0.74 (step @p18 :rule cong :premises (@p17 @p7) :args (@t39)) % 0.50/0.74 (step @p19 :rule refl :args (@t1)) % 0.50/0.74 (step @p20 :rule cong :premises (@p19 @p9) :args (@t40)) % 0.50/0.74 (step @p21 :rule symm :premises (@p20)) % 0.50/0.74 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.50/0.74 (step @p23 :rule cong :premises (@p22 @p7) :args (@t41)) % 0.50/0.74 (step @p24 :rule eq-refl :args (@t35)) % 0.50/0.74 (step @p25 :rule refl :args (@t35)) % 0.50/0.74 (step @p26 :rule cong :premises (@p17 @p25) :args (@t36)) % 0.50/0.74 (step @p27 :rule trans :premises (@p26 @p24)) % 0.50/0.74 (step @p28 :rule cong :premises (@p27 @p23 @p18) :args ((ite @t36 @t41 @t39))) % 0.50/0.74 (step @p29 :rule trans :premises (@p28 @p6)) % 0.50/0.74 (step @p30 :rule eq-symm :args (@t38 @t34)) % 0.50/0.74 (step @p31 :rule eq-symm :args (@t38 @t1)) % 0.50/0.74 (step @p32 :rule refl :args (@t36)) % 0.50/0.74 (step @p33 :rule cong :premises (@p32 @p31 @p30) :args ((ite @t36 (= @t38 @t1) (= @t38 @t34)))) % 0.50/0.74 (step @p34 :rule trans :premises (@p33 @p29)) % 0.50/0.74 (step @p35 :rule refl :args (@t34)) % 0.50/0.74 (step @p36 :rule eq-refl :args (@t37)) % 0.50/0.74 (step @p37 :rule skolem_intro :args (@t38)) % 0.50/0.74 (step @p38 :rule refl :args (@t37)) % 0.50/0.74 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t37 @t38))) % 0.50/0.74 (step @p40 :rule trans :premises (@p39 @p36)) % 0.50/0.74 (step @p41 :rule true_elim :premises (@p40)) % 0.50/0.74 (step @p42 :rule cong :premises (@p41 @p35) :args (@t42)) % 0.50/0.74 (step @p43 :rule refl :args (@t1)) % 0.50/0.74 (step @p44 :rule cong :premises (@p41 @p43) :args (@t43)) % 0.50/0.74 (step @p45 :rule cong :premises (@p32 @p44 @p42) :args ((ite @t36 @t43 @t42))) % 0.50/0.74 (step @p46 :rule ite_eq :args (@t37)) % 0.50/0.74 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.50/0.74 (step @p48 :rule eq_resolve :premises (@p47 @p34)) % 0.50/0.74 (step @p49 :rule symm :premises (@p48)) % 0.50/0.74 (step @p50 :rule refl :args ((_ @t3 @t2))) % 0.50/0.74 (step @p51 :rule cong :premises (@p11) :args (@t44)) % 0.50/0.74 (step @p52 :rule trans :premises (@p51 @p50)) % 0.50/0.74 (step @p53 :rule refl :args (@t3)) % 0.50/0.74 (step @p54 :rule ho_cong :premises (@p53 @p11)) % 0.50/0.74 (step @p55 :rule cong :premises (@p54 @p52) :args ((= (_ @t3 @t35) @t44))) % 0.50/0.74 (step @p56 :rule symm :premises (@p55)) % 0.50/0.74 (step @p57 :rule refl :args (@t4)) % 0.50/0.74 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.50/0.74 (step @p59 :rule eq_resolve :premises (@p16 @p15)) % 0.50/0.74 (step @p60 :rule eq_resolve :premises (@p19 @p21)) % 0.50/0.74 (step @p61 :rule ho_cong :premises (@p12 @p60)) % 0.50/0.74 (step @p62 :rule trans :premises (@p61 @p59)) % 0.50/0.74 (step @p63 :rule ho_cong :premises (@p53 @p62)) % 0.50/0.74 (step @p64 :rule trans :premises (@p63 @p58)) % 0.50/0.74 (step @p65 :rule cong :premises (@p60 @p64) :args (@t45)) % 0.50/0.74 (step @p66 :rule cong :premises (@p65) :args (@t46)) % 0.50/0.74 (step @p67 :rule refl :args ((_ @t3 @t1))) % 0.50/0.74 (step @p68 :rule cong :premises (@p9) :args (@t47)) % 0.50/0.74 (step @p69 :rule trans :premises (@p68 @p67)) % 0.50/0.74 (step @p70 :rule ho_cong :premises (@p53 @p9)) % 0.50/0.74 (step @p71 :rule cong :premises (@p70 @p69) :args ((= (_ @t3 @t33) @t47))) % 0.50/0.74 (step @p72 :rule symm :premises (@p71)) % 0.50/0.74 (step @p73 :rule refl :args (@t5)) % 0.50/0.74 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.50/0.74 (step @p75 :rule ho_cong :premises (@p53 @p60)) % 0.50/0.74 (step @p76 :rule trans :premises (@p75 @p74)) % 0.50/0.74 (step @p77 :rule refl :args (tptp.zero)) % 0.50/0.74 (step @p78 :rule cong :premises (@p77 @p76) :args (@t48)) % 0.50/0.74 (step @p79 :rule cong :premises (@p78) :args (@t49)) % 0.50/0.74 (step @p80 :rule refl :args (@t50)) % 0.50/0.74 (step @p81 :rule refl :args (@t6)) % 0.50/0.74 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t6 @t50))) % 0.50/0.74 (step @p83 :rule symm :premises (@p82)) % 0.50/0.74 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.50/0.74 (step @p85 :rule cong :premises (@p60 @p84) :args (@t51)) % 0.50/0.74 (step @p86 :rule cong :premises (@p85) :args (@t52)) % 0.50/0.74 (step @p87 :rule nary_cong :premises (@p86 @p79 @p66) :args (@t53)) % 0.50/0.74 (step @p88 :rule cong :premises (@p87) :args ((forall @t8 @t53))) % 0.50/0.74 (step @p89 :rule aci_norm :args ((= (or @t52 (or @t49 @t46)) @t53))) % 0.50/0.74 (step @p90 :rule bool-and-de-morgan :args (@t48 @t45 true)) % 0.50/0.74 (step @p91 :rule refl :args (@t52)) % 0.50/0.74 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t52 (not (and @t48 @t45))))) % 0.50/0.74 (step @p93 :rule bool-and-de-morgan :args (@t51 @t48 (and @t45))) % 0.50/0.74 (step @p94 :rule trans :premises (@p93 @p92)) % 0.50/0.74 (step @p95 :rule trans :premises (@p94 @p89)) % 0.50/0.74 (step @p96 :rule cong :premises (@p95) :args (@t55)) % 0.50/0.74 (step @p97 :rule trans :premises (@p96 @p88)) % 0.50/0.74 (step @p98 :rule cong :premises (@p97) :args (@t56)) % 0.50/0.74 (step @p99 :rule exists-elim :args ((= (exists @t8 @t54) @t56))) % 0.50/0.74 (step @p100 :rule trans :premises (@p99 @p98)) % 0.50/0.74 (step @p101 :rule eq-symm :args (@t4 @t1)) % 0.50/0.74 (step @p102 :rule eq-symm :args (@t5 tptp.zero)) % 0.50/0.74 (step @p103 :rule eq-symm :args (@t6 @t1)) % 0.50/0.74 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t7)) % 0.50/0.74 (step @p105 :rule cong :premises (@p104) :args (@t9)) % 0.50/0.74 (step @p106 :rule trans :premises (@p105 @p100)) % 0.50/0.74 (step @p107 :rule refl :args 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:args (@t93 tptp.zero)) % 0.50/0.75 (step @p361 :rule refl :args (@t91)) % 0.50/0.75 (step @p362 :rule cong :premises (@p361 @p360 @p359) :args ((ite @t91 (= @t93 tptp.zero) (= @t93 @t90)))) % 0.50/0.75 (step @p363 :rule trans :premises (@p362 @p358)) % 0.50/0.75 (step @p364 :rule cong :premises (@p234 @p350) :args (@t145)) % 0.50/0.75 (step @p365 :rule cong :premises (@p234 @p244) :args (@t146)) % 0.50/0.75 (step @p366 :rule cong :premises (@p361 @p365 @p364) :args ((ite @t91 @t146 @t145))) % 0.50/0.75 (step @p367 :rule ite_eq :args (@t92)) % 0.50/0.75 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 0.50/0.75 (step @p369 :rule eq_resolve :premises (@p368 @p363)) % 0.50/0.75 (step @p370 :rule ite_elim2 :premises (@p369)) % 0.50/0.75 (step @p371 :rule chain_m_resolution :premises (@p370 @p345) :args ((= @t93 @t142) @t137 (@list (= @t33 @t35)))) % 0.50/0.75 (step @p372 :rule symm :premises (@p371)) % 0.50/0.75 (step @p373 :rule cong :premises (@p235 @p372) :args (@t147)) % 0.50/0.75 (step @p374 :rule trans :premises (@p373 @p344)) % 0.50/0.75 (step @p375 :rule false_elim :premises (@p374)) % 0.50/0.75 (step @p376 :rule eq-symm :args (@t38 @t142)) % 0.50/0.75 (step @p377 :rule refl :args (@t142)) % 0.50/0.75 (step @p378 :rule cong :premises (@p41 @p377) :args (@t148)) % 0.50/0.75 (step @p379 :rule trans :premises (@p378 @p376)) % 0.50/0.75 (step @p380 :rule cong :premises (@p22 @p377) :args (@t149)) % 0.50/0.75 (step @p381 :rule refl :args (@t89)) % 0.50/0.75 (step @p382 :rule cong :premises (@p381 @p380 @p379) :args ((ite @t89 @t149 @t148))) % 0.50/0.75 (step @p383 :rule eq-symm :args (@t142 @t37)) % 0.50/0.75 (step @p384 :rule eq-symm :args (@t142 @t1)) % 0.50/0.75 (step @p385 :rule cong :premises (@p381 @p384 @p383) :args ((ite @t89 (= @t142 @t1) (= @t142 @t37)))) % 0.50/0.75 (step @p386 :rule trans :premises (@p385 @p382)) % 0.50/0.75 (step @p387 :rule cong :premises (@p353 @p38) :args (@t150)) % 0.50/0.75 (step @p388 :rule cong :premises (@p353 @p43) :args (@t151)) % 0.50/0.75 (step @p389 :rule cong :premises (@p381 @p388 @p387) :args ((ite @t89 @t151 @t150))) % 0.50/0.75 (step @p390 :rule ite_eq :args (@t90)) % 0.50/0.75 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 0.50/0.75 (step @p392 :rule eq_resolve :premises (@p391 @p386)) % 0.50/0.75 (step @p393 :rule ite_elim1 :premises (@p392)) % 0.50/0.75 (step @p394 :rule chain_m_resolution :premises (@p393 @p375) :args ((not @t89) @t137 (@list @t147))) % 0.50/0.75 (step @p395 :rule ite_elim2 :premises (@p392)) % 0.50/0.75 (step @p396 :rule chain_m_resolution :premises (@p395 @p394) :args ((= @t142 @t38) @t137 (@list @t89))) % 0.50/0.75 (step @p397 :rule trans :premises (@p371 @p396 @p49 @p5)) % 0.50/0.75 (step @p398 :rule symm :premises (@p397)) % 0.50/0.75 (step @p399 :rule trans :premises (@p5 @p398)) % 0.50/0.75 (step @p400 :rule true_intro :premises (@p399)) % 0.50/0.75 (step @p401 :rule symm :premises (@p344)) % 0.50/0.75 (step @p402 :rule trans :premises (@p401 @p400)) % 0.50/0.75 (step @p403 false :rule eq_resolve :premises (@p402 @p3)) % 0.50/0.75 ) % 0.50/0.75 % SZS output end Proof % 0.50/0.75 % cvc5 exiting %------------------------------------------------------------------------------