%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN025^1 : 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 : n015.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 0.54s 0.74s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN025^1 : TPTP v9.2.1. Released v6.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.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 12:37:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.49 %----Proving TH0 % 0.54/0.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.54/0.74 % SZS status Theorem % 0.54/0.74 % SZS output start Proof % 0.54/0.74 ( % 0.54/0.74 (declare-sort $$unsorted 0) % 0.54/0.74 (declare-const tptp.ite (-> Bool $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.zero $$unsorted) % 0.54/0.74 (define @t1 () (_ tptp.s tptp.zero)) % 0.54/0.74 (define @t2 () (_ tptp.s @t1)) % 0.54/0.74 (define @t3 () (@var "H" (-> $$unsorted $$unsorted))) % 0.54/0.74 (define @t4 () (_ @t3 @t2)) % 0.54/0.74 (define @t5 () (_ @t3 @t1)) % 0.54/0.74 (define @t6 () (_ @t3 tptp.zero)) % 0.54/0.74 (define @t7 () (and (= @t6 @t1) (= @t5 tptp.zero) (= @t4 @t1))) % 0.54/0.74 (define @t8 () (@list @t3)) % 0.54/0.74 (define @t9 () (exists @t8 @t7)) % 0.54/0.74 (define @t10 () (@var "X" $$unsorted)) % 0.54/0.74 (define @t11 () (_ tptp.s @t10)) % 0.54/0.74 (define @t12 () (not (= @t11 @t10))) % 0.54/0.74 (define @t13 () (@list @t10)) % 0.54/0.74 (define @t14 () (forall @t13 @t12)) % 0.54/0.74 (define @t15 () (@var "V" $$unsorted)) % 0.54/0.74 (define @t16 () (@var "U" $$unsorted)) % 0.54/0.74 (define @t17 () (@var "X100" Bool)) % 0.54/0.74 (define @t18 () (_ (_ (_ tptp.ite @t17) @t16) @t15)) % 0.54/0.74 (define @t19 () (not @t17)) % 0.54/0.74 (define @t20 () (=> @t19 (= @t18 @t15))) % 0.54/0.74 (define @t21 () (@list @t17 @t16 @t15)) % 0.54/0.74 (define @t22 () (forall @t21 @t20)) % 0.54/0.74 (define @t23 () (=> @t17 (= @t18 @t16))) % 0.54/0.74 (define @t24 () (forall @t21 @t23)) % 0.54/0.74 (define @t25 () (and @t24 @t22 @t14)) % 0.54/0.74 (define @t26 () (=> @t25 @t9)) % 0.54/0.74 (define @t27 () (not @t26)) % 0.54/0.74 (define @t28 () (tptp.s tptp.zero)) % 0.54/0.74 (define @t29 () (_ tptp.s @t28)) % 0.54/0.74 (define @t30 () (tptp.s @t28)) % 0.54/0.74 (define @t31 () (= @t29 @t30)) % 0.54/0.74 (define @t32 () (ite @t31 @t1 @t29)) % 0.54/0.74 (define @t33 () (@purify @t32)) % 0.54/0.74 (define @t34 () (= @t29 @t33)) % 0.54/0.74 (define @t35 () (= @t1 @t28)) % 0.54/0.74 (define @t36 () (= @t1 @t33)) % 0.54/0.74 (define @t37 () (= @t32 @t29)) % 0.54/0.74 (define @t38 () (= @t32 @t1)) % 0.54/0.74 (define @t39 () (_ @t3 @t30)) % 0.54/0.74 (define @t40 () (= @t1 @t4)) % 0.54/0.74 (define @t41 () (not @t40)) % 0.54/0.74 (define @t42 () (_ @t3 @t28)) % 0.54/0.74 (define @t43 () (= tptp.zero @t5)) % 0.54/0.74 (define @t44 () (not @t43)) % 0.54/0.74 (define @t45 () (_ @t3 tptp.zero)) % 0.54/0.74 (define @t46 () (= @t1 @t6)) % 0.54/0.74 (define @t47 () (not @t46)) % 0.54/0.74 (define @t48 () (or @t47 @t44 @t41)) % 0.54/0.74 (define @t49 () (and @t46 @t43 @t40)) % 0.54/0.74 (define @t50 () (forall @t8 (not @t49))) % 0.54/0.74 (define @t51 () (not @t50)) % 0.54/0.74 (define @t52 () (tptp.s @t10)) % 0.54/0.74 (define @t53 () (= @t10 @t11)) % 0.54/0.74 (define @t54 () (not @t53)) % 0.54/0.74 (define @t55 () (= @t15 (tptp.ite false @t16 @t15))) % 0.54/0.74 (define @t56 () (or false @t55)) % 0.54/0.74 (define @t57 () (@list @t16 @t15)) % 0.54/0.74 (define @t58 () (tptp.ite @t17 @t16 @t15)) % 0.54/0.74 (define @t59 () (= @t15 @t58)) % 0.54/0.74 (define @t60 () (@list @t17)) % 0.54/0.74 (define @t61 () (not @t19)) % 0.54/0.74 (define @t62 () (or @t17 @t17 @t59)) % 0.54/0.74 (define @t63 () (or @t17 @t59)) % 0.54/0.74 (define @t64 () (forall @t60 @t63)) % 0.54/0.74 (define @t65 () (forall @t57 @t64)) % 0.54/0.74 (define @t66 () (@list @t16 @t15 @t17)) % 0.54/0.74 (define @t67 () (forall @t66 @t63)) % 0.54/0.74 (define @t68 () (= @t15 @t18)) % 0.54/0.74 (define @t69 () (or @t17 @t68)) % 0.54/0.74 (define @t70 () (= @t16 (tptp.ite true @t16 @t15))) % 0.54/0.74 (define @t71 () (not true)) % 0.54/0.74 (define @t72 () (or @t71 @t70)) % 0.54/0.74 (define @t73 () (= @t16 @t58)) % 0.54/0.74 (define @t74 () (or @t19 @t19 @t73)) % 0.54/0.74 (define @t75 () (or @t19 @t73)) % 0.54/0.74 (define @t76 () (forall @t60 @t75)) % 0.54/0.74 (define @t77 () (forall @t57 @t76)) % 0.54/0.74 (define @t78 () (forall @t66 @t75)) % 0.54/0.74 (define @t79 () (= @t16 @t18)) % 0.54/0.74 (define @t80 () (or @t19 @t79)) % 0.54/0.74 (define @t81 () (= tptp.zero @t30)) % 0.54/0.74 (define @t82 () (ite @t81 @t1 @t32)) % 0.54/0.74 (define @t83 () (= @t1 @t30)) % 0.54/0.74 (define @t84 () (ite @t83 tptp.zero @t82)) % 0.54/0.74 (define @t85 () (@purify @t84)) % 0.54/0.74 (define @t86 () (= @t28 @t84)) % 0.54/0.74 (define @t87 () (not @t86)) % 0.54/0.74 (define @t88 () (= tptp.zero @t28)) % 0.54/0.74 (define @t89 () (ite @t88 @t1 (ite (= @t28 @t29) @t1 @t29))) % 0.54/0.74 (define @t90 () (ite @t35 tptp.zero @t89)) % 0.54/0.74 (define @t91 () (@purify @t90)) % 0.54/0.74 (define @t92 () (= tptp.zero @t90)) % 0.54/0.74 (define @t93 () (not @t92)) % 0.54/0.74 (define @t94 () (= tptp.zero @t1)) % 0.54/0.74 (define @t95 () (ite @t94 tptp.zero @t1)) % 0.54/0.74 (define @t96 () (@purify @t95)) % 0.54/0.74 (define @t97 () (= @t28 @t95)) % 0.54/0.74 (define @t98 () (not @t97)) % 0.54/0.74 (define @t99 () (or @t98 @t93 @t87)) % 0.54/0.74 (define @t100 () (forall @t8 (or (not (= @t28 @t45)) (not (= tptp.zero @t42)) (not (= @t28 @t39))))) % 0.54/0.74 (define @t101 () (@var "BOUND_VARIABLE_36179" $$unsorted)) % 0.54/0.74 (define @t102 () (lambda (@list @t101) (ite (= @t1 @t101) tptp.zero (ite (= tptp.zero @t101) @t1 (ite (= @t29 @t101) @t1 @t29))))) % 0.54/0.74 (define @t103 () (_ @t102 @t30)) % 0.54/0.74 (define @t104 () (= @t28 @t103)) % 0.54/0.74 (define @t105 () (not @t104)) % 0.54/0.74 (define @t106 () (ite (= @t29 @t28) @t1 @t29)) % 0.54/0.74 (define @t107 () (ite @t88 @t1 @t106)) % 0.54/0.74 (define @t108 () (ite @t35 tptp.zero @t107)) % 0.54/0.74 (define @t109 () (_ @t102 @t28)) % 0.54/0.74 (define @t110 () (= tptp.zero @t109)) % 0.54/0.74 (define @t111 () (not @t110)) % 0.54/0.74 (define @t112 () (ite (= @t29 tptp.zero) @t1 @t29)) % 0.54/0.74 (define @t113 () (ite (= tptp.zero tptp.zero) @t1 @t112)) % 0.54/0.74 (define @t114 () (ite (= @t1 tptp.zero) tptp.zero @t113)) % 0.54/0.74 (define @t115 () (_ @t102 tptp.zero)) % 0.54/0.74 (define @t116 () (= @t28 @t115)) % 0.54/0.74 (define @t117 () (not @t116)) % 0.54/0.74 (define @t118 () (or @t117 @t111 @t105)) % 0.54/0.74 (define @t119 () (not (= @t28 @t85))) % 0.54/0.74 (define @t120 () (= tptp.zero @t91)) % 0.54/0.74 (define @t121 () (not @t120)) % 0.54/0.74 (define @t122 () (= @t28 @t96)) % 0.54/0.74 (define @t123 () (not @t122)) % 0.54/0.74 (define @t124 () (or @t123 @t121 @t119)) % 0.54/0.74 (define @t125 () (= @t1 @t96)) % 0.54/0.74 (define @t126 () (= tptp.zero @t96)) % 0.54/0.74 (define @t127 () (= @t95 @t1)) % 0.54/0.74 (define @t128 () (= @t95 tptp.zero)) % 0.54/0.74 (define @t129 () (@list true)) % 0.54/0.74 (define @t130 () (@purify @t89)) % 0.54/0.74 (define @t131 () (= @t89 @t91)) % 0.54/0.74 (define @t132 () (= @t90 @t89)) % 0.54/0.74 (define @t133 () (= @t90 tptp.zero)) % 0.54/0.74 (define @t134 () (@purify @t82)) % 0.54/0.74 (define @t135 () (= @t82 @t85)) % 0.54/0.74 (define @t136 () (= tptp.zero @t85)) % 0.54/0.74 (define @t137 () (= @t84 @t82)) % 0.54/0.74 (define @t138 () (= @t84 tptp.zero)) % 0.54/0.74 (define @t139 () (= @t28 @t134)) % 0.54/0.74 (define @t140 () (= @t32 @t134)) % 0.54/0.74 (define @t141 () (= @t1 @t134)) % 0.54/0.74 (define @t142 () (= @t82 @t32)) % 0.54/0.74 (define @t143 () (= @t82 @t1)) % 0.54/0.74 (assume @p1 @t27) % 0.54/0.74 (assume @p2 true) % 0.54/0.74 (step @p3 :rule evaluate :args ((= false true))) % 0.54/0.74 (step @p4 :rule skolem_intro :args ((@purify @t28))) % 0.54/0.74 (step @p5 :rule symm :premises (@p4)) % 0.54/0.74 (step @p6 :rule ite-true-cond :args ((= @t28 @t33) (= @t30 @t33))) % 0.54/0.74 (step @p7 :rule refl :args (@t33)) % 0.54/0.74 (step @p8 :rule refl :args ((tptp.s @t1))) % 0.54/0.74 (step @p9 :rule refl :args (@t28)) % 0.54/0.74 (step @p10 :rule cong :premises (@p9) :args (@t30)) % 0.54/0.74 (step @p11 :rule trans :premises (@p10 @p8)) % 0.54/0.74 (step @p12 :rule refl :args (tptp.s)) % 0.54/0.74 (step @p13 :rule ho_cong :premises (@p12 @p9)) % 0.54/0.74 (step @p14 :rule cong :premises (@p13 @p11) :args (@t31)) % 0.54/0.74 (step @p15 :rule symm :premises (@p14)) % 0.54/0.74 (step @p16 :rule refl :args (@t2)) % 0.54/0.74 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.54/0.74 (step @p18 :rule cong :premises (@p17 @p7) :args (@t34)) % 0.54/0.74 (step @p19 :rule refl :args (@t1)) % 0.54/0.74 (step @p20 :rule cong :premises (@p19 @p9) :args (@t35)) % 0.54/0.74 (step @p21 :rule symm :premises (@p20)) % 0.54/0.74 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.54/0.74 (step @p23 :rule cong :premises (@p22 @p7) :args (@t36)) % 0.54/0.74 (step @p24 :rule eq-refl :args (@t30)) % 0.54/0.74 (step @p25 :rule refl :args (@t30)) % 0.54/0.74 (step @p26 :rule cong :premises (@p17 @p25) :args (@t31)) % 0.54/0.74 (step @p27 :rule trans :premises (@p26 @p24)) % 0.54/0.74 (step @p28 :rule cong :premises (@p27 @p23 @p18) :args ((ite @t31 @t36 @t34))) % 0.54/0.74 (step @p29 :rule trans :premises (@p28 @p6)) % 0.54/0.74 (step @p30 :rule eq-symm :args (@t33 @t29)) % 0.54/0.74 (step @p31 :rule eq-symm :args (@t33 @t1)) % 0.54/0.74 (step @p32 :rule refl :args (@t31)) % 0.54/0.74 (step @p33 :rule cong :premises (@p32 @p31 @p30) :args ((ite @t31 (= @t33 @t1) (= @t33 @t29)))) % 0.54/0.74 (step @p34 :rule trans :premises (@p33 @p29)) % 0.54/0.74 (step @p35 :rule refl :args (@t29)) % 0.54/0.74 (step @p36 :rule eq-refl :args (@t32)) % 0.54/0.74 (step @p37 :rule skolem_intro :args (@t33)) % 0.54/0.74 (step @p38 :rule refl :args (@t32)) % 0.54/0.74 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t32 @t33))) % 0.54/0.74 (step @p40 :rule trans :premises (@p39 @p36)) % 0.54/0.74 (step @p41 :rule true_elim :premises (@p40)) % 0.54/0.74 (step @p42 :rule cong :premises (@p41 @p35) :args (@t37)) % 0.54/0.74 (step @p43 :rule refl :args (@t1)) % 0.54/0.74 (step @p44 :rule cong :premises (@p41 @p43) :args (@t38)) % 0.54/0.74 (step @p45 :rule cong :premises (@p32 @p44 @p42) :args ((ite @t31 @t38 @t37))) % 0.54/0.74 (step @p46 :rule ite_eq :args (@t32)) % 0.54/0.74 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.54/0.74 (step @p48 :rule eq_resolve :premises (@p47 @p34)) % 0.54/0.74 (step @p49 :rule symm :premises (@p48)) % 0.54/0.74 (step @p50 :rule refl :args ((_ @t3 @t2))) % 0.54/0.74 (step @p51 :rule cong :premises (@p11) :args (@t39)) % 0.54/0.74 (step @p52 :rule trans :premises (@p51 @p50)) % 0.54/0.74 (step @p53 :rule refl :args (@t3)) % 0.54/0.74 (step @p54 :rule ho_cong :premises (@p53 @p11)) % 0.54/0.74 (step @p55 :rule cong :premises (@p54 @p52) :args ((= (_ @t3 @t30) @t39))) % 0.54/0.74 (step @p56 :rule symm :premises (@p55)) % 0.54/0.74 (step @p57 :rule refl :args (@t4)) % 0.54/0.74 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.54/0.74 (step @p59 :rule eq_resolve :premises (@p16 @p15)) % 0.54/0.74 (step @p60 :rule eq_resolve :premises (@p19 @p21)) % 0.54/0.74 (step @p61 :rule ho_cong :premises (@p12 @p60)) % 0.54/0.74 (step @p62 :rule trans :premises (@p61 @p59)) % 0.54/0.74 (step @p63 :rule ho_cong :premises (@p53 @p62)) % 0.54/0.74 (step @p64 :rule trans :premises (@p63 @p58)) % 0.54/0.74 (step @p65 :rule cong :premises (@p60 @p64) :args (@t40)) % 0.54/0.74 (step @p66 :rule cong :premises (@p65) :args (@t41)) % 0.54/0.74 (step @p67 :rule refl :args ((_ @t3 @t1))) % 0.54/0.74 (step @p68 :rule cong :premises (@p9) :args (@t42)) % 0.54/0.74 (step @p69 :rule trans :premises (@p68 @p67)) % 0.54/0.74 (step @p70 :rule ho_cong :premises (@p53 @p9)) % 0.54/0.74 (step @p71 :rule cong :premises (@p70 @p69) :args ((= (_ @t3 @t28) @t42))) % 0.54/0.74 (step @p72 :rule symm :premises (@p71)) % 0.54/0.74 (step @p73 :rule refl :args (@t5)) % 0.54/0.74 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.54/0.74 (step @p75 :rule ho_cong :premises (@p53 @p60)) % 0.54/0.74 (step @p76 :rule trans :premises (@p75 @p74)) % 0.54/0.74 (step @p77 :rule refl :args (tptp.zero)) % 0.54/0.74 (step @p78 :rule cong :premises (@p77 @p76) :args (@t43)) % 0.54/0.74 (step @p79 :rule cong :premises (@p78) :args (@t44)) % 0.54/0.74 (step @p80 :rule refl :args (@t45)) % 0.54/0.74 (step @p81 :rule refl :args (@t6)) % 0.54/0.74 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t6 @t45))) % 0.54/0.74 (step @p83 :rule symm :premises (@p82)) % 0.54/0.74 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.54/0.74 (step @p85 :rule cong :premises (@p60 @p84) :args (@t46)) % 0.54/0.74 (step @p86 :rule cong :premises (@p85) :args (@t47)) % 0.54/0.74 (step @p87 :rule nary_cong :premises (@p86 @p79 @p66) :args (@t48)) % 0.54/0.74 (step @p88 :rule cong :premises (@p87) :args ((forall @t8 @t48))) % 0.54/0.74 (step @p89 :rule aci_norm :args ((= (or @t47 (or @t44 @t41)) @t48))) % 0.54/0.74 (step @p90 :rule bool-and-de-morgan :args (@t43 @t40 true)) % 0.54/0.74 (step @p91 :rule refl :args (@t47)) % 0.54/0.74 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t47 (not (and @t43 @t40))))) % 0.54/0.74 (step @p93 :rule bool-and-de-morgan :args (@t46 @t43 (and @t40))) % 0.54/0.74 (step @p94 :rule trans :premises (@p93 @p92)) % 0.54/0.74 (step @p95 :rule trans :premises (@p94 @p89)) % 0.54/0.74 (step @p96 :rule cong :premises (@p95) :args (@t50)) % 0.54/0.74 (step @p97 :rule trans :premises (@p96 @p88)) % 0.54/0.74 (step @p98 :rule cong :premises (@p97) :args (@t51)) % 0.54/0.74 (step @p99 :rule exists-elim :args ((= (exists @t8 @t49) @t51))) % 0.54/0.74 (step @p100 :rule trans :premises (@p99 @p98)) % 0.54/0.74 (step @p101 :rule eq-symm :args (@t4 @t1)) % 0.54/0.74 (step @p102 :rule eq-symm :args (@t5 tptp.zero)) % 0.54/0.74 (step @p103 :rule eq-symm :args (@t6 @t1)) % 0.54/0.74 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t7)) % 0.54/0.74 (step @p105 :rule cong :premises (@p104) :args (@t9)) % 0.54/0.74 (step @p106 :rule trans :premises (@p105 @p100)) % 0.54/0.74 (step @p107 :rule refl :args (@t52)) % 0.54/0.74 (step @p108 :rule refl :args (@t11)) % 0.54/0.74 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t11 @t52))) % 0.54/0.74 (step @p110 :rule symm :premises (@p109)) % 0.54/0.74 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 0.54/0.74 (step @p112 :rule refl :args (@t10)) % 0.54/0.74 (step @p113 :rule cong :premises (@p112 @p111) :args (@t53)) % 0.54/0.74 (step @p114 :rule cong :premises (@p113) :args (@t54)) % 0.54/0.74 (step @p115 :rule cong 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(step @p338 :rule cong :premises (@p337 @p336 @p335) :args ((ite @t83 (= @t85 tptp.zero) (= @t85 @t82)))) % 0.54/0.74 (step @p339 :rule trans :premises (@p338 @p334)) % 0.54/0.74 (step @p340 :rule cong :premises (@p210 @p326) :args (@t137)) % 0.54/0.74 (step @p341 :rule cong :premises (@p210 @p220) :args (@t138)) % 0.54/0.74 (step @p342 :rule cong :premises (@p337 @p341 @p340) :args ((ite @t83 @t138 @t137))) % 0.54/0.74 (step @p343 :rule ite_eq :args (@t84)) % 0.54/0.74 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.54/0.74 (step @p345 :rule eq_resolve :premises (@p344 @p339)) % 0.54/0.74 (step @p346 :rule ite_elim2 :premises (@p345)) % 0.54/0.74 (step @p347 :rule chain_m_resolution :premises (@p346 @p321) :args ((= @t85 @t134) @t129 (@list (= @t28 @t30)))) % 0.54/0.74 (step @p348 :rule symm :premises (@p347)) % 0.54/0.74 (step @p349 :rule cong :premises (@p211 @p348) :args (@t139)) % 0.54/0.74 (step @p350 :rule trans :premises (@p349 @p320)) % 0.54/0.74 (step @p351 :rule false_elim :premises (@p350)) % 0.54/0.74 (step @p352 :rule eq-symm :args (@t33 @t134)) % 0.54/0.74 (step @p353 :rule refl :args (@t134)) % 0.54/0.74 (step @p354 :rule cong :premises (@p41 @p353) :args (@t140)) % 0.54/0.74 (step @p355 :rule trans :premises (@p354 @p352)) % 0.54/0.74 (step @p356 :rule cong :premises (@p22 @p353) :args (@t141)) % 0.54/0.74 (step @p357 :rule refl :args (@t81)) % 0.54/0.74 (step @p358 :rule cong :premises (@p357 @p356 @p355) :args ((ite @t81 @t141 @t140))) % 0.54/0.74 (step @p359 :rule eq-symm :args (@t134 @t32)) % 0.54/0.74 (step @p360 :rule eq-symm :args (@t134 @t1)) % 0.54/0.74 (step @p361 :rule cong :premises (@p357 @p360 @p359) :args ((ite @t81 (= @t134 @t1) (= @t134 @t32)))) % 0.54/0.74 (step @p362 :rule trans :premises (@p361 @p358)) % 0.54/0.74 (step @p363 :rule cong :premises (@p329 @p38) :args (@t142)) % 0.54/0.74 (step @p364 :rule cong :premises (@p329 @p43) :args (@t143)) % 0.54/0.74 (step @p365 :rule cong :premises (@p357 @p364 @p363) :args ((ite @t81 @t143 @t142))) % 0.54/0.74 (step @p366 :rule ite_eq :args (@t82)) % 0.54/0.74 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 0.54/0.74 (step @p368 :rule eq_resolve :premises (@p367 @p362)) % 0.54/0.74 (step @p369 :rule ite_elim1 :premises (@p368)) % 0.54/0.74 (step @p370 :rule chain_m_resolution :premises (@p369 @p351) :args ((not @t81) @t129 (@list @t139))) % 0.54/0.74 (step @p371 :rule ite_elim2 :premises (@p368)) % 0.54/0.74 (step @p372 :rule chain_m_resolution :premises (@p371 @p370) :args ((= @t134 @t33) @t129 (@list @t81))) % 0.54/0.74 (step @p373 :rule trans :premises (@p347 @p372 @p49 @p5)) % 0.54/0.74 (step @p374 :rule symm :premises (@p373)) % 0.54/0.74 (step @p375 :rule trans :premises (@p5 @p374)) % 0.54/0.74 (step @p376 :rule true_intro :premises (@p375)) % 0.54/0.74 (step @p377 :rule symm :premises (@p320)) % 0.54/0.74 (step @p378 :rule trans :premises (@p377 @p376)) % 0.54/0.74 (step @p379 false :rule eq_resolve :premises (@p378 @p3)) % 0.54/0.74 ) % 0.54/0.74 % SZS output end Proof % 0.54/0.75 % cvc5 exiting %------------------------------------------------------------------------------