%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU741^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:52:59 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU741^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 17:48:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TH0 % 0.39/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.binintersectER Bool) % 0.39/0.60 (declare-const tptp.binunionIL Bool) % 0.39/0.60 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.60 (define @t3 () (_ (_ tptp.binunion @t2) @t1)) % 0.39/0.60 (define @t4 () (@var "Xx" $$unsorted)) % 0.39/0.60 (define @t5 () (_ tptp.in @t4)) % 0.39/0.60 (define @t6 () (_ @t5 @t3)) % 0.39/0.60 (define @t7 () (_ @t5 @t2)) % 0.39/0.60 (define @t8 () (@list @t2 @t1 @t4)) % 0.39/0.60 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.39/0.60 (define @t10 () (= tptp.binunionIL @t9)) % 0.39/0.60 (define @t11 () (_ @t5 @t1)) % 0.39/0.60 (define @t12 () (_ (_ tptp.binintersect @t2) @t1)) % 0.39/0.60 (define @t13 () (_ @t5 @t12)) % 0.39/0.60 (define @t14 () (forall @t8 (=> @t13 @t11))) % 0.39/0.60 (define @t15 () (= tptp.binintersectER @t14)) % 0.39/0.60 (define @t16 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t17 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t18 () (_ (_ tptp.binunion @t17) @t16)) % 0.39/0.60 (define @t19 () (_ @t5 @t18)) % 0.39/0.60 (define @t20 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t21 () (_ (_ tptp.binintersect @t20) @t17)) % 0.39/0.60 (define @t22 () (_ @t5 @t21)) % 0.39/0.60 (define @t23 () (=> @t22 @t19)) % 0.39/0.60 (define @t24 () (@list @t4)) % 0.39/0.60 (define @t25 () (forall @t24 (=> @t7 @t23))) % 0.39/0.60 (define @t26 () (_ tptp.powerset @t2)) % 0.39/0.60 (define @t27 () (_ tptp.in @t16)) % 0.39/0.60 (define @t28 () (_ @t27 @t26)) % 0.39/0.60 (define @t29 () (=> @t28 @t25)) % 0.39/0.60 (define @t30 () (@list @t16)) % 0.39/0.60 (define @t31 () (forall @t30 @t29)) % 0.39/0.60 (define @t32 () (_ tptp.in @t17)) % 0.39/0.60 (define @t33 () (_ @t32 @t26)) % 0.39/0.60 (define @t34 () (=> @t33 @t31)) % 0.39/0.60 (define @t35 () (@list @t17)) % 0.39/0.60 (define @t36 () (forall @t35 @t34)) % 0.39/0.60 (define @t37 () (_ tptp.in @t20)) % 0.39/0.60 (define @t38 () (_ @t37 @t26)) % 0.39/0.60 (define @t39 () (=> @t38 @t36)) % 0.39/0.60 (define @t40 () (@list @t2 @t20)) % 0.39/0.60 (define @t41 () (forall @t40 @t39)) % 0.39/0.60 (define @t42 () (=> tptp.binintersectER @t41)) % 0.39/0.60 (define @t43 () (=> tptp.binunionIL @t42)) % 0.39/0.60 (define @t44 () (not @t43)) % 0.39/0.60 (define @t45 () (@var "BOUND_VARIABLE_7568" $$unsorted)) % 0.39/0.60 (define @t46 () (@var "BOUND_VARIABLE_7566" $$unsorted)) % 0.39/0.60 (define @t47 () (@var "BOUND_VARIABLE_7570" $$unsorted)) % 0.39/0.60 (define @t48 () (tptp.in @t47 (tptp.binunion @t46 @t45))) % 0.39/0.60 (define @t49 () (not (tptp.in @t47 (tptp.binintersect @t20 @t46)))) % 0.39/0.60 (define @t50 () (not (tptp.in @t47 @t2))) % 0.39/0.60 (define @t51 () (tptp.powerset @t2)) % 0.39/0.60 (define @t52 () (not (tptp.in @t45 @t51))) % 0.39/0.60 (define @t53 () (not (tptp.in @t46 @t51))) % 0.39/0.60 (define @t54 () (tptp.in @t20 @t51)) % 0.39/0.60 (define @t55 () (not @t54)) % 0.39/0.60 (define @t56 () (or @t55 @t53 @t52 @t50 @t49 @t48)) % 0.39/0.60 (define @t57 () (@list @t2 @t20 @t46 @t45 @t47)) % 0.39/0.60 (define @t58 () (forall @t57 @t56)) % 0.39/0.60 (define @t59 () (tptp.in @t4 @t1)) % 0.39/0.60 (define @t60 () (tptp.binintersect @t2 @t1)) % 0.39/0.60 (define @t61 () (tptp.in @t4 @t60)) % 0.39/0.60 (define @t62 () (not @t13)) % 0.39/0.60 (define @t63 () (or @t62 @t11)) % 0.39/0.60 (define @t64 () (=> tptp.binintersectER @t58)) % 0.39/0.60 (define @t65 () (tptp.binunion @t2 @t1)) % 0.39/0.60 (define @t66 () (tptp.in @t4 @t65)) % 0.39/0.60 (define @t67 () (tptp.in @t4 @t2)) % 0.39/0.60 (define @t68 () (not @t7)) % 0.39/0.60 (define @t69 () (or @t68 @t6)) % 0.39/0.60 (define @t70 () (=> tptp.binunionIL @t64)) % 0.39/0.60 (define @t71 () (or @t53 @t52 @t50 @t49 @t48)) % 0.39/0.60 (define @t72 () (or @t55 @t71)) % 0.39/0.60 (define @t73 () (forall @t57 @t72)) % 0.39/0.60 (define @t74 () (@list @t46 @t45 @t47)) % 0.39/0.60 (define @t75 () (forall @t74 @t72)) % 0.39/0.60 (define @t76 () (forall @t74 @t71)) % 0.39/0.60 (define @t77 () (@var "BOUND_VARIABLE_7540" $$unsorted)) % 0.39/0.60 (define @t78 () (@var "BOUND_VARIABLE_7538" $$unsorted)) % 0.39/0.60 (define @t79 () (or @t55 @t76)) % 0.39/0.60 (define @t80 () (tptp.in @t77 (tptp.binunion @t17 @t78))) % 0.39/0.60 (define @t81 () (tptp.binintersect @t20 @t17)) % 0.39/0.60 (define @t82 () (not (tptp.in @t77 @t81))) % 0.39/0.60 (define @t83 () (not (tptp.in @t77 @t2))) % 0.39/0.60 (define @t84 () (not (tptp.in @t78 @t51))) % 0.39/0.60 (define @t85 () (tptp.in @t17 @t51)) % 0.39/0.60 (define @t86 () (not @t85)) % 0.39/0.60 (define @t87 () (or @t86 @t84 @t83 @t82 @t80)) % 0.39/0.60 (define @t88 () (@list @t17 @t78 @t77)) % 0.39/0.60 (define @t89 () (forall @t88 @t87)) % 0.39/0.60 (define @t90 () (not @t38)) % 0.39/0.60 (define @t91 () (or @t90 @t89)) % 0.39/0.60 (define @t92 () (or @t84 @t83 @t82 @t80)) % 0.39/0.60 (define @t93 () (or @t86 @t92)) % 0.39/0.60 (define @t94 () (forall @t88 @t93)) % 0.39/0.60 (define @t95 () (@list @t78 @t77)) % 0.39/0.60 (define @t96 () (forall @t95 @t93)) % 0.39/0.60 (define @t97 () (forall @t95 @t92)) % 0.39/0.60 (define @t98 () (@var "BOUND_VARIABLE_7515" $$unsorted)) % 0.39/0.60 (define @t99 () (or @t86 @t97)) % 0.39/0.60 (define @t100 () (tptp.binunion @t17 @t16)) % 0.39/0.60 (define @t101 () (tptp.in @t98 @t100)) % 0.39/0.60 (define @t102 () (not (tptp.in @t98 @t81))) % 0.39/0.60 (define @t103 () (not (tptp.in @t98 @t2))) % 0.39/0.60 (define @t104 () (tptp.in @t16 @t51)) % 0.39/0.60 (define @t105 () (not @t104)) % 0.39/0.60 (define @t106 () (or @t105 @t103 @t102 @t101)) % 0.39/0.60 (define @t107 () (@list @t16 @t98)) % 0.39/0.60 (define @t108 () (forall @t107 @t106)) % 0.39/0.60 (define @t109 () (not @t33)) % 0.39/0.60 (define @t110 () (or @t109 @t108)) % 0.39/0.60 (define @t111 () (or @t103 @t102 @t101)) % 0.39/0.60 (define @t112 () (or @t105 @t111)) % 0.39/0.60 (define @t113 () (forall @t107 @t112)) % 0.39/0.60 (define @t114 () (@list @t98)) % 0.39/0.60 (define @t115 () (forall @t114 @t112)) % 0.39/0.60 (define @t116 () (forall @t114 @t111)) % 0.39/0.60 (define @t117 () (or @t105 @t116)) % 0.39/0.60 (define @t118 () (tptp.in @t4 @t100)) % 0.39/0.60 (define @t119 () (tptp.in @t4 @t81)) % 0.39/0.60 (define @t120 () (forall @t24 (or (not @t67) (not @t119) @t118))) % 0.39/0.60 (define @t121 () (not @t28)) % 0.39/0.60 (define @t122 () (or @t121 @t120)) % 0.39/0.60 (define @t123 () (not @t22)) % 0.39/0.60 (define @t124 () (or @t68 @t123 @t19)) % 0.39/0.60 (define @t125 () (@quantifiers_skolemize @t58 2)) % 0.39/0.60 (define @t126 () (@quantifiers_skolemize @t58 1)) % 0.39/0.60 (define @t127 () (@quantifiers_skolemize @t58 4)) % 0.39/0.60 (define @t128 () (tptp.in @t127 (tptp.binintersect @t126 @t125))) % 0.39/0.60 (define @t129 () (@quantifiers_skolemize @t58 3)) % 0.39/0.60 (define @t130 () (tptp.in @t127 (tptp.binunion @t125 @t129))) % 0.39/0.60 (define @t131 () (not @t128)) % 0.39/0.60 (define @t132 () (@quantifiers_skolemize @t58 0)) % 0.39/0.60 (define @t133 () (tptp.powerset @t132)) % 0.39/0.60 (define @t134 () (or (not (tptp.in @t126 @t133)) (not (tptp.in @t125 @t133)) (not (tptp.in @t129 @t133)) (not (tptp.in @t127 @t132)) @t131 @t130)) % 0.39/0.60 (define @t135 () (@list true)) % 0.39/0.60 (define @t136 () (@list @t134)) % 0.39/0.60 (define @t137 () (tptp.in @t127 @t125)) % 0.39/0.60 (define @t138 () (not @t137)) % 0.39/0.60 (define @t139 () (or @t138 @t130)) % 0.39/0.60 (define @t140 () (or @t131 @t137)) % 0.39/0.60 (assume @p1 @t10) % 0.39/0.60 (assume @p2 @t15) % 0.39/0.60 (assume @p3 @t44) % 0.39/0.60 (assume @p4 true) % 0.39/0.60 (step @p5 :rule refl :args (@t58)) % 0.39/0.60 (step @p6 :rule refl :args (@t59)) % 0.39/0.60 (step @p7 :rule refl :args (@t11)) % 0.39/0.60 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t11 @t59))) % 0.39/0.60 (step @p9 :rule symm :premises (@p8)) % 0.39/0.60 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.39/0.60 (step @p11 :rule refl :args ((tptp.in @t4 @t12))) % 0.39/0.60 (step @p12 :rule refl :args (@t60)) % 0.39/0.60 (step @p13 :rule refl :args (@t4)) % 0.39/0.60 (step @p14 :rule cong :premises (@p13 @p12) :args (@t61)) % 0.39/0.60 (step @p15 :rule trans :premises (@p14 @p11)) % 0.39/0.60 (step @p16 :rule refl :args (@t5)) % 0.39/0.60 (step @p17 :rule ho_cong :premises (@p16 @p12)) % 0.39/0.60 (step @p18 :rule cong :premises (@p17 @p15) :args ((= (_ @t5 @t60) @t61))) % 0.39/0.60 (step @p19 :rule symm :premises (@p18)) % 0.39/0.60 (step @p20 :rule refl :args (@t13)) % 0.39/0.60 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.39/0.60 (step @p22 :rule refl :args (@t12)) % 0.39/0.60 (step @p23 :rule cong :premises (@p22 @p12) :args ((= @t12 @t60))) % 0.39/0.60 (step @p24 :rule symm :premises (@p23)) % 0.39/0.60 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.39/0.60 (step @p26 :rule ho_cong :premises (@p16 @p25)) % 0.39/0.60 (step @p27 :rule trans :premises (@p26 @p21)) % 0.39/0.60 (step @p28 :rule cong :premises (@p27) :args (@t62)) % 0.39/0.60 (step @p29 :rule nary_cong :premises (@p28 @p10) :args (@t63)) % 0.39/0.60 (step @p30 :rule cong :premises (@p29) :args ((forall @t8 @t63))) % 0.39/0.60 (step @p31 :rule bool-impl-elim :args (@t13 @t11)) % 0.39/0.60 (step @p32 :rule cong :premises (@p31) :args (@t14)) % 0.39/0.60 (step @p33 :rule trans :premises (@p32 @p30)) % 0.39/0.60 (step @p34 :rule refl :args (tptp.binintersectER)) % 0.39/0.60 (step @p35 :rule cong :premises (@p34 @p33) :args (@t15)) % 0.39/0.60 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 0.39/0.60 (step @p37 :rule cong :premises (@p36 @p5) :args (@t64)) % 0.39/0.60 (step @p38 :rule refl :args ((tptp.in @t4 @t3))) % 0.39/0.60 (step @p39 :rule refl :args (@t65)) % 0.39/0.60 (step @p40 :rule cong :premises (@p13 @p39) :args (@t66)) % 0.39/0.60 (step @p41 :rule trans :premises (@p40 @p38)) % 0.39/0.60 (step @p42 :rule ho_cong :premises (@p16 @p39)) % 0.39/0.60 (step @p43 :rule cong :premises (@p42 @p41) :args ((= (_ @t5 @t65) @t66))) % 0.39/0.60 (step @p44 :rule symm :premises (@p43)) % 0.39/0.60 (step @p45 :rule refl :args (@t6)) % 0.39/0.60 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.39/0.60 (step @p47 :rule refl :args (@t3)) % 0.39/0.60 (step @p48 :rule cong :premises (@p47 @p39) :args ((= @t3 @t65))) % 0.39/0.60 (step @p49 :rule symm :premises (@p48)) % 0.39/0.60 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.39/0.60 (step @p51 :rule ho_cong :premises (@p16 @p50)) % 0.39/0.60 (step @p52 :rule trans :premises (@p51 @p46)) % 0.39/0.60 (step @p53 :rule refl :args (@t67)) % 0.39/0.60 (step @p54 :rule refl :args (@t7)) % 0.39/0.60 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t7 @t67))) % 0.39/0.60 (step @p56 :rule symm :premises (@p55)) % 0.39/0.60 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.39/0.60 (step @p58 :rule cong :premises (@p57) :args (@t68)) % 0.39/0.60 (step @p59 :rule nary_cong :premises (@p58 @p52) :args (@t69)) % 0.39/0.60 (step @p60 :rule cong :premises (@p59) :args ((forall @t8 @t69))) % 0.39/0.60 (step @p61 :rule bool-impl-elim :args (@t7 @t6)) % 0.39/0.60 (step @p62 :rule cong :premises (@p61) :args (@t9)) % 0.39/0.60 (step @p63 :rule trans :premises (@p62 @p60)) % 0.39/0.60 (step @p64 :rule refl :args (tptp.binunionIL)) % 0.39/0.60 (step @p65 :rule cong :premises (@p64 @p63) :args (@t10)) % 0.39/0.60 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.39/0.60 (step @p67 :rule cong :premises (@p66 @p37) :args (@t70)) % 0.39/0.60 (step @p68 :rule cong :premises (@p67) :args ((not @t70))) % 0.39/0.60 (step @p69 :rule aci_norm :args ((= @t72 @t56))) % 0.39/0.60 (step @p70 :rule cong :premises (@p69) :args (@t73)) % 0.39/0.60 (step @p71 :rule quant-merge-prenex :args ((= (forall @t40 @t75) @t73))) % 0.39/0.60 (step @p72 :rule alpha_equiv :args (@t76 (@list @t46 @t45 @t47) (@list @t17 @t78 @t77))) % 0.39/0.60 (step @p73 :rule refl :args (@t55)) % 0.39/0.60 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t79)) % 0.39/0.60 (step @p75 :rule quant-miniscope-or :args ((= @t75 @t79))) % 0.39/0.60 (step @p76 :rule trans :premises (@p75 @p74)) % 0.39/0.60 (step @p77 :rule symm :premises (@p76)) % 0.39/0.60 (step @p78 :rule cong :premises (@p77) :args ((forall @t40 (or @t55 @t89)))) % 0.39/0.60 (step @p79 :rule trans :premises (@p78 @p71)) % 0.39/0.60 (step @p80 :rule trans :premises (@p79 @p70)) % 0.39/0.60 (step @p81 :rule refl :args (@t89)) % 0.39/0.60 (step @p82 :rule refl :args ((tptp.in @t20 @t26))) % 0.39/0.60 (step @p83 :rule refl :args (@t51)) % 0.39/0.60 (step @p84 :rule refl :args (@t20)) % 0.39/0.60 (step @p85 :rule cong :premises (@p84 @p83) :args (@t54)) % 0.39/0.60 (step @p86 :rule trans :premises (@p85 @p82)) % 0.39/0.60 (step @p87 :rule refl :args (@t37)) % 0.39/0.60 (step @p88 :rule ho_cong :premises (@p87 @p83)) % 0.39/0.60 (step @p89 :rule cong :premises (@p88 @p86) :args ((= (_ @t37 @t51) @t54))) % 0.39/0.60 (step @p90 :rule symm :premises (@p89)) % 0.39/0.60 (step @p91 :rule refl :args (@t38)) % 0.39/0.60 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.39/0.60 (step @p93 :rule refl :args (@t26)) % 0.39/0.60 (step @p94 :rule cong :premises (@p93 @p83) :args ((= @t26 @t51))) % 0.39/0.60 (step @p95 :rule symm :premises (@p94)) % 0.39/0.60 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.39/0.60 (step @p97 :rule ho_cong :premises (@p87 @p96)) % 0.39/0.60 (step @p98 :rule trans :premises (@p97 @p92)) % 0.39/0.60 (step @p99 :rule cong :premises (@p98) :args (@t90)) % 0.39/0.60 (step @p100 :rule nary_cong :premises (@p99 @p81) :args (@t91)) % 0.39/0.60 (step @p101 :rule cong :premises (@p100) :args ((forall @t40 @t91))) % 0.39/0.60 (step @p102 :rule trans :premises (@p101 @p80)) % 0.39/0.60 (step @p103 :rule bool-impl-elim :args (@t38 @t89)) % 0.39/0.60 (step @p104 :rule cong :premises (@p103) :args ((forall @t40 (=> @t38 @t89)))) % 0.39/0.60 (step @p105 :rule trans :premises (@p104 @p102)) % 0.39/0.60 (step @p106 :rule aci_norm :args ((= @t93 @t87))) % 0.39/0.60 (step @p107 :rule cong :premises (@p106) :args (@t94)) % 0.39/0.60 (step @p108 :rule quant-merge-prenex :args ((= (forall @t35 @t96) @t94))) % 0.39/0.60 (step @p109 :rule alpha_equiv :args (@t97 (@list @t78 @t77) (@list @t16 @t98))) % 0.39/0.60 (step @p110 :rule refl :args (@t86)) % 0.39/0.60 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t99)) % 0.39/0.60 (step @p112 :rule quant-miniscope-or :args ((= @t96 @t99))) % 0.39/0.60 (step @p113 :rule trans :premises (@p112 @p111)) % 0.39/0.60 (step @p114 :rule symm :premises (@p113)) % 0.39/0.60 (step @p115 :rule cong :premises (@p114) :args ((forall @t35 (or @t86 @t108)))) % 0.39/0.60 (step @p116 :rule trans :premises (@p115 @p108)) % 0.39/0.60 (step @p117 :rule trans :premises (@p116 @p107)) % 0.39/0.60 (step @p118 :rule refl :args (@t108)) % 0.39/0.60 (step @p119 :rule refl :args ((tptp.in @t17 @t26))) % 0.39/0.60 (step @p120 :rule refl :args (@t17)) % 0.39/0.60 (step @p121 :rule cong :premises (@p120 @p83) :args (@t85)) % 0.39/0.60 (step @p122 :rule trans :premises (@p121 @p119)) % 0.39/0.60 (step @p123 :rule refl :args (@t32)) % 0.39/0.60 (step @p124 :rule ho_cong :premises (@p123 @p83)) % 0.39/0.60 (step @p125 :rule cong :premises (@p124 @p122) :args ((= (_ @t32 @t51) @t85))) % 0.39/0.60 (step @p126 :rule symm :premises (@p125)) % 0.39/0.60 (step @p127 :rule refl :args (@t33)) % 0.39/0.60 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.39/0.60 (step @p129 :rule ho_cong :premises (@p123 @p96)) % 0.39/0.60 (step @p130 :rule trans :premises (@p129 @p128)) % 0.39/0.60 (step @p131 :rule cong :premises (@p130) :args (@t109)) % 0.39/0.60 (step @p132 :rule nary_cong :premises (@p131 @p118) :args (@t110)) % 0.39/0.60 (step @p133 :rule cong :premises (@p132) :args ((forall @t35 @t110))) % 0.39/0.60 (step @p134 :rule trans :premises (@p133 @p117)) % 0.39/0.60 (step @p135 :rule bool-impl-elim :args (@t33 @t108)) % 0.39/0.60 (step @p136 :rule cong :premises (@p135) :args ((forall @t35 (=> @t33 @t108)))) % 0.39/0.60 (step @p137 :rule trans :premises (@p136 @p134)) % 0.39/0.60 (step @p138 :rule aci_norm :args ((= @t112 @t106))) % 0.39/0.60 (step @p139 :rule cong :premises (@p138) :args (@t113)) % 0.39/0.60 (step @p140 :rule quant-merge-prenex :args ((= (forall @t30 @t115) @t113))) % 0.39/0.60 (step @p141 :rule alpha_equiv :args (@t116 (@list @t98) (@list @t4))) % 0.39/0.60 (step @p142 :rule refl :args (@t105)) % 0.39/0.60 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t117)) % 0.39/0.60 (step @p144 :rule quant-miniscope-or :args ((= @t115 @t117))) % 0.39/0.60 (step @p145 :rule trans :premises (@p144 @p143)) % 0.39/0.60 (step @p146 :rule symm :premises (@p145)) % 0.39/0.60 (step @p147 :rule cong :premises (@p146) :args ((forall @t30 (or @t105 @t120)))) % 0.39/0.60 (step @p148 :rule trans :premises (@p147 @p140)) % 0.39/0.60 (step @p149 :rule trans :premises (@p148 @p139)) % 0.39/0.60 (step @p150 :rule refl :args (@t120)) % 0.39/0.60 (step @p151 :rule refl :args ((tptp.in @t16 @t26))) % 0.39/0.60 (step @p152 :rule refl :args (@t16)) % 0.39/0.60 (step @p153 :rule cong :premises (@p152 @p83) :args (@t104)) % 0.39/0.60 (step @p154 :rule trans :premises (@p153 @p151)) % 0.39/0.60 (step @p155 :rule refl :args (@t27)) % 0.39/0.60 (step @p156 :rule ho_cong :premises (@p155 @p83)) % 0.39/0.60 (step @p157 :rule cong :premises (@p156 @p154) :args ((= (_ @t27 @t51) @t104))) % 0.39/0.60 (step @p158 :rule symm :premises (@p157)) % 0.39/0.60 (step @p159 :rule refl :args (@t28)) % 0.39/0.60 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.39/0.60 (step @p161 :rule ho_cong :premises (@p155 @p96)) % 0.39/0.60 (step @p162 :rule trans :premises (@p161 @p160)) % 0.39/0.60 (step @p163 :rule cong :premises (@p162) :args (@t121)) % 0.39/0.60 (step @p164 :rule nary_cong :premises (@p163 @p150) :args (@t122)) % 0.39/0.60 (step @p165 :rule cong :premises (@p164) :args ((forall @t30 @t122))) % 0.39/0.60 (step @p166 :rule trans :premises (@p165 @p149)) % 0.39/0.60 (step @p167 :rule bool-impl-elim :args (@t28 @t120)) % 0.39/0.60 (step @p168 :rule cong :premises (@p167) :args ((forall @t30 (=> @t28 @t120)))) % 0.39/0.60 (step @p169 :rule trans :premises (@p168 @p166)) % 0.39/0.60 (step @p170 :rule refl :args ((tptp.in @t4 @t18))) % 0.39/0.60 (step @p171 :rule refl :args (@t100)) % 0.39/0.60 (step @p172 :rule cong :premises (@p13 @p171) :args (@t118)) % 0.39/0.60 (step @p173 :rule trans :premises (@p172 @p170)) % 0.39/0.60 (step @p174 :rule ho_cong :premises (@p16 @p171)) % 0.39/0.60 (step @p175 :rule cong :premises (@p174 @p173) :args ((= (_ @t5 @t100) @t118))) % 0.39/0.60 (step @p176 :rule symm :premises (@p175)) % 0.39/0.60 (step @p177 :rule refl :args (@t19)) % 0.39/0.60 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 0.39/0.60 (step @p179 :rule refl :args (@t18)) % 0.39/0.60 (step @p180 :rule cong :premises (@p179 @p171) :args ((= @t18 @t100))) % 0.39/0.60 (step @p181 :rule symm :premises (@p180)) % 0.39/0.60 (step @p182 :rule eq_resolve :premises (@p179 @p181)) % 0.39/0.60 (step @p183 :rule ho_cong :premises (@p16 @p182)) % 0.39/0.60 (step @p184 :rule trans :premises (@p183 @p178)) % 0.39/0.60 (step @p185 :rule refl :args ((tptp.in @t4 @t21))) % 0.39/0.60 (step @p186 :rule refl :args (@t81)) % 0.39/0.60 (step @p187 :rule cong :premises (@p13 @p186) :args (@t119)) % 0.39/0.60 (step @p188 :rule trans :premises (@p187 @p185)) % 0.39/0.60 (step @p189 :rule ho_cong :premises (@p16 @p186)) % 0.39/0.60 (step @p190 :rule cong :premises (@p189 @p188) :args ((= (_ @t5 @t81) @t119))) % 0.39/0.60 (step @p191 :rule symm :premises (@p190)) % 0.39/0.60 (step @p192 :rule refl :args (@t22)) % 0.39/0.60 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.39/0.60 (step @p194 :rule refl :args (@t21)) % 0.39/0.60 (step @p195 :rule cong :premises (@p194 @p186) :args ((= @t21 @t81))) % 0.39/0.60 (step @p196 :rule symm :premises (@p195)) % 0.39/0.60 (step @p197 :rule eq_resolve :premises (@p194 @p196)) % 0.39/0.60 (step @p198 :rule ho_cong :premises (@p16 @p197)) % 0.39/0.60 (step @p199 :rule trans :premises (@p198 @p193)) % 0.39/0.60 (step @p200 :rule cong :premises (@p199) :args (@t123)) % 0.39/0.60 (step @p201 :rule nary_cong :premises (@p58 @p200 @p184) :args (@t124)) % 0.39/0.60 (step @p202 :rule cong :premises (@p201) :args ((forall @t24 @t124))) % 0.39/0.60 (step @p203 :rule aci_norm :args ((= (or @t68 (or @t123 @t19)) @t124))) % 0.39/0.60 (step @p204 :rule bool-impl-elim :args (@t22 @t19)) % 0.39/0.60 (step @p205 :rule refl :args (@t68)) % 0.39/0.60 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t68 @t23))) % 0.39/0.60 (step @p207 :rule trans :premises (@p206 @p203)) % 0.39/0.60 (step @p208 :rule bool-impl-elim :args (@t7 @t23)) % 0.39/0.60 (step @p209 :rule trans :premises (@p208 @p207)) % 0.39/0.60 (step @p210 :rule cong :premises (@p209) :args (@t25)) % 0.39/0.60 (step @p211 :rule trans :premises (@p210 @p202)) % 0.39/0.60 (step @p212 :rule refl :args (@t28)) % 0.39/0.60 (step @p213 :rule cong :premises (@p212 @p211) :args (@t29)) % 0.39/0.60 (step @p214 :rule cong :premises (@p213) :args (@t31)) % 0.39/0.60 (step @p215 :rule trans :premises (@p214 @p169)) % 0.39/0.60 (step @p216 :rule refl :args (@t33)) % 0.39/0.60 (step @p217 :rule cong :premises (@p216 @p215) :args (@t34)) % 0.39/0.60 (step @p218 :rule cong :premises (@p217) :args (@t36)) % 0.39/0.60 (step @p219 :rule trans :premises (@p218 @p137)) % 0.39/0.60 (step @p220 :rule refl :args (@t38)) % 0.39/0.60 (step @p221 :rule cong :premises (@p220 @p219) :args (@t39)) % 0.39/0.60 (step @p222 :rule cong :premises (@p221) :args (@t41)) % 0.39/0.60 (step @p223 :rule trans :premises (@p222 @p105)) % 0.39/0.60 (step @p224 :rule cong :premises (@p34 @p223) :args (@t42)) % 0.39/0.60 (step @p225 :rule cong :premises (@p64 @p224) :args (@t43)) % 0.39/0.60 (step @p226 :rule cong :premises (@p225) :args (@t44)) % 0.39/0.60 (step @p227 :rule trans :premises (@p226 @p68)) % 0.39/0.60 (step @p228 :rule eq_resolve :premises (@p3 @p227)) % 0.39/0.60 (step @p229 :rule not_implies_elim2 :premises (@p228)) % 0.39/0.60 (step @p230 :rule not_implies_elim2 :premises (@p229)) % 0.39/0.60 (step @p231 :rule skolemize :premises (@p230)) % 0.39/0.60 (step @p232 :rule bool-double-not-elim :args (@t128)) % 0.39/0.60 (step @p233 :rule refl :args (@t134)) % 0.39/0.60 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t134 (not @t131)))) % 0.39/0.60 (step @p235 :rule cnf_or_neg :args (@t134 4)) % 0.39/0.60 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 0.39/0.60 (step @p237 :rule reordering :premises (@p236) :args ((or @t128 @t134))) % 0.39/0.60 (step @p238 :rule chain_m_resolution :premises (@p237 @p231) :args (@t128 @t135 @t136)) % 0.39/0.60 (step @p239 :rule not_implies_elim1 :premises (@p229)) % 0.39/0.60 (step @p240 :rule instantiate :premises (@p239) :args ((@list @t126 @t125 @t127))) % 0.39/0.60 (step @p241 :rule not_implies_elim1 :premises (@p228)) % 0.39/0.60 (step @p242 :rule instantiate :premises (@p241) :args ((@list @t125 @t129 @t127))) % 0.39/0.60 (step @p243 :rule cnf_or_neg :args (@t134 5)) % 0.39/0.60 (step @p244 :rule chain_m_resolution :premises (@p243 @p231) :args ((not @t130) @t135 @t136)) % 0.39/0.60 (step @p245 :rule cnf_or_pos :args (@t139)) % 0.39/0.60 (step @p246 :rule reordering :premises (@p245) :args ((or @t130 @t138 (not @t139)))) % 0.39/0.60 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p242) :args (@t138 (@list true false) (@list @t130 @t139))) % 0.39/0.60 (step @p248 :rule cnf_or_pos :args (@t140)) % 0.39/0.60 (step @p249 :rule reordering :premises (@p248) :args ((or @t131 @t137 (not @t140)))) % 0.39/0.60 (step @p250 false :rule chain_m_resolution :premises (@p249 @p247 @p240 @p238) :args (false (@list true false false) (@list @t137 @t140 @t128))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------