%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU759^2 : 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 : n019.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 08:53:04 AM UTC 2026 % Result : Theorem 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU759^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n019.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 17:51:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.41/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.59 % SZS status Theorem % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort $$unsorted 0) % 0.41/0.59 (declare-const tptp.binintersectEL Bool) % 0.41/0.59 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.subsetE Bool) % 0.41/0.59 (declare-const tptp.subsetI1 Bool) % 0.41/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.41/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.41/0.59 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 0.41/0.59 (define @t4 () (@var "Xx" $$unsorted)) % 0.41/0.59 (define @t5 () (_ tptp.in @t4)) % 0.41/0.59 (define @t6 () (_ @t5 @t1)) % 0.41/0.59 (define @t7 () (_ @t5 @t2)) % 0.41/0.59 (define @t8 () (=> @t7 @t6)) % 0.41/0.59 (define @t9 () (@list @t4)) % 0.41/0.59 (define @t10 () (forall @t9 @t8)) % 0.41/0.59 (define @t11 () (=> @t10 @t3)) % 0.41/0.59 (define @t12 () (@list @t2 @t1)) % 0.41/0.59 (define @t13 () (forall @t12 @t11)) % 0.41/0.59 (define @t14 () (= tptp.subsetI1 @t13)) % 0.41/0.59 (define @t15 () (@list @t2 @t1 @t4)) % 0.41/0.59 (define @t16 () (forall @t15 (=> @t3 @t8))) % 0.41/0.59 (define @t17 () (= tptp.subsetE @t16)) % 0.41/0.59 (define @t18 () (_ (_ tptp.binintersect @t2) @t1)) % 0.41/0.59 (define @t19 () (_ @t5 @t18)) % 0.41/0.59 (define @t20 () (forall @t15 (=> @t19 @t7))) % 0.41/0.59 (define @t21 () (= tptp.binintersectEL @t20)) % 0.41/0.59 (define @t22 () (@var "Z" $$unsorted)) % 0.41/0.59 (define @t23 () (@var "Y" $$unsorted)) % 0.41/0.59 (define @t24 () (@var "X" $$unsorted)) % 0.41/0.59 (define @t25 () (_ (_ tptp.binintersect @t24) @t23)) % 0.41/0.59 (define @t26 () (_ (_ tptp.subset @t25) @t22)) % 0.41/0.59 (define @t27 () (_ (_ tptp.subset @t24) @t22)) % 0.41/0.59 (define @t28 () (=> @t27 @t26)) % 0.41/0.59 (define @t29 () (_ tptp.powerset @t2)) % 0.41/0.59 (define @t30 () (_ tptp.in @t22)) % 0.41/0.59 (define @t31 () (_ @t30 @t29)) % 0.41/0.59 (define @t32 () (@list @t22)) % 0.41/0.59 (define @t33 () (forall @t32 (=> @t31 @t28))) % 0.41/0.59 (define @t34 () (_ tptp.in @t23)) % 0.41/0.59 (define @t35 () (_ @t34 @t29)) % 0.41/0.59 (define @t36 () (=> @t35 @t33)) % 0.41/0.59 (define @t37 () (@list @t23)) % 0.41/0.59 (define @t38 () (forall @t37 @t36)) % 0.41/0.59 (define @t39 () (_ tptp.in @t24)) % 0.41/0.59 (define @t40 () (_ @t39 @t29)) % 0.41/0.59 (define @t41 () (=> @t40 @t38)) % 0.41/0.59 (define @t42 () (@list @t2 @t24)) % 0.41/0.59 (define @t43 () (forall @t42 @t41)) % 0.41/0.59 (define @t44 () (=> tptp.binintersectEL @t43)) % 0.41/0.59 (define @t45 () (=> tptp.subsetE @t44)) % 0.41/0.59 (define @t46 () (=> tptp.subsetI1 @t45)) % 0.41/0.59 (define @t47 () (not @t46)) % 0.41/0.59 (define @t48 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.41/0.59 (define @t49 () (@var "BOUND_VARIABLE_7559" $$unsorted)) % 0.41/0.59 (define @t50 () (tptp.subset (tptp.binintersect @t24 @t49) @t48)) % 0.41/0.59 (define @t51 () (not (tptp.subset @t24 @t48))) % 0.41/0.59 (define @t52 () (tptp.powerset @t2)) % 0.41/0.59 (define @t53 () (not (tptp.in @t48 @t52))) % 0.41/0.59 (define @t54 () (not (tptp.in @t49 @t52))) % 0.41/0.59 (define @t55 () (tptp.in @t24 @t52)) % 0.41/0.59 (define @t56 () (not @t55)) % 0.41/0.59 (define @t57 () (or @t56 @t54 @t53 @t51 @t50)) % 0.41/0.59 (define @t58 () (@list @t2 @t24 @t49 @t48)) % 0.41/0.59 (define @t59 () (forall @t58 @t57)) % 0.41/0.59 (define @t60 () (tptp.in @t4 @t2)) % 0.41/0.59 (define @t61 () (tptp.binintersect @t2 @t1)) % 0.41/0.59 (define @t62 () (tptp.in @t4 @t61)) % 0.41/0.59 (define @t63 () (not @t19)) % 0.41/0.59 (define @t64 () (or @t63 @t7)) % 0.41/0.59 (define @t65 () (=> tptp.binintersectEL @t59)) % 0.41/0.59 (define @t66 () (tptp.in @t4 @t1)) % 0.41/0.59 (define @t67 () (not @t7)) % 0.41/0.59 (define @t68 () (tptp.subset @t2 @t1)) % 0.41/0.59 (define @t69 () (not @t3)) % 0.41/0.59 (define @t70 () (or @t69 @t67 @t6)) % 0.41/0.59 (define @t71 () (or @t67 @t6)) % 0.41/0.59 (define @t72 () (=> tptp.subsetE @t65)) % 0.41/0.59 (define @t73 () (not @t60)) % 0.41/0.59 (define @t74 () (forall @t9 (or @t73 @t66))) % 0.41/0.59 (define @t75 () (not @t74)) % 0.41/0.59 (define @t76 () (or @t75 @t3)) % 0.41/0.59 (define @t77 () (=> tptp.subsetI1 @t72)) % 0.41/0.59 (define @t78 () (or @t54 @t53 @t51 @t50)) % 0.41/0.59 (define @t79 () (or @t56 @t78)) % 0.41/0.59 (define @t80 () (forall @t58 @t79)) % 0.41/0.59 (define @t81 () (@list @t49 @t48)) % 0.41/0.59 (define @t82 () (forall @t81 @t79)) % 0.41/0.59 (define @t83 () (forall @t81 @t78)) % 0.41/0.59 (define @t84 () (@var "BOUND_VARIABLE_7536" $$unsorted)) % 0.41/0.59 (define @t85 () (or @t56 @t83)) % 0.41/0.59 (define @t86 () (tptp.binintersect @t24 @t23)) % 0.41/0.59 (define @t87 () (tptp.subset @t86 @t84)) % 0.41/0.59 (define @t88 () (not (tptp.subset @t24 @t84))) % 0.41/0.59 (define @t89 () (not (tptp.in @t84 @t52))) % 0.41/0.59 (define @t90 () (tptp.in @t23 @t52)) % 0.41/0.59 (define @t91 () (not @t90)) % 0.41/0.59 (define @t92 () (or @t91 @t89 @t88 @t87)) % 0.41/0.59 (define @t93 () (@list @t23 @t84)) % 0.41/0.59 (define @t94 () (forall @t93 @t92)) % 0.41/0.59 (define @t95 () (not @t40)) % 0.41/0.59 (define @t96 () (or @t95 @t94)) % 0.41/0.59 (define @t97 () (or @t89 @t88 @t87)) % 0.41/0.59 (define @t98 () (or @t91 @t97)) % 0.41/0.59 (define @t99 () (forall @t93 @t98)) % 0.41/0.59 (define @t100 () (@list @t84)) % 0.41/0.59 (define @t101 () (forall @t100 @t98)) % 0.41/0.59 (define @t102 () (forall @t100 @t97)) % 0.41/0.59 (define @t103 () (or @t91 @t102)) % 0.41/0.59 (define @t104 () (tptp.subset @t86 @t22)) % 0.41/0.59 (define @t105 () (tptp.subset @t24 @t22)) % 0.41/0.59 (define @t106 () (tptp.in @t22 @t52)) % 0.41/0.59 (define @t107 () (forall @t32 (or (not @t106) (not @t105) @t104))) % 0.41/0.59 (define @t108 () (not @t35)) % 0.41/0.59 (define @t109 () (or @t108 @t107)) % 0.41/0.59 (define @t110 () (not @t27)) % 0.41/0.59 (define @t111 () (not @t31)) % 0.41/0.59 (define @t112 () (or @t111 @t110 @t26)) % 0.41/0.59 (define @t113 () (@quantifiers_skolemize @t59 3)) % 0.41/0.59 (define @t114 () (@quantifiers_skolemize @t59 2)) % 0.41/0.59 (define @t115 () (@quantifiers_skolemize @t59 1)) % 0.41/0.59 (define @t116 () (tptp.binintersect @t115 @t114)) % 0.41/0.59 (define @t117 () (forall @t9 (or (not (tptp.in @t4 @t116)) (tptp.in @t4 @t113)))) % 0.41/0.59 (define @t118 () (@quantifiers_skolemize @t117 0)) % 0.41/0.59 (define @t119 () (tptp.subset @t116 @t113)) % 0.41/0.59 (define @t120 () (tptp.subset @t115 @t113)) % 0.41/0.59 (define @t121 () (not @t120)) % 0.41/0.59 (define @t122 () (tptp.powerset (@quantifiers_skolemize @t59 0))) % 0.41/0.59 (define @t123 () (or (not (tptp.in @t115 @t122)) (not (tptp.in @t114 @t122)) (not (tptp.in @t113 @t122)) @t121 @t119)) % 0.41/0.59 (define @t124 () (@list true)) % 0.41/0.59 (define @t125 () (@list @t123)) % 0.41/0.59 (define @t126 () (not @t117)) % 0.41/0.59 (define @t127 () (or @t126 @t119)) % 0.41/0.59 (define @t128 () (@list true false)) % 0.41/0.59 (define @t129 () (tptp.in @t118 @t116)) % 0.41/0.59 (define @t130 () (tptp.in @t118 @t113)) % 0.41/0.59 (define @t131 () (not @t129)) % 0.41/0.59 (define @t132 () (or @t131 @t130)) % 0.41/0.59 (define @t133 () (@list @t132)) % 0.41/0.59 (define @t134 () (tptp.in @t118 @t115)) % 0.41/0.59 (define @t135 () (or @t131 @t134)) % 0.41/0.59 (define @t136 () (not @t134)) % 0.41/0.59 (define @t137 () (or @t121 @t136 @t130)) % 0.41/0.59 (define @t138 () (not @t137)) % 0.41/0.59 (define @t139 () (forall @t15 (or (not @t68) @t73 @t66))) % 0.41/0.59 (assume @p1 @t14) % 0.41/0.59 (assume @p2 @t17) % 0.41/0.59 (assume @p3 @t21) % 0.41/0.59 (assume @p4 @t47) % 0.41/0.59 (assume @p5 true) % 0.41/0.59 (step @p6 :rule refl :args (@t59)) % 0.41/0.59 (step @p7 :rule refl :args (@t60)) % 0.41/0.59 (step @p8 :rule refl :args (@t7)) % 0.41/0.59 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t7 @t60))) % 0.41/0.59 (step @p10 :rule symm :premises (@p9)) % 0.41/0.59 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.41/0.59 (step @p12 :rule refl :args ((tptp.in @t4 @t18))) % 0.41/0.59 (step @p13 :rule refl :args (@t61)) % 0.41/0.59 (step @p14 :rule refl :args (@t4)) % 0.41/0.59 (step @p15 :rule cong :premises (@p14 @p13) :args (@t62)) % 0.41/0.59 (step @p16 :rule trans :premises (@p15 @p12)) % 0.41/0.59 (step @p17 :rule refl :args (@t5)) % 0.41/0.59 (step @p18 :rule ho_cong :premises (@p17 @p13)) % 0.41/0.59 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t5 @t61) @t62))) % 0.41/0.59 (step @p20 :rule symm :premises (@p19)) % 0.41/0.59 (step @p21 :rule refl :args (@t19)) % 0.41/0.59 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.41/0.59 (step @p23 :rule refl :args (@t18)) % 0.41/0.59 (step @p24 :rule cong :premises (@p23 @p13) :args ((= @t18 @t61))) % 0.41/0.59 (step @p25 :rule symm :premises (@p24)) % 0.41/0.59 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.41/0.59 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.41/0.59 (step @p28 :rule trans :premises (@p27 @p22)) % 0.41/0.59 (step @p29 :rule cong :premises (@p28) :args (@t63)) % 0.41/0.59 (step @p30 :rule nary_cong :premises (@p29 @p11) :args (@t64)) % 0.41/0.59 (step @p31 :rule cong :premises (@p30) :args ((forall @t15 @t64))) % 0.41/0.59 (step @p32 :rule bool-impl-elim :args (@t19 @t7)) % 0.41/0.59 (step @p33 :rule cong :premises (@p32) :args (@t20)) % 0.41/0.59 (step @p34 :rule trans :premises (@p33 @p31)) % 0.41/0.59 (step @p35 :rule refl :args (tptp.binintersectEL)) % 0.41/0.59 (step @p36 :rule cong :premises (@p35 @p34) :args (@t21)) % 0.41/0.59 (step @p37 :rule eq_resolve :premises (@p3 @p36)) % 0.41/0.59 (step @p38 :rule cong :premises (@p37 @p6) :args (@t65)) % 0.41/0.59 (step @p39 :rule refl :args (@t66)) % 0.41/0.59 (step @p40 :rule refl :args (@t6)) % 0.41/0.59 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t6 @t66))) % 0.41/0.59 (step @p42 :rule symm :premises (@p41)) % 0.41/0.59 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.41/0.59 (step @p44 :rule cong :premises (@p11) :args (@t67)) % 0.41/0.59 (step @p45 :rule refl :args (@t68)) % 0.41/0.59 (step @p46 :rule refl :args (@t3)) % 0.41/0.59 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t3 @t68))) % 0.41/0.59 (step @p48 :rule symm :premises (@p47)) % 0.41/0.59 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.41/0.59 (step @p50 :rule cong :premises (@p49) :args (@t69)) % 0.41/0.59 (step @p51 :rule nary_cong :premises (@p50 @p44 @p43) :args (@t70)) % 0.41/0.59 (step @p52 :rule cong :premises (@p51) :args ((forall @t15 @t70))) % 0.41/0.59 (step @p53 :rule aci_norm :args ((= (or @t69 @t71) @t70))) % 0.41/0.59 (step @p54 :rule bool-impl-elim :args (@t7 @t6)) % 0.41/0.59 (step @p55 :rule refl :args (@t69)) % 0.41/0.59 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t69 @t8))) % 0.41/0.59 (step @p57 :rule trans :premises (@p56 @p53)) % 0.41/0.59 (step @p58 :rule bool-impl-elim :args (@t3 @t8)) % 0.41/0.59 (step @p59 :rule trans :premises (@p58 @p57)) % 0.41/0.59 (step @p60 :rule cong :premises (@p59) :args (@t16)) % 0.41/0.59 (step @p61 :rule trans :premises (@p60 @p52)) % 0.41/0.59 (step @p62 :rule refl :args (tptp.subsetE)) % 0.41/0.59 (step @p63 :rule cong :premises (@p62 @p61) :args (@t17)) % 0.41/0.59 (step @p64 :rule eq_resolve :premises (@p2 @p63)) % 0.41/0.59 (step @p65 :rule cong :premises (@p64 @p38) :args (@t72)) % 0.41/0.59 (step @p66 :rule refl :args (@t75)) % 0.41/0.59 (step @p67 :rule nary_cong :premises (@p66 @p49) :args (@t76)) % 0.41/0.59 (step @p68 :rule cong :premises (@p67) :args ((forall @t12 @t76))) % 0.41/0.59 (step @p69 :rule bool-impl-elim :args (@t74 @t3)) % 0.41/0.59 (step @p70 :rule cong :premises (@p69) :args ((forall @t12 (=> @t74 @t3)))) % 0.41/0.59 (step @p71 :rule trans :premises (@p70 @p68)) % 0.41/0.59 (step @p72 :rule refl :args (@t3)) % 0.41/0.59 (step @p73 :rule nary_cong :premises (@p44 @p43) :args (@t71)) % 0.41/0.59 (step @p74 :rule cong :premises (@p73) :args ((forall @t9 @t71))) % 0.41/0.59 (step @p75 :rule cong :premises (@p54) :args (@t10)) % 0.41/0.59 (step @p76 :rule trans :premises (@p75 @p74)) % 0.41/0.59 (step @p77 :rule cong :premises (@p76 @p72) :args (@t11)) % 0.41/0.59 (step @p78 :rule cong :premises (@p77) :args (@t13)) % 0.41/0.59 (step @p79 :rule trans :premises (@p78 @p71)) % 0.41/0.59 (step @p80 :rule refl :args (tptp.subsetI1)) % 0.41/0.59 (step @p81 :rule cong :premises (@p80 @p79) :args (@t14)) % 0.41/0.59 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.41/0.59 (step @p83 :rule cong :premises (@p82 @p65) :args (@t77)) % 0.41/0.59 (step @p84 :rule cong :premises (@p83) :args ((not @t77))) % 0.41/0.59 (step @p85 :rule aci_norm :args ((= @t79 @t57))) % 0.41/0.59 (step @p86 :rule cong :premises (@p85) :args (@t80)) % 0.41/0.59 (step @p87 :rule quant-merge-prenex :args ((= (forall @t42 @t82) @t80))) % 0.41/0.59 (step @p88 :rule alpha_equiv :args (@t83 (@list @t49 @t48) (@list @t23 @t84))) % 0.41/0.59 (step @p89 :rule refl :args (@t56)) % 0.41/0.59 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t85)) % 0.41/0.59 (step @p91 :rule quant-miniscope-or :args ((= @t82 @t85))) % 0.41/0.59 (step @p92 :rule trans :premises (@p91 @p90)) % 0.41/0.59 (step @p93 :rule symm :premises (@p92)) % 0.41/0.59 (step @p94 :rule cong :premises (@p93) :args ((forall @t42 (or @t56 @t94)))) % 0.41/0.59 (step @p95 :rule trans :premises (@p94 @p87)) % 0.41/0.59 (step @p96 :rule trans :premises (@p95 @p86)) % 0.41/0.59 (step @p97 :rule refl :args (@t94)) % 0.41/0.59 (step @p98 :rule refl :args ((tptp.in @t24 @t29))) % 0.41/0.59 (step @p99 :rule refl :args (@t52)) % 0.41/0.59 (step @p100 :rule refl :args (@t24)) % 0.41/0.59 (step @p101 :rule cong :premises (@p100 @p99) :args (@t55)) % 0.41/0.59 (step @p102 :rule trans :premises (@p101 @p98)) % 0.41/0.59 (step @p103 :rule refl :args (@t39)) % 0.41/0.59 (step @p104 :rule ho_cong :premises (@p103 @p99)) % 0.41/0.59 (step @p105 :rule cong :premises (@p104 @p102) :args ((= (_ @t39 @t52) @t55))) % 0.41/0.59 (step @p106 :rule symm :premises (@p105)) % 0.41/0.59 (step @p107 :rule refl :args (@t40)) % 0.41/0.59 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.41/0.59 (step @p109 :rule refl :args (@t29)) % 0.41/0.59 (step @p110 :rule cong :premises (@p109 @p99) :args ((= @t29 @t52))) % 0.41/0.59 (step @p111 :rule symm :premises (@p110)) % 0.41/0.59 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.41/0.59 (step @p113 :rule ho_cong :premises (@p103 @p112)) % 0.41/0.59 (step @p114 :rule trans :premises (@p113 @p108)) % 0.41/0.59 (step @p115 :rule cong :premises (@p114) :args (@t95)) % 0.41/0.59 (step @p116 :rule nary_cong :premises (@p115 @p97) :args (@t96)) % 0.41/0.59 (step @p117 :rule cong :premises (@p116) :args ((forall @t42 @t96))) % 0.41/0.59 (step @p118 :rule trans :premises (@p117 @p96)) % 0.41/0.59 (step @p119 :rule bool-impl-elim :args (@t40 @t94)) % 0.41/0.59 (step @p120 :rule cong :premises (@p119) :args ((forall @t42 (=> @t40 @t94)))) % 0.41/0.59 (step @p121 :rule trans :premises (@p120 @p118)) % 0.41/0.59 (step @p122 :rule aci_norm :args ((= @t98 @t92))) % 0.41/0.59 (step @p123 :rule cong :premises (@p122) :args (@t99)) % 0.41/0.59 (step @p124 :rule quant-merge-prenex :args ((= (forall @t37 @t101) @t99))) % 0.41/0.59 (step @p125 :rule alpha_equiv :args (@t102 (@list @t84) (@list @t22))) % 0.41/0.59 (step @p126 :rule refl :args (@t91)) % 0.41/0.59 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t103)) % 0.41/0.59 (step @p128 :rule quant-miniscope-or :args ((= @t101 @t103))) % 0.41/0.59 (step @p129 :rule trans :premises (@p128 @p127)) % 0.41/0.59 (step @p130 :rule symm :premises (@p129)) % 0.41/0.59 (step @p131 :rule cong :premises (@p130) :args ((forall @t37 (or @t91 @t107)))) % 0.41/0.59 (step @p132 :rule trans :premises (@p131 @p124)) % 0.41/0.59 (step @p133 :rule trans :premises (@p132 @p123)) % 0.41/0.59 (step @p134 :rule refl :args (@t107)) % 0.41/0.59 (step @p135 :rule refl :args ((tptp.in @t23 @t29))) % 0.41/0.59 (step @p136 :rule refl :args (@t23)) % 0.41/0.59 (step @p137 :rule cong :premises (@p136 @p99) :args (@t90)) % 0.41/0.59 (step @p138 :rule trans :premises (@p137 @p135)) % 0.41/0.59 (step @p139 :rule refl :args (@t34)) % 0.41/0.59 (step @p140 :rule ho_cong :premises (@p139 @p99)) % 0.41/0.59 (step @p141 :rule cong :premises (@p140 @p138) :args ((= (_ @t34 @t52) @t90))) % 0.41/0.59 (step @p142 :rule symm :premises (@p141)) % 0.41/0.59 (step @p143 :rule refl :args (@t35)) % 0.41/0.59 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.41/0.59 (step @p145 :rule ho_cong :premises (@p139 @p112)) % 0.41/0.59 (step @p146 :rule trans :premises (@p145 @p144)) % 0.41/0.59 (step @p147 :rule cong :premises (@p146) :args (@t108)) % 0.41/0.59 (step @p148 :rule nary_cong :premises (@p147 @p134) :args (@t109)) % 0.41/0.59 (step @p149 :rule cong :premises (@p148) :args ((forall @t37 @t109))) % 0.41/0.59 (step @p150 :rule trans :premises (@p149 @p133)) % 0.41/0.59 (step @p151 :rule bool-impl-elim :args (@t35 @t107)) % 0.41/0.59 (step @p152 :rule cong :premises (@p151) :args ((forall @t37 (=> @t35 @t107)))) % 0.41/0.59 (step @p153 :rule trans :premises (@p152 @p150)) % 0.41/0.59 (step @p154 :rule refl :args ((tptp.subset @t25 @t22))) % 0.41/0.59 (step @p155 :rule refl :args (@t22)) % 0.41/0.59 (step @p156 :rule refl :args (@t86)) % 0.41/0.59 (step @p157 :rule cong :premises (@p156 @p155) :args (@t104)) % 0.41/0.59 (step @p158 :rule trans :premises (@p157 @p154)) % 0.41/0.59 (step @p159 :rule refl :args (tptp.subset)) % 0.41/0.59 (step @p160 :rule ho_cong :premises (@p159 @p156)) % 0.41/0.59 (step @p161 :rule ho_cong :premises (@p160 @p155)) % 0.41/0.59 (step @p162 :rule cong :premises (@p161 @p158) :args ((= (_ (_ tptp.subset @t86) @t22) @t104))) % 0.41/0.59 (step @p163 :rule symm :premises (@p162)) % 0.41/0.59 (step @p164 :rule refl :args (@t26)) % 0.41/0.60 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 0.41/0.60 (step @p166 :rule refl :args (@t25)) % 0.41/0.60 (step @p167 :rule cong :premises (@p166 @p156) :args ((= @t25 @t86))) % 0.41/0.60 (step @p168 :rule symm :premises (@p167)) % 0.41/0.60 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.41/0.60 (step @p170 :rule ho_cong :premises (@p159 @p169)) % 0.41/0.60 (step @p171 :rule ho_cong :premises (@p170 @p155)) % 0.41/0.60 (step @p172 :rule trans :premises (@p171 @p165)) % 0.41/0.60 (step @p173 :rule refl :args (@t105)) % 0.41/0.60 (step @p174 :rule refl :args (@t27)) % 0.41/0.60 (step @p175 :rule cong :premises (@p174 @p173) :args ((= @t27 @t105))) % 0.41/0.60 (step @p176 :rule symm :premises (@p175)) % 0.41/0.60 (step @p177 :rule eq_resolve :premises (@p174 @p176)) % 0.41/0.60 (step @p178 :rule cong :premises (@p177) :args (@t110)) % 0.41/0.60 (step @p179 :rule refl :args ((tptp.in @t22 @t29))) % 0.41/0.60 (step @p180 :rule cong :premises (@p155 @p99) :args (@t106)) % 0.41/0.60 (step @p181 :rule trans :premises (@p180 @p179)) % 0.41/0.60 (step @p182 :rule refl :args (@t30)) % 0.41/0.60 (step @p183 :rule ho_cong :premises (@p182 @p99)) % 0.41/0.60 (step @p184 :rule cong :premises (@p183 @p181) :args ((= (_ @t30 @t52) @t106))) % 0.41/0.60 (step @p185 :rule symm :premises (@p184)) % 0.41/0.60 (step @p186 :rule refl :args (@t31)) % 0.41/0.60 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 0.41/0.60 (step @p188 :rule ho_cong :premises (@p182 @p112)) % 0.41/0.60 (step @p189 :rule trans :premises (@p188 @p187)) % 0.41/0.60 (step @p190 :rule cong :premises (@p189) :args (@t111)) % 0.41/0.60 (step @p191 :rule nary_cong :premises (@p190 @p178 @p172) :args (@t112)) % 0.41/0.60 (step @p192 :rule cong :premises (@p191) :args ((forall @t32 @t112))) % 0.41/0.60 (step @p193 :rule aci_norm :args ((= (or @t111 (or @t110 @t26)) @t112))) % 0.41/0.60 (step @p194 :rule bool-impl-elim :args (@t27 @t26)) % 0.41/0.60 (step @p195 :rule refl :args (@t111)) % 0.41/0.60 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or @t111 @t28))) % 0.41/0.60 (step @p197 :rule trans :premises (@p196 @p193)) % 0.41/0.60 (step @p198 :rule bool-impl-elim :args (@t31 @t28)) % 0.41/0.60 (step @p199 :rule trans :premises (@p198 @p197)) % 0.41/0.60 (step @p200 :rule cong :premises (@p199) :args (@t33)) % 0.41/0.60 (step @p201 :rule trans :premises (@p200 @p192)) % 0.41/0.60 (step @p202 :rule refl :args (@t35)) % 0.41/0.60 (step @p203 :rule cong :premises (@p202 @p201) :args (@t36)) % 0.41/0.60 (step @p204 :rule cong :premises (@p203) :args (@t38)) % 0.41/0.60 (step @p205 :rule trans :premises (@p204 @p153)) % 0.41/0.60 (step @p206 :rule refl :args (@t40)) % 0.41/0.60 (step @p207 :rule cong :premises (@p206 @p205) :args (@t41)) % 0.41/0.60 (step @p208 :rule cong :premises (@p207) :args (@t43)) % 0.41/0.60 (step @p209 :rule trans :premises (@p208 @p121)) % 0.41/0.60 (step @p210 :rule cong :premises (@p35 @p209) :args (@t44)) % 0.41/0.60 (step @p211 :rule cong :premises (@p62 @p210) :args (@t45)) % 0.41/0.60 (step @p212 :rule cong :premises (@p80 @p211) :args (@t46)) % 0.41/0.60 (step @p213 :rule cong :premises (@p212) :args (@t47)) % 0.41/0.60 (step @p214 :rule trans :premises (@p213 @p84)) % 0.41/0.60 (step @p215 :rule eq_resolve :premises (@p4 @p214)) % 0.41/0.60 (step @p216 :rule not_implies_elim2 :premises (@p215)) % 0.41/0.60 (step @p217 :rule not_implies_elim1 :premises (@p216)) % 0.41/0.60 (step @p218 :rule not_implies_elim2 :premises (@p216)) % 0.41/0.60 (step @p219 :rule not_implies_elim1 :premises (@p218)) % 0.41/0.60 (step @p220 :rule instantiate :premises (@p219) :args ((@list @t115 @t114 @t118))) % 0.41/0.60 (step @p221 :rule not_implies_elim1 :premises (@p215)) % 0.41/0.60 (step @p222 :rule instantiate :premises (@p221) :args ((@list @t116 @t113))) % 0.41/0.60 (step @p223 :rule not_implies_elim2 :premises (@p218)) % 0.41/0.60 (step @p224 :rule skolemize :premises (@p223)) % 0.41/0.60 (step @p225 :rule cnf_or_neg :args (@t123 4)) % 0.41/0.60 (step @p226 :rule chain_m_resolution :premises (@p225 @p224) :args ((not @t119) @t124 @t125)) % 0.41/0.60 (step @p227 :rule cnf_or_pos :args (@t127)) % 0.41/0.60 (step @p228 :rule reordering :premises (@p227) :args ((or @t119 @t126 (not @t127)))) % 0.41/0.60 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p222) :args (@t126 @t128 (@list @t119 @t127))) % 0.41/0.60 (step @p230 :rule skolemize :premises (@p229)) % 0.41/0.60 (step @p231 :rule bool-double-not-elim :args (@t129)) % 0.41/0.60 (step @p232 :rule refl :args (@t132)) % 0.41/0.60 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t132 (not @t131)))) % 0.41/0.60 (step @p234 :rule cnf_or_neg :args (@t132 0)) % 0.41/0.60 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 0.41/0.60 (step @p236 :rule reordering :premises (@p235) :args ((or @t129 @t132))) % 0.41/0.60 (step @p237 :rule chain_m_resolution :premises (@p236 @p230) :args (@t129 @t124 @t133)) % 0.41/0.60 (step @p238 :rule cnf_or_pos :args (@t135)) % 0.41/0.60 (step @p239 :rule reordering :premises (@p238) :args ((or @t131 @t134 (not @t135)))) % 0.41/0.60 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p220) :args (@t134 (@list false false) (@list @t129 @t135))) % 0.41/0.60 (step @p241 :rule cnf_or_neg :args (@t132 1)) % 0.41/0.60 (step @p242 :rule chain_m_resolution :premises (@p241 @p230) :args ((not @t130) @t124 @t133)) % 0.41/0.60 (step @p243 :rule bool-double-not-elim :args (@t120)) % 0.41/0.60 (step @p244 :rule refl :args (@t123)) % 0.41/0.60 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or @t123 (not @t121)))) % 0.41/0.60 (step @p246 :rule cnf_or_neg :args (@t123 3)) % 0.41/0.60 (step @p247 :rule eq_resolve :premises (@p246 @p245)) % 0.41/0.60 (step @p248 :rule reordering :premises (@p247) :args ((or @t120 @t123))) % 0.41/0.60 (step @p249 :rule chain_m_resolution :premises (@p248 @p224) :args (@t120 @t124 @t125)) % 0.41/0.60 (step @p250 :rule cnf_or_pos :args (@t137)) % 0.41/0.60 (step @p251 :rule reordering :premises (@p250) :args ((or @t121 @t130 @t136 @t138))) % 0.41/0.60 (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p242 @p240) :args (@t138 (@list false true false) (@list @t120 @t130 @t134))) % 0.41/0.60 (assume-push @p259 @t139) % 0.41/0.60 (step @p254 :rule instantiate :premises (@p217) :args ((@list @t115 @t113 @t118))) % 0.41/0.60 (step-pop @p260 :rule scope :premises (@p254)) % 0.41/0.60 (step @p255 :rule process_scope :premises (@p260) :args (@t137)) % 0.41/0.60 (step @p257 :rule implies_elim :premises (@p255)) % 0.41/0.60 (step @p258 false :rule chain_m_resolution :premises (@p257 @p252 @p217) :args (false @t128 (@list @t137 @t139))) % 0.41/0.60 ) % 0.41/0.60 % SZS output end Proof % 0.41/0.60 % cvc5 exiting %------------------------------------------------------------------------------