%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU803^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:53:16 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SEU803^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:51:41 EDT 2026 % 0.20/0.35 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (define tptp.surjective () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xf" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.in _let_1) _let_4) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (= (_ (_ (_ (_ tptp.ap _let_5) _let_4) _let_3) _let_2) _let_1)))))))))))) % 0.37/0.59 (define @t1 () (@var "Xg" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t3 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.59 (define @t5 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.37/0.59 (define @t6 () (_ @t5 @t4)) % 0.37/0.59 (define @t7 () (_ (_ (_ tptp.ap @t3) @t2) @t1)) % 0.37/0.59 (define @t8 () (_ @t7 @t6)) % 0.37/0.59 (define @t9 () (_ tptp.in @t4)) % 0.37/0.59 (define @t10 () (_ @t9 @t2)) % 0.37/0.59 (define @t11 () (=> @t10 (= @t8 @t4))) % 0.37/0.59 (define @t12 () (@list @t4)) % 0.37/0.59 (define @t13 () (forall @t12 @t11)) % 0.37/0.59 (define @t14 () (=> @t13 (_ (_ (_ tptp.surjective @t3) @t2) @t1))) % 0.37/0.59 (define @t15 () (_ (_ tptp.funcSet @t3) @t2)) % 0.37/0.59 (define @t16 () (_ tptp.in @t1)) % 0.37/0.59 (define @t17 () (_ @t16 @t15)) % 0.37/0.59 (define @t18 () (=> @t17 @t14)) % 0.37/0.59 (define @t19 () (@list @t1)) % 0.37/0.59 (define @t20 () (forall @t19 @t18)) % 0.37/0.59 (define @t21 () (_ (_ tptp.in @t6) @t3)) % 0.37/0.59 (define @t22 () (forall @t12 (=> @t10 @t21))) % 0.37/0.59 (define @t23 () (=> @t22 @t20)) % 0.37/0.59 (define @t24 () (@list @t2 @t3 @t5)) % 0.37/0.59 (define @t25 () (forall @t24 @t23)) % 0.37/0.59 (define @t26 () (not @t25)) % 0.37/0.59 (define @t27 () (@var "Xy" $$unsorted)) % 0.37/0.59 (define @t28 () (@var "Xf" $$unsorted)) % 0.37/0.59 (define @t29 () (_ (_ (_ (_ tptp.ap @t2) @t3) @t28) @t27)) % 0.37/0.59 (define @t30 () (_ (_ tptp.in @t27) @t2)) % 0.37/0.59 (define @t31 () (and @t30 (= @t29 @t4))) % 0.37/0.59 (define @t32 () (@list @t27)) % 0.37/0.59 (define @t33 () (exists @t32 @t31)) % 0.37/0.59 (define @t34 () (_ @t9 @t3)) % 0.37/0.59 (define @t35 () (=> @t34 @t33)) % 0.37/0.59 (define @t36 () (forall @t12 @t35)) % 0.37/0.59 (define @t37 () (@list @t2 @t3 @t28)) % 0.37/0.59 (define @t38 () (lambda @t37 @t36)) % 0.37/0.59 (define @t39 () (@var "BOUND_VARIABLE_7630" $$unsorted)) % 0.37/0.59 (define @t40 () (tptp.ap @t3 @t2 @t39 @t27)) % 0.37/0.59 (define @t41 () (@var "BOUND_VARIABLE_7632" $$unsorted)) % 0.37/0.59 (define @t42 () (not (= @t40 @t41))) % 0.37/0.59 (define @t43 () (not (tptp.in @t27 @t3))) % 0.37/0.59 (define @t44 () (or @t43 @t42)) % 0.37/0.59 (define @t45 () (forall @t32 @t44)) % 0.37/0.59 (define @t46 () (not @t45)) % 0.37/0.59 (define @t47 () (not (tptp.in @t41 @t2))) % 0.37/0.59 (define @t48 () (_ @t5 @t4)) % 0.37/0.59 (define @t49 () (tptp.in @t4 @t2)) % 0.37/0.59 (define @t50 () (not @t49)) % 0.37/0.59 (define @t51 () (not (forall @t12 (or @t50 (= @t4 (tptp.ap @t3 @t2 @t39 @t48)))))) % 0.37/0.59 (define @t52 () (tptp.funcSet @t3 @t2)) % 0.37/0.59 (define @t53 () (not (tptp.in @t39 @t52))) % 0.37/0.59 (define @t54 () (tptp.in @t48 @t3)) % 0.37/0.59 (define @t55 () (forall @t12 (or @t50 @t54))) % 0.37/0.59 (define @t56 () (not @t55)) % 0.37/0.59 (define @t57 () (or @t56 @t53 @t51 @t47 @t46)) % 0.37/0.59 (define @t58 () (or @t53 @t51 @t47 @t46)) % 0.37/0.59 (define @t59 () (or @t56 @t58)) % 0.37/0.59 (define @t60 () (@list @t2 @t3 @t5 @t39 @t41)) % 0.37/0.59 (define @t61 () (forall @t60 @t59)) % 0.37/0.59 (define @t62 () (@list @t39 @t41)) % 0.37/0.59 (define @t63 () (forall @t62 @t59)) % 0.37/0.59 (define @t64 () (forall @t62 @t58)) % 0.37/0.59 (define @t65 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 0.37/0.59 (define @t66 () (or @t56 @t64)) % 0.37/0.59 (define @t67 () (tptp.ap @t3 @t2 @t1 @t27)) % 0.37/0.59 (define @t68 () (not (tptp.in @t65 @t2))) % 0.37/0.59 (define @t69 () (tptp.ap @t3 @t2 @t1 @t48)) % 0.37/0.59 (define @t70 () (forall @t12 (or @t50 (= @t4 @t69)))) % 0.37/0.59 (define @t71 () (not @t70)) % 0.37/0.59 (define @t72 () (tptp.in @t1 @t52)) % 0.37/0.59 (define @t73 () (not @t72)) % 0.37/0.59 (define @t74 () (@list @t1 @t65)) % 0.37/0.59 (define @t75 () (forall @t74 (or @t73 @t71 @t68 (not (forall @t32 (or @t43 (not (= @t67 @t65)))))))) % 0.37/0.59 (define @t76 () (not (= @t65 @t67))) % 0.37/0.59 (define @t77 () (or @t43 @t76)) % 0.37/0.59 (define @t78 () (forall @t32 @t77)) % 0.37/0.59 (define @t79 () (not @t78)) % 0.37/0.59 (define @t80 () (or @t73 @t71 @t68 @t79)) % 0.37/0.59 (define @t81 () (or @t68 @t79)) % 0.37/0.59 (define @t82 () (or @t73 @t71 @t81)) % 0.37/0.59 (define @t83 () (forall @t74 @t82)) % 0.37/0.59 (define @t84 () (@list @t65)) % 0.37/0.59 (define @t85 () (forall @t84 @t82)) % 0.37/0.59 (define @t86 () (forall @t84 @t81)) % 0.37/0.59 (define @t87 () (or @t73 @t71 @t86)) % 0.37/0.59 (define @t88 () (forall @t12 (or @t50 (not (forall @t32 (or @t43 (not (= @t4 @t67)))))))) % 0.37/0.59 (define @t89 () (not @t17)) % 0.37/0.59 (define @t90 () (or @t89 @t71 @t88)) % 0.37/0.59 (define @t91 () (=> @t70 @t88)) % 0.37/0.59 (define @t92 () (lambda (@list @t28) (forall @t12 (or @t50 (not (forall @t32 (or @t43 (not (= @t4 (tptp.ap @t3 @t2 @t28 @t27)))))))))) % 0.37/0.59 (define @t93 () (@var "BOUND_VARIABLE_7541" $$unsorted)) % 0.37/0.59 (define @t94 () (not (tptp.in @t4 @t93))) % 0.37/0.59 (define @t95 () (lambda (@list @t93 @t28) (forall @t12 (or @t94 (not (forall @t32 (or @t43 (not (= @t4 (tptp.ap @t3 @t93 @t28 @t27)))))))))) % 0.37/0.59 (define @t96 () (tptp.in @t27 @t2)) % 0.37/0.59 (define @t97 () (not @t96)) % 0.37/0.59 (define @t98 () (tptp.ap @t2 @t3 @t28 @t27)) % 0.37/0.59 (define @t99 () (not (forall @t32 (or @t97 (not (= @t4 @t98)))))) % 0.37/0.59 (define @t100 () (tptp.in @t4 @t3)) % 0.37/0.59 (define @t101 () (lambda @t37 (forall @t12 (or (not @t100) @t99)))) % 0.37/0.59 (define @t102 () (= @t4 @t8)) % 0.37/0.59 (define @t103 () (not @t10)) % 0.37/0.59 (define @t104 () (or @t103 @t102)) % 0.37/0.59 (define @t105 () (=> @t13 (_ (_ (_ @t101 @t3) @t2) @t1))) % 0.37/0.59 (define @t106 () (=> @t17 @t105)) % 0.37/0.59 (define @t107 () (forall @t19 @t106)) % 0.37/0.59 (define @t108 () (or @t103 @t21)) % 0.37/0.59 (define @t109 () (=> @t22 @t107)) % 0.37/0.59 (define @t110 () (forall @t24 @t109)) % 0.37/0.59 (define @t111 () (not @t34)) % 0.37/0.59 (define @t112 () (or @t111 @t99)) % 0.37/0.59 (define @t113 () (= @t4 @t29)) % 0.37/0.59 (define @t114 () (not @t113)) % 0.37/0.59 (define @t115 () (not @t30)) % 0.37/0.59 (define @t116 () (or @t115 @t114)) % 0.37/0.59 (define @t117 () (and @t30 @t113)) % 0.37/0.59 (define @t118 () (forall @t32 (not @t117))) % 0.37/0.59 (define @t119 () (not @t118)) % 0.37/0.59 (define @t120 () (forall @t60 (or @t56 @t53 @t51 @t47 (not (forall @t32 (or @t43 (not (= @t41 @t40)))))))) % 0.37/0.59 (define @t121 () (@quantifiers_skolemize @t120 3)) % 0.37/0.59 (define @t122 () (@quantifiers_skolemize @t120 0)) % 0.37/0.59 (define @t123 () (@quantifiers_skolemize @t120 1)) % 0.37/0.59 (define @t124 () (@quantifiers_skolemize @t120 4)) % 0.37/0.59 (define @t125 () (forall @t32 (or (not (tptp.in @t27 @t123)) (not (= @t124 (tptp.ap @t123 @t122 @t121 @t27)))))) % 0.37/0.59 (define @t126 () (not @t125)) % 0.37/0.59 (define @t127 () (tptp.in @t124 @t122)) % 0.37/0.59 (define @t128 () (not @t127)) % 0.37/0.59 (define @t129 () (@quantifiers_skolemize @t120 2)) % 0.37/0.59 (define @t130 () (_ @t129 @t4)) % 0.37/0.59 (define @t131 () (not (tptp.in @t4 @t122))) % 0.37/0.59 (define @t132 () (forall @t12 (or @t131 (= @t4 (tptp.ap @t123 @t122 @t121 @t130))))) % 0.37/0.59 (define @t133 () (not @t132)) % 0.37/0.59 (define @t134 () (forall @t12 (or @t131 (tptp.in @t130 @t123)))) % 0.37/0.59 (define @t135 () (not @t134)) % 0.37/0.59 (define @t136 () (or @t135 (not (tptp.in @t121 (tptp.funcSet @t123 @t122))) @t133 @t128 @t126)) % 0.37/0.59 (define @t137 () (@list true)) % 0.37/0.59 (define @t138 () (@list @t136)) % 0.37/0.59 (define @t139 () (@list @t124)) % 0.37/0.59 (define @t140 () (_ @t129 @t124)) % 0.37/0.59 (define @t141 () (= @t124 (tptp.ap @t123 @t122 @t121 @t140))) % 0.37/0.59 (define @t142 () (or @t128 @t141)) % 0.37/0.59 (define @t143 () (@list false false)) % 0.37/0.59 (define @t144 () (tptp.in @t140 @t123)) % 0.37/0.59 (define @t145 () (or @t128 @t144)) % 0.37/0.59 (define @t146 () (not @t141)) % 0.37/0.59 (define @t147 () (not @t144)) % 0.37/0.59 (define @t148 () (or @t147 @t146)) % 0.37/0.59 (define @t149 () (not @t148)) % 0.37/0.59 (assume @p1 @t26) % 0.37/0.59 (assume @p2 true) % 0.37/0.59 (step @p3 (= tptp.surjective @t38) :rule refl :args (@t38)) % 0.37/0.59 (step @p4 :rule eq-symm :args (@t40 @t41)) % 0.37/0.59 (step @p5 :rule cong :premises (@p4) :args (@t42)) % 0.37/0.59 (step @p6 :rule refl :args (@t43)) % 0.37/0.59 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t44)) % 0.37/0.59 (step @p8 :rule cong :premises (@p7) :args (@t45)) % 0.37/0.59 (step @p9 :rule cong :premises (@p8) :args (@t46)) % 0.37/0.59 (step @p10 :rule refl :args (@t47)) % 0.37/0.59 (step @p11 :rule refl :args (@t51)) % 0.37/0.59 (step @p12 :rule refl :args (@t53)) % 0.37/0.59 (step @p13 :rule refl :args (@t56)) % 0.37/0.59 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11 @p10 @p9) :args (@t57)) % 0.37/0.59 (step @p15 :rule aci_norm :args ((= @t59 @t57))) % 0.37/0.59 (step @p16 :rule trans :premises (@p15 @p14)) % 0.37/0.59 (step @p17 :rule cong :premises (@p16) :args (@t61)) % 0.37/0.59 (step @p18 :rule quant-merge-prenex :args ((= (forall @t24 @t63) @t61))) % 0.37/0.59 (step @p19 :rule alpha_equiv :args (@t64 (@list @t39 @t41) (@list @t1 @t65))) % 0.37/0.59 (step @p20 :rule refl :args (@t56)) % 0.37/0.59 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t66)) % 0.37/0.59 (step @p22 :rule quant-miniscope-or :args ((= @t63 @t66))) % 0.37/0.59 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.59 (step @p24 :rule symm :premises (@p23)) % 0.37/0.59 (step @p25 :rule cong :premises (@p24) :args ((forall @t24 (or @t56 @t75)))) % 0.37/0.59 (step @p26 :rule trans :premises (@p25 @p18)) % 0.37/0.59 (step @p27 :rule trans :premises (@p26 @p17)) % 0.37/0.59 (step @p28 :rule bool-impl-elim :args (@t55 @t75)) % 0.37/0.59 (step @p29 :rule cong :premises (@p28) :args ((forall @t24 (=> @t55 @t75)))) % 0.37/0.59 (step @p30 :rule trans :premises (@p29 @p27)) % 0.37/0.59 (step @p31 :rule eq-symm :args (@t65 @t67)) % 0.37/0.59 (step @p32 :rule cong :premises (@p31) :args (@t76)) % 0.37/0.59 (step @p33 :rule nary_cong :premises (@p6 @p32) :args (@t77)) % 0.37/0.59 (step @p34 :rule cong :premises (@p33) :args (@t78)) % 0.37/0.59 (step @p35 :rule cong :premises (@p34) :args (@t79)) % 0.37/0.59 (step @p36 :rule refl :args (@t68)) % 0.37/0.59 (step @p37 :rule refl :args (@t71)) % 0.37/0.59 (step @p38 :rule refl :args (@t73)) % 0.37/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36 @p35) :args (@t80)) % 0.37/0.59 (step @p40 :rule aci_norm :args ((= @t82 @t80))) % 0.37/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.59 (step @p42 :rule cong :premises (@p41) :args (@t83)) % 0.37/0.59 (step @p43 :rule quant-merge-prenex :args ((= (forall @t19 @t85) @t83))) % 0.37/0.59 (step @p44 :rule alpha_equiv :args (@t86 (@list @t65) (@list @t4))) % 0.37/0.59 (step @p45 :rule refl :args (@t71)) % 0.37/0.59 (step @p46 :rule refl :args (@t73)) % 0.37/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t87)) % 0.37/0.59 (step @p48 :rule quant-miniscope-or :args ((= @t85 @t87))) % 0.37/0.59 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.59 (step @p50 :rule symm :premises (@p49)) % 0.37/0.59 (step @p51 :rule cong :premises (@p50) :args ((forall @t19 (or @t73 @t71 @t88)))) % 0.37/0.59 (step @p52 :rule trans :premises (@p51 @p43)) % 0.37/0.59 (step @p53 :rule trans :premises (@p52 @p42)) % 0.37/0.59 (step @p54 :rule refl :args (@t88)) % 0.37/0.59 (step @p55 :rule refl :args ((tptp.in @t1 @t15))) % 0.37/0.59 (step @p56 :rule refl :args (@t52)) % 0.37/0.59 (step @p57 :rule refl :args (@t1)) % 0.37/0.59 (step @p58 :rule cong :premises (@p57 @p56) :args (@t72)) % 0.37/0.59 (step @p59 :rule trans :premises (@p58 @p55)) % 0.37/0.59 (step @p60 :rule refl :args (@t16)) % 0.37/0.59 (step @p61 :rule ho_cong :premises (@p60 @p56)) % 0.37/0.59 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t16 @t52) @t72))) % 0.37/0.59 (step @p63 :rule symm :premises (@p62)) % 0.37/0.59 (step @p64 :rule refl :args (@t17)) % 0.37/0.59 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.37/0.59 (step @p66 :rule refl :args (@t15)) % 0.37/0.59 (step @p67 :rule cong :premises (@p66 @p56) :args ((= @t15 @t52))) % 0.37/0.59 (step @p68 :rule symm :premises (@p67)) % 0.37/0.59 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.37/0.59 (step @p70 :rule ho_cong :premises (@p60 @p69)) % 0.37/0.59 (step @p71 :rule trans :premises (@p70 @p65)) % 0.37/0.59 (step @p72 :rule cong :premises (@p71) :args (@t89)) % 0.37/0.59 (step @p73 :rule nary_cong :premises (@p72 @p45 @p54) :args (@t90)) % 0.37/0.59 (step @p74 :rule cong :premises (@p73) :args ((forall @t19 @t90))) % 0.37/0.59 (step @p75 :rule trans :premises (@p74 @p53)) % 0.37/0.59 (step @p76 :rule aci_norm :args ((= (or @t89 (or @t71 @t88)) @t90))) % 0.37/0.59 (step @p77 :rule bool-impl-elim :args (@t70 @t88)) % 0.37/0.59 (step @p78 :rule refl :args (@t89)) % 0.37/0.59 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t89 @t91))) % 0.37/0.59 (step @p80 :rule trans :premises (@p79 @p76)) % 0.37/0.59 (step @p81 :rule bool-impl-elim :args (@t17 @t91)) % 0.37/0.59 (step @p82 :rule trans :premises (@p81 @p80)) % 0.37/0.59 (step @p83 :rule cong :premises (@p82) :args ((forall @t19 (=> @t17 @t91)))) % 0.37/0.59 (step @p84 :rule trans :premises (@p83 @p75)) % 0.37/0.59 (step @p85 :rule beta-reduce :args ((= (_ @t92 @t1) @t88))) % 0.37/0.59 (step @p86 :rule refl :args (@t1)) % 0.37/0.59 (step @p87 :rule beta-reduce :args ((= (_ @t95 @t2) @t92))) % 0.37/0.59 (step @p88 :rule refl :args (@t2)) % 0.37/0.59 (step @p89 :rule beta-reduce :args ((= (_ (lambda (@list @t2 @t93 @t28) (forall @t12 (or @t94 (not (forall @t32 (or @t97 (not (= @t4 (tptp.ap @t2 @t93 @t28 @t27))))))))) @t3) @t95))) % 0.37/0.59 (step @p90 :rule refl :args (@t3)) % 0.37/0.59 (step @p91 :rule alpha_equiv :args (@t101 (@list @t3) (@list @t93))) % 0.37/0.59 (step @p92 :rule ho_cong :premises (@p91 @p90)) % 0.37/0.59 (step @p93 :rule trans :premises (@p92 @p89)) % 0.37/0.59 (step @p94 :rule ho_cong :premises (@p93 @p88)) % 0.37/0.59 (step @p95 :rule trans :premises (@p94 @p87)) % 0.37/0.59 (step @p96 :rule ho_cong :premises (@p95 @p86)) % 0.37/0.59 (step @p97 :rule trans :premises (@p96 @p85)) % 0.37/0.59 (step @p98 :rule refl :args ((tptp.ap @t3 @t2 @t1 @t6))) % 0.37/0.59 (step @p99 :rule refl :args (@t48)) % 0.37/0.59 (step @p100 :rule refl :args (@t2)) % 0.37/0.59 (step @p101 :rule cong :premises (@p90 @p100 @p57 @p99) :args (@t69)) % 0.37/0.59 (step @p102 :rule trans :premises (@p101 @p98)) % 0.37/0.59 (step @p103 :rule refl :args (@t7)) % 0.37/0.59 (step @p104 :rule ho_cong :premises (@p103 @p99)) % 0.37/0.59 (step @p105 :rule cong :premises (@p104 @p102) :args ((= (_ @t7 @t48) @t69))) % 0.37/0.59 (step @p106 :rule symm :premises (@p105)) % 0.37/0.59 (step @p107 :rule refl :args (@t8)) % 0.37/0.59 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.37/0.59 (step @p109 :rule refl :args (@t6)) % 0.37/0.59 (step @p110 :rule cong :premises (@p109 @p99) :args ((= @t6 @t48))) % 0.37/0.59 (step @p111 :rule symm :premises (@p110)) % 0.37/0.59 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.37/0.59 (step @p113 :rule ho_cong :premises (@p103 @p112)) % 0.37/0.59 (step @p114 :rule trans :premises (@p113 @p108)) % 0.37/0.59 (step @p115 :rule refl :args (@t4)) % 0.37/0.59 (step @p116 :rule cong :premises (@p115 @p114) :args (@t102)) % 0.37/0.59 (step @p117 :rule refl :args (@t49)) % 0.37/0.59 (step @p118 :rule refl :args (@t10)) % 0.37/0.59 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t10 @t49))) % 0.37/0.59 (step @p120 :rule symm :premises (@p119)) % 0.37/0.59 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.37/0.59 (step @p122 :rule cong :premises (@p121) :args (@t103)) % 0.37/0.59 (step @p123 :rule nary_cong :premises (@p122 @p116) :args (@t104)) % 0.37/0.59 (step @p124 :rule cong :premises (@p123) :args ((forall @t12 @t104))) % 0.37/0.59 (step @p125 :rule bool-impl-elim :args (@t10 @t102)) % 0.37/0.59 (step @p126 :rule cong :premises (@p125) :args ((forall @t12 (=> @t10 @t102)))) % 0.37/0.59 (step @p127 :rule trans :premises (@p126 @p124)) % 0.37/0.59 (step @p128 :rule eq-symm :args (@t8 @t4)) % 0.37/0.59 (step @p129 :rule refl :args (@t10)) % 0.37/0.59 (step @p130 :rule cong :premises (@p129 @p128) :args (@t11)) % 0.37/0.59 (step @p131 :rule cong :premises (@p130) :args (@t13)) % 0.37/0.59 (step @p132 :rule trans :premises (@p131 @p127)) % 0.37/0.59 (step @p133 :rule cong :premises (@p132 @p97) :args (@t105)) % 0.37/0.59 (step @p134 :rule refl :args (@t17)) % 0.37/0.59 (step @p135 :rule cong :premises (@p134 @p133) :args (@t106)) % 0.37/0.59 (step @p136 :rule cong :premises (@p135) :args (@t107)) % 0.37/0.59 (step @p137 :rule trans :premises (@p136 @p84)) % 0.37/0.59 (step @p138 :rule refl :args ((tptp.in @t6 @t3))) % 0.37/0.59 (step @p139 :rule cong :premises (@p99 @p90) :args (@t54)) % 0.37/0.59 (step @p140 :rule trans :premises (@p139 @p138)) % 0.37/0.59 (step @p141 :rule refl :args (tptp.in)) % 0.37/0.59 (step @p142 :rule ho_cong :premises (@p141 @p99)) % 0.37/0.59 (step @p143 :rule ho_cong :premises (@p142 @p90)) % 0.37/0.59 (step @p144 :rule cong :premises (@p143 @p140) :args ((= (_ (_ tptp.in @t48) @t3) @t54))) % 0.37/0.59 (step @p145 :rule symm :premises (@p144)) % 0.37/0.59 (step @p146 :rule refl :args (@t21)) % 0.37/0.59 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.37/0.59 (step @p148 :rule ho_cong :premises (@p141 @p112)) % 0.37/0.59 (step @p149 :rule ho_cong :premises (@p148 @p90)) % 0.37/0.59 (step @p150 :rule trans :premises (@p149 @p147)) % 0.37/0.59 (step @p151 :rule nary_cong :premises (@p122 @p150) :args (@t108)) % 0.37/0.59 (step @p152 :rule cong :premises (@p151) :args ((forall @t12 @t108))) % 0.37/0.59 (step @p153 :rule bool-impl-elim :args (@t10 @t21)) % 0.37/0.59 (step @p154 :rule cong :premises (@p153) :args (@t22)) % 0.37/0.59 (step @p155 :rule trans :premises (@p154 @p152)) % 0.37/0.59 (step @p156 :rule cong :premises (@p155 @p137) :args (@t109)) % 0.37/0.59 (step @p157 :rule cong :premises (@p156) :args (@t110)) % 0.37/0.59 (step @p158 :rule trans :premises (@p157 @p30)) % 0.37/0.59 (step @p159 :rule cong :premises (@p158) :args ((not @t110))) % 0.37/0.59 (step @p160 :rule refl :args (@t3)) % 0.37/0.59 (step @p161 :rule refl :args (@t99)) % 0.37/0.59 (step @p162 :rule refl :args (@t100)) % 0.37/0.59 (step @p163 :rule refl :args (@t34)) % 0.37/0.59 (step @p164 :rule cong :premises (@p163 @p162) :args ((= @t34 @t100))) % 0.37/0.59 (step @p165 :rule symm :premises (@p164)) % 0.37/0.59 (step @p166 :rule eq_resolve :premises (@p163 @p165)) % 0.37/0.59 (step @p167 :rule cong :premises (@p166) :args (@t111)) % 0.37/0.59 (step @p168 :rule nary_cong :premises (@p167 @p161) :args (@t112)) % 0.37/0.59 (step @p169 :rule cong :premises (@p168) :args ((forall @t12 @t112))) % 0.37/0.59 (step @p170 :rule bool-impl-elim :args (@t34 @t99)) % 0.37/0.59 (step @p171 :rule cong :premises (@p170) :args ((forall @t12 (=> @t34 @t99)))) % 0.37/0.59 (step @p172 :rule trans :premises (@p171 @p169)) % 0.37/0.59 (step @p173 :rule refl :args (@t98)) % 0.37/0.59 (step @p174 :rule refl :args (@t29)) % 0.37/0.59 (step @p175 :rule cong :premises (@p174 @p173) :args ((= @t29 @t98))) % 0.37/0.59 (step @p176 :rule symm :premises (@p175)) % 0.37/0.59 (step @p177 :rule eq_resolve :premises (@p174 @p176)) % 0.37/0.59 (step @p178 :rule cong :premises (@p115 @p177) :args (@t113)) % 0.37/0.59 (step @p179 :rule cong :premises (@p178) :args (@t114)) % 0.37/0.59 (step @p180 :rule refl :args (@t96)) % 0.37/0.59 (step @p181 :rule refl :args (@t30)) % 0.37/0.59 (step @p182 :rule cong :premises (@p181 @p180) :args ((= @t30 @t96))) % 0.37/0.59 (step @p183 :rule symm :premises (@p182)) % 0.37/0.59 (step @p184 :rule eq_resolve :premises (@p181 @p183)) % 0.37/0.59 (step @p185 :rule cong :premises (@p184) :args (@t115)) % 0.37/0.59 (step @p186 :rule nary_cong :premises (@p185 @p179) :args (@t116)) % 0.37/0.59 (step @p187 :rule cong :premises (@p186) :args ((forall @t32 @t116))) % 0.37/0.59 (step @p188 :rule bool-and-de-morgan :args (@t30 @t113 true)) % 0.37/0.59 (step @p189 :rule cong :premises (@p188) :args (@t118)) % 0.37/0.59 (step @p190 :rule trans :premises (@p189 @p187)) % 0.37/0.59 (step @p191 :rule cong :premises (@p190) :args (@t119)) % 0.37/0.59 (step @p192 :rule exists-elim :args ((= (exists @t32 @t117) @t119))) % 0.37/0.59 (step @p193 :rule trans :premises (@p192 @p191)) % 0.37/0.59 (step @p194 :rule eq-symm :args (@t29 @t4)) % 0.37/0.59 (step @p195 :rule refl :args (@t30)) % 0.37/0.59 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t31)) % 0.37/0.59 (step @p197 :rule cong :premises (@p196) :args (@t33)) % 0.37/0.59 (step @p198 :rule trans :premises (@p197 @p193)) % 0.37/0.59 (step @p199 :rule refl :args (@t34)) % 0.37/0.59 (step @p200 :rule cong :premises (@p199 @p198) :args (@t35)) % 0.37/0.59 (step @p201 :rule cong :premises (@p200) :args (@t36)) % 0.37/0.59 (step @p202 :rule trans :premises (@p201 @p172)) % 0.37/0.59 (step @p203 :rule cong :premises (@p202) :args (@t38)) % 0.37/0.59 (step @p204 :rule trans :premises (@p3 @p203)) % 0.37/0.59 (step @p205 :rule ho_cong :premises (@p204 @p160)) % 0.37/0.59 (step @p206 :rule ho_cong :premises (@p205 @p88)) % 0.37/0.59 (step @p207 :rule ho_cong :premises (@p206 @p86)) % 0.37/0.59 (step @p208 :rule refl :args (@t13)) % 0.37/0.59 (step @p209 :rule cong :premises (@p208 @p207) :args (@t14)) % 0.37/0.59 (step @p210 :rule cong :premises (@p134 @p209) :args (@t18)) % 0.37/0.59 (step @p211 :rule cong :premises (@p210) :args (@t20)) % 0.37/0.59 (step @p212 :rule refl :args (@t22)) % 0.37/0.59 (step @p213 :rule cong :premises (@p212 @p211) :args (@t23)) % 0.37/0.59 (step @p214 :rule cong :premises (@p213) :args (@t25)) % 0.37/0.59 (step @p215 :rule cong :premises (@p214) :args (@t26)) % 0.37/0.59 (step @p216 :rule trans :premises (@p215 @p159)) % 0.37/0.59 (step @p217 :rule eq_resolve :premises (@p1 @p216)) % 0.37/0.59 (step @p218 :rule skolemize :premises (@p217)) % 0.37/0.59 (step @p219 :rule bool-double-not-elim :args (@t125)) % 0.37/0.59 (step @p220 :rule refl :args (@t136)) % 0.37/0.59 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t136 (not @t126)))) % 0.37/0.59 (step @p222 :rule cnf_or_neg :args (@t136 4)) % 0.37/0.59 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 0.37/0.59 (step @p224 :rule reordering :premises (@p223) :args ((or @t125 @t136))) % 0.37/0.59 (step @p225 :rule chain_m_resolution :premises (@p224 @p218) :args (@t125 @t137 @t138)) % 0.37/0.59 (step @p226 :rule bool-double-not-elim :args (@t132)) % 0.37/0.59 (step @p227 :rule nary_cong :premises (@p220 @p226) :args ((or @t136 (not @t133)))) % 0.37/0.59 (step @p228 :rule cnf_or_neg :args (@t136 2)) % 0.37/0.59 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.37/0.59 (step @p230 :rule reordering :premises (@p229) :args ((or @t132 @t136))) % 0.37/0.59 (step @p231 :rule chain_m_resolution :premises (@p230 @p218) :args (@t132 @t137 @t138)) % 0.37/0.59 (step @p232 :rule instantiate :premises (@p231) :args (@t139)) % 0.37/0.59 (step @p233 :rule bool-double-not-elim :args (@t127)) % 0.37/0.59 (step @p234 :rule nary_cong :premises (@p220 @p233) :args ((or @t136 (not @t128)))) % 0.37/0.59 (step @p235 :rule cnf_or_neg :args (@t136 3)) % 0.37/0.59 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 0.37/0.59 (step @p237 :rule reordering :premises (@p236) :args ((or @t127 @t136))) % 0.37/0.59 (step @p238 :rule chain_m_resolution :premises (@p237 @p218) :args (@t127 @t137 @t138)) % 0.37/0.59 (step @p239 :rule cnf_or_pos :args (@t142)) % 0.37/0.59 (step @p240 :rule reordering :premises (@p239) :args ((or @t128 @t141 (not @t142)))) % 0.37/0.59 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p232) :args (@t141 @t143 (@list @t127 @t142))) % 0.37/0.59 (step @p242 :rule bool-double-not-elim :args (@t134)) % 0.37/0.59 (step @p243 :rule nary_cong :premises (@p220 @p242) :args ((or @t136 (not @t135)))) % 0.37/0.59 (step @p244 :rule cnf_or_neg :args (@t136 0)) % 0.37/0.59 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 0.37/0.59 (step @p246 :rule reordering :premises (@p245) :args ((or @t134 @t136))) % 0.37/0.59 (step @p247 :rule chain_m_resolution :premises (@p246 @p218) :args (@t134 @t137 @t138)) % 0.37/0.59 (step @p248 :rule instantiate :premises (@p247) :args (@t139)) % 0.37/0.60 (step @p249 :rule cnf_or_pos :args (@t145)) % 0.37/0.60 (step @p250 :rule reordering :premises (@p249) :args ((or @t128 @t144 (not @t145)))) % 0.37/0.60 (step @p251 :rule chain_m_resolution :premises (@p250 @p238 @p248) :args (@t144 @t143 (@list @t127 @t145))) % 0.37/0.60 (step @p252 :rule cnf_or_pos :args (@t148)) % 0.37/0.60 (step @p253 :rule reordering :premises (@p252) :args ((or @t147 @t146 @t149))) % 0.37/0.60 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p241) :args (@t149 @t143 (@list @t144 @t141))) % 0.37/0.60 (assume-push @p261 @t125) % 0.37/0.60 (step @p256 :rule instantiate :premises (@p225) :args ((@list @t140))) % 0.37/0.60 (step-pop @p262 :rule scope :premises (@p256)) % 0.37/0.60 (step @p257 :rule process_scope :premises (@p262) :args (@t148)) % 0.37/0.60 (step @p259 :rule implies_elim :premises (@p257)) % 0.37/0.60 (step @p260 false :rule chain_m_resolution :premises (@p259 @p254 @p225) :args (false (@list true false) (@list @t148 @t125))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------