%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU810^2 : 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 : n013.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 08:53:18 AM UTC 2026 % Result : Theorem 0.35s 0.59s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : SEU810^2 : TPTP v9.2.1. Released v3.7.0. % 0.09/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.37 % Computer : n013.cluster.edu % 0.16/0.37 % Model : x86_64 x86_64 % 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.37 % Memory : 8042.1875MB % 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.37 % CPULimit : 300 % 0.16/0.37 % WCLimit : 300 % 0.16/0.37 % DateTime : Tue Jun 2 17:53:00 EDT 2026 % 0.16/0.37 % CPUTime : % 0.27/0.52 %----Proving TH0 % 0.35/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.59 % SZS status Theorem % 0.35/0.59 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.omega $$unsorted) % 0.35/0.59 (declare-const tptp.in__Cong Bool) % 0.35/0.59 (declare-const tptp.setadjoinIL Bool) % 0.35/0.59 (declare-const tptp.emptysetE Bool) % 0.35/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.emptyset $$unsorted) % 0.35/0.59 (define tptp.omegaS () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.setadjoin _let_1) _let_1)))) % 0.35/0.59 (define @t1 () (@var "Xphi" Bool)) % 0.35/0.59 (define @t2 () (@list @t1)) % 0.35/0.59 (define @t3 () (forall @t2 @t1)) % 0.35/0.59 (define @t4 () (@var "Xx" $$unsorted)) % 0.35/0.59 (define @t5 () (_ tptp.in @t4)) % 0.35/0.59 (define @t6 () (_ @t5 tptp.emptyset)) % 0.35/0.59 (define @t7 () (=> @t6 @t3)) % 0.35/0.59 (define @t8 () (@list @t4)) % 0.35/0.59 (define @t9 () (forall @t8 @t7)) % 0.35/0.59 (define @t10 () (= tptp.emptysetE @t9)) % 0.35/0.59 (define @t11 () (@var "Xy" $$unsorted)) % 0.35/0.59 (define @t12 () (_ tptp.setadjoin @t4)) % 0.35/0.59 (define @t13 () (_ @t12 @t11)) % 0.35/0.59 (define @t14 () (_ @t5 @t13)) % 0.35/0.59 (define @t15 () (@list @t4 @t11)) % 0.35/0.59 (define @t16 () (forall @t15 @t14)) % 0.35/0.59 (define @t17 () (= tptp.setadjoinIL @t16)) % 0.35/0.59 (define @t18 () (@var "B" $$unsorted)) % 0.35/0.59 (define @t19 () (_ (_ tptp.in @t11) @t18)) % 0.35/0.59 (define @t20 () (@var "A" $$unsorted)) % 0.35/0.59 (define @t21 () (_ @t5 @t20)) % 0.35/0.59 (define @t22 () (= @t21 @t19)) % 0.35/0.59 (define @t23 () (= @t4 @t11)) % 0.35/0.59 (define @t24 () (forall @t15 (=> @t23 @t22))) % 0.35/0.59 (define @t25 () (= @t20 @t18)) % 0.35/0.59 (define @t26 () (=> @t25 @t24)) % 0.35/0.59 (define @t27 () (@list @t20 @t18)) % 0.35/0.59 (define @t28 () (forall @t27 @t26)) % 0.35/0.59 (define @t29 () (= tptp.in__Cong @t28)) % 0.35/0.59 (define @t30 () (= (_ tptp.omegaS @t4) tptp.emptyset)) % 0.35/0.59 (define @t31 () (not @t30)) % 0.35/0.59 (define @t32 () (_ @t5 tptp.omega)) % 0.35/0.59 (define @t33 () (=> @t32 @t31)) % 0.35/0.59 (define @t34 () (forall @t8 @t33)) % 0.35/0.59 (define @t35 () (=> tptp.in__Cong @t34)) % 0.35/0.59 (define @t36 () (=> tptp.setadjoinIL @t35)) % 0.35/0.59 (define @t37 () (=> tptp.emptysetE @t36)) % 0.35/0.59 (define @t38 () (not @t37)) % 0.35/0.59 (define @t39 () (_ @t12 @t4)) % 0.35/0.59 (define @t40 () (lambda @t8 @t39)) % 0.35/0.59 (define @t41 () (tptp.setadjoin @t4 @t4)) % 0.35/0.59 (define @t42 () (tptp.in @t4 tptp.omega)) % 0.35/0.59 (define @t43 () (forall @t8 (or (not @t42) (not (= tptp.emptyset @t41))))) % 0.35/0.59 (define @t44 () (tptp.setadjoin @t4 @t11)) % 0.35/0.59 (define @t45 () (tptp.in @t4 @t44)) % 0.35/0.59 (define @t46 () (forall @t15 @t45)) % 0.35/0.59 (define @t47 () (=> @t46 (=> true @t43))) % 0.35/0.59 (define @t48 () (tptp.in @t4 tptp.emptyset)) % 0.35/0.59 (define @t49 () (forall @t8 (not @t48))) % 0.35/0.59 (define @t50 () (=> @t49 @t47)) % 0.35/0.59 (define @t51 () (@var "BOUND_VARIABLE_7501" $$unsorted)) % 0.35/0.59 (define @t52 () (@list @t18 @t51)) % 0.35/0.59 (define @t53 () (tptp.in @t51 @t18)) % 0.35/0.59 (define @t54 () (not (= @t18 @t18))) % 0.35/0.59 (define @t55 () (or @t54 (= @t53 @t53))) % 0.35/0.59 (define @t56 () (= @t53 (tptp.in @t51 @t20))) % 0.35/0.59 (define @t57 () (not @t25)) % 0.35/0.59 (define @t58 () (or @t57 @t57 @t56)) % 0.35/0.59 (define @t59 () (@list @t20)) % 0.35/0.59 (define @t60 () (or @t57 @t56)) % 0.35/0.59 (define @t61 () (forall @t59 @t60)) % 0.35/0.59 (define @t62 () (forall @t52 @t61)) % 0.35/0.59 (define @t63 () (forall (@list @t18 @t51 @t20) @t60)) % 0.35/0.59 (define @t64 () (forall (@list @t20 @t18 @t51) @t60)) % 0.35/0.59 (define @t65 () (@list @t51)) % 0.35/0.59 (define @t66 () (forall @t65 @t60)) % 0.35/0.59 (define @t67 () (forall @t65 @t56)) % 0.35/0.59 (define @t68 () (or @t57 @t67)) % 0.35/0.59 (define @t69 () (tptp.in @t11 @t20)) % 0.35/0.59 (define @t70 () (tptp.in @t11 @t18)) % 0.35/0.59 (define @t71 () (= @t70 @t69)) % 0.35/0.59 (define @t72 () (@list @t11)) % 0.35/0.59 (define @t73 () (forall @t72 @t71)) % 0.35/0.59 (define @t74 () (not (= @t11 @t11))) % 0.35/0.59 (define @t75 () (or @t74 (= @t69 @t70))) % 0.35/0.59 (define @t76 () (tptp.in @t4 @t20)) % 0.35/0.59 (define @t77 () (= @t76 @t70)) % 0.35/0.59 (define @t78 () (not @t23)) % 0.35/0.59 (define @t79 () (or @t78 @t78 @t77)) % 0.35/0.59 (define @t80 () (or @t78 @t77)) % 0.35/0.59 (define @t81 () (forall @t8 @t80)) % 0.35/0.59 (define @t82 () (forall @t72 @t81)) % 0.35/0.59 (define @t83 () (forall (@list @t11 @t4) @t80)) % 0.35/0.59 (define @t84 () (or @t78 @t22)) % 0.35/0.59 (define @t85 () (=> tptp.in__Cong @t43)) % 0.35/0.59 (define @t86 () (=> tptp.setadjoinIL @t85)) % 0.35/0.59 (define @t87 () (not @t6)) % 0.35/0.59 (define @t88 () (or @t1 @t1)) % 0.35/0.59 (define @t89 () (=> tptp.emptysetE @t86)) % 0.35/0.59 (define @t90 () (= tptp.emptyset @t39)) % 0.35/0.59 (define @t91 () (not @t90)) % 0.35/0.59 (define @t92 () (not @t32)) % 0.35/0.59 (define @t93 () (or @t92 @t91)) % 0.35/0.59 (define @t94 () (_ @t40 @t4)) % 0.35/0.59 (define @t95 () (= @t94 tptp.emptyset)) % 0.35/0.59 (define @t96 () (not @t95)) % 0.35/0.59 (define @t97 () (=> @t32 @t96)) % 0.35/0.59 (define @t98 () (forall @t8 @t97)) % 0.35/0.59 (define @t99 () (=> tptp.in__Cong @t98)) % 0.35/0.59 (define @t100 () (=> tptp.setadjoinIL @t99)) % 0.35/0.59 (define @t101 () (=> tptp.emptysetE @t100)) % 0.35/0.59 (define @t102 () (@quantifiers_skolemize @t43 0)) % 0.35/0.59 (define @t103 () (= tptp.emptyset (tptp.setadjoin @t102 @t102))) % 0.35/0.59 (define @t104 () (not @t103)) % 0.35/0.59 (define @t105 () (or (not (tptp.in @t102 tptp.omega)) @t104)) % 0.35/0.59 (define @t106 () (tptp.in @t102 tptp.emptyset)) % 0.35/0.59 (assume @p1 @t10) % 0.35/0.59 (assume @p2 @t17) % 0.35/0.59 (assume @p3 @t29) % 0.35/0.59 (assume @p4 @t38) % 0.35/0.59 (assume @p5 true) % 0.35/0.59 (step @p6 (= tptp.omegaS @t40) :rule refl :args (@t40)) % 0.35/0.59 (step @p7 :rule bool-impl-true2 :args (@t43)) % 0.35/0.59 (step @p8 :rule refl :args (@t46)) % 0.35/0.59 (step @p9 :rule cong :premises (@p8 @p7) :args (@t47)) % 0.35/0.59 (step @p10 :rule refl :args (@t49)) % 0.35/0.59 (step @p11 :rule cong :premises (@p10 @p9) :args (@t50)) % 0.35/0.59 (step @p12 :rule cong :premises (@p11) :args ((not @t50))) % 0.35/0.59 (step @p13 :rule refl :args (@t43)) % 0.35/0.59 (step @p14 :rule bool-eq-true :args (tptp.in__Cong)) % 0.35/0.59 (step @p15 :rule symm :premises (@p14)) % 0.35/0.59 (step @p16 :rule quant-unused-vars :args ((= (forall @t52 true) true))) % 0.35/0.59 (step @p17 :rule evaluate :args ((or false true))) % 0.35/0.59 (step @p18 :rule eq-refl :args (@t53)) % 0.35/0.59 (step @p19 :rule evaluate :args ((not true))) % 0.35/0.59 (step @p20 :rule eq-refl :args (@t18)) % 0.35/0.59 (step @p21 :rule cong :premises (@p20) :args (@t54)) % 0.35/0.59 (step @p22 :rule trans :premises (@p21 @p19)) % 0.35/0.59 (step @p23 :rule nary_cong :premises (@p22 @p18) :args (@t55)) % 0.35/0.59 (step @p24 :rule trans :premises (@p23 @p17)) % 0.35/0.59 (step @p25 :rule cong :premises (@p24) :args ((forall @t52 @t55))) % 0.35/0.59 (step @p26 :rule trans :premises (@p25 @p16)) % 0.35/0.59 (step @p27 :rule quant-var-elim-eq :args ((= (forall @t59 @t58) @t55))) % 0.35/0.59 (step @p28 :rule aci_norm :args ((= @t60 @t58))) % 0.35/0.59 (step @p29 :rule cong :premises (@p28) :args (@t61)) % 0.35/0.59 (step @p30 :rule trans :premises (@p29 @p27)) % 0.35/0.59 (step @p31 :rule cong :premises (@p30) :args (@t62)) % 0.35/0.59 (step @p32 :rule quant-merge-prenex :args ((= @t62 @t63))) % 0.35/0.59 (step @p33 :rule symm :premises (@p32)) % 0.35/0.59 (step @p34 :rule quant_var_reordering :args ((= @t64 @t63))) % 0.35/0.59 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 0.35/0.59 (step @p36 :rule trans :premises (@p35 @p26)) % 0.35/0.59 (step @p37 :rule quant-merge-prenex :args ((= (forall @t27 @t66) @t64))) % 0.35/0.59 (step @p38 :rule alpha_equiv :args (@t67 (@list @t51) (@list @t11))) % 0.35/0.59 (step @p39 :rule refl :args (@t57)) % 0.35/0.59 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t68)) % 0.35/0.59 (step @p41 :rule quant-miniscope-or :args ((= @t66 @t68))) % 0.35/0.59 (step @p42 :rule trans :premises (@p41 @p40)) % 0.35/0.59 (step @p43 :rule symm :premises (@p42)) % 0.35/0.59 (step @p44 :rule cong :premises (@p43) :args ((forall @t27 (or @t57 @t73)))) % 0.35/0.59 (step @p45 :rule trans :premises (@p44 @p37)) % 0.35/0.59 (step @p46 :rule trans :premises (@p45 @p36)) % 0.35/0.59 (step @p47 :rule bool-impl-elim :args (@t25 @t73)) % 0.35/0.59 (step @p48 :rule cong :premises (@p47) :args ((forall @t27 (=> @t25 @t73)))) % 0.35/0.59 (step @p49 :rule trans :premises (@p48 @p46)) % 0.35/0.59 (step @p50 :rule aci_norm :args ((= (or false @t71) @t71))) % 0.35/0.59 (step @p51 :rule eq-symm :args (@t69 @t70)) % 0.35/0.59 (step @p52 :rule eq-refl :args (@t11)) % 0.35/0.59 (step @p53 :rule cong :premises (@p52) :args (@t74)) % 0.35/0.59 (step @p54 :rule trans :premises (@p53 @p19)) % 0.35/0.59 (step @p55 :rule nary_cong :premises (@p54 @p51) :args (@t75)) % 0.35/0.59 (step @p56 :rule trans :premises (@p55 @p50)) % 0.35/0.59 (step @p57 :rule cong :premises (@p56) :args ((forall @t72 @t75))) % 0.35/0.59 (step @p58 :rule quant-var-elim-eq :args ((= (forall @t8 @t79) @t75))) % 0.35/0.59 (step @p59 :rule aci_norm :args ((= @t80 @t79))) % 0.35/0.59 (step @p60 :rule cong :premises (@p59) :args (@t81)) % 0.35/0.59 (step @p61 :rule trans :premises (@p60 @p58)) % 0.35/0.59 (step @p62 :rule cong :premises (@p61) :args (@t82)) % 0.35/0.59 (step @p63 :rule quant-merge-prenex :args ((= @t82 @t83))) % 0.35/0.59 (step @p64 :rule symm :premises (@p63)) % 0.35/0.59 (step @p65 :rule quant_var_reordering :args ((= (forall @t15 @t80) @t83))) % 0.35/0.59 (step @p66 :rule trans :premises (@p65 @p64 @p62)) % 0.35/0.59 (step @p67 :rule trans :premises (@p66 @p57)) % 0.35/0.59 (step @p68 :rule refl :args (@t70)) % 0.35/0.59 (step @p69 :rule refl :args (@t19)) % 0.35/0.59 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t19 @t70))) % 0.35/0.59 (step @p71 :rule symm :premises (@p70)) % 0.35/0.59 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.35/0.59 (step @p73 :rule refl :args (@t76)) % 0.35/0.59 (step @p74 :rule refl :args (@t21)) % 0.35/0.59 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t21 @t76))) % 0.35/0.59 (step @p76 :rule symm :premises (@p75)) % 0.35/0.59 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.35/0.59 (step @p78 :rule cong :premises (@p77 @p72) :args (@t22)) % 0.35/0.59 (step @p79 :rule refl :args (@t78)) % 0.35/0.59 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t84)) % 0.35/0.59 (step @p81 :rule cong :premises (@p80) :args ((forall @t15 @t84))) % 0.35/0.59 (step @p82 :rule trans :premises (@p81 @p67)) % 0.35/0.59 (step @p83 :rule bool-impl-elim :args (@t23 @t22)) % 0.35/0.59 (step @p84 :rule cong :premises (@p83) :args (@t24)) % 0.35/0.59 (step @p85 :rule trans :premises (@p84 @p82)) % 0.35/0.59 (step @p86 :rule refl :args (@t25)) % 0.35/0.59 (step @p87 :rule cong :premises (@p86 @p85) :args (@t26)) % 0.35/0.59 (step @p88 :rule cong :premises (@p87) :args (@t28)) % 0.35/0.59 (step @p89 :rule trans :premises (@p88 @p49)) % 0.35/0.59 (step @p90 :rule refl :args (tptp.in__Cong)) % 0.35/0.59 (step @p91 :rule cong :premises (@p90 @p89) :args (@t29)) % 0.35/0.59 (step @p92 :rule trans :premises (@p91 @p14)) % 0.35/0.59 (step @p93 :rule eq_resolve :premises (@p3 @p92)) % 0.35/0.59 (step @p94 :rule eq_resolve :premises (@p93 @p15)) % 0.35/0.59 (step @p95 :rule cong :premises (@p94 @p13) :args (@t85)) % 0.35/0.59 (step @p96 :rule refl :args ((tptp.in @t4 @t13))) % 0.35/0.59 (step @p97 :rule refl :args (@t44)) % 0.35/0.59 (step @p98 :rule refl :args (@t4)) % 0.35/0.59 (step @p99 :rule cong :premises (@p98 @p97) :args (@t45)) % 0.35/0.59 (step @p100 :rule trans :premises (@p99 @p96)) % 0.35/0.59 (step @p101 :rule refl :args (@t5)) % 0.35/0.59 (step @p102 :rule ho_cong :premises (@p101 @p97)) % 0.35/0.59 (step @p103 :rule cong :premises (@p102 @p100) :args ((= (_ @t5 @t44) @t45))) % 0.35/0.59 (step @p104 :rule symm :premises (@p103)) % 0.35/0.59 (step @p105 :rule refl :args (@t14)) % 0.35/0.59 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.35/0.59 (step @p107 :rule refl :args (@t13)) % 0.35/0.59 (step @p108 :rule cong :premises (@p107 @p97) :args ((= @t13 @t44))) % 0.35/0.59 (step @p109 :rule symm :premises (@p108)) % 0.35/0.59 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.35/0.59 (step @p111 :rule ho_cong :premises (@p101 @p110)) % 0.35/0.59 (step @p112 :rule trans :premises (@p111 @p106)) % 0.35/0.59 (step @p113 :rule cong :premises (@p112) :args (@t16)) % 0.35/0.59 (step @p114 :rule refl :args (tptp.setadjoinIL)) % 0.35/0.59 (step @p115 :rule cong :premises (@p114 @p113) :args (@t17)) % 0.35/0.59 (step @p116 :rule eq_resolve :premises (@p2 @p115)) % 0.35/0.59 (step @p117 :rule cong :premises (@p116 @p95) :args (@t86)) % 0.35/0.59 (step @p118 :rule refl :args (@t48)) % 0.35/0.59 (step @p119 :rule refl :args (@t6)) % 0.35/0.59 (step @p120 :rule cong :premises (@p119 @p118) :args ((= @t6 @t48))) % 0.35/0.59 (step @p121 :rule symm :premises (@p120)) % 0.35/0.59 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 0.35/0.59 (step @p123 :rule cong :premises (@p122) :args (@t87)) % 0.35/0.59 (step @p124 :rule cong :premises (@p123) :args ((forall @t8 @t87))) % 0.35/0.59 (step @p125 :rule bool-impl-false1 :args (@t6)) % 0.35/0.59 (step @p126 :rule quant-var-elim-eq :args ((= (forall @t2 (or (not (= @t1 false)) @t1)) false))) % 0.35/0.59 (step @p127 :rule refl :args (@t1)) % 0.35/0.59 (step @p128 :rule bool-eq-false :args (@t1)) % 0.35/0.59 (step @p129 :rule symm :premises (@p128)) % 0.35/0.59 (step @p130 :rule cong :premises (@p129) :args ((not (not @t1)))) % 0.35/0.59 (step @p131 :rule bool-double-not-elim :args (@t1)) % 0.35/0.59 (step @p132 :rule symm :premises (@p131)) % 0.35/0.59 (step @p133 :rule trans :premises (@p132 @p130)) % 0.35/0.59 (step @p134 :rule nary_cong :premises (@p133 @p127) :args (@t88)) % 0.35/0.59 (step @p135 :rule aci_norm :args ((= @t1 @t88))) % 0.35/0.59 (step @p136 :rule trans :premises (@p135 @p134)) % 0.35/0.59 (step @p137 :rule cong :premises (@p136) :args (@t3)) % 0.35/0.59 (step @p138 :rule trans :premises (@p137 @p126)) % 0.35/0.59 (step @p139 :rule refl :args (@t6)) % 0.35/0.59 (step @p140 :rule cong :premises (@p139 @p138) :args (@t7)) % 0.35/0.59 (step @p141 :rule trans :premises (@p140 @p125)) % 0.35/0.59 (step @p142 :rule cong :premises (@p141) :args (@t9)) % 0.35/0.59 (step @p143 :rule trans :premises (@p142 @p124)) % 0.35/0.59 (step @p144 :rule refl :args (tptp.emptysetE)) % 0.35/0.59 (step @p145 :rule cong :premises (@p144 @p143) :args (@t10)) % 0.35/0.59 (step @p146 :rule eq_resolve :premises (@p1 @p145)) % 0.35/0.59 (step @p147 :rule cong :premises (@p146 @p117) :args (@t89)) % 0.35/0.59 (step @p148 :rule cong :premises (@p147) :args ((not @t89))) % 0.35/0.59 (step @p149 :rule trans :premises (@p148 @p12)) % 0.35/0.59 (step @p150 :rule refl :args (@t41)) % 0.35/0.59 (step @p151 :rule refl :args (@t39)) % 0.35/0.59 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t39 @t41))) % 0.35/0.60 (step @p153 :rule symm :premises (@p152)) % 0.35/0.60 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 0.35/0.60 (step @p155 :rule refl :args (tptp.emptyset)) % 0.35/0.60 (step @p156 :rule cong :premises (@p155 @p154) :args (@t90)) % 0.35/0.60 (step @p157 :rule cong :premises (@p156) :args (@t91)) % 0.35/0.60 (step @p158 :rule refl :args (@t42)) % 0.35/0.60 (step @p159 :rule refl :args (@t32)) % 0.35/0.60 (step @p160 :rule cong :premises (@p159 @p158) :args ((= @t32 @t42))) % 0.35/0.60 (step @p161 :rule symm :premises (@p160)) % 0.35/0.60 (step @p162 :rule eq_resolve :premises (@p159 @p161)) % 0.35/0.60 (step @p163 :rule cong :premises (@p162) :args (@t92)) % 0.35/0.60 (step @p164 :rule nary_cong :premises (@p163 @p157) :args (@t93)) % 0.35/0.60 (step @p165 :rule cong :premises (@p164) :args ((forall @t8 @t93))) % 0.35/0.60 (step @p166 :rule bool-impl-elim :args (@t32 @t91)) % 0.35/0.60 (step @p167 :rule cong :premises (@p166) :args ((forall @t8 (=> @t32 @t91)))) % 0.35/0.60 (step @p168 :rule trans :premises (@p167 @p165)) % 0.35/0.60 (step @p169 :rule eq-symm :args (@t39 tptp.emptyset)) % 0.35/0.60 (step @p170 :rule refl :args (tptp.emptyset)) % 0.35/0.60 (step @p171 :rule beta-reduce :args ((= @t94 @t39))) % 0.35/0.60 (step @p172 :rule cong :premises (@p171 @p170) :args (@t95)) % 0.35/0.60 (step @p173 :rule trans :premises (@p172 @p169)) % 0.35/0.60 (step @p174 :rule cong :premises (@p173) :args (@t96)) % 0.35/0.60 (step @p175 :rule refl :args (@t32)) % 0.35/0.60 (step @p176 :rule cong :premises (@p175 @p174) :args (@t97)) % 0.35/0.60 (step @p177 :rule cong :premises (@p176) :args (@t98)) % 0.35/0.60 (step @p178 :rule trans :premises (@p177 @p168)) % 0.35/0.60 (step @p179 :rule cong :premises (@p90 @p178) :args (@t99)) % 0.35/0.60 (step @p180 :rule cong :premises (@p114 @p179) :args (@t100)) % 0.35/0.60 (step @p181 :rule cong :premises (@p144 @p180) :args (@t101)) % 0.35/0.60 (step @p182 :rule cong :premises (@p181) :args ((not @t101))) % 0.35/0.60 (step @p183 :rule refl :args (@t4)) % 0.35/0.60 (step @p184 :rule ho_cong :premises (@p6 @p183)) % 0.35/0.60 (step @p185 :rule cong :premises (@p184 @p170) :args (@t30)) % 0.35/0.60 (step @p186 :rule cong :premises (@p185) :args (@t31)) % 0.35/0.60 (step @p187 :rule cong :premises (@p175 @p186) :args (@t33)) % 0.35/0.60 (step @p188 :rule cong :premises (@p187) :args (@t34)) % 0.35/0.60 (step @p189 :rule cong :premises (@p90 @p188) :args (@t35)) % 0.35/0.60 (step @p190 :rule cong :premises (@p114 @p189) :args (@t36)) % 0.35/0.60 (step @p191 :rule cong :premises (@p144 @p190) :args (@t37)) % 0.35/0.60 (step @p192 :rule cong :premises (@p191) :args (@t38)) % 0.35/0.60 (step @p193 :rule trans :premises (@p192 @p182)) % 0.35/0.60 (step @p194 :rule trans :premises (@p193 @p149)) % 0.35/0.60 (step @p195 :rule eq_resolve :premises (@p4 @p194)) % 0.35/0.60 (step @p196 :rule not_implies_elim1 :premises (@p195)) % 0.35/0.60 (step @p197 :rule not_implies_elim2 :premises (@p195)) % 0.35/0.60 (step @p198 :rule not_implies_elim1 :premises (@p197)) % 0.35/0.60 (step @p199 :rule instantiate :premises (@p198) :args ((@list @t102 @t102))) % 0.35/0.60 (step @p200 :rule true_intro :premises (@p199)) % 0.35/0.60 (step @p201 :rule not_implies_elim2 :premises (@p197)) % 0.35/0.60 (step @p202 :rule skolemize :premises (@p201)) % 0.35/0.60 (step @p203 :rule bool-double-not-elim :args (@t103)) % 0.35/0.60 (step @p204 :rule refl :args (@t105)) % 0.35/0.60 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or @t105 (not @t104)))) % 0.35/0.60 (step @p206 :rule cnf_or_neg :args (@t105 1)) % 0.35/0.60 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.35/0.60 (step @p208 :rule reordering :premises (@p207) :args ((or @t103 @t105))) % 0.35/0.60 (step @p209 :rule chain_m_resolution :premises (@p208 @p202) :args (@t103 (@list true) (@list @t105))) % 0.35/0.60 (step @p210 :rule refl :args (@t102)) % 0.35/0.60 (step @p211 :rule cong :premises (@p210 @p209) :args (@t106)) % 0.35/0.60 (step @p212 :rule trans :premises (@p211 @p200)) % 0.35/0.60 (step @p213 :rule true_elim :premises (@p212)) % 0.35/0.60 (assume-push @p220 @t49) % 0.35/0.60 (step @p215 :rule instantiate :premises (@p196) :args ((@list @t102))) % 0.35/0.60 (step-pop @p221 :rule scope :premises (@p215)) % 0.35/0.60 (step @p216 :rule process_scope :premises (@p221) :args ((not @t106))) % 0.35/0.60 (step @p218 :rule implies_elim :premises (@p216)) % 0.35/0.60 (step @p219 false :rule chain_m_resolution :premises (@p218 @p213 @p196) :args (false (@list false false) (@list @t106 @t49))) % 0.35/0.60 ) % 0.35/0.60 % SZS output end Proof % 0.35/0.60 % cvc5 exiting %------------------------------------------------------------------------------