%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU814^2 : 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 : n004.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 08:53:19 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 % 0.11/0.13 % Problem : SEU814^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.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 17:53:53 EDT 2026 % 0.17/0.36 % CPUTime : % 0.27/0.51 %----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 $$unsorted 0) % 0.35/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.transitivesetOp1 Bool) % 0.35/0.59 (declare-const tptp.subsetE Bool) % 0.35/0.59 (define tptp.transitiveset () (let ((_let_1 (@var "A" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.in _let_2) _let_1) (_ (_ tptp.subset _let_2) _let_1))))))) % 0.35/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.35/0.59 (define @t2 () (@var "Xx" $$unsorted)) % 0.35/0.59 (define @t3 () (_ tptp.in @t2)) % 0.35/0.59 (define @t4 () (_ @t3 @t1)) % 0.35/0.59 (define @t5 () (@var "A" $$unsorted)) % 0.35/0.59 (define @t6 () (_ @t3 @t5)) % 0.35/0.59 (define @t7 () (=> @t6 @t4)) % 0.35/0.59 (define @t8 () (_ tptp.subset @t5)) % 0.35/0.59 (define @t9 () (_ @t8 @t1)) % 0.35/0.59 (define @t10 () (@list @t5 @t1 @t2)) % 0.35/0.59 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.35/0.59 (define @t12 () (= tptp.subsetE @t11)) % 0.35/0.59 (define @t13 () (@var "X" $$unsorted)) % 0.35/0.59 (define @t14 () (_ @t8 @t13)) % 0.35/0.59 (define @t15 () (_ (_ tptp.in @t5) @t13)) % 0.35/0.59 (define @t16 () (@list @t5)) % 0.35/0.59 (define @t17 () (forall @t16 (=> @t15 @t14))) % 0.35/0.59 (define @t18 () (_ tptp.transitiveset @t13)) % 0.35/0.59 (define @t19 () (=> @t18 @t17)) % 0.35/0.59 (define @t20 () (@list @t13)) % 0.35/0.59 (define @t21 () (forall @t20 @t19)) % 0.35/0.59 (define @t22 () (= tptp.transitivesetOp1 @t21)) % 0.35/0.59 (define @t23 () (_ @t3 @t13)) % 0.35/0.59 (define @t24 () (=> @t6 @t23)) % 0.35/0.59 (define @t25 () (@list @t5 @t2)) % 0.35/0.59 (define @t26 () (forall @t25 (=> @t15 @t24))) % 0.35/0.59 (define @t27 () (=> @t18 @t26)) % 0.35/0.59 (define @t28 () (forall @t20 @t27)) % 0.35/0.59 (define @t29 () (=> tptp.transitivesetOp1 @t28)) % 0.35/0.59 (define @t30 () (=> tptp.subsetE @t29)) % 0.35/0.59 (define @t31 () (not @t30)) % 0.35/0.59 (define @t32 () (_ (_ tptp.subset @t13) @t5)) % 0.35/0.59 (define @t33 () (_ (_ tptp.in @t13) @t5)) % 0.35/0.59 (define @t34 () (forall @t20 (=> @t33 @t32))) % 0.35/0.59 (define @t35 () (lambda @t16 @t34)) % 0.35/0.59 (define @t36 () (@var "BOUND_VARIABLE_7550" $$unsorted)) % 0.35/0.59 (define @t37 () (tptp.in @t36 @t13)) % 0.35/0.59 (define @t38 () (@var "BOUND_VARIABLE_7548" $$unsorted)) % 0.35/0.59 (define @t39 () (not (tptp.in @t36 @t38))) % 0.35/0.59 (define @t40 () (not (tptp.in @t38 @t13))) % 0.35/0.59 (define @t41 () (@var "BOUND_VARIABLE_7492" $$unsorted)) % 0.35/0.59 (define @t42 () (@list @t41)) % 0.35/0.59 (define @t43 () (forall @t42 (or (not (tptp.in @t41 @t13)) (tptp.subset @t41 @t13)))) % 0.35/0.59 (define @t44 () (not @t43)) % 0.35/0.59 (define @t45 () (or @t44 @t40 @t39 @t37)) % 0.35/0.59 (define @t46 () (@list @t13 @t38 @t36)) % 0.35/0.59 (define @t47 () (forall @t46 @t45)) % 0.35/0.59 (define @t48 () (@var "BOUND_VARIABLE_7520" $$unsorted)) % 0.35/0.59 (define @t49 () (tptp.subset @t48 @t13)) % 0.35/0.59 (define @t50 () (not (tptp.in @t48 @t13))) % 0.35/0.59 (define @t51 () (or @t50 @t49)) % 0.35/0.59 (define @t52 () (or @t44 @t51)) % 0.35/0.59 (define @t53 () (forall (@list @t13 @t48) @t52)) % 0.35/0.59 (define @t54 () (@list @t48)) % 0.35/0.59 (define @t55 () (forall @t54 @t52)) % 0.35/0.59 (define @t56 () (forall @t54 @t51)) % 0.35/0.59 (define @t57 () (or @t44 @t56)) % 0.35/0.59 (define @t58 () (tptp.subset @t5 @t13)) % 0.35/0.59 (define @t59 () (tptp.in @t5 @t13)) % 0.35/0.59 (define @t60 () (not @t59)) % 0.35/0.59 (define @t61 () (forall @t16 (or @t60 @t58))) % 0.35/0.59 (define @t62 () (not @t15)) % 0.35/0.59 (define @t63 () (or @t62 @t14)) % 0.35/0.59 (define @t64 () (tptp.subset @t13 @t5)) % 0.35/0.59 (define @t65 () (tptp.in @t13 @t5)) % 0.35/0.59 (define @t66 () (forall @t20 (or (not @t65) @t64))) % 0.35/0.59 (define @t67 () (lambda @t16 @t66)) % 0.35/0.59 (define @t68 () (_ @t67 @t13)) % 0.35/0.59 (define @t69 () (=> @t68 @t17)) % 0.35/0.59 (define @t70 () (forall @t20 @t69)) % 0.35/0.59 (define @t71 () (not @t33)) % 0.35/0.59 (define @t72 () (or @t71 @t32)) % 0.35/0.59 (define @t73 () (=> tptp.transitivesetOp1 @t47)) % 0.35/0.59 (define @t74 () (tptp.in @t2 @t1)) % 0.35/0.59 (define @t75 () (tptp.in @t2 @t5)) % 0.35/0.59 (define @t76 () (not @t6)) % 0.35/0.59 (define @t77 () (tptp.subset @t5 @t1)) % 0.35/0.59 (define @t78 () (not @t9)) % 0.35/0.59 (define @t79 () (or @t78 @t76 @t4)) % 0.35/0.59 (define @t80 () (=> tptp.subsetE @t73)) % 0.35/0.59 (define @t81 () (or @t40 @t39 @t37)) % 0.35/0.59 (define @t82 () (or @t44 @t81)) % 0.35/0.59 (define @t83 () (forall @t46 @t82)) % 0.35/0.59 (define @t84 () (@list @t38 @t36)) % 0.35/0.59 (define @t85 () (forall @t84 @t82)) % 0.35/0.59 (define @t86 () (forall @t84 @t81)) % 0.35/0.59 (define @t87 () (or @t44 @t86)) % 0.35/0.59 (define @t88 () (tptp.in @t2 @t13)) % 0.35/0.59 (define @t89 () (not @t75)) % 0.35/0.59 (define @t90 () (forall @t25 (or @t60 @t89 @t88))) % 0.35/0.59 (define @t91 () (or @t62 @t76 @t23)) % 0.35/0.59 (define @t92 () (=> @t68 @t26)) % 0.35/0.59 (define @t93 () (forall @t20 @t92)) % 0.35/0.59 (define @t94 () (=> tptp.transitivesetOp1 @t93)) % 0.35/0.59 (define @t95 () (=> tptp.subsetE @t94)) % 0.35/0.59 (define @t96 () (@quantifiers_skolemize @t47 1)) % 0.35/0.59 (define @t97 () (@quantifiers_skolemize @t47 0)) % 0.35/0.59 (define @t98 () (tptp.in @t96 @t97)) % 0.35/0.59 (define @t99 () (@quantifiers_skolemize @t47 2)) % 0.35/0.59 (define @t100 () (tptp.in @t99 @t97)) % 0.35/0.59 (define @t101 () (tptp.in @t99 @t96)) % 0.35/0.59 (define @t102 () (not @t101)) % 0.35/0.59 (define @t103 () (not @t98)) % 0.35/0.59 (define @t104 () (forall @t42 (or (not (tptp.in @t41 @t97)) (tptp.subset @t41 @t97)))) % 0.35/0.59 (define @t105 () (not @t104)) % 0.35/0.59 (define @t106 () (or @t105 @t103 @t102 @t100)) % 0.35/0.59 (define @t107 () (@list true)) % 0.35/0.59 (define @t108 () (@list @t106)) % 0.35/0.59 (define @t109 () (tptp.subset @t96 @t97)) % 0.35/0.59 (define @t110 () (or @t105 @t103 @t109)) % 0.35/0.59 (define @t111 () (not @t109)) % 0.35/0.59 (define @t112 () (or @t111 @t102 @t100)) % 0.35/0.59 (define @t113 () (not @t112)) % 0.35/0.59 (define @t114 () (forall @t10 (or (not @t77) @t89 @t74))) % 0.35/0.59 (assume @p1 @t12) % 0.35/0.59 (assume @p2 @t22) % 0.35/0.59 (assume @p3 @t31) % 0.35/0.59 (assume @p4 true) % 0.35/0.59 (step @p5 (= tptp.transitiveset @t35) :rule refl :args (@t35)) % 0.35/0.59 (step @p6 :rule refl :args (@t47)) % 0.35/0.59 (step @p7 :rule aci_norm :args ((= @t52 (or @t44 @t50 @t49)))) % 0.35/0.59 (step @p8 :rule cong :premises (@p7) :args (@t53)) % 0.35/0.59 (step @p9 :rule quant-merge-prenex :args ((= (forall @t20 @t55) @t53))) % 0.35/0.59 (step @p10 :rule alpha_equiv :args (@t56 (@list @t48) (@list @t5))) % 0.35/0.59 (step @p11 :rule refl :args (@t44)) % 0.35/0.59 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t57)) % 0.35/0.59 (step @p13 :rule quant-miniscope-or :args ((= @t55 @t57))) % 0.35/0.59 (step @p14 :rule trans :premises (@p13 @p12)) % 0.35/0.59 (step @p15 :rule symm :premises (@p14)) % 0.35/0.59 (step @p16 :rule cong :premises (@p15) :args ((forall @t20 (or @t44 @t61)))) % 0.35/0.59 (step @p17 :rule trans :premises (@p16 @p9)) % 0.35/0.59 (step @p18 :rule trans :premises (@p17 @p8)) % 0.35/0.59 (step @p19 :rule bool-impl-elim :args (@t43 @t61)) % 0.35/0.59 (step @p20 :rule cong :premises (@p19) :args ((forall @t20 (=> @t43 @t61)))) % 0.35/0.59 (step @p21 :rule trans :premises (@p20 @p18)) % 0.35/0.59 (step @p22 :rule refl :args (@t58)) % 0.35/0.59 (step @p23 :rule refl :args (@t14)) % 0.35/0.59 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t14 @t58))) % 0.35/0.59 (step @p25 :rule symm :premises (@p24)) % 0.35/0.59 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.35/0.59 (step @p27 :rule refl :args (@t59)) % 0.35/0.59 (step @p28 :rule refl :args (@t15)) % 0.35/0.59 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t15 @t59))) % 0.35/0.59 (step @p30 :rule symm :premises (@p29)) % 0.35/0.59 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.35/0.59 (step @p32 :rule cong :premises (@p31) :args (@t62)) % 0.35/0.59 (step @p33 :rule nary_cong :premises (@p32 @p26) :args (@t63)) % 0.35/0.59 (step @p34 :rule cong :premises (@p33) :args ((forall @t16 @t63))) % 0.35/0.59 (step @p35 :rule bool-impl-elim :args (@t15 @t14)) % 0.35/0.59 (step @p36 :rule cong :premises (@p35) :args (@t17)) % 0.35/0.59 (step @p37 :rule trans :premises (@p36 @p34)) % 0.35/0.59 (step @p38 :rule beta-reduce :args ((= (_ (lambda @t16 (forall @t42 (or (not (tptp.in @t41 @t5)) (tptp.subset @t41 @t5)))) @t13) @t43))) % 0.35/0.59 (step @p39 :rule refl :args (@t13)) % 0.35/0.59 (step @p40 :rule alpha_equiv :args (@t66 (@list @t13) (@list @t41))) % 0.35/0.59 (step @p41 :rule cong :premises (@p40) :args (@t67)) % 0.35/0.59 (step @p42 :rule ho_cong :premises (@p41 @p39)) % 0.35/0.59 (step @p43 :rule trans :premises (@p42 @p38)) % 0.35/0.59 (step @p44 :rule cong :premises (@p43 @p37) :args (@t69)) % 0.35/0.59 (step @p45 :rule cong :premises (@p44) :args (@t70)) % 0.35/0.59 (step @p46 :rule trans :premises (@p45 @p21)) % 0.35/0.59 (step @p47 :rule refl :args (tptp.transitivesetOp1)) % 0.35/0.59 (step @p48 :rule cong :premises (@p47 @p46) :args ((= tptp.transitivesetOp1 @t70))) % 0.35/0.59 (step @p49 :rule refl :args (@t17)) % 0.35/0.59 (step @p50 :rule refl :args (@t13)) % 0.35/0.59 (step @p51 :rule refl :args (@t64)) % 0.35/0.59 (step @p52 :rule refl :args (@t32)) % 0.35/0.59 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t32 @t64))) % 0.35/0.59 (step @p54 :rule symm :premises (@p53)) % 0.35/0.59 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.35/0.59 (step @p56 :rule refl :args (@t65)) % 0.35/0.59 (step @p57 :rule refl :args (@t33)) % 0.35/0.59 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t33 @t65))) % 0.35/0.59 (step @p59 :rule symm :premises (@p58)) % 0.35/0.59 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.35/0.59 (step @p61 :rule cong :premises (@p60) :args (@t71)) % 0.35/0.59 (step @p62 :rule nary_cong :premises (@p61 @p55) :args (@t72)) % 0.35/0.59 (step @p63 :rule cong :premises (@p62) :args ((forall @t20 @t72))) % 0.35/0.59 (step @p64 :rule bool-impl-elim :args (@t33 @t32)) % 0.35/0.59 (step @p65 :rule cong :premises (@p64) :args (@t34)) % 0.35/0.59 (step @p66 :rule trans :premises (@p65 @p63)) % 0.35/0.59 (step @p67 :rule cong :premises (@p66) :args (@t35)) % 0.35/0.59 (step @p68 :rule trans :premises (@p5 @p67)) % 0.35/0.59 (step @p69 :rule ho_cong :premises (@p68 @p50)) % 0.35/0.59 (step @p70 :rule cong :premises (@p69 @p49) :args (@t19)) % 0.35/0.59 (step @p71 :rule cong :premises (@p70) :args (@t21)) % 0.35/0.59 (step @p72 :rule cong :premises (@p47 @p71) :args (@t22)) % 0.35/0.59 (step @p73 :rule trans :premises (@p72 @p48)) % 0.35/0.59 (step @p74 :rule eq_resolve :premises (@p2 @p73)) % 0.35/0.59 (step @p75 :rule cong :premises (@p74 @p6) :args (@t73)) % 0.35/0.59 (step @p76 :rule refl :args (@t74)) % 0.35/0.59 (step @p77 :rule refl :args (@t4)) % 0.35/0.59 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t4 @t74))) % 0.35/0.59 (step @p79 :rule symm :premises (@p78)) % 0.35/0.59 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.35/0.59 (step @p81 :rule refl :args (@t75)) % 0.35/0.59 (step @p82 :rule refl :args (@t6)) % 0.35/0.59 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t6 @t75))) % 0.35/0.59 (step @p84 :rule symm :premises (@p83)) % 0.35/0.59 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.35/0.59 (step @p86 :rule cong :premises (@p85) :args (@t76)) % 0.35/0.59 (step @p87 :rule refl :args (@t77)) % 0.35/0.59 (step @p88 :rule refl :args (@t9)) % 0.35/0.59 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t9 @t77))) % 0.35/0.59 (step @p90 :rule symm :premises (@p89)) % 0.35/0.59 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.35/0.59 (step @p92 :rule cong :premises (@p91) :args (@t78)) % 0.35/0.59 (step @p93 :rule nary_cong :premises (@p92 @p86 @p80) :args (@t79)) % 0.35/0.59 (step @p94 :rule cong :premises (@p93) :args ((forall @t10 @t79))) % 0.35/0.59 (step @p95 :rule aci_norm :args ((= (or @t78 (or @t76 @t4)) @t79))) % 0.35/0.59 (step @p96 :rule bool-impl-elim :args (@t6 @t4)) % 0.35/0.59 (step @p97 :rule refl :args (@t78)) % 0.35/0.59 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t78 @t7))) % 0.35/0.59 (step @p99 :rule trans :premises (@p98 @p95)) % 0.35/0.59 (step @p100 :rule bool-impl-elim :args (@t9 @t7)) % 0.35/0.59 (step @p101 :rule trans :premises (@p100 @p99)) % 0.35/0.59 (step @p102 :rule cong :premises (@p101) :args (@t11)) % 0.35/0.59 (step @p103 :rule trans :premises (@p102 @p94)) % 0.35/0.59 (step @p104 :rule refl :args (tptp.subsetE)) % 0.35/0.59 (step @p105 :rule cong :premises (@p104 @p103) :args (@t12)) % 0.35/0.59 (step @p106 :rule eq_resolve :premises (@p1 @p105)) % 0.35/0.59 (step @p107 :rule cong :premises (@p106 @p75) :args (@t80)) % 0.35/0.59 (step @p108 :rule cong :premises (@p107) :args ((not @t80))) % 0.35/0.59 (step @p109 :rule aci_norm :args ((= @t82 @t45))) % 0.35/0.59 (step @p110 :rule cong :premises (@p109) :args (@t83)) % 0.35/0.59 (step @p111 :rule quant-merge-prenex :args ((= (forall @t20 @t85) @t83))) % 0.35/0.59 (step @p112 :rule alpha_equiv :args (@t86 (@list @t38 @t36) (@list @t5 @t2))) % 0.35/0.59 (step @p113 :rule nary_cong :premises (@p11 @p112) :args (@t87)) % 0.35/0.59 (step @p114 :rule quant-miniscope-or :args ((= @t85 @t87))) % 0.35/0.59 (step @p115 :rule trans :premises (@p114 @p113)) % 0.35/0.59 (step @p116 :rule symm :premises (@p115)) % 0.35/0.59 (step @p117 :rule cong :premises (@p116) :args ((forall @t20 (or @t44 @t90)))) % 0.35/0.59 (step @p118 :rule trans :premises (@p117 @p111)) % 0.35/0.59 (step @p119 :rule trans :premises (@p118 @p110)) % 0.35/0.59 (step @p120 :rule bool-impl-elim :args (@t43 @t90)) % 0.35/0.59 (step @p121 :rule cong :premises (@p120) :args ((forall @t20 (=> @t43 @t90)))) % 0.35/0.59 (step @p122 :rule trans :premises (@p121 @p119)) % 0.35/0.59 (step @p123 :rule refl :args (@t88)) % 0.35/0.59 (step @p124 :rule refl :args (@t23)) % 0.35/0.59 (step @p125 :rule cong :premises (@p124 @p123) :args ((= @t23 @t88))) % 0.35/0.59 (step @p126 :rule symm :premises (@p125)) % 0.35/0.59 (step @p127 :rule eq_resolve :premises (@p124 @p126)) % 0.35/0.59 (step @p128 :rule nary_cong :premises (@p32 @p86 @p127) :args (@t91)) % 0.35/0.59 (step @p129 :rule cong :premises (@p128) :args ((forall @t25 @t91))) % 0.35/0.59 (step @p130 :rule aci_norm :args ((= (or @t62 (or @t76 @t23)) @t91))) % 0.35/0.59 (step @p131 :rule bool-impl-elim :args (@t6 @t23)) % 0.35/0.59 (step @p132 :rule refl :args (@t62)) % 0.35/0.59 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t62 @t24))) % 0.35/0.59 (step @p134 :rule trans :premises (@p133 @p130)) % 0.35/0.59 (step @p135 :rule bool-impl-elim :args (@t15 @t24)) % 0.35/0.59 (step @p136 :rule trans :premises (@p135 @p134)) % 0.35/0.59 (step @p137 :rule cong :premises (@p136) :args (@t26)) % 0.35/0.59 (step @p138 :rule trans :premises (@p137 @p129)) % 0.35/0.59 (step @p139 :rule cong :premises (@p43 @p138) :args (@t92)) % 0.35/0.60 (step @p140 :rule cong :premises (@p139) :args (@t93)) % 0.35/0.60 (step @p141 :rule trans :premises (@p140 @p122)) % 0.35/0.60 (step @p142 :rule cong :premises (@p47 @p141) :args (@t94)) % 0.35/0.60 (step @p143 :rule cong :premises (@p104 @p142) :args (@t95)) % 0.35/0.60 (step @p144 :rule cong :premises (@p143) :args ((not @t95))) % 0.35/0.60 (step @p145 :rule refl :args (@t26)) % 0.35/0.60 (step @p146 :rule cong :premises (@p69 @p145) :args (@t27)) % 0.35/0.60 (step @p147 :rule cong :premises (@p146) :args (@t28)) % 0.35/0.60 (step @p148 :rule cong :premises (@p47 @p147) :args (@t29)) % 0.35/0.60 (step @p149 :rule cong :premises (@p104 @p148) :args (@t30)) % 0.35/0.60 (step @p150 :rule cong :premises (@p149) :args (@t31)) % 0.35/0.60 (step @p151 :rule trans :premises (@p150 @p144)) % 0.35/0.60 (step @p152 :rule trans :premises (@p151 @p108)) % 0.35/0.60 (step @p153 :rule eq_resolve :premises (@p3 @p152)) % 0.35/0.60 (step @p154 :rule not_implies_elim1 :premises (@p153)) % 0.35/0.60 (step @p155 :rule not_implies_elim2 :premises (@p153)) % 0.35/0.60 (step @p156 :rule not_implies_elim1 :premises (@p155)) % 0.35/0.60 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t97 @t96))) % 0.35/0.60 (step @p158 :rule not_implies_elim2 :premises (@p155)) % 0.35/0.60 (step @p159 :rule skolemize :premises (@p158)) % 0.35/0.60 (step @p160 :rule bool-double-not-elim :args (@t98)) % 0.35/0.60 (step @p161 :rule refl :args (@t106)) % 0.35/0.60 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t106 (not @t103)))) % 0.35/0.60 (step @p163 :rule cnf_or_neg :args (@t106 1)) % 0.35/0.60 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.35/0.60 (step @p165 :rule reordering :premises (@p164) :args ((or @t98 @t106))) % 0.35/0.60 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t98 @t107 @t108)) % 0.35/0.60 (step @p167 :rule bool-double-not-elim :args (@t104)) % 0.35/0.60 (step @p168 :rule nary_cong :premises (@p161 @p167) :args ((or @t106 (not @t105)))) % 0.35/0.60 (step @p169 :rule cnf_or_neg :args (@t106 0)) % 0.35/0.60 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.35/0.60 (step @p171 :rule reordering :premises (@p170) :args ((or @t104 @t106))) % 0.35/0.60 (step @p172 :rule chain_m_resolution :premises (@p171 @p159) :args (@t104 @t107 @t108)) % 0.35/0.60 (step @p173 :rule cnf_or_pos :args (@t110)) % 0.35/0.60 (step @p174 :rule reordering :premises (@p173) :args ((or @t105 @t103 @t109 (not @t110)))) % 0.35/0.60 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p166 @p157) :args (@t109 (@list false false false) (@list @t104 @t98 @t110))) % 0.35/0.60 (step @p176 :rule cnf_or_neg :args (@t106 3)) % 0.35/0.60 (step @p177 :rule chain_m_resolution :premises (@p176 @p159) :args ((not @t100) @t107 @t108)) % 0.35/0.60 (step @p178 :rule bool-double-not-elim :args (@t101)) % 0.35/0.60 (step @p179 :rule nary_cong :premises (@p161 @p178) :args ((or @t106 (not @t102)))) % 0.35/0.60 (step @p180 :rule cnf_or_neg :args (@t106 2)) % 0.35/0.60 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 0.35/0.60 (step @p182 :rule reordering :premises (@p181) :args ((or @t101 @t106))) % 0.35/0.60 (step @p183 :rule chain_m_resolution :premises (@p182 @p159) :args (@t101 @t107 @t108)) % 0.35/0.60 (step @p184 :rule cnf_or_pos :args (@t112)) % 0.35/0.60 (step @p185 :rule reordering :premises (@p184) :args ((or @t102 @t100 @t111 @t113))) % 0.35/0.60 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p177 @p175) :args (@t113 (@list false true false) (@list @t101 @t100 @t109))) % 0.35/0.60 (assume-push @p193 @t114) % 0.35/0.60 (step @p188 :rule instantiate :premises (@p154) :args ((@list @t96 @t97 @t99))) % 0.35/0.60 (step-pop @p194 :rule scope :premises (@p188)) % 0.35/0.60 (step @p189 :rule process_scope :premises (@p194) :args (@t112)) % 0.35/0.60 (step @p191 :rule implies_elim :premises (@p189)) % 0.35/0.60 (step @p192 false :rule chain_m_resolution :premises (@p191 @p186 @p154) :args (false (@list true false) (@list @t112 @t114))) % 0.35/0.60 ) % 0.35/0.60 % SZS output end Proof % 0.35/0.60 % cvc5 exiting %------------------------------------------------------------------------------