%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU525^2 : 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 08:52:03 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU525^2 : 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 : n013.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 17:40:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.exuE1 Bool) % 0.38/0.61 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.38/0.61 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.61 (define @t3 () (= @t2 @t1)) % 0.38/0.61 (define @t4 () (@var "Xphi" (-> $$unsorted Bool))) % 0.38/0.61 (define @t5 () (_ @t4 @t1)) % 0.38/0.61 (define @t6 () (@list @t1)) % 0.38/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.61 (define @t8 () (_ @t4 @t2)) % 0.38/0.61 (define @t9 () (and @t8 @t7)) % 0.38/0.61 (define @t10 () (@list @t2)) % 0.38/0.61 (define @t11 () (exists @t10 @t9)) % 0.38/0.61 (define @t12 () (lambda @t10 @t8)) % 0.38/0.61 (define @t13 () (_ tptp.exu @t12)) % 0.38/0.61 (define @t14 () (=> @t13 @t11)) % 0.38/0.61 (define @t15 () (@list @t4)) % 0.38/0.61 (define @t16 () (forall @t15 @t14)) % 0.38/0.61 (define @t17 () (= tptp.exuE1 @t16)) % 0.38/0.61 (define @t18 () (= @t5 (= @t1 @t2))) % 0.38/0.61 (define @t19 () (forall @t6 @t18)) % 0.38/0.61 (define @t20 () (exists @t10 @t19)) % 0.38/0.61 (define @t21 () (=> @t13 @t20)) % 0.38/0.61 (define @t22 () (forall @t15 @t21)) % 0.38/0.61 (define @t23 () (=> tptp.exuE1 @t22)) % 0.38/0.61 (define @t24 () (not @t23)) % 0.38/0.61 (define @t25 () (lambda @t15 @t11)) % 0.38/0.61 (define @t26 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 0.38/0.61 (define @t27 () (_ @t4 @t1)) % 0.38/0.61 (define @t28 () (not @t27)) % 0.38/0.61 (define @t29 () (not (_ @t4 @t26))) % 0.38/0.61 (define @t30 () (forall @t6 (= @t3 @t27))) % 0.38/0.61 (define @t31 () (not (forall @t10 (not @t30)))) % 0.38/0.61 (define @t32 () (@list @t4 @t26)) % 0.38/0.61 (define @t33 () (forall @t32 (or @t31 @t29 (not (forall @t6 (or @t28 (= @t1 @t26))))))) % 0.38/0.61 (define @t34 () (forall @t6 (or @t28 @t3))) % 0.38/0.61 (define @t35 () (not @t34)) % 0.38/0.61 (define @t36 () (_ @t4 @t2)) % 0.38/0.61 (define @t37 () (forall @t10 (or (not @t36) @t35))) % 0.38/0.61 (define @t38 () (not @t37)) % 0.38/0.61 (define @t39 () (not @t38)) % 0.38/0.61 (define @t40 () (not @t8)) % 0.38/0.61 (define @t41 () (or @t40 @t35)) % 0.38/0.61 (define @t42 () (and @t8 @t34)) % 0.38/0.61 (define @t43 () (forall @t10 (not @t42))) % 0.38/0.61 (define @t44 () (not @t43)) % 0.38/0.61 (define @t45 () (not @t5)) % 0.38/0.61 (define @t46 () (or @t45 @t3)) % 0.38/0.61 (define @t47 () (_ @t12 @t1)) % 0.38/0.61 (define @t48 () (not @t47)) % 0.38/0.61 (define @t49 () (or @t48 @t3)) % 0.38/0.61 (define @t50 () (forall @t6 @t49)) % 0.38/0.61 (define @t51 () (not @t50)) % 0.38/0.61 (define @t52 () (_ @t12 @t2)) % 0.38/0.61 (define @t53 () (not @t52)) % 0.38/0.61 (define @t54 () (or @t53 @t51)) % 0.38/0.61 (define @t55 () (forall @t10 @t54)) % 0.38/0.61 (define @t56 () (not @t55)) % 0.38/0.61 (define @t57 () (_ (lambda @t15 @t38) @t12)) % 0.38/0.61 (define @t58 () (=> @t57 @t11)) % 0.38/0.61 (define @t59 () (forall @t15 @t58)) % 0.38/0.61 (define @t60 () (=> tptp.exuE1 @t33)) % 0.38/0.61 (define @t61 () (or @t28 (= @t26 @t1))) % 0.38/0.61 (define @t62 () (forall @t6 @t61)) % 0.38/0.61 (define @t63 () (not @t62)) % 0.38/0.61 (define @t64 () (or @t31 @t29 @t63)) % 0.38/0.61 (define @t65 () (or @t29 @t63)) % 0.38/0.61 (define @t66 () (or @t65 @t31)) % 0.38/0.61 (define @t67 () (forall @t32 @t66)) % 0.38/0.61 (define @t68 () (@list @t26)) % 0.38/0.61 (define @t69 () (forall @t68 @t66)) % 0.38/0.61 (define @t70 () (forall @t68 @t65)) % 0.38/0.61 (define @t71 () (or @t70 @t31)) % 0.38/0.61 (define @t72 () (= @t5 @t3)) % 0.38/0.61 (define @t73 () (=> @t57 @t20)) % 0.38/0.61 (define @t74 () (forall @t15 @t73)) % 0.38/0.61 (define @t75 () (=> tptp.exuE1 @t74)) % 0.38/0.61 (define @t76 () (@quantifiers_skolemize @t33 1)) % 0.38/0.61 (define @t77 () (@quantifiers_skolemize @t33 0)) % 0.38/0.61 (define @t78 () (_ @t77 @t76)) % 0.38/0.61 (define @t79 () (= @t1 @t76)) % 0.38/0.61 (define @t80 () (_ @t77 @t1)) % 0.38/0.61 (define @t81 () (forall @t6 (or (not @t80) @t79))) % 0.38/0.61 (define @t82 () (not @t81)) % 0.38/0.61 (define @t83 () (not @t78)) % 0.38/0.61 (define @t84 () (forall @t10 (not (forall @t6 (= @t3 @t80))))) % 0.38/0.61 (define @t85 () (not @t84)) % 0.38/0.61 (define @t86 () (or @t85 @t83 @t82)) % 0.38/0.61 (define @t87 () (@list true)) % 0.38/0.61 (define @t88 () (@list @t86)) % 0.38/0.61 (define @t89 () (= @t76 @t1)) % 0.38/0.61 (define @t90 () (forall @t6 (= @t89 @t80))) % 0.38/0.61 (define @t91 () (not @t90)) % 0.38/0.61 (define @t92 () (forall @t6 (= @t80 @t79))) % 0.38/0.61 (define @t93 () (not @t92)) % 0.38/0.61 (define @t94 () (@list false)) % 0.38/0.61 (define @t95 () (@quantifiers_skolemize @t92 0)) % 0.38/0.61 (define @t96 () (= @t76 @t95)) % 0.38/0.61 (define @t97 () (_ @t77 @t95)) % 0.38/0.61 (define @t98 () (= @t97 @t96)) % 0.38/0.61 (define @t99 () (not @t98)) % 0.38/0.61 (define @t100 () (= @t95 @t76)) % 0.38/0.61 (define @t101 () (= @t97 @t100)) % 0.38/0.61 (define @t102 () (not @t101)) % 0.38/0.61 (define @t103 () (not @t97)) % 0.38/0.61 (define @t104 () (or @t103 @t100)) % 0.38/0.61 (define @t105 () (or @t103 @t96)) % 0.38/0.61 (assume @p1 @t17) % 0.38/0.61 (assume @p2 @t24) % 0.38/0.61 (assume @p3 true) % 0.38/0.61 (step @p4 (= tptp.exu @t25) :rule refl :args (@t25)) % 0.38/0.61 (step @p5 :rule evaluate :args ((= false true))) % 0.38/0.61 (step @p6 :rule bool-impl-true2 :args (@t33)) % 0.38/0.61 (step @p7 :rule cong :premises (@p6) :args ((not (=> true @t33)))) % 0.38/0.61 (step @p8 :rule refl :args (@t33)) % 0.38/0.61 (step @p9 :rule bool-eq-true :args (tptp.exuE1)) % 0.38/0.61 (step @p10 :rule symm :premises (@p9)) % 0.38/0.61 (step @p11 :rule quant-unused-vars :args ((= (forall @t15 true) true))) % 0.38/0.61 (step @p12 :rule bool-or-taut :args (false @t37 false false)) % 0.38/0.61 (step @p13 :rule refl :args (@t38)) % 0.38/0.61 (step @p14 :rule bool-double-not-elim :args (@t37)) % 0.38/0.61 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t39 @t38))) % 0.38/0.61 (step @p16 :rule bool-impl-elim :args (@t38 @t38)) % 0.38/0.61 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.61 (step @p18 :rule trans :premises (@p17 @p12)) % 0.38/0.61 (step @p19 :rule cong :premises (@p18) :args ((forall @t15 (=> @t38 @t38)))) % 0.38/0.61 (step @p20 :rule trans :premises (@p19 @p11)) % 0.38/0.61 (step @p21 :rule refl :args (@t35)) % 0.38/0.61 (step @p22 :rule refl :args (@t36)) % 0.38/0.61 (step @p23 :rule refl :args (@t8)) % 0.38/0.61 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t8 @t36))) % 0.38/0.61 (step @p25 :rule symm :premises (@p24)) % 0.38/0.61 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.38/0.61 (step @p27 :rule cong :premises (@p26) :args (@t40)) % 0.38/0.61 (step @p28 :rule nary_cong :premises (@p27 @p21) :args (@t41)) % 0.38/0.61 (step @p29 :rule cong :premises (@p28) :args ((forall @t10 @t41))) % 0.38/0.61 (step @p30 :rule bool-and-de-morgan :args (@t8 @t34 true)) % 0.38/0.61 (step @p31 :rule cong :premises (@p30) :args (@t43)) % 0.38/0.61 (step @p32 :rule trans :premises (@p31 @p29)) % 0.38/0.61 (step @p33 :rule cong :premises (@p32) :args (@t44)) % 0.38/0.61 (step @p34 :rule exists-elim :args ((= (exists @t10 @t42) @t44))) % 0.38/0.61 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.61 (step @p36 :rule refl :args (@t3)) % 0.38/0.61 (step @p37 :rule refl :args (@t27)) % 0.38/0.61 (step @p38 :rule refl :args (@t5)) % 0.38/0.61 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t5 @t27))) % 0.38/0.61 (step @p40 :rule symm :premises (@p39)) % 0.38/0.61 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.38/0.61 (step @p42 :rule cong :premises (@p41) :args (@t45)) % 0.38/0.61 (step @p43 :rule nary_cong :premises (@p42 @p36) :args (@t46)) % 0.38/0.61 (step @p44 :rule cong :premises (@p43) :args ((forall @t6 @t46))) % 0.38/0.61 (step @p45 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.61 (step @p46 :rule cong :premises (@p45) :args (@t7)) % 0.38/0.61 (step @p47 :rule trans :premises (@p46 @p44)) % 0.38/0.61 (step @p48 :rule refl :args (@t8)) % 0.38/0.61 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t9)) % 0.38/0.61 (step @p50 :rule cong :premises (@p49) :args (@t11)) % 0.38/0.61 (step @p51 :rule trans :premises (@p50 @p35)) % 0.38/0.61 (step @p52 :rule refl :args (@t3)) % 0.38/0.61 (step @p53 :rule beta-reduce :args ((= @t47 @t5))) % 0.38/0.61 (step @p54 :rule cong :premises (@p53) :args (@t48)) % 0.38/0.61 (step @p55 :rule nary_cong :premises (@p54 @p52) :args (@t49)) % 0.38/0.61 (step @p56 :rule cong :premises (@p55) :args (@t50)) % 0.38/0.61 (step @p57 :rule trans :premises (@p56 @p44)) % 0.38/0.61 (step @p58 :rule cong :premises (@p57) :args (@t51)) % 0.38/0.61 (step @p59 :rule beta-reduce :args ((= @t52 @t8))) % 0.38/0.61 (step @p60 :rule cong :premises (@p59) :args (@t53)) % 0.38/0.61 (step @p61 :rule nary_cong :premises (@p60 @p58) :args (@t54)) % 0.38/0.61 (step @p62 :rule cong :premises (@p61) :args (@t55)) % 0.38/0.61 (step @p63 :rule trans :premises (@p62 @p29)) % 0.38/0.61 (step @p64 :rule cong :premises (@p63) :args (@t56)) % 0.38/0.61 (step @p65 :rule beta-reduce :args ((= @t57 @t56))) % 0.38/0.61 (step @p66 :rule trans :premises (@p65 @p64)) % 0.38/0.61 (step @p67 :rule cong :premises (@p66 @p51) :args (@t58)) % 0.38/0.61 (step @p68 :rule cong :premises (@p67) :args (@t59)) % 0.38/0.61 (step @p69 :rule trans :premises (@p68 @p20)) % 0.38/0.61 (step @p70 :rule refl :args (tptp.exuE1)) % 0.38/0.61 (step @p71 :rule cong :premises (@p70 @p69) :args ((= tptp.exuE1 @t59))) % 0.38/0.61 (step @p72 :rule trans :premises (@p71 @p9)) % 0.38/0.61 (step @p73 :rule refl :args (@t11)) % 0.38/0.61 (step @p74 :rule refl :args (@t12)) % 0.38/0.61 (step @p75 :rule cong :premises (@p51) :args (@t25)) % 0.38/0.61 (step @p76 :rule trans :premises (@p4 @p75)) % 0.38/0.61 (step @p77 :rule ho_cong :premises (@p76 @p74)) % 0.38/0.61 (step @p78 :rule cong :premises (@p77 @p73) :args (@t14)) % 0.38/0.61 (step @p79 :rule cong :premises (@p78) :args (@t16)) % 0.38/0.61 (step @p80 :rule cong :premises (@p70 @p79) :args (@t17)) % 0.38/0.61 (step @p81 :rule trans :premises (@p80 @p72)) % 0.38/0.61 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.38/0.61 (step @p83 :rule eq_resolve :premises (@p82 @p10)) % 0.38/0.61 (step @p84 :rule cong :premises (@p83 @p8) :args (@t60)) % 0.38/0.61 (step @p85 :rule cong :premises (@p84) :args ((not @t60))) % 0.38/0.61 (step @p86 :rule trans :premises (@p85 @p7)) % 0.38/0.61 (step @p87 :rule eq-symm :args (@t26 @t1)) % 0.38/0.61 (step @p88 :rule refl :args (@t28)) % 0.38/0.61 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t61)) % 0.38/0.61 (step @p90 :rule cong :premises (@p89) :args (@t62)) % 0.38/0.61 (step @p91 :rule cong :premises (@p90) :args (@t63)) % 0.38/0.61 (step @p92 :rule refl :args (@t29)) % 0.38/0.61 (step @p93 :rule refl :args (@t31)) % 0.38/0.61 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t64)) % 0.38/0.61 (step @p95 :rule aci_norm :args ((= @t66 @t64))) % 0.38/0.61 (step @p96 :rule trans :premises (@p95 @p94)) % 0.38/0.61 (step @p97 :rule cong :premises (@p96) :args (@t67)) % 0.38/0.61 (step @p98 :rule quant-merge-prenex :args ((= (forall @t15 @t69) @t67))) % 0.38/0.61 (step @p99 :rule refl :args (@t31)) % 0.38/0.61 (step @p100 :rule alpha_equiv :args (@t70 (@list @t26) (@list @t2))) % 0.38/0.61 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t71)) % 0.38/0.61 (step @p102 :rule quant-miniscope-or :args ((= @t69 @t71))) % 0.38/0.61 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.61 (step @p104 :rule symm :premises (@p103)) % 0.38/0.61 (step @p105 :rule cong :premises (@p104) :args ((forall @t15 (or @t37 @t31)))) % 0.38/0.61 (step @p106 :rule trans :premises (@p105 @p98)) % 0.38/0.61 (step @p107 :rule trans :premises (@p106 @p97)) % 0.38/0.61 (step @p108 :rule nary_cong :premises (@p14 @p99) :args ((or @t39 @t31))) % 0.38/0.61 (step @p109 :rule bool-impl-elim :args (@t38 @t31)) % 0.38/0.61 (step @p110 :rule trans :premises (@p109 @p108)) % 0.38/0.61 (step @p111 :rule cong :premises (@p110) :args ((forall @t15 (=> @t38 @t31)))) % 0.38/0.61 (step @p112 :rule trans :premises (@p111 @p107)) % 0.38/0.61 (step @p113 :rule exists-elim :args ((= (exists @t10 @t30) @t31))) % 0.38/0.61 (step @p114 :rule eq-symm :args (@t27 @t3)) % 0.38/0.61 (step @p115 :rule cong :premises (@p114) :args ((forall @t6 (= @t27 @t3)))) % 0.38/0.61 (step @p116 :rule cong :premises (@p41 @p36) :args (@t72)) % 0.38/0.61 (step @p117 :rule cong :premises (@p116) :args ((forall @t6 @t72))) % 0.38/0.61 (step @p118 :rule trans :premises (@p117 @p115)) % 0.38/0.61 (step @p119 :rule eq-symm :args (@t1 @t2)) % 0.38/0.61 (step @p120 :rule refl :args (@t5)) % 0.38/0.61 (step @p121 :rule cong :premises (@p120 @p119) :args (@t18)) % 0.38/0.61 (step @p122 :rule cong :premises (@p121) :args (@t19)) % 0.38/0.61 (step @p123 :rule trans :premises (@p122 @p118)) % 0.38/0.61 (step @p124 :rule cong :premises (@p123) :args (@t20)) % 0.38/0.61 (step @p125 :rule trans :premises (@p124 @p113)) % 0.38/0.61 (step @p126 :rule cong :premises (@p66 @p125) :args (@t73)) % 0.38/0.61 (step @p127 :rule cong :premises (@p126) :args (@t74)) % 0.38/0.61 (step @p128 :rule trans :premises (@p127 @p112)) % 0.38/0.61 (step @p129 :rule cong :premises (@p70 @p128) :args (@t75)) % 0.38/0.61 (step @p130 :rule cong :premises (@p129) :args ((not @t75))) % 0.38/0.61 (step @p131 :rule refl :args (@t20)) % 0.38/0.61 (step @p132 :rule cong :premises (@p77 @p131) :args (@t21)) % 0.38/0.61 (step @p133 :rule cong :premises (@p132) :args (@t22)) % 0.38/0.61 (step @p134 :rule cong :premises (@p70 @p133) :args (@t23)) % 0.38/0.61 (step @p135 :rule cong :premises (@p134) :args (@t24)) % 0.38/0.61 (step @p136 :rule trans :premises (@p135 @p130)) % 0.38/0.61 (step @p137 :rule trans :premises (@p136 @p86)) % 0.38/0.61 (step @p138 :rule eq_resolve :premises (@p2 @p137)) % 0.38/0.61 (step @p139 :rule skolemize :premises (@p138)) % 0.38/0.61 (step @p140 :rule bool-double-not-elim :args (@t78)) % 0.38/0.61 (step @p141 :rule refl :args (@t86)) % 0.38/0.61 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t86 (not @t83)))) % 0.38/0.61 (step @p143 :rule cnf_or_neg :args (@t86 1)) % 0.38/0.61 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.38/0.61 (step @p145 :rule reordering :premises (@p144) :args ((or @t78 @t86))) % 0.38/0.61 (step @p146 :rule chain_m_resolution :premises (@p145 @p139) :args (@t78 @t87 @t88)) % 0.38/0.61 (step @p147 :rule true_intro :premises (@p146)) % 0.38/0.61 (step @p148 :rule bool-double-not-elim :args (@t84)) % 0.38/0.61 (step @p149 :rule nary_cong :premises (@p141 @p148) :args ((or @t86 (not @t85)))) % 0.38/0.61 (step @p150 :rule cnf_or_neg :args (@t86 0)) % 0.38/0.61 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.38/0.61 (step @p152 :rule reordering :premises (@p151) :args ((or @t84 @t86))) % 0.38/0.61 (step @p153 :rule chain_m_resolution :premises (@p152 @p139) :args (@t84 @t87 @t88)) % 0.38/0.61 (step @p154 :rule eq-symm :args (@t76 @t1)) % 0.38/0.61 (step @p155 :rule refl :args (@t80)) % 0.38/0.61 (step @p156 :rule cong :premises (@p155 @p154) :args ((= @t80 @t89))) % 0.38/0.61 (step @p157 :rule eq-symm :args (@t89 @t80)) % 0.38/0.61 (step @p158 :rule trans :premises (@p157 @p156)) % 0.38/0.61 (step @p159 :rule cong :premises (@p158) :args (@t90)) % 0.38/0.61 (step @p160 :rule cong :premises (@p159) :args (@t91)) % 0.38/0.61 (step @p161 :rule refl :args (@t84)) % 0.38/0.61 (step @p162 :rule cong :premises (@p161 @p160) :args ((=> @t84 @t91))) % 0.38/0.61 (assume-push @p217 @t84) % 0.38/0.61 (step @p164 :rule instantiate :premises (@p153) :args ((@list @t76))) % 0.38/0.61 (step-pop @p218 :rule scope :premises (@p164)) % 0.38/0.61 (step @p165 :rule process_scope :premises (@p218) :args (@t91)) % 0.38/0.61 (step @p167 :rule eq_resolve :premises (@p165 @p162)) % 0.38/0.61 (step @p168 :rule implies_elim :premises (@p167)) % 0.38/0.61 (step @p169 :rule chain_m_resolution :premises (@p168 @p153) :args (@t93 @t94 (@list @t84))) % 0.38/0.61 (step @p170 :rule refl :args (@t99)) % 0.38/0.61 (step @p171 :rule bool-double-not-elim :args (@t92)) % 0.38/0.61 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or (not @t93) @t99))) % 0.38/0.61 (step @p173 :rule eq-symm :args (@t95 @t76)) % 0.38/0.61 (step @p174 :rule refl :args (@t97)) % 0.38/0.61 (step @p175 :rule cong :premises (@p174 @p173) :args (@t101)) % 0.38/0.61 (step @p176 :rule cong :premises (@p175) :args (@t102)) % 0.38/0.61 (step @p177 :rule refl :args (@t93)) % 0.38/0.61 (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t93 @t102))) % 0.38/0.61 (assume-push @p219 @t93) % 0.38/0.61 (step @p180 :rule skolemize :premises (@p169)) % 0.38/0.61 (step-pop @p220 :rule scope :premises (@p180)) % 0.38/0.61 (step @p181 :rule process_scope :premises (@p220) :args (@t102)) % 0.38/0.61 (step @p183 :rule eq_resolve :premises (@p181 @p178)) % 0.38/0.61 (step @p184 :rule implies_elim :premises (@p183)) % 0.38/0.61 (step @p185 :rule eq_resolve :premises (@p184 @p172)) % 0.38/0.61 (step @p186 :rule chain_m_resolution :premises (@p185 @p169) :args (@t99 @t87 (@list @t92))) % 0.38/0.61 (step @p187 :rule cnf_equiv_neg2 :args (@t98)) % 0.38/0.61 (step @p188 :rule bool-double-not-elim :args (@t81)) % 0.38/0.61 (step @p189 :rule nary_cong :premises (@p141 @p188) :args ((or @t86 (not @t82)))) % 0.38/0.61 (step @p190 :rule cnf_or_neg :args (@t86 2)) % 0.38/0.61 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.38/0.61 (step @p192 :rule reordering :premises (@p191) :args ((or @t81 @t86))) % 0.38/0.61 (step @p193 :rule chain_m_resolution :premises (@p192 @p139) :args (@t81 @t87 @t88)) % 0.38/0.61 (step @p194 :rule refl :args (@t103)) % 0.38/0.61 (step @p195 :rule nary_cong :premises (@p194 @p173) :args (@t104)) % 0.38/0.61 (step @p196 :rule refl :args (@t81)) % 0.38/0.61 (step @p197 :rule cong :premises (@p196 @p195) :args ((=> @t81 @t104))) % 0.38/0.61 (assume-push @p221 @t81) % 0.38/0.61 (step @p199 :rule instantiate :premises (@p193) :args ((@list @t95))) % 0.38/0.61 (step-pop @p222 :rule scope :premises (@p199)) % 0.38/0.61 (step @p200 :rule process_scope :premises (@p222) :args (@t104)) % 0.38/0.61 (step @p202 :rule eq_resolve :premises (@p200 @p197)) % 0.38/0.61 (step @p203 :rule implies_elim :premises (@p202)) % 0.38/0.61 (step @p204 :rule chain_m_resolution :premises (@p203 @p193) :args (@t105 @t94 (@list @t81))) % 0.38/0.61 (step @p205 :rule cnf_or_pos :args (@t105)) % 0.38/0.61 (step @p206 :rule reordering :premises (@p205) :args ((or @t96 @t103 (not @t105)))) % 0.38/0.61 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p187 @p186) :args (@t103 (@list false true true) (@list @t105 @t96 @t98))) % 0.38/0.61 (step @p208 :rule cnf_equiv_neg1 :args (@t98)) % 0.38/0.61 (step @p209 :rule reordering :premises (@p208) :args ((or @t97 @t96 @t98))) % 0.38/0.61 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p186) :args (@t96 (@list true true) (@list @t97 @t98))) % 0.38/0.61 (step @p211 :rule symm :premises (@p210)) % 0.38/0.61 (step @p212 :rule cong :premises (@p211) :args (@t97)) % 0.38/0.61 (step @p213 :rule false_intro :premises (@p207)) % 0.38/0.61 (step @p214 :rule symm :premises (@p213)) % 0.38/0.61 (step @p215 :rule trans :premises (@p214 @p212 @p147)) % 0.38/0.61 (step @p216 false :rule eq_resolve :premises (@p215 @p5)) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------