%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU798^2 : 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 : n005.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 08:53:14 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU798^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n005.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:51:48 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.39/0.56 (declare-const tptp.dsetconstrI Bool) % 0.39/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define tptp.injFuncSet () (let ((_let_1 (@var "Xf" $$unsorted))) (let ((_let_2 (@var "B" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ (_ tptp.dsetconstr (_ (_ tptp.funcSet _let_3) _let_2)) (lambda (@list _let_1) (_ (_ (_ tptp.injective _let_3) _let_2) _let_1)))))))) % 0.39/0.56 (define @t1 () (@var "Xy" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.39/0.56 (define @t3 () (_ @t2 @t1)) % 0.39/0.56 (define @t4 () (@list @t1)) % 0.39/0.56 (define @t5 () (lambda @t4 @t3)) % 0.39/0.56 (define @t6 () (@var "A" $$unsorted)) % 0.39/0.56 (define @t7 () (_ tptp.dsetconstr @t6)) % 0.39/0.56 (define @t8 () (_ @t7 @t5)) % 0.39/0.56 (define @t9 () (@var "Xx" $$unsorted)) % 0.39/0.56 (define @t10 () (_ tptp.in @t9)) % 0.39/0.56 (define @t11 () (_ @t10 @t8)) % 0.39/0.56 (define @t12 () (_ @t2 @t9)) % 0.39/0.56 (define @t13 () (=> @t12 @t11)) % 0.39/0.56 (define @t14 () (_ @t10 @t6)) % 0.39/0.56 (define @t15 () (@list @t6 @t2 @t9)) % 0.39/0.56 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.39/0.56 (define @t17 () (= tptp.dsetconstrI @t16)) % 0.39/0.56 (define @t18 () (@var "B" $$unsorted)) % 0.39/0.56 (define @t19 () (@var "Xf" $$unsorted)) % 0.39/0.56 (define @t20 () (_ tptp.in @t19)) % 0.39/0.56 (define @t21 () (_ (_ tptp.injective @t6) @t18)) % 0.39/0.56 (define @t22 () (_ @t21 @t19)) % 0.39/0.56 (define @t23 () (=> @t22 (_ @t20 (_ (_ tptp.injFuncSet @t6) @t18)))) % 0.39/0.56 (define @t24 () (_ (_ tptp.funcSet @t6) @t18)) % 0.39/0.56 (define @t25 () (_ @t20 @t24)) % 0.39/0.56 (define @t26 () (=> @t25 @t23)) % 0.39/0.56 (define @t27 () (@list @t6 @t18 @t19)) % 0.39/0.56 (define @t28 () (forall @t27 @t26)) % 0.39/0.56 (define @t29 () (=> tptp.dsetconstrI @t28)) % 0.39/0.56 (define @t30 () (not @t29)) % 0.39/0.56 (define @t31 () (lambda (@list @t19) @t22)) % 0.39/0.56 (define @t32 () (_ tptp.dsetconstr @t24)) % 0.39/0.56 (define @t33 () (_ @t32 @t31)) % 0.39/0.56 (define @t34 () (lambda (@list @t6 @t18) @t33)) % 0.39/0.56 (define @t35 () (@var "BOUND_VARIABLE_7503" $$unsorted)) % 0.39/0.56 (define @t36 () (tptp.injective @t6 @t18 @t35)) % 0.39/0.56 (define @t37 () (@list @t35)) % 0.39/0.56 (define @t38 () (lambda @t37 @t36)) % 0.39/0.56 (define @t39 () (tptp.funcSet @t6 @t18)) % 0.39/0.56 (define @t40 () (tptp.dsetconstr @t39 @t38)) % 0.39/0.56 (define @t41 () (tptp.in @t19 @t40)) % 0.39/0.56 (define @t42 () (tptp.injective @t6 @t18 @t19)) % 0.39/0.56 (define @t43 () (tptp.in @t19 @t39)) % 0.39/0.56 (define @t44 () (forall @t27 (or (not @t43) (not @t42) @t41))) % 0.39/0.56 (define @t45 () (_ @t2 @t1)) % 0.39/0.56 (define @t46 () (lambda @t4 @t45)) % 0.39/0.56 (define @t47 () (tptp.dsetconstr @t6 @t46)) % 0.39/0.56 (define @t48 () (tptp.in @t9 @t47)) % 0.39/0.56 (define @t49 () (_ @t2 @t9)) % 0.39/0.56 (define @t50 () (not @t49)) % 0.39/0.56 (define @t51 () (tptp.in @t9 @t6)) % 0.39/0.56 (define @t52 () (not @t51)) % 0.39/0.56 (define @t53 () (or @t52 @t50 @t48)) % 0.39/0.56 (define @t54 () (not @t12)) % 0.39/0.56 (define @t55 () (not @t14)) % 0.39/0.56 (define @t56 () (or @t55 @t54 @t11)) % 0.39/0.56 (define @t57 () (=> tptp.dsetconstrI @t44)) % 0.39/0.56 (define @t58 () (_ @t21 @t35)) % 0.39/0.56 (define @t59 () (lambda @t37 @t58)) % 0.39/0.56 (define @t60 () (_ @t32 @t59)) % 0.39/0.56 (define @t61 () (_ @t20 @t60)) % 0.39/0.56 (define @t62 () (not @t22)) % 0.39/0.56 (define @t63 () (not @t25)) % 0.39/0.56 (define @t64 () (or @t63 @t62 @t61)) % 0.39/0.56 (define @t65 () (=> @t22 @t61)) % 0.39/0.56 (define @t66 () (=> @t22 (_ @t20 @t33))) % 0.39/0.56 (define @t67 () (=> @t25 @t66)) % 0.39/0.56 (define @t68 () (lambda (@list @t18) @t33)) % 0.39/0.56 (define @t69 () (_ @t34 @t6)) % 0.39/0.56 (define @t70 () (=> @t22 (_ @t20 (_ @t69 @t18)))) % 0.39/0.56 (define @t71 () (=> @t25 @t70)) % 0.39/0.56 (define @t72 () (forall @t27 @t71)) % 0.39/0.56 (define @t73 () (=> tptp.dsetconstrI @t72)) % 0.39/0.56 (define @t74 () (@quantifiers_skolemize @t44 1)) % 0.39/0.56 (define @t75 () (@quantifiers_skolemize @t44 0)) % 0.39/0.56 (define @t76 () (_ (_ tptp.injective @t75) @t74)) % 0.39/0.56 (define @t77 () (tptp.funcSet @t75 @t74)) % 0.39/0.56 (define @t78 () (@quantifiers_skolemize @t44 2)) % 0.39/0.56 (define @t79 () (tptp.in @t78 (tptp.dsetconstr @t77 @t76))) % 0.39/0.56 (define @t80 () (tptp.injective @t75 @t74 @t78)) % 0.39/0.56 (define @t81 () (not @t80)) % 0.39/0.56 (define @t82 () (not (tptp.in @t78 @t77))) % 0.39/0.56 (define @t83 () (or @t82 @t81 @t79)) % 0.39/0.56 (define @t84 () (not @t83)) % 0.39/0.56 (define @t85 () (not @t44)) % 0.39/0.56 (define @t86 () (lambda @t37 (tptp.injective @t75 @t74 @t35))) % 0.39/0.56 (define @t87 () (tptp.dsetconstr @t77 @t86)) % 0.39/0.56 (define @t88 () (tptp.in @t78 @t87)) % 0.39/0.56 (define @t89 () (or @t82 @t81 @t88)) % 0.39/0.56 (define @t90 () (not @t89)) % 0.39/0.56 (define @t91 () (_ @t76 @t78)) % 0.39/0.56 (define @t92 () (not @t91)) % 0.39/0.56 (define @t93 () (or @t82 @t92 @t79)) % 0.39/0.56 (define @t94 () (forall @t15 (or @t52 @t50 (tptp.in @t9 (tptp.dsetconstr @t6 @t2))))) % 0.39/0.56 (define @t95 () (_ @t76 @t78)) % 0.39/0.56 (define @t96 () (not @t95)) % 0.39/0.56 (define @t97 () (or @t82 @t96 @t79)) % 0.39/0.56 (assume @p1 @t17) % 0.39/0.56 (assume @p2 @t30) % 0.39/0.56 (assume @p3 true) % 0.39/0.56 (step @p4 (= tptp.injFuncSet @t34) :rule refl :args (@t34)) % 0.39/0.56 (step @p5 :rule refl :args (@t44)) % 0.39/0.56 (step @p6 :rule lambda-elim :args ((= @t46 @t2))) % 0.39/0.56 (step @p7 :rule refl :args (@t6)) % 0.39/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args (@t47)) % 0.39/0.56 (step @p9 :rule refl :args (@t9)) % 0.39/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args (@t48)) % 0.39/0.56 (step @p11 :rule refl :args (@t50)) % 0.39/0.56 (step @p12 :rule refl :args (@t52)) % 0.39/0.56 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10) :args (@t53)) % 0.39/0.56 (step @p14 :rule cong :premises (@p13) :args ((forall @t15 @t53))) % 0.39/0.56 (step @p15 :rule refl :args ((tptp.in @t9 @t8))) % 0.39/0.56 (step @p16 :rule refl :args ((tptp.dsetconstr @t6 @t5))) % 0.39/0.56 (step @p17 :rule refl :args (@t45)) % 0.39/0.56 (step @p18 :rule cong :premises (@p17) :args (@t46)) % 0.39/0.56 (step @p19 :rule refl :args (@t6)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args (@t47)) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p16)) % 0.39/0.56 (step @p22 :rule refl :args (@t9)) % 0.39/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args (@t48)) % 0.39/0.56 (step @p24 :rule trans :premises (@p23 @p15)) % 0.39/0.56 (step @p25 :rule refl :args (@t10)) % 0.39/0.56 (step @p26 :rule ho_cong :premises (@p25 @p21)) % 0.39/0.56 (step @p27 :rule cong :premises (@p26 @p24) :args ((= (_ @t10 @t47) @t48))) % 0.39/0.56 (step @p28 :rule symm :premises (@p27)) % 0.39/0.56 (step @p29 :rule refl :args (@t11)) % 0.39/0.56 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.39/0.56 (step @p31 :rule refl :args (@t7)) % 0.39/0.56 (step @p32 :rule ho_cong :premises (@p31 @p18)) % 0.39/0.56 (step @p33 :rule cong :premises (@p32 @p21) :args ((= (_ @t7 @t46) @t47))) % 0.39/0.56 (step @p34 :rule symm :premises (@p33)) % 0.39/0.56 (step @p35 :rule refl :args (@t8)) % 0.39/0.56 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.39/0.56 (step @p37 :rule refl :args (@t3)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37 @p17) :args ((= @t3 @t45))) % 0.39/0.56 (step @p39 :rule symm :premises (@p38)) % 0.39/0.56 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.39/0.56 (step @p41 :rule cong :premises (@p40) :args (@t5)) % 0.39/0.56 (step @p42 :rule ho_cong :premises (@p31 @p41)) % 0.39/0.56 (step @p43 :rule trans :premises (@p42 @p36)) % 0.39/0.56 (step @p44 :rule ho_cong :premises (@p25 @p43)) % 0.39/0.56 (step @p45 :rule trans :premises (@p44 @p30)) % 0.39/0.56 (step @p46 :rule refl :args (@t49)) % 0.39/0.56 (step @p47 :rule refl :args (@t12)) % 0.39/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t12 @t49))) % 0.39/0.56 (step @p49 :rule symm :premises (@p48)) % 0.39/0.56 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.39/0.56 (step @p51 :rule cong :premises (@p50) :args (@t54)) % 0.39/0.56 (step @p52 :rule refl :args (@t51)) % 0.39/0.56 (step @p53 :rule refl :args (@t14)) % 0.39/0.56 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t14 @t51))) % 0.39/0.56 (step @p55 :rule symm :premises (@p54)) % 0.39/0.56 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.39/0.56 (step @p57 :rule cong :premises (@p56) :args (@t55)) % 0.39/0.56 (step @p58 :rule nary_cong :premises (@p57 @p51 @p45) :args (@t56)) % 0.39/0.56 (step @p59 :rule cong :premises (@p58) :args ((forall @t15 @t56))) % 0.39/0.56 (step @p60 :rule trans :premises (@p59 @p14)) % 0.39/0.56 (step @p61 :rule aci_norm :args ((= (or @t55 (or @t54 @t11)) @t56))) % 0.39/0.56 (step @p62 :rule bool-impl-elim :args (@t12 @t11)) % 0.39/0.56 (step @p63 :rule refl :args (@t55)) % 0.39/0.56 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t55 @t13))) % 0.39/0.56 (step @p65 :rule trans :premises (@p64 @p61)) % 0.39/0.56 (step @p66 :rule bool-impl-elim :args (@t14 @t13)) % 0.39/0.56 (step @p67 :rule trans :premises (@p66 @p65)) % 0.39/0.56 (step @p68 :rule cong :premises (@p67) :args (@t16)) % 0.39/0.56 (step @p69 :rule trans :premises (@p68 @p60)) % 0.39/0.56 (step @p70 :rule refl :args (tptp.dsetconstrI)) % 0.39/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args (@t17)) % 0.39/0.56 (step @p72 :rule eq_resolve :premises (@p1 @p71)) % 0.39/0.56 (step @p73 :rule cong :premises (@p72 @p5) :args (@t57)) % 0.39/0.56 (step @p74 :rule cong :premises (@p73) :args ((not @t57))) % 0.39/0.56 (step @p75 :rule refl :args ((tptp.in @t19 @t60))) % 0.39/0.56 (step @p76 :rule refl :args ((tptp.dsetconstr @t24 @t59))) % 0.39/0.56 (step @p77 :rule refl :args (@t36)) % 0.39/0.56 (step @p78 :rule cong :premises (@p77) :args (@t38)) % 0.39/0.56 (step @p79 :rule refl :args (@t39)) % 0.39/0.56 (step @p80 :rule cong :premises (@p79 @p78) :args (@t40)) % 0.39/0.56 (step @p81 :rule trans :premises (@p80 @p76)) % 0.39/0.56 (step @p82 :rule refl :args (@t19)) % 0.39/0.56 (step @p83 :rule cong :premises (@p82 @p81) :args (@t41)) % 0.39/0.56 (step @p84 :rule trans :premises (@p83 @p75)) % 0.39/0.56 (step @p85 :rule refl :args (@t20)) % 0.39/0.56 (step @p86 :rule ho_cong :premises (@p85 @p81)) % 0.39/0.56 (step @p87 :rule cong :premises (@p86 @p84) :args ((= (_ @t20 @t40) @t41))) % 0.39/0.56 (step @p88 :rule symm :premises (@p87)) % 0.39/0.56 (step @p89 :rule refl :args (@t61)) % 0.39/0.56 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.39/0.56 (step @p91 :rule refl :args (tptp.dsetconstr)) % 0.39/0.56 (step @p92 :rule ho_cong :premises (@p91 @p79)) % 0.39/0.56 (step @p93 :rule ho_cong :premises (@p92 @p78)) % 0.39/0.56 (step @p94 :rule cong :premises (@p93 @p81) :args ((= (_ (_ tptp.dsetconstr @t39) @t38) @t40))) % 0.39/0.56 (step @p95 :rule symm :premises (@p94)) % 0.39/0.56 (step @p96 :rule refl :args (@t60)) % 0.39/0.56 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.39/0.56 (step @p98 :rule refl :args (@t58)) % 0.39/0.56 (step @p99 :rule cong :premises (@p98 @p77) :args ((= @t58 @t36))) % 0.39/0.56 (step @p100 :rule symm :premises (@p99)) % 0.39/0.56 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 0.39/0.56 (step @p102 :rule cong :premises (@p101) :args (@t59)) % 0.39/0.56 (step @p103 :rule refl :args (@t24)) % 0.39/0.56 (step @p104 :rule cong :premises (@p103 @p79) :args ((= @t24 @t39))) % 0.39/0.56 (step @p105 :rule symm :premises (@p104)) % 0.39/0.56 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.39/0.56 (step @p107 :rule ho_cong :premises (@p91 @p106)) % 0.39/0.56 (step @p108 :rule ho_cong :premises (@p107 @p102)) % 0.39/0.56 (step @p109 :rule trans :premises (@p108 @p97)) % 0.39/0.56 (step @p110 :rule ho_cong :premises (@p85 @p109)) % 0.39/0.56 (step @p111 :rule trans :premises (@p110 @p90)) % 0.39/0.56 (step @p112 :rule refl :args (@t42)) % 0.39/0.56 (step @p113 :rule refl :args (@t22)) % 0.39/0.56 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t22 @t42))) % 0.39/0.56 (step @p115 :rule symm :premises (@p114)) % 0.39/0.56 (step @p116 :rule eq_resolve :premises (@p113 @p115)) % 0.39/0.56 (step @p117 :rule cong :premises (@p116) :args (@t62)) % 0.39/0.56 (step @p118 :rule refl :args ((tptp.in @t19 @t24))) % 0.39/0.56 (step @p119 :rule cong :premises (@p82 @p79) :args (@t43)) % 0.39/0.56 (step @p120 :rule trans :premises (@p119 @p118)) % 0.39/0.56 (step @p121 :rule ho_cong :premises (@p85 @p79)) % 0.39/0.56 (step @p122 :rule cong :premises (@p121 @p120) :args ((= (_ @t20 @t39) @t43))) % 0.39/0.56 (step @p123 :rule symm :premises (@p122)) % 0.39/0.56 (step @p124 :rule refl :args (@t25)) % 0.39/0.56 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 0.39/0.56 (step @p126 :rule ho_cong :premises (@p85 @p106)) % 0.39/0.56 (step @p127 :rule trans :premises (@p126 @p125)) % 0.39/0.56 (step @p128 :rule cong :premises (@p127) :args (@t63)) % 0.39/0.56 (step @p129 :rule nary_cong :premises (@p128 @p117 @p111) :args (@t64)) % 0.39/0.56 (step @p130 :rule cong :premises (@p129) :args ((forall @t27 @t64))) % 0.39/0.56 (step @p131 :rule aci_norm :args ((= (or @t63 (or @t62 @t61)) @t64))) % 0.39/0.56 (step @p132 :rule bool-impl-elim :args (@t22 @t61)) % 0.39/0.56 (step @p133 :rule refl :args (@t63)) % 0.39/0.56 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t63 @t65))) % 0.39/0.56 (step @p135 :rule trans :premises (@p134 @p131)) % 0.39/0.56 (step @p136 :rule bool-impl-elim :args (@t25 @t65)) % 0.39/0.56 (step @p137 :rule trans :premises (@p136 @p135)) % 0.39/0.56 (step @p138 :rule cong :premises (@p137) :args ((forall @t27 (=> @t25 @t65)))) % 0.39/0.56 (step @p139 :rule trans :premises (@p138 @p130)) % 0.39/0.56 (step @p140 :rule alpha_equiv :args (@t31 (@list @t19) (@list @t35))) % 0.39/0.56 (step @p141 :rule refl :args (@t32)) % 0.39/0.56 (step @p142 :rule ho_cong :premises (@p141 @p140)) % 0.39/0.56 (step @p143 :rule ho_cong :premises (@p85 @p142)) % 0.39/0.56 (step @p144 :rule cong :premises (@p113 @p143) :args (@t66)) % 0.39/0.56 (step @p145 :rule cong :premises (@p124 @p144) :args (@t67)) % 0.39/0.56 (step @p146 :rule cong :premises (@p145) :args ((forall @t27 @t67))) % 0.39/0.56 (step @p147 :rule trans :premises (@p146 @p139)) % 0.39/0.56 (step @p148 :rule beta-reduce :args ((= (_ @t68 @t18) @t33))) % 0.39/0.56 (step @p149 :rule refl :args (@t18)) % 0.39/0.56 (step @p150 :rule beta-reduce :args ((= @t69 @t68))) % 0.39/0.56 (step @p151 :rule ho_cong :premises (@p150 @p149)) % 0.39/0.56 (step @p152 :rule trans :premises (@p151 @p148)) % 0.39/0.56 (step @p153 :rule refl :args (@t20)) % 0.39/0.56 (step @p154 :rule ho_cong :premises (@p153 @p152)) % 0.39/0.56 (step @p155 :rule refl :args (@t22)) % 0.39/0.56 (step @p156 :rule cong :premises (@p155 @p154) :args (@t70)) % 0.39/0.56 (step @p157 :rule refl :args (@t25)) % 0.39/0.56 (step @p158 :rule cong :premises (@p157 @p156) :args (@t71)) % 0.39/0.56 (step @p159 :rule cong :premises (@p158) :args (@t72)) % 0.39/0.56 (step @p160 :rule trans :premises (@p159 @p147)) % 0.39/0.56 (step @p161 :rule cong :premises (@p70 @p160) :args (@t73)) % 0.39/0.56 (step @p162 :rule cong :premises (@p161) :args ((not @t73))) % 0.39/0.56 (step @p163 :rule ho_cong :premises (@p4 @p7)) % 0.39/0.56 (step @p164 :rule ho_cong :premises (@p163 @p149)) % 0.39/0.56 (step @p165 :rule ho_cong :premises (@p153 @p164)) % 0.39/0.56 (step @p166 :rule cong :premises (@p155 @p165) :args (@t23)) % 0.39/0.56 (step @p167 :rule cong :premises (@p157 @p166) :args (@t26)) % 0.39/0.56 (step @p168 :rule cong :premises (@p167) :args (@t28)) % 0.39/0.56 (step @p169 :rule cong :premises (@p70 @p168) :args (@t29)) % 0.39/0.56 (step @p170 :rule cong :premises (@p169) :args (@t30)) % 0.39/0.56 (step @p171 :rule trans :premises (@p170 @p162)) % 0.39/0.56 (step @p172 :rule trans :premises (@p171 @p74)) % 0.39/0.56 (step @p173 :rule eq_resolve :premises (@p2 @p172)) % 0.39/0.56 (step @p174 :rule not_implies_elim1 :premises (@p173)) % 0.39/0.56 (step @p175 :rule not_implies_elim2 :premises (@p173)) % 0.39/0.56 (step @p176 :rule refl :args (@t84)) % 0.39/0.56 (step @p177 :rule bool-double-not-elim :args (@t44)) % 0.39/0.56 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or (not @t85) @t84))) % 0.39/0.56 (step @p179 :rule lambda-elim :args ((= @t86 @t76))) % 0.39/0.56 (step @p180 :rule refl :args (@t77)) % 0.39/0.56 (step @p181 :rule cong :premises (@p180 @p179) :args (@t87)) % 0.39/0.56 (step @p182 :rule refl :args (@t78)) % 0.39/0.56 (step @p183 :rule cong :premises (@p182 @p181) :args (@t88)) % 0.39/0.56 (step @p184 :rule refl :args (@t81)) % 0.39/0.56 (step @p185 :rule refl :args (@t82)) % 0.39/0.56 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args (@t89)) % 0.39/0.56 (step @p187 :rule cong :premises (@p186) :args (@t90)) % 0.39/0.56 (step @p188 :rule refl :args (@t85)) % 0.39/0.56 (step @p189 :rule cong :premises (@p188 @p187) :args ((=> @t85 @t90))) % 0.39/0.56 (assume-push @p220 @t85) % 0.39/0.56 (step @p191 :rule skolemize :premises (@p175)) % 0.39/0.56 (step-pop @p221 :rule scope :premises (@p191)) % 0.39/0.56 (step @p192 :rule process_scope :premises (@p221) :args (@t90)) % 0.39/0.56 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 0.39/0.56 (step @p195 :rule implies_elim :premises (@p194)) % 0.39/0.56 (step @p196 :rule eq_resolve :premises (@p195 @p178)) % 0.39/0.56 (step @p197 :rule chain_m_resolution :premises (@p196 @p175) :args (@t84 (@list true) (@list @t44))) % 0.39/0.56 (step @p198 :rule refl :args (@t79)) % 0.39/0.56 (step @p199 :rule refl :args (@t80)) % 0.39/0.56 (step @p200 :rule refl :args (@t91)) % 0.39/0.56 (step @p201 :rule cong :premises (@p200 @p199) :args ((= @t91 @t80))) % 0.39/0.56 (step @p202 :rule symm :premises (@p201)) % 0.39/0.56 (step @p203 :rule eq_resolve :premises (@p200 @p202)) % 0.39/0.56 (step @p204 :rule cong :premises (@p203) :args (@t92)) % 0.39/0.56 (step @p205 :rule nary_cong :premises (@p185 @p204 @p198) :args (@t93)) % 0.39/0.56 (step @p206 :rule refl :args (@t94)) % 0.39/0.56 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t94 @t93))) % 0.39/0.56 (step @p208 :rule refl :args (@t95)) % 0.39/0.56 (step @p209 :rule cong :premises (@p208) :args (@t96)) % 0.39/0.56 (step @p210 :rule nary_cong :premises (@p185 @p209 @p198) :args (@t97)) % 0.39/0.56 (step @p211 :rule cong :premises (@p206 @p210) :args ((=> @t94 @t97))) % 0.39/0.56 (assume-push @p222 @t94) % 0.39/0.56 (step @p213 :rule instantiate :premises (@p174) :args ((@list @t77 @t76 @t78))) % 0.39/0.56 (step-pop @p223 :rule scope :premises (@p213)) % 0.39/0.56 (step @p214 :rule process_scope :premises (@p223) :args (@t97)) % 0.39/0.56 (step @p216 :rule eq_resolve :premises (@p214 @p211)) % 0.39/0.56 (step @p217 :rule eq_resolve :premises (@p216 @p207)) % 0.39/0.56 (step @p218 :rule implies_elim :premises (@p217)) % 0.39/0.56 (step @p219 false :rule chain_m_resolution :premises (@p218 @p197 @p174) :args (false (@list true false) (@list @t83 @t94))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------